TSTP Solution File: GRP653+4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP653+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:17:44 EDT 2022
% Result : Theorem 101.05s 15.44s
% Output : Refutation 101.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 630
% Syntax : Number of formulae : 3007 ( 31 unt; 0 def)
% Number of atoms : 21899 ( 623 equ)
% Maximal formula atoms : 27 ( 7 avg)
% Number of connectives : 32992 (14100 ~;16732 |;1055 &)
% ( 580 <=>; 525 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 554 ( 552 usr; 491 prp; 0-5 aty)
% Number of functors : 89 ( 89 usr; 8 con; 0-6 aty)
% Number of variables : 4638 (4584 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47460,plain,
$false,
inference(avatar_smt_refutation,[],[f38951,f38956,f38961,f38966,f38971,f38976,f38981,f38986,f38991,f38996,f39001,f39006,f39011,f39016,f39363,f39411,f39481,f39499,f39516,f39532,f39547,f39558,f39578,f39585,f39620,f39627,f39667,f39692,f39698,f39708,f39725,f39751,f39804,f39829,f39843,f39852,f39866,f39880,f39902,f39910,f39918,f39929,f39934,f39951,f39959,f39966,f39976,f40009,f40022,f40029,f40037,f40051,f40080,f40147,f40164,f40184,f40189,f40227,f40238,f40248,f40299,f40329,f40346,f40357,f40402,f40415,f40427,f40448,f40467,f40492,f40526,f40537,f40544,f40555,f40559,f40572,f40582,f40595,f40614,f40625,f40633,f40654,f40665,f40688,f41051,f41086,f41109,f41120,f41135,f41146,f41169,f41194,f41202,f41245,f41253,f41293,f41334,f41354,f41361,f41377,f41387,f41395,f41409,f41452,f41468,f41482,f41523,f41561,f41571,f41587,f41607,f41615,f41688,f41698,f41706,f41719,f41739,f41765,f41782,f41792,f41799,f41813,f41820,f41841,f41854,f41883,f41897,f41907,f41922,f41952,f41959,f41972,f42025,f42049,f42116,f42124,f42145,f42149,f42156,f42224,f42240,f42248,f42270,f42304,f42319,f42341,f42826,f42834,f42838,f42842,f42849,f42853,f42857,f42867,f42873,f42877,f42881,f42885,f42889,f42893,f42897,f42905,f42909,f42913,f42917,f42921,f42925,f42933,f42937,f42941,f42947,f42952,f42956,f42960,f42964,f42969,f42973,f42978,f42983,f42987,f42991,f42995,f42999,f43003,f43011,f43016,f43020,f43024,f43030,f43034,f43039,f43043,f43049,f43053,f43059,f43063,f43067,f43071,f43075,f43079,f43086,f43092,f43096,f43100,f43104,f43108,f43116,f43120,f43124,f43129,f43133,f43137,f43141,f43147,f43151,f43157,f43162,f43166,f43170,f43176,f43181,f43185,f43189,f43193,f43197,f43201,f43205,f43209,f43213,f43217,f43224,f43231,f43615,f43620,f43626,f43632,f43637,f43639,f43645,f43650,f43655,f43657,f43661,f43663,f44148,f44152,f44156,f44160,f44164,f44168,f44172,f44176,f44180,f44184,f44188,f44193,f44201,f44205,f44209,f44214,f44218,f44222,f44226,f44230,f44234,f44241,f44245,f44249,f44253,f44257,f44261,f44265,f44269,f44276,f44280,f44284,f44288,f44292,f44296,f44301,f44305,f44310,f44314,f44318,f44322,f44326,f44330,f44334,f44338,f44342,f44348,f44352,f44358,f44362,f44366,f44370,f44374,f44378,f44382,f44386,f44390,f44394,f44398,f44402,f44406,f44410,f44414,f44418,f44426,f44430,f44434,f44438,f44443,f44447,f44451,f44455,f44459,f44463,f44468,f44472,f44478,f44483,f44490,f44494,f44498,f44506,f44510,f44514,f44518,f44523,f45195,f45199,f45207,f45216,f45221,f45226,f45231,f45236,f45244,f45248,f45262,f45266,f45271,f45275,f45282,f45292,f45297,f45302,f45306,f45311,f45315,f45320,f45326,f45331,f45336,f45349,f45353,f45361,f45365,f45373,f45377,f45382,f45387,f45391,f45396,f45408,f45415,f45420,f45425,f45438,f45445,f45449,f45455,f45461,f45466,f45472,f45483,f45487,f45493,f45499,f45504,f45509,f45514,f45518,f45522,f45526,f45530,f45536,f45537,f45543,f45550,f46371,f46495,f46545,f46573,f46600,f46754,f46767,f46773,f46786,f46793,f46801,f46807,f46814,f46820,f46826,f46832,f46838,f46854,f46861,f46867,f46874,f46880,f46898,f46906,f46913,f46922,f46928,f46934,f46942,f46950,f46957,f46962,f46968,f46974,f46990,f46998,f47003,f47031,f47038,f47045,f47051,f47068,f47074,f47111,f47118,f47128,f47136,f47143,f47149,f47155,f47163,f47169,f47176,f47182,f47313,f47324,f47335,f47339,f47341,f47345,f47349,f47353,f47357,f47362,f47366,f47370,f47374,f47378,f47379,f47382,f47387,f47392,f47419,f47431,f47445,f47459]) ).
fof(f47459,plain,
( spl168_490
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(avatar_split_clause,[],[f47454,f47025,f47021,f47017,f42113,f41685,f41520,f40144,f40077,f40048,f39013,f47456]) ).
fof(f47456,plain,
( spl168_490
<=> m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_490])]) ).
fof(f39013,plain,
( spl168_14
<=> m1_lattice4(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_14])]) ).
fof(f40048,plain,
( spl168_66
<=> v3_struct_0(k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_66])]) ).
fof(f40077,plain,
( spl168_67
<=> v10_lattices(k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_67])]) ).
fof(f40144,plain,
( spl168_68
<=> l3_lattices(k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_68])]) ).
fof(f41520,plain,
( spl168_121
<=> v3_struct_0(k11_group_4(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_121])]) ).
fof(f41685,plain,
( spl168_127
<=> v10_lattices(k11_group_4(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_127])]) ).
fof(f42113,plain,
( spl168_146
<=> l3_lattices(k11_group_4(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_146])]) ).
fof(f47017,plain,
( spl168_465
<=> v1_funct_1(k3_latsubgr(sK156,sK157,sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_465])]) ).
fof(f47021,plain,
( spl168_466
<=> m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_466])]) ).
fof(f47025,plain,
( spl168_467
<=> v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_467])]) ).
fof(f47454,plain,
( m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47453,f41687]) ).
fof(f41687,plain,
( v10_lattices(k11_group_4(sK156))
| ~ spl168_127 ),
inference(avatar_component_clause,[],[f41685]) ).
fof(f47453,plain,
( m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK156))
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47452,f40079]) ).
fof(f40079,plain,
( v10_lattices(k11_group_4(sK157))
| ~ spl168_67 ),
inference(avatar_component_clause,[],[f40077]) ).
fof(f47452,plain,
( ~ v10_lattices(k11_group_4(sK157))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK156))
| spl168_14
| spl168_66
| ~ spl168_68
| spl168_121
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47451,f41522]) ).
fof(f41522,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| spl168_121 ),
inference(avatar_component_clause,[],[f41520]) ).
fof(f47451,plain,
( v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| spl168_66
| ~ spl168_68
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47450,f40050]) ).
fof(f40050,plain,
( ~ v3_struct_0(k11_group_4(sK157))
| spl168_66 ),
inference(avatar_component_clause,[],[f40048]) ).
fof(f47450,plain,
( v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| ~ spl168_68
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47449,f47018]) ).
fof(f47018,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ spl168_465 ),
inference(avatar_component_clause,[],[f47017]) ).
fof(f47449,plain,
( ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v10_lattices(k11_group_4(sK156))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| spl168_14
| ~ spl168_68
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47448,f47026]) ).
fof(f47026,plain,
( v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_467 ),
inference(avatar_component_clause,[],[f47025]) ).
fof(f47448,plain,
( ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| ~ spl168_68
| ~ spl168_146
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47447,f42115]) ).
fof(f42115,plain,
( l3_lattices(k11_group_4(sK156))
| ~ spl168_146 ),
inference(avatar_component_clause,[],[f42113]) ).
fof(f47447,plain,
( ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK157))
| spl168_14
| ~ spl168_68
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47446,f47022]) ).
fof(f47022,plain,
( m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_466 ),
inference(avatar_component_clause,[],[f47021]) ).
fof(f47446,plain,
( ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ l3_lattices(k11_group_4(sK156))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(k11_group_4(sK157))
| spl168_14
| ~ spl168_68 ),
inference(subsumption_resolution,[],[f47400,f40146]) ).
fof(f40146,plain,
( l3_lattices(k11_group_4(sK157))
| ~ spl168_68 ),
inference(avatar_component_clause,[],[f40144]) ).
fof(f47400,plain,
( ~ l3_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| m1_subset_1(sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK156))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK157))
| spl168_14 ),
inference(resolution,[],[f39015,f37688]) ).
fof(f37688,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| m1_lattice4(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK34(X0,X1,X2),u1_struct_0(X0))
| ~ v10_lattices(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f37108]) ).
fof(f37108,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) )
| v3_struct_0(X0) ),
inference(flattening,[],[f37107]) ).
fof(f37107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f31924]) ).
fof(f31924,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattice4) ).
fof(f39015,plain,
( ~ m1_lattice4(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| spl168_14 ),
inference(avatar_component_clause,[],[f39013]) ).
fof(f47445,plain,
( spl168_489
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(avatar_split_clause,[],[f47440,f47025,f47021,f47017,f42113,f41685,f41520,f40144,f40077,f40048,f39013,f47442]) ).
fof(f47442,plain,
( spl168_489
<=> m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_489])]) ).
fof(f47440,plain,
( m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47439,f40050]) ).
fof(f47439,plain,
( m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| v3_struct_0(k11_group_4(sK157))
| spl168_14
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47438,f47018]) ).
fof(f47438,plain,
( ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(k11_group_4(sK157))
| m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47437,f41687]) ).
fof(f47437,plain,
( ~ v10_lattices(k11_group_4(sK156))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| v3_struct_0(k11_group_4(sK157))
| spl168_14
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47436,f40079]) ).
fof(f47436,plain,
( m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| ~ spl168_68
| spl168_121
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47435,f47026]) ).
fof(f47435,plain,
( ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| ~ spl168_68
| spl168_121
| ~ spl168_146
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47434,f41522]) ).
fof(f47434,plain,
( v3_struct_0(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| spl168_14
| ~ spl168_68
| ~ spl168_146
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47433,f42115]) ).
fof(f47433,plain,
( m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| spl168_14
| ~ spl168_68
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47432,f47022]) ).
fof(f47432,plain,
( m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| ~ spl168_68 ),
inference(subsumption_resolution,[],[f47401,f40146]) ).
fof(f47401,plain,
( ~ l3_lattices(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK156))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| m1_subset_1(sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),u1_struct_0(k11_group_4(sK156)))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(k11_group_4(sK156))
| spl168_14 ),
inference(resolution,[],[f39015,f37687]) ).
fof(f37687,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK35(X0,X1,X2),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f37108]) ).
fof(f47431,plain,
( spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_425
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(avatar_contradiction_clause,[],[f47430]) ).
fof(f47430,plain,
( $false
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_425
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47429,f40146]) ).
fof(f47429,plain,
( ~ l3_lattices(k11_group_4(sK157))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_425
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47428,f41687]) ).
fof(f47428,plain,
( ~ v10_lattices(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK157))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_146
| ~ spl168_425
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47427,f46494]) ).
fof(f46494,plain,
( m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ spl168_425 ),
inference(avatar_component_clause,[],[f46492]) ).
fof(f46492,plain,
( spl168_425
<=> m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_425])]) ).
fof(f47427,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK157))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_146
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47426,f40050]) ).
fof(f47426,plain,
( v3_struct_0(k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| spl168_14
| ~ spl168_67
| spl168_121
| ~ spl168_146
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47425,f41522]) ).
fof(f47425,plain,
( v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK157))
| spl168_14
| ~ spl168_67
| ~ spl168_146
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47424,f40079]) ).
fof(f47424,plain,
( ~ v10_lattices(k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| spl168_14
| ~ spl168_146
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47423,f47026]) ).
fof(f47423,plain,
( ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l3_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| spl168_14
| ~ spl168_146
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47422,f42115]) ).
fof(f47422,plain,
( ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| spl168_14
| ~ spl168_427
| ~ spl168_465
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47421,f47022]) ).
fof(f47421,plain,
( ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| spl168_14
| ~ spl168_427
| ~ spl168_465 ),
inference(subsumption_resolution,[],[f47420,f47018]) ).
fof(f47420,plain,
( ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l3_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| spl168_14
| ~ spl168_427 ),
inference(subsumption_resolution,[],[f47399,f46572]) ).
fof(f46572,plain,
( m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ spl168_427 ),
inference(avatar_component_clause,[],[f46570]) ).
fof(f46570,plain,
( spl168_427
<=> m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_427])]) ).
fof(f47399,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK157))
| spl168_14 ),
inference(resolution,[],[f39015,f37959]) ).
fof(f37959,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ m3_vectsp_8(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v10_lattices(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| m1_lattice4(X2,X0,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37306]) ).
fof(f37306,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ~ v10_lattices(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f37305]) ).
fof(f37305,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) )
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36466]) ).
fof(f36466,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(f47419,plain,
( ~ spl168_487
| ~ spl168_488
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(avatar_split_clause,[],[f47410,f47025,f47021,f47017,f42113,f41685,f41520,f40144,f40077,f40048,f39013,f47416,f47412]) ).
fof(f47412,plain,
( spl168_487
<=> sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_487])]) ).
fof(f47416,plain,
( spl168_488
<=> sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_488])]) ).
fof(f47410,plain,
( ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_68
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47409,f40146]) ).
fof(f47409,plain,
( ~ l3_lattices(k11_group_4(sK157))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_465
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47408,f47018]) ).
fof(f47408,plain,
( ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK157))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_127
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47407,f41687]) ).
fof(f47407,plain,
( ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ v10_lattices(k11_group_4(sK156))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| spl168_66
| ~ spl168_67
| spl168_121
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47406,f41522]) ).
fof(f47406,plain,
( v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ l3_lattices(k11_group_4(sK157))
| ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| spl168_14
| spl168_66
| ~ spl168_67
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47405,f40050]) ).
fof(f47405,plain,
( v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ l3_lattices(k11_group_4(sK157))
| ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| spl168_14
| ~ spl168_67
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47404,f40079]) ).
fof(f47404,plain,
( ~ v10_lattices(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK157))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ v10_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK156))
| ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| spl168_14
| ~ spl168_146
| ~ spl168_466
| ~ spl168_467 ),
inference(subsumption_resolution,[],[f47403,f47026]) ).
fof(f47403,plain,
( ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(k11_group_4(sK157))
| ~ l3_lattices(k11_group_4(sK157))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| v3_struct_0(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| spl168_14
| ~ spl168_146
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47402,f42115]) ).
fof(f47402,plain,
( ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ l3_lattices(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK157))
| v3_struct_0(k11_group_4(sK156))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| v3_struct_0(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK156))
| ~ v10_lattices(k11_group_4(sK157))
| spl168_14
| ~ spl168_466 ),
inference(subsumption_resolution,[],[f47398,f47022]) ).
fof(f47398,plain,
( ~ sQ167_eqProxy(k3_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k3_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ sQ167_eqProxy(k4_lattices(k11_group_4(sK157),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))),k8_funct_2(u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)),k3_latsubgr(sK156,sK157,sK158),k4_lattices(k11_group_4(sK156),sK34(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)),sK35(k11_group_4(sK156),k11_group_4(sK157),k3_latsubgr(sK156,sK157,sK158)))))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(k11_group_4(sK156))
| ~ l3_lattices(k11_group_4(sK156))
| v3_struct_0(k11_group_4(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l3_lattices(k11_group_4(sK157))
| ~ v10_lattices(k11_group_4(sK157))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v10_lattices(k11_group_4(sK156))
| spl168_14 ),
inference(resolution,[],[f39015,f38685]) ).
fof(f38685,plain,
! [X2,X0,X1] :
( ~ sQ167_eqProxy(k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK34(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2))),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK34(X0,X1,X2),sK35(X0,X1,X2))))
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v1_funct_1(X2)
| ~ sQ167_eqProxy(k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK34(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2))),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK34(X0,X1,X2),sK35(X0,X1,X2))))
| m1_lattice4(X2,X0,X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(equality_proxy_replacement,[],[f37686,f38579,f38579]) ).
fof(f38579,plain,
! [X0,X1] :
( sQ167_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ167_eqProxy])]) ).
fof(f37686,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK34(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2))) != k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK34(X0,X1,X2),sK35(X0,X1,X2)))
| k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK34(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2))) != k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK34(X0,X1,X2),sK35(X0,X1,X2)))
| m1_lattice4(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37108]) ).
fof(f47392,plain,
( spl168_144
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(avatar_split_clause,[],[f47391,f41140,f38983,f38978,f38973,f38958,f41970]) ).
fof(f41970,plain,
( spl168_144
<=> ! [X164,X165,X163] :
( ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ m1_group_2(X164,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ m1_group_2(X165,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_144])]) ).
fof(f38958,plain,
( spl168_3
<=> v3_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_3])]) ).
fof(f38973,plain,
( spl168_6
<=> v4_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_6])]) ).
fof(f38978,plain,
( spl168_7
<=> v3_struct_0(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_7])]) ).
fof(f38983,plain,
( spl168_8
<=> l1_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_8])]) ).
fof(f41140,plain,
( spl168_99
<=> v7_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_99])]) ).
fof(f47391,plain,
( ! [X163,X164,X165] :
( m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ m1_group_2(X165,sK156)
| ~ m1_group_2(X164,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(subsumption_resolution,[],[f47390,f41141]) ).
fof(f41141,plain,
( v7_group_1(sK156)
| ~ spl168_99 ),
inference(avatar_component_clause,[],[f41140]) ).
fof(f47390,plain,
( ! [X163,X164,X165] :
( ~ v7_group_1(sK156)
| ~ m1_group_2(X164,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ m1_group_2(X165,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47389,f38980]) ).
fof(f38980,plain,
( ~ v3_struct_0(sK156)
| spl168_7 ),
inference(avatar_component_clause,[],[f38978]) ).
fof(f47389,plain,
( ! [X163,X164,X165] :
( ~ m1_group_2(X164,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ m1_group_2(X165,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47388,f38975]) ).
fof(f38975,plain,
( v4_group_1(sK156)
| ~ spl168_6 ),
inference(avatar_component_clause,[],[f38973]) ).
fof(f47388,plain,
( ! [X163,X164,X165] :
( ~ m1_group_2(X164,sK156)
| ~ v4_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ v7_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X165,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44634,f38960]) ).
fof(f38960,plain,
( v3_group_1(sK156)
| ~ spl168_3 ),
inference(avatar_component_clause,[],[f38958]) ).
fof(f44634,plain,
( ! [X163,X164,X165] :
( ~ v3_group_1(sK156)
| ~ m1_group_2(X165,sK156)
| ~ m1_group_2(X164,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| v3_struct_0(sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| ~ v4_group_1(sK156) )
| ~ spl168_8 ),
inference(resolution,[],[f38985,f38031]) ).
fof(f38031,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X1)
| m1_subset_1(sK99(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| ~ v3_group_1(X1)
| ~ v7_group_1(X1) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f36786,plain,
! [X1,X0] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ! [X3] :
( ( ? [X4] :
( ? [X5] :
( r1_rlvect_1(X3,X5)
& k1_group_1(X1,X4,X5) = X0
& r1_rlvect_1(X2,X4)
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
<=> r1_rlvect_1(k8_group_4(X1,X2,X3),X0) )
| ~ v7_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1) ),
inference(flattening,[],[f36785]) ).
fof(f36785,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( ( ? [X4] :
( ? [X5] :
( r1_rlvect_1(X3,X5)
& k1_group_1(X1,X4,X5) = X0
& r1_rlvect_1(X2,X4)
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
<=> r1_rlvect_1(k8_group_4(X1,X2,X3),X0) )
| ~ v7_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1) )
| ~ m1_group_2(X2,X1) )
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(ennf_transformation,[],[f25590]) ).
fof(f25590,axiom,
! [X1,X0] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( ( v7_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ? [X4] :
( ? [X5] :
( r1_rlvect_1(X3,X5)
& k1_group_1(X1,X4,X5) = X0
& r1_rlvect_1(X2,X4)
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
<=> r1_rlvect_1(k8_group_4(X1,X2,X3),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_group_5) ).
fof(f38985,plain,
( l1_group_1(sK156)
| ~ spl168_8 ),
inference(avatar_component_clause,[],[f38983]) ).
fof(f47387,plain,
( spl168_123
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(avatar_split_clause,[],[f47386,f41140,f38983,f38978,f38973,f38958,f41569]) ).
fof(f41569,plain,
( spl168_123
<=> ! [X162,X160,X161] :
( r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ m1_group_2(X161,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| ~ m1_group_2(X160,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_123])]) ).
fof(f47386,plain,
( ! [X155,X153,X154] :
( ~ m1_group_2(X153,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X153,X154),X155)
| ~ m1_group_2(X154,sK156)
| r1_rlvect_1(X154,sK100(X155,sK156,X153,X154)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(subsumption_resolution,[],[f47385,f41141]) ).
fof(f47385,plain,
( ! [X155,X153,X154] :
( r1_rlvect_1(X154,sK100(X155,sK156,X153,X154))
| ~ m1_group_2(X153,sK156)
| ~ m1_group_2(X154,sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X153,X154),X155) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47384,f38985]) ).
fof(f47384,plain,
( ! [X155,X153,X154] :
( ~ l1_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X153,sK156)
| r1_rlvect_1(X154,sK100(X155,sK156,X153,X154))
| ~ r1_rlvect_1(k8_group_4(sK156,X153,X154),X155)
| ~ m1_group_2(X154,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f47383,f38980]) ).
fof(f47383,plain,
( ! [X155,X153,X154] :
( ~ m1_group_2(X154,sK156)
| v3_struct_0(sK156)
| r1_rlvect_1(X154,sK100(X155,sK156,X153,X154))
| ~ m1_group_2(X153,sK156)
| ~ v7_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X153,X154),X155) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f43331,f38960]) ).
fof(f43331,plain,
( ! [X155,X153,X154] :
( ~ m1_group_2(X153,sK156)
| ~ v3_group_1(sK156)
| ~ v7_group_1(sK156)
| r1_rlvect_1(X154,sK100(X155,sK156,X153,X154))
| ~ l1_group_1(sK156)
| ~ m1_group_2(X154,sK156)
| v3_struct_0(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X153,X154),X155) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38029]) ).
fof(f38029,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X1)
| ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| r1_rlvect_1(X3,sK100(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f47382,plain,
( spl168_486
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(avatar_split_clause,[],[f47381,f41140,f38983,f38978,f47360]) ).
fof(f47360,plain,
( spl168_486
<=> ! [X753,X754] :
( ~ m1_subset_1(X754,u1_struct_0(sK156))
| ~ m1_subset_1(X753,u1_struct_0(sK156))
| sQ167_eqProxy(k1_group_1(sK156,X753,X754),k1_group_1(sK156,X754,X753)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_486])]) ).
fof(f47381,plain,
( ! [X558,X557] :
( sQ167_eqProxy(k1_group_1(sK156,X557,X558),k1_group_1(sK156,X558,X557))
| ~ m1_subset_1(X557,u1_struct_0(sK156))
| ~ m1_subset_1(X558,u1_struct_0(sK156)) )
| spl168_7
| ~ spl168_8
| ~ spl168_99 ),
inference(subsumption_resolution,[],[f47380,f38980]) ).
fof(f47380,plain,
( ! [X558,X557] :
( sQ167_eqProxy(k1_group_1(sK156,X557,X558),k1_group_1(sK156,X558,X557))
| ~ m1_subset_1(X557,u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ m1_subset_1(X558,u1_struct_0(sK156)) )
| ~ spl168_8
| ~ spl168_99 ),
inference(subsumption_resolution,[],[f44843,f41141]) ).
fof(f44843,plain,
( ! [X558,X557] :
( sQ167_eqProxy(k1_group_1(sK156,X557,X558),k1_group_1(sK156,X558,X557))
| ~ v7_group_1(sK156)
| ~ m1_subset_1(X557,u1_struct_0(sK156))
| ~ m1_subset_1(X558,u1_struct_0(sK156))
| v3_struct_0(sK156) )
| ~ spl168_8 ),
inference(resolution,[],[f38985,f38819]) ).
fof(f38819,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| sQ167_eqProxy(k1_group_1(X0,X1,X2),k1_group_1(X0,X2,X1))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v7_group_1(X0) ),
inference(equality_proxy_replacement,[],[f38054,f38579]) ).
fof(f38054,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37116]) ).
fof(f37116,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v7_group_1(X0)
<=> ! [X1] :
( ! [X2] :
( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f37115]) ).
fof(f37115,plain,
! [X0] :
( ( v7_group_1(X0)
<=> ! [X1] :
( ! [X2] :
( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18981]) ).
fof(f18981,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ) )
<=> v7_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_group_1) ).
fof(f47379,plain,
( spl168_287
| spl168_99
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f44235,f38983,f38978,f41140,f44238]) ).
fof(f44238,plain,
( spl168_287
<=> m1_subset_1(sK105(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_287])]) ).
fof(f44235,plain,
( v7_group_1(sK156)
| m1_subset_1(sK105(sK156),u1_struct_0(sK156))
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f43833,f38985]) ).
fof(f43833,plain,
( ~ l1_group_1(sK156)
| m1_subset_1(sK105(sK156),u1_struct_0(sK156))
| v7_group_1(sK156)
| spl168_7 ),
inference(resolution,[],[f38980,f38055]) ).
fof(f38055,plain,
! [X0] :
( m1_subset_1(sK105(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v7_group_1(X0) ),
inference(cnf_transformation,[],[f37116]) ).
fof(f47378,plain,
( ~ spl168_99
| spl168_144
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47377,f38983,f38978,f38973,f38958,f41970,f41140]) ).
fof(f47377,plain,
( ! [X273,X275,X274] :
( ~ m1_group_2(X274,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X274,X275),X273)
| ~ m1_group_2(X275,sK156)
| m1_subset_1(sK99(X273,sK156,X274,X275),u1_struct_0(sK156))
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47376,f38960]) ).
fof(f47376,plain,
( ! [X273,X275,X274] :
( m1_subset_1(sK99(X273,sK156,X274,X275),u1_struct_0(sK156))
| ~ m1_group_2(X275,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X274,X275),X273)
| ~ m1_group_2(X274,sK156)
| ~ v7_group_1(sK156)
| ~ v3_group_1(sK156) )
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47375,f38985]) ).
fof(f47375,plain,
( ! [X273,X275,X274] :
( ~ l1_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X274,X275),X273)
| ~ m1_group_2(X274,sK156)
| ~ v3_group_1(sK156)
| m1_subset_1(sK99(X273,sK156,X274,X275),u1_struct_0(sK156))
| ~ m1_group_2(X275,sK156) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43824,f38975]) ).
fof(f43824,plain,
( ! [X273,X275,X274] :
( ~ m1_group_2(X275,sK156)
| ~ v7_group_1(sK156)
| ~ v4_group_1(sK156)
| m1_subset_1(sK99(X273,sK156,X274,X275),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X274,X275),X273)
| ~ v3_group_1(sK156)
| ~ m1_group_2(X274,sK156)
| ~ l1_group_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38031]) ).
fof(f47374,plain,
( ~ spl168_99
| spl168_134
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47373,f38983,f38978,f38973,f38958,f41818,f41140]) ).
fof(f41818,plain,
( spl168_134
<=> ! [X519,X520,X518] :
( ~ r1_rlvect_1(k8_group_4(sK156,X520,X518),X519)
| ~ m1_group_2(X520,sK156)
| ~ m1_group_2(X518,sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X519,sK156,X520,X518),sK100(X519,sK156,X520,X518)),X519) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_134])]) ).
fof(f47373,plain,
( ! [X535,X537,X536] :
( ~ r1_rlvect_1(k8_group_4(sK156,X537,X535),X536)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X537,sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X536,sK156,X537,X535),sK100(X536,sK156,X537,X535)),X536)
| ~ m1_group_2(X535,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47372,f38980]) ).
fof(f47372,plain,
( ! [X535,X537,X536] :
( ~ m1_group_2(X537,sK156)
| ~ m1_group_2(X535,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X537,X535),X536)
| ~ v7_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X536,sK156,X537,X535),sK100(X536,sK156,X537,X535)),X536)
| v3_struct_0(sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47371,f38975]) ).
fof(f47371,plain,
( ! [X535,X537,X536] :
( ~ v4_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X537,X535),X536)
| v3_struct_0(sK156)
| ~ m1_group_2(X535,sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X536,sK156,X537,X535),sK100(X536,sK156,X537,X535)),X536)
| ~ m1_group_2(X537,sK156) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44834,f38960]) ).
fof(f44834,plain,
( ! [X535,X537,X536] :
( ~ v3_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X536,sK156,X537,X535),sK100(X536,sK156,X537,X535)),X536)
| ~ v4_group_1(sK156)
| ~ m1_group_2(X535,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X537,X535),X536)
| ~ m1_group_2(X537,sK156)
| v3_struct_0(sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_8 ),
inference(resolution,[],[f38985,f38810]) ).
fof(f38810,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| sQ167_eqProxy(k1_group_1(X1,sK99(X0,X1,X2,X3),sK100(X0,X1,X2,X3)),X0)
| ~ v7_group_1(X1)
| ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(equality_proxy_replacement,[],[f38028,f38579]) ).
fof(f38028,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ v7_group_1(X1)
| ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| k1_group_1(X1,sK99(X0,X1,X2,X3),sK100(X0,X1,X2,X3)) = X0
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f47370,plain,
( spl168_134
| ~ spl168_99
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47369,f38983,f38978,f38973,f38958,f41140,f41818]) ).
fof(f47369,plain,
( ! [X733,X732,X731] :
( ~ v7_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X732,sK156,X733,X731),sK100(X732,sK156,X733,X731)),X732)
| ~ m1_group_2(X731,sK156)
| ~ m1_group_2(X733,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X733,X731),X732) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47368,f38985]) ).
fof(f47368,plain,
( ! [X733,X732,X731] :
( ~ r1_rlvect_1(k8_group_4(sK156,X733,X731),X732)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X732,sK156,X733,X731),sK100(X732,sK156,X733,X731)),X732)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X733,sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X731,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f47367,f38975]) ).
fof(f47367,plain,
( ! [X733,X732,X731] :
( ~ r1_rlvect_1(k8_group_4(sK156,X733,X731),X732)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X732,sK156,X733,X731),sK100(X732,sK156,X733,X731)),X732)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X731,sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X733,sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f44065,f38960]) ).
fof(f44065,plain,
( ! [X733,X732,X731] :
( ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X733,X731),X732)
| ~ v3_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X732,sK156,X733,X731),sK100(X732,sK156,X733,X731)),X732)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X733,sK156)
| ~ m1_group_2(X731,sK156)
| ~ v4_group_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38810]) ).
fof(f47366,plain,
( ~ spl168_99
| spl168_144
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47365,f38983,f38978,f38973,f38958,f41970,f41140]) ).
fof(f47365,plain,
( ! [X158,X156,X157] :
( ~ m1_group_2(X157,sK156)
| ~ m1_group_2(X158,sK156)
| ~ v7_group_1(sK156)
| m1_subset_1(sK99(X156,sK156,X157,X158),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X157,X158),X156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47364,f38980]) ).
fof(f47364,plain,
( ! [X158,X156,X157] :
( ~ r1_rlvect_1(k8_group_4(sK156,X157,X158),X156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X158,sK156)
| v3_struct_0(sK156)
| m1_subset_1(sK99(X156,sK156,X157,X158),u1_struct_0(sK156))
| ~ m1_group_2(X157,sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47363,f38985]) ).
fof(f47363,plain,
( ! [X158,X156,X157] :
( ~ m1_group_2(X157,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X157,X158),X156)
| ~ l1_group_1(sK156)
| m1_subset_1(sK99(X156,sK156,X157,X158),u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X158,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f43332,f38960]) ).
fof(f43332,plain,
( ! [X158,X156,X157] :
( ~ v7_group_1(sK156)
| m1_subset_1(sK99(X156,sK156,X157,X158),u1_struct_0(sK156))
| ~ m1_group_2(X157,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X157,X158),X156)
| ~ v3_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X158,sK156)
| ~ l1_group_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38031]) ).
fof(f47362,plain,
( ~ spl168_99
| spl168_486
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47358,f38983,f38978,f47360,f41140]) ).
fof(f47358,plain,
( ! [X753,X754] :
( ~ m1_subset_1(X754,u1_struct_0(sK156))
| sQ167_eqProxy(k1_group_1(sK156,X753,X754),k1_group_1(sK156,X754,X753))
| ~ m1_subset_1(X753,u1_struct_0(sK156))
| ~ v7_group_1(sK156) )
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44074,f38985]) ).
fof(f44074,plain,
( ! [X753,X754] :
( sQ167_eqProxy(k1_group_1(sK156,X753,X754),k1_group_1(sK156,X754,X753))
| ~ v7_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_subset_1(X753,u1_struct_0(sK156))
| ~ m1_subset_1(X754,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38819]) ).
fof(f47357,plain,
( ~ spl168_99
| spl168_112
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47356,f38983,f38978,f38973,f38958,f41359,f41140]) ).
fof(f41359,plain,
( spl168_112
<=> ! [X155,X156,X154] :
( ~ m1_group_2(X154,sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ m1_group_2(X155,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_112])]) ).
fof(f47356,plain,
( ! [X264,X266,X265] :
( ~ m1_group_2(X264,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X264,X265),X266)
| ~ v7_group_1(sK156)
| m1_subset_1(sK100(X266,sK156,X264,X265),u1_struct_0(sK156))
| ~ m1_group_2(X265,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47355,f38985]) ).
fof(f47355,plain,
( ! [X264,X266,X265] :
( ~ l1_group_1(sK156)
| ~ m1_group_2(X265,sK156)
| ~ v7_group_1(sK156)
| m1_subset_1(sK100(X266,sK156,X264,X265),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X264,X265),X266)
| ~ m1_group_2(X264,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f47354,f38975]) ).
fof(f47354,plain,
( ! [X264,X266,X265] :
( m1_subset_1(sK100(X266,sK156,X264,X265),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X264,X265),X266)
| ~ m1_group_2(X264,sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X265,sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f43821,f38960]) ).
