TSTP Solution File: ITP013+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP013+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 22:44:01 EDT 2024
% Result : Theorem 11.32s 2.03s
% Output : Refutation 11.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 337
% Syntax : Number of formulae : 1121 ( 122 unt; 0 def)
% Number of atoms : 3588 ( 742 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 4230 (1763 ~;2013 |; 89 &)
% ( 336 <=>; 28 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 299 ( 297 usr; 296 prp; 0-4 aty)
% Number of functors : 47 ( 47 usr; 25 con; 0-4 aty)
% Number of variables : 2027 (2011 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21785,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f258,f263,f268,f272,f276,f280,f284,f288,f292,f305,f309,f313,f318,f322,f326,f330,f334,f416,f420,f424,f486,f490,f494,f498,f502,f506,f616,f620,f624,f628,f632,f636,f640,f673,f683,f687,f744,f761,f765,f783,f803,f807,f832,f836,f840,f950,f968,f1049,f1053,f1057,f1061,f1065,f1069,f1227,f1231,f1282,f1286,f1290,f1294,f1298,f1402,f1406,f1410,f1582,f1618,f1652,f1656,f1681,f1706,f1710,f1881,f1923,f1927,f2027,f2032,f2080,f2388,f2418,f2449,f2457,f2469,f2478,f2501,f2502,f2503,f2617,f2943,f4049,f4419,f4428,f4436,f4448,f4456,f4532,f4542,f4567,f4568,f4569,f4845,f5147,f5924,f5928,f5932,f5936,f5940,f5944,f5948,f6160,f6164,f6168,f6172,f6176,f6180,f6326,f6384,f6388,f6469,f6473,f6477,f6481,f6485,f6489,f6700,f6704,f6708,f6712,f6735,f6739,f6743,f6747,f6751,f6755,f8016,f8387,f8391,f8395,f8692,f8696,f8700,f8704,f8708,f8712,f8716,f8720,f8752,f8756,f8760,f8820,f8824,f8891,f8895,f8899,f8904,f10075,f10079,f10083,f10087,f10091,f10095,f10099,f10103,f10107,f10111,f10416,f10444,f10448,f10452,f10456,f10460,f10464,f10468,f11032,f11036,f11040,f11044,f11048,f11056,f11060,f11364,f11399,f11403,f11459,f11513,f11665,f11669,f11673,f11677,f11681,f11685,f11689,f12092,f12096,f12100,f12104,f12108,f12112,f12116,f12120,f12200,f12685,f12689,f12693,f12702,f13000,f13004,f13442,f13447,f13451,f14021,f14025,f14029,f14033,f14037,f14041,f14045,f14108,f14112,f14116,f14120,f14743,f15306,f15310,f15314,f15318,f15739,f15743,f15747,f15954,f15958,f15962,f15966,f15970,f15974,f15978,f15982,f15986,f15990,f15994,f15998,f16002,f16786,f16790,f16794,f16798,f16802,f16806,f16810,f16956,f17585,f17589,f17593,f17597,f18071,f18076,f18149,f18154,f18225,f18268,f18339,f18422,f18480,f18484,f18586,f18590,f18594,f18706,f18710,f18952,f19012,f19016,f19148,f19152,f19156,f19160,f19164,f19282,f19531,f19535,f19693,f19697,f19702,f19706,f19710,f19714,f19718,f19722,f20713,f20717,f20721,f21015,f21020,f21021,f21704,f21709,f21731,f21736,f21759,f21764,f21784]) ).
fof(f21784,plain,
( spl7_81
| spl7_2
| ~ spl7_93 ),
inference(avatar_split_clause,[],[f21116,f4450,f255,f2451]) ).
fof(f2451,plain,
( spl7_81
<=> ! [X0] : ~ p(s(tyop_2Emin_2Ebool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_81])]) ).
fof(f255,plain,
( spl7_2
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f4450,plain,
( spl7_93
<=> ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_93])]) ).
fof(f21116,plain,
( ! [X0] : ~ p(s(tyop_2Emin_2Ebool,X0))
| spl7_2
| ~ spl7_93 ),
inference(superposition,[],[f257,f4451]) ).
fof(f4451,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ spl7_93 ),
inference(avatar_component_clause,[],[f4450]) ).
fof(f257,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| spl7_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f21764,plain,
( spl7_295
| ~ spl7_23
| ~ spl7_93
| ~ spl7_294 ),
inference(avatar_split_clause,[],[f21760,f21757,f4450,f488,f21762]) ).
fof(f21762,plain,
( spl7_295
<=> ! [X3,X4,X0,X5,X2,X1] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_295])]) ).
fof(f488,plain,
( spl7_23
<=> ! [X2,X0,X1] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f21757,plain,
( spl7_294
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_294])]) ).
fof(f21760,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_23
| ~ spl7_93
| ~ spl7_294 ),
inference(forward_demodulation,[],[f21758,f21118]) ).
fof(f21118,plain,
( ! [X2,X3,X0,X1] : s(X1,X2) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X3),s(X1,X2)))
| ~ spl7_23
| ~ spl7_93 ),
inference(superposition,[],[f489,f4451]) ).
fof(f489,plain,
( ! [X2,X0,X1] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2)))
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f21758,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_294 ),
inference(avatar_component_clause,[],[f21757]) ).
fof(f21759,plain,
( spl7_294
| ~ spl7_38
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1819,f1704,f742,f21757]) ).
fof(f742,plain,
( spl7_38
<=> ! [X0,X3,X2,X1] :
( sP0(X3,X1,X2,X0)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).
fof(f1704,plain,
( spl7_70
<=> ! [X0,X3,X2,X1] : s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X2),s(X0,X3))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))),s(X0,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_70])]) ).
fof(f1819,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_70 ),
inference(superposition,[],[f743,f1705]) ).
fof(f1705,plain,
( ! [X2,X3,X0,X1] : s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X2),s(X0,X3))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))),s(X0,X3)))
| ~ spl7_70 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f743,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| sP0(X3,X1,X2,X0)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_38 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f21736,plain,
( spl7_293
| ~ spl7_23
| ~ spl7_93
| ~ spl7_292 ),
inference(avatar_split_clause,[],[f21732,f21729,f4450,f488,f21734]) ).
fof(f21734,plain,
( spl7_293
<=> ! [X3,X4,X0,X5,X2,X1] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_293])]) ).
fof(f21729,plain,
( spl7_292
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_292])]) ).
fof(f21732,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_23
| ~ spl7_93
| ~ spl7_292 ),
inference(forward_demodulation,[],[f21730,f21118]) ).
fof(f21730,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_292 ),
inference(avatar_component_clause,[],[f21729]) ).
fof(f21731,plain,
( spl7_292
| ~ spl7_38
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1818,f1704,f742,f21729]) ).
fof(f1818,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_70 ),
inference(superposition,[],[f743,f1705]) ).
fof(f21709,plain,
( spl7_291
| ~ spl7_23
| ~ spl7_93
| ~ spl7_290 ),
inference(avatar_split_clause,[],[f21705,f21702,f4450,f488,f21707]) ).
fof(f21707,plain,
( spl7_291
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_291])]) ).
fof(f21702,plain,
( spl7_290
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_290])]) ).
fof(f21705,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_23
| ~ spl7_93
| ~ spl7_290 ),
inference(forward_demodulation,[],[f21703,f21118]) ).
fof(f21703,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_290 ),
inference(avatar_component_clause,[],[f21702]) ).
fof(f21704,plain,
( spl7_290
| ~ spl7_27
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1810,f1704,f504,f21702]) ).
fof(f504,plain,
( spl7_27
<=> ! [X0,X3,X2,X1] :
( sP0(X3,X1,X2,X0)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
fof(f1810,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_27
| ~ spl7_70 ),
inference(superposition,[],[f505,f1705]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X3,X1,X2,X0) )
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f21021,plain,
( spl7_94
| ~ spl7_14
| ~ spl7_279 ),
inference(avatar_split_clause,[],[f19813,f19699,f315,f4453]) ).
fof(f4453,plain,
( spl7_94
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_94])]) ).
fof(f315,plain,
( spl7_14
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f19699,plain,
( spl7_279
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_279])]) ).
fof(f19813,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ spl7_14
| ~ spl7_279 ),
inference(superposition,[],[f19701,f317]) ).
fof(f317,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f19701,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_279 ),
inference(avatar_component_clause,[],[f19699]) ).
fof(f21020,plain,
( spl7_289
| ~ spl7_14
| ~ spl7_279
| ~ spl7_288 ),
inference(avatar_split_clause,[],[f21016,f21013,f19699,f315,f21018]) ).
fof(f21018,plain,
( spl7_289
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_289])]) ).
fof(f21013,plain,
( spl7_288
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_288])]) ).
fof(f21016,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_14
| ~ spl7_279
| ~ spl7_288 ),
inference(forward_demodulation,[],[f21014,f19813]) ).
fof(f21014,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_288 ),
inference(avatar_component_clause,[],[f21013]) ).
fof(f21015,plain,
( spl7_288
| ~ spl7_11
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1754,f1704,f303,f21013]) ).
fof(f303,plain,
( spl7_11
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f1754,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))) )
| ~ spl7_11
| ~ spl7_70 ),
inference(superposition,[],[f1705,f304]) ).
fof(f304,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f20721,plain,
( spl7_287
| ~ spl7_53
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f2299,f2078,f1063,f20719]) ).
fof(f20719,plain,
( spl7_287
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_287])]) ).
fof(f1063,plain,
( spl7_53
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_53])]) ).
fof(f2078,plain,
( spl7_77
<=> ! [X2,X3,X4,X0,X5,X1] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X0,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(X0,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),s(X0,X5))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_77])]) ).
fof(f2299,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_53
| ~ spl7_77 ),
inference(superposition,[],[f1064,f2079]) ).
fof(f2079,plain,
( ! [X2,X3,X0,X1,X4,X5] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X0,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(X0,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),s(X0,X5))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X5)))))
| ~ spl7_77 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f1064,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_53 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f20717,plain,
( spl7_286
| ~ spl7_51
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f2296,f2078,f1055,f20715]) ).
fof(f20715,plain,
( spl7_286
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_286])]) ).
fof(f1055,plain,
( spl7_51
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_51])]) ).
fof(f2296,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_51
| ~ spl7_77 ),
inference(superposition,[],[f1056,f2079]) ).
fof(f1056,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_51 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f20713,plain,
( spl7_285
| ~ spl7_49
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f2293,f2078,f1047,f20711]) ).
fof(f20711,plain,
( spl7_285
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_285])]) ).
fof(f1047,plain,
( spl7_49
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_49])]) ).
fof(f2293,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),combin_s_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_49
| ~ spl7_77 ),
inference(superposition,[],[f1048,f2079]) ).
fof(f1048,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_49 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f19722,plain,
( spl7_284
| ~ spl7_48
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f2141,f2078,f966,f19720]) ).
fof(f19720,plain,
( spl7_284
<=> ! [X0,X3,X2,X1] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X0))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0))),s(tyop_2Emin_2Efun(X0,X1),X3))),s(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_284])]) ).
fof(f966,plain,
( spl7_48
<=> ! [X0,X3,X2,X1] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_48])]) ).
fof(f2141,plain,
( ! [X2,X3,X0,X1] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X0))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0))),s(tyop_2Emin_2Efun(X0,X1),X3))),s(X0,X2)))
| ~ spl7_48
| ~ spl7_77 ),
inference(superposition,[],[f2079,f967]) ).
fof(f967,plain,
( ! [X2,X3,X0,X1] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3)))
| ~ spl7_48 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f19718,plain,
( spl7_283
| ~ spl7_46
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1646,f1616,f838,f19716]) ).
fof(f19716,plain,
( spl7_283
<=> ! [X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1,c_2Ewords_2En2w_2E0)))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1),s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1,c_2Ewords_2En2w_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_283])]) ).
fof(f838,plain,
( spl7_46
<=> ! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_46])]) ).
fof(f1616,plain,
( spl7_66
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK6(X0,X1,X2,X3)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK6(X0,X1,X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_66])]) ).
fof(f1646,plain,
( ! [X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1,c_2Ewords_2En2w_2E0)))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1),s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1,c_2Ewords_2En2w_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1) )
| ~ spl7_46
| ~ spl7_66 ),
inference(superposition,[],[f1617,f839]) ).
fof(f839,plain,
( ! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X1)))
| ~ spl7_46 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1617,plain,
( ! [X2,X3,X0,X1] :
( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK6(X0,X1,X2,X3)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK6(X0,X1,X2,X3))))
| s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3) )
| ~ spl7_66 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f19714,plain,
( spl7_282
| ~ spl7_45
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1641,f1616,f834,f19712]) ).
fof(f19712,plain,
( spl7_282
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_3F_2E0)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_3F_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_282])]) ).
fof(f834,plain,
( spl7_45
<=> ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_45])]) ).
fof(f1641,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_3F_2E0)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_3F_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) )
| ~ spl7_45
| ~ spl7_66 ),
inference(superposition,[],[f1617,f835]) ).
fof(f835,plain,
( ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| ~ spl7_45 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f19710,plain,
( spl7_281
| ~ spl7_44
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1640,f1616,f830,f19708]) ).
fof(f19708,plain,
( spl7_281
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_21_2E0)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_21_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_281])]) ).
fof(f830,plain,
( spl7_44
<=> ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_44])]) ).
fof(f1640,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_21_2E0)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,X1,c_2Ebool_2E_21_2E0))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) )
| ~ spl7_44
| ~ spl7_66 ),
inference(superposition,[],[f1617,f831]) ).
fof(f831,plain,
( ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| ~ spl7_44 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f19706,plain,
( spl7_280
| ~ spl7_46
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1631,f1616,f838,f19704]) ).
fof(f19704,plain,
( spl7_280
<=> ! [X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0,X1)))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1),s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_280])]) ).
fof(f1631,plain,
( ! [X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0,X1)))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1),s(tyop_2Enum_2Enum,sK6(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),X1) )
| ~ spl7_46
| ~ spl7_66 ),
inference(superposition,[],[f1617,f839]) ).
fof(f19702,plain,
( spl7_279
| spl7_4
| ~ spl7_273 ),
inference(avatar_split_clause,[],[f19527,f19162,f265,f19699]) ).
fof(f265,plain,
( spl7_4
<=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f19162,plain,
( spl7_273
<=> ! [X2,X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_273])]) ).
fof(f19527,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| spl7_4
| ~ spl7_273 ),
inference(trivial_inequality_removal,[],[f19481]) ).
fof(f19481,plain,
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| spl7_4
| ~ spl7_273 ),
inference(superposition,[],[f267,f19163]) ).
fof(f19163,plain,
( ! [X2,X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) )
| ~ spl7_273 ),
inference(avatar_component_clause,[],[f19162]) ).
fof(f267,plain,
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3)))))
| spl7_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f19697,plain,
( spl7_278
| ~ spl7_45
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1626,f1616,f834,f19695]) ).
fof(f19695,plain,
( spl7_278
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0,X1)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_278])]) ).
fof(f1626,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0,X1)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) )
| ~ spl7_45
| ~ spl7_66 ),
inference(superposition,[],[f1617,f835]) ).
fof(f19693,plain,
( spl7_277
| ~ spl7_44
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1625,f1616,f830,f19691]) ).
fof(f19691,plain,
( spl7_277
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0,X1)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_277])]) ).
fof(f1625,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0,X1)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK6(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0,X1))))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X1) )
| ~ spl7_44
| ~ spl7_66 ),
inference(superposition,[],[f1617,f831]) ).
fof(f19535,plain,
( spl7_276
| ~ spl7_48
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1639,f1616,f966,f19533]) ).
fof(f19533,plain,
( spl7_276
<=> ! [X0,X3,X2,X1] :
( s(X0,X2) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sK6(X1,X0,X3,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))))))
| s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))) = s(tyop_2Emin_2Efun(X1,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_276])]) ).
fof(f1639,plain,
( ! [X2,X3,X0,X1] :
( s(X0,X2) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sK6(X1,X0,X3,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))))))
| s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))) = s(tyop_2Emin_2Efun(X1,X0),X3) )
| ~ spl7_48
| ~ spl7_66 ),
inference(superposition,[],[f1617,f967]) ).
fof(f19531,plain,
( spl7_275
| ~ spl7_48
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1624,f1616,f966,f19529]) ).
fof(f19529,plain,
( spl7_275
<=> ! [X0,X3,X2,X1] :
( s(X0,X2) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sK6(X1,X0,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2)),X3))))
| s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))) = s(tyop_2Emin_2Efun(X1,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_275])]) ).
fof(f1624,plain,
( ! [X2,X3,X0,X1] :
( s(X0,X2) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sK6(X1,X0,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2)),X3))))
| s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))) = s(tyop_2Emin_2Efun(X1,X0),X3) )
| ~ spl7_48
| ~ spl7_66 ),
inference(superposition,[],[f1617,f967]) ).
fof(f19282,plain,
( spl7_274
| ~ spl7_11
| ~ spl7_227 ),
inference(avatar_split_clause,[],[f16705,f15956,f303,f19280]) ).
fof(f19280,plain,
( spl7_274
<=> ! [X0] :
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_274])]) ).
fof(f15956,plain,
( spl7_227
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_227])]) ).
fof(f16705,plain,
( ! [X0] :
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_227 ),
inference(trivial_inequality_removal,[],[f16678]) ).
fof(f16678,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_227 ),
inference(superposition,[],[f15957,f304]) ).
fof(f15957,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0) )
| ~ spl7_227 ),
inference(avatar_component_clause,[],[f15956]) ).
fof(f19164,plain,
( spl7_273
| ~ spl7_11
| ~ spl7_22
| ~ spl7_76 ),
inference(avatar_split_clause,[],[f2076,f2030,f484,f303,f19162]) ).
fof(f484,plain,
( spl7_22
<=> ! [X4,X0,X3] : s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X3),s(X0,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f2030,plain,
( spl7_76
<=> ! [X2,X1,X3] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_76])]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) )
| ~ spl7_11
| ~ spl7_22
| ~ spl7_76 ),
inference(forward_demodulation,[],[f2034,f485]) ).
fof(f485,plain,
( ! [X3,X0,X4] : s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X3),s(X0,X4)))
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f2034,plain,
( ! [X2,X0,X1] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))))))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) )
| ~ spl7_11
| ~ spl7_76 ),
inference(superposition,[],[f2031,f304]) ).
fof(f2031,plain,
( ! [X2,X3,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3)))))
| ~ spl7_76 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f19160,plain,
( spl7_272
| ~ spl7_11
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1643,f1616,f303,f19158]) ).
fof(f19158,plain,
( spl7_272
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK6(X0,tyop_2Emin_2Ebool,X2,X1))))
| s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK6(X0,tyop_2Emin_2Ebool,X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_272])]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK6(X0,tyop_2Emin_2Ebool,X2,X1))))
| s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK6(X0,tyop_2Emin_2Ebool,X2,X1)))) )
| ~ spl7_11
| ~ spl7_66 ),
inference(superposition,[],[f1617,f304]) ).
fof(f19156,plain,
( spl7_271
| ~ spl7_11
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1628,f1616,f303,f19154]) ).
fof(f19154,plain,
( spl7_271
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK6(X0,tyop_2Emin_2Ebool,X1,X2))))
| s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK6(X0,tyop_2Emin_2Ebool,X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_271])]) ).
fof(f1628,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK6(X0,tyop_2Emin_2Ebool,X1,X2))))
| s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK6(X0,tyop_2Emin_2Ebool,X1,X2)))) )
| ~ spl7_11
| ~ spl7_66 ),
inference(superposition,[],[f1617,f304]) ).
fof(f19152,plain,
( spl7_270
| ~ spl7_42
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1004,f966,f801,f19150]) ).
fof(f19150,plain,
( spl7_270
<=> ! [X0,X3,X2,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK4(X0,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))),combin_k_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))),s(X1,X3)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_270])]) ).
fof(f801,plain,
( spl7_42
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).
fof(f1004,plain,
( ! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK4(X0,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))),combin_k_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))),s(X1,X3)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) )
| ~ spl7_42
| ~ spl7_48 ),
inference(superposition,[],[f802,f967]) ).
fof(f802,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_42 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f19148,plain,
( spl7_269
| ~ spl7_43
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1003,f966,f805,f19146]) ).
fof(f19146,plain,
( spl7_269
<=> ! [X0,X3,X2,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))),combin_k_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))),s(X1,X3)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_269])]) ).
fof(f805,plain,
( spl7_43
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_43])]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))),combin_k_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))),s(X1,X3)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) )
| ~ spl7_43
| ~ spl7_48 ),
inference(superposition,[],[f806,f967]) ).
fof(f806,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_43 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f19016,plain,
( spl7_268
| ~ spl7_65
| ~ spl7_72 ),
inference(avatar_split_clause,[],[f1896,f1879,f1580,f19014]) ).
fof(f19014,plain,
( spl7_268
<=> ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_268])]) ).
fof(f1580,plain,
( spl7_65
<=> ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_65])]) ).
fof(f1879,plain,
( spl7_72
<=> ! [X4,X5,X0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_72])]) ).
fof(f1896,plain,
( ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))
| ~ spl7_65
| ~ spl7_72 ),
inference(superposition,[],[f1880,f1581]) ).
fof(f1581,plain,
( ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2)))))
| ~ spl7_65 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1880,plain,
( ! [X0,X4,X5] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5)))))))
| ~ spl7_72 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f19012,plain,
( spl7_267
| ~ spl7_27
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1532,f1408,f504,f19010]) ).
fof(f19010,plain,
( spl7_267
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_267])]) ).
fof(f1408,plain,
( spl7_64
<=> ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_64])]) ).
fof(f1532,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X4,X2) )
| ~ spl7_27
| ~ spl7_64 ),
inference(superposition,[],[f505,f1409]) ).
fof(f1409,plain,
( ! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)))
| ~ spl7_64 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f18952,plain,
( spl7_266
| ~ spl7_11
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1637,f1616,f303,f18950]) ).
fof(f18950,plain,
( spl7_266
<=> ! [X2,X0,X1] :
( s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) != s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X2),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X1) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X2)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK6(tyop_2Emin_2Ebool,X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_266])]) ).
fof(f1637,plain,
( ! [X2,X0,X1] :
( s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) != s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X2),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))
| s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X1) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X0),X2)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK6(tyop_2Emin_2Ebool,X0,X1,X2)) )
| ~ spl7_11
| ~ spl7_66 ),
inference(superposition,[],[f1617,f304]) ).
fof(f18710,plain,
( spl7_265
| ~ spl7_39
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1783,f1704,f759,f18708]) ).
fof(f18708,plain,
( spl7_265
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_265])]) ).
fof(f759,plain,
( spl7_39
<=> ! [X0,X1,X3] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_39])]) ).
fof(f1783,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_39
| ~ spl7_70 ),
inference(superposition,[],[f760,f1705]) ).
fof(f760,plain,
( ! [X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f18706,plain,
( spl7_264
| ~ spl7_40
| ~ spl7_70 ),
inference(avatar_split_clause,[],[f1782,f1704,f763,f18704]) ).
fof(f18704,plain,
( spl7_264
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_264])]) ).
fof(f763,plain,
( spl7_40
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_40
| ~ spl7_70 ),
inference(superposition,[],[f764,f1705]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_40 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f18594,plain,
( spl7_263
| ~ spl7_38
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1540,f1408,f742,f18592]) ).
fof(f18592,plain,
( spl7_263
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_263])]) ).
fof(f1540,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_64 ),
inference(superposition,[],[f743,f1409]) ).
fof(f18590,plain,
( spl7_262
| ~ spl7_38
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1539,f1408,f742,f18588]) ).
fof(f18588,plain,
( spl7_262
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_262])]) ).
fof(f1539,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_64 ),
inference(superposition,[],[f743,f1409]) ).
fof(f18586,plain,
( spl7_261
| ~ spl7_238 ),
inference(avatar_split_clause,[],[f18260,f16000,f18583]) ).
fof(f18583,plain,
( spl7_261
<=> sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_261])]) ).
fof(f16000,plain,
( spl7_238
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_238])]) ).
fof(f18260,plain,
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_238 ),
inference(equality_resolution,[],[f16001]) ).
fof(f16001,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_238 ),
inference(avatar_component_clause,[],[f16000]) ).
fof(f18484,plain,
( spl7_260
| ~ spl7_43
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1506,f1408,f805,f18482]) ).
fof(f18482,plain,
( spl7_260
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,sK5(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_260])]) ).
fof(f1506,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,sK5(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) )
| ~ spl7_43
| ~ spl7_64 ),
inference(superposition,[],[f806,f1409]) ).
fof(f18480,plain,
( spl7_259
| ~ spl7_42
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1505,f1408,f801,f18478]) ).
fof(f18478,plain,
( spl7_259
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,sK4(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_259])]) ).
fof(f1505,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,sK4(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) )
| ~ spl7_42
| ~ spl7_64 ),
inference(superposition,[],[f802,f1409]) ).
fof(f18422,plain,
( spl7_258
| ~ spl7_27
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1531,f1408,f504,f18420]) ).
fof(f18420,plain,
( spl7_258
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_258])]) ).
fof(f1531,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) )
| ~ spl7_27
| ~ spl7_64 ),
inference(superposition,[],[f505,f1409]) ).
fof(f18339,plain,
( spl7_257
| ~ spl7_71 ),
inference(avatar_split_clause,[],[f1877,f1708,f18337]) ).
fof(f18337,plain,
( spl7_257
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(X0,X2) != s(X0,X1)
| s(X0,X4) != s(X0,X3)
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X5),s(X0,X4),s(X0,X1))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X5),s(X0,X3),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_257])]) ).
fof(f1708,plain,
( spl7_71
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| s(X0,X5) != s(X0,X6)
| s(X0,X4) != s(X0,X3)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_71])]) ).
fof(f1877,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(X0,X2) != s(X0,X1)
| s(X0,X4) != s(X0,X3)
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X5),s(X0,X4),s(X0,X1))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X5),s(X0,X3),s(X0,X2))) )
| ~ spl7_71 ),
inference(equality_resolution,[],[f1709]) ).
fof(f1709,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| s(X0,X5) != s(X0,X6)
| s(X0,X4) != s(X0,X3)
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6))) )
| ~ spl7_71 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f18268,plain,
( spl7_256
| ~ spl7_3
| ~ spl7_6
| ~ spl7_150
| ~ spl7_255 ),
inference(avatar_split_clause,[],[f18226,f18223,f8897,f274,f260,f18266]) ).
fof(f18266,plain,
( spl7_256
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_256])]) ).
fof(f260,plain,
( spl7_3
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f274,plain,
( spl7_6
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f8897,plain,
( spl7_150
<=> ! [X1] : p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_150])]) ).
fof(f18223,plain,
( spl7_255
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_255])]) ).
fof(f18226,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))))) )
| ~ spl7_6
| ~ spl7_150
| ~ spl7_255 ),
inference(forward_demodulation,[],[f18224,f8906]) ).
fof(f8906,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ spl7_6
| ~ spl7_150 ),
inference(resolution,[],[f8898,f275]) ).
fof(f275,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f8898,plain,
( ! [X1] : p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))))))
| ~ spl7_150 ),
inference(avatar_component_clause,[],[f8897]) ).
fof(f18224,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_255 ),
inference(avatar_component_clause,[],[f18223]) ).
fof(f18225,plain,
( spl7_255
| ~ spl7_43
| ~ spl7_61 ),
inference(avatar_split_clause,[],[f1376,f1296,f805,f18223]) ).
fof(f1296,plain,
( spl7_61
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_61])]) ).
fof(f1376,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_43
| ~ spl7_61 ),
inference(resolution,[],[f1297,f806]) ).
fof(f1297,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_61 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f18154,plain,
( spl7_254
| ~ spl7_3
| ~ spl7_6
| ~ spl7_147
| ~ spl7_253 ),
inference(avatar_split_clause,[],[f18150,f18147,f8822,f274,f260,f18152]) ).
fof(f18152,plain,
( spl7_254
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_254])]) ).
fof(f8822,plain,
( spl7_147
<=> ! [X1] : p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_147])]) ).
fof(f18147,plain,
( spl7_253
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_253])]) ).
fof(f18150,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))))) )
| ~ spl7_6
| ~ spl7_147
| ~ spl7_253 ),
inference(forward_demodulation,[],[f18148,f8826]) ).
fof(f8826,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ spl7_6
| ~ spl7_147 ),
inference(resolution,[],[f8823,f275]) ).
fof(f8823,plain,
( ! [X1] : p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))))))
| ~ spl7_147 ),
inference(avatar_component_clause,[],[f8822]) ).
fof(f18148,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_253 ),
inference(avatar_component_clause,[],[f18147]) ).
fof(f18149,plain,
( spl7_253
| ~ spl7_43
| ~ spl7_60 ),
inference(avatar_split_clause,[],[f1350,f1292,f805,f18147]) ).
fof(f1292,plain,
( spl7_60
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_60])]) ).
fof(f1350,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_43
| ~ spl7_60 ),
inference(resolution,[],[f1293,f806]) ).
fof(f1293,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_60 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f18076,plain,
( spl7_252
| spl7_2
| ~ spl7_8
| ~ spl7_145
| ~ spl7_251 ),
inference(avatar_split_clause,[],[f18072,f18069,f8758,f282,f255,f18074]) ).
fof(f18074,plain,
( spl7_252
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_252])]) ).
fof(f282,plain,
( spl7_8
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f8758,plain,
( spl7_145
<=> ! [X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_145])]) ).