fof(f43821,plain,
( ! [X264,X266,X265] :
( ~ v7_group_1(sK156)
| ~ v3_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X264,X265),X266)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X265,sK156)
| m1_subset_1(sK100(X266,sK156,X264,X265),u1_struct_0(sK156))
| ~ m1_group_2(X264,sK156)
| ~ v4_group_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38026]) ).
fof(f38026,plain,
! [X2,X3,X0,X1] :
( ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| m1_subset_1(sK100(X0,X1,X2,X3),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v7_group_1(X1) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f47353,plain,
( spl168_123
| ~ spl168_99
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47352,f38983,f38978,f38973,f38958,f41140,f41569]) ).
fof(f47352,plain,
( ! [X162,X160,X161] :
( ~ v7_group_1(sK156)
| ~ m1_group_2(X160,sK156)
| ~ m1_group_2(X161,sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47351,f38975]) ).
fof(f47351,plain,
( ! [X162,X160,X161] :
( ~ m1_group_2(X161,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| ~ v7_group_1(sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ m1_group_2(X160,sK156)
| ~ v4_group_1(sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47350,f38960]) ).
fof(f47350,plain,
( ! [X162,X160,X161] :
( ~ m1_group_2(X160,sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ m1_group_2(X161,sK156)
| ~ v7_group_1(sK156)
| ~ v3_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| ~ v4_group_1(sK156) )
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44633,f38980]) ).
fof(f44633,plain,
( ! [X162,X160,X161] :
( v3_struct_0(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ v3_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X160,sK156)
| ~ v4_group_1(sK156)
| ~ m1_group_2(X161,sK156) )
| ~ spl168_8 ),
inference(resolution,[],[f38985,f38029]) ).
fof(f47349,plain,
( ~ spl168_99
| spl168_112
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47348,f38983,f38978,f38973,f38958,f41359,f41140]) ).
fof(f47348,plain,
( ! [X148,X149,X147] :
( ~ m1_group_2(X148,sK156)
| m1_subset_1(sK100(X149,sK156,X147,X148),u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X147,X148),X149)
| ~ m1_group_2(X147,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47347,f38980]) ).
fof(f47347,plain,
( ! [X148,X149,X147] :
( m1_subset_1(sK100(X149,sK156,X147,X148),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X147,X148),X149)
| ~ m1_group_2(X148,sK156)
| ~ v7_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X147,sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47346,f38985]) ).
fof(f47346,plain,
( ! [X148,X149,X147] :
( ~ r1_rlvect_1(k8_group_4(sK156,X147,X148),X149)
| ~ m1_group_2(X147,sK156)
| ~ m1_group_2(X148,sK156)
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| m1_subset_1(sK100(X149,sK156,X147,X148),u1_struct_0(sK156))
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f43329,f38960]) ).
fof(f43329,plain,
( ! [X148,X149,X147] :
( ~ v7_group_1(sK156)
| ~ v3_group_1(sK156)
| m1_subset_1(sK100(X149,sK156,X147,X148),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ m1_group_2(X148,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X147,X148),X149)
| ~ m1_group_2(X147,sK156)
| ~ l1_group_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38026]) ).
fof(f47345,plain,
( ~ spl168_99
| spl168_112
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47344,f38983,f38978,f38973,f38958,f41359,f41140]) ).
fof(f47344,plain,
( ! [X155,X156,X154] :
( ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| ~ m1_group_2(X155,sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ m1_group_2(X154,sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47343,f38960]) ).
fof(f47343,plain,
( ! [X155,X156,X154] :
( ~ m1_group_2(X155,sK156)
| ~ v7_group_1(sK156)
| ~ v3_group_1(sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| ~ m1_group_2(X154,sK156) )
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47342,f38980]) ).
fof(f47342,plain,
( ! [X155,X156,X154] :
( ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| v3_struct_0(sK156)
| ~ m1_group_2(X155,sK156)
| ~ m1_group_2(X154,sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| ~ v3_group_1(sK156) )
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44631,f38975]) ).
fof(f44631,plain,
( ! [X155,X156,X154] :
( m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ m1_group_2(X154,sK156)
| ~ v7_group_1(sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X155,sK156)
| ~ v3_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156) )
| ~ spl168_8 ),
inference(resolution,[],[f38985,f38026]) ).
fof(f47341,plain,
( spl168_99
| spl168_295
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f44270,f38983,f38978,f44273,f41140]) ).
fof(f44273,plain,
( spl168_295
<=> m1_subset_1(sK106(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_295])]) ).
fof(f44270,plain,
( m1_subset_1(sK106(sK156),u1_struct_0(sK156))
| v7_group_1(sK156)
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f43832,f38985]) ).
fof(f43832,plain,
( ~ l1_group_1(sK156)
| v7_group_1(sK156)
| m1_subset_1(sK106(sK156),u1_struct_0(sK156))
| spl168_7 ),
inference(resolution,[],[f38980,f38052]) ).
fof(f38052,plain,
! [X0] :
( m1_subset_1(sK106(X0),u1_struct_0(X0))
| v7_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37116]) ).
fof(f47339,plain,
( ~ spl168_99
| spl168_123
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f47338,f38983,f38978,f38973,f38958,f41569,f41140]) ).
fof(f47338,plain,
( ! [X271,X272,X270] :
( ~ r1_rlvect_1(k8_group_4(sK156,X270,X271),X272)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X271,sK156)
| ~ m1_group_2(X270,sK156)
| r1_rlvect_1(X271,sK100(X272,sK156,X270,X271)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47337,f38985]) ).
fof(f47337,plain,
( ! [X271,X272,X270] :
( ~ v7_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X270,sK156)
| ~ m1_group_2(X271,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X270,X271),X272)
| r1_rlvect_1(X271,sK100(X272,sK156,X270,X271)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f47336,f38975]) ).
fof(f47336,plain,
( ! [X271,X272,X270] :
( ~ v7_group_1(sK156)
| ~ m1_group_2(X271,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X270,X271),X272)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X270,sK156)
| r1_rlvect_1(X271,sK100(X272,sK156,X270,X271)) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f43823,f38960]) ).
fof(f43823,plain,
( ! [X271,X272,X270] :
( ~ v3_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X271,sK156)
| ~ m1_group_2(X270,sK156)
| ~ v4_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X270,X271),X272)
| r1_rlvect_1(X271,sK100(X272,sK156,X270,X271))
| ~ l1_group_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38029]) ).
fof(f47335,plain,
( spl168_465
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| ~ spl168_479 ),
inference(avatar_split_clause,[],[f47334,f47140,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38958,f38953,f47017]) ).
fof(f38953,plain,
( spl168_2
<=> v4_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_2])]) ).
fof(f38968,plain,
( spl168_5
<=> v3_struct_0(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_5])]) ).
fof(f38988,plain,
( spl168_9
<=> v1_funct_1(sK158) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_9])]) ).
fof(f38998,plain,
( spl168_11
<=> v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_11])]) ).
fof(f39003,plain,
( spl168_12
<=> v3_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_12])]) ).
fof(f39008,plain,
( spl168_13
<=> l1_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_13])]) ).
fof(f47140,plain,
( spl168_479
<=> m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_479])]) ).
fof(f47334,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47333,f47142]) ).
fof(f47142,plain,
( m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_479 ),
inference(avatar_component_clause,[],[f47140]) ).
fof(f47333,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47332,f39005]) ).
fof(f39005,plain,
( v3_group_1(sK157)
| ~ spl168_12 ),
inference(avatar_component_clause,[],[f39003]) ).
fof(f47332,plain,
( ~ v3_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47331,f38960]) ).
fof(f47331,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK156)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47330,f39010]) ).
fof(f39010,plain,
( l1_group_1(sK157)
| ~ spl168_13 ),
inference(avatar_component_clause,[],[f39008]) ).
fof(f47330,plain,
( ~ l1_group_1(sK157)
| v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47329,f38985]) ).
fof(f47329,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK156)
| ~ v3_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47328,f38955]) ).
fof(f38955,plain,
( v4_group_1(sK157)
| ~ spl168_2 ),
inference(avatar_component_clause,[],[f38953]) ).
fof(f47328,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47327,f38975]) ).
fof(f47327,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v4_group_1(sK156)
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| spl168_5
| spl168_7
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47326,f38980]) ).
fof(f47326,plain,
( v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ v4_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| spl168_5
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47325,f38970]) ).
fof(f38970,plain,
( ~ v3_struct_0(sK157)
| spl168_5 ),
inference(avatar_component_clause,[],[f38968]) ).
fof(f47325,plain,
( v3_struct_0(sK157)
| ~ v4_group_1(sK157)
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47185,f38990]) ).
fof(f38990,plain,
( v1_funct_1(sK158)
| ~ spl168_9 ),
inference(avatar_component_clause,[],[f38988]) ).
fof(f47185,plain,
( ~ v1_funct_1(sK158)
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK156)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK157)
| v3_struct_0(sK156)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_11 ),
inference(resolution,[],[f39000,f37650]) ).
fof(f37650,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k3_latsubgr(X2,X1,X0))
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37391]) ).
fof(f37391,plain,
! [X0,X1,X2] :
( ~ v3_group_1(X1)
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_funct_1(X0)
| ~ v4_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_group_1(X2)
| ( v1_funct_2(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& v1_funct_1(k3_latsubgr(X2,X1,X0)) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X2) ),
inference(flattening,[],[f37390]) ).
fof(f37390,plain,
! [X1,X2,X0] :
( ( v1_funct_2(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& v1_funct_1(k3_latsubgr(X2,X1,X0)) )
| ~ v3_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X1)
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f36532]) ).
fof(f36532,plain,
! [X1,X2,X0] :
( ( v3_group_1(X1)
& v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
& v3_group_1(X2)
& l1_group_1(X2)
& ~ v3_struct_0(X1)
& m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v4_group_1(X2)
& v4_group_1(X1)
& v1_funct_1(X0) )
=> ( v1_funct_2(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
& v1_funct_1(k3_latsubgr(X2,X1,X0)) ) ),
inference(rectify,[],[f36489]) ).
fof(f36489,axiom,
! [X2,X1,X0] :
( ( l1_group_1(X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v3_struct_0(X1)
& v3_group_1(X0)
& v3_group_1(X1)
& ~ v3_struct_0(X0)
& l1_group_1(X1)
& v1_funct_1(X2)
& v4_group_1(X1)
& v4_group_1(X0) )
=> ( v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& v1_funct_1(k3_latsubgr(X0,X1,X2))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
fof(f39000,plain,
( v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_11 ),
inference(avatar_component_clause,[],[f38998]) ).
fof(f47324,plain,
( spl168_467
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| ~ spl168_479 ),
inference(avatar_split_clause,[],[f47323,f47140,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38958,f38953,f47025]) ).
fof(f47323,plain,
( v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47322,f38980]) ).
fof(f47322,plain,
( v3_struct_0(sK156)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47321,f39010]) ).
fof(f47321,plain,
( ~ l1_group_1(sK157)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK156)
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47320,f38990]) ).
fof(f47320,plain,
( ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| ~ spl168_8
| ~ spl168_11
| ~ spl168_12
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47319,f38985]) ).
fof(f47319,plain,
( ~ l1_group_1(sK156)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK156)
| ~ v1_funct_1(sK158)
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| ~ spl168_11
| ~ spl168_12
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47318,f38970]) ).
fof(f47318,plain,
( v3_struct_0(sK157)
| v3_struct_0(sK156)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| ~ spl168_6
| ~ spl168_11
| ~ spl168_12
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47317,f38955]) ).
fof(f47317,plain,
( ~ v4_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_11
| ~ spl168_12
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47316,f39005]) ).
fof(f47316,plain,
( ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| v3_struct_0(sK157)
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_11
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47315,f38975]) ).
fof(f47315,plain,
( ~ v4_group_1(sK156)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_3
| ~ spl168_11
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47314,f47142]) ).
fof(f47314,plain,
( v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47187,f38960]) ).
fof(f47187,plain,
( ~ v3_group_1(sK156)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK157)
| v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_11 ),
inference(resolution,[],[f39000,f37652]) ).
fof(f37652,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ v4_group_1(X2)
| v1_funct_2(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f37391]) ).
fof(f47313,plain,
( ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| spl168_466
| ~ spl168_479 ),
inference(avatar_contradiction_clause,[],[f47312]) ).
fof(f47312,plain,
( $false
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13
| spl168_466
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47311,f39005]) ).
fof(f47311,plain,
( ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13
| spl168_466
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47310,f47023]) ).
fof(f47023,plain,
( ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| spl168_466 ),
inference(avatar_component_clause,[],[f47021]) ).
fof(f47310,plain,
( m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47309,f38970]) ).
fof(f47309,plain,
( v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47308,f38985]) ).
fof(f47308,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47307,f38960]) ).
fof(f47307,plain,
( ~ v3_group_1(sK156)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_2
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47306,f39010]) ).
fof(f47306,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK156)
| ~ v3_group_1(sK157)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK156)
| ~ spl168_2
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11
| ~ spl168_479 ),
inference(subsumption_resolution,[],[f47305,f47142]) ).
fof(f47305,plain,
( ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47304,f38955]) ).
fof(f47304,plain,
( ~ v4_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK156)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| v3_struct_0(sK157)
| ~ l1_group_1(sK156)
| ~ v3_group_1(sK157)
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47303,f38980]) ).
fof(f47303,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_6
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47302,f38990]) ).
fof(f47302,plain,
( ~ v1_funct_1(sK158)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK156)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_6
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47186,f38975]) ).
fof(f47186,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v4_group_1(sK157)
| ~ m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_11 ),
inference(resolution,[],[f39000,f37651]) ).
fof(f37651,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X2)
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| m2_relset_1(k3_latsubgr(X2,X1,X0),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X1)
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f37391]) ).
fof(f47182,plain,
( spl168_431
| spl168_429
| spl168_485
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47178,f38998,f38988,f38948,f47180,f46744,f46751]) ).
fof(f46751,plain,
( spl168_431
<=> v1_xboole_0(u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_431])]) ).
fof(f46744,plain,
( spl168_429
<=> v1_xboole_0(u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_429])]) ).
fof(f47180,plain,
( spl168_485
<=> ! [X136] :
( m1_subset_1(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136),u1_struct_0(sK156))
| ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(sK156)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136)),X136) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_485])]) ).
fof(f38948,plain,
( spl168_1
<=> m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_1])]) ).
fof(f47178,plain,
( ! [X136] :
( m1_subset_1(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136),u1_struct_0(sK156))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136)),X136)
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47177,f39000]) ).
fof(f47177,plain,
( ! [X136] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136)),X136)
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| m1_subset_1(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136),u1_struct_0(sK156))
| ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46710,f38990]) ).
fof(f46710,plain,
( ! [X136] :
( ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| m1_subset_1(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136),u1_struct_0(sK156))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X136)),X136)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38700]) ).
fof(f38700,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK43(X0,X1,X2,X3),X0)
| sQ167_eqProxy(k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)),X3)
| v1_xboole_0(X0) ),
inference(equality_proxy_replacement,[],[f37718,f38579]) ).
fof(f37718,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK43(X0,X1,X2,X3),X0)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37440]) ).
fof(f37440,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ v1_funct_2(X2,X0,X1)
| ! [X3] :
( ? [X4] :
( ? [X5] :
( k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X2,X4)
& m1_subset_1(X5,X0)
& r2_hidden(X4,X3)
& ~ r2_hidden(X5,X3) )
& m1_subset_1(X4,X0) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3 )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37439]) ).
fof(f37439,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ? [X4] :
( ? [X5] :
( ~ r2_hidden(X5,X3)
& k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X2,X4)
& r2_hidden(X4,X3)
& m1_subset_1(X5,X0) )
& m1_subset_1(X4,X0) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f33734]) ).
fof(f33734,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> ( ( k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X2,X4)
& r2_hidden(X4,X3) )
=> r2_hidden(X5,X3) ) ) )
=> k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_t_0topsp) ).
fof(f38950,plain,
( m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1 ),
inference(avatar_component_clause,[],[f38948]) ).
fof(f47176,plain,
( spl168_429
| spl168_484
| spl168_431
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47172,f38998,f38993,f38988,f38948,f46751,f47174,f46744]) ).
fof(f47174,plain,
( spl168_484
<=> ! [X105,X106] :
( ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(sK156)))
| r2_hidden(X105,X106)
| ~ m1_subset_1(X105,u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X105),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X106)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_484])]) ).
fof(f38993,plain,
( spl168_10
<=> v2_funct_1(sK158) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_10])]) ).
fof(f47172,plain,
( ! [X106,X105] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X105),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X106))
| ~ m1_subset_1(X105,u1_struct_0(sK156))
| r2_hidden(X105,X106) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47171,f39000]) ).
fof(f47171,plain,
( ! [X106,X105] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X105,u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X105),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X106))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| r2_hidden(X105,X106)
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f47170,f38990]) ).
fof(f47170,plain,
( ! [X106,X105] :
( v1_xboole_0(u1_struct_0(sK156))
| r2_hidden(X105,X106)
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X105),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X106))
| ~ m1_subset_1(X105,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f46691,f38995]) ).
fof(f38995,plain,
( v2_funct_1(sK158)
| ~ spl168_10 ),
inference(avatar_component_clause,[],[f38993]) ).
fof(f46691,plain,
( ! [X106,X105] :
( v1_xboole_0(u1_struct_0(sK157))
| r2_hidden(X105,X106)
| ~ m1_subset_1(X105,u1_struct_0(sK156))
| ~ v2_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X105),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X106))
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38205]) ).
fof(f38205,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ v2_funct_1(X2)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k2_funct_2(X0,X1,X2,X4))
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37310]) ).
fof(f37310,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r2_hidden(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k2_funct_2(X0,X1,X2,X4)) )
| ~ m1_subset_1(X3,X0) )
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37309]) ).
fof(f37309,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r2_hidden(X3,X4)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k2_funct_2(X0,X1,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X3,X0) )
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16858]) ).
fof(f16858,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X0))
=> ( r2_hidden(k8_funct_2(X0,X1,X2,X3),k2_funct_2(X0,X1,X2,X4))
=> r2_hidden(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_funct_7) ).
fof(f47169,plain,
( spl168_431
| spl168_429
| spl168_483
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47165,f38998,f38988,f38948,f47167,f46744,f46751]) ).
fof(f47167,plain,
( spl168_483
<=> ! [X155] :
( sQ167_eqProxy(k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X155)),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(X155)))
| ~ m1_subset_1(X155,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_483])]) ).
fof(f47165,plain,
( ! [X155] :
( sQ167_eqProxy(k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X155)),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(X155)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X155,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47164,f39000]) ).
fof(f47164,plain,
( ! [X155] :
( ~ m1_subset_1(X155,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X155)),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(X155)))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46737,f38990]) ).
fof(f46737,plain,
( ! [X155] :
( ~ v1_funct_1(sK158)
| sQ167_eqProxy(k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X155)),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(X155)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X155,u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38878]) ).
fof(f38878,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| sQ167_eqProxy(k1_tarski(k8_funct_2(X1,X0,X2,X3)),k2_funct_2(X1,X0,X2,k1_tarski(X3)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| v1_xboole_0(X0) ),
inference(equality_proxy_replacement,[],[f38212,f38579]) ).
fof(f38212,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| ~ m1_subset_1(X3,X1)
| k1_tarski(k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k1_tarski(X3))
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f36858]) ).
fof(f36858,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_funct_1(X2)
| ! [X3] :
( k1_tarski(k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X1) )
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f36857]) ).
fof(f36857,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_tarski(k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X1) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f3250]) ).
fof(f3250,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0) )
=> ! [X3] :
( m1_subset_1(X3,X1)
=> k1_tarski(k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k1_tarski(X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_setwiseo) ).
fof(f47163,plain,
( spl168_433
| spl168_482
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47158,f38998,f38993,f38988,f38948,f47160,f46764]) ).
fof(f46764,plain,
( spl168_433
<=> sQ167_eqProxy(np__0,u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_433])]) ).
fof(f47160,plain,
( spl168_482
<=> sP54(sK158,u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_482])]) ).
fof(f47158,plain,
( sP54(sK158,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47157,f39000]) ).
fof(f47157,plain,
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sP54(sK158,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f47156,f38990]) ).
fof(f47156,plain,
( ~ v1_funct_1(sK158)
| sP54(sK158,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f46717,f38995]) ).
fof(f46717,plain,
( ~ v2_funct_1(sK158)
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| sP54(sK158,u1_struct_0(sK156))
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38718]) ).
fof(f38718,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| sP54(X2,X1)
| sQ167_eqProxy(np__0,X0)
| ~ m2_relset_1(X2,X1,X0) ),
inference(equality_proxy_replacement,[],[f38443,f38579]) ).
fof(f38443,plain,
! [X2,X0,X1] :
( np__0 = X0
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ v2_funct_1(X2)
| sP54(X2,X1) ),
inference(definition_unfolding,[],[f37782,f38238]) ).
fof(f38238,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f5328,axiom,
k1_xboole_0 = np__0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f37782,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X0
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ v2_funct_1(X2)
| sP54(X2,X1) ),
inference(cnf_transformation,[],[f37281]) ).
fof(f37281,plain,
! [X2,X1,X0] :
( ( ! [X3,X4] :
( k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X1)
| X3 = X4 )
<=> v2_funct_1(X2) )
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ( k1_xboole_0 = X0
& k1_xboole_0 != X1 ) ),
inference(flattening,[],[f37280]) ).
fof(f37280,plain,
! [X2,X1,X0] :
( ( v2_funct_1(X2)
<=> ! [X4,X3] :
( X3 = X4
| ~ r2_hidden(X3,X1)
| k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X1) ) )
| ( k1_xboole_0 = X0
& k1_xboole_0 != X1 )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0) ),
inference(ennf_transformation,[],[f36536]) ).
fof(f36536,plain,
! [X2,X1,X0] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0) )
=> ( ( k1_xboole_0 = X0
=> k1_xboole_0 = X1 )
=> ( v2_funct_1(X2)
<=> ! [X4,X3] :
( ( r2_hidden(X3,X1)
& k1_funct_1(X2,X3) = k1_funct_1(X2,X4)
& r2_hidden(X4,X1) )
=> X3 = X4 ) ) ) ),
inference(rectify,[],[f1930]) ).
fof(f1930,axiom,
! [X1,X0,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) )
=> ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> ( ! [X3,X4] :
( ( k1_funct_1(X2,X3) = k1_funct_1(X2,X4)
& r2_hidden(X4,X0)
& r2_hidden(X3,X0) )
=> X3 = X4 )
<=> v2_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_funct_2) ).
fof(f47155,plain,
( spl168_431
| spl168_481
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47151,f38998,f38988,f38948,f47153,f46751]) ).
fof(f47153,plain,
( spl168_481
<=> ! [X80,X79] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79),X80)
| v1_funct_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79))
| ~ r1_tarski(X79,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_481])]) ).
fof(f47151,plain,
( ! [X80,X79] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79),X80)
| ~ r1_tarski(X79,u1_struct_0(sK156))
| v1_funct_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47150,f38990]) ).
fof(f47150,plain,
( ! [X80,X79] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79),X80)
| v1_funct_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79))
| v1_xboole_0(u1_struct_0(sK157))
| ~ r1_tarski(X79,u1_struct_0(sK156))
| ~ v1_funct_1(sK158) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46674,f39000]) ).
fof(f46674,plain,
( ! [X80,X79] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ r1_tarski(X79,u1_struct_0(sK156))
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79),X80)
| v1_funct_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X79)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37851]) ).
fof(f37851,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(k2_funct_2(X2,X3,X4,X0),X1)
| ~ r1_tarski(X0,X2)
| ~ v1_funct_2(X4,X2,X3)
| v1_funct_1(k2_partfun1(X2,X3,X4,X0))
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X2,X3) ),
inference(cnf_transformation,[],[f36782]) ).
fof(f36782,plain,
! [X2,X0,X3,X1] :
( v1_xboole_0(X3)
| ! [X4] :
( ( v1_funct_2(k2_partfun1(X2,X3,X4,X0),X0,X1)
& v1_funct_1(k2_partfun1(X2,X3,X4,X0))
& m2_relset_1(k2_partfun1(X2,X3,X4,X0),X0,X1) )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(k2_funct_2(X2,X3,X4,X0),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X2,X3)
| ~ m2_relset_1(X4,X2,X3) ) ),
inference(flattening,[],[f36781]) ).
fof(f36781,plain,
! [X3,X1,X0,X2] :
( ! [X4] :
( ( v1_funct_2(k2_partfun1(X2,X3,X4,X0),X0,X1)
& v1_funct_1(k2_partfun1(X2,X3,X4,X0))
& m2_relset_1(k2_partfun1(X2,X3,X4,X0),X0,X1) )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(k2_funct_2(X2,X3,X4,X0),X1)
| ~ v1_funct_2(X4,X2,X3)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X2,X3) )
| v1_xboole_0(X3) ),
inference(ennf_transformation,[],[f36573]) ).
fof(f36573,plain,
! [X3,X1,X0,X2] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( v1_funct_2(X4,X2,X3)
& v1_funct_1(X4)
& m2_relset_1(X4,X2,X3) )
=> ( ( r1_tarski(X0,X2)
& r1_tarski(k2_funct_2(X2,X3,X4,X0),X1) )
=> ( v1_funct_2(k2_partfun1(X2,X3,X4,X0),X0,X1)
& v1_funct_1(k2_partfun1(X2,X3,X4,X0))
& m2_relset_1(k2_partfun1(X2,X3,X4,X0),X0,X1) ) ) ) ),
inference(rectify,[],[f17749]) ).
fof(f17749,axiom,
! [X1,X2,X0,X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X0,X3)
& v1_funct_2(X4,X0,X3) )
=> ( ( r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
& r1_tarski(X1,X0) )
=> ( m2_relset_1(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_2(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_1(k2_partfun1(X0,X3,X4,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_cat_1) ).
fof(f47149,plain,
( spl168_431
| spl168_429
| spl168_480
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47145,f38998,f38988,f38948,f47147,f46744,f46751]) ).
fof(f47147,plain,
( spl168_480
<=> ! [X134] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134)),X134)
| m1_subset_1(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134),u1_struct_0(sK156))
| ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(sK156))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_480])]) ).
fof(f47145,plain,
( ! [X134] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134)),X134)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(sK156)))
| m1_subset_1(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134),u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47144,f39000]) ).
fof(f47144,plain,
( ! [X134] :
( v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134)),X134)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| m1_subset_1(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134),u1_struct_0(sK156))
| ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46708,f38990]) ).
fof(f46708,plain,
( ! [X134] :
( ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(sK156)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134)),X134)
| m1_subset_1(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X134),u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38698]) ).
fof(f38698,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| sQ167_eqProxy(k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)),X3)
| m1_subset_1(sK42(X0,X1,X2,X3),X0) ),
inference(equality_proxy_replacement,[],[f37720,f38579]) ).
fof(f37720,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK42(X0,X1,X2,X3),X0)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37440]) ).
fof(f47143,plain,
( spl168_479
| ~ spl168_1 ),
inference(avatar_split_clause,[],[f46667,f38948,f47140]) ).
fof(f46667,plain,
( m1_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37795]) ).
fof(f37795,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| m1_relset_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f36679]) ).
fof(f36679,plain,
! [X0,X2,X1] :
( m2_relset_1(X1,X0,X2)
<=> m1_relset_1(X1,X0,X2) ),
inference(rectify,[],[f1483]) ).
fof(f1483,axiom,
! [X0,X2,X1] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f47136,plain,
( spl168_429
| spl168_431
| spl168_478
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47132,f38998,f38988,f38948,f47134,f46751,f46744]) ).
fof(f47134,plain,
( spl168_478
<=> ! [X135] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),X135)
| ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(sK156))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_478])]) ).
fof(f47132,plain,
( ! [X135] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),X135) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47131,f38990]) ).
fof(f47131,plain,
( ! [X135] :
( ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),X135) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46709,f39000]) ).
fof(f46709,plain,
( ! [X135] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X135)),X135) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38699]) ).
fof(f38699,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| sQ167_eqProxy(k8_funct_2(X0,X1,X2,sK43(X0,X1,X2,X3)),k8_funct_2(X0,X1,X2,sK42(X0,X1,X2,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| sQ167_eqProxy(k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)),X3)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X0) ),
inference(equality_proxy_replacement,[],[f37719,f38579,f38579]) ).
fof(f37719,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| k8_funct_2(X0,X1,X2,sK43(X0,X1,X2,X3)) = k8_funct_2(X0,X1,X2,sK42(X0,X1,X2,X3))
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37440]) ).
fof(f47128,plain,
( spl168_476
| spl168_433
| spl168_477
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47120,f38998,f38988,f38948,f47126,f46764,f47122]) ).
fof(f47122,plain,
( spl168_476
<=> sQ167_eqProxy(np__0,u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_476])]) ).
fof(f47126,plain,
( spl168_477
<=> ! [X124,X123,X122] :
( ~ m2_relset_1(X122,X123,u1_struct_0(sK156))
| ~ v1_funct_2(X122,X123,u1_struct_0(sK156))
| ~ v1_funct_1(X122)
| r1_tarski(k3_funct_2(X123,u1_struct_0(sK156),X122,X124),k3_funct_2(X123,u1_struct_0(sK157),k1_partfun1(X123,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X122,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X124))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_477])]) ).
fof(f47120,plain,
( ! [X124,X122,X123] :
( ~ m2_relset_1(X122,X123,u1_struct_0(sK156))
| r1_tarski(k3_funct_2(X123,u1_struct_0(sK156),X122,X124),k3_funct_2(X123,u1_struct_0(sK157),k1_partfun1(X123,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X122,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X124)))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_1(X122)
| ~ v1_funct_2(X122,X123,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47119,f38990]) ).
fof(f47119,plain,
( ! [X124,X122,X123] :
( sQ167_eqProxy(np__0,u1_struct_0(sK156))
| ~ m2_relset_1(X122,X123,u1_struct_0(sK156))
| ~ v1_funct_1(X122)
| ~ v1_funct_2(X122,X123,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| r1_tarski(k3_funct_2(X123,u1_struct_0(sK156),X122,X124),k3_funct_2(X123,u1_struct_0(sK157),k1_partfun1(X123,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X122,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X124))) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46702,f39000]) ).
fof(f46702,plain,
( ! [X124,X122,X123] :
( ~ m2_relset_1(X122,X123,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK156))
| r1_tarski(k3_funct_2(X123,u1_struct_0(sK156),X122,X124),k3_funct_2(X123,u1_struct_0(sK157),k1_partfun1(X123,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X122,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X124)))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(X122,X123,u1_struct_0(sK156))
| ~ v1_funct_1(X122)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38614]) ).
fof(f38614,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X1,X2,X0)
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| ~ m2_relset_1(X5,X0,X3)
| sQ167_eqProxy(np__0,X0)
| ~ m2_relset_1(X1,X2,X0)
| sQ167_eqProxy(np__0,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X5,X0,X3) ),
inference(equality_proxy_replacement,[],[f38420,f38579,f38579]) ).
fof(f38420,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| np__0 = X3
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| np__0 = X0
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(definition_unfolding,[],[f37531,f38238,f38238]) ).
fof(f37531,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| k1_xboole_0 = X3
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| k1_xboole_0 = X0
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f37112]) ).
fof(f37112,plain,
! [X3,X4,X1,X0,X2] :
( ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,X0)
| ! [X5] :
( ( k1_xboole_0 = X0
& k1_xboole_0 != X2 )
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| ( k1_xboole_0 != X0
& k1_xboole_0 = X3 )
| ~ v1_funct_2(X5,X0,X3)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_1(X5) ) ),
inference(flattening,[],[f37111]) ).
fof(f37111,plain,
! [X0,X2,X1,X3,X4] :
( ! [X5] :
( r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| ( k1_xboole_0 = X0
& k1_xboole_0 != X2 )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X3 )
| ~ v1_funct_2(X5,X0,X3)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3) )
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f36663]) ).
fof(f36663,plain,
! [X0,X2,X1,X3,X4] :
( ( m2_relset_1(X1,X2,X0)
& v1_funct_2(X1,X2,X0)
& v1_funct_1(X1) )
=> ! [X5] :
( ( v1_funct_2(X5,X0,X3)
& v1_funct_1(X5)
& m2_relset_1(X5,X0,X3) )
=> ~ ( ~ r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
& ( k1_xboole_0 = X0
=> k1_xboole_0 = X2 )
& ( k1_xboole_0 = X3
=> k1_xboole_0 = X0 ) ) ) ),
inference(rectify,[],[f1958]) ).
fof(f1958,axiom,
! [X1,X4,X0,X2,X3] :
( ( v1_funct_2(X4,X0,X1)
& m2_relset_1(X4,X0,X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( v1_funct_1(X5)
& m2_relset_1(X5,X1,X2)
& v1_funct_2(X5,X1,X2) )
=> ~ ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
& ( k1_xboole_0 = X2
=> k1_xboole_0 = X1 )
& ~ r1_tarski(k3_funct_2(X0,X1,X4,X3),k3_funct_2(X0,X2,k1_partfun1(X0,X1,X1,X2,X4,X5),k2_funct_2(X1,X2,X5,X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_2) ).
fof(f47118,plain,
( spl168_431
| spl168_429
| spl168_475
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47114,f38998,f38993,f38988,f38948,f47116,f46744,f46751]) ).
fof(f47116,plain,
( spl168_475
<=> ! [X96,X94,X95] :
( ~ r2_hidden(X94,k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X95),X96))
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(sK157)))
| r2_hidden(k1_funct_1(k2_funct_1(sK158),X94),k6_subset_1(u1_struct_0(sK156),X95,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X96)))
| ~ m1_subset_1(X94,u1_struct_0(sK157))
| ~ m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(sK156))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_475])]) ).
fof(f47114,plain,
( ! [X96,X94,X95] :
( ~ r2_hidden(X94,k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X95),X96))
| ~ m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X94,u1_struct_0(sK157))
| r2_hidden(k1_funct_1(k2_funct_1(sK158),X94),k6_subset_1(u1_struct_0(sK156),X95,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X96)))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47113,f39000]) ).
fof(f47113,plain,
( ! [X96,X94,X95] :
( r2_hidden(k1_funct_1(k2_funct_1(sK158),X94),k6_subset_1(u1_struct_0(sK156),X95,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X96)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(sK157)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(X94,k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X95),X96))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X94,u1_struct_0(sK157))
| ~ m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f47112,f38995]) ).
fof(f47112,plain,
( ! [X96,X94,X95] :
( r2_hidden(k1_funct_1(k2_funct_1(sK158),X94),k6_subset_1(u1_struct_0(sK156),X95,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X96)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X94,u1_struct_0(sK157))
| ~ m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v2_funct_1(sK158)
| ~ r2_hidden(X94,k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X95),X96))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46682,f38990]) ).