fof(f18069,plain,
( spl7_251
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_251])]) ).
fof(f18072,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_8
| ~ spl7_145
| ~ spl7_251 ),
inference(forward_demodulation,[],[f18070,f8761]) ).
fof(f8761,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ spl7_8
| ~ spl7_145 ),
inference(resolution,[],[f8759,f283]) ).
fof(f283,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f8759,plain,
( ! [X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))))))
| ~ spl7_145 ),
inference(avatar_component_clause,[],[f8758]) ).
fof(f18070,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_251 ),
inference(avatar_component_clause,[],[f18069]) ).
fof(f18071,plain,
( spl7_251
| ~ spl7_42
| ~ spl7_59 ),
inference(avatar_split_clause,[],[f1325,f1288,f801,f18069]) ).
fof(f1288,plain,
( spl7_59
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_59])]) ).
fof(f1325,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_42
| ~ spl7_59 ),
inference(resolution,[],[f1289,f802]) ).
fof(f1289,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_59 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f17597,plain,
( spl7_250
| ~ spl7_11
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1502,f1408,f303,f17595]) ).
fof(f17595,plain,
( spl7_250
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_250])]) ).
fof(f1502,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) )
| ~ spl7_11
| ~ spl7_64 ),
inference(superposition,[],[f1409,f304]) ).
fof(f17593,plain,
( spl7_249
| ~ spl7_43
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f1254,f1229,f805,f17591]) ).
fof(f17591,plain,
( spl7_249
<=> ! [X0,X1] :
( s(X0,X1) = s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_249])]) ).
fof(f1229,plain,
( spl7_56
<=> ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_56])]) ).
fof(f1254,plain,
( ! [X0,X1] :
( s(X0,X1) = s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1)))))) )
| ~ spl7_43
| ~ spl7_56 ),
inference(resolution,[],[f1230,f806]) ).
fof(f1230,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
| s(X0,X2) = s(X0,X1) )
| ~ spl7_56 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f17589,plain,
( spl7_248
| ~ spl7_27
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f927,f834,f504,f17587]) ).
fof(f17587,plain,
( spl7_248
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_248])]) ).
fof(f927,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4,X2) )
| ~ spl7_27
| ~ spl7_45 ),
inference(superposition,[],[f505,f835]) ).
fof(f17585,plain,
( spl7_247
| ~ spl7_27
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f874,f830,f504,f17583]) ).
fof(f17583,plain,
( spl7_247
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_247])]) ).
fof(f874,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| sP0(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4,X2) )
| ~ spl7_27
| ~ spl7_44 ),
inference(superposition,[],[f505,f831]) ).
fof(f16956,plain,
( spl7_246
| ~ spl7_227 ),
inference(avatar_split_clause,[],[f16701,f15956,f16953]) ).
fof(f16953,plain,
( spl7_246
<=> sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_246])]) ).
fof(f16701,plain,
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0)
| ~ spl7_227 ),
inference(equality_resolution,[],[f15957]) ).
fof(f16810,plain,
( spl7_245
| ~ spl7_20
| ~ spl7_61 ),
inference(avatar_split_clause,[],[f1377,f1296,f418,f16808]) ).
fof(f16808,plain,
( spl7_245
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_245])]) ).
fof(f418,plain,
( spl7_20
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f1377,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_61 ),
inference(resolution,[],[f1297,f419]) ).
fof(f419,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f16806,plain,
( spl7_244
| ~ spl7_20
| ~ spl7_60 ),
inference(avatar_split_clause,[],[f1351,f1292,f418,f16804]) ).
fof(f16804,plain,
( spl7_244
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_244])]) ).
fof(f1351,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_60 ),
inference(resolution,[],[f1293,f419]) ).
fof(f16802,plain,
( spl7_243
| ~ spl7_21
| ~ spl7_59 ),
inference(avatar_split_clause,[],[f1326,f1288,f422,f16800]) ).
fof(f16800,plain,
( spl7_243
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_243])]) ).
fof(f422,plain,
( spl7_21
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_21
| ~ spl7_59 ),
inference(resolution,[],[f1289,f423]) ).
fof(f423,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f16798,plain,
( spl7_242
| ~ spl7_38
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1044,f966,f742,f16796]) ).
fof(f16796,plain,
( spl7_242
<=> ! [X2,X3,X4,X0,X5,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| sP0(app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_242])]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| sP0(app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X4,X3,X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_48 ),
inference(superposition,[],[f743,f967]) ).
fof(f16794,plain,
( spl7_241
| ~ spl7_38
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1043,f966,f742,f16792]) ).
fof(f16792,plain,
( spl7_241
<=> ! [X3,X4,X0,X5,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_241])]) ).
fof(f1043,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| sP0(X3,X4,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X5)
| s(tyop_2Emin_2Ebool,X5) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_48 ),
inference(superposition,[],[f743,f967]) ).
fof(f16790,plain,
( spl7_240
| ~ spl7_19
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f823,f805,f414,f16788]) ).
fof(f16788,plain,
( spl7_240
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_i_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_240])]) ).
fof(f414,plain,
( spl7_19
<=> ! [X0,X1] : s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f823,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_i_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_19
| ~ spl7_43 ),
inference(superposition,[],[f806,f415]) ).
fof(f415,plain,
( ! [X0,X1] : s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1)))
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f16786,plain,
( spl7_239
| ~ spl7_19
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f813,f801,f414,f16784]) ).
fof(f16784,plain,
( spl7_239
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_i_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_239])]) ).
fof(f813,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_i_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_19
| ~ spl7_42 ),
inference(superposition,[],[f802,f415]) ).
fof(f16002,plain,
( spl7_238
| ~ spl7_14
| ~ spl7_183 ),
inference(avatar_split_clause,[],[f11961,f11667,f315,f16000]) ).
fof(f11667,plain,
( spl7_183
<=> ! [X0,X1] :
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,X1)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_183])]) ).
fof(f11961,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_14
| ~ spl7_183 ),
inference(superposition,[],[f11668,f317]) ).
fof(f11668,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,X1) )
| ~ spl7_183 ),
inference(avatar_component_clause,[],[f11667]) ).
fof(f15998,plain,
( spl7_237
| ~ spl7_68 ),
inference(avatar_split_clause,[],[f1702,f1654,f15996]) ).
fof(f15996,plain,
( spl7_237
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(X0,X2) != s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X0,X4),s(X0,X1))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X0,X5),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_237])]) ).
fof(f1654,plain,
( spl7_68
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| s(X0,X5) != s(X0,X6)
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_68])]) ).
fof(f1702,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(X0,X2) != s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X0,X4),s(X0,X1))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X0,X5),s(X0,X2))) )
| ~ spl7_68 ),
inference(equality_resolution,[],[f1655]) ).
fof(f1655,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| s(X0,X5) != s(X0,X6)
| p(s(tyop_2Emin_2Ebool,X2))
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6))) )
| ~ spl7_68 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f15994,plain,
( spl7_236
| ~ spl7_67 ),
inference(avatar_split_clause,[],[f1677,f1650,f15992]) ).
fof(f15992,plain,
( spl7_236
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(X1,X3) != s(X1,X2)
| s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X2),s(X1,X5))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X3),s(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_236])]) ).
fof(f1650,plain,
( spl7_67
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(X0,X4) != s(X0,X3)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_67])]) ).
fof(f1677,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(X1,X3) != s(X1,X2)
| s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X2),s(X1,X5))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X3),s(X1,X4))) )
| ~ spl7_67 ),
inference(equality_resolution,[],[f1651]) ).
fof(f1651,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(X0,X4) != s(X0,X3)
| s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6))) )
| ~ spl7_67 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f15990,plain,
( spl7_235
| ~ spl7_20
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f1255,f1229,f418,f15988]) ).
fof(f15988,plain,
( spl7_235
<=> ! [X0,X3,X2,X1] :
( s(X0,X2) = s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2))),s(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_235])]) ).
fof(f1255,plain,
( ! [X2,X3,X0,X1] :
( s(X0,X2) = s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2))),s(X0,X1))) )
| ~ spl7_20
| ~ spl7_56 ),
inference(resolution,[],[f1230,f419]) ).
fof(f15986,plain,
( spl7_234
| ~ spl7_38
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f935,f834,f742,f15984]) ).
fof(f15984,plain,
( spl7_234
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_234])]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_45 ),
inference(superposition,[],[f743,f835]) ).
fof(f15982,plain,
( spl7_233
| ~ spl7_38
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f934,f834,f742,f15980]) ).
fof(f15980,plain,
( spl7_233
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_233])]) ).
fof(f934,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_45 ),
inference(superposition,[],[f743,f835]) ).
fof(f15978,plain,
( spl7_232
| ~ spl7_38
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f882,f830,f742,f15976]) ).
fof(f15976,plain,
( spl7_232
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_232])]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_44 ),
inference(superposition,[],[f743,f831]) ).
fof(f15974,plain,
( spl7_231
| ~ spl7_38
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f881,f830,f742,f15972]) ).
fof(f15972,plain,
( spl7_231
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_231])]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_38
| ~ spl7_44 ),
inference(superposition,[],[f743,f831]) ).
fof(f15970,plain,
( spl7_230
| ~ spl7_23
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f825,f805,f488,f15968]) ).
fof(f15968,plain,
( spl7_230
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK5(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_230])]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK5(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) )
| ~ spl7_23
| ~ spl7_43 ),
inference(superposition,[],[f806,f489]) ).
fof(f15966,plain,
( spl7_229
| ~ spl7_22
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f824,f805,f484,f15964]) ).
fof(f15964,plain,
( spl7_229
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_229])]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_22
| ~ spl7_43 ),
inference(superposition,[],[f806,f485]) ).
fof(f15962,plain,
( spl7_228
| ~ spl7_23
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f815,f801,f488,f15960]) ).
fof(f15960,plain,
( spl7_228
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK4(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_228])]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,sK4(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) )
| ~ spl7_23
| ~ spl7_42 ),
inference(superposition,[],[f802,f489]) ).
fof(f15958,plain,
( spl7_227
| ~ spl7_14
| ~ spl7_183 ),
inference(avatar_split_clause,[],[f11937,f11667,f315,f15956]) ).
fof(f11937,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0,X0) )
| ~ spl7_14
| ~ spl7_183 ),
inference(superposition,[],[f11668,f317]) ).
fof(f15954,plain,
( spl7_226
| ~ spl7_22
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f814,f801,f484,f15952]) ).
fof(f15952,plain,
( spl7_226
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_226])]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_22
| ~ spl7_42 ),
inference(superposition,[],[f802,f485]) ).
fof(f15747,plain,
( spl7_225
| ~ spl7_42
| ~ spl7_54 ),
inference(avatar_split_clause,[],[f1202,f1067,f801,f15745]) ).
fof(f15745,plain,
( spl7_225
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_225])]) ).
fof(f1067,plain,
( spl7_54
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_54])]) ).
fof(f1202,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_42
| ~ spl7_54 ),
inference(resolution,[],[f1068,f802]) ).
fof(f1068,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_54 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f15743,plain,
( spl7_224
| ~ spl7_42
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f1156,f1059,f801,f15741]) ).
fof(f15741,plain,
( spl7_224
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_224])]) ).
fof(f1059,plain,
( spl7_52
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_52])]) ).
fof(f1156,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_42
| ~ spl7_52 ),
inference(resolution,[],[f1060,f802]) ).
fof(f1060,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_52 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f15739,plain,
( spl7_223
| ~ spl7_43
| ~ spl7_50 ),
inference(avatar_split_clause,[],[f1109,f1051,f805,f15737]) ).
fof(f15737,plain,
( spl7_223
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_223])]) ).
fof(f1051,plain,
( spl7_50
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_50])]) ).
fof(f1109,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_43
| ~ spl7_50 ),
inference(resolution,[],[f1052,f806]) ).
fof(f1052,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_50 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f15318,plain,
( spl7_222
| ~ spl7_19
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1638,f1616,f414,f15316]) ).
fof(f15316,plain,
( spl7_222
<=> ! [X0,X1] :
( s(X0,sK6(X0,X0,X1,combin_i_2E0)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),X1),s(X0,sK6(X0,X0,X1,combin_i_2E0))))
| s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0) = s(tyop_2Emin_2Efun(X0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_222])]) ).
fof(f1638,plain,
( ! [X0,X1] :
( s(X0,sK6(X0,X0,X1,combin_i_2E0)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),X1),s(X0,sK6(X0,X0,X1,combin_i_2E0))))
| s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0) = s(tyop_2Emin_2Efun(X0,X0),X1) )
| ~ spl7_19
| ~ spl7_66 ),
inference(superposition,[],[f1617,f415]) ).
fof(f15314,plain,
( spl7_221
| ~ spl7_19
| ~ spl7_66 ),
inference(avatar_split_clause,[],[f1623,f1616,f414,f15312]) ).
fof(f15312,plain,
( spl7_221
<=> ! [X0,X1] :
( s(X0,sK6(X0,X0,combin_i_2E0,X1)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),X1),s(X0,sK6(X0,X0,combin_i_2E0,X1))))
| s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0) = s(tyop_2Emin_2Efun(X0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_221])]) ).
fof(f1623,plain,
( ! [X0,X1] :
( s(X0,sK6(X0,X0,combin_i_2E0,X1)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),X1),s(X0,sK6(X0,X0,combin_i_2E0,X1))))
| s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0) = s(tyop_2Emin_2Efun(X0,X0),X1) )
| ~ spl7_19
| ~ spl7_66 ),
inference(superposition,[],[f1617,f415]) ).
fof(f15310,plain,
( spl7_220
| ~ spl7_27
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1036,f966,f504,f15308]) ).
fof(f15308,plain,
( spl7_220
<=> ! [X3,X4,X0,X5,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X4,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_220])]) ).
fof(f1036,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X4,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2)),X5,X3) )
| ~ spl7_27
| ~ spl7_48 ),
inference(superposition,[],[f505,f967]) ).
fof(f15306,plain,
( spl7_219
| ~ spl7_27
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1035,f966,f504,f15304]) ).
fof(f15304,plain,
( spl7_219
<=> ! [X5,X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_219])]) ).
fof(f1035,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| sP0(X4,X3,X5,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))) )
| ~ spl7_27
| ~ spl7_48 ),
inference(superposition,[],[f505,f967]) ).
fof(f14743,plain,
( spl7_218
| ~ spl7_6
| ~ spl7_205 ),
inference(avatar_split_clause,[],[f14048,f13444,f274,f14740]) ).
fof(f14740,plain,
( spl7_218
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_218])]) ).
fof(f13444,plain,
( spl7_205
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,sK3)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_205])]) ).
fof(f14048,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,sK3)))))
| ~ spl7_6
| ~ spl7_205 ),
inference(resolution,[],[f13446,f275]) ).
fof(f13446,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,sK3))))))
| ~ spl7_205 ),
inference(avatar_component_clause,[],[f13444]) ).
fof(f14120,plain,
( spl7_217
| ~ spl7_8
| ~ spl7_61 ),
inference(avatar_split_clause,[],[f1379,f1296,f282,f14118]) ).
fof(f14118,plain,
( spl7_217
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_217])]) ).
fof(f1379,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_61 ),
inference(resolution,[],[f1297,f283]) ).
fof(f14116,plain,
( spl7_216
| ~ spl7_8
| ~ spl7_60 ),
inference(avatar_split_clause,[],[f1353,f1292,f282,f14114]) ).
fof(f14114,plain,
( spl7_216
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_216])]) ).
fof(f1353,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_60 ),
inference(resolution,[],[f1293,f283]) ).
fof(f14112,plain,
( spl7_215
| ~ spl7_6
| ~ spl7_59 ),
inference(avatar_split_clause,[],[f1327,f1288,f274,f14110]) ).
fof(f14110,plain,
( spl7_215
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_215])]) ).
fof(f1327,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_59 ),
inference(resolution,[],[f1289,f275]) ).
fof(f14108,plain,
( spl7_214
| ~ spl7_21
| ~ spl7_54 ),
inference(avatar_split_clause,[],[f1203,f1067,f422,f14106]) ).
fof(f14106,plain,
( spl7_214
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_214])]) ).
fof(f1203,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_21
| ~ spl7_54 ),
inference(resolution,[],[f1068,f423]) ).
fof(f14045,plain,
( spl7_213
| ~ spl7_21
| ~ spl7_53 ),
inference(avatar_split_clause,[],[f1180,f1063,f422,f14043]) ).
fof(f14043,plain,
( spl7_213
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_213])]) ).
fof(f1180,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_21
| ~ spl7_53 ),
inference(resolution,[],[f1064,f423]) ).
fof(f14041,plain,
( spl7_212
| ~ spl7_21
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f1157,f1059,f422,f14039]) ).
fof(f14039,plain,
( spl7_212
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_212])]) ).
fof(f1157,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_21
| ~ spl7_52 ),
inference(resolution,[],[f1060,f423]) ).
fof(f14037,plain,
( spl7_211
| ~ spl7_21
| ~ spl7_51 ),
inference(avatar_split_clause,[],[f1134,f1055,f422,f14035]) ).
fof(f14035,plain,
( spl7_211
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_211])]) ).
fof(f1134,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_21
| ~ spl7_51 ),
inference(resolution,[],[f1056,f423]) ).
fof(f14033,plain,
( spl7_210
| ~ spl7_20
| ~ spl7_50 ),
inference(avatar_split_clause,[],[f1110,f1051,f418,f14031]) ).
fof(f14031,plain,
( spl7_210
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_210])]) ).
fof(f1110,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_20
| ~ spl7_50 ),
inference(resolution,[],[f1052,f419]) ).
fof(f14029,plain,
( spl7_209
| ~ spl7_20
| ~ spl7_49 ),
inference(avatar_split_clause,[],[f1072,f1047,f418,f14027]) ).
fof(f14027,plain,
( spl7_209
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_209])]) ).
fof(f1072,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_49 ),
inference(resolution,[],[f1048,f419]) ).
fof(f14025,plain,
( spl7_208
| ~ spl7_27
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f926,f834,f504,f14023]) ).
fof(f14023,plain,
( spl7_208
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_208])]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) )
| ~ spl7_27
| ~ spl7_45 ),
inference(superposition,[],[f505,f835]) ).
fof(f14021,plain,
( spl7_207
| ~ spl7_27
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f873,f830,f504,f14019]) ).
fof(f14019,plain,
( spl7_207
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_207])]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) )
| ~ spl7_27
| ~ spl7_44 ),
inference(superposition,[],[f505,f831]) ).
fof(f13451,plain,
( spl7_206
| ~ spl7_8
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f1257,f1229,f282,f13449]) ).
fof(f13449,plain,
( spl7_206
<=> ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2))),s(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_206])]) ).
fof(f1257,plain,
( ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2))),s(X0,X1))) )
| ~ spl7_8
| ~ spl7_56 ),
inference(resolution,[],[f1230,f283]) ).
fof(f13447,plain,
( spl7_205
| ~ spl7_3
| ~ spl7_14
| ~ spl7_195 ),
inference(avatar_split_clause,[],[f12636,f12114,f315,f260,f13444]) ).
fof(f12114,plain,
( spl7_195
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_195])]) ).
fof(f12636,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,sK3))))))
| ~ spl7_14
| ~ spl7_195 ),
inference(superposition,[],[f12115,f317]) ).
fof(f12115,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) )
| ~ spl7_195 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f13442,plain,
( spl7_204
| ~ spl7_11
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f989,f966,f303,f13440]) ).
fof(f13440,plain,
( spl7_204
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_204])]) ).
fof(f989,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))) )
| ~ spl7_11
| ~ spl7_48 ),
inference(superposition,[],[f967,f304]) ).
fof(f13004,plain,
( spl7_203
| ~ spl7_11
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f897,f834,f303,f13002]) ).
fof(f13002,plain,
( spl7_203
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_203])]) ).
fof(f897,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) )
| ~ spl7_11
| ~ spl7_45 ),
inference(superposition,[],[f835,f304]) ).
fof(f13000,plain,
( spl7_202
| ~ spl7_11
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f844,f830,f303,f12998]) ).
fof(f12998,plain,
( spl7_202
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_202])]) ).
fof(f844,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) )
| ~ spl7_11
| ~ spl7_44 ),
inference(superposition,[],[f831,f304]) ).
fof(f12702,plain,
( spl7_201
| ~ spl7_11
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f826,f805,f303,f12700]) ).
fof(f12700,plain,
( spl7_201
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_201])]) ).
fof(f826,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_11
| ~ spl7_43 ),
inference(superposition,[],[f806,f304]) ).
fof(f12693,plain,
( spl7_200
| ~ spl7_21
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f821,f805,f422,f12691]) ).
fof(f12691,plain,
( spl7_200
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_200])]) ).
fof(f821,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_21
| ~ spl7_43 ),
inference(resolution,[],[f806,f423]) ).
fof(f12689,plain,
( spl7_199
| ~ spl7_11
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f816,f801,f303,f12687]) ).
fof(f12687,plain,
( spl7_199
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_199])]) ).
fof(f816,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_11
| ~ spl7_42 ),
inference(superposition,[],[f802,f304]) ).
fof(f12685,plain,
( spl7_198
| ~ spl7_20
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f810,f801,f418,f12683]) ).
fof(f12683,plain,
( spl7_198
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_198])]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1)))) )
| ~ spl7_20
| ~ spl7_42 ),
inference(resolution,[],[f802,f419]) ).
fof(f12200,plain,
( spl7_197
| ~ spl7_183 ),
inference(avatar_split_clause,[],[f11972,f11667,f12198]) ).
fof(f12198,plain,
( spl7_197
<=> ! [X0] : sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_197])]) ).
fof(f11972,plain,
( ! [X0] : sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,X0)
| ~ spl7_183 ),
inference(equality_resolution,[],[f11668]) ).
fof(f12120,plain,
( spl7_196
| ~ spl7_39
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1504,f1408,f759,f12118]) ).
fof(f12118,plain,
( spl7_196
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_196])]) ).
fof(f1504,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) )
| ~ spl7_39
| ~ spl7_64 ),
inference(superposition,[],[f760,f1409]) ).
fof(f12116,plain,
( spl7_195
| ~ spl7_40
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f1503,f1408,f763,f12114]) ).
fof(f1503,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0)))))) )
| ~ spl7_40
| ~ spl7_64 ),
inference(superposition,[],[f764,f1409]) ).
fof(f12112,plain,
( spl7_194
| ~ spl7_6
| ~ spl7_54 ),
inference(avatar_split_clause,[],[f1204,f1067,f274,f12110]) ).
fof(f12110,plain,
( spl7_194
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_194])]) ).
fof(f1204,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_54 ),
inference(resolution,[],[f1068,f275]) ).
fof(f12108,plain,
( spl7_193
| ~ spl7_6
| ~ spl7_53 ),
inference(avatar_split_clause,[],[f1181,f1063,f274,f12106]) ).
fof(f12106,plain,
( spl7_193
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_193])]) ).
fof(f1181,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_6
| ~ spl7_53 ),
inference(resolution,[],[f1064,f275]) ).
fof(f12104,plain,
( spl7_192
| ~ spl7_6
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f1158,f1059,f274,f12102]) ).
fof(f12102,plain,
( spl7_192
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_192])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_52 ),
inference(resolution,[],[f1060,f275]) ).
fof(f12100,plain,
( spl7_191
| ~ spl7_6
| ~ spl7_51 ),
inference(avatar_split_clause,[],[f1135,f1055,f274,f12098]) ).
fof(f12098,plain,
( spl7_191
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_191])]) ).
fof(f1135,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_6
| ~ spl7_51 ),
inference(resolution,[],[f1056,f275]) ).
fof(f12096,plain,
( spl7_190
| ~ spl7_8
| ~ spl7_50 ),
inference(avatar_split_clause,[],[f1112,f1051,f282,f12094]) ).
fof(f12094,plain,
( spl7_190
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_190])]) ).
fof(f1112,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_8
| ~ spl7_50 ),
inference(resolution,[],[f1052,f283]) ).
fof(f12092,plain,
( spl7_189
| ~ spl7_8
| ~ spl7_49 ),
inference(avatar_split_clause,[],[f1074,f1047,f282,f12090]) ).
fof(f12090,plain,
( spl7_189
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_189])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_49 ),
inference(resolution,[],[f1048,f283]) ).
fof(f11689,plain,
( spl7_188
| ~ spl7_20
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f786,f763,f418,f11687]) ).
fof(f11687,plain,
( spl7_188
<=> ! [X0,X3,X2,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_188])]) ).
fof(f786,plain,
( ! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,X3) )
| ~ spl7_20
| ~ spl7_40 ),
inference(resolution,[],[f764,f419]) ).
fof(f11685,plain,
( spl7_187
| ~ spl7_21
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f767,f759,f422,f11683]) ).
fof(f11683,plain,
( spl7_187
<=> ! [X0,X3,X2,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_187])]) ).
fof(f767,plain,
( ! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_21
| ~ spl7_39 ),
inference(resolution,[],[f760,f423]) ).
fof(f11681,plain,
( spl7_186
| ~ spl7_23
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f756,f742,f488,f11679]) ).
fof(f11679,plain,
( spl7_186
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| sP0(c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_186])]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| sP0(c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_23
| ~ spl7_38 ),
inference(superposition,[],[f743,f489]) ).
fof(f11677,plain,
( spl7_185
| ~ spl7_22
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f755,f742,f484,f11675]) ).
fof(f11675,plain,
( spl7_185
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| sP0(c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_185])]) ).
fof(f755,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| sP0(c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X3,X2,X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_22
| ~ spl7_38 ),
inference(superposition,[],[f743,f485]) ).
fof(f11673,plain,
( spl7_184
| ~ spl7_23
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f750,f742,f488,f11671]) ).
fof(f11671,plain,
( spl7_184
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_184])]) ).
fof(f750,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_23
| ~ spl7_38 ),
inference(superposition,[],[f743,f489]) ).
fof(f11669,plain,
( spl7_183
| ~ spl7_47 ),
inference(avatar_split_clause,[],[f11392,f948,f11667]) ).
fof(f948,plain,
( spl7_47
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_47])]) ).
fof(f11392,plain,
( ! [X0,X1] :
( sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0,X1)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_47 ),
inference(equality_resolution,[],[f949]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_47 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f11665,plain,
( spl7_182
| ~ spl7_22
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f749,f742,f484,f11663]) ).
fof(f11663,plain,
( spl7_182
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_182])]) ).
fof(f749,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| sP0(X2,X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X4) )
| ~ spl7_22
| ~ spl7_38 ),
inference(superposition,[],[f743,f485]) ).
fof(f11513,plain,
( spl7_84
| spl7_181
| ~ spl7_39
| ~ spl7_61 ),
inference(avatar_split_clause,[],[f1375,f1296,f759,f11511,f2467]) ).
fof(f2467,plain,
( spl7_84
<=> ! [X0] : p(s(tyop_2Emin_2Ebool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_84])]) ).
fof(f11511,plain,
( spl7_181
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_181])]) ).
fof(f1375,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_39
| ~ spl7_61 ),
inference(resolution,[],[f1297,f760]) ).
fof(f11459,plain,
( spl7_84
| spl7_180
| ~ spl7_39
| ~ spl7_60 ),
inference(avatar_split_clause,[],[f1349,f1292,f759,f11457,f2467]) ).
fof(f11457,plain,
( spl7_180
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_180])]) ).
fof(f1349,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_39
| ~ spl7_60 ),
inference(resolution,[],[f1293,f760]) ).
fof(f11403,plain,
( spl7_179
| spl7_81
| ~ spl7_40
| ~ spl7_59 ),
inference(avatar_split_clause,[],[f1324,f1288,f763,f2451,f11401]) ).
fof(f11401,plain,
( spl7_179
<=> ! [X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_179])]) ).
fof(f1324,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_40
| ~ spl7_59 ),
inference(resolution,[],[f1289,f764]) ).
fof(f11399,plain,
( spl7_178
| ~ spl7_19
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f754,f742,f414,f11397]) ).
fof(f11397,plain,
( spl7_178
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_178])]) ).
fof(f754,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) )
| ~ spl7_19
| ~ spl7_38 ),
inference(superposition,[],[f743,f415]) ).
fof(f11364,plain,
( spl7_177
| ~ spl7_19
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f748,f742,f414,f11362]) ).
fof(f11362,plain,
( spl7_177
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_177])]) ).
fof(f748,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) )
| ~ spl7_19
| ~ spl7_38 ),
inference(superposition,[],[f743,f415]) ).
fof(f11060,plain,
( spl7_176
| ~ spl7_39
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f1253,f1229,f759,f11058]) ).
fof(f11058,plain,
( spl7_176
<=> ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_176])]) ).
fof(f1253,plain,
( ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X2)))))) )
| ~ spl7_39
| ~ spl7_56 ),
inference(resolution,[],[f1230,f760]) ).
fof(f11056,plain,
( spl7_175
| ~ spl7_6
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f822,f805,f274,f11054]) ).
fof(f11054,plain,
( spl7_175
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_175])]) ).
fof(f822,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))) )
| ~ spl7_6
| ~ spl7_43 ),
inference(resolution,[],[f806,f275]) ).
fof(f11048,plain,
( spl7_174
| ~ spl7_8
| ~ spl7_42 ),
inference(avatar_split_clause,[],[f812,f801,f282,f11046]) ).
fof(f11046,plain,
( spl7_174
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_174])]) ).
fof(f812,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1)))) )
| ~ spl7_8
| ~ spl7_42 ),
inference(resolution,[],[f802,f283]) ).