fof(f46682,plain,
( ! [X96,X94,X95] :
( ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_funct_1(sK158)
| r2_hidden(k1_funct_1(k2_funct_1(sK158),X94),k6_subset_1(u1_struct_0(sK156),X95,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X96)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X94,u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| ~ r2_hidden(X94,k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X95),X96)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37944]) ).
fof(f37944,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k1_funct_1(k2_funct_1(X2),X3),k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5)))
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X3,k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
| v1_xboole_0(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ v2_funct_1(X2) ),
inference(cnf_transformation,[],[f37328]) ).
fof(f37328,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
| r2_hidden(k1_funct_1(k2_funct_1(X2),X3),k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5))) ) )
| ~ m1_subset_1(X3,X1) )
| ~ m2_relset_1(X2,X0,X1)
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ) ) ),
inference(flattening,[],[f37327]) ).
fof(f37327,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(k1_funct_1(k2_funct_1(X2),X3),k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5)))
| ~ r2_hidden(X3,k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X3,X1) )
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16860]) ).
fof(f16860,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X0))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
=> ( r2_hidden(X3,k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
=> r2_hidden(k1_funct_1(k2_funct_1(X2),X3),k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_funct_7) ).
fof(f47111,plain,
( spl168_433
| spl168_474
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47107,f38998,f38988,f38948,f47109,f46764]) ).
fof(f47109,plain,
( spl168_474
<=> ! [X125,X126] :
( ~ v1_funct_1(X125)
| r1_tarski(k3_funct_2(np__0,u1_struct_0(sK156),X125,X126),k3_funct_2(np__0,u1_struct_0(sK157),k1_partfun1(np__0,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X125,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X126)))
| ~ v1_funct_2(X125,np__0,u1_struct_0(sK156))
| ~ m2_relset_1(X125,np__0,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_474])]) ).
fof(f47107,plain,
( ! [X126,X125] :
( ~ v1_funct_1(X125)
| ~ m2_relset_1(X125,np__0,u1_struct_0(sK156))
| ~ v1_funct_2(X125,np__0,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| r1_tarski(k3_funct_2(np__0,u1_struct_0(sK156),X125,X126),k3_funct_2(np__0,u1_struct_0(sK157),k1_partfun1(np__0,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X125,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X126))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47106,f39000]) ).
fof(f47106,plain,
( ! [X126,X125] :
( ~ m2_relset_1(X125,np__0,u1_struct_0(sK156))
| r1_tarski(k3_funct_2(np__0,u1_struct_0(sK156),X125,X126),k3_funct_2(np__0,u1_struct_0(sK157),k1_partfun1(np__0,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X125,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X126)))
| ~ v1_funct_2(X125,np__0,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(X125)
| sQ167_eqProxy(np__0,u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46703,f38990]) ).
fof(f46703,plain,
( ! [X126,X125] :
( ~ v1_funct_1(sK158)
| ~ m2_relset_1(X125,np__0,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| r1_tarski(k3_funct_2(np__0,u1_struct_0(sK156),X125,X126),k3_funct_2(np__0,u1_struct_0(sK157),k1_partfun1(np__0,u1_struct_0(sK156),u1_struct_0(sK156),u1_struct_0(sK157),X125,sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X126)))
| ~ v1_funct_2(X125,np__0,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(X125) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38615]) ).
fof(f38615,plain,
! [X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X5,X0,X3)
| ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_2(X1,np__0,X0)
| ~ v1_funct_1(X1)
| r1_tarski(k3_funct_2(np__0,X0,X1,X4),k3_funct_2(np__0,X3,k1_partfun1(np__0,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| sQ167_eqProxy(np__0,X3) ),
inference(equality_proxy_replacement,[],[f38499,f38579]) ).
fof(f38499,plain,
! [X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| np__0 = X3
| r1_tarski(k3_funct_2(np__0,X0,X1,X4),k3_funct_2(np__0,X3,k1_partfun1(np__0,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,np__0,X0) ),
inference(equality_resolution,[],[f38421]) ).
fof(f38421,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| np__0 = X3
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| np__0 != X2
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(definition_unfolding,[],[f37530,f38238,f38238]) ).
fof(f37530,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| k1_xboole_0 = X3
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| k1_xboole_0 != X2
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f37112]) ).
fof(f47074,plain,
( spl168_429
| spl168_473
| spl168_431
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47070,f38998,f38988,f38948,f46751,f47072,f46744]) ).
fof(f47072,plain,
( spl168_473
<=> ! [X89,X88,X90] :
( ~ m1_subset_1(X90,u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k6_domain_1(u1_struct_0(sK157),X90)),k3_funct_2(u1_struct_0(sK156),X88,k7_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X88,sK158,X89),k6_domain_1(X88,k8_funct_2(u1_struct_0(sK157),X88,X89,X90))))
| ~ v1_funct_2(X89,u1_struct_0(sK157),X88)
| ~ v1_funct_1(X89)
| v1_xboole_0(X88)
| ~ m2_relset_1(X89,u1_struct_0(sK157),X88) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_473])]) ).
fof(f47070,plain,
( ! [X90,X88,X89] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X90,u1_struct_0(sK157))
| ~ v1_funct_2(X89,u1_struct_0(sK157),X88)
| ~ m2_relset_1(X89,u1_struct_0(sK157),X88)
| v1_xboole_0(X88)
| ~ v1_funct_1(X89)
| v1_xboole_0(u1_struct_0(sK156))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k6_domain_1(u1_struct_0(sK157),X90)),k3_funct_2(u1_struct_0(sK156),X88,k7_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X88,sK158,X89),k6_domain_1(X88,k8_funct_2(u1_struct_0(sK157),X88,X89,X90)))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47069,f38990]) ).
fof(f47069,plain,
( ! [X90,X88,X89] :
( ~ m1_subset_1(X90,u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k6_domain_1(u1_struct_0(sK157),X90)),k3_funct_2(u1_struct_0(sK156),X88,k7_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X88,sK158,X89),k6_domain_1(X88,k8_funct_2(u1_struct_0(sK157),X88,X89,X90))))
| ~ v1_funct_2(X89,u1_struct_0(sK157),X88)
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(X89)
| v1_xboole_0(X88)
| ~ m2_relset_1(X89,u1_struct_0(sK157),X88) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46680,f39000]) ).
fof(f46680,plain,
( ! [X90,X88,X89] :
( v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(X89)
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k6_domain_1(u1_struct_0(sK157),X90)),k3_funct_2(u1_struct_0(sK156),X88,k7_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X88,sK158,X89),k6_domain_1(X88,k8_funct_2(u1_struct_0(sK157),X88,X89,X90))))
| ~ m2_relset_1(X89,u1_struct_0(sK157),X88)
| v1_xboole_0(X88)
| ~ v1_funct_2(X89,u1_struct_0(sK157),X88)
| ~ m1_subset_1(X90,u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37937]) ).
fof(f37937,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X5,X1,X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X5,X1,X2)
| r1_tarski(k3_funct_2(X0,X1,X4,k6_domain_1(X1,X3)),k3_funct_2(X0,X2,k7_funct_2(X0,X1,X2,X4,X5),k6_domain_1(X2,k8_funct_2(X1,X2,X5,X3))))
| ~ m2_relset_1(X4,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X5)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X1) ),
inference(cnf_transformation,[],[f37385]) ).
fof(f37385,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( r1_tarski(k3_funct_2(X0,X1,X4,k6_domain_1(X1,X3)),k3_funct_2(X0,X2,k7_funct_2(X0,X1,X2,X4,X5),k6_domain_1(X2,k8_funct_2(X1,X2,X5,X3))))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X2)
| ~ m2_relset_1(X5,X1,X2) )
| ~ v1_funct_2(X4,X0,X1) )
| ~ m1_subset_1(X3,X1) ) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37384]) ).
fof(f37384,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r1_tarski(k3_funct_2(X0,X1,X4,k6_domain_1(X1,X3)),k3_funct_2(X0,X2,k7_funct_2(X0,X1,X2,X4,X5),k6_domain_1(X2,k8_funct_2(X1,X2,X5,X3))))
| ~ v1_funct_2(X5,X1,X2)
| ~ m2_relset_1(X5,X1,X2)
| ~ v1_funct_1(X5) )
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1) )
| ~ m1_subset_1(X3,X1) )
| v1_xboole_0(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f26517]) ).
fof(f26517,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ! [X4] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1) )
=> ! [X5] :
( ( v1_funct_2(X5,X1,X2)
& m2_relset_1(X5,X1,X2)
& v1_funct_1(X5) )
=> r1_tarski(k3_funct_2(X0,X1,X4,k6_domain_1(X1,X3)),k3_funct_2(X0,X2,k7_funct_2(X0,X1,X2,X4,X5),k6_domain_1(X2,k8_funct_2(X1,X2,X5,X3)))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_borsuk_1) ).
fof(f47068,plain,
( spl168_431
| spl168_429
| spl168_472
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f47064,f38988,f38948,f47066,f46744,f46751]) ).
fof(f47066,plain,
( spl168_472
<=> ! [X109,X110] :
( r2_hidden(X109,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ sP24(X109,sK158,u1_struct_0(sK156),X110,u1_struct_0(sK157))
| ~ m1_subset_1(X109,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_472])]) ).
fof(f47064,plain,
( ! [X109,X110] :
( r2_hidden(X109,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X109,u1_struct_0(sK156))
| ~ sP24(X109,sK158,u1_struct_0(sK156),X110,u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110),k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46693,f38990]) ).
fof(f46693,plain,
( ! [X109,X110] :
( v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| r2_hidden(X109,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110))
| ~ m1_subset_1(X109,u1_struct_0(sK156))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X110),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ sP24(X109,sK158,u1_struct_0(sK156),X110,u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38515]) ).
fof(f38515,plain,
! [X2,X0,X1,X4,X5] :
( ~ m2_relset_1(X4,X2,X0)
| ~ m1_subset_1(X5,X2)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ sP24(X5,X4,X2,X1,X0)
| ~ m1_subset_1(k3_funct_2(X2,X0,X4,X1),k1_zfmisc_1(X2))
| r2_hidden(X5,k3_funct_2(X2,X0,X4,X1)) ),
inference(equality_resolution,[],[f37582]) ).
fof(f37582,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X4,X2,X0)
| k3_funct_2(X2,X0,X4,X1) != X3
| ~ m1_subset_1(X5,X2)
| r2_hidden(X5,X3)
| ~ sP24(X5,X4,X2,X1,X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37083]) ).
fof(f37083,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ! [X4] :
( ~ v1_funct_1(X4)
| ( ! [X5] :
( ( ( r2_hidden(k4_finseq_4(X2,X0,X4,X5),X1)
& r2_hidden(X5,k4_relset_1(X2,X0,X4)) )
<=> r2_hidden(X5,X3) )
| ~ m1_subset_1(X5,X2) )
<=> k3_funct_2(X2,X0,X4,X1) = X3 )
| ~ m2_relset_1(X4,X2,X0) ) )
| v1_xboole_0(X2) ) ),
inference(flattening,[],[f37082]) ).
fof(f37082,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X5] :
( ( ( r2_hidden(k4_finseq_4(X2,X0,X4,X5),X1)
& r2_hidden(X5,k4_relset_1(X2,X0,X4)) )
<=> r2_hidden(X5,X3) )
| ~ m1_subset_1(X5,X2) )
<=> k3_funct_2(X2,X0,X4,X1) = X3 )
| ~ m2_relset_1(X4,X2,X0)
| ~ v1_funct_1(X4) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| v1_xboole_0(X2) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f36673]) ).
fof(f36673,plain,
! [X1,X0] :
( ~ v1_xboole_0(X0)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,X0)
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X2)
=> ( ( r2_hidden(k4_finseq_4(X2,X0,X4,X5),X1)
& r2_hidden(X5,k4_relset_1(X2,X0,X4)) )
<=> r2_hidden(X5,X3) ) )
<=> k3_funct_2(X2,X0,X4,X1) = X3 ) ) ) ) ),
inference(rectify,[],[f10136]) ).
fof(f10136,axiom,
! [X1,X0] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X2))
=> ! [X4] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X2,X1) )
=> ( k3_funct_2(X2,X1,X4,X0) = X3
<=> ! [X5] :
( m1_subset_1(X5,X2)
=> ( ( r2_hidden(k4_finseq_4(X2,X1,X4,X5),X0)
& r2_hidden(X5,k4_relset_1(X2,X1,X4)) )
<=> r2_hidden(X5,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_partfun2) ).
fof(f47051,plain,
( spl168_433
| spl168_471
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47047,f38998,f38988,f38948,f47049,f46764]) ).
fof(f47049,plain,
( spl168_471
<=> ! [X121,X120,X119] :
( r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X120),k3_funct_2(u1_struct_0(sK156),X121,k1_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),u1_struct_0(sK157),X121,sK158,X119),k2_funct_2(u1_struct_0(sK157),X121,X119,X120)))
| ~ v1_funct_1(X119)
| ~ m2_relset_1(X119,u1_struct_0(sK157),X121)
| sQ167_eqProxy(np__0,X121)
| ~ v1_funct_2(X119,u1_struct_0(sK157),X121) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_471])]) ).
fof(f47047,plain,
( ! [X120,X121,X119] :
( r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X120),k3_funct_2(u1_struct_0(sK156),X121,k1_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),u1_struct_0(sK157),X121,sK158,X119),k2_funct_2(u1_struct_0(sK157),X121,X119,X120)))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(X119,u1_struct_0(sK157),X121)
| sQ167_eqProxy(np__0,X121)
| ~ m2_relset_1(X119,u1_struct_0(sK157),X121)
| ~ v1_funct_1(X119) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47046,f39000]) ).
fof(f47046,plain,
( ! [X120,X121,X119] :
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X120),k3_funct_2(u1_struct_0(sK156),X121,k1_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),u1_struct_0(sK157),X121,sK158,X119),k2_funct_2(u1_struct_0(sK157),X121,X119,X120)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(X119,u1_struct_0(sK157),X121)
| ~ m2_relset_1(X119,u1_struct_0(sK157),X121)
| sQ167_eqProxy(np__0,X121)
| ~ v1_funct_1(X119) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46701,f38990]) ).
fof(f46701,plain,
( ! [X120,X121,X119] :
( ~ v1_funct_2(X119,u1_struct_0(sK157),X121)
| sQ167_eqProxy(np__0,X121)
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X120),k3_funct_2(u1_struct_0(sK156),X121,k1_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),u1_struct_0(sK157),X121,sK158,X119),k2_funct_2(u1_struct_0(sK157),X121,X119,X120)))
| ~ m2_relset_1(X119,u1_struct_0(sK157),X121)
| ~ v1_funct_1(X119)
| sQ167_eqProxy(np__0,u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38614]) ).
fof(f47045,plain,
( spl168_431
| spl168_429
| spl168_470
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47041,f38998,f38993,f38988,f38948,f47043,f46744,f46751]) ).
fof(f47043,plain,
( spl168_470
<=> ! [X102,X103,X104] :
( r2_hidden(X103,k6_subset_1(u1_struct_0(sK156),X104,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X102)))
| ~ m1_subset_1(X103,u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X103),k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X104),X102))
| ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(sK157))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_470])]) ).
fof(f47041,plain,
( ! [X104,X102,X103] :
( r2_hidden(X103,k6_subset_1(u1_struct_0(sK156),X104,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X102)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X103),k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X104),X102))
| ~ m1_subset_1(X103,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47040,f39000]) ).
fof(f47040,plain,
( ! [X104,X102,X103] :
( v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X103),k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X104),X102))
| ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(sK156)))
| r2_hidden(X103,k6_subset_1(u1_struct_0(sK156),X104,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X102)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X103,u1_struct_0(sK156))
| ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f47039,f38995]) ).
fof(f47039,plain,
( ! [X104,X102,X103] :
( v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v2_funct_1(sK158)
| r2_hidden(X103,k6_subset_1(u1_struct_0(sK156),X104,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X102)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X103,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X103),k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X104),X102)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46690,f38990]) ).
fof(f46690,plain,
( ! [X104,X102,X103] :
( v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X103),k6_subset_1(u1_struct_0(sK157),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X104),X102))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X103,u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| r2_hidden(X103,k6_subset_1(u1_struct_0(sK156),X104,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X102)))
| ~ v2_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38182]) ).
fof(f38182,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ v2_funct_1(X2)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
| v1_xboole_0(X0)
| r2_hidden(X3,k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5)))
| ~ v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f37205]) ).
fof(f37205,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ! [X5] :
( r2_hidden(X3,k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5)) ) )
| ~ m1_subset_1(X3,X0) )
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2) ) ) ),
inference(flattening,[],[f37204]) ).
fof(f37204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X3,k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5)))
| ~ r2_hidden(k8_funct_2(X0,X1,X2,X3),k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X3,X0) )
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16859]) ).
fof(f16859,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X0))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
=> ( r2_hidden(k8_funct_2(X0,X1,X2,X3),k6_subset_1(X1,k2_funct_2(X0,X1,X2,X4),X5))
=> r2_hidden(X3,k6_subset_1(X0,X4,k3_funct_2(X0,X1,X2,X5))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_funct_7) ).
fof(f47038,plain,
( spl168_469
| spl168_431
| spl168_429
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f47034,f38998,f38993,f38988,f38948,f46744,f46751,f47036]) ).
fof(f47036,plain,
( spl168_469
<=> ! [X139,X140] :
( ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X140),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X139))
| sQ167_eqProxy(X140,X139)
| ~ m1_subset_1(X139,u1_struct_0(sK156))
| ~ m1_subset_1(X140,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_469])]) ).
fof(f47034,plain,
( ! [X140,X139] :
( v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X140),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X139))
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| ~ m1_subset_1(X139,u1_struct_0(sK156))
| sQ167_eqProxy(X140,X139) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47033,f38995]) ).
fof(f47033,plain,
( ! [X140,X139] :
( ~ m1_subset_1(X139,u1_struct_0(sK156))
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(X140,X139)
| ~ v2_funct_1(sK158)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X140),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X139)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47032,f38990]) ).
fof(f47032,plain,
( ! [X140,X139] :
( sQ167_eqProxy(X140,X139)
| ~ m1_subset_1(X139,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X140),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X139))
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v2_funct_1(sK158) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46713,f39000]) ).
fof(f46713,plain,
( ! [X140,X139] :
( ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X140),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X139))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| sQ167_eqProxy(X140,X139)
| ~ v2_funct_1(sK158)
| ~ m1_subset_1(X139,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38710]) ).
fof(f38710,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,X0)
| ~ v2_funct_1(X2)
| sQ167_eqProxy(X3,X4)
| v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ sQ167_eqProxy(k8_funct_2(X0,X1,X2,X3),k8_funct_2(X0,X1,X2,X4)) ),
inference(equality_proxy_replacement,[],[f37733,f38579,f38579]) ).
fof(f37733,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X0)
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| X3 = X4
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f36819]) ).
fof(f36819,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ( v2_funct_1(X2)
<=> ! [X3] :
( ! [X4] :
( X3 = X4
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| ~ m1_subset_1(X4,X0) )
| ~ m1_subset_1(X3,X0) ) )
| ~ m2_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f36818]) ).
fof(f36818,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X3] :
( ! [X4] :
( X3 = X4
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| ~ m1_subset_1(X4,X0) )
| ~ m1_subset_1(X3,X0) )
<=> v2_funct_1(X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f26897]) ).
fof(f26897,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ( k8_funct_2(X0,X1,X2,X3) = k8_funct_2(X0,X1,X2,X4)
=> X3 = X4 ) ) )
<=> v2_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_group_6) ).
fof(f47031,plain,
( ~ spl168_465
| ~ spl168_466
| ~ spl168_467
| spl168_468
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f47015,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38958,f38953,f38948,f47029,f47025,f47021,f47017]) ).
fof(f47029,plain,
( spl168_468
<=> ! [X27] :
( ~ m1_group_2(X27,sK156)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_group_1(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_468])]) ).
fof(f47015,plain,
( ! [X27] :
( ~ m1_group_2(X27,sK156)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_group_1(X27)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)))) )
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47014,f38955]) ).
fof(f47014,plain,
( ! [X27] :
( ~ m1_group_2(X27,sK156)
| ~ v4_group_1(sK157)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_group_1(X27)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47013,f39005]) ).
fof(f47013,plain,
( ! [X27] :
( ~ v3_group_1(sK157)
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_group_1(X27)
| ~ v4_group_1(sK157)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ m1_group_2(X27,sK156) )
| ~ spl168_1
| ~ spl168_3
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47012,f38970]) ).
fof(f47012,plain,
( ! [X27] :
( ~ v1_group_1(X27)
| v3_struct_0(sK157)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m1_group_2(X27,sK156)
| ~ v4_group_1(sK157)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f47011,f39010]) ).
fof(f47011,plain,
( ! [X27] :
( ~ m1_group_2(X27,sK156)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v4_group_1(sK157)
| ~ v1_group_1(X27)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v3_group_1(sK157)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f47010,f39000]) ).
fof(f47010,plain,
( ! [X27] :
( sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ m1_group_2(X27,sK156)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(X27)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK157)
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f47009,f38975]) ).
fof(f47009,plain,
( ! [X27] :
( ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK157)
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v4_group_1(sK157)
| ~ m1_group_2(X27,sK156)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_group_1(X27) )
| ~ spl168_1
| ~ spl168_3
| spl168_7
| ~ spl168_8
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f47008,f38990]) ).
fof(f47008,plain,
( ! [X27] :
( ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m1_group_2(X27,sK156)
| ~ v1_group_1(X27)
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v4_group_1(sK157)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47007,f38960]) ).
fof(f47007,plain,
( ! [X27] :
( ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v3_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK157)
| ~ v4_group_1(sK156)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK157)
| ~ m1_group_2(X27,sK156)
| ~ v1_group_1(X27)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157))) )
| ~ spl168_1
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f47006,f38980]) ).
fof(f47006,plain,
( ! [X27] :
( v3_struct_0(sK156)
| ~ v4_group_1(sK157)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X27,sK156)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v4_group_1(sK156)
| ~ v3_group_1(sK156)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ v1_group_1(X27) )
| ~ spl168_1
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f46634,f38985]) ).
fof(f46634,plain,
( ! [X27] :
( ~ l1_group_1(sK156)
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_group_2(X27,sK156)
| ~ m2_relset_1(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ l1_group_1(sK157)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(sK156,sK157,sK158),X27),k5_group_4(sK157,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(X27))))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK156)
| ~ v1_funct_2(k3_latsubgr(sK156,sK157,sK158),u1_struct_0(k11_group_4(sK156)),u1_struct_0(k11_group_4(sK157)))
| ~ v4_group_1(sK157)
| ~ v1_group_1(X27)
| ~ v1_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38646]) ).
fof(f38646,plain,
! [X2,X0,X1,X4] :
( ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ m1_group_2(X4,X0)
| v3_struct_0(X0)
| ~ v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ l1_group_1(X0)
| ~ v1_group_1(X4)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| sQ167_eqProxy(k1_funct_1(k3_latsubgr(X0,X1,X2),X4),k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2) ),
inference(equality_proxy_replacement,[],[f38520,f38579]) ).
fof(f38520,plain,
! [X2,X0,X1,X4] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_group_1(X4)
| k1_funct_1(k3_latsubgr(X0,X1,X2),X4) = k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f38519]) ).
fof(f38519,plain,
! [X2,X0,X1,X4,X5] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_group_1(X4)
| k5_group_4(X1,X5) = k1_funct_1(k3_latsubgr(X0,X1,X2),X4)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f37592]) ).
fof(f37592,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| k3_latsubgr(X0,X1,X2) != X3
| ~ v1_group_1(X4)
| k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37138]) ).
fof(f37138,plain,
! [X0] :
( ~ l1_group_1(X0)
| ! [X1] :
( ~ v3_group_1(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ! [X3] :
( ( ! [X4] :
( ~ m1_group_2(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| k1_funct_1(X3,X4) = k5_group_4(X1,X5) )
| ~ v1_group_1(X4) )
<=> k3_latsubgr(X0,X1,X2) = X3 )
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f37137]) ).
fof(f37137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_group_2(X4,X0)
| ~ v1_group_1(X4) )
<=> k3_latsubgr(X0,X1,X2) = X3 )
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36524]) ).
fof(f36524,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
=> ( ! [X4] :
( ( m1_group_2(X4,X0)
& v1_group_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
=> k1_funct_1(X3,X4) = k5_group_4(X1,X5) ) ) )
<=> k3_latsubgr(X0,X1,X2) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_latsubgr) ).
fof(f47003,plain,
( spl168_429
| spl168_431
| spl168_464
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46999,f38988,f38948,f47001,f46751,f46744]) ).
fof(f47001,plain,
( spl168_464
<=> ! [X60,X59] :
( ~ m1_subset_1(X60,u1_struct_0(sK156))
| r2_hidden(k4_tarski(X60,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X60)),sK158)
| ~ r2_hidden(X60,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X59))
| ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(sK157))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_464])]) ).
fof(f46999,plain,
( ! [X59,X60] :
( ~ m1_subset_1(X60,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(sK157)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(X60,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X59))
| r2_hidden(k4_tarski(X60,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X60)),sK158) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46656,f38990]) ).
fof(f46656,plain,
( ! [X59,X60] :
( ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(sK157)))
| r2_hidden(k4_tarski(X60,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X60)),sK158)
| ~ m1_subset_1(X60,u1_struct_0(sK156))
| ~ r2_hidden(X60,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X59))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37544]) ).
fof(f37544,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| ~ m2_relset_1(X4,X0,X1)
| v1_xboole_0(X1)
| r2_hidden(k4_tarski(X3,k4_finseq_4(X0,X1,X4,X3)),X4)
| ~ v1_funct_1(X4)
| ~ r2_hidden(X3,k3_funct_2(X0,X1,X4,X2))
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f37296]) ).
fof(f37296,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(k4_tarski(X3,k4_finseq_4(X0,X1,X4,X3)),X4)
& r2_hidden(k4_finseq_4(X0,X1,X4,X3),X2) )
<=> r2_hidden(X3,k3_funct_2(X0,X1,X4,X2)) )
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X1) ) ),
inference(flattening,[],[f37295]) ).
fof(f37295,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(k4_tarski(X3,k4_finseq_4(X0,X1,X4,X3)),X4)
& r2_hidden(k4_finseq_4(X0,X1,X4,X3),X2) )
<=> r2_hidden(X3,k3_funct_2(X0,X1,X4,X2)) )
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f10170]) ).
fof(f10170,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ( r2_hidden(k4_tarski(X3,k4_finseq_4(X0,X1,X4,X3)),X4)
& r2_hidden(k4_finseq_4(X0,X1,X4,X3),X2) )
<=> r2_hidden(X3,k3_funct_2(X0,X1,X4,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_partfun2) ).
fof(f46998,plain,
( spl168_433
| spl168_463
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46994,f38998,f38988,f38948,f46996,f46764]) ).
fof(f46996,plain,
( spl168_463
<=> ! [X157] :
( ~ r1_tarski(X157,u1_struct_0(sK156))
| r1_tarski(X157,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X157))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_463])]) ).
fof(f46994,plain,
( ! [X157] :
( ~ r1_tarski(X157,u1_struct_0(sK156))
| r1_tarski(X157,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X157)))
| sQ167_eqProxy(np__0,u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46993,f38990]) ).
fof(f46993,plain,
( ! [X157] :
( ~ v1_funct_1(sK158)
| r1_tarski(X157,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X157)))
| ~ r1_tarski(X157,u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46740,f39000]) ).
fof(f46740,plain,
( ! [X157] :
( r1_tarski(X157,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X157)))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ r1_tarski(X157,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38933]) ).
fof(f38933,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X0)
| sQ167_eqProxy(np__0,X2)
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1)))
| ~ v1_funct_2(X3,X0,X2) ),
inference(equality_proxy_replacement,[],[f38488,f38579]) ).
fof(f38488,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X1,X0)
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1)))
| np__0 = X2
| ~ v1_funct_2(X3,X0,X2)
| ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_1(X3) ),
inference(definition_unfolding,[],[f38394,f38238]) ).
fof(f38394,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X1,X0)
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1)))
| k1_xboole_0 = X2
| ~ v1_funct_2(X3,X0,X2)
| ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_1(X3) ),
inference(cnf_transformation,[],[f36953]) ).
fof(f36953,plain,
! [X3,X1,X0,X2] :
( ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_2(X3,X0,X2)
| ( k1_xboole_0 != X0
& k1_xboole_0 = X2 )
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1)))
| ~ r1_tarski(X1,X0) ),
inference(flattening,[],[f36952]) ).
fof(f36952,plain,
! [X1,X0,X2,X3] :
( ( k1_xboole_0 != X0
& k1_xboole_0 = X2 )
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1)))
| ~ r1_tarski(X1,X0)
| ~ v1_funct_2(X3,X0,X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X0,X2) ),
inference(ennf_transformation,[],[f36675]) ).
fof(f36675,plain,
! [X1,X0,X2,X3] :
( ( v1_funct_2(X3,X0,X2)
& v1_funct_1(X3)
& m2_relset_1(X3,X0,X2) )
=> ( r1_tarski(X1,X0)
=> ( ( k1_xboole_0 != X0
& k1_xboole_0 = X2 )
| r1_tarski(X1,k3_funct_2(X0,X2,X3,k2_funct_2(X0,X2,X3,X1))) ) ) ),
inference(rectify,[],[f1955]) ).
fof(f1955,axiom,
! [X0,X2,X1,X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1) )
=> ( r1_tarski(X2,X0)
=> ( ( k1_xboole_0 != X0
& k1_xboole_0 = X1 )
| r1_tarski(X2,k3_funct_2(X0,X1,X3,k2_funct_2(X0,X1,X3,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_funct_2) ).
fof(f46990,plain,
( spl168_431
| spl168_429
| spl168_462
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46986,f38988,f38948,f46988,f46744,f46751]) ).
fof(f46988,plain,
( spl168_462
<=> ! [X128,X127] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X127),X128)
| ~ m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(sK156)))
| m1_subset_1(sK23(u1_struct_0(sK157),X127,u1_struct_0(sK156),X128,sK158),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_462])]) ).
fof(f46986,plain,
( ! [X127,X128] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X127),X128)
| v1_xboole_0(u1_struct_0(sK156))
| m1_subset_1(sK23(u1_struct_0(sK157),X127,u1_struct_0(sK156),X128,sK158),u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46704,f38990]) ).
fof(f46704,plain,
( ! [X127,X128] :
( ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X127),X128)
| ~ m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(sK156)))
| m1_subset_1(sK23(u1_struct_0(sK157),X127,u1_struct_0(sK156),X128,sK158),u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38635]) ).
fof(f38635,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X4)
| sQ167_eqProxy(k3_funct_2(X2,X0,X4,X1),X3)
| ~ m2_relset_1(X4,X2,X0)
| v1_xboole_0(X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| m1_subset_1(sK23(X0,X1,X2,X3,X4),X2) ),
inference(equality_proxy_replacement,[],[f37585,f38579]) ).
fof(f37585,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X4,X2,X0)
| k3_funct_2(X2,X0,X4,X1) = X3
| m1_subset_1(sK23(X0,X1,X2,X3,X4),X2)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37083]) ).
fof(f46974,plain,
( spl168_461
| spl168_431
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46970,f38988,f38948,f46751,f46972]) ).
fof(f46972,plain,
( spl168_461
<=> ! [X130,X129] :
( ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ sP24(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),sK158,u1_struct_0(sK156),X129,u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X129),X130)
| ~ r2_hidden(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),X130) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_461])]) ).
fof(f46970,plain,
( ! [X130,X129] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r2_hidden(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),X130)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X129),X130)
| ~ sP24(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),sK158,u1_struct_0(sK156),X129,u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46969,f37849]) ).
fof(f37849,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f36982]) ).
fof(f36982,plain,
! [X2,X1,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f36551]) ).
fof(f36551,plain,
! [X1,X0,X2] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& v1_xboole_0(X0) ),
inference(rectify,[],[f679]) ).
fof(f679,axiom,
! [X2,X0,X1] :
~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f46969,plain,
( ! [X130,X129] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X129),X130)
| ~ sP24(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),sK158,u1_struct_0(sK156),X129,u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),X130)
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46705,f38990]) ).
fof(f46705,plain,
( ! [X130,X129] :
( ~ sP24(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),sK158,u1_struct_0(sK156),X129,u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X129),X130)
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(sK23(u1_struct_0(sK157),X129,u1_struct_0(sK156),X130,sK158),X130) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38636]) ).
fof(f38636,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X2)
| ~ r2_hidden(sK23(X0,X1,X2,X3,X4),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| sQ167_eqProxy(k3_funct_2(X2,X0,X4,X1),X3)
| ~ sP24(sK23(X0,X1,X2,X3,X4),X4,X2,X1,X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X2,X0) ),
inference(equality_proxy_replacement,[],[f37584,f38579]) ).
fof(f37584,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X4,X2,X0)
| k3_funct_2(X2,X0,X4,X1) = X3
| ~ r2_hidden(sK23(X0,X1,X2,X3,X4),X3)
| ~ sP24(sK23(X0,X1,X2,X3,X4),X4,X2,X1,X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37083]) ).
fof(f46968,plain,
( spl168_429
| spl168_431
| spl168_460
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46964,f38998,f38988,f38948,f46966,f46751,f46744]) ).
fof(f46966,plain,
( spl168_460
<=> ! [X72,X71] :
( ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(sK156)))
| r1_tarski(X72,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X71))
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X72),X71)
| ~ m1_subset_1(X71,k1_zfmisc_1(u1_struct_0(sK157))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_460])]) ).
fof(f46964,plain,
( ! [X72,X71] :
( ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X71,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X72),X71)
| r1_tarski(X72,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X71))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46963,f38990]) ).
fof(f46963,plain,
( ! [X72,X71] :
( r1_tarski(X72,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X71))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X72),X71)
| ~ m1_subset_1(X71,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_1(sK158) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46662,f39000]) ).
fof(f46662,plain,
( ! [X72,X71] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X72),X71)
| r1_tarski(X72,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X71))
| ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X71,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37654]) ).
fof(f37654,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r1_tarski(X3,k3_funct_2(X0,X1,X2,X4))
| ~ v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f37238]) ).
fof(f37238,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ! [X3] :
( ! [X4] :
( ( r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
<=> r1_tarski(X3,k3_funct_2(X0,X1,X2,X4)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ) ) ) ),
inference(flattening,[],[f37237]) ).
fof(f37237,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
<=> r1_tarski(X3,k3_funct_2(X0,X1,X2,X4)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28738]) ).
fof(f28738,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m2_relset_1(X2,X0,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ( r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
<=> r1_tarski(X3,k3_funct_2(X0,X1,X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tmap_1) ).