fof(f11044,plain,
( spl7_173
| ~ spl7_11
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f752,f742,f303,f11042]) ).
fof(f11042,plain,
( spl7_173
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X0,X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_173])]) ).
fof(f752,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X0,X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_38 ),
inference(superposition,[],[f743,f304]) ).
fof(f11040,plain,
( spl7_172
| ~ spl7_11
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f751,f742,f303,f11038]) ).
fof(f11038,plain,
( spl7_172
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(c_2Ebool_2ET_2E0,X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_172])]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(c_2Ebool_2ET_2E0,X2,X1,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_38 ),
inference(superposition,[],[f743,f304]) ).
fof(f11036,plain,
( spl7_171
| ~ spl7_11
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f746,f742,f303,f11034]) ).
fof(f11034,plain,
( spl7_171
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,X0,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_171])]) ).
fof(f746,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,X0,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_38 ),
inference(superposition,[],[f743,f304]) ).
fof(f11032,plain,
( spl7_170
| ~ spl7_11
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f745,f742,f303,f11030]) ).
fof(f11030,plain,
( spl7_170
<=> ! [X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,c_2Ebool_2ET_2E0,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_170])]) ).
fof(f745,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(X1,X2,c_2Ebool_2ET_2E0,X3)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_38 ),
inference(superposition,[],[f743,f304]) ).
fof(f10468,plain,
( spl7_169
| ~ spl7_20
| ~ spl7_37 ),
inference(avatar_split_clause,[],[f725,f685,f418,f10466]) ).
fof(f10466,plain,
( spl7_169
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_169])]) ).
fof(f685,plain,
( spl7_37
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_37 ),
inference(resolution,[],[f686,f419]) ).
fof(f686,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_37 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f10464,plain,
( spl7_168
| ~ spl7_20
| ~ spl7_36 ),
inference(avatar_split_clause,[],[f707,f681,f418,f10462]) ).
fof(f10462,plain,
( spl7_168
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_168])]) ).
fof(f681,plain,
( spl7_36
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).
fof(f707,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_36 ),
inference(resolution,[],[f682,f419]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_36 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f10460,plain,
( spl7_167
| ~ spl7_21
| ~ spl7_35 ),
inference(avatar_split_clause,[],[f690,f671,f422,f10458]) ).
fof(f10458,plain,
( spl7_167
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_167])]) ).
fof(f671,plain,
( spl7_35
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_21
| ~ spl7_35 ),
inference(resolution,[],[f672,f423]) ).
fof(f672,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_35 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f10456,plain,
( spl7_166
| ~ spl7_23
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f611,f504,f488,f10454]) ).
fof(f10454,plain,
( spl7_166
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_166])]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4,X2) )
| ~ spl7_23
| ~ spl7_27 ),
inference(superposition,[],[f505,f489]) ).
fof(f10452,plain,
( spl7_165
| ~ spl7_22
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f610,f504,f484,f10450]) ).
fof(f10450,plain,
( spl7_165
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0))
| sP0(X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_165])]) ).
fof(f610,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0))
| sP0(X3,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)),X4,X2) )
| ~ spl7_22
| ~ spl7_27 ),
inference(superposition,[],[f505,f485]) ).
fof(f10448,plain,
( spl7_164
| ~ spl7_23
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f605,f504,f488,f10446]) ).
fof(f10446,plain,
( spl7_164
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_164])]) ).
fof(f605,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_23
| ~ spl7_27 ),
inference(superposition,[],[f505,f489]) ).
fof(f10444,plain,
( spl7_163
| ~ spl7_22
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f604,f504,f484,f10442]) ).
fof(f10442,plain,
( spl7_163
<=> ! [X4,X0,X3,X2,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_163])]) ).
fof(f604,plain,
( ! [X2,X3,X0,X1,X4] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| sP0(X3,X2,X4,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_22
| ~ spl7_27 ),
inference(superposition,[],[f505,f485]) ).
fof(f10416,plain,
( spl7_162
| ~ spl7_11
| ~ spl7_119 ),
inference(avatar_split_clause,[],[f8748,f6483,f303,f10414]) ).
fof(f10414,plain,
( spl7_162
<=> ! [X0] :
( sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_162])]) ).
fof(f6483,plain,
( spl7_119
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_119])]) ).
fof(f8748,plain,
( ! [X0] :
( sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_119 ),
inference(trivial_inequality_removal,[],[f8730]) ).
fof(f8730,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_119 ),
inference(superposition,[],[f6484,f304]) ).
fof(f6484,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_119 ),
inference(avatar_component_clause,[],[f6483]) ).
fof(f10111,plain,
( spl7_161
| ~ spl7_43
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f901,f834,f805,f10109]) ).
fof(f10109,plain,
( spl7_161
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK5(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_161])]) ).
fof(f901,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK5(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) )
| ~ spl7_43
| ~ spl7_45 ),
inference(superposition,[],[f806,f835]) ).
fof(f10107,plain,
( spl7_160
| ~ spl7_42
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f900,f834,f801,f10105]) ).
fof(f10105,plain,
( spl7_160
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK4(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_160])]) ).
fof(f900,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK4(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) )
| ~ spl7_42
| ~ spl7_45 ),
inference(superposition,[],[f802,f835]) ).
fof(f10103,plain,
( spl7_159
| ~ spl7_11
| ~ spl7_112 ),
inference(avatar_split_clause,[],[f6731,f6324,f303,f10101]) ).
fof(f10101,plain,
( spl7_159
<=> ! [X0] :
( sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_159])]) ).
fof(f6324,plain,
( spl7_112
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_112])]) ).
fof(f6731,plain,
( ! [X0] :
( sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_112 ),
inference(trivial_inequality_removal,[],[f6714]) ).
fof(f6714,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_112 ),
inference(superposition,[],[f6325,f304]) ).
fof(f6325,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0) )
| ~ spl7_112 ),
inference(avatar_component_clause,[],[f6324]) ).
fof(f10099,plain,
( spl7_158
| ~ spl7_43
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f848,f830,f805,f10097]) ).
fof(f10097,plain,
( spl7_158
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK5(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_158])]) ).
fof(f848,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK5(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) )
| ~ spl7_43
| ~ spl7_44 ),
inference(superposition,[],[f806,f831]) ).
fof(f10095,plain,
( spl7_157
| ~ spl7_42
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f847,f830,f801,f10093]) ).
fof(f10093,plain,
( spl7_157
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK4(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_157])]) ).
fof(f847,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),sK4(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) )
| ~ spl7_42
| ~ spl7_44 ),
inference(superposition,[],[f802,f831]) ).
fof(f10091,plain,
( spl7_156
| ~ spl7_8
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f788,f763,f282,f10089]) ).
fof(f10089,plain,
( spl7_156
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_156])]) ).
fof(f788,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) )
| ~ spl7_8
| ~ spl7_40 ),
inference(resolution,[],[f764,f283]) ).
fof(f10087,plain,
( spl7_155
| ~ spl7_6
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f768,f759,f274,f10085]) ).
fof(f10085,plain,
( spl7_155
<=> ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_155])]) ).
fof(f768,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))) )
| ~ spl7_6
| ~ spl7_39 ),
inference(resolution,[],[f760,f275]) ).
fof(f10083,plain,
( spl7_154
| ~ spl7_20
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f641,f614,f418,f10081]) ).
fof(f10081,plain,
( spl7_154
<=> ! [X0,X3,X2,X1] :
( s(X0,X2) = s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X2),s(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_154])]) ).
fof(f614,plain,
( spl7_28
<=> ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f641,plain,
( ! [X2,X3,X0,X1] :
( s(X0,X2) = s(X0,X1)
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X2),s(X0,X1))) )
| ~ spl7_20
| ~ spl7_28 ),
inference(resolution,[],[f615,f419]) ).
fof(f615,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
| s(X0,X2) = s(X0,X1) )
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f10079,plain,
( spl7_153
| ~ spl7_19
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f609,f504,f414,f10077]) ).
fof(f10077,plain,
( spl7_153
<=> ! [X2,X0,X1,X3] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X0))
| sP0(X2,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_153])]) ).
fof(f609,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X0))
| sP0(X2,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0)),X3,X1) )
| ~ spl7_19
| ~ spl7_27 ),
inference(superposition,[],[f505,f415]) ).
fof(f10075,plain,
( spl7_152
| ~ spl7_19
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f603,f504,f414,f10073]) ).
fof(f10073,plain,
( spl7_152
<=> ! [X2,X0,X1,X3] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X2,X1,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_152])]) ).
fof(f603,plain,
( ! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| sP0(X2,X1,X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_19
| ~ spl7_27 ),
inference(superposition,[],[f505,f415]) ).
fof(f8904,plain,
( spl7_151
| ~ spl7_119 ),
inference(avatar_split_clause,[],[f8745,f6483,f8901]) ).
fof(f8901,plain,
( spl7_151
<=> sP0(c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_151])]) ).
fof(f8745,plain,
( sP0(c_2Ebool_2ET_2E0,c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_119 ),
inference(equality_resolution,[],[f6484]) ).
fof(f8899,plain,
( spl7_150
| spl7_81
| ~ spl7_40
| ~ spl7_54 ),
inference(avatar_split_clause,[],[f1201,f1067,f763,f2451,f8897]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_40
| ~ spl7_54 ),
inference(resolution,[],[f1068,f764]) ).
fof(f8895,plain,
( spl7_149
| ~ spl7_42
| ~ spl7_53 ),
inference(avatar_split_clause,[],[f1179,f1063,f801,f8893]) ).
fof(f8893,plain,
( spl7_149
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_149])]) ).
fof(f1179,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_42
| ~ spl7_53 ),
inference(resolution,[],[f1064,f802]) ).
fof(f8891,plain,
( spl7_148
| ~ spl7_40
| ~ spl7_53 ),
inference(avatar_split_clause,[],[f1178,f1063,f763,f8889]) ).
fof(f8889,plain,
( spl7_148
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_148])]) ).
fof(f1178,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_40
| ~ spl7_53 ),
inference(resolution,[],[f1064,f764]) ).
fof(f8824,plain,
( spl7_147
| spl7_81
| ~ spl7_40
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f1155,f1059,f763,f2451,f8822]) ).
fof(f1155,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_40
| ~ spl7_52 ),
inference(resolution,[],[f1060,f764]) ).
fof(f8820,plain,
( spl7_146
| ~ spl7_42
| ~ spl7_51 ),
inference(avatar_split_clause,[],[f1133,f1055,f801,f8818]) ).
fof(f8818,plain,
( spl7_146
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_146])]) ).
fof(f1133,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_42
| ~ spl7_51 ),
inference(resolution,[],[f1056,f802]) ).
fof(f8760,plain,
( spl7_145
| spl7_84
| ~ spl7_39
| ~ spl7_50 ),
inference(avatar_split_clause,[],[f1108,f1051,f759,f2467,f8758]) ).
fof(f1108,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_39
| ~ spl7_50 ),
inference(resolution,[],[f1052,f760]) ).
fof(f8756,plain,
( spl7_144
| ~ spl7_43
| ~ spl7_49 ),
inference(avatar_split_clause,[],[f1071,f1047,f805,f8754]) ).
fof(f8754,plain,
( spl7_144
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_144])]) ).
fof(f1071,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0)))))) )
| ~ spl7_43
| ~ spl7_49 ),
inference(resolution,[],[f1048,f806]) ).
fof(f8752,plain,
( spl7_143
| ~ spl7_43
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1010,f966,f805,f8750]) ).
fof(f8750,plain,
( spl7_143
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_143])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_43
| ~ spl7_48 ),
inference(superposition,[],[f806,f967]) ).
fof(f8720,plain,
( spl7_142
| ~ spl7_42
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1009,f966,f801,f8718]) ).
fof(f8718,plain,
( spl7_142
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_142])]) ).
fof(f1009,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_42
| ~ spl7_48 ),
inference(superposition,[],[f802,f967]) ).
fof(f8716,plain,
( spl7_141
| ~ spl7_39
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1008,f966,f759,f8714]) ).
fof(f8714,plain,
( spl7_141
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_141])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_39
| ~ spl7_48 ),
inference(superposition,[],[f760,f967]) ).
fof(f8712,plain,
( spl7_140
| ~ spl7_40
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f1007,f966,f763,f8710]) ).
fof(f8710,plain,
( spl7_140
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_140])]) ).
fof(f1007,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),combin_k_2E0),s(tyop_2Emin_2Ebool,X1)))))) )
| ~ spl7_40
| ~ spl7_48 ),
inference(superposition,[],[f764,f967]) ).
fof(f8708,plain,
( spl7_139
| ~ spl7_20
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f590,f500,f418,f8706]) ).
fof(f8706,plain,
( spl7_139
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_139])]) ).
fof(f500,plain,
( spl7_26
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f590,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_20
| ~ spl7_26 ),
inference(resolution,[],[f501,f419]) ).
fof(f501,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f8704,plain,
( spl7_138
| ~ spl7_21
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f580,f492,f422,f8702]) ).
fof(f8702,plain,
( spl7_138
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_138])]) ).
fof(f492,plain,
( spl7_24
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f580,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_21
| ~ spl7_24 ),
inference(resolution,[],[f493,f423]) ).
fof(f493,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f8700,plain,
( spl7_137
| ~ spl7_11
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f554,f488,f303,f8698]) ).
fof(f8698,plain,
( spl7_137
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_137])]) ).
fof(f554,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_11
| ~ spl7_23 ),
inference(superposition,[],[f489,f304]) ).
fof(f8696,plain,
( spl7_136
| ~ spl7_11
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f518,f484,f303,f8694]) ).
fof(f8694,plain,
( spl7_136
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_136])]) ).
fof(f518,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_11
| ~ spl7_22 ),
inference(superposition,[],[f485,f304]) ).
fof(f8692,plain,
( spl7_135
| ~ spl7_11
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f507,f484,f303,f8690]) ).
fof(f8690,plain,
( spl7_135
<=> ! [X0,X3,X2,X1] :
( s(X1,X2) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X2),s(X1,X3)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_135])]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1] :
( s(X1,X2) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0),s(X1,X2),s(X1,X3)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_22 ),
inference(superposition,[],[f485,f304]) ).
fof(f8395,plain,
( spl7_134
| ~ spl7_55 ),
inference(avatar_split_clause,[],[f1252,f1225,f8393]) ).
fof(f8393,plain,
( spl7_134
<=> ! [X0,X1] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_134])]) ).
fof(f1225,plain,
( spl7_55
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
| s(X0,X2) != s(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_55])]) ).
fof(f1252,plain,
( ! [X0,X1] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X1))))
| ~ spl7_55 ),
inference(equality_resolution,[],[f1226]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( s(X0,X2) != s(X0,X1)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2)))) )
| ~ spl7_55 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f8391,plain,
( spl7_133
| ~ spl7_20
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f468,f422,f418,f8389]) ).
fof(f8389,plain,
( spl7_133
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_133])]) ).
fof(f468,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_20
| ~ spl7_21 ),
inference(resolution,[],[f423,f419]) ).
fof(f8387,plain,
( spl7_132
| ~ spl7_11
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f429,f414,f303,f8385]) ).
fof(f8385,plain,
( spl7_132
<=> ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_132])]) ).
fof(f429,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_11
| ~ spl7_19 ),
inference(superposition,[],[f415,f304]) ).
fof(f8016,plain,
( spl7_131
| ~ spl7_112 ),
inference(avatar_split_clause,[],[f6728,f6324,f8013]) ).
fof(f8013,plain,
( spl7_131
<=> sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_131])]) ).
fof(f6728,plain,
( sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Ebool_2ET_2E0)
| ~ spl7_112 ),
inference(equality_resolution,[],[f6325]) ).
fof(f6755,plain,
( spl7_130
| ~ spl7_8
| ~ spl7_37 ),
inference(avatar_split_clause,[],[f727,f685,f282,f6753]) ).
fof(f6753,plain,
( spl7_130
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_130])]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_37 ),
inference(resolution,[],[f686,f283]) ).
fof(f6751,plain,
( spl7_129
| ~ spl7_8
| ~ spl7_36 ),
inference(avatar_split_clause,[],[f709,f681,f282,f6749]) ).
fof(f6749,plain,
( spl7_129
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_129])]) ).
fof(f709,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_36 ),
inference(resolution,[],[f682,f283]) ).
fof(f6747,plain,
( spl7_128
| ~ spl7_6
| ~ spl7_35 ),
inference(avatar_split_clause,[],[f691,f671,f274,f6745]) ).
fof(f6745,plain,
( spl7_128
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_128])]) ).
fof(f691,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_35 ),
inference(resolution,[],[f672,f275]) ).
fof(f6743,plain,
( spl7_127
| ~ spl7_17
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f476,f422,f328,f6741]) ).
fof(f6741,plain,
( spl7_127
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_127])]) ).
fof(f328,plain,
( spl7_17
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f476,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_17
| ~ spl7_21 ),
inference(resolution,[],[f423,f329]) ).
fof(f329,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f6739,plain,
( spl7_126
| ~ spl7_18
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f475,f422,f332,f6737]) ).
fof(f6737,plain,
( spl7_126
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_126])]) ).
fof(f332,plain,
( spl7_18
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_18
| ~ spl7_21 ),
inference(resolution,[],[f423,f333]) ).
fof(f333,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f6735,plain,
( spl7_125
| ~ spl7_15
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f473,f422,f320,f6733]) ).
fof(f6733,plain,
( spl7_125
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_125])]) ).
fof(f320,plain,
( spl7_15
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_15
| ~ spl7_21 ),
inference(resolution,[],[f423,f321]) ).
fof(f321,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f6712,plain,
( spl7_124
| ~ spl7_16
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f472,f422,f324,f6710]) ).
fof(f6710,plain,
( spl7_124
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_124])]) ).
fof(f324,plain,
( spl7_16
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ~ spl7_16
| ~ spl7_21 ),
inference(resolution,[],[f423,f325]) ).
fof(f325,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f6708,plain,
( spl7_123
| ~ spl7_12
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f452,f418,f307,f6706]) ).
fof(f6706,plain,
( spl7_123
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_123])]) ).
fof(f307,plain,
( spl7_12
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f452,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_12
| ~ spl7_20 ),
inference(resolution,[],[f419,f308]) ).
fof(f308,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f6704,plain,
( spl7_122
| ~ spl7_13
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f451,f418,f311,f6702]) ).
fof(f6702,plain,
( spl7_122
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_122])]) ).
fof(f311,plain,
( spl7_13
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_13
| ~ spl7_20 ),
inference(resolution,[],[f419,f312]) ).
fof(f312,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f6700,plain,
( spl7_121
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f335,f303,f6698]) ).
fof(f6698,plain,
( spl7_121
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_121])]) ).
fof(f335,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11 ),
inference(superposition,[],[f304,f304]) ).
fof(f6489,plain,
( spl7_120
| ~ spl7_39
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f899,f834,f759,f6487]) ).
fof(f6487,plain,
( spl7_120
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_120])]) ).
fof(f899,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) )
| ~ spl7_39
| ~ spl7_45 ),
inference(superposition,[],[f760,f835]) ).
fof(f6485,plain,
( spl7_119
| ~ spl7_14
| ~ spl7_58 ),
inference(avatar_split_clause,[],[f1424,f1284,f315,f6483]) ).
fof(f1284,plain,
( spl7_58
<=> ! [X0,X1] :
( sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_58])]) ).
fof(f1424,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_14
| ~ spl7_58 ),
inference(superposition,[],[f1285,f317]) ).
fof(f1285,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1) )
| ~ spl7_58 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f6481,plain,
( spl7_118
| ~ spl7_40
| ~ spl7_45 ),
inference(avatar_split_clause,[],[f898,f834,f763,f6479]) ).
fof(f6479,plain,
( spl7_118
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_118])]) ).
fof(f898,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0)))) )
| ~ spl7_40
| ~ spl7_45 ),
inference(superposition,[],[f764,f835]) ).
fof(f6477,plain,
( spl7_117
| ~ spl7_39
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f846,f830,f759,f6475]) ).
fof(f6475,plain,
( spl7_117
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_117])]) ).
fof(f846,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) )
| ~ spl7_39
| ~ spl7_44 ),
inference(superposition,[],[f760,f831]) ).
fof(f6473,plain,
( spl7_116
| ~ spl7_40
| ~ spl7_44 ),
inference(avatar_split_clause,[],[f845,f830,f763,f6471]) ).
fof(f6471,plain,
( spl7_116
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_116])]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0)))) )
| ~ spl7_40
| ~ spl7_44 ),
inference(superposition,[],[f764,f831]) ).
fof(f6469,plain,
( spl7_115
| ~ spl7_8
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f643,f614,f282,f6467]) ).
fof(f6467,plain,
( spl7_115
<=> ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X2),s(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_115])]) ).
fof(f643,plain,
( ! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X2),s(X0,X1))) )
| ~ spl7_8
| ~ spl7_28 ),
inference(resolution,[],[f615,f283]) ).
fof(f6388,plain,
( spl7_114
| ~ spl7_8
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f592,f500,f282,f6386]) ).
fof(f6386,plain,
( spl7_114
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_114])]) ).
fof(f592,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_8
| ~ spl7_26 ),
inference(resolution,[],[f501,f283]) ).
fof(f6384,plain,
( spl7_113
| ~ spl7_6
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f581,f492,f274,f6382]) ).
fof(f6382,plain,
( spl7_113
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_113])]) ).
fof(f581,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_24 ),
inference(resolution,[],[f493,f275]) ).
fof(f6326,plain,
( spl7_112
| ~ spl7_14
| ~ spl7_58 ),
inference(avatar_split_clause,[],[f1415,f1284,f315,f6324]) ).
fof(f1415,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Ebool_2ET_2E0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0) )
| ~ spl7_14
| ~ spl7_58 ),
inference(superposition,[],[f1285,f317]) ).
fof(f6180,plain,
( spl7_111
| ~ spl7_39
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f785,f763,f759,f6178]) ).
fof(f6178,plain,
( spl7_111
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_111])]) ).
fof(f785,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ spl7_39
| ~ spl7_40 ),
inference(resolution,[],[f764,f760]) ).
fof(f6176,plain,
( spl7_110
| ~ spl7_10
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f474,f422,f290,f6174]) ).
fof(f6174,plain,
( spl7_110
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_110])]) ).
fof(f290,plain,
( spl7_10
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f474,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) )
| ~ spl7_10
| ~ spl7_21 ),
inference(resolution,[],[f423,f291]) ).
fof(f291,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f6172,plain,
( spl7_109
| ~ spl7_8
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f470,f422,f282,f6170]) ).
fof(f6170,plain,
( spl7_109
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_109])]) ).
fof(f470,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_8
| ~ spl7_21 ),
inference(resolution,[],[f423,f283]) ).
fof(f6168,plain,
( spl7_108
| ~ spl7_9
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f453,f418,f286,f6166]) ).
fof(f6166,plain,
( spl7_108
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_108])]) ).
fof(f286,plain,
( spl7_9
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f453,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_9
| ~ spl7_20 ),
inference(resolution,[],[f419,f287]) ).
fof(f287,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f6164,plain,
( spl7_107
| ~ spl7_6
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f449,f418,f274,f6162]) ).
fof(f6162,plain,
( spl7_107
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_107])]) ).
fof(f449,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_6
| ~ spl7_20 ),
inference(resolution,[],[f419,f275]) ).
fof(f6160,plain,
( spl7_106
| ~ spl7_5
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f336,f303,f270,f6158]) ).
fof(f6158,plain,
( spl7_106
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_106])]) ).
fof(f270,plain,
( spl7_5
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f336,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_5
| ~ spl7_11 ),
inference(superposition,[],[f271,f304]) ).
fof(f271,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f5948,plain,
( spl7_105
| ~ spl7_6
| ~ spl7_18 ),
inference(avatar_split_clause,[],[f405,f332,f274,f5946]) ).
fof(f5946,plain,
( spl7_105
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_105])]) ).
fof(f405,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_18 ),
inference(resolution,[],[f333,f275]) ).
fof(f5944,plain,
( spl7_104
| ~ spl7_6
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f381,f328,f274,f5942]) ).
fof(f5942,plain,
( spl7_104
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_104])]) ).
fof(f381,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_6
| ~ spl7_17 ),
inference(resolution,[],[f329,f275]) ).
fof(f5940,plain,
( spl7_103
| ~ spl7_6
| ~ spl7_16 ),
inference(avatar_split_clause,[],[f375,f324,f274,f5938]) ).
fof(f5938,plain,
( spl7_103
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_103])]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_16 ),
inference(resolution,[],[f325,f275]) ).
fof(f5936,plain,
( spl7_102
| ~ spl7_6
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f369,f320,f274,f5934]) ).
fof(f5934,plain,
( spl7_102
<=> ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_102])]) ).
fof(f369,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_6
| ~ spl7_15 ),
inference(resolution,[],[f321,f275]) ).
fof(f5932,plain,
( spl7_101
| ~ spl7_79 ),
inference(avatar_split_clause,[],[f2445,f2416,f5930]) ).
fof(f5930,plain,
( spl7_101
<=> ! [X0,X1] : sP0(X0,X1,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_101])]) ).
fof(f2416,plain,
( spl7_79
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X0,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_79])]) ).
fof(f2445,plain,
( ! [X0,X1] : sP0(X0,X1,X0,X1)
| ~ spl7_79 ),
inference(equality_resolution,[],[f2417]) ).
fof(f2417,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| sP0(X0,X1,X0,X2) )
| ~ spl7_79 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f5928,plain,
( spl7_100
| ~ spl7_8
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f363,f311,f282,f5926]) ).
fof(f5926,plain,
( spl7_100
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_100])]) ).
fof(f363,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_8
| ~ spl7_13 ),
inference(resolution,[],[f312,f283]) ).
fof(f5924,plain,
( spl7_99
| ~ spl7_8
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f357,f307,f282,f5922]) ).
fof(f5922,plain,
( spl7_99
<=> ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_99])]) ).
fof(f357,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))) )
| ~ spl7_8
| ~ spl7_12 ),
inference(resolution,[],[f308,f283]) ).
fof(f5147,plain,
( spl7_98
| ~ spl7_11
| ~ spl7_86 ),
inference(avatar_split_clause,[],[f3547,f2615,f303,f5145]) ).
fof(f5145,plain,
( spl7_98
<=> ! [X0,X1] :
( sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_98])]) ).
fof(f2615,plain,
( spl7_86
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_86])]) ).
fof(f3547,plain,
( ! [X0,X1] :
( sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_86 ),
inference(trivial_inequality_removal,[],[f3535]) ).
fof(f3535,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_86 ),
inference(superposition,[],[f2616,f304]) ).
fof(f2616,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_86 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f4845,plain,
( spl7_97
| ~ spl7_11
| ~ spl7_80 ),
inference(avatar_split_clause,[],[f2833,f2447,f303,f4843]) ).
fof(f4843,plain,
( spl7_97
<=> ! [X0,X1] :
( sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_97])]) ).
fof(f2447,plain,
( spl7_80
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_80])]) ).
fof(f2833,plain,
( ! [X0,X1] :
( sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_80 ),
inference(trivial_inequality_removal,[],[f2828]) ).
fof(f2828,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11
| ~ spl7_80 ),
inference(superposition,[],[f2448,f304]) ).
fof(f2448,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0) )
| ~ spl7_80 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f4569,plain,
( ~ spl7_3
| ~ spl7_81 ),
inference(avatar_contradiction_clause,[],[f4549]) ).
fof(f4549,plain,
( $false
| ~ spl7_3
| ~ spl7_81 ),
inference(resolution,[],[f2452,f262]) ).
fof(f262,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f2452,plain,
( ! [X0] : ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ spl7_81 ),
inference(avatar_component_clause,[],[f2451]) ).
fof(f4568,plain,
( ~ spl7_81
| ~ spl7_85 ),
inference(avatar_contradiction_clause,[],[f4552]) ).
fof(f4552,plain,
( $false
| ~ spl7_81
| ~ spl7_85 ),
inference(resolution,[],[f2452,f2477]) ).
fof(f2477,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| ~ spl7_85 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f2475,plain,
( spl7_85
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_85])]) ).
fof(f4567,plain,
( ~ spl7_81
| ~ spl7_90 ),
inference(avatar_contradiction_clause,[],[f4553]) ).
fof(f4553,plain,
( $false
| ~ spl7_81
| ~ spl7_90 ),
inference(resolution,[],[f2452,f4427]) ).
fof(f4427,plain,
( p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)))
| ~ spl7_90 ),
inference(avatar_component_clause,[],[f4425]) ).
fof(f4425,plain,
( spl7_90
<=> p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_90])]) ).
fof(f4542,plain,
( ~ spl7_91
| spl7_96
| ~ spl7_19
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f828,f805,f414,f4539,f4433]) ).
fof(f4433,plain,
( spl7_91
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_91])]) ).
fof(f4539,plain,
( spl7_96
<=> p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,combin_i_2E0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_96])]) ).
fof(f828,plain,
( p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,combin_i_2E0)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0))))
| ~ spl7_19
| ~ spl7_43 ),
inference(superposition,[],[f806,f415]) ).
fof(f4532,plain,
( ~ spl7_95
| ~ spl7_85
| ~ spl7_26
| ~ spl7_43 ),
inference(avatar_split_clause,[],[f819,f805,f500,f2475,f4529]) ).
fof(f4529,plain,
( spl7_95
<=> p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_95])]) ).