fof(f46962,plain,
( spl168_431
| spl168_429
| spl168_459
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46958,f38988,f38948,f46960,f46744,f46751]) ).
fof(f46960,plain,
( spl168_459
<=> ! [X57,X58] :
( ~ r2_hidden(X57,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X58))
| ~ m1_subset_1(X57,u1_struct_0(sK156))
| ~ m1_subset_1(X58,k1_zfmisc_1(u1_struct_0(sK157)))
| r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X57),X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_459])]) ).
fof(f46958,plain,
( ! [X58,X57] :
( ~ r2_hidden(X57,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X58))
| r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X57),X58)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X58,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X57,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46655,f38990]) ).
fof(f46655,plain,
( ! [X58,X57] :
( ~ m1_subset_1(X58,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ r2_hidden(X57,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X58))
| r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X57),X58)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X57,u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37543]) ).
fof(f37543,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k3_funct_2(X0,X1,X4,X2))
| v1_xboole_0(X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| r2_hidden(k4_finseq_4(X0,X1,X4,X3),X2) ),
inference(cnf_transformation,[],[f37296]) ).
fof(f46957,plain,
( spl168_431
| spl168_458
| spl168_429
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46953,f38988,f38948,f46744,f46955,f46751]) ).
fof(f46955,plain,
( spl168_458
<=> ! [X132,X131] :
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X132),X131)
| r2_hidden(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),X131)
| ~ m1_subset_1(X131,k1_zfmisc_1(u1_struct_0(sK156)))
| sP24(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),sK158,u1_struct_0(sK156),X132,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_458])]) ).
fof(f46953,plain,
( ! [X132,X131] :
( v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X132),X131)
| sP24(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),sK158,u1_struct_0(sK156),X132,u1_struct_0(sK157))
| ~ m1_subset_1(X131,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| r2_hidden(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),X131) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46706,f38990]) ).
fof(f46706,plain,
( ! [X132,X131] :
( v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X132),X131)
| v1_xboole_0(u1_struct_0(sK156))
| sP24(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),sK158,u1_struct_0(sK156),X132,u1_struct_0(sK157))
| r2_hidden(sK23(u1_struct_0(sK157),X132,u1_struct_0(sK156),X131,sK158),X131)
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X131,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38637]) ).
fof(f38637,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| r2_hidden(sK23(X0,X1,X2,X3,X4),X3)
| ~ m2_relset_1(X4,X2,X0)
| v1_xboole_0(X2)
| sP24(sK23(X0,X1,X2,X3,X4),X4,X2,X1,X0)
| v1_xboole_0(X0)
| sQ167_eqProxy(k3_funct_2(X2,X0,X4,X1),X3)
| ~ v1_funct_1(X4) ),
inference(equality_proxy_replacement,[],[f37583,f38579]) ).
fof(f37583,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X4,X2,X0)
| k3_funct_2(X2,X0,X4,X1) = X3
| r2_hidden(sK23(X0,X1,X2,X3,X4),X3)
| sP24(sK23(X0,X1,X2,X3,X4),X4,X2,X1,X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37083]) ).
fof(f46950,plain,
( spl168_431
| spl168_457
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46946,f38998,f38988,f38948,f46948,f46751]) ).
fof(f46948,plain,
( spl168_457
<=> ! [X82,X81] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X82)
| v1_funct_2(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X81,X82)
| ~ r1_tarski(X81,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_457])]) ).
fof(f46946,plain,
( ! [X82,X81] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X82)
| v1_xboole_0(u1_struct_0(sK157))
| ~ r1_tarski(X81,u1_struct_0(sK156))
| v1_funct_2(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X81,X82) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46945,f39000]) ).
fof(f46945,plain,
( ! [X82,X81] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ r1_tarski(X81,u1_struct_0(sK156))
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X82)
| v1_funct_2(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X81,X82)
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46675,f38990]) ).
fof(f46675,plain,
( ! [X82,X81] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X82)
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| v1_funct_2(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X81),X81,X82)
| ~ r1_tarski(X81,u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37852]) ).
fof(f37852,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(k2_funct_2(X2,X3,X4,X0),X1)
| ~ r1_tarski(X0,X2)
| ~ m2_relset_1(X4,X2,X3)
| v1_xboole_0(X3)
| ~ v1_funct_2(X4,X2,X3)
| ~ v1_funct_1(X4)
| v1_funct_2(k2_partfun1(X2,X3,X4,X0),X0,X1) ),
inference(cnf_transformation,[],[f36782]) ).
fof(f46942,plain,
( spl168_431
| spl168_456
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46938,f38998,f38988,f38948,f46940,f46751]) ).
fof(f46940,plain,
( spl168_456
<=> ! [X152,X151] :
( ~ m2_relset_1(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(X151)
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152))
| ~ m1_subset_1(X152,k5_finsub_1(u1_struct_0(sK156))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_456])]) ).
fof(f46938,plain,
( ! [X152,X151] :
( ~ m2_relset_1(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X152,k5_finsub_1(u1_struct_0(sK156)))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152))
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152))
| ~ v1_funct_1(X151)
| ~ v1_funct_2(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46937,f38990]) ).
fof(f46937,plain,
( ! [X152,X151] :
( ~ v1_funct_1(X151)
| ~ m1_subset_1(X152,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152))
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152))
| ~ m2_relset_1(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(X151,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46731,f39000]) ).
fof(f46731,plain,
( ! [X152,X151] :
( ~ v1_funct_2(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X152,k5_finsub_1(u1_struct_0(sK156)))
| ~ m2_relset_1(X151,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(X151)
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X151,X152),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X152)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38801]) ).
fof(f38801,plain,
! [X2,X3,X0,X1,X4] :
( sQ167_eqProxy(k2_funct_2(X0,X1,X2,X4),k2_funct_2(X0,X1,X3,X4))
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ sQ167_eqProxy(k2_partfun1(X0,X1,X3,X4),k2_partfun1(X0,X1,X2,X4))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(equality_proxy_replacement,[],[f38003,f38579,f38579]) ).
fof(f38003,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37339]) ).
fof(f37339,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| ! [X2] :
( ! [X3] :
( ! [X4] :
( k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4)
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X0)) )
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3) )
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2) ) ),
inference(flattening,[],[f37338]) ).
fof(f37338,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4)
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X0)) )
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1) )
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f22776]) ).
fof(f22776,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> ( k2_partfun1(X0,X1,X3,X4) = k2_partfun1(X0,X1,X2,X4)
=> k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lattice2) ).
fof(f46934,plain,
( spl168_429
| spl168_431
| spl168_455
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46930,f38998,f38988,f38948,f46932,f46751,f46744]) ).
fof(f46932,plain,
( spl168_455
<=> ! [X64,X63] :
( r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X63),X64)
| ~ m1_subset_1(X63,k5_finsub_1(u1_struct_0(sK156)))
| r2_hidden(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X63,X64,sK158),X63) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_455])]) ).
fof(f46930,plain,
( ! [X63,X64] :
( r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X63),X64)
| r2_hidden(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X63,X64,sK158),X63)
| ~ m1_subset_1(X63,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46929,f39000]) ).
fof(f46929,plain,
( ! [X63,X64] :
( r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X63),X64)
| r2_hidden(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X63,X64,sK158),X63)
| ~ m1_subset_1(X63,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46658,f38990]) ).
fof(f46658,plain,
( ! [X63,X64] :
( ~ m1_subset_1(X63,k5_finsub_1(u1_struct_0(sK156)))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X63),X64)
| r2_hidden(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X63,X64,sK158),X63)
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37613]) ).
fof(f37613,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X1)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ v1_funct_2(X4,X0,X1)
| r2_hidden(sK29(X0,X1,X2,X3,X4),X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37093]) ).
fof(f37093,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X4,X3] :
( ~ m2_relset_1(X4,X0,X1)
| ? [X5] :
( ~ r2_hidden(k8_funct_2(X0,X1,X4,X5),X3)
& m1_subset_1(X5,X0)
& r2_hidden(X5,X2) )
| ~ v1_funct_2(X4,X0,X1)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3)
| ~ v1_funct_1(X4) ) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37092]) ).
fof(f37092,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X4,X3] :
( r1_tarski(k2_funct_2(X0,X1,X4,X2),X3)
| ? [X5] :
( ~ r2_hidden(k8_funct_2(X0,X1,X4,X5),X3)
& r2_hidden(X5,X2)
& m1_subset_1(X5,X0) )
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1) )
| ~ m1_subset_1(X2,k5_finsub_1(X0)) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f3252]) ).
fof(f3252,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> ! [X4,X3] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X2)
=> r2_hidden(k8_funct_2(X0,X1,X4,X5),X3) ) )
=> r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_setwiseo) ).
fof(f46928,plain,
( spl168_431
| spl168_429
| spl168_454
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46924,f38998,f38988,f38948,f46926,f46744,f46751]) ).
fof(f46926,plain,
( spl168_454
<=> ! [X73] :
( r2_hidden(X73,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X73))))
| ~ m1_subset_1(X73,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_454])]) ).
fof(f46924,plain,
( ! [X73] :
( r2_hidden(X73,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X73))))
| ~ m1_subset_1(X73,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46923,f38990]) ).
fof(f46923,plain,
( ! [X73] :
( ~ m1_subset_1(X73,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| r2_hidden(X73,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X73)))) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46663,f39000]) ).
fof(f46663,plain,
( ! [X73] :
( ~ m1_subset_1(X73,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| r2_hidden(X73,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X73))))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37683]) ).
fof(f37683,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| ~ v1_funct_2(X2,X1,X0)
| r2_hidden(X3,k3_funct_2(X1,X0,X2,k1_tarski(k8_funct_2(X1,X0,X2,X3)))) ),
inference(cnf_transformation,[],[f37161]) ).
fof(f37161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( r2_hidden(X3,k3_funct_2(X1,X0,X2,k1_tarski(k8_funct_2(X1,X0,X2,X3))))
| ~ m1_subset_1(X3,X1) ) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37160]) ).
fof(f37160,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(X3,k3_funct_2(X1,X0,X2,k1_tarski(k8_funct_2(X1,X0,X2,X3))))
| ~ m1_subset_1(X3,X1) )
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f3249]) ).
fof(f3249,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_2(X2,X1,X0)
& v1_funct_1(X2)
& m2_relset_1(X2,X1,X0) )
=> ! [X3] :
( m1_subset_1(X3,X1)
=> r2_hidden(X3,k3_funct_2(X1,X0,X2,k1_tarski(k8_funct_2(X1,X0,X2,X3)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_setwiseo) ).
fof(f46922,plain,
( spl168_453
| spl168_433
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46917,f38998,f38988,f38948,f46764,f46919]) ).
fof(f46919,plain,
( spl168_453
<=> sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156))),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_453])]) ).
fof(f46917,plain,
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156))),u1_struct_0(sK156))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46916,f39000]) ).
fof(f46916,plain,
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156))),u1_struct_0(sK156))
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46735,f38990]) ).
fof(f46735,plain,
( ~ v1_funct_1(sK158)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156))),u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38835]) ).
fof(f38835,plain,
! [X2,X0,X1] :
( sQ167_eqProxy(k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)),X2)
| sQ167_eqProxy(np__0,X0)
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1) ),
inference(equality_proxy_replacement,[],[f38467,f38579,f38579]) ).
fof(f38467,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0)
| np__0 = X0
| k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)) = X2
| ~ v1_funct_1(X1) ),
inference(definition_unfolding,[],[f38094,f38238]) ).
fof(f38094,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0)
| k1_xboole_0 = X0
| k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)) = X2
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f37426]) ).
fof(f37426,plain,
! [X1,X2,X0] :
( ~ v1_funct_1(X1)
| k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)) = X2
| ( k1_xboole_0 = X0
& k1_xboole_0 != X2 )
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0) ),
inference(flattening,[],[f37425]) ).
fof(f37425,plain,
! [X2,X0,X1] :
( k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)) = X2
| ( k1_xboole_0 = X0
& k1_xboole_0 != X2 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0) ),
inference(ennf_transformation,[],[f36667]) ).
fof(f36667,plain,
! [X2,X0,X1] :
( ( v1_funct_1(X1)
& m2_relset_1(X1,X2,X0)
& v1_funct_2(X1,X2,X0) )
=> ( ( k1_xboole_0 = X0
=> k1_xboole_0 = X2 )
=> k3_funct_2(X2,X0,X1,k2_funct_2(X2,X0,X1,X2)) = X2 ) ),
inference(rectify,[],[f1956]) ).
fof(f1956,axiom,
! [X1,X2,X0] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) )
=> ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_funct_2) ).
fof(f46913,plain,
( spl168_431
| spl168_452
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46909,f38998,f38993,f38988,f38948,f46911,f46751]) ).
fof(f46911,plain,
( spl168_452
<=> ! [X75,X76] :
( ~ m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r1_tarski(X75,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X76))
| ~ m1_subset_1(X75,k1_zfmisc_1(u1_struct_0(sK157)))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X75),X76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_452])]) ).
fof(f46909,plain,
( ! [X76,X75] :
( ~ m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X75),X76)
| ~ m1_subset_1(X75,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ r1_tarski(X75,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X76)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46908,f38995]) ).
fof(f46908,plain,
( ! [X76,X75] :
( ~ m1_subset_1(X75,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(sK156)))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X75),X76)
| ~ v2_funct_1(sK158)
| ~ r1_tarski(X75,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X76))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46907,f38990]) ).
fof(f46907,plain,
( ! [X76,X75] :
( ~ v1_funct_1(sK158)
| ~ m1_subset_1(X75,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ r1_tarski(X75,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X76))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X75),X76)
| ~ v2_funct_1(sK158) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46668,f39000]) ).
fof(f46668,plain,
( ! [X76,X75] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| ~ r1_tarski(X75,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X76))
| v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X75),X76)
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X75,k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37813]) ).
fof(f37813,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X2,X1,X0)
| ~ r1_tarski(X4,k2_funct_2(X1,X0,X2,X3))
| v1_xboole_0(X0)
| r1_tarski(k3_funct_2(X1,X0,X2,X4),X3)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ v2_funct_1(X2) ),
inference(cnf_transformation,[],[f37017]) ).
fof(f37017,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k3_funct_2(X1,X0,X2,X4),X3)
| ~ r1_tarski(X4,k2_funct_2(X1,X0,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37016]) ).
fof(f37016,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k3_funct_2(X1,X0,X2,X4),X3)
| ~ r1_tarski(X4,k2_funct_2(X1,X0,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f36670]) ).
fof(f36670,plain,
! [X1,X0] :
( ~ v1_xboole_0(X0)
=> ! [X2] :
( ( m2_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0)
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X0))
=> ( r1_tarski(X4,k2_funct_2(X1,X0,X2,X3))
=> r1_tarski(k3_funct_2(X1,X0,X2,X4),X3) ) ) ) ) ) ),
inference(rectify,[],[f16857]) ).
fof(f16857,axiom,
! [X1,X0] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ( r1_tarski(X4,k2_funct_2(X0,X1,X2,X3))
=> r1_tarski(k3_funct_2(X0,X1,X2,X4),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_funct_7) ).
fof(f46906,plain,
( spl168_431
| spl168_451
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46902,f38998,f38988,f38948,f46904,f46751]) ).
fof(f46904,plain,
( spl168_451
<=> ! [X77,X78] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X78)
| m2_relset_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X77,X78)
| ~ r1_tarski(X77,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_451])]) ).
fof(f46902,plain,
( ! [X78,X77] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X78)
| ~ r1_tarski(X77,u1_struct_0(sK156))
| m2_relset_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X77,X78)
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46901,f39000]) ).
fof(f46901,plain,
( ! [X78,X77] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ r1_tarski(X77,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| m2_relset_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X77,X78)
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X78) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46673,f38990]) ).
fof(f46673,plain,
( ! [X78,X77] :
( ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ r1_tarski(X77,u1_struct_0(sK156))
| m2_relset_1(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X77,X78)
| ~ r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X77),X78) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37850]) ).
fof(f37850,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X0,X2)
| ~ m2_relset_1(X4,X2,X3)
| ~ v1_funct_2(X4,X2,X3)
| m2_relset_1(k2_partfun1(X2,X3,X4,X0),X0,X1)
| ~ r1_tarski(k2_funct_2(X2,X3,X4,X0),X1)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4) ),
inference(cnf_transformation,[],[f36782]) ).
fof(f46898,plain,
( spl168_429
| spl168_450
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46894,f38988,f38948,f46896,f46744]) ).
fof(f46896,plain,
( spl168_450
<=> ! [X55,X56] :
( ~ r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55),X56)
| ~ m1_subset_1(X55,u1_struct_0(sK156))
| r2_hidden(X55,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X56))
| ~ m1_subset_1(X56,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ r2_hidden(k4_tarski(X55,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55)),sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_450])]) ).
fof(f46894,plain,
( ! [X56,X55] :
( ~ r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55),X56)
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(k4_tarski(X55,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55)),sK158)
| ~ m1_subset_1(X56,k1_zfmisc_1(u1_struct_0(sK157)))
| r2_hidden(X55,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X56))
| ~ m1_subset_1(X55,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46893,f37849]) ).
fof(f46893,plain,
( ! [X56,X55] :
( ~ m1_subset_1(X55,u1_struct_0(sK156))
| r2_hidden(X55,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X56))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55),X56)
| ~ m1_subset_1(X56,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ r2_hidden(k4_tarski(X55,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55)),sK158)
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46654,f38990]) ).
fof(f46654,plain,
( ! [X56,X55] :
( ~ m1_subset_1(X55,u1_struct_0(sK156))
| r2_hidden(X55,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X56))
| ~ m1_subset_1(X56,k1_zfmisc_1(u1_struct_0(sK157)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| ~ r2_hidden(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55),X56)
| ~ r2_hidden(k4_tarski(X55,k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X55)),sK158)
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37542]) ).
fof(f37542,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,X0)
| v1_xboole_0(X1)
| ~ r2_hidden(k4_finseq_4(X0,X1,X4,X3),X2)
| ~ r2_hidden(k4_tarski(X3,k4_finseq_4(X0,X1,X4,X3)),X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X3,k3_funct_2(X0,X1,X4,X2)) ),
inference(cnf_transformation,[],[f37296]) ).
fof(f46880,plain,
( spl168_433
| spl168_449
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46876,f38998,f38988,f38948,f46878,f46764]) ).
fof(f46878,plain,
( spl168_449
<=> ! [X133] :
( r2_hidden(k1_funct_1(sK158,X133),u1_struct_0(sK157))
| ~ r2_hidden(X133,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_449])]) ).
fof(f46876,plain,
( ! [X133] :
( r2_hidden(k1_funct_1(sK158,X133),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ r2_hidden(X133,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46875,f38990]) ).
fof(f46875,plain,
( ! [X133] :
( r2_hidden(k1_funct_1(sK158,X133),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ r2_hidden(X133,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46707,f39000]) ).
fof(f46707,plain,
( ! [X133] :
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ r2_hidden(X133,u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| r2_hidden(k1_funct_1(sK158,X133),u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38691]) ).
fof(f38691,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k1_funct_1(X0,X1),X3)
| ~ v1_funct_2(X0,X2,X3)
| sQ167_eqProxy(np__0,X3)
| ~ v1_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f38438,f38579]) ).
fof(f38438,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),X3)
| ~ v1_funct_2(X0,X2,X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X2,X3)
| np__0 = X3
| ~ r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f37701,f38238]) ).
fof(f37701,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),X3)
| ~ v1_funct_2(X0,X2,X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X2,X3)
| k1_xboole_0 = X3
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f37008]) ).
fof(f37008,plain,
! [X1,X0,X3,X2] :
( ~ r2_hidden(X1,X2)
| k1_xboole_0 = X3
| ~ m2_relset_1(X0,X2,X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| r2_hidden(k1_funct_1(X0,X1),X3) ),
inference(flattening,[],[f37007]) ).
fof(f37007,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),X3)
| k1_xboole_0 = X3
| ~ r2_hidden(X1,X2)
| ~ v1_funct_2(X0,X2,X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X2,X3) ),
inference(ennf_transformation,[],[f36545]) ).
fof(f36545,plain,
! [X2,X3,X0,X1] :
( ( v1_funct_2(X0,X2,X3)
& v1_funct_1(X0)
& m2_relset_1(X0,X2,X3) )
=> ( r2_hidden(X1,X2)
=> ( r2_hidden(k1_funct_1(X0,X1),X3)
| k1_xboole_0 = X3 ) ) ),
inference(rectify,[],[f1911]) ).
fof(f1911,axiom,
! [X3,X2,X0,X1] :
( ( v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& m2_relset_1(X3,X0,X1) )
=> ( r2_hidden(X2,X0)
=> ( r2_hidden(k1_funct_1(X3,X2),X1)
| k1_xboole_0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_funct_2) ).
fof(f46874,plain,
( spl168_431
| spl168_448
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46870,f38998,f38988,f38948,f46872,f46751]) ).
fof(f46872,plain,
( spl168_448
<=> ! [X138] :
( ~ m1_subset_1(X138,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r2_hidden(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138),X138)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138)),X138) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_448])]) ).
fof(f46870,plain,
( ! [X138] :
( ~ m1_subset_1(X138,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138)),X138)
| ~ r2_hidden(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138),X138) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46869,f37849]) ).
fof(f46869,plain,
( ! [X138] :
( v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138)),X138)
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138),X138)
| ~ m1_subset_1(X138,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46868,f38990]) ).
fof(f46868,plain,
( ! [X138] :
( ~ v1_funct_1(sK158)
| ~ r2_hidden(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138),X138)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X138,k1_zfmisc_1(u1_struct_0(sK156)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138)),X138) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46712,f39000]) ).
fof(f46712,plain,
( ! [X138] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138)),X138)
| ~ r2_hidden(sK43(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X138),X138)
| ~ m1_subset_1(X138,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38702]) ).
fof(f38702,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ r2_hidden(sK43(X0,X1,X2,X3),X3)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1)
| sQ167_eqProxy(k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(equality_proxy_replacement,[],[f37716,f38579]) ).
fof(f37716,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r2_hidden(sK43(X0,X1,X2,X3),X3)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37440]) ).
fof(f46867,plain,
( spl168_431
| spl168_447
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46863,f38998,f38988,f38948,f46865,f46751]) ).
fof(f46865,plain,
( spl168_447
<=> ! [X150,X149] :
( sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149))
| ~ v1_funct_1(X150)
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149))
| ~ v1_funct_2(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X149,k5_finsub_1(u1_struct_0(sK156)))
| ~ m2_relset_1(X150,u1_struct_0(sK156),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_447])]) ).
fof(f46863,plain,
( ! [X150,X149] :
( sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149))
| ~ m2_relset_1(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X149,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_2(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149))
| ~ v1_funct_1(X150) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46862,f39000]) ).
fof(f46862,plain,
( ! [X150,X149] :
( ~ m1_subset_1(X149,k5_finsub_1(u1_struct_0(sK156)))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149))
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(X150)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m2_relset_1(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149))
| ~ v1_funct_2(X150,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46730,f38990]) ).
fof(f46730,plain,
( ! [X150,X149] :
( ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(X150)
| ~ v1_funct_2(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m2_relset_1(X150,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ sQ167_eqProxy(k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149),k2_partfun1(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149))
| sQ167_eqProxy(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X149),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),X150,X149))
| ~ m1_subset_1(X149,k5_finsub_1(u1_struct_0(sK156))) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38801]) ).
fof(f46861,plain,
( spl168_433
| spl168_446
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46856,f38998,f38988,f38948,f46858,f46764]) ).
fof(f46858,plain,
( spl168_446
<=> sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK157)),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_446])]) ).
fof(f46856,plain,
( sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK157)),u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46855,f39000]) ).
fof(f46855,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK157)),u1_struct_0(sK156))
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46721,f38990]) ).
fof(f46721,plain,
( ~ v1_funct_1(sK158)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK157)),u1_struct_0(sK156))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38739]) ).
fof(f38739,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| sQ167_eqProxy(np__0,X0)
| sQ167_eqProxy(k3_funct_2(X1,X0,X2,X0),X1)
| ~ v1_funct_1(X2) ),
inference(equality_proxy_replacement,[],[f38447,f38579,f38579]) ).
fof(f38447,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| np__0 = X0
| k3_funct_2(X1,X0,X2,X0) = X1 ),
inference(definition_unfolding,[],[f37845,f38238]) ).
fof(f37845,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| k1_xboole_0 = X0
| k3_funct_2(X1,X0,X2,X0) = X1 ),
inference(cnf_transformation,[],[f37051]) ).
fof(f37051,plain,
! [X2,X1,X0] :
( k3_funct_2(X1,X0,X2,X0) = X1
| ( k1_xboole_0 != X1
& k1_xboole_0 = X0 )
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f37050]) ).
fof(f37050,plain,
! [X0,X2,X1] :
( k3_funct_2(X1,X0,X2,X0) = X1
| ( k1_xboole_0 != X1
& k1_xboole_0 = X0 )
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0) ),
inference(ennf_transformation,[],[f36666]) ).
fof(f36666,plain,
! [X0,X2,X1] :
( ( m2_relset_1(X2,X1,X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X1,X0) )
=> ( ( k1_xboole_0 = X0
=> k1_xboole_0 = X1 )
=> k3_funct_2(X1,X0,X2,X0) = X1 ) ),
inference(rectify,[],[f1953]) ).
fof(f1953,axiom,
! [X1,X0,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m2_relset_1(X2,X0,X1) )
=> ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> k3_funct_2(X0,X1,X2,X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_funct_2) ).
fof(f46854,plain,
( spl168_431
| spl168_429
| spl168_445
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46850,f38998,f38988,f38948,f46852,f46744,f46751]) ).
fof(f46852,plain,
( spl168_445
<=> ! [X108,X107] :
( ~ m1_subset_1(X108,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r1_xboole_0(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X107),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X108))
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(sK156)))
| r1_xboole_0(X107,X108) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_445])]) ).
fof(f46850,plain,
( ! [X108,X107] :
( ~ m1_subset_1(X108,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| r1_xboole_0(X107,X108)
| v1_xboole_0(u1_struct_0(sK157))
| ~ r1_xboole_0(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X107),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X108)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46849,f39000]) ).
fof(f46849,plain,
( ! [X108,X107] :
( r1_xboole_0(X107,X108)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X108,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r1_xboole_0(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X107),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X108))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46692,f38990]) ).
fof(f46692,plain,
( ! [X108,X107] :
( r1_xboole_0(X107,X108)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X108,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ r1_xboole_0(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X107),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X108))
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38342]) ).
fof(f38342,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X0,X1)
| v1_xboole_0(X0)
| r1_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r1_xboole_0(k2_funct_2(X0,X1,X4,X2),k2_funct_2(X0,X1,X4,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37020]) ).
fof(f37020,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1_xboole_0(k2_funct_2(X0,X1,X4,X2),k2_funct_2(X0,X1,X4,X3))
| ~ v1_funct_2(X4,X0,X1)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4)
| r1_xboole_0(X2,X3) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f37019]) ).
fof(f37019,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r1_xboole_0(X2,X3)
| ~ r1_xboole_0(k2_funct_2(X0,X1,X4,X2),k2_funct_2(X0,X1,X4,X3))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f32381]) ).
fof(f32381,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1) )
=> ( r1_xboole_0(k2_funct_2(X0,X1,X4,X2),k2_funct_2(X0,X1,X4,X3))
=> r1_xboole_0(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boolmark) ).
fof(f46838,plain,
( spl168_429
| spl168_431
| spl168_444
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46834,f38998,f38988,f38948,f46836,f46751,f46744]) ).
fof(f46836,plain,
( spl168_444
<=> ! [X93,X92,X91] :
( r1_tarski(k3_funct_2(X91,u1_struct_0(sK156),X92,k6_domain_1(u1_struct_0(sK156),X93)),k3_funct_2(X91,u1_struct_0(sK157),k7_funct_2(X91,u1_struct_0(sK156),u1_struct_0(sK157),X92,sK158),k6_domain_1(u1_struct_0(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X93))))
| ~ m1_subset_1(X93,u1_struct_0(sK156))
| ~ v1_funct_2(X92,X91,u1_struct_0(sK156))
| ~ v1_funct_1(X92)
| ~ m2_relset_1(X92,X91,u1_struct_0(sK156))
| v1_xboole_0(X91) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_444])]) ).
fof(f46834,plain,
( ! [X91,X92,X93] :
( r1_tarski(k3_funct_2(X91,u1_struct_0(sK156),X92,k6_domain_1(u1_struct_0(sK156),X93)),k3_funct_2(X91,u1_struct_0(sK157),k7_funct_2(X91,u1_struct_0(sK156),u1_struct_0(sK157),X92,sK158),k6_domain_1(u1_struct_0(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X93))))
| v1_xboole_0(X91)
| v1_xboole_0(u1_struct_0(sK157))
| ~ m2_relset_1(X92,X91,u1_struct_0(sK156))
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,X91,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X93,u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46833,f39000]) ).
fof(f46833,plain,
( ! [X91,X92,X93] :
( v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k3_funct_2(X91,u1_struct_0(sK156),X92,k6_domain_1(u1_struct_0(sK156),X93)),k3_funct_2(X91,u1_struct_0(sK157),k7_funct_2(X91,u1_struct_0(sK156),u1_struct_0(sK157),X92,sK158),k6_domain_1(u1_struct_0(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X93))))
| ~ v1_funct_2(X92,X91,u1_struct_0(sK156))
| ~ v1_funct_1(X92)
| ~ m2_relset_1(X92,X91,u1_struct_0(sK156))
| ~ m1_subset_1(X93,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(X91)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46681,f38990]) ).
fof(f46681,plain,
( ! [X91,X92,X93] :
( ~ v1_funct_2(X92,X91,u1_struct_0(sK156))
| ~ m1_subset_1(X93,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(X91)
| ~ m2_relset_1(X92,X91,u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(X92)
| r1_tarski(k3_funct_2(X91,u1_struct_0(sK156),X92,k6_domain_1(u1_struct_0(sK156),X93)),k3_funct_2(X91,u1_struct_0(sK157),k7_funct_2(X91,u1_struct_0(sK156),u1_struct_0(sK157),X92,sK158),k6_domain_1(u1_struct_0(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X93))))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37937]) ).
fof(f46832,plain,
( spl168_431
| spl168_429
| spl168_443
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46828,f38998,f38988,f38948,f46830,f46744,f46751]) ).
fof(f46830,plain,
( spl168_443
<=> ! [X70,X69] :
( r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X69),X70)
| ~ r1_tarski(X69,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X70))
| ~ m1_subset_1(X69,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_subset_1(X70,k1_zfmisc_1(u1_struct_0(sK157))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_443])]) ).
fof(f46828,plain,
( ! [X70,X69] :
( r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X69),X70)
| ~ m1_subset_1(X70,k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_subset_1(X69,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r1_tarski(X69,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X70))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46827,f38990]) ).
fof(f46827,plain,
( ! [X70,X69] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ r1_tarski(X69,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X70))
| ~ m1_subset_1(X70,k1_zfmisc_1(u1_struct_0(sK157)))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X69),X70)
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X69,k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46661,f39000]) ).
fof(f46661,plain,
( ! [X70,X69] :
( ~ m1_subset_1(X69,k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r1_tarski(X69,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X70))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ m1_subset_1(X70,k1_zfmisc_1(u1_struct_0(sK157)))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X69),X70) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37653]) ).
fof(f37653,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X3,k3_funct_2(X0,X1,X2,X4))
| v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f37238]) ).
fof(f46826,plain,
( spl168_442
| spl168_429
| spl168_431
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46822,f38998,f38988,f38948,f46751,f46744,f46824]) ).
fof(f46824,plain,
( spl168_442
<=> ! [X137] :
( ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(sK156)))
| r2_hidden(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137),X137)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137)),X137) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_442])]) ).
fof(f46822,plain,
( ! [X137] :
( v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(sK156)))
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137)),X137)
| r2_hidden(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137),X137) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46821,f38990]) ).
fof(f46821,plain,
( ! [X137] :
( ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| r2_hidden(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137),X137)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137)),X137) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46711,f39000]) ).
fof(f46711,plain,
( ! [X137] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137)),X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(sK156)))
| r2_hidden(sK42(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X137),X137)
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38701]) ).
fof(f38701,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X1)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X0)
| r2_hidden(sK42(X0,X1,X2,X3),X3)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| sQ167_eqProxy(k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)),X3) ),
inference(equality_proxy_replacement,[],[f37717,f38579]) ).
fof(f37717,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,k2_funct_2(X0,X1,X2,X3)) = X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK42(X0,X1,X2,X3),X3)
| ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f37440]) ).
fof(f46820,plain,
( spl168_429
| spl168_431
| spl168_441
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46816,f38998,f38988,f38948,f46818,f46751,f46744]) ).
fof(f46818,plain,
( spl168_441
<=> ! [X68,X67] :
( ~ m1_subset_1(X67,k5_finsub_1(u1_struct_0(sK156)))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK29(u1_struct_0(sK156),u1_struct_0(sK157),X67,X68,sK158)),X68)
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X67),X68) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_441])]) ).
fof(f46816,plain,
( ! [X68,X67] :
( ~ m1_subset_1(X67,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X67),X68)
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK29(u1_struct_0(sK156),u1_struct_0(sK157),X67,X68,sK158)),X68) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46815,f38990]) ).
fof(f46815,plain,
( ! [X68,X67] :
( ~ m1_subset_1(X67,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X67),X68)
| ~ v1_funct_1(sK158)
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK29(u1_struct_0(sK156),u1_struct_0(sK157),X67,X68,sK158)),X68) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46660,f39000]) ).
fof(f46660,plain,
( ! [X68,X67] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ m1_subset_1(X67,k5_finsub_1(u1_struct_0(sK156)))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ r2_hidden(k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,sK29(u1_struct_0(sK156),u1_struct_0(sK157),X67,X68,sK158)),X68)
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X67),X68)
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37615]) ).
fof(f37615,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k8_funct_2(X0,X1,X4,sK29(X0,X1,X2,X3,X4)),X3)
| ~ m2_relset_1(X4,X0,X1)
| v1_xboole_0(X0)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4) ),
inference(cnf_transformation,[],[f37093]) ).
fof(f46814,plain,
( spl168_440
| spl168_436
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46809,f38998,f38988,f38948,f46783,f46811]) ).
fof(f46811,plain,
( spl168_440
<=> r2_hidden(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_440])]) ).
fof(f46783,plain,
( spl168_436
<=> sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_436])]) ).
fof(f46809,plain,
( sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| r2_hidden(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46808,f38990]) ).
fof(f46808,plain,
( sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| r2_hidden(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46722,f39000]) ).
fof(f46722,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| r2_hidden(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38755]) ).