fof(f819,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,sK5(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)))
| ~ spl7_26
| ~ spl7_43 ),
inference(resolution,[],[f806,f501]) ).
fof(f4456,plain,
( spl7_93
| ~ spl7_94
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f353,f303,f4453,f4450]) ).
fof(f353,plain,
( ! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
| ~ spl7_11 ),
inference(equality_factoring,[],[f304]) ).
fof(f4448,plain,
( spl7_92
| ~ spl7_6
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f301,f290,f274,f4446]) ).
fof(f4446,plain,
( spl7_92
<=> ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_92])]) ).
fof(f301,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_6
| ~ spl7_10 ),
inference(resolution,[],[f291,f275]) ).
fof(f4436,plain,
( spl7_91
| spl7_81
| ~ spl7_19
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f799,f763,f414,f2451,f4433]) ).
fof(f799,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0)))) )
| ~ spl7_19
| ~ spl7_40 ),
inference(superposition,[],[f764,f415]) ).
fof(f4428,plain,
( spl7_90
| spl7_2
| ~ spl7_8
| ~ spl7_24
| ~ spl7_42
| spl7_82 ),
inference(avatar_split_clause,[],[f2511,f2454,f801,f492,f282,f255,f4425]) ).
fof(f2454,plain,
( spl7_82
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_82])]) ).
fof(f2511,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)))
| ~ spl7_8
| ~ spl7_24
| ~ spl7_42
| spl7_82 ),
inference(forward_demodulation,[],[f808,f2460]) ).
fof(f2460,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0)))
| ~ spl7_8
| spl7_82 ),
inference(resolution,[],[f2456,f283]) ).
fof(f2456,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| spl7_82 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f808,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)))
| ~ spl7_24
| ~ spl7_42 ),
inference(resolution,[],[f802,f493]) ).
fof(f4419,plain,
( ~ spl7_89
| spl7_2
| ~ spl7_8
| ~ spl7_19
| ~ spl7_42
| spl7_83 ),
inference(avatar_split_clause,[],[f2510,f2463,f801,f414,f282,f255,f4416]) ).
fof(f4416,plain,
( spl7_89
<=> p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,combin_i_2E0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_89])]) ).
fof(f2463,plain,
( spl7_83
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_83])]) ).
fof(f2510,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,combin_i_2E0)))
| ~ spl7_8
| ~ spl7_19
| ~ spl7_42
| spl7_83 ),
inference(forward_demodulation,[],[f818,f2472]) ).
fof(f2472,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0)))
| ~ spl7_8
| spl7_83 ),
inference(resolution,[],[f2465,f283]) ).
fof(f2465,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0))))
| spl7_83 ),
inference(avatar_component_clause,[],[f2463]) ).
fof(f818,plain,
( ~ p(s(tyop_2Emin_2Ebool,sK4(tyop_2Emin_2Ebool,combin_i_2E0)))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0))))
| ~ spl7_19
| ~ spl7_42 ),
inference(superposition,[],[f802,f415]) ).
fof(f4049,plain,
( spl7_88
| ~ spl7_86 ),
inference(avatar_split_clause,[],[f3544,f2615,f4047]) ).
fof(f4047,plain,
( spl7_88
<=> ! [X0] : sP0(X0,c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_88])]) ).
fof(f3544,plain,
( ! [X0] : sP0(X0,c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_86 ),
inference(equality_resolution,[],[f2616]) ).
fof(f2943,plain,
( spl7_87
| ~ spl7_80 ),
inference(avatar_split_clause,[],[f2832,f2447,f2941]) ).
fof(f2941,plain,
( spl7_87
<=> ! [X0] : sP0(X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_87])]) ).
fof(f2832,plain,
( ! [X0] : sP0(X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0,c_2Ebool_2ET_2E0)
| ~ spl7_80 ),
inference(equality_resolution,[],[f2448]) ).
fof(f2617,plain,
( spl7_86
| ~ spl7_14
| ~ spl7_79 ),
inference(avatar_split_clause,[],[f2437,f2416,f315,f2615]) ).
fof(f2437,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))) )
| ~ spl7_14
| ~ spl7_79 ),
inference(superposition,[],[f2417,f317]) ).
fof(f2503,plain,
( spl7_2
| ~ spl7_84 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| spl7_2
| ~ spl7_84 ),
inference(resolution,[],[f2468,f257]) ).
fof(f2468,plain,
( ! [X0] : p(s(tyop_2Emin_2Ebool,X0))
| ~ spl7_84 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2502,plain,
( spl7_82
| ~ spl7_84 ),
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f2486,plain,
( $false
| spl7_82
| ~ spl7_84 ),
inference(resolution,[],[f2468,f2456]) ).
fof(f2501,plain,
( spl7_83
| ~ spl7_84 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2487,plain,
( $false
| spl7_83
| ~ spl7_84 ),
inference(resolution,[],[f2468,f2465]) ).
fof(f2478,plain,
( spl7_84
| spl7_85
| ~ spl7_24
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f784,f763,f492,f2475,f2467]) ).
fof(f784,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_24
| ~ spl7_40 ),
inference(resolution,[],[f764,f493]) ).
fof(f2469,plain,
( ~ spl7_83
| spl7_84
| ~ spl7_19
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f779,f759,f414,f2467,f2463]) ).
fof(f779,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),combin_i_2E0)))) )
| ~ spl7_19
| ~ spl7_39 ),
inference(superposition,[],[f760,f415]) ).
fof(f2457,plain,
( spl7_81
| ~ spl7_82
| ~ spl7_26
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f766,f759,f500,f2454,f2451]) ).
fof(f766,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
| ~ spl7_26
| ~ spl7_39 ),
inference(resolution,[],[f760,f501]) ).
fof(f2449,plain,
( spl7_80
| ~ spl7_14
| ~ spl7_79 ),
inference(avatar_split_clause,[],[f2424,f2416,f315,f2447]) ).
fof(f2424,plain,
( ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0) )
| ~ spl7_14
| ~ spl7_79 ),
inference(superposition,[],[f2417,f317]) ).
fof(f2418,plain,
( spl7_79
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f757,f742,f2416]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X0,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_38 ),
inference(equality_resolution,[],[f743]) ).
fof(f2388,plain,
( spl7_78
| ~ spl7_29 ),
inference(avatar_split_clause,[],[f669,f618,f2386]) ).
fof(f2386,plain,
( spl7_78
<=> ! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_78])]) ).
fof(f618,plain,
( spl7_29
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
| s(X0,X2) != s(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
fof(f669,plain,
( ! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X1))))
| ~ spl7_29 ),
inference(equality_resolution,[],[f619]) ).
fof(f619,plain,
( ! [X2,X0,X1] :
( s(X0,X2) != s(X0,X1)
| p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) )
| ~ spl7_29 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f2080,plain,
spl7_77,
inference(avatar_split_clause,[],[f243,f2078]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X4,X5] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X0,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(X0,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),s(X0,X5))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X5))))),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4,X5] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X0,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(X0,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),s(X0,X5))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X5))))),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X10,X2,X3,X4] : s(X10,app_2E2(s(tyop_2Emin_2Efun(X0,X10),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X10)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X10))),combin_s_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X2))),s(tyop_2Emin_2Efun(X0,X1),X3))),s(X0,X4))) = s(X10,app_2E2(s(tyop_2Emin_2Efun(X1,X10),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X2),s(X0,X4))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X4))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Es__thm) ).
fof(f2032,plain,
( spl7_76
| ~ spl7_65
| ~ spl7_75 ),
inference(avatar_split_clause,[],[f2028,f2025,f1580,f2030]) ).
fof(f2025,plain,
( spl7_75
<=> ! [X2,X1,X3] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_75])]) ).
fof(f2028,plain,
( ! [X2,X3,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3)))))
| ~ spl7_65
| ~ spl7_75 ),
inference(forward_demodulation,[],[f2026,f1581]) ).
fof(f2026,plain,
( ! [X2,X3,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2)))))))))
| ~ spl7_75 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2027,plain,
spl7_75,
inference(avatar_split_clause,[],[f190,f2025]) ).
fof(f190,plain,
! [X2,X3,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2,X3] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2)))))))))
& ! [X4,X5] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5))))))) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( ! [X32,X33] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X32))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X33))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X33),s(tyop_2Enum_2Enum,X32))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X32),s(tyop_2Enum_2Enum,X33))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X33),s(tyop_2Enum_2Enum,X32)))))))))
& ! [X30,X31] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X30))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X31))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X30),s(tyop_2Enum_2Enum,X31))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
fof(f1927,plain,
spl7_74,
inference(avatar_split_clause,[],[f219,f1925]) ).
fof(f1925,plain,
( spl7_74
<=> ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_74])]) ).
fof(f219,plain,
! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X12,X13] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X12),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X13))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X12))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X13))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a) ).
fof(f1923,plain,
spl7_73,
inference(avatar_split_clause,[],[f218,f1921]) ).
fof(f1921,plain,
( spl7_73
<=> ! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_73])]) ).
fof(f218,plain,
! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X0,X12,X13] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X12),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X13))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X12))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X13))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a) ).
fof(f1881,plain,
spl7_72,
inference(avatar_split_clause,[],[f189,f1879]) ).
fof(f189,plain,
! [X0,X4,X5] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5))))))),
inference(cnf_transformation,[],[f65]) ).
fof(f1710,plain,
spl7_71,
inference(avatar_split_clause,[],[f247,f1708]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| s(X0,X5) != s(X0,X6)
| s(X0,X4) != s(X0,X3)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| ( s(X0,X5) != s(X0,X6)
& ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ( s(X0,X4) != s(X0,X3)
& p(s(tyop_2Emin_2Ebool,X2)) )
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| ( s(X0,X5) != s(X0,X6)
& ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ( s(X0,X4) != s(X0,X3)
& p(s(tyop_2Emin_2Ebool,X2)) )
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X2))
=> s(X0,X5) = s(X0,X6) )
& ( p(s(tyop_2Emin_2Ebool,X2))
=> s(X0,X4) = s(X0,X3) )
& s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) )
=> s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6))) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X21,X22,X4,X23,X24,X25] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X22))
=> s(X0,X24) = s(X0,X25) )
& ( p(s(tyop_2Emin_2Ebool,X22))
=> s(X0,X4) = s(X0,X23) )
& s(tyop_2Emin_2Ebool,X21) = s(tyop_2Emin_2Ebool,X22) )
=> s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X21),s(X0,X4),s(X0,X24))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X22),s(X0,X23),s(X0,X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CONG) ).
fof(f1706,plain,
spl7_70,
inference(avatar_split_clause,[],[f234,f1704]) ).
fof(f234,plain,
! [X2,X3,X0,X1] : s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X2),s(X0,X3))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))),s(X0,X3))),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3] : s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X2),s(X0,X3))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X1))),s(X0,X2))),s(X0,X3))),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0,X12,X13,X14] : s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X12),s(X0,X13),s(X0,X14))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X12))),s(X0,X13))),s(X0,X14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a) ).
fof(f1681,plain,
( spl7_69
| ~ spl7_58 ),
inference(avatar_split_clause,[],[f1429,f1284,f1679]) ).
fof(f1679,plain,
( spl7_69
<=> ! [X0] : sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_69])]) ).
fof(f1429,plain,
( ! [X0] : sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X0)
| ~ spl7_58 ),
inference(equality_resolution,[],[f1285]) ).
fof(f1656,plain,
spl7_68,
inference(avatar_split_clause,[],[f246,f1654]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| s(X0,X5) != s(X0,X6)
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1652,plain,
spl7_67,
inference(avatar_split_clause,[],[f245,f1650]) ).
fof(f245,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X0,X3),s(X0,X5))) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X0,X4),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(X0,X4) != s(X0,X3)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1618,plain,
spl7_66,
inference(avatar_split_clause,[],[f242,f1616]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK6(X0,X1,X2,X3)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK6(X0,X1,X2,X3)))) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK6(X0,X1,X2,X3)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK6(X0,X1,X2,X3)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f99,f142]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ? [X4] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X4))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X4)))
=> s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK6(X0,X1,X2,X3)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK6(X0,X1,X2,X3)))) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3)
| ? [X4] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X4))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X4))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ! [X4] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X4))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X4)))
=> s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Eeq__ext) ).
fof(f1582,plain,
spl7_65,
inference(avatar_split_clause,[],[f217,f1580]) ).
fof(f217,plain,
! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X28,X29] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X28),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X28),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
fof(f1410,plain,
spl7_64,
inference(avatar_split_clause,[],[f188,f1408]) ).
fof(f188,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X12,X13] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X12),s(tyop_2Enum_2Enum,X13))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X12))),s(tyop_2Enum_2Enum,X13))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).
fof(f1406,plain,
spl7_63,
inference(avatar_split_clause,[],[f187,f1404]) ).
fof(f1404,plain,
( spl7_63
<=> ! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_63])]) ).
fof(f187,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X12,X13] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X12),s(tyop_2Enum_2Enum,X13))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X12))),s(tyop_2Enum_2Enum,X13))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).
fof(f1402,plain,
spl7_62,
inference(avatar_split_clause,[],[f186,f1400]) ).
fof(f1400,plain,
( spl7_62
<=> ! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_62])]) ).
fof(f186,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0),s(tyop_2Enum_2Enum,X1))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X0))),s(tyop_2Enum_2Enum,X1))),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X12,X13] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X12),s(tyop_2Enum_2Enum,X13))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X12))),s(tyop_2Enum_2Enum,X13))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2B_2E2) ).
fof(f1298,plain,
spl7_61,
inference(avatar_split_clause,[],[f216,f1296]) ).
fof(f216,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,X1)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X12,X13] :
( ( p(s(tyop_2Emin_2Ebool,X12))
=> p(s(tyop_2Emin_2Ebool,X13)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X12))),s(tyop_2Emin_2Ebool,X13)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).
fof(f1294,plain,
spl7_60,
inference(avatar_split_clause,[],[f213,f1292]) ).
fof(f213,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X12,X13] :
( ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X12))),s(tyop_2Emin_2Ebool,X13)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) ).
fof(f1290,plain,
spl7_59,
inference(avatar_split_clause,[],[f208,f1288]) ).
fof(f208,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X12,X13] :
( ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X12))),s(tyop_2Emin_2Ebool,X13)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) ).
fof(f1286,plain,
( spl7_58
| ~ spl7_41 ),
inference(avatar_split_clause,[],[f1104,f781,f1284]) ).
fof(f781,plain,
( spl7_41
<=> ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).
fof(f1104,plain,
( ! [X0,X1] :
( sP0(c_2Ebool_2ET_2E0,X0,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) )
| ~ spl7_41 ),
inference(equality_resolution,[],[f782]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_41 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f1282,plain,
spl7_57,
inference(avatar_split_clause,[],[f184,f1280]) ).
fof(f1280,plain,
( spl7_57
<=> ! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__2comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_57])]) ).
fof(f184,plain,
! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__2comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__2comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X12] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__2comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27b) ).
fof(f1231,plain,
spl7_56,
inference(avatar_split_clause,[],[f224,f1229]) ).
fof(f224,plain,
! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2)))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
| s(X0,X2) != s(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( s(X0,X2) = s(X0,X1)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2)))) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X12,X13] :
( s(X0,X12) = s(X0,X13)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X12))),s(X0,X13)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a) ).
fof(f1227,plain,
spl7_55,
inference(avatar_split_clause,[],[f223,f1225]) ).
fof(f223,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
| s(X0,X2) != s(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1069,plain,
spl7_54,
inference(avatar_split_clause,[],[f215,f1067]) ).
fof(f215,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1065,plain,
spl7_53,
inference(avatar_split_clause,[],[f214,f1063]) ).
fof(f214,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1061,plain,
spl7_52,
inference(avatar_split_clause,[],[f212,f1059]) ).
fof(f212,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f1057,plain,
spl7_51,
inference(avatar_split_clause,[],[f211,f1055]) ).
fof(f211,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f1053,plain,
spl7_50,
inference(avatar_split_clause,[],[f210,f1051]) ).
fof(f210,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f1049,plain,
spl7_49,
inference(avatar_split_clause,[],[f209,f1047]) ).
fof(f209,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f968,plain,
spl7_48,
inference(avatar_split_clause,[],[f233,f966]) ).
fof(f233,plain,
! [X2,X3,X0,X1] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] : s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X8,X9] : s(X0,X8) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X8))),s(X1,X9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Ek__thm) ).
fof(f950,plain,
( spl7_47
| ~ spl7_14
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f753,f742,f315,f948]) ).
fof(f753,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X1,X0,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_14
| ~ spl7_38 ),
inference(superposition,[],[f743,f317]) ).
fof(f840,plain,
spl7_46,
inference(avatar_split_clause,[],[f182,f838]) ).
fof(f182,plain,
! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X1))),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X1))),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X1,X12] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X12))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b) ).
fof(f836,plain,
spl7_45,
inference(avatar_split_clause,[],[f181,f834]) ).
fof(f181,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X12] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).
fof(f832,plain,
spl7_44,
inference(avatar_split_clause,[],[f180,f830]) ).
fof(f180,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X12] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) ).
fof(f807,plain,
spl7_43,
inference(avatar_split_clause,[],[f197,f805]) ).
fof(f197,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ! [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X3] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK5(X0,X1))))) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ! [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) )
& ( ? [X3] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ! [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) )
& ( ? [X2] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
<=> ? [X2] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X11)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Equant_2E_3F) ).
fof(f803,plain,
spl7_42,
inference(avatar_split_clause,[],[f196,f801]) ).
fof(f196,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1))))) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1))))) )
& ( ! [X3] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK4(X0,X1))))) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ? [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) )
& ( ! [X3] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ? [X2] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) )
& ( ! [X2] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
<=> ! [X2] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X11)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Equant_2E_21) ).
fof(f783,plain,
( spl7_41
| ~ spl7_14
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f747,f742,f315,f781]) ).
fof(f747,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)
| sP0(X0,X1,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)),X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
| ~ spl7_14
| ~ spl7_38 ),
inference(superposition,[],[f743,f317]) ).
fof(f765,plain,
spl7_40,
inference(avatar_split_clause,[],[f198,f763]) ).
fof(f198,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f761,plain,
spl7_39,
inference(avatar_split_clause,[],[f195,f759]) ).
fof(f195,plain,
! [X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f117]) ).
fof(f744,plain,
spl7_38,
inference(avatar_split_clause,[],[f241,f742]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( sP0(X3,X1,X2,X0)
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( sP0(X3,X1,X2,X0)
| ( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
& p(s(tyop_2Emin_2Ebool,X1)) )
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ),
inference(definition_folding,[],[f98,f102]) ).
fof(f102,plain,
! [X3,X1,X2,X0] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) )
| ~ sP0(X3,X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) )
| ( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
& p(s(tyop_2Emin_2Ebool,X1)) )
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ) )
| ( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
& p(s(tyop_2Emin_2Ebool,X1)) )
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( ( p(s(tyop_2Emin_2Ebool,X1))
=> s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3) )
& s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) )
=> ( ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,X2)) )
<=> ( p(s(tyop_2Emin_2Ebool,X1))
=> p(s(tyop_2Emin_2Ebool,X3)) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X8,X18,X19,X20] :
( ( ( p(s(tyop_2Emin_2Ebool,X18))
=> s(tyop_2Emin_2Ebool,X19) = s(tyop_2Emin_2Ebool,X20) )
& s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X18) )
=> ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,X19)) )
<=> ( p(s(tyop_2Emin_2Ebool,X18))
=> p(s(tyop_2Emin_2Ebool,X20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__CONG) ).
fof(f687,plain,
spl7_37,
inference(avatar_split_clause,[],[f205,f685]) ).
fof(f205,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
<=> ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
<=> ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,X1)) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X5),s(tyop_2Emin_2Ebool,X6))))
<=> ( p(s(tyop_2Emin_2Ebool,X5))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D_3D_3E) ).
fof(f683,plain,
spl7_36,
inference(avatar_split_clause,[],[f202,f681]) ).
fof(f202,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
<=> ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X5),s(tyop_2Emin_2Ebool,X6))))
<=> ( p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_5C_2F) ).
fof(f673,plain,
spl7_35,
inference(avatar_split_clause,[],[f201,f671]) ).
fof(f201,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
<=> ( p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X5),s(tyop_2Emin_2Ebool,X6))))
<=> ( p(s(tyop_2Emin_2Ebool,X6))
& p(s(tyop_2Emin_2Ebool,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_2F_5C) ).
fof(f640,plain,
spl7_34,
inference(avatar_split_clause,[],[f239,f638]) ).
fof(f638,plain,
( spl7_34
<=> ! [X0,X3,X2,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ sP0(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ( ~ p(s(tyop_2Emin_2Ebool,X2))
& p(s(tyop_2Emin_2Ebool,X3)) ) ) )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X3,X1,X2,X0] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,X3))
& p(s(tyop_2Emin_2Ebool,X1)) ) )
& ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ( ~ p(s(tyop_2Emin_2Ebool,X2))
& p(s(tyop_2Emin_2Ebool,X0)) ) ) )
| ~ sP0(X3,X1,X2,X0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X3,X1,X2,X0] :
( ( ( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,X3))
& p(s(tyop_2Emin_2Ebool,X1)) ) )
& ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ( ~ p(s(tyop_2Emin_2Ebool,X2))
& p(s(tyop_2Emin_2Ebool,X0)) ) ) )
| ~ sP0(X3,X1,X2,X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f636,plain,
spl7_33,
inference(avatar_split_clause,[],[f238,f634]) ).
fof(f634,plain,
( spl7_33
<=> ! [X2,X0,X1,X3] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ sP0(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f632,plain,
spl7_32,
inference(avatar_split_clause,[],[f237,f630]) ).
fof(f630,plain,
( spl7_32
<=> ! [X0,X3,X2,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ sP0(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f628,plain,
( spl7_31
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f612,f504,f626]) ).
fof(f626,plain,
( spl7_31
<=> ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| sP0(X1,X0,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
fof(f612,plain,
( ! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| sP0(X1,X0,X2,X0) )
| ~ spl7_27 ),
inference(equality_resolution,[],[f505]) ).
fof(f624,plain,
spl7_30,
inference(avatar_split_clause,[],[f236,f622]) ).
fof(f622,plain,
( spl7_30
<=> ! [X0,X3,X2,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ sP0(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f620,plain,
spl7_29,
inference(avatar_split_clause,[],[f226,f618]) ).
fof(f226,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
| s(X0,X2) != s(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
| s(X0,X2) != s(X0,X1) )
& ( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
<=> s(X0,X2) = s(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X5),s(X0,X6))))
<=> s(X0,X5) = s(X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D) ).
fof(f616,plain,
spl7_28,
inference(avatar_split_clause,[],[f225,f614]) ).
fof(f225,plain,
! [X2,X0,X1] :
( s(X0,X2) = s(X0,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ),
inference(cnf_transformation,[],[f136]) ).
fof(f506,plain,
spl7_27,
inference(avatar_split_clause,[],[f240,f504]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( sP0(X3,X1,X2,X0)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f502,plain,
spl7_26,
inference(avatar_split_clause,[],[f176,f500]) ).
fof(f176,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X12] :
( ~ p(s(tyop_2Emin_2Ebool,X12))
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X12)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).
fof(f498,plain,
( spl7_25
| ~ spl7_8
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f299,f286,f282,f496]) ).
fof(f496,plain,
( spl7_25
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f299,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))) )
| ~ spl7_8
| ~ spl7_9 ),
inference(resolution,[],[f287,f283]) ).
fof(f494,plain,
spl7_24,
inference(avatar_split_clause,[],[f175,f492]) ).
fof(f175,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f490,plain,
spl7_23,
inference(avatar_split_clause,[],[f173,f488]) ).
fof(f173,plain,
! [X2,X0,X1] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2)))
& ! [X3,X4] : s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X3),s(X0,X4))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ! [X26,X27] : s(X0,X27) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X26),s(X0,X27)))
& ! [X15,X16] : s(X0,X15) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X15),s(X0,X16))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
fof(f486,plain,
spl7_22,
inference(avatar_split_clause,[],[f172,f484]) ).
fof(f172,plain,
! [X3,X0,X4] : s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X3),s(X0,X4))),
inference(cnf_transformation,[],[f51]) ).
fof(f424,plain,
spl7_21,
inference(avatar_split_clause,[],[f192,f422]) ).
fof(f192,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ( ( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ( p(s(tyop_2Emin_2Ebool,X0))
<~> p(s(tyop_2Emin_2Ebool,X1)) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X0))
<=> p(s(tyop_2Emin_2Ebool,X1)) )
=> s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X5,X6] :
( ( p(s(tyop_2Emin_2Ebool,X5))
<=> p(s(tyop_2Emin_2Ebool,X6)) )
=> s(tyop_2Emin_2Ebool,X5) = s(tyop_2Emin_2Ebool,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Eboolext) ).
fof(f420,plain,
spl7_20,
inference(avatar_split_clause,[],[f191,f418]) ).
fof(f191,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f416,plain,
spl7_19,
inference(avatar_split_clause,[],[f179,f414]) ).
fof(f179,plain,
! [X0,X1] : s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] : s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X8] : s(X0,X8) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X8))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Ei__thm) ).
fof(f334,plain,
spl7_18,
inference(avatar_split_clause,[],[f207,f332]) ).
fof(f207,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f330,plain,
spl7_17,
inference(avatar_split_clause,[],[f206,f328]) ).
fof(f206,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f326,plain,
spl7_16,
inference(avatar_split_clause,[],[f204,f324]) ).
fof(f204,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f322,plain,
spl7_15,
inference(avatar_split_clause,[],[f203,f320]) ).
fof(f203,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f318,plain,
( spl7_14
| ~ spl7_1
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f294,f274,f250,f315]) ).
fof(f250,plain,
( spl7_1
<=> p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f294,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))
| ~ spl7_1
| ~ spl7_6 ),
inference(resolution,[],[f275,f252]) ).
fof(f252,plain,
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2))))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f313,plain,
spl7_13,
inference(avatar_split_clause,[],[f200,f311]) ).
fof(f200,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f123]) ).
fof(f309,plain,
spl7_12,
inference(avatar_split_clause,[],[f199,f307]) ).
fof(f199,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
inference(cnf_transformation,[],[f123]) ).
fof(f305,plain,
spl7_11,
inference(avatar_split_clause,[],[f174,f303]) ).
fof(f174,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X7] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
fof(f292,plain,
spl7_10,
inference(avatar_split_clause,[],[f178,f290]) ).
fof(f178,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X5))))
<=> ~ p(s(tyop_2Emin_2Ebool,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_7E) ).
fof(f288,plain,
spl7_9,
inference(avatar_split_clause,[],[f177,f286]) ).
fof(f177,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ),
inference(cnf_transformation,[],[f111]) ).
fof(f284,plain,
spl7_8,
inference(avatar_split_clause,[],[f156,f282]) ).
fof(f156,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X7] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> ~ p(s(tyop_2Emin_2Ebool,X7)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> ~ p(s(tyop_2Emin_2Ebool,X7)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> p(s(tyop_2Emin_2Ebool,X7)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> p(s(tyop_2Emin_2Ebool,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(f280,plain,
spl7_7,
inference(avatar_split_clause,[],[f155,f278]) ).
fof(f278,plain,
( spl7_7
<=> ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f155,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f276,plain,
spl7_6,
inference(avatar_split_clause,[],[f152,f274]) ).
fof(f152,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f272,plain,
spl7_5,
inference(avatar_split_clause,[],[f151,f270]) ).
fof(f151,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f268,plain,
~ spl7_4,
inference(avatar_split_clause,[],[f145,f265]) ).
fof(f145,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3))))),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f90,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1)))) )
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK2),s(tyop_2Enum_2Enum,sK3))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1,X2] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1)))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X0,X34,X35] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X34))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X35))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X34))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))))) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X0,X34,X35] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X34))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X35))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X34))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
fof(f263,plain,
spl7_3,
inference(avatar_split_clause,[],[f147,f260]) ).
fof(f147,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
fof(f258,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f146,f255]) ).
fof(f146,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
fof(f253,plain,
spl7_1,
inference(avatar_split_clause,[],[f144,f250]) ).
fof(f144,plain,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK3),s(tyop_2Enum_2Enum,sK2)))),
inference(cnf_transformation,[],[f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP013+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 17:43:22 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5594)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (5596)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (5597)WARNING: value z3 for option sas not known
% 0.20/0.38 % (5599)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.39 % (5601)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.39 % (5597)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39 % (5595)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 % (5600)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39 % (5598)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.45 TRYING [1]
% 0.20/0.46 TRYING [2]
% 0.20/0.50 TRYING [3]
% 1.20/0.54 TRYING [3]
% 2.73/0.75 TRYING [4]
% 4.40/1.03 TRYING [4]
% 7.71/1.53 TRYING [1]
% 8.25/1.54 TRYING [2]
% 8.51/1.63 TRYING [3]
% 11.32/2.02 % (5599)First to succeed.
% 11.32/2.03 % (5599)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5594"
% 11.32/2.03 % (5599)Refutation found. Thanks to Tanya!
% 11.32/2.03 % SZS status Theorem for theBenchmark
% 11.32/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 11.74/2.04 % (5599)------------------------------
% 11.74/2.04 % (5599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.74/2.04 % (5599)Termination reason: Refutation
% 11.74/2.04
% 11.74/2.04 % (5599)Memory used [KB]: 12788
% 11.74/2.04 % (5599)Time elapsed: 1.649 s
% 11.74/2.04 % (5599)Instructions burned: 4530 (million)
% 11.74/2.04 % (5594)Success in time 1.674 s
%------------------------------------------------------------------------------