fof(f38755,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X2,X0)
| r2_hidden(sK72(X0,X1,X2),X0)
| sQ167_eqProxy(k2_relat_1(X1),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(equality_proxy_replacement,[],[f37889,f38579]) ).
fof(f37889,plain,
! [X2,X0,X1] :
( r2_hidden(sK72(X0,X1,X2),X0)
| k2_relat_1(X1) = X0
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f37159]) ).
fof(f37159,plain,
! [X1,X0,X2] :
( ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,X0)
| ( k2_relat_1(X1) = X0
<=> ! [X3] :
( ~ r2_hidden(X3,X0)
| k1_xboole_0 != k3_funct_2(X2,X0,X1,k1_tarski(X3)) ) ) ),
inference(flattening,[],[f37158]) ).
fof(f37158,plain,
! [X0,X1,X2] :
( ( k2_relat_1(X1) = X0
<=> ! [X3] :
( ~ r2_hidden(X3,X0)
| k1_xboole_0 != k3_funct_2(X2,X0,X1,k1_tarski(X3)) ) )
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f36669]) ).
fof(f36669,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X1,X2,X0)
& v1_funct_2(X1,X2,X0)
& v1_funct_1(X1) )
=> ( ! [X3] :
~ ( k1_xboole_0 = k3_funct_2(X2,X0,X1,k1_tarski(X3))
& r2_hidden(X3,X0) )
<=> k2_relat_1(X1) = X0 ) ),
inference(rectify,[],[f1954]) ).
fof(f1954,axiom,
! [X1,X2,X0] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( ! [X3] :
~ ( r2_hidden(X3,X1)
& k1_xboole_0 = k3_funct_2(X0,X1,X2,k1_tarski(X3)) )
<=> k2_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_funct_2) ).
fof(f46807,plain,
( spl168_429
| spl168_431
| spl168_439
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f46803,f38993,f38988,f38948,f46805,f46751,f46744]) ).
fof(f46805,plain,
( spl168_439
<=> ! [X141,X142] :
( sQ167_eqProxy(X141,X142)
| ~ r2_hidden(X141,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| ~ r2_hidden(X142,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| ~ sQ167_eqProxy(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X141),k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X142)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_439])]) ).
fof(f46803,plain,
( ! [X142,X141] :
( sQ167_eqProxy(X141,X142)
| v1_xboole_0(u1_struct_0(sK157))
| ~ sQ167_eqProxy(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X141),k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X142))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(X142,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| ~ r2_hidden(X141,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f46802,f38995]) ).
fof(f46802,plain,
( ! [X142,X141] :
( ~ v2_funct_1(sK158)
| ~ r2_hidden(X141,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(X142,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| ~ sQ167_eqProxy(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X141),k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X142))
| v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(X141,X142) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46718,f38990]) ).
fof(f46718,plain,
( ! [X142,X141] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK156))
| sQ167_eqProxy(X141,X142)
| ~ v2_funct_1(sK158)
| ~ sQ167_eqProxy(k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X141),k4_finseq_4(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X142))
| ~ r2_hidden(X141,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158))
| ~ r2_hidden(X142,k4_relset_1(u1_struct_0(sK156),u1_struct_0(sK157),sK158)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38731]) ).
fof(f38731,plain,
! [X2,X3,X0,X1,X4] :
( ~ sQ167_eqProxy(k4_finseq_4(X0,X3,X4,X1),k4_finseq_4(X0,X3,X4,X2))
| ~ r2_hidden(X2,k4_relset_1(X0,X3,X4))
| v1_xboole_0(X0)
| ~ r2_hidden(X1,k4_relset_1(X0,X3,X4))
| ~ v2_funct_1(X4)
| sQ167_eqProxy(X1,X2)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X3)
| v1_xboole_0(X3) ),
inference(equality_proxy_replacement,[],[f37812,f38579,f38579]) ).
fof(f37812,plain,
! [X2,X3,X0,X1,X4] :
( X1 = X2
| ~ r2_hidden(X2,k4_relset_1(X0,X3,X4))
| ~ v2_funct_1(X4)
| ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r2_hidden(X1,k4_relset_1(X0,X3,X4))
| k4_finseq_4(X0,X3,X4,X1) != k4_finseq_4(X0,X3,X4,X2)
| v1_xboole_0(X3)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37231]) ).
fof(f37231,plain,
! [X1,X0,X2] :
( v1_xboole_0(X0)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( k4_finseq_4(X0,X3,X4,X1) != k4_finseq_4(X0,X3,X4,X2)
| ~ r2_hidden(X1,k4_relset_1(X0,X3,X4))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,X0,X3)
| ~ v2_funct_1(X4)
| ~ r2_hidden(X2,k4_relset_1(X0,X3,X4))
| X1 = X2 ) ) ),
inference(flattening,[],[f37230]) ).
fof(f37230,plain,
! [X1,X2,X0] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| ~ r2_hidden(X2,k4_relset_1(X0,X3,X4))
| k4_finseq_4(X0,X3,X4,X1) != k4_finseq_4(X0,X3,X4,X2)
| ~ r2_hidden(X1,k4_relset_1(X0,X3,X4))
| ~ v2_funct_1(X4)
| ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_1(X4) )
| v1_xboole_0(X3) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f36538]) ).
fof(f36538,plain,
! [X1,X2,X0] :
( ~ v1_xboole_0(X0)
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,X0,X3)
& v1_funct_1(X4) )
=> ( ( r2_hidden(X2,k4_relset_1(X0,X3,X4))
& k4_finseq_4(X0,X3,X4,X1) = k4_finseq_4(X0,X3,X4,X2)
& r2_hidden(X1,k4_relset_1(X0,X3,X4))
& v2_funct_1(X4) )
=> X1 = X2 ) ) ) ),
inference(rectify,[],[f10109]) ).
fof(f10109,axiom,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( v1_funct_1(X4)
& m2_relset_1(X4,X2,X3) )
=> ( ( r2_hidden(X1,k4_relset_1(X2,X3,X4))
& k4_finseq_4(X2,X3,X4,X0) = k4_finseq_4(X2,X3,X4,X1)
& v2_funct_1(X4)
& r2_hidden(X0,k4_relset_1(X2,X3,X4)) )
=> X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_partfun2) ).
fof(f46801,plain,
( spl168_433
| spl168_438
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46797,f38998,f38988,f38948,f46799,f46764]) ).
fof(f46799,plain,
( spl168_438
<=> ! [X143] :
( ~ r1_tarski(u1_struct_0(sK157),X143)
| v1_funct_2(sK158,u1_struct_0(sK156),X143) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_438])]) ).
fof(f46797,plain,
( ! [X143] :
( ~ r1_tarski(u1_struct_0(sK157),X143)
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| v1_funct_2(sK158,u1_struct_0(sK156),X143) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46796,f38990]) ).
fof(f46796,plain,
( ! [X143] :
( v1_funct_2(sK158,u1_struct_0(sK156),X143)
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ r1_tarski(u1_struct_0(sK157),X143) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46724,f39000]) ).
fof(f46724,plain,
( ! [X143] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ r1_tarski(u1_struct_0(sK157),X143)
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v1_funct_2(sK158,u1_struct_0(sK156),X143) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38769]) ).
fof(f38769,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X3,X2)
| ~ v1_funct_1(X1)
| sQ167_eqProxy(np__0,X2)
| v1_funct_2(X1,X3,X0)
| ~ v1_funct_2(X1,X3,X2)
| ~ r1_tarski(X2,X0) ),
inference(equality_proxy_replacement,[],[f38453,f38579]) ).
fof(f38453,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X2)
| v1_funct_2(X1,X3,X0)
| np__0 = X2
| ~ v1_funct_2(X1,X3,X2)
| ~ r1_tarski(X2,X0) ),
inference(definition_unfolding,[],[f37916,f38238]) ).
fof(f37916,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X2)
| v1_funct_2(X1,X3,X0)
| k1_xboole_0 = X2
| ~ v1_funct_2(X1,X3,X2)
| ~ r1_tarski(X2,X0) ),
inference(cnf_transformation,[],[f37411]) ).
fof(f37411,plain,
! [X3,X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ v1_funct_2(X1,X3,X2)
| ( k1_xboole_0 = X2
& k1_xboole_0 != X3 )
| ( v1_funct_1(X1)
& m2_relset_1(X1,X3,X0)
& v1_funct_2(X1,X3,X0) )
| ~ m2_relset_1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f37410]) ).
fof(f37410,plain,
! [X1,X2,X3,X0] :
( ( v1_funct_1(X1)
& m2_relset_1(X1,X3,X0)
& v1_funct_2(X1,X3,X0) )
| ( k1_xboole_0 = X2
& k1_xboole_0 != X3 )
| ~ r1_tarski(X2,X0)
| ~ v1_funct_2(X1,X3,X2)
| ~ m2_relset_1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f36649]) ).
fof(f36649,plain,
! [X1,X2,X3,X0] :
( ( v1_funct_2(X1,X3,X2)
& m2_relset_1(X1,X3,X2)
& v1_funct_1(X1) )
=> ( r1_tarski(X2,X0)
=> ( ( v1_funct_1(X1)
& m2_relset_1(X1,X3,X0)
& v1_funct_2(X1,X3,X0) )
| ( k1_xboole_0 = X2
& k1_xboole_0 != X3 ) ) ) ),
inference(rectify,[],[f1913]) ).
fof(f1913,axiom,
! [X2,X3,X1,X0] :
( ( v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X1,X2)
=> ( ( k1_xboole_0 = X1
& k1_xboole_0 != X0 )
| ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f46793,plain,
( spl168_431
| spl168_437
| ~ spl168_1
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f46789,f38988,f38948,f46791,f46751]) ).
fof(f46791,plain,
( spl168_437
<=> ! [X112,X111] :
( sP24(X112,sK158,u1_struct_0(sK156),X111,u1_struct_0(sK157))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r2_hidden(X112,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_437])]) ).
fof(f46789,plain,
( ! [X111,X112] :
( sP24(X112,sK158,u1_struct_0(sK156),X111,u1_struct_0(sK157))
| ~ r2_hidden(X112,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111),k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46788,f37849]) ).
fof(f46788,plain,
( ! [X111,X112] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ r2_hidden(X112,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111))
| sP24(X112,sK158,u1_struct_0(sK156),X111,u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46787,f37871]) ).
fof(f37871,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f36923]) ).
fof(f36923,plain,
! [X2,X1,X0] :
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f36922]) ).
fof(f36922,plain,
! [X2,X0,X1] :
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f36552]) ).
fof(f36552,plain,
! [X2,X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X2))
& r2_hidden(X1,X0) )
=> m1_subset_1(X1,X2) ),
inference(rectify,[],[f678]) ).
fof(f678,axiom,
! [X1,X0,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f46787,plain,
( ! [X111,X112] :
( v1_xboole_0(u1_struct_0(sK157))
| ~ m1_subset_1(X112,u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| ~ r2_hidden(X112,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111))
| sP24(X112,sK158,u1_struct_0(sK156),X111,u1_struct_0(sK157))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111),k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46694,f38990]) ).
fof(f46694,plain,
( ! [X111,X112] :
( ~ m1_subset_1(X112,u1_struct_0(sK156))
| sP24(X112,sK158,u1_struct_0(sK156),X111,u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| ~ r2_hidden(X112,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111))
| ~ m1_subset_1(k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X111),k1_zfmisc_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38516]) ).
fof(f38516,plain,
! [X2,X0,X1,X4,X5] :
( ~ m1_subset_1(k3_funct_2(X2,X0,X4,X1),k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| sP24(X5,X4,X2,X1,X0)
| ~ m2_relset_1(X4,X2,X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,X2)
| v1_xboole_0(X0)
| ~ r2_hidden(X5,k3_funct_2(X2,X0,X4,X1)) ),
inference(equality_resolution,[],[f37581]) ).
fof(f37581,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X4,X2,X0)
| k3_funct_2(X2,X0,X4,X1) != X3
| ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| sP24(X5,X4,X2,X1,X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f37083]) ).
fof(f46786,plain,
( spl168_435
| spl168_436
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46777,f38998,f38988,f38948,f46783,f46779]) ).
fof(f46779,plain,
( spl168_435
<=> sQ167_eqProxy(np__0,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_435])]) ).
fof(f46777,plain,
( sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)))))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46776,f38990]) ).
fof(f46776,plain,
( sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(np__0,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)))))
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46723,f39000]) ).
fof(f46723,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,k3_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k1_tarski(sK72(u1_struct_0(sK157),sK158,u1_struct_0(sK156)))))
| sQ167_eqProxy(k2_relat_1(sK158),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38756]) ).
fof(f38756,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| sQ167_eqProxy(np__0,k3_funct_2(X2,X0,X1,k1_tarski(sK72(X0,X1,X2))))
| sQ167_eqProxy(k2_relat_1(X1),X0)
| ~ v1_funct_2(X1,X2,X0) ),
inference(equality_proxy_replacement,[],[f38450,f38579,f38579]) ).
fof(f38450,plain,
! [X2,X0,X1] :
( np__0 = k3_funct_2(X2,X0,X1,k1_tarski(sK72(X0,X1,X2)))
| k2_relat_1(X1) = X0
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(definition_unfolding,[],[f37888,f38238]) ).
fof(f37888,plain,
! [X2,X0,X1] :
( k1_xboole_0 = k3_funct_2(X2,X0,X1,k1_tarski(sK72(X0,X1,X2)))
| k2_relat_1(X1) = X0
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f37159]) ).
fof(f46773,plain,
( spl168_429
| spl168_431
| spl168_434
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46769,f38998,f38988,f38948,f46771,f46751,f46744]) ).
fof(f46771,plain,
( spl168_434
<=> ! [X66,X65] :
( ~ m1_subset_1(X65,k5_finsub_1(u1_struct_0(sK156)))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X65),X66)
| m1_subset_1(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X65,X66,sK158),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_434])]) ).
fof(f46769,plain,
( ! [X65,X66] :
( ~ m1_subset_1(X65,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK157))
| m1_subset_1(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X65,X66,sK158),u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X65),X66) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46768,f38990]) ).
fof(f46768,plain,
( ! [X65,X66] :
( ~ m1_subset_1(X65,k5_finsub_1(u1_struct_0(sK156)))
| m1_subset_1(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X65,X66,sK158),u1_struct_0(sK156))
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158)
| v1_xboole_0(u1_struct_0(sK157))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X65),X66) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46659,f39000]) ).
fof(f46659,plain,
( ! [X65,X66] :
( v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X65,k5_finsub_1(u1_struct_0(sK156)))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| m1_subset_1(sK29(u1_struct_0(sK156),u1_struct_0(sK157),X65,X66,sK158),u1_struct_0(sK156))
| r1_tarski(k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X65),X66) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f37614]) ).
fof(f37614,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X4)
| m1_subset_1(sK29(X0,X1,X2,X3,X4),X0)
| ~ m2_relset_1(X4,X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ v1_funct_2(X4,X0,X1)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f37093]) ).
fof(f46767,plain,
( spl168_432
| spl168_433
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46758,f38998,f38988,f38948,f46764,f46760]) ).
fof(f46760,plain,
( spl168_432
<=> sQ167_eqProxy(k2_relat_1(sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_432])]) ).
fof(f46758,plain,
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sQ167_eqProxy(k2_relat_1(sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156)))
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46757,f39000]) ).
fof(f46757,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sQ167_eqProxy(k2_relat_1(sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156)))
| ~ spl168_1
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46739,f38990]) ).
fof(f46739,plain,
( sQ167_eqProxy(np__0,u1_struct_0(sK157))
| sQ167_eqProxy(k2_relat_1(sK158),k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,u1_struct_0(sK156)))
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38905]) ).
fof(f38905,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1)
| ~ v1_funct_1(X0)
| sQ167_eqProxy(np__0,X1)
| sQ167_eqProxy(k2_relat_1(X0),k2_funct_2(X2,X1,X0,X2)) ),
inference(equality_proxy_replacement,[],[f38480,f38579,f38579]) ).
fof(f38480,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X2,X1)
| ~ v1_funct_2(X0,X2,X1)
| k2_relat_1(X0) = k2_funct_2(X2,X1,X0,X2)
| ~ v1_funct_1(X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f38281,f38238]) ).
fof(f38281,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X2,X1)
| ~ v1_funct_2(X0,X2,X1)
| k2_relat_1(X0) = k2_funct_2(X2,X1,X0,X2)
| ~ v1_funct_1(X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f36738]) ).
fof(f36738,plain,
! [X2,X0,X1] :
( ( k1_xboole_0 = X1
& k1_xboole_0 != X2 )
| ~ v1_funct_1(X0)
| k2_relat_1(X0) = k2_funct_2(X2,X1,X0,X2)
| ~ v1_funct_2(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1) ),
inference(flattening,[],[f36737]) ).
fof(f36737,plain,
! [X2,X1,X0] :
( k2_relat_1(X0) = k2_funct_2(X2,X1,X0,X2)
| ( k1_xboole_0 = X1
& k1_xboole_0 != X2 )
| ~ v1_funct_2(X0,X2,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X2,X1) ),
inference(ennf_transformation,[],[f36576]) ).
fof(f36576,plain,
! [X2,X1,X0] :
( ( v1_funct_2(X0,X2,X1)
& v1_funct_1(X0)
& m2_relset_1(X0,X2,X1) )
=> ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X2 )
=> k2_relat_1(X0) = k2_funct_2(X2,X1,X0,X2) ) ),
inference(rectify,[],[f1950]) ).
fof(f1950,axiom,
! [X2,X1,X0] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m2_relset_1(X2,X0,X1) )
=> ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> k2_relat_1(X2) = k2_funct_2(X0,X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_funct_2) ).
fof(f46754,plain,
( spl168_429
| spl168_430
| spl168_431
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(avatar_split_clause,[],[f46742,f38998,f38988,f38948,f46751,f46748,f46744]) ).
fof(f46748,plain,
( spl168_430
<=> ! [X156] :
( sQ167_eqProxy(np__0,X156)
| ~ m1_subset_1(X156,k5_finsub_1(u1_struct_0(sK156)))
| ~ sQ167_eqProxy(np__0,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_430])]) ).
fof(f46742,plain,
( ! [X156] :
( v1_xboole_0(u1_struct_0(sK157))
| sQ167_eqProxy(np__0,X156)
| ~ sQ167_eqProxy(np__0,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X156))
| ~ m1_subset_1(X156,k5_finsub_1(u1_struct_0(sK156)))
| v1_xboole_0(u1_struct_0(sK156)) )
| ~ spl168_1
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46741,f38990]) ).
fof(f46741,plain,
( ! [X156] :
( v1_xboole_0(u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK156))
| ~ m1_subset_1(X156,k5_finsub_1(u1_struct_0(sK156)))
| ~ sQ167_eqProxy(np__0,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X156))
| sQ167_eqProxy(np__0,X156)
| ~ v1_funct_1(sK158) )
| ~ spl168_1
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46738,f39000]) ).
fof(f46738,plain,
( ! [X156] :
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v1_xboole_0(u1_struct_0(sK157))
| ~ sQ167_eqProxy(np__0,k2_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,X156))
| ~ m1_subset_1(X156,k5_finsub_1(u1_struct_0(sK156)))
| sQ167_eqProxy(np__0,X156)
| v1_xboole_0(u1_struct_0(sK156))
| ~ v1_funct_1(sK158) )
| ~ spl168_1 ),
inference(resolution,[],[f38950,f38894]) ).
fof(f38894,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ sQ167_eqProxy(np__0,k2_funct_2(X1,X0,X2,X3))
| sQ167_eqProxy(np__0,X3)
| ~ m2_relset_1(X2,X1,X0)
| v1_xboole_0(X0) ),
inference(equality_proxy_replacement,[],[f38479,f38579,f38579]) ).
fof(f38479,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_2(X2,X1,X0)
| np__0 = X3
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| np__0 != k2_funct_2(X1,X0,X2,X3)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ),
inference(definition_unfolding,[],[f38237,f38238,f38238]) ).
fof(f38237,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_2(X2,X1,X0)
| k1_xboole_0 = X3
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f36740]) ).
fof(f36740,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X1,X0)
| ! [X3] :
( k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| k1_xboole_0 = X3 )
| ~ v1_funct_2(X2,X1,X0) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f36739]) ).
fof(f36739,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_xboole_0 = X3
| k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1)) )
| ~ v1_funct_2(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f3256]) ).
fof(f3256,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v1_funct_2(X2,X1,X0)
& m2_relset_1(X2,X1,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ( k1_xboole_0 = k2_funct_2(X1,X0,X2,X3)
=> k1_xboole_0 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_setwiseo) ).
fof(f46600,plain,
( spl168_428
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f46595,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38963,f38958,f38953,f38948,f46597]) ).
fof(f46597,plain,
( spl168_428
<=> sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_428])]) ).
fof(f38963,plain,
( spl168_4
<=> v1_group_6(sK158,sK156,sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_4])]) ).
fof(f46595,plain,
( sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46594,f38950]) ).
fof(f46594,plain,
( sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46593,f38960]) ).
fof(f46593,plain,
( sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ v3_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_2
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46592,f38980]) ).
fof(f46592,plain,
( v3_struct_0(sK156)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK156)
| ~ spl168_2
| ~ spl168_4
| spl168_5
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46591,f38990]) ).
fof(f46591,plain,
( ~ v1_funct_1(sK158)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ v3_group_1(sK156)
| ~ spl168_2
| ~ spl168_4
| spl168_5
| ~ spl168_6
| ~ spl168_8
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46590,f38975]) ).
fof(f46590,plain,
( ~ v4_group_1(sK156)
| ~ v3_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| v3_struct_0(sK156)
| ~ spl168_2
| ~ spl168_4
| spl168_5
| ~ spl168_8
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46589,f38970]) ).
fof(f46589,plain,
( sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| v3_struct_0(sK157)
| ~ v4_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_2
| ~ spl168_4
| ~ spl168_8
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46588,f39010]) ).
fof(f46588,plain,
( ~ l1_group_1(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| v3_struct_0(sK157)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ v3_group_1(sK156)
| ~ spl168_2
| ~ spl168_4
| ~ spl168_8
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46587,f38985]) ).
fof(f46587,plain,
( ~ l1_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| ~ v3_group_1(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| v3_struct_0(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_2
| ~ spl168_4
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46586,f38955]) ).
fof(f46586,plain,
( ~ v4_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| v3_struct_0(sK157)
| v3_struct_0(sK156)
| ~ spl168_4
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46585,f39005]) ).
fof(f46585,plain,
( ~ v3_group_1(sK157)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ l1_group_1(sK157)
| ~ v4_group_1(sK156)
| ~ v3_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_4
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46319,f39000]) ).
fof(f46319,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK156)
| sQ167_eqProxy(k2_group_1(sK157),k8_funct_2(u1_struct_0(sK156),u1_struct_0(sK157),sK158,k2_group_1(sK156)))
| ~ l1_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ l1_group_1(sK157)
| v3_struct_0(sK156)
| ~ v4_group_1(sK157)
| ~ v4_group_1(sK156)
| ~ spl168_4 ),
inference(resolution,[],[f38965,f38825]) ).
fof(f38825,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X1)
| sQ167_eqProxy(k2_group_1(X1),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)))
| ~ l1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| v3_struct_0(X1) ),
inference(equality_proxy_replacement,[],[f38071,f38579]) ).
fof(f38071,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1) ),
inference(cnf_transformation,[],[f37134]) ).
fof(f37134,plain,
! [X0] :
( ! [X1] :
( ~ v3_group_1(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1) )
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37133]) ).
fof(f37133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26942]) ).
fof(f26942,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1) )
=> ! [X2] :
( ( v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_group_6) ).
fof(f38965,plain,
( v1_group_6(sK158,sK156,sK157)
| ~ spl168_4 ),
inference(avatar_component_clause,[],[f38963]) ).
fof(f46573,plain,
( spl168_427
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f46568,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38963,f38958,f38953,f38948,f46570]) ).
fof(f46568,plain,
( m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46567,f39000]) ).
fof(f46567,plain,
( m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46566,f38985]) ).
fof(f46566,plain,
( ~ l1_group_1(sK156)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46565,f38950]) ).
fof(f46565,plain,
( ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK156)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46564,f38955]) ).
fof(f46564,plain,
( ~ v4_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46563,f38990]) ).
fof(f46563,plain,
( ~ v1_funct_1(sK158)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK157)
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46562,f39005]) ).
fof(f46562,plain,
( m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK156)
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46561,f38970]) ).
fof(f46561,plain,
( v3_struct_0(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK156)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| spl168_7
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46560,f39010]) ).
fof(f46560,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK157)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_1(sK158)
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f46559,f38980]) ).
fof(f46559,plain,
( v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK157)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f46558,f38975]) ).
fof(f46558,plain,
( m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v4_group_1(sK157)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| ~ v3_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_3
| ~ spl168_4 ),
inference(subsumption_resolution,[],[f46314,f38960]) ).
fof(f46314,plain,
( ~ v3_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ v3_group_1(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ l1_group_1(sK157)
| m4_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v3_struct_0(sK157)
| ~ spl168_4 ),
inference(resolution,[],[f38965,f38303]) ).
fof(f38303,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| v3_struct_0(X0)
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f37091]) ).
fof(f37091,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_1(X2)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v4_group_1(X1) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37090]) ).
fof(f37090,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f36529]) ).
fof(f36529,axiom,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( v1_group_6(X2,X0,X1)
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(f46545,plain,
( spl168_426
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f46540,f39008,f39003,f38998,f38993,f38988,f38983,f38978,f38973,f38968,f38963,f38958,f38953,f38948,f46542]) ).
fof(f46542,plain,
( spl168_426
<=> v2_funct_1(k3_latsubgr(sK156,sK157,sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_426])]) ).
fof(f46540,plain,
( v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46539,f38970]) ).
fof(f46539,plain,
( v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46538,f39010]) ).
fof(f46538,plain,
( v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46537,f38980]) ).
fof(f46537,plain,
( v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK156)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46536,f39005]) ).
fof(f46536,plain,
( ~ v3_group_1(sK157)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46535,f38950]) ).
fof(f46535,plain,
( ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK157)
| v3_struct_0(sK156)
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46534,f38995]) ).
fof(f46534,plain,
( ~ v2_funct_1(sK158)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ l1_group_1(sK157)
| v3_struct_0(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46533,f38960]) ).
fof(f46533,plain,
( ~ v3_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ v2_funct_1(sK158)
| ~ v3_group_1(sK157)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11 ),
inference(subsumption_resolution,[],[f46532,f39000]) ).
fof(f46532,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| ~ spl168_2
| ~ spl168_4
| ~ spl168_6
| ~ spl168_8
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46531,f38975]) ).
fof(f46531,plain,
( ~ v4_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| ~ l1_group_1(sK157)
| v3_struct_0(sK156)
| v3_struct_0(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ spl168_2
| ~ spl168_4
| ~ spl168_8
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46530,f38955]) ).
fof(f46530,plain,
( ~ v4_group_1(sK157)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| v3_struct_0(sK157)
| ~ v2_funct_1(sK158)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| v3_struct_0(sK156)
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_4
| ~ spl168_8
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46529,f38985]) ).
fof(f46529,plain,
( ~ l1_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v2_funct_1(sK158)
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ v4_group_1(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ spl168_4
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f46310,f38990]) ).
fof(f46310,plain,
( ~ v1_funct_1(sK158)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v2_funct_1(sK158)
| ~ l1_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v2_funct_1(k3_latsubgr(sK156,sK157,sK158))
| ~ v4_group_1(sK157)
| v3_struct_0(sK156)
| ~ spl168_4 ),
inference(resolution,[],[f38965,f38187]) ).
fof(f38187,plain,
! [X2,X0,X1] :
( v3_struct_0(X1)
| v2_funct_1(k3_latsubgr(X0,X1,X2))
| ~ v1_group_6(X2,X0,X1)
| ~ v4_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37419]) ).
fof(f37419,plain,
! [X0] :
( ~ v3_group_1(X0)
| ! [X1] :
( ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| v2_funct_1(k3_latsubgr(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37418]) ).
fof(f37418,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v2_funct_1(k3_latsubgr(X0,X1,X2))
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_1(X2) )
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36526]) ).
fof(f36526,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
=> v2_funct_1(k3_latsubgr(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_latsubgr) ).
fof(f46495,plain,
( spl168_425
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f46490,f39008,f39003,f38998,f38993,f38988,f38983,f38978,f38973,f38968,f38963,f38958,f38953,f38948,f46492]) ).
fof(f46490,plain,
( m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46489,f38975]) ).
fof(f46489,plain,
( m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v4_group_1(sK156)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_10
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46488,f38995]) ).
fof(f46488,plain,
( ~ v2_funct_1(sK158)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v4_group_1(sK156)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46487,f39000]) ).
fof(f46487,plain,
( m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| ~ v4_group_1(sK156)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46486,f39010]) ).
fof(f46486,plain,
( ~ l1_group_1(sK157)
| ~ v2_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v4_group_1(sK156)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46485,f38990]) ).
fof(f46485,plain,
( ~ v1_funct_1(sK158)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v2_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ v4_group_1(sK156)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| spl168_7
| ~ spl168_8
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46484,f38970]) ).
fof(f46484,plain,
( v3_struct_0(sK157)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_1(sK158)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v2_funct_1(sK158)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_7
| ~ spl168_8
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46483,f38980]) ).
fof(f46483,plain,
( v3_struct_0(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_1(sK158)
| v3_struct_0(sK157)
| ~ v4_group_1(sK156)
| ~ v2_funct_1(sK158)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_8
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46482,f39005]) ).
fof(f46482,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v2_funct_1(sK158)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f46481,f38960]) ).
fof(f46481,plain,
( ~ v3_group_1(sK156)
| ~ v2_funct_1(sK158)
| v3_struct_0(sK156)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ v4_group_1(sK156)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_4
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f46480,f38950]) ).
fof(f46480,plain,
( ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| v3_struct_0(sK157)
| ~ v2_funct_1(sK158)
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK156)
| ~ v3_group_1(sK157)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_4
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f46479,f38955]) ).
fof(f46479,plain,
( ~ v4_group_1(sK157)
| v3_struct_0(sK157)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ v2_funct_1(sK158)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ v3_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK157)
| ~ spl168_4
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f46313,f38985]) ).
fof(f46313,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| m3_vectsp_8(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK156)
| ~ v2_funct_1(sK158)
| ~ v4_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| v3_struct_0(sK156)
| ~ spl168_4 ),
inference(resolution,[],[f38965,f38203]) ).
fof(f38203,plain,
! [X2,X0,X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v4_group_1(X1)
| ~ v2_funct_1(X2)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f37062]) ).
fof(f37062,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v4_group_1(X1) )
| ~ v4_group_1(X0) ),
inference(flattening,[],[f37061]) ).
fof(f37061,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36528]) ).
fof(f36528,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_funct_1(X2)
=> m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(f46371,plain,
( spl168_424
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f46366,f39008,f39003,f38998,f38988,f38983,f38978,f38973,f38968,f38963,f38958,f38953,f38948,f46368]) ).
fof(f46368,plain,
( spl168_424
<=> sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_424])]) ).
fof(f46366,plain,
( sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f46365,f39010]) ).
fof(f46365,plain,
( sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_8
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46364,f38985]) ).
fof(f46364,plain,
( ~ l1_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK157)
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_11
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46363,f39000]) ).
fof(f46363,plain,
( ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ l1_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ spl168_1
| ~ spl168_2
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46362,f38955]) ).
fof(f46362,plain,
( ~ v4_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_1
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_9
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46361,f38990]) ).
fof(f46361,plain,
( ~ v1_funct_1(sK158)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK156)
| ~ l1_group_1(sK157)
| ~ v4_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| spl168_7
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46360,f38980]) ).
fof(f46360,plain,
( v3_struct_0(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK157)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK157)
| ~ spl168_1
| ~ spl168_3
| ~ spl168_4
| spl168_5
| ~ spl168_6
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46359,f38970]) ).
fof(f46359,plain,
( v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ v1_funct_1(sK158)
| v3_struct_0(sK156)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK156)
| ~ spl168_1
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f46358,f39005]) ).
fof(f46358,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ v4_group_1(sK157)
| ~ v1_funct_1(sK158)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ l1_group_1(sK157)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ spl168_1
| ~ spl168_3
| ~ spl168_4
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f46357,f38960]) ).
fof(f46357,plain,
( ~ v3_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| v3_struct_0(sK156)
| ~ l1_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v1_funct_1(sK158)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK156)
| ~ spl168_1
| ~ spl168_4
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f46356,f38950]) ).
fof(f46356,plain,
( ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| v3_struct_0(sK157)
| ~ v3_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ v1_funct_1(sK158)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ spl168_4
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f46322,f38975]) ).
fof(f46322,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ v1_funct_1(sK158)
| ~ v3_group_1(sK156)
| ~ v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ l1_group_1(sK156)
| ~ v3_group_1(sK157)
| sQ167_eqProxy(k5_group_2(sK157),k1_funct_1(k3_latsubgr(sK156,sK157,sK158),k5_group_2(sK156)))
| ~ m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157))
| ~ v4_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_4 ),
inference(resolution,[],[f38965,f38918]) ).
fof(f38918,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v3_group_1(X0)
| ~ v4_group_1(X1)
| ~ v1_group_6(X2,X0,X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| sQ167_eqProxy(k5_group_2(X1),k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(X0) ),
inference(equality_proxy_replacement,[],[f38348,f38579]) ).
fof(f38348,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X2)
| k5_group_2(X1) = k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37294]) ).
fof(f37294,plain,
! [X0] :
( ~ v4_group_1(X0)
| ! [X1] :
( ! [X2] :
( ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k5_group_2(X1) = k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
| ~ v1_funct_1(X2) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37293]) ).
fof(f37293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_group_2(X1) = k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36527]) ).
fof(f36527,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k5_group_2(X1) = k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_latsubgr) ).
fof(f45550,plain,
( ~ spl168_354
| spl168_423
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45546,f38988,f45548,f45189]) ).
fof(f45189,plain,
( spl168_354
<=> v1_relat_1(sK158) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_354])]) ).
fof(f45548,plain,
( spl168_423
<=> ! [X321,X320] :
( ~ v1_funct_1(X320)
| ~ v1_relat_1(X320)
| sQ167_eqProxy(k1_funct_1(sK158,X321),k1_funct_1(k3_xboole_0(X320,sK158),X321))
| ~ r2_hidden(X321,k1_relat_1(k3_xboole_0(X320,sK158))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_423])]) ).
fof(f45546,plain,
( ! [X321,X320] :
( ~ v1_funct_1(X320)
| ~ r2_hidden(X321,k1_relat_1(k3_xboole_0(X320,sK158)))
| sQ167_eqProxy(k1_funct_1(sK158,X321),k1_funct_1(k3_xboole_0(X320,sK158),X321))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X320) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45545,f37822]) ).
fof(f37822,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| v1_funct_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f36894]) ).
fof(f36894,plain,
! [X1,X0] :
( ( v1_funct_1(k3_xboole_0(X0,X1))
& v1_relat_1(k3_xboole_0(X0,X1)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f36893]) ).
fof(f36893,plain,
! [X0,X1] :
( ( v1_funct_1(k3_xboole_0(X0,X1))
& v1_relat_1(k3_xboole_0(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f36611]) ).
fof(f36611,plain,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k3_xboole_0(X0,X1))
& v1_relat_1(k3_xboole_0(X0,X1)) ) ),
inference(rectify,[],[f1136]) ).
fof(f1136,axiom,
! [X1,X0] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(k3_xboole_0(X1,X0))
& v1_funct_1(k3_xboole_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_grfunc_1) ).
fof(f45545,plain,
( ! [X321,X320] :
( ~ r2_hidden(X321,k1_relat_1(k3_xboole_0(X320,sK158)))
| ~ v1_relat_1(X320)
| ~ v1_funct_1(X320)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k3_xboole_0(X320,sK158))
| sQ167_eqProxy(k1_funct_1(sK158,X321),k1_funct_1(k3_xboole_0(X320,sK158),X321)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45044,f37986]) ).
fof(f37986,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f36800]) ).
fof(f36800,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f36799]) ).
fof(f36799,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X1,X0))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f36606]) ).
fof(f36606,plain,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k3_xboole_0(X1,X0)) ),
inference(rectify,[],[f681]) ).
fof(f681,axiom,
! [X1,X0] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_relat_1) ).
fof(f45044,plain,
( ! [X321,X320] :
( ~ v1_relat_1(sK158)
| ~ v1_relat_1(X320)
| ~ v1_funct_1(X320)
| ~ v1_relat_1(k3_xboole_0(X320,sK158))
| ~ r2_hidden(X321,k1_relat_1(k3_xboole_0(X320,sK158)))
| sQ167_eqProxy(k1_funct_1(sK158,X321),k1_funct_1(k3_xboole_0(X320,sK158),X321))
| ~ v1_funct_1(k3_xboole_0(X320,sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38612]) ).
fof(f38612,plain,
! [X2,X3,X0] :
( ~ v1_funct_1(X3)
| ~ v1_funct_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(k3_xboole_0(X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k3_xboole_0(X2,X3)))
| ~ v1_relat_1(X3)
| sQ167_eqProxy(k1_funct_1(X3,X0),k1_funct_1(k3_xboole_0(X2,X3),X0)) ),
inference(equality_proxy_replacement,[],[f38497,f38579]) ).
fof(f38497,plain,
! [X2,X3,X0] :
( ~ v1_funct_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k3_xboole_0(X2,X3)))
| ~ v1_relat_1(X3)
| k1_funct_1(X3,X0) = k1_funct_1(k3_xboole_0(X2,X3),X0)
| ~ v1_funct_1(X3) ),
inference(equality_resolution,[],[f37528]) ).
fof(f37528,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X3)
| k1_funct_1(X1,X0) = k1_funct_1(X3,X0)
| ~ v1_funct_1(X3)
| k3_xboole_0(X2,X3) != X1 ),
inference(cnf_transformation,[],[f36813]) ).
fof(f36813,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( k3_xboole_0(X2,X3) != X1
| ~ v1_funct_1(X3)
| ( k1_funct_1(X1,X0) = k1_funct_1(X3,X0)
& k1_funct_1(X2,X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X3)
| ~ r2_hidden(X0,k1_relat_1(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f36812]) ).
fof(f36812,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X3,X0)
& k1_funct_1(X2,X0) = k1_funct_1(X1,X0) )
| ~ r2_hidden(X0,k1_relat_1(X1))
| k3_xboole_0(X2,X3) != X1
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1138]) ).
fof(f1138,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( ( r2_hidden(X0,k1_relat_1(X1))
& k3_xboole_0(X2,X3) = X1 )
=> ( k1_funct_1(X1,X0) = k1_funct_1(X3,X0)
& k1_funct_1(X2,X0) = k1_funct_1(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_grfunc_1) ).
fof(f45543,plain,
( ~ spl168_354
| spl168_422
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45539,f38993,f38988,f45541,f45189]) ).
fof(f45541,plain,
( spl168_422
<=> ! [X293] :
( ~ r1_xboole_0(k2_relat_1(X293),k2_relat_1(sK158))
| ~ v1_funct_1(k2_xboole_0(X293,sK158))
| ~ v2_funct_1(X293)
| ~ v1_funct_1(X293)
| ~ v1_relat_1(X293)
| v2_funct_1(k2_xboole_0(X293,sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_422])]) ).
fof(f45539,plain,
( ! [X293] :
( ~ r1_xboole_0(k2_relat_1(X293),k2_relat_1(sK158))
| v2_funct_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(X293)
| ~ v1_funct_1(X293)
| ~ v2_funct_1(X293)
| ~ v1_funct_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45538,f37815]) ).
fof(f37815,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| v1_relat_1(k2_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f36915]) ).
fof(f36915,plain,
! [X1,X0] :
( v1_relat_1(k2_xboole_0(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f36914]) ).
fof(f36914,plain,
! [X1,X0] :
( v1_relat_1(k2_xboole_0(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f36638]) ).
fof(f36638,plain,
! [X1,X0] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k2_xboole_0(X1,X0)) ),
inference(rectify,[],[f682]) ).
fof(f682,axiom,
! [X1,X0] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_relat_1) ).
fof(f45538,plain,
( ! [X293] :
( ~ v1_funct_1(k2_xboole_0(X293,sK158))
| ~ v2_funct_1(X293)
| ~ v1_relat_1(sK158)
| v2_funct_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(X293)
| ~ r1_xboole_0(k2_relat_1(X293),k2_relat_1(sK158))
| ~ v1_funct_1(X293) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45032,f38995]) ).
fof(f45032,plain,
( ! [X293] :
( ~ r1_xboole_0(k2_relat_1(X293),k2_relat_1(sK158))
| ~ v2_funct_1(sK158)
| v2_funct_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(k2_xboole_0(X293,sK158))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(X293,sK158))
| ~ v2_funct_1(X293)
| ~ v1_relat_1(X293)
| ~ v1_funct_1(X293) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38547]) ).
fof(f38547,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| v2_funct_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v1_funct_1(k2_xboole_0(X0,X1))
| ~ r1_xboole_0(k2_relat_1(X0),k2_relat_1(X1))
| ~ v2_funct_1(X0) ),
inference(equality_resolution,[],[f37979]) ).
fof(f37979,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| v2_funct_1(X2)
| k2_xboole_0(X0,X1) != X2
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X2)
| ~ r1_xboole_0(k2_relat_1(X0),k2_relat_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37229]) ).
fof(f37229,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ! [X2] :
( ~ v2_funct_1(X1)
| ~ r1_xboole_0(k2_relat_1(X0),k2_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X0)
| k2_xboole_0(X0,X1) != X2
| v2_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f37228]) ).
fof(f37228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v2_funct_1(X2)
| ~ v2_funct_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),k2_relat_1(X1))
| ~ v2_funct_1(X1)
| k2_xboole_0(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1146]) ).
fof(f1146,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( ( v2_funct_1(X0)
& r1_xboole_0(k2_relat_1(X0),k2_relat_1(X1))
& v2_funct_1(X1)
& k2_xboole_0(X0,X1) = X2 )
=> v2_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_grfunc_1) ).
fof(f45537,plain,
( spl168_403
| spl168_421
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45140,f38988,f45533,f45443]) ).
fof(f45443,plain,
( spl168_403
<=> ! [X399] : ~ m2_relset_1(sK158,np__0,X399) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_403])]) ).
fof(f45533,plain,
( spl168_421
<=> sQ167_eqProxy(np__0,sK158) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_421])]) ).
fof(f45140,plain,
( ! [X549] :
( sQ167_eqProxy(np__0,sK158)
| ~ m2_relset_1(sK158,np__0,X549) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38796]) ).
fof(f38796,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| sQ167_eqProxy(np__0,X1) ),
inference(equality_proxy_replacement,[],[f38463,f38579]) ).
fof(f38463,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f37997,f38238,f38238]) ).
fof(f37997,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f36984]) ).
fof(f36984,plain,
! [X1,X0] :
( k1_xboole_0 = X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_xboole_0,X0) ),
inference(flattening,[],[f36983]) ).
fof(f36983,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_xboole_0,X0) ),
inference(ennf_transformation,[],[f1573]) ).
fof(f1573,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& m2_relset_1(X1,k1_xboole_0,X0) )
=> k1_xboole_0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_partfun1) ).
fof(f45536,plain,
( spl168_421
| spl168_396
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45042,f38988,f45410,f45533]) ).
fof(f45410,plain,
( spl168_396
<=> ! [X409] : ~ m2_relset_1(sK158,X409,np__0) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_396])]) ).
fof(f45042,plain,
( ! [X317] :
( ~ m2_relset_1(sK158,X317,np__0)
| sQ167_eqProxy(np__0,sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38605]) ).
fof(f38605,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X0,np__0)
| sQ167_eqProxy(np__0,X1) ),
inference(equality_proxy_replacement,[],[f38413,f38579]) ).
fof(f38413,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f37508,f38238,f38238]) ).
fof(f37508,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f36970]) ).
fof(f36970,plain,
! [X1,X0] :
( k1_xboole_0 = X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X0,k1_xboole_0) ),
inference(flattening,[],[f36969]) ).
fof(f36969,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1580]) ).
fof(f1580,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,k1_xboole_0)
& v1_funct_1(X1) )
=> k1_xboole_0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_partfun1) ).
fof(f45530,plain,
( ~ spl168_354
| spl168_420
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44935,f38988,f45528,f45189]) ).
fof(f45528,plain,
( spl168_420
<=> ! [X81] :
( ~ v1_funct_1(X81)
| ~ v1_relat_1(X81)
| sP40(sK39(sK158,X81),X81,sK158)
| v1_relat_1(sK38(sK158,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_420])]) ).
fof(f44935,plain,
( ! [X81] :
( ~ v1_funct_1(X81)
| v1_relat_1(sK38(sK158,X81))
| ~ v1_relat_1(sK158)
| sP40(sK39(sK158,X81),X81,sK158)
| ~ v1_relat_1(X81) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37709]) ).
fof(f37709,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(sK38(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| sP40(sK39(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f37368]) ).
fof(f37368,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( k1_funct_1(X0,X2) != k1_funct_1(X1,X2)
& r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) )
| ~ v1_relat_1(X1)
| ? [X3] :
( v1_relat_1(X3)
& v1_funct_1(X3)
& k2_xboole_0(X0,X1) = X3 )
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37367]) ).
fof(f37367,plain,
! [X0] :
( ! [X1] :
( ? [X3] :
( k2_xboole_0(X0,X1) = X3
& v1_relat_1(X3)
& v1_funct_1(X3) )
| ? [X2] :
( k1_funct_1(X0,X2) != k1_funct_1(X1,X2)
& r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f36613]) ).
fof(f36613,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ~ ( ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> k2_xboole_0(X0,X1) != X3 )
& ! [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) ) ) ),
inference(rectify,[],[f1518]) ).
fof(f1518,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ~ ( ! [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) )
& ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> k2_xboole_0(X0,X1) != X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_partfun1) ).
fof(f45526,plain,
( ~ spl168_354
| spl168_419
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44934,f38988,f45524,f45189]) ).
fof(f45524,plain,
( spl168_419
<=> ! [X80] :
( v1_funct_1(sK38(X80,sK158))
| ~ v1_relat_1(X80)
| ~ v1_funct_1(X80)
| sP40(sK39(X80,sK158),sK158,X80) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_419])]) ).
fof(f44934,plain,
( ! [X80] :
( v1_funct_1(sK38(X80,sK158))
| ~ v1_relat_1(sK158)
| sP40(sK39(X80,sK158),sK158,X80)
| ~ v1_funct_1(X80)
| ~ v1_relat_1(X80) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37708]) ).
fof(f37708,plain,
! [X0,X1] :
( v1_funct_1(sK38(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| sP40(sK39(X0,X1),X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37368]) ).
fof(f45522,plain,
( spl168_403
| spl168_418
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45069,f38988,f45520,f45443]) ).
fof(f45520,plain,
( spl168_418
<=> ! [X395,X396] :
( sQ167_eqProxy(sK158,X395)
| ~ m2_relset_1(X395,np__0,X396)
| ~ v1_funct_1(X395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_418])]) ).
fof(f45069,plain,
( ! [X395,X394,X396] :
( sQ167_eqProxy(sK158,X395)
| ~ v1_funct_1(X395)
| ~ m2_relset_1(X395,np__0,X396)
| ~ m2_relset_1(sK158,np__0,X394) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38655]) ).
fof(f38655,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,np__0,X2)
| sQ167_eqProxy(X1,X3)
| ~ v1_funct_1(X3) ),
inference(equality_proxy_replacement,[],[f38430,f38579]) ).
fof(f38430,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| X1 = X3
| ~ m2_relset_1(X3,np__0,X2)
| ~ v1_funct_1(X3) ),
inference(definition_unfolding,[],[f37611,f38238,f38238]) ).
fof(f37611,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = X3
| ~ m2_relset_1(X3,k1_xboole_0,X2)
| ~ v1_funct_1(X3) ),
inference(cnf_transformation,[],[f37068]) ).
fof(f37068,plain,
! [X0,X2,X1] :
( ! [X3] :
( ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k1_xboole_0,X2)
| X1 = X3 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_xboole_0,X0) ),
inference(flattening,[],[f37067]) ).
fof(f37067,plain,
! [X2,X0,X1] :
( ! [X3] :
( X1 = X3
| ~ m2_relset_1(X3,k1_xboole_0,X2)
| ~ v1_funct_1(X3) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_xboole_0,X0) ),
inference(ennf_transformation,[],[f36660]) ).
fof(f36660,plain,
! [X2,X0,X1] :
( ( v1_funct_1(X1)
& m2_relset_1(X1,k1_xboole_0,X0) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_xboole_0,X2)
& v1_funct_1(X3) )
=> X1 = X3 ) ),
inference(rectify,[],[f1574]) ).
fof(f1574,axiom,
! [X0,X2,X1] :
( ( m2_relset_1(X2,k1_xboole_0,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,k1_xboole_0,X1) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_partfun1) ).
fof(f45518,plain,
( spl168_417
| ~ spl168_354
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45090,f38988,f45189,f45516]) ).
fof(f45516,plain,
( spl168_417
<=> ! [X433] :
( ~ sQ167_eqProxy(k1_relat_1(sK158),k2_relat_1(X433))
| ~ v1_funct_1(X433)
| ~ v1_relat_1(X433)
| v2_funct_1(X433)
| ~ v2_funct_1(k5_relat_1(X433,sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_417])]) ).
fof(f45090,plain,
( ! [X433] :
( ~ v1_relat_1(sK158)
| ~ sQ167_eqProxy(k1_relat_1(sK158),k2_relat_1(X433))
| ~ v2_funct_1(k5_relat_1(X433,sK158))
| v2_funct_1(X433)
| ~ v1_relat_1(X433)
| ~ v1_funct_1(X433) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38693]) ).
fof(f38693,plain,
! [X0,X1] :
( ~ v2_funct_1(k5_relat_1(X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v2_funct_1(X1)
| ~ sQ167_eqProxy(k1_relat_1(X0),k2_relat_1(X1)) ),
inference(equality_proxy_replacement,[],[f37703,f38579]) ).
fof(f37703,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| v2_funct_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f37036]) ).
fof(f37036,plain,
! [X0] :
( ! [X1] :
( ~ v2_funct_1(k5_relat_1(X1,X0))
| ( v2_funct_1(X0)
& v2_funct_1(X1) )
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f37035]) ).
fof(f37035,plain,
! [X0] :
( ! [X1] :
( ( v2_funct_1(X0)
& v2_funct_1(X1) )
| ~ v2_funct_1(k5_relat_1(X1,X0))
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f982]) ).
fof(f982,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(k5_relat_1(X1,X0))
& k1_relat_1(X0) = k2_relat_1(X1) )
=> ( v2_funct_1(X0)
& v2_funct_1(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_funct_1) ).
fof(f45514,plain,
( ~ spl168_354
| spl168_416
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45510,f38988,f45512,f45189]) ).
fof(f45512,plain,
( spl168_416
<=> ! [X411,X412] :
( ~ v1_relat_1(X412)
| ~ r2_hidden(X411,k3_xboole_0(k1_relat_1(sK158),k1_relat_1(X412)))
| sQ167_eqProxy(k1_funct_1(sK158,X411),k1_funct_1(X412,X411))
| ~ v1_funct_1(X412)
| ~ v1_funct_1(k2_xboole_0(sK158,X412)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_416])]) ).
fof(f45510,plain,
( ! [X412,X411] :
( ~ v1_relat_1(X412)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(sK158,X412))
| ~ v1_funct_1(X412)
| sQ167_eqProxy(k1_funct_1(sK158,X411),k1_funct_1(X412,X411))
| ~ r2_hidden(X411,k3_xboole_0(k1_relat_1(sK158),k1_relat_1(X412))) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45079,f37815]) ).
fof(f45079,plain,
( ! [X412,X411] :
( ~ v1_funct_1(k2_xboole_0(sK158,X412))
| ~ v1_relat_1(sK158)
| ~ r2_hidden(X411,k3_xboole_0(k1_relat_1(sK158),k1_relat_1(X412)))
| ~ v1_relat_1(X412)
| ~ v1_funct_1(X412)
| sQ167_eqProxy(k1_funct_1(sK158,X411),k1_funct_1(X412,X411))
| ~ v1_relat_1(k2_xboole_0(sK158,X412)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38676]) ).
fof(f38676,plain,
! [X3,X0,X1] :
( sQ167_eqProxy(k1_funct_1(X0,X3),k1_funct_1(X1,X3))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(k2_xboole_0(X0,X1))
| ~ v1_funct_1(X1)
| ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(equality_proxy_replacement,[],[f38527,f38579]) ).
fof(f38527,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3)
| ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| ~ v1_relat_1(k2_xboole_0(X0,X1))
| ~ v1_funct_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f37669]) ).
fof(f37669,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3)
| ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| k2_xboole_0(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f36734]) ).
fof(f36734,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ! [X2] :
( k2_xboole_0(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ) ),
inference(flattening,[],[f36733]) ).
fof(f36733,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) )
| k2_xboole_0(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1519]) ).
fof(f1519,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k2_xboole_0(X0,X1) = X2
=> ! [X3] :
( r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_partfun1) ).
fof(f45509,plain,
( ~ spl168_354
| spl168_415
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45505,f38988,f45507,f45189]) ).
fof(f45507,plain,
( spl168_415
<=> ! [X400] :
( ~ v1_funct_1(X400)
| ~ v1_funct_1(k2_xboole_0(X400,sK158))
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(X400),k1_relat_1(sK158)),k1_relat_1(k2_xboole_0(X400,sK158)))
| ~ v1_relat_1(X400) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_415])]) ).
fof(f45505,plain,
( ! [X400] :
( ~ v1_funct_1(X400)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X400)
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(X400),k1_relat_1(sK158)),k1_relat_1(k2_xboole_0(X400,sK158)))
| ~ v1_funct_1(k2_xboole_0(X400,sK158)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45071,f37815]) ).
fof(f45071,plain,
( ! [X400] :
( sQ167_eqProxy(k2_xboole_0(k1_relat_1(X400),k1_relat_1(sK158)),k1_relat_1(k2_xboole_0(X400,sK158)))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X400)
| ~ v1_funct_1(k2_xboole_0(X400,sK158))
| ~ v1_relat_1(k2_xboole_0(X400,sK158))
| ~ v1_funct_1(X400) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38657]) ).
fof(f38657,plain,
! [X2,X1] :
( ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(k2_xboole_0(X1,X2))
| ~ v1_funct_1(X1)
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2)),k1_relat_1(k2_xboole_0(X1,X2))) ),
inference(equality_proxy_replacement,[],[f38523,f38579]) ).
fof(f38523,plain,
! [X2,X1] :
( ~ v1_funct_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2)) = k1_relat_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k2_xboole_0(X1,X2)) ),
inference(equality_resolution,[],[f37617]) ).
fof(f37617,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k2_xboole_0(X1,X2) != X0
| k1_relat_1(X0) = k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37157]) ).
fof(f37157,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( k1_relat_1(X0) = k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2))
& k2_relat_1(X0) = k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)) )
| k2_xboole_0(X1,X2) != X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37156]) ).
fof(f37156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X0) = k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2))
& k2_relat_1(X0) = k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)) )
| k2_xboole_0(X1,X2) != X0
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f1142]) ).
fof(f1142,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k2_xboole_0(X1,X2) = X0
=> ( k1_relat_1(X0) = k2_xboole_0(k1_relat_1(X1),k1_relat_1(X2))
& k2_relat_1(X0) = k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_grfunc_1) ).
fof(f45504,plain,
( ~ spl168_354
| spl168_414
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45500,f38993,f38988,f45502,f45189]) ).
fof(f45502,plain,
( spl168_414
<=> ! [X541,X540,X542] :
( ~ r2_hidden(k4_tarski(X542,X541),sK158)
| ~ r2_hidden(k4_tarski(X540,X541),sK158)
| sQ167_eqProxy(X542,X540) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_414])]) ).
fof(f45500,plain,
( ! [X541,X540,X542] :
( ~ r2_hidden(k4_tarski(X542,X541),sK158)
| sQ167_eqProxy(X542,X540)
| ~ v1_relat_1(sK158)
| ~ r2_hidden(k4_tarski(X540,X541),sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45135,f38995]) ).
fof(f45135,plain,
( ! [X541,X540,X542] :
( ~ v2_funct_1(sK158)
| sQ167_eqProxy(X542,X540)
| ~ r2_hidden(k4_tarski(X542,X541),sK158)
| ~ r2_hidden(k4_tarski(X540,X541),sK158)
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38783]) ).
fof(f38783,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X3,X1),X0)
| sQ167_eqProxy(X2,X3)
| ~ r2_hidden(k4_tarski(X2,X1),X0) ),
inference(equality_proxy_replacement,[],[f37966,f38579]) ).
fof(f37966,plain,
! [X2,X3,X0,X1] :
( ~ v2_funct_1(X0)
| ~ r2_hidden(k4_tarski(X2,X1),X0)
| X2 = X3
| ~ r2_hidden(k4_tarski(X3,X1),X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37359]) ).
fof(f37359,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ! [X1,X2,X3] :
( ~ r2_hidden(k4_tarski(X3,X1),X0)
| X2 = X3
| ~ r2_hidden(k4_tarski(X2,X1),X0) )
<=> v2_funct_1(X0) ) ),
inference(flattening,[],[f37358]) ).
fof(f37358,plain,
! [X0] :
( ( v2_funct_1(X0)
<=> ! [X2,X3,X1] :
( X2 = X3
| ~ r2_hidden(k4_tarski(X2,X1),X0)
| ~ r2_hidden(k4_tarski(X3,X1),X0) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f36533]) ).
fof(f36533,plain,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X2,X3,X1] :
( ( r2_hidden(k4_tarski(X2,X1),X0)
& r2_hidden(k4_tarski(X3,X1),X0) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f1134]) ).
fof(f1134,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X3,X1,X2] :
( ( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X2,X3),X0) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_grfunc_1) ).
fof(f45499,plain,
( spl168_413
| ~ spl168_354
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45495,f38993,f38988,f45189,f45497]) ).
fof(f45497,plain,
( spl168_413
<=> ! [X78] :
( ~ v1_funct_1(X78)
| ~ r1_tarski(X78,sK158)
| v2_funct_1(X78) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_413])]) ).
fof(f45495,plain,
( ! [X78] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X78)
| v2_funct_1(X78)
| ~ r1_tarski(X78,sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45494,f37955]) ).
fof(f37955,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f36992]) ).
fof(f36992,plain,
! [X1,X0] :
( ~ v1_relat_1(X1)
| v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f36991]) ).
fof(f36991,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f700]) ).
fof(f700,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_relat_1) ).
fof(f45494,plain,
( ! [X78] :
( ~ v1_funct_1(X78)
| v2_funct_1(X78)
| ~ r1_tarski(X78,sK158)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X78) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f44932,f38995]) ).
fof(f44932,plain,
( ! [X78] :
( ~ v1_relat_1(X78)
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(sK158)
| ~ r1_tarski(X78,sK158)
| ~ v1_funct_1(X78)
| v2_funct_1(X78) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37689]) ).
fof(f37689,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v2_funct_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f37242]) ).
fof(f37242,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ! [X1] :
( ~ v2_funct_1(X1)
| v2_funct_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ) ),
inference(flattening,[],[f37241]) ).
fof(f37241,plain,
! [X0] :
( ! [X1] :
( v2_funct_1(X0)
| ~ v2_funct_1(X1)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f1135]) ).
fof(f1135,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(X1)
& r1_tarski(X0,X1) )
=> v2_funct_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_grfunc_1) ).
fof(f45493,plain,
( ~ spl168_354
| spl168_412
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45489,f38988,f45491,f45189]) ).
fof(f45491,plain,
( spl168_412
<=> ! [X285] :
( ~ v1_funct_1(X285)
| ~ v1_relat_1(X285)
| v2_funct_1(k3_xboole_0(X285,sK158))
| ~ v2_funct_1(X285) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_412])]) ).
fof(f45489,plain,
( ! [X285] :
( ~ v1_funct_1(X285)
| ~ v2_funct_1(X285)
| ~ v1_relat_1(sK158)
| v2_funct_1(k3_xboole_0(X285,sK158))
| ~ v1_relat_1(X285) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45488,f37986]) ).
fof(f45488,plain,
( ! [X285] :
( ~ v2_funct_1(X285)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(k3_xboole_0(X285,sK158))
| ~ v1_funct_1(X285)
| v2_funct_1(k3_xboole_0(X285,sK158))
| ~ v1_relat_1(X285) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45026,f37822]) ).
fof(f45026,plain,
( ! [X285] :
( ~ v1_relat_1(X285)
| v2_funct_1(k3_xboole_0(X285,sK158))
| ~ v1_funct_1(X285)
| ~ v2_funct_1(X285)
| ~ v1_funct_1(k3_xboole_0(X285,sK158))
| ~ v1_relat_1(k3_xboole_0(X285,sK158))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38518]) ).
fof(f38518,plain,
! [X0,X1] :
( ~ v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| v2_funct_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k3_xboole_0(X0,X1))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f37586]) ).
fof(f37586,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| v2_funct_1(X2)
| ~ v1_funct_1(X2)
| k3_xboole_0(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37153]) ).
fof(f37153,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ! [X2] :
( ( ~ v2_funct_1(X1)
& ~ v2_funct_1(X0) )
| ~ v1_relat_1(X2)
| k3_xboole_0(X0,X1) != X2
| ~ v1_funct_1(X2)
| v2_funct_1(X2) )
| ~ v1_relat_1(X1) ) ),
inference(flattening,[],[f37152]) ).
fof(f37152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v2_funct_1(X1)
& ~ v2_funct_1(X0) )
| v2_funct_1(X2)
| k3_xboole_0(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1139]) ).
fof(f1139,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( k3_xboole_0(X0,X1) = X2
=> ( ( ~ v2_funct_1(X1)
& ~ v2_funct_1(X0) )
| v2_funct_1(X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_grfunc_1) ).
fof(f45487,plain,
( spl168_411
| ~ spl168_354
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45093,f38988,f45189,f45485]) ).
fof(f45485,plain,
( spl168_411
<=> ! [X436] :
( ~ v1_funct_1(X436)
| ~ v1_relat_1(X436)
| sP40(sK39(X436,sK158),sK158,X436)
| sQ167_eqProxy(k2_xboole_0(X436,sK158),sK38(X436,sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_411])]) ).
fof(f45093,plain,
( ! [X436] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X436)
| sQ167_eqProxy(k2_xboole_0(X436,sK158),sK38(X436,sK158))
| sP40(sK39(X436,sK158),sK158,X436)
| ~ v1_relat_1(X436) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38694]) ).
fof(f38694,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| sP40(sK39(X0,X1),X1,X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| sQ167_eqProxy(k2_xboole_0(X0,X1),sK38(X0,X1))
| ~ v1_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f37707,f38579]) ).
fof(f37707,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| k2_xboole_0(X0,X1) = sK38(X0,X1)
| ~ v1_relat_1(X1)
| sP40(sK39(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f37368]) ).
fof(f45483,plain,
( ~ spl168_368
| ~ spl168_354
| spl168_409
| spl168_410
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45475,f38993,f38988,f45480,f45477,f45189,f45259]) ).
fof(f45259,plain,
( spl168_368
<=> v1_finseq_1(sK158) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_368])]) ).
fof(f45477,plain,
( spl168_409
<=> ! [X410] : ~ sQ167_eqProxy(k1_tarski(X410),k2_relat_1(sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_409])]) ).
fof(f45480,plain,
( spl168_410
<=> sQ167_eqProxy(np__1,k3_finseq_1(sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_410])]) ).
fof(f45475,plain,
( ! [X410] :
( sQ167_eqProxy(np__1,k3_finseq_1(sK158))
| ~ sQ167_eqProxy(k1_tarski(X410),k2_relat_1(sK158))
| ~ v1_relat_1(sK158)
| ~ v1_finseq_1(sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45078,f38995]) ).
fof(f45078,plain,
( ! [X410] :
( ~ v2_funct_1(sK158)
| ~ v1_relat_1(sK158)
| sQ167_eqProxy(np__1,k3_finseq_1(sK158))
| ~ v1_finseq_1(sK158)
| ~ sQ167_eqProxy(k1_tarski(X410),k2_relat_1(sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38674]) ).
fof(f38674,plain,
! [X0,X1] :
( ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| sQ167_eqProxy(np__1,k3_finseq_1(X0))
| ~ sQ167_eqProxy(k1_tarski(X1),k2_relat_1(X0)) ),
inference(equality_proxy_replacement,[],[f37658,f38579,f38579]) ).
fof(f37658,plain,
! [X0,X1] :
( np__1 = k3_finseq_1(X0)
| ~ v2_funct_1(X0)
| k1_tarski(X1) != k2_relat_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37081]) ).
fof(f37081,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| ! [X1] :
( k1_tarski(X1) != k2_relat_1(X0)
| ~ v2_funct_1(X0)
| np__1 = k3_finseq_1(X0) ) ),
inference(flattening,[],[f37080]) ).
fof(f37080,plain,
! [X0] :
( ! [X1] :
( np__1 = k3_finseq_1(X0)
| k1_tarski(X1) != k2_relat_1(X0)
| ~ v2_funct_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7212]) ).
fof(f7212,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_finseq_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( k1_tarski(X1) = k2_relat_1(X0)
& v2_funct_1(X0) )
=> np__1 = k3_finseq_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t105_finseq_3) ).
fof(f45472,plain,
( ~ spl168_368
| ~ spl168_354
| spl168_408
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45468,f38993,f38988,f45470,f45189,f45259]) ).
fof(f45470,plain,
( spl168_408
<=> ! [X427] :
( ~ sQ167_eqProxy(k2_relat_1(X427),k2_relat_1(sK158))
| ~ v2_funct_1(X427)
| sQ167_eqProxy(k3_finseq_1(X427),k3_finseq_1(sK158))
| ~ v1_finseq_1(X427)
| ~ v1_relat_1(X427)
| ~ v1_funct_1(X427) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_408])]) ).
fof(f45468,plain,
( ! [X427] :
( ~ sQ167_eqProxy(k2_relat_1(X427),k2_relat_1(sK158))
| ~ v1_funct_1(X427)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X427)
| ~ v1_finseq_1(X427)
| ~ v1_finseq_1(sK158)
| sQ167_eqProxy(k3_finseq_1(X427),k3_finseq_1(sK158))
| ~ v2_funct_1(X427) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45086,f38995]) ).
fof(f45086,plain,
( ! [X427] :
( ~ v1_funct_1(X427)
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(sK158)
| sQ167_eqProxy(k3_finseq_1(X427),k3_finseq_1(sK158))
| ~ v2_funct_1(X427)
| ~ v1_relat_1(X427)
| ~ v1_finseq_1(sK158)
| ~ sQ167_eqProxy(k2_relat_1(X427),k2_relat_1(sK158))
| ~ v1_finseq_1(X427) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38689]) ).
fof(f38689,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| sQ167_eqProxy(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ sQ167_eqProxy(k2_relat_1(X0),k2_relat_1(X1))
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v2_funct_1(X1)
| ~ v1_finseq_1(X1) ),
inference(equality_proxy_replacement,[],[f37692,f38579,f38579]) ).
fof(f37692,plain,
! [X0,X1] :
( k2_relat_1(X0) != k2_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k3_finseq_1(X0) = k3_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37403]) ).
fof(f37403,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| ! [X1] :
( k3_finseq_1(X0) = k3_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X1)
| ~ v2_funct_1(X0)
| ~ v2_funct_1(X1)
| k2_relat_1(X0) != k2_relat_1(X1) ) ),
inference(flattening,[],[f37402]) ).
fof(f37402,plain,
! [X0] :
( ! [X1] :
( k3_finseq_1(X0) = k3_finseq_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(X1)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f5475]) ).
fof(f5475,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(X1)
& v2_funct_1(X0)
& k2_relat_1(X0) = k2_relat_1(X1) )
=> k3_finseq_1(X0) = k3_finseq_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_finseq_1) ).
fof(f45466,plain,
( ~ spl168_354
| spl168_407
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45462,f38993,f38988,f45464,f45189]) ).
fof(f45464,plain,
( spl168_407
<=> ! [X120] :
( ~ v1_relat_1(X120)
| v2_funct_1(k5_relat_1(sK158,X120))
| ~ v1_funct_1(X120)
| ~ v2_funct_1(X120) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_407])]) ).
fof(f45462,plain,
( ! [X120] :
( ~ v1_relat_1(X120)
| ~ v2_funct_1(X120)
| ~ v1_funct_1(X120)
| v2_funct_1(k5_relat_1(sK158,X120))
| ~ v1_relat_1(sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f44952,f38995]) ).
fof(f44952,plain,
( ! [X120] :
( ~ v2_funct_1(X120)
| ~ v1_relat_1(X120)
| v2_funct_1(k5_relat_1(sK158,X120))
| ~ v2_funct_1(sK158)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X120) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37874]) ).
fof(f37874,plain,
! [X0,X1] :
( ~ v2_funct_1(X0)
| v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f36925]) ).
fof(f36925,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f36924]) ).
fof(f36924,plain,
! [X0] :
( ! [X1] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X0)
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f980]) ).
fof(f980,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(X0)
& v2_funct_1(X1) )
=> v2_funct_1(k5_relat_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_1) ).
fof(f45461,plain,
( ~ spl168_354
| spl168_406
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45457,f38993,f38988,f45459,f45189]) ).
fof(f45459,plain,
( spl168_406
<=> ! [X284] :
( ~ v1_relat_1(X284)
| v2_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_funct_1(X284) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_406])]) ).
fof(f45457,plain,
( ! [X284] :
( ~ v1_relat_1(X284)
| ~ v1_funct_1(X284)
| ~ v1_funct_1(k3_xboole_0(sK158,X284))
| v2_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_relat_1(sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45456,f37986]) ).
fof(f45456,plain,
( ! [X284] :
( ~ v1_relat_1(X284)
| ~ v1_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_relat_1(sK158)
| v2_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_relat_1(k3_xboole_0(sK158,X284))
| ~ v1_funct_1(X284) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45025,f38995]) ).
fof(f45025,plain,
( ! [X284] :
( ~ v1_funct_1(X284)
| ~ v2_funct_1(sK158)
| ~ v1_funct_1(k3_xboole_0(sK158,X284))
| ~ v1_relat_1(X284)
| ~ v1_relat_1(k3_xboole_0(sK158,X284))
| ~ v1_relat_1(sK158)
| v2_funct_1(k3_xboole_0(sK158,X284)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38518]) ).
fof(f45455,plain,
( ~ spl168_354
| spl168_405
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45451,f38988,f45453,f45189]) ).
fof(f45453,plain,
( spl168_405
<=> ! [X246,X245] :
( v1_funct_1(k2_xboole_0(X246,X245))
| ~ v1_funct_1(X245)
| ~ v1_funct_1(X246)
| ~ r1_tarski(X245,sK158)
| ~ r1_tarski(X246,sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_405])]) ).
fof(f45451,plain,
( ! [X246,X245] :
( v1_funct_1(k2_xboole_0(X246,X245))
| ~ r1_tarski(X246,sK158)
| ~ v1_relat_1(sK158)
| ~ r1_tarski(X245,sK158)
| ~ v1_funct_1(X246)
| ~ v1_funct_1(X245) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45450,f37955]) ).
fof(f45450,plain,
( ! [X246,X245] :
( ~ r1_tarski(X246,sK158)
| ~ v1_relat_1(X246)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X246)
| v1_funct_1(k2_xboole_0(X246,X245))
| ~ r1_tarski(X245,sK158)
| ~ v1_funct_1(X245) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45006,f37955]) ).
fof(f45006,plain,
( ! [X246,X245] :
( ~ r1_tarski(X246,sK158)
| v1_funct_1(k2_xboole_0(X246,X245))
| ~ v1_funct_1(X246)
| ~ v1_funct_1(X245)
| ~ r1_tarski(X245,sK158)
| ~ v1_relat_1(X245)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X246) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38263]) ).
fof(f38263,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| v1_funct_1(k2_xboole_0(X0,X2))
| ~ r1_tarski(X2,X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f37129]) ).
fof(f37129,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ! [X2] :
( ~ r1_tarski(X2,X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| ( v1_relat_1(k2_xboole_0(X0,X2))
& v1_funct_1(k2_xboole_0(X0,X2)) )
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37128]) ).
fof(f37128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_relat_1(k2_xboole_0(X0,X2))
& v1_funct_1(k2_xboole_0(X0,X2)) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1141]) ).
fof(f1141,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(X2,X1)
& r1_tarski(X0,X1) )
=> ( v1_relat_1(k2_xboole_0(X0,X2))
& v1_funct_1(k2_xboole_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_grfunc_1) ).
fof(f45449,plain,
( spl168_404
| ~ spl168_354
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45124,f38988,f45189,f45447]) ).
fof(f45447,plain,
( spl168_404
<=> ! [X511] :
( sQ167_eqProxy(k5_relat_1(sK158,k6_partfun1(X511)),sK158)
| ~ r1_tarski(k2_relat_1(sK158),X511) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_404])]) ).
fof(f45124,plain,
( ! [X511] :
( ~ v1_relat_1(sK158)
| sQ167_eqProxy(k5_relat_1(sK158,k6_partfun1(X511)),sK158)
| ~ r1_tarski(k2_relat_1(sK158),X511) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38766]) ).
fof(f38766,plain,
! [X0,X1] :
( sQ167_eqProxy(k5_relat_1(X0,k6_partfun1(X1)),X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(equality_proxy_replacement,[],[f37908,f38579]) ).
fof(f37908,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_partfun1(X1)) = X0
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f37045]) ).
fof(f37045,plain,
! [X0] :
( ! [X1] :
( ~ r1_tarski(k2_relat_1(X0),X1)
| k5_relat_1(X0,k6_partfun1(X1)) = X0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37044]) ).
fof(f37044,plain,
! [X0] :
( ! [X1] :
( ~ r1_tarski(k2_relat_1(X0),X1)
| k5_relat_1(X0,k6_partfun1(X1)) = X0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f16856]) ).
fof(f16856,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( r1_tarski(k2_relat_1(X0),X1)
=> k5_relat_1(X0,k6_partfun1(X1)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_funct_7) ).
fof(f45445,plain,
( spl168_402
| spl168_403
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45070,f38988,f45443,f45440]) ).
fof(f45440,plain,
( spl168_402
<=> ! [X397,X398] :
( ~ v1_funct_1(X397)
| ~ m2_relset_1(X397,np__0,X398)
| sQ167_eqProxy(X397,sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_402])]) ).
fof(f45070,plain,
( ! [X399,X398,X397] :
( ~ m2_relset_1(sK158,np__0,X399)
| ~ v1_funct_1(X397)
| sQ167_eqProxy(X397,sK158)
| ~ m2_relset_1(X397,np__0,X398) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38655]) ).
fof(f45438,plain,
( spl168_400
| spl168_401
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45430,f38993,f38988,f45436,f45432]) ).
fof(f45432,plain,
( spl168_400
<=> sP54(sK158,np__0) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_400])]) ).
fof(f45436,plain,
( spl168_401
<=> ! [X287] :
( ~ m2_relset_1(sK158,np__0,X287)
| ~ v1_funct_2(sK158,np__0,X287) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_401])]) ).
fof(f45430,plain,
( ! [X287] :
( ~ m2_relset_1(sK158,np__0,X287)
| sP54(sK158,np__0)
| ~ v1_funct_2(sK158,np__0,X287) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45028,f38995]) ).
fof(f45028,plain,
( ! [X287] :
( ~ v2_funct_1(sK158)
| ~ v1_funct_2(sK158,np__0,X287)
| sP54(sK158,np__0)
| ~ m2_relset_1(sK158,np__0,X287) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38532]) ).
fof(f38532,plain,
! [X2,X0] :
( ~ v1_funct_2(X2,np__0,X0)
| sP54(X2,np__0)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,np__0,X0) ),
inference(equality_resolution,[],[f38441]) ).
fof(f38441,plain,
! [X2,X0,X1] :
( np__0 != X1
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ v2_funct_1(X2)
| sP54(X2,X1) ),
inference(definition_unfolding,[],[f37784,f38238]) ).
fof(f37784,plain,
! [X2,X0,X1] :
( k1_xboole_0 != X1
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X0)
| ~ v2_funct_1(X2)
| sP54(X2,X1) ),
inference(cnf_transformation,[],[f37281]) ).
fof(f45425,plain,
( spl168_396
| spl168_399
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45076,f38988,f45423,f45410]) ).
fof(f45423,plain,
( spl168_399
<=> ! [X406,X405] :
( ~ m2_relset_1(X405,X406,np__0)
| ~ v1_funct_1(X405)
| sQ167_eqProxy(sK158,X405) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_399])]) ).
fof(f45076,plain,
( ! [X405,X404,X406] :
( ~ m2_relset_1(X405,X406,np__0)
| sQ167_eqProxy(sK158,X405)
| ~ v1_funct_1(X405)
| ~ m2_relset_1(sK158,X404,np__0) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38664]) ).
fof(f38664,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X2,np__0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| sQ167_eqProxy(X1,X3)
| ~ m2_relset_1(X3,X0,np__0) ),
inference(equality_proxy_replacement,[],[f38433,f38579]) ).
fof(f38433,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X2,np__0)
| ~ m2_relset_1(X3,X0,np__0)
| ~ v1_funct_1(X3)
| X1 = X3
| ~ v1_funct_1(X1) ),
inference(definition_unfolding,[],[f37639,f38238,f38238]) ).
fof(f37639,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X2,k1_xboole_0)
| ~ m2_relset_1(X3,X0,k1_xboole_0)
| ~ v1_funct_1(X3)
| X1 = X3
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f37428]) ).
fof(f37428,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X1)
| ! [X3] :
( X1 = X3
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X0,k1_xboole_0) )
| ~ m2_relset_1(X1,X2,k1_xboole_0) ),
inference(flattening,[],[f37427]) ).
fof(f37427,plain,
! [X2,X0,X1] :
( ! [X3] :
( X1 = X3
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X0,k1_xboole_0) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,k1_xboole_0) ),
inference(ennf_transformation,[],[f36659]) ).
fof(f36659,plain,
! [X2,X0,X1] :
( ( v1_funct_1(X1)
& m2_relset_1(X1,X2,k1_xboole_0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X0,k1_xboole_0) )
=> X1 = X3 ) ),
inference(rectify,[],[f1581]) ).
fof(f1581,axiom,
! [X1,X2,X0] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,X0,k1_xboole_0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X1,k1_xboole_0) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_partfun1) ).
fof(f45420,plain,
( ~ spl168_354
| spl168_398
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45416,f38988,f45418,f45189]) ).
fof(f45418,plain,
( spl168_398
<=> ! [X627,X626] :
( sQ167_eqProxy(k1_funct_1(X626,X627),k1_funct_1(k2_xboole_0(sK158,X626),X627))
| ~ r2_hidden(X627,k1_relat_1(X626))
| ~ v1_funct_1(k2_xboole_0(sK158,X626))
| ~ v1_relat_1(X626)
| ~ v1_funct_1(X626) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_398])]) ).
fof(f45416,plain,
( ! [X626,X627] :
( sQ167_eqProxy(k1_funct_1(X626,X627),k1_funct_1(k2_xboole_0(sK158,X626),X627))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X626)
| ~ v1_relat_1(X626)
| ~ v1_funct_1(k2_xboole_0(sK158,X626))
| ~ r2_hidden(X627,k1_relat_1(X626)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45173,f37815]) ).
fof(f45173,plain,
( ! [X626,X627] :
( ~ v1_relat_1(k2_xboole_0(sK158,X626))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X626)
| ~ v1_funct_1(k2_xboole_0(sK158,X626))
| sQ167_eqProxy(k1_funct_1(X626,X627),k1_funct_1(k2_xboole_0(sK158,X626),X627))
| ~ v1_relat_1(X626)
| ~ r2_hidden(X627,k1_relat_1(X626)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38910]) ).
fof(f38910,plain,
! [X3,X0,X1] :
( sQ167_eqProxy(k1_funct_1(X1,X0),k1_funct_1(k2_xboole_0(X3,X1),X0))
| ~ v1_relat_1(X3)
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X3,X1))
| ~ v1_funct_1(X3)
| ~ v1_relat_1(k2_xboole_0(X3,X1)) ),
inference(equality_proxy_replacement,[],[f38566,f38579]) ).
fof(f38566,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k2_xboole_0(X3,X1))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k1_funct_1(X1,X0) = k1_funct_1(k2_xboole_0(X3,X1),X0)
| ~ v1_relat_1(k2_xboole_0(X3,X1)) ),
inference(equality_resolution,[],[f38293]) ).
fof(f38293,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k2_xboole_0(X3,X1) != X2
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k1_funct_1(X2,X0) = k1_funct_1(X1,X0)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f36931]) ).
fof(f36931,plain,
! [X1,X0] :
( ! [X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( k1_funct_1(X2,X0) = k1_funct_1(X1,X0)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| k2_xboole_0(X3,X1) != X2
| ~ r2_hidden(X0,k1_relat_1(X1)) )
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f36930]) ).
fof(f36930,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( k1_funct_1(X2,X0) = k1_funct_1(X1,X0)
| k2_xboole_0(X3,X1) != X2
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f1144]) ).
fof(f1144,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( ( k2_xboole_0(X3,X1) = X2
& r2_hidden(X0,k1_relat_1(X1)) )
=> k1_funct_1(X2,X0) = k1_funct_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_grfunc_1) ).
fof(f45415,plain,
( spl168_396
| spl168_397
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45077,f38988,f45413,f45410]) ).
fof(f45413,plain,
( spl168_397
<=> ! [X408,X407] :
( ~ v1_funct_1(X407)
| ~ m2_relset_1(X407,X408,np__0)
| sQ167_eqProxy(X407,sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_397])]) ).
fof(f45077,plain,
( ! [X409,X407,X408] :
( ~ v1_funct_1(X407)
| ~ m2_relset_1(sK158,X409,np__0)
| sQ167_eqProxy(X407,sK158)
| ~ m2_relset_1(X407,X408,np__0) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38664]) ).
fof(f45408,plain,
( spl168_395
| ~ spl168_354
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44936,f38988,f45189,f45406]) ).
fof(f45406,plain,
( spl168_395
<=> ! [X82] :
( ~ v1_funct_1(X82)
| sP40(sK39(X82,sK158),sK158,X82)
| v1_relat_1(sK38(X82,sK158))
| ~ v1_relat_1(X82) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_395])]) ).
fof(f44936,plain,
( ! [X82] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X82)
| ~ v1_relat_1(X82)
| v1_relat_1(sK38(X82,sK158))
| sP40(sK39(X82,sK158),sK158,X82) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37709]) ).
fof(f45396,plain,
( ~ spl168_354
| spl168_394
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45392,f38988,f45394,f45189]) ).
fof(f45394,plain,
( spl168_394
<=> ! [X586,X585] :
( ~ r2_hidden(X586,k1_relat_1(sK158))
| ~ v1_relat_1(X585)
| sQ167_eqProxy(k1_funct_1(sK158,X586),k1_funct_1(k2_xboole_0(sK158,X585),X586))
| ~ v1_funct_1(k2_xboole_0(sK158,X585))
| ~ v1_funct_1(X585) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_394])]) ).
fof(f45392,plain,
( ! [X585,X586] :
( ~ r2_hidden(X586,k1_relat_1(sK158))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(sK158,X585))
| ~ v1_funct_1(X585)
| sQ167_eqProxy(k1_funct_1(sK158,X586),k1_funct_1(k2_xboole_0(sK158,X585),X586))
| ~ v1_relat_1(X585) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45160,f37815]) ).
fof(f45160,plain,
( ! [X585,X586] :
( ~ v1_relat_1(k2_xboole_0(sK158,X585))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X585)
| ~ v1_funct_1(k2_xboole_0(sK158,X585))
| ~ v1_relat_1(X585)
| ~ r2_hidden(X586,k1_relat_1(sK158))
| sQ167_eqProxy(k1_funct_1(sK158,X586),k1_funct_1(k2_xboole_0(sK158,X585),X586)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38854]) ).
fof(f38854,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(k2_xboole_0(X0,X3))
| ~ v1_funct_1(X3)
| ~ v1_relat_1(k2_xboole_0(X0,X3))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| sQ167_eqProxy(k1_funct_1(X0,X1),k1_funct_1(k2_xboole_0(X0,X3),X1))
| ~ r2_hidden(X1,k1_relat_1(X0)) ),
inference(equality_proxy_replacement,[],[f38552,f38579]) ).
fof(f38552,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) = k1_funct_1(k2_xboole_0(X0,X3),X1)
| ~ v1_relat_1(k2_xboole_0(X0,X3))
| ~ v1_funct_1(k2_xboole_0(X0,X3)) ),
inference(equality_resolution,[],[f38150]) ).
fof(f38150,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| k2_xboole_0(X0,X3) != X2
| ~ v1_funct_1(X3)
| ~ r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f36806]) ).
fof(f36806,plain,
! [X0,X1] :
( ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_funct_1(X3)
| k2_xboole_0(X0,X3) != X2
| ~ v1_relat_1(X3) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f36805]) ).
fof(f36805,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| k2_xboole_0(X0,X3) != X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f36632]) ).
fof(f36632,plain,
! [X1,X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( ( k2_xboole_0(X0,X3) = X2
& r2_hidden(X1,k1_relat_1(X0)) )
=> k1_funct_1(X0,X1) = k1_funct_1(X2,X1) ) ) ) ),
inference(rectify,[],[f1143]) ).
fof(f1143,axiom,
! [X1,X0] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( ( r2_hidden(X0,k1_relat_1(X1))
& k2_xboole_0(X1,X3) = X2 )
=> k1_funct_1(X2,X0) = k1_funct_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_grfunc_1) ).
fof(f45391,plain,
( ~ spl168_357
| spl168_393
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44995,f38988,f45389,f45201]) ).
fof(f45201,plain,
( spl168_357
<=> m2_relset_1(sK158,k1_numbers,k1_numbers) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_357])]) ).
fof(f45389,plain,
( spl168_393
<=> ! [X214,X213,X215] :
( ~ r2_fcont_1(sK158,X213)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,sK158,X214),k3_xboole_0(X213,k3_funct_2(k1_numbers,k1_numbers,sK158,X215)))
| ~ r2_fcont_1(X214,X215)
| ~ v1_funct_1(X214)
| ~ m2_relset_1(X214,k1_numbers,k1_numbers) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_393])]) ).
fof(f44995,plain,
( ! [X215,X213,X214] :
( ~ r2_fcont_1(sK158,X213)
| ~ v1_funct_1(X214)
| ~ r2_fcont_1(X214,X215)
| ~ m2_relset_1(X214,k1_numbers,k1_numbers)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,sK158,X214),k3_xboole_0(X213,k3_funct_2(k1_numbers,k1_numbers,sK158,X215)))
| ~ m2_relset_1(sK158,k1_numbers,k1_numbers) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38137]) ).
fof(f38137,plain,
! [X2,X3,X0,X1] :
( ~ r2_fcont_1(X2,X1)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X2,X3),k3_xboole_0(X1,k3_funct_2(k1_numbers,k1_numbers,X2,X0)))
| ~ r2_fcont_1(X3,X0)
| ~ m2_relset_1(X2,k1_numbers,k1_numbers)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k1_numbers,k1_numbers)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f37351]) ).
fof(f37351,plain,
! [X2,X1,X0] :
( ! [X3] :
( ~ v1_funct_1(X3)
| ~ r2_fcont_1(X2,X1)
| ~ r2_fcont_1(X3,X0)
| ~ m2_relset_1(X3,k1_numbers,k1_numbers)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X2,X3),k3_xboole_0(X1,k3_funct_2(k1_numbers,k1_numbers,X2,X0))) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k1_numbers,k1_numbers) ),
inference(flattening,[],[f37350]) ).
fof(f37350,plain,
! [X1,X2,X0] :
( ! [X3] :
( r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X2,X3),k3_xboole_0(X1,k3_funct_2(k1_numbers,k1_numbers,X2,X0)))
| ~ r2_fcont_1(X2,X1)
| ~ r2_fcont_1(X3,X0)
| ~ m2_relset_1(X3,k1_numbers,k1_numbers)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k1_numbers,k1_numbers)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f36672]) ).
fof(f36672,plain,
! [X1,X2,X0] :
( ( m2_relset_1(X2,k1_numbers,k1_numbers)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_numbers,k1_numbers)
& v1_funct_1(X3) )
=> ( ( r2_fcont_1(X2,X1)
& r2_fcont_1(X3,X0) )
=> r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X2,X3),k3_xboole_0(X1,k3_funct_2(k1_numbers,k1_numbers,X2,X0))) ) ) ),
inference(rectify,[],[f10542]) ).
fof(f10542,axiom,
! [X1,X0,X2] :
( ( m2_relset_1(X2,k1_numbers,k1_numbers)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_numbers,k1_numbers)
& v1_funct_1(X3) )
=> ( ( r2_fcont_1(X3,X1)
& r2_fcont_1(X2,X0) )
=> r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X2,X3),k3_xboole_0(X0,k3_funct_2(k1_numbers,k1_numbers,X2,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_fcont_1) ).
fof(f45387,plain,
( ~ spl168_354
| spl168_392
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45383,f38988,f45385,f45189]) ).
fof(f45385,plain,
( spl168_392
<=> ! [X625,X624] :
( ~ v1_funct_1(X625)
| ~ v1_funct_1(k2_xboole_0(X625,sK158))
| ~ v1_relat_1(X625)
| ~ r2_hidden(X624,k1_relat_1(sK158))
| sQ167_eqProxy(k1_funct_1(sK158,X624),k1_funct_1(k2_xboole_0(X625,sK158),X624)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_392])]) ).
fof(f45383,plain,
( ! [X624,X625] :
( ~ v1_funct_1(X625)
| sQ167_eqProxy(k1_funct_1(sK158,X624),k1_funct_1(k2_xboole_0(X625,sK158),X624))
| ~ r2_hidden(X624,k1_relat_1(sK158))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X625)
| ~ v1_funct_1(k2_xboole_0(X625,sK158)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45172,f37815]) ).
fof(f45172,plain,
( ! [X624,X625] :
( ~ v1_funct_1(X625)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(X625,sK158))
| ~ v1_relat_1(X625)
| ~ r2_hidden(X624,k1_relat_1(sK158))
| ~ v1_relat_1(k2_xboole_0(X625,sK158))
| sQ167_eqProxy(k1_funct_1(sK158,X624),k1_funct_1(k2_xboole_0(X625,sK158),X624)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38910]) ).
fof(f45382,plain,
( ~ spl168_354
| spl168_391
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45378,f38993,f38988,f45380,f45189]) ).
fof(f45380,plain,
( spl168_391
<=> ! [X440] :
( ~ v1_funct_1(X440)
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(k5_relat_1(X440,sK158)))
| r1_tarski(k1_relat_1(sK158),k2_relat_1(X440))
| ~ v1_relat_1(X440) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_391])]) ).
fof(f45378,plain,
( ! [X440] :
( ~ v1_funct_1(X440)
| ~ v1_relat_1(X440)
| r1_tarski(k1_relat_1(sK158),k2_relat_1(X440))
| ~ v1_relat_1(sK158)
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(k5_relat_1(X440,sK158))) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45095,f38995]) ).
fof(f45095,plain,
( ! [X440] :
( ~ v2_funct_1(sK158)
| ~ v1_relat_1(X440)
| r1_tarski(k1_relat_1(sK158),k2_relat_1(X440))
| ~ v1_relat_1(sK158)
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(k5_relat_1(X440,sK158)))
| ~ v1_funct_1(X440) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38697]) ).
fof(f38697,plain,
! [X0,X1] :
( ~ v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ sQ167_eqProxy(k2_relat_1(X0),k2_relat_1(k5_relat_1(X1,X0)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| ~ v1_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f37715,f38579]) ).
fof(f37715,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f37263]) ).
fof(f37263,plain,
! [X0] :
( ! [X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37262]) ).
fof(f37262,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f985]) ).
fof(f985,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(X0)
& k2_relat_1(X0) = k2_relat_1(k5_relat_1(X1,X0)) )
=> r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_funct_1) ).
fof(f45377,plain,
( spl168_390
| ~ spl168_354
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44942,f38988,f45189,f45375]) ).
fof(f45375,plain,
( spl168_390
<=> ! [X95] : v1_funct_1(k3_xboole_0(sK158,X95)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_390])]) ).
fof(f44942,plain,
( ! [X95] :
( ~ v1_relat_1(sK158)
| v1_funct_1(k3_xboole_0(sK158,X95)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37822]) ).
fof(f45373,plain,
( spl168_389
| ~ spl168_354
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45369,f38993,f38988,f45189,f45371]) ).
fof(f45371,plain,
( spl168_389
<=> ! [X121] :
( ~ v1_funct_1(X121)
| v2_funct_1(k5_relat_1(X121,sK158))
| ~ v2_funct_1(X121)
| ~ v1_relat_1(X121) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_389])]) ).
fof(f45369,plain,
( ! [X121] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X121)
| ~ v1_relat_1(X121)
| ~ v2_funct_1(X121)
| v2_funct_1(k5_relat_1(X121,sK158)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f44953,f38995]) ).
fof(f44953,plain,
( ! [X121] :
( v2_funct_1(k5_relat_1(X121,sK158))
| ~ v2_funct_1(sK158)
| ~ v2_funct_1(X121)
| ~ v1_funct_1(X121)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X121) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37874]) ).
fof(f45365,plain,
( ~ spl168_354
| spl168_388
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45155,f38988,f45363,f45189]) ).
fof(f45363,plain,
( spl168_388
<=> ! [X575,X574] :
( ~ sQ167_eqProxy(k5_relat_1(X574,X575),k5_relat_1(sK158,X575))
| ~ v1_funct_1(X575)
| ~ v1_relat_1(X575)
| sQ167_eqProxy(X574,sK158)
| ~ v1_relat_1(X574)
| ~ r1_tarski(k2_relat_1(X574),k1_relat_1(X575))
| ~ v1_funct_1(X574)
| ~ sQ167_eqProxy(k1_relat_1(X574),k1_relat_1(sK158))
| ~ v2_funct_1(X575)
| ~ r1_tarski(k2_relat_1(sK158),k1_relat_1(X575)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_388])]) ).
fof(f45155,plain,
( ! [X574,X575] :
( ~ sQ167_eqProxy(k5_relat_1(X574,X575),k5_relat_1(sK158,X575))
| ~ r1_tarski(k2_relat_1(sK158),k1_relat_1(X575))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(X575)
| ~ sQ167_eqProxy(k1_relat_1(X574),k1_relat_1(sK158))
| ~ v1_funct_1(X574)
| ~ r1_tarski(k2_relat_1(X574),k1_relat_1(X575))
| ~ v1_relat_1(X574)
| sQ167_eqProxy(X574,sK158)
| ~ v1_relat_1(X575)
| ~ v1_funct_1(X575) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38834]) ).
fof(f38834,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ sQ167_eqProxy(k5_relat_1(X1,X0),k5_relat_1(X2,X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ sQ167_eqProxy(k1_relat_1(X1),k1_relat_1(X2))
| ~ v1_relat_1(X0)
| sQ167_eqProxy(X1,X2)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f38083,f38579,f38579,f38579]) ).
fof(f38083,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ v1_funct_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| ~ v1_relat_1(X2)
| X1 = X2
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f37151]) ).
fof(f37151,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ( ! [X1] :
( ! [X2] :
( k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2
| ~ v1_relat_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| ~ v1_funct_1(X2)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
<=> v2_funct_1(X0) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f37150]) ).
fof(f37150,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
<=> v2_funct_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f983]) ).
fof(f983,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
& r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
& k5_relat_1(X1,X0) = k5_relat_1(X2,X0)
& k1_relat_1(X1) = k1_relat_1(X2) )
=> X1 = X2 ) ) )
<=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_funct_1) ).
fof(f45361,plain,
( ~ spl168_354
| ~ spl168_368
| spl168_387
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45357,f38993,f38988,f45359,f45259,f45189]) ).
fof(f45359,plain,
( spl168_387
<=> ! [X426] :
( sQ167_eqProxy(k3_finseq_1(sK158),k3_finseq_1(X426))
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(X426))
| ~ v1_relat_1(X426)
| ~ v1_funct_1(X426)
| ~ v1_finseq_1(X426)
| ~ v2_funct_1(X426) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_387])]) ).
fof(f45357,plain,
( ! [X426] :
( sQ167_eqProxy(k3_finseq_1(sK158),k3_finseq_1(X426))
| ~ v1_finseq_1(sK158)
| ~ v2_funct_1(X426)
| ~ v1_finseq_1(X426)
| ~ v1_funct_1(X426)
| ~ v1_relat_1(X426)
| ~ v1_relat_1(sK158)
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(X426)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45085,f38995]) ).
fof(f45085,plain,
( ! [X426] :
( ~ v2_funct_1(X426)
| ~ v2_funct_1(sK158)
| ~ v1_relat_1(X426)
| ~ sQ167_eqProxy(k2_relat_1(sK158),k2_relat_1(X426))
| sQ167_eqProxy(k3_finseq_1(sK158),k3_finseq_1(X426))
| ~ v1_finseq_1(sK158)
| ~ v1_funct_1(X426)
| ~ v1_finseq_1(X426)
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38689]) ).
fof(f45353,plain,
( ~ spl168_354
| spl168_386
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44933,f38988,f45351,f45189]) ).
fof(f45351,plain,
( spl168_386
<=> ! [X79] :
( ~ v1_relat_1(X79)
| ~ v1_funct_1(X79)
| v1_funct_1(sK38(sK158,X79))
| sP40(sK39(sK158,X79),X79,sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_386])]) ).
fof(f44933,plain,
( ! [X79] :
( ~ v1_relat_1(X79)
| sP40(sK39(sK158,X79),X79,sK158)
| v1_funct_1(sK38(sK158,X79))
| ~ v1_funct_1(X79)
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37708]) ).
fof(f45349,plain,
( ~ spl168_383
| spl168_384
| ~ spl168_385
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45020,f38988,f45346,f45343,f45339]) ).
fof(f45339,plain,
( spl168_383
<=> m2_relset_1(sK158,np__0,np__0) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_383])]) ).
fof(f45343,plain,
( spl168_384
<=> ! [X273,X272,X271] :
( ~ m2_relset_1(X271,np__0,X272)
| r1_tarski(k3_funct_2(np__0,np__0,sK158,X273),k3_funct_2(np__0,X272,k1_partfun1(np__0,np__0,np__0,X272,sK158,X271),k2_funct_2(np__0,X272,X271,X273)))
| ~ v1_funct_2(X271,np__0,X272)
| ~ v1_funct_1(X271) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_384])]) ).
fof(f45346,plain,
( spl168_385
<=> v1_funct_2(sK158,np__0,np__0) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_385])]) ).
fof(f45020,plain,
( ! [X273,X271,X272] :
( ~ v1_funct_2(sK158,np__0,np__0)
| ~ m2_relset_1(X271,np__0,X272)
| ~ v1_funct_1(X271)
| ~ v1_funct_2(X271,np__0,X272)
| ~ m2_relset_1(sK158,np__0,np__0)
| r1_tarski(k3_funct_2(np__0,np__0,sK158,X273),k3_funct_2(np__0,X272,k1_partfun1(np__0,np__0,np__0,X272,sK158,X271),k2_funct_2(np__0,X272,X271,X273))) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38501]) ).
fof(f38501,plain,
! [X3,X1,X4,X5] :
( ~ m2_relset_1(X5,np__0,X3)
| ~ v1_funct_2(X1,np__0,np__0)
| ~ m2_relset_1(X1,np__0,np__0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X5,np__0,X3)
| ~ v1_funct_1(X5)
| r1_tarski(k3_funct_2(np__0,np__0,X1,X4),k3_funct_2(np__0,X3,k1_partfun1(np__0,np__0,np__0,X3,X1,X5),k2_funct_2(np__0,X3,X5,X4))) ),
inference(equality_resolution,[],[f38500]) ).
fof(f38500,plain,
! [X2,X3,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,np__0,X3)
| ~ v1_funct_2(X5,np__0,X3)
| r1_tarski(k3_funct_2(X2,np__0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,np__0,np__0,X3,X1,X5),k2_funct_2(np__0,X3,X5,X4)))
| np__0 != X2
| ~ m2_relset_1(X1,X2,np__0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,np__0) ),
inference(equality_resolution,[],[f38422]) ).
fof(f38422,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| np__0 != X0
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| np__0 != X2
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(definition_unfolding,[],[f37529,f38238,f38238]) ).
fof(f37529,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X5)
| ~ m2_relset_1(X5,X0,X3)
| ~ v1_funct_2(X5,X0,X3)
| k1_xboole_0 != X0
| r1_tarski(k3_funct_2(X2,X0,X1,X4),k3_funct_2(X2,X3,k1_partfun1(X2,X0,X0,X3,X1,X5),k2_funct_2(X0,X3,X5,X4)))
| k1_xboole_0 != X2
| ~ m2_relset_1(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f37112]) ).
fof(f45336,plain,
( ~ spl168_354
| spl168_382
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45332,f38993,f38988,f45334,f45189]) ).
fof(f45334,plain,
( spl168_382
<=> ! [X570,X571] :
( ~ sQ167_eqProxy(k1_funct_1(sK158,X571),k1_funct_1(sK158,X570))
| ~ r2_hidden(X570,k1_relat_1(sK158))
| sQ167_eqProxy(X571,X570)
| ~ r2_hidden(X571,k1_relat_1(sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_382])]) ).
fof(f45332,plain,
( ! [X570,X571] :
( ~ sQ167_eqProxy(k1_funct_1(sK158,X571),k1_funct_1(sK158,X570))
| ~ r2_hidden(X571,k1_relat_1(sK158))
| sQ167_eqProxy(X571,X570)
| ~ r2_hidden(X570,k1_relat_1(sK158))
| ~ v1_relat_1(sK158) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45150,f38995]) ).
fof(f45150,plain,
( ! [X570,X571] :
( ~ r2_hidden(X571,k1_relat_1(sK158))
| ~ sQ167_eqProxy(k1_funct_1(sK158,X571),k1_funct_1(sK158,X570))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(sK158)
| ~ r2_hidden(X570,k1_relat_1(sK158))
| sQ167_eqProxy(X571,X570) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38830]) ).
fof(f38830,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ sQ167_eqProxy(k1_funct_1(X0,X1),k1_funct_1(X0,X2))
| ~ r2_hidden(X1,k1_relat_1(X0))
| sQ167_eqProxy(X1,X2)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f38077,f38579,f38579]) ).
fof(f38077,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| X1 = X2
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ v2_funct_1(X0) ),
inference(cnf_transformation,[],[f36748]) ).
fof(f36748,plain,
! [X0] :
( ( v2_funct_1(X0)
<=> ! [X2,X1] :
( ~ r2_hidden(X2,k1_relat_1(X0))
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| X1 = X2
| ~ r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f36747]) ).
fof(f36747,plain,
! [X0] :
( ( ! [X1,X2] :
( X1 = X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| ~ r2_hidden(X2,k1_relat_1(X0)) )
<=> v2_funct_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f36540]) ).
fof(f36540,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
& k1_funct_1(X0,X1) = k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0)) )
=> X1 = X2 )
<=> v2_funct_1(X0) ) ),
inference(rectify,[],[f978]) ).
fof(f978,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X2,X1] :
( ( r2_hidden(X1,k1_relat_1(X0))
& k1_funct_1(X0,X1) = k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0)) )
=> X1 = X2 )
<=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f45331,plain,
( ~ spl168_354
| spl168_381
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45327,f38988,f45329,f45189]) ).
fof(f45329,plain,
( spl168_381
<=> ! [X402] :
( ~ v1_funct_1(k2_xboole_0(X402,sK158))
| ~ v1_relat_1(X402)
| sQ167_eqProxy(k2_xboole_0(k2_relat_1(X402),k2_relat_1(sK158)),k2_relat_1(k2_xboole_0(X402,sK158)))
| ~ v1_funct_1(X402) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_381])]) ).
fof(f45327,plain,
( ! [X402] :
( ~ v1_funct_1(k2_xboole_0(X402,sK158))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X402)
| sQ167_eqProxy(k2_xboole_0(k2_relat_1(X402),k2_relat_1(sK158)),k2_relat_1(k2_xboole_0(X402,sK158)))
| ~ v1_relat_1(X402) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45073,f37815]) ).
fof(f45073,plain,
( ! [X402] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X402)
| ~ v1_relat_1(X402)
| ~ v1_funct_1(k2_xboole_0(X402,sK158))
| sQ167_eqProxy(k2_xboole_0(k2_relat_1(X402),k2_relat_1(sK158)),k2_relat_1(k2_xboole_0(X402,sK158)))
| ~ v1_relat_1(k2_xboole_0(X402,sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38658]) ).
fof(f38658,plain,
! [X2,X1] :
( ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k2_xboole_0(X1,X2))
| sQ167_eqProxy(k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)),k2_relat_1(k2_xboole_0(X1,X2))) ),
inference(equality_proxy_replacement,[],[f38524,f38579]) ).
fof(f38524,plain,
! [X2,X1] :
( ~ v1_funct_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)) = k2_relat_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k2_xboole_0(X1,X2)) ),
inference(equality_resolution,[],[f37616]) ).
fof(f37616,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k2_xboole_0(X1,X2) != X0
| k2_relat_1(X0) = k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37157]) ).
fof(f45326,plain,
( ~ spl168_354
| spl168_380
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45322,f38988,f45324,f45189]) ).
fof(f45324,plain,
( spl168_380
<=> ! [X324,X325] :
( ~ r2_hidden(X324,k1_relat_1(k3_xboole_0(X325,sK158)))
| ~ v1_relat_1(X325)
| sQ167_eqProxy(k1_funct_1(X325,X324),k1_funct_1(k3_xboole_0(X325,sK158),X324))
| ~ v1_funct_1(X325) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_380])]) ).
fof(f45322,plain,
( ! [X324,X325] :
( ~ r2_hidden(X324,k1_relat_1(k3_xboole_0(X325,sK158)))
| ~ v1_funct_1(X325)
| ~ v1_relat_1(sK158)
| sQ167_eqProxy(k1_funct_1(X325,X324),k1_funct_1(k3_xboole_0(X325,sK158),X324))
| ~ v1_relat_1(X325) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45321,f37986]) ).
fof(f45321,plain,
( ! [X324,X325] :
( ~ v1_relat_1(X325)
| ~ v1_funct_1(X325)
| ~ v1_relat_1(sK158)
| ~ r2_hidden(X324,k1_relat_1(k3_xboole_0(X325,sK158)))
| ~ v1_relat_1(k3_xboole_0(X325,sK158))
| sQ167_eqProxy(k1_funct_1(X325,X324),k1_funct_1(k3_xboole_0(X325,sK158),X324)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45046,f37822]) ).
fof(f45046,plain,
( ! [X324,X325] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(X325)
| ~ r2_hidden(X324,k1_relat_1(k3_xboole_0(X325,sK158)))
| sQ167_eqProxy(k1_funct_1(X325,X324),k1_funct_1(k3_xboole_0(X325,sK158),X324))
| ~ v1_funct_1(k3_xboole_0(X325,sK158))
| ~ v1_relat_1(X325)
| ~ v1_relat_1(k3_xboole_0(X325,sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38613]) ).
fof(f38613,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X0,k1_relat_1(k3_xboole_0(X2,X3)))
| ~ v1_funct_1(k3_xboole_0(X2,X3))
| sQ167_eqProxy(k1_funct_1(X2,X0),k1_funct_1(k3_xboole_0(X2,X3),X0))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3) ),
inference(equality_proxy_replacement,[],[f38498,f38579]) ).
fof(f38498,plain,
! [X2,X3,X0] :
( ~ v1_funct_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(k3_xboole_0(X2,X3))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k3_xboole_0(X2,X3)))
| ~ v1_relat_1(X3)
| k1_funct_1(X2,X0) = k1_funct_1(k3_xboole_0(X2,X3),X0)
| ~ v1_funct_1(X3) ),
inference(equality_resolution,[],[f37527]) ).
fof(f37527,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X3)
| k1_funct_1(X2,X0) = k1_funct_1(X1,X0)
| ~ v1_funct_1(X3)
| k3_xboole_0(X2,X3) != X1 ),
inference(cnf_transformation,[],[f36813]) ).
fof(f45320,plain,
( ~ spl168_354
| spl168_379
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45316,f38988,f45318,f45189]) ).
fof(f45318,plain,
( spl168_379
<=> ! [X403] :
( sQ167_eqProxy(k2_xboole_0(k2_relat_1(sK158),k2_relat_1(X403)),k2_relat_1(k2_xboole_0(sK158,X403)))
| ~ v1_funct_1(X403)
| ~ v1_funct_1(k2_xboole_0(sK158,X403))
| ~ v1_relat_1(X403) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_379])]) ).
fof(f45316,plain,
( ! [X403] :
( sQ167_eqProxy(k2_xboole_0(k2_relat_1(sK158),k2_relat_1(X403)),k2_relat_1(k2_xboole_0(sK158,X403)))
| ~ v1_relat_1(X403)
| ~ v1_funct_1(k2_xboole_0(sK158,X403))
| ~ v1_funct_1(X403)
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45074,f37815]) ).
fof(f45074,plain,
( ! [X403] :
( ~ v1_relat_1(k2_xboole_0(sK158,X403))
| ~ v1_funct_1(k2_xboole_0(sK158,X403))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X403)
| ~ v1_funct_1(X403)
| sQ167_eqProxy(k2_xboole_0(k2_relat_1(sK158),k2_relat_1(X403)),k2_relat_1(k2_xboole_0(sK158,X403))) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38658]) ).
fof(f45315,plain,
( ~ spl168_354
| spl168_378
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45089,f38988,f45313,f45189]) ).
fof(f45313,plain,
( spl168_378
<=> ! [X432] :
( ~ v1_relat_1(X432)
| ~ v1_funct_1(X432)
| ~ v2_funct_1(k5_relat_1(sK158,X432))
| ~ sQ167_eqProxy(k1_relat_1(X432),k2_relat_1(sK158))
| v2_funct_1(X432) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_378])]) ).
fof(f45089,plain,
( ! [X432] :
( ~ v1_relat_1(X432)
| ~ v1_relat_1(sK158)
| v2_funct_1(X432)
| ~ sQ167_eqProxy(k1_relat_1(X432),k2_relat_1(sK158))
| ~ v2_funct_1(k5_relat_1(sK158,X432))
| ~ v1_funct_1(X432) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38692]) ).
fof(f38692,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| v2_funct_1(X0)
| ~ sQ167_eqProxy(k1_relat_1(X0),k2_relat_1(X1)) ),
inference(equality_proxy_replacement,[],[f37704,f38579]) ).
fof(f37704,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| v2_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f37036]) ).
fof(f45311,plain,
( ~ spl168_354
| ~ spl168_368
| spl168_377
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45307,f38993,f38988,f45309,f45259,f45189]) ).
fof(f45309,plain,
( spl168_377
<=> ! [X304] :
( ~ v1_relat_1(X304)
| ~ sQ167_eqProxy(k3_finseq_1(X304),k3_finseq_1(sK158))
| ~ v1_finseq_1(X304)
| v2_funct_1(X304)
| ~ sQ167_eqProxy(k2_relat_1(X304),k2_relat_1(sK158))
| ~ v1_funct_1(X304) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_377])]) ).
fof(f45307,plain,
( ! [X304] :
( ~ v1_relat_1(X304)
| ~ v1_finseq_1(sK158)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X304)
| ~ sQ167_eqProxy(k2_relat_1(X304),k2_relat_1(sK158))
| v2_funct_1(X304)
| ~ v1_finseq_1(X304)
| ~ sQ167_eqProxy(k3_finseq_1(X304),k3_finseq_1(sK158)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45037,f38995]) ).
fof(f45037,plain,
( ! [X304] :
( ~ sQ167_eqProxy(k3_finseq_1(X304),k3_finseq_1(sK158))
| ~ sQ167_eqProxy(k2_relat_1(X304),k2_relat_1(sK158))
| ~ v1_finseq_1(sK158)
| ~ v1_finseq_1(X304)
| ~ v1_funct_1(X304)
| ~ v2_funct_1(sK158)
| ~ v1_relat_1(X304)
| ~ v1_relat_1(sK158)
| v2_funct_1(X304) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38592]) ).
fof(f38592,plain,
! [X0,X1] :
( ~ v2_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ sQ167_eqProxy(k2_relat_1(X0),k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| v2_funct_1(X0)
| ~ sQ167_eqProxy(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X1) ),
inference(equality_proxy_replacement,[],[f37490,f38579,f38579]) ).
fof(f37490,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| k2_relat_1(X0) != k2_relat_1(X1)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| v2_funct_1(X0)
| ~ v2_funct_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37176]) ).
fof(f37176,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| ! [X1] :
( ~ v2_funct_1(X1)
| v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X1)
| k2_relat_1(X0) != k2_relat_1(X1)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37175]) ).
fof(f37175,plain,
! [X0] :
( ! [X1] :
( v2_funct_1(X0)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| ~ v2_funct_1(X1)
| k2_relat_1(X0) != k2_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f9674]) ).
fof(f9674,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_finseq_1(X1)
& v1_relat_1(X1) )
=> ( ( k3_finseq_1(X0) = k3_finseq_1(X1)
& v2_funct_1(X1)
& k2_relat_1(X0) = k2_relat_1(X1) )
=> v2_funct_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_finseq_4) ).
fof(f45306,plain,
( ~ spl168_354
| spl168_376
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44915,f38988,f45304,f45189]) ).
fof(f45304,plain,
( spl168_376
<=> ! [X36] :
( ~ r1_tarski(X36,sK158)
| v1_funct_1(X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_376])]) ).
fof(f44915,plain,
( ! [X36] :
( ~ r1_tarski(X36,sK158)
| v1_funct_1(X36)
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37574]) ).
fof(f37574,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X0)
| v1_funct_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37099]) ).
fof(f37099,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ r1_tarski(X1,X0) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f37098]) ).
fof(f37098,plain,
! [X0] :
( ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ r1_tarski(X1,X0) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1115]) ).
fof(f1115,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( r1_tarski(X1,X0)
=> ( v1_relat_1(X1)
& v1_funct_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_grfunc_1) ).
fof(f45302,plain,
( ~ spl168_354
| spl168_375
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45298,f38988,f45300,f45189]) ).
fof(f45300,plain,
( spl168_375
<=> ! [X413,X414] :
( sQ167_eqProxy(k1_funct_1(X413,X414),k1_funct_1(sK158,X414))
| ~ v1_funct_1(X413)
| ~ v1_relat_1(X413)
| ~ r2_hidden(X414,k3_xboole_0(k1_relat_1(X413),k1_relat_1(sK158)))
| ~ v1_funct_1(k2_xboole_0(X413,sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_375])]) ).
fof(f45298,plain,
( ! [X414,X413] :
( sQ167_eqProxy(k1_funct_1(X413,X414),k1_funct_1(sK158,X414))
| ~ v1_funct_1(k2_xboole_0(X413,sK158))
| ~ r2_hidden(X414,k3_xboole_0(k1_relat_1(X413),k1_relat_1(sK158)))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X413)
| ~ v1_funct_1(X413) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45080,f37815]) ).
fof(f45080,plain,
( ! [X414,X413] :
( ~ v1_relat_1(sK158)
| ~ v1_relat_1(X413)
| ~ v1_relat_1(k2_xboole_0(X413,sK158))
| sQ167_eqProxy(k1_funct_1(X413,X414),k1_funct_1(sK158,X414))
| ~ v1_funct_1(X413)
| ~ r2_hidden(X414,k3_xboole_0(k1_relat_1(X413),k1_relat_1(sK158)))
| ~ v1_funct_1(k2_xboole_0(X413,sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38676]) ).
fof(f45297,plain,
( ~ spl168_354
| spl168_374
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45293,f38988,f45295,f45189]) ).
fof(f45295,plain,
( spl168_374
<=> ! [X318,X319] :
( sQ167_eqProxy(k1_funct_1(X318,X319),k1_funct_1(k3_xboole_0(sK158,X318),X319))
| ~ v1_funct_1(k3_xboole_0(sK158,X318))
| ~ v1_relat_1(X318)
| ~ r2_hidden(X319,k1_relat_1(k3_xboole_0(sK158,X318)))
| ~ v1_funct_1(X318) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_374])]) ).
fof(f45293,plain,
( ! [X319,X318] :
( sQ167_eqProxy(k1_funct_1(X318,X319),k1_funct_1(k3_xboole_0(sK158,X318),X319))
| ~ v1_funct_1(X318)
| ~ v1_relat_1(sK158)
| ~ r2_hidden(X319,k1_relat_1(k3_xboole_0(sK158,X318)))
| ~ v1_relat_1(X318)
| ~ v1_funct_1(k3_xboole_0(sK158,X318)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45043,f37986]) ).
fof(f45043,plain,
( ! [X319,X318] :
( ~ r2_hidden(X319,k1_relat_1(k3_xboole_0(sK158,X318)))
| ~ v1_relat_1(k3_xboole_0(sK158,X318))
| ~ v1_funct_1(k3_xboole_0(sK158,X318))
| ~ v1_funct_1(X318)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X318)
| sQ167_eqProxy(k1_funct_1(X318,X319),k1_funct_1(k3_xboole_0(sK158,X318),X319)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38612]) ).
fof(f45292,plain,
( ~ spl168_354
| spl168_373
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45288,f38993,f38988,f45290,f45189]) ).
fof(f45290,plain,
( spl168_373
<=> ! [X292] :
( ~ r1_xboole_0(k2_relat_1(sK158),k2_relat_1(X292))
| ~ v2_funct_1(X292)
| ~ v1_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_funct_1(X292)
| v2_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_relat_1(X292) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_373])]) ).
fof(f45288,plain,
( ! [X292] :
( ~ r1_xboole_0(k2_relat_1(sK158),k2_relat_1(X292))
| ~ v1_relat_1(X292)
| v2_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X292)
| ~ v1_funct_1(k2_xboole_0(sK158,X292))
| ~ v2_funct_1(X292) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45287,f37815]) ).
fof(f45287,plain,
( ! [X292] :
( ~ r1_xboole_0(k2_relat_1(sK158),k2_relat_1(X292))
| v2_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_funct_1(X292)
| ~ v2_funct_1(X292)
| ~ v1_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_relat_1(X292)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(k2_xboole_0(sK158,X292)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45031,f38995]) ).
fof(f45031,plain,
( ! [X292] :
( ~ r1_xboole_0(k2_relat_1(sK158),k2_relat_1(X292))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(X292)
| ~ v2_funct_1(sK158)
| v2_funct_1(k2_xboole_0(sK158,X292))
| ~ v1_funct_1(X292)
| ~ v1_relat_1(X292)
| ~ v1_relat_1(k2_xboole_0(sK158,X292))
| ~ v1_funct_1(k2_xboole_0(sK158,X292)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38547]) ).
fof(f45282,plain,
( ~ spl168_354
| spl168_372
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45278,f38988,f45280,f45189]) ).
fof(f45280,plain,
( spl168_372
<=> ! [X282] :
( ~ v1_relat_1(X282)
| v2_funct_1(k3_xboole_0(sK158,X282))
| ~ v1_funct_1(k3_xboole_0(sK158,X282))
| ~ v2_funct_1(X282)
| ~ v1_funct_1(X282) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_372])]) ).
fof(f45278,plain,
( ! [X282] :
( ~ v1_relat_1(X282)
| ~ v1_funct_1(X282)
| ~ v2_funct_1(X282)
| ~ v1_funct_1(k3_xboole_0(sK158,X282))
| ~ v1_relat_1(sK158)
| v2_funct_1(k3_xboole_0(sK158,X282)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45023,f37986]) ).
fof(f45023,plain,
( ! [X282] :
( ~ v1_funct_1(k3_xboole_0(sK158,X282))
| ~ v1_relat_1(X282)
| ~ v1_relat_1(k3_xboole_0(sK158,X282))
| v2_funct_1(k3_xboole_0(sK158,X282))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(X282)
| ~ v1_funct_1(X282) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38517]) ).
fof(f38517,plain,
! [X0,X1] :
( v2_funct_1(k3_xboole_0(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_funct_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X1) ),
inference(equality_resolution,[],[f37587]) ).
fof(f37587,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| v2_funct_1(X2)
| ~ v1_funct_1(X2)
| k3_xboole_0(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f37153]) ).
fof(f45275,plain,
( ~ spl168_354
| spl168_371
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45096,f38988,f45273,f45189]) ).
fof(f45273,plain,
( spl168_371
<=> ! [X441] :
( ~ v1_funct_1(X441)
| ~ sQ167_eqProxy(k2_relat_1(X441),k2_relat_1(k5_relat_1(sK158,X441)))
| ~ v2_funct_1(X441)
| ~ v1_relat_1(X441)
| r1_tarski(k1_relat_1(X441),k2_relat_1(sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_371])]) ).
fof(f45096,plain,
( ! [X441] :
( ~ v1_funct_1(X441)
| r1_tarski(k1_relat_1(X441),k2_relat_1(sK158))
| ~ v1_relat_1(X441)
| ~ v2_funct_1(X441)
| ~ v1_relat_1(sK158)
| ~ sQ167_eqProxy(k2_relat_1(X441),k2_relat_1(k5_relat_1(sK158,X441))) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38697]) ).
fof(f45271,plain,
( ~ spl168_354
| spl168_370
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45267,f38988,f45269,f45189]) ).
fof(f45269,plain,
( spl168_370
<=> ! [X537,X536] :
( sQ167_eqProxy(k1_funct_1(sK158,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537))
| ~ v1_funct_1(X536)
| sQ167_eqProxy(k1_funct_1(X536,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537))
| ~ v1_relat_1(X536)
| ~ r2_hidden(X537,k1_relat_1(k2_xboole_0(sK158,X536)))
| ~ v1_funct_1(k2_xboole_0(sK158,X536)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_370])]) ).
fof(f45267,plain,
( ! [X537,X536] :
( sQ167_eqProxy(k1_funct_1(sK158,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537))
| ~ v1_funct_1(k2_xboole_0(sK158,X536))
| ~ r2_hidden(X537,k1_relat_1(k2_xboole_0(sK158,X536)))
| ~ v1_relat_1(X536)
| sQ167_eqProxy(k1_funct_1(X536,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X536) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45133,f37815]) ).
fof(f45133,plain,
( ! [X537,X536] :
( ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(sK158,X536))
| ~ r2_hidden(X537,k1_relat_1(k2_xboole_0(sK158,X536)))
| sQ167_eqProxy(k1_funct_1(sK158,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537))
| ~ v1_relat_1(k2_xboole_0(sK158,X536))
| ~ v1_funct_1(X536)
| ~ v1_relat_1(X536)
| sQ167_eqProxy(k1_funct_1(X536,X537),k1_funct_1(k2_xboole_0(sK158,X536),X537)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38774]) ).
fof(f38774,plain,
! [X2,X3,X1] :
( sQ167_eqProxy(k1_funct_1(X3,X1),k1_funct_1(k2_xboole_0(X2,X3),X1))
| ~ v1_funct_1(k2_xboole_0(X2,X3))
| sQ167_eqProxy(k1_funct_1(X2,X1),k1_funct_1(k2_xboole_0(X2,X3),X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k2_xboole_0(X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k2_xboole_0(X2,X3))) ),
inference(equality_proxy_replacement,[],[f38544,f38579,f38579]) ).
fof(f38544,plain,
! [X2,X3,X1] :
( ~ v1_funct_1(k2_xboole_0(X2,X3))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,X1) = k1_funct_1(k2_xboole_0(X2,X3),X1)
| k1_funct_1(X2,X1) = k1_funct_1(k2_xboole_0(X2,X3),X1)
| ~ r2_hidden(X1,k1_relat_1(k2_xboole_0(X2,X3)))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k2_xboole_0(X2,X3)) ),
inference(equality_resolution,[],[f37924]) ).
fof(f37924,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| k1_funct_1(X0,X1) = k1_funct_1(X3,X1)
| k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(X0))
| k2_xboole_0(X2,X3) != X0
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f36899]) ).
fof(f36899,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ! [X2] :
( ~ v1_funct_1(X2)
| ! [X3] :
( k2_xboole_0(X2,X3) != X0
| ~ r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| k1_funct_1(X0,X1) = k1_funct_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) )
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f36898]) ).
fof(f36898,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( k1_funct_1(X0,X1) = k1_funct_1(X3,X1)
| k1_funct_1(X0,X1) = k1_funct_1(X2,X1)
| k2_xboole_0(X2,X3) != X0
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f36634]) ).
fof(f36634,plain,
! [X1,X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ~ ( k1_funct_1(X0,X1) != k1_funct_1(X3,X1)
& k1_funct_1(X0,X1) != k1_funct_1(X2,X1)
& k2_xboole_0(X2,X3) = X0
& r2_hidden(X1,k1_relat_1(X0)) ) ) ) ),
inference(rectify,[],[f1145]) ).
fof(f1145,axiom,
! [X1,X0] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ~ ( k2_xboole_0(X2,X3) = X1
& r2_hidden(X0,k1_relat_1(X1))
& k1_funct_1(X2,X0) != k1_funct_1(X1,X0)
& k1_funct_1(X1,X0) != k1_funct_1(X3,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_grfunc_1) ).
fof(f45266,plain,
( ~ spl168_354
| spl168_369
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44983,f38988,f45264,f45189]) ).
fof(f45264,plain,
( spl168_369
<=> ! [X171] :
( v2_funct_1(X171)
| ~ v2_funct_1(k5_relat_1(X171,sK158))
| ~ r1_tarski(k2_relat_1(X171),k1_relat_1(sK158))
| ~ v1_relat_1(X171)
| ~ v1_funct_1(X171) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_369])]) ).
fof(f44983,plain,
( ! [X171] :
( v2_funct_1(X171)
| ~ v1_funct_1(X171)
| ~ v1_relat_1(X171)
| ~ r1_tarski(k2_relat_1(X171),k1_relat_1(sK158))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(k5_relat_1(X171,sK158)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38128]) ).
fof(f38128,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ~ v1_funct_1(X0)
| v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f37014]) ).
fof(f37014,plain,
! [X0] :
( ! [X1] :
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f37013]) ).
fof(f37013,plain,
! [X0] :
( ! [X1] :
( v2_funct_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f981]) ).
fof(f981,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( v2_funct_1(k5_relat_1(X1,X0))
& r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) )
=> v2_funct_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f45262,plain,
( ~ spl168_354
| ~ spl168_366
| spl168_367
| ~ spl168_368
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45249,f38993,f38988,f45259,f45255,f45251,f45189]) ).
fof(f45251,plain,
( spl168_366
<=> r1_tarski(k2_relat_1(sK158),k4_finseq_1(sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_366])]) ).
fof(f45255,plain,
( spl168_367
<=> sQ167_eqProxy(k2_relat_1(sK158),k4_finseq_1(sK158)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_367])]) ).
fof(f45249,plain,
( ~ v1_finseq_1(sK158)
| sQ167_eqProxy(k2_relat_1(sK158),k4_finseq_1(sK158))
| ~ r1_tarski(k2_relat_1(sK158),k4_finseq_1(sK158))
| ~ v1_relat_1(sK158)
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45054,f38995]) ).
fof(f45054,plain,
( sQ167_eqProxy(k2_relat_1(sK158),k4_finseq_1(sK158))
| ~ v2_funct_1(sK158)
| ~ v1_finseq_1(sK158)
| ~ r1_tarski(k2_relat_1(sK158),k4_finseq_1(sK158))
| ~ v1_relat_1(sK158)
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38632]) ).
fof(f38632,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| sQ167_eqProxy(k2_relat_1(X0),k4_finseq_1(X0))
| ~ r1_tarski(k2_relat_1(X0),k4_finseq_1(X0))
| ~ v1_funct_1(X0)
| ~ v2_funct_1(X0) ),
inference(equality_proxy_replacement,[],[f37571,f38579]) ).
fof(f37571,plain,
! [X0] :
( ~ v2_funct_1(X0)
| ~ v1_finseq_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k4_finseq_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| k2_relat_1(X0) = k4_finseq_1(X0) ),
inference(cnf_transformation,[],[f36866]) ).
fof(f36866,plain,
! [X0] :
( k2_relat_1(X0) = k4_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k4_finseq_1(X0))
| ~ v1_finseq_1(X0)
| ~ v2_funct_1(X0) ),
inference(flattening,[],[f36865]) ).
fof(f36865,plain,
! [X0] :
( k2_relat_1(X0) = k4_finseq_1(X0)
| ~ v2_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k4_finseq_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f9672]) ).
fof(f9672,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_finseq_1(X0)
& v1_funct_1(X0) )
=> ( ( v2_funct_1(X0)
& r1_tarski(k2_relat_1(X0),k4_finseq_1(X0)) )
=> k2_relat_1(X0) = k4_finseq_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_finseq_4) ).
fof(f45248,plain,
( ~ spl168_354
| spl168_365
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45156,f38988,f45246,f45189]) ).
fof(f45246,plain,
( spl168_365
<=> ! [X577,X576] :
( sQ167_eqProxy(sK158,X577)
| ~ sQ167_eqProxy(k1_relat_1(sK158),k1_relat_1(X577))
| ~ v1_relat_1(X576)
| ~ v2_funct_1(X576)
| ~ sQ167_eqProxy(k5_relat_1(sK158,X576),k5_relat_1(X577,X576))
| ~ r1_tarski(k2_relat_1(X577),k1_relat_1(X576))
| ~ v1_funct_1(X576)
| ~ r1_tarski(k2_relat_1(sK158),k1_relat_1(X576))
| ~ v1_funct_1(X577)
| ~ v1_relat_1(X577) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_365])]) ).
fof(f45156,plain,
( ! [X576,X577] :
( sQ167_eqProxy(sK158,X577)
| ~ v1_relat_1(X577)
| ~ v1_funct_1(X577)
| ~ v1_funct_1(X576)
| ~ r1_tarski(k2_relat_1(sK158),k1_relat_1(X576))
| ~ r1_tarski(k2_relat_1(X577),k1_relat_1(X576))
| ~ sQ167_eqProxy(k5_relat_1(sK158,X576),k5_relat_1(X577,X576))
| ~ v2_funct_1(X576)
| ~ v1_relat_1(X576)
| ~ sQ167_eqProxy(k1_relat_1(sK158),k1_relat_1(X577))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38834]) ).
fof(f45244,plain,
( ~ spl168_354
| spl168_364
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44941,f38988,f45242,f45189]) ).
fof(f45242,plain,
( spl168_364
<=> ! [X94] : v1_relat_1(k3_xboole_0(sK158,X94)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_364])]) ).
fof(f44941,plain,
( ! [X94] :
( v1_relat_1(k3_xboole_0(sK158,X94))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f37821]) ).
fof(f37821,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f36894]) ).
fof(f45236,plain,
( ~ spl168_354
| spl168_363
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45232,f38988,f45234,f45189]) ).
fof(f45234,plain,
( spl168_363
<=> ! [X401] :
( ~ v1_relat_1(X401)
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(sK158),k1_relat_1(X401)),k1_relat_1(k2_xboole_0(sK158,X401)))
| ~ v1_funct_1(k2_xboole_0(sK158,X401))
| ~ v1_funct_1(X401) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_363])]) ).
fof(f45232,plain,
( ! [X401] :
( ~ v1_relat_1(X401)
| ~ v1_funct_1(X401)
| ~ v1_funct_1(k2_xboole_0(sK158,X401))
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(sK158),k1_relat_1(X401)),k1_relat_1(k2_xboole_0(sK158,X401)))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45072,f37815]) ).
fof(f45072,plain,
( ! [X401] :
( ~ v1_funct_1(X401)
| ~ v1_relat_1(k2_xboole_0(sK158,X401))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X401)
| sQ167_eqProxy(k2_xboole_0(k1_relat_1(sK158),k1_relat_1(X401)),k1_relat_1(k2_xboole_0(sK158,X401)))
| ~ v1_funct_1(k2_xboole_0(sK158,X401)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38657]) ).
fof(f45231,plain,
( ~ spl168_354
| spl168_362
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45227,f38993,f38988,f45229,f45189]) ).
fof(f45229,plain,
( spl168_362
<=> ! [X573,X572] :
( ~ v1_relat_1(X572)
| sQ167_eqProxy(X572,X573)
| ~ r1_tarski(k2_relat_1(X572),k1_relat_1(sK158))
| ~ sQ167_eqProxy(k1_relat_1(X572),k1_relat_1(X573))
| ~ v1_funct_1(X573)
| ~ v1_relat_1(X573)
| ~ r1_tarski(k2_relat_1(X573),k1_relat_1(sK158))
| ~ v1_funct_1(X572)
| ~ sQ167_eqProxy(k5_relat_1(X572,sK158),k5_relat_1(X573,sK158)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_362])]) ).
fof(f45227,plain,
( ! [X573,X572] :
( ~ v1_relat_1(X572)
| ~ sQ167_eqProxy(k5_relat_1(X572,sK158),k5_relat_1(X573,sK158))
| ~ v1_funct_1(X572)
| ~ r1_tarski(k2_relat_1(X573),k1_relat_1(sK158))
| ~ v1_relat_1(X573)
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(X573)
| ~ sQ167_eqProxy(k1_relat_1(X572),k1_relat_1(X573))
| ~ r1_tarski(k2_relat_1(X572),k1_relat_1(sK158))
| sQ167_eqProxy(X572,X573) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45154,f38995]) ).
fof(f45154,plain,
( ! [X573,X572] :
( ~ r1_tarski(k2_relat_1(X572),k1_relat_1(sK158))
| ~ v1_relat_1(X572)
| ~ v1_funct_1(X573)
| ~ v1_funct_1(X572)
| ~ r1_tarski(k2_relat_1(X573),k1_relat_1(sK158))
| ~ v1_relat_1(X573)
| ~ sQ167_eqProxy(k5_relat_1(X572,sK158),k5_relat_1(X573,sK158))
| ~ sQ167_eqProxy(k1_relat_1(X572),k1_relat_1(X573))
| ~ v1_relat_1(sK158)
| ~ v2_funct_1(sK158)
| sQ167_eqProxy(X572,X573) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38834]) ).
fof(f45226,plain,
( ~ spl168_354
| spl168_361
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45222,f38988,f45224,f45189]) ).
fof(f45224,plain,
( spl168_361
<=> ! [X588,X587] :
( ~ v1_funct_1(k2_xboole_0(X587,sK158))
| ~ v1_funct_1(X587)
| sQ167_eqProxy(k1_funct_1(X587,X588),k1_funct_1(k2_xboole_0(X587,sK158),X588))
| ~ r2_hidden(X588,k1_relat_1(X587))
| ~ v1_relat_1(X587) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_361])]) ).
fof(f45222,plain,
( ! [X587,X588] :
( ~ v1_funct_1(k2_xboole_0(X587,sK158))
| ~ v1_relat_1(X587)
| ~ v1_relat_1(sK158)
| ~ r2_hidden(X588,k1_relat_1(X587))
| sQ167_eqProxy(k1_funct_1(X587,X588),k1_funct_1(k2_xboole_0(X587,sK158),X588))
| ~ v1_funct_1(X587) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45161,f37815]) ).
fof(f45161,plain,
( ! [X587,X588] :
( ~ v1_funct_1(X587)
| ~ v1_relat_1(k2_xboole_0(X587,sK158))
| ~ v1_relat_1(sK158)
| ~ v1_funct_1(k2_xboole_0(X587,sK158))
| ~ v1_relat_1(X587)
| sQ167_eqProxy(k1_funct_1(X587,X588),k1_funct_1(k2_xboole_0(X587,sK158),X588))
| ~ r2_hidden(X588,k1_relat_1(X587)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38854]) ).
fof(f45221,plain,
( ~ spl168_354
| spl168_360
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45217,f38988,f45219,f45189]) ).
fof(f45219,plain,
( spl168_360
<=> ! [X538,X539] :
( sQ167_eqProxy(k1_funct_1(X539,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538))
| ~ r2_hidden(X538,k1_relat_1(k2_xboole_0(X539,sK158)))
| ~ v1_funct_1(X539)
| ~ v1_funct_1(k2_xboole_0(X539,sK158))
| ~ v1_relat_1(X539)
| sQ167_eqProxy(k1_funct_1(sK158,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_360])]) ).
fof(f45217,plain,
( ! [X538,X539] :
( sQ167_eqProxy(k1_funct_1(X539,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538))
| sQ167_eqProxy(k1_funct_1(sK158,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538))
| ~ v1_relat_1(X539)
| ~ v1_funct_1(k2_xboole_0(X539,sK158))
| ~ v1_funct_1(X539)
| ~ r2_hidden(X538,k1_relat_1(k2_xboole_0(X539,sK158)))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45134,f37815]) ).
fof(f45134,plain,
( ! [X538,X539] :
( ~ r2_hidden(X538,k1_relat_1(k2_xboole_0(X539,sK158)))
| ~ v1_relat_1(k2_xboole_0(X539,sK158))
| sQ167_eqProxy(k1_funct_1(sK158,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538))
| sQ167_eqProxy(k1_funct_1(X539,X538),k1_funct_1(k2_xboole_0(X539,sK158),X538))
| ~ v1_funct_1(k2_xboole_0(X539,sK158))
| ~ v1_funct_1(X539)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X539) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38774]) ).
fof(f45216,plain,
( ~ spl168_354
| spl168_359
| ~ spl168_9
| ~ spl168_10 ),
inference(avatar_split_clause,[],[f45212,f38993,f38988,f45214,f45189]) ).
fof(f45214,plain,
( spl168_359
<=> ! [X283] :
( v2_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_relat_1(X283)
| ~ v1_funct_1(X283) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_359])]) ).
fof(f45212,plain,
( ! [X283] :
( v2_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_funct_1(X283)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X283) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45211,f37986]) ).
fof(f45211,plain,
( ! [X283] :
( v2_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_funct_1(X283)
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X283)
| ~ v1_relat_1(k3_xboole_0(X283,sK158)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45210,f37822]) ).
fof(f45210,plain,
( ! [X283] :
( ~ v1_relat_1(sK158)
| v2_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_relat_1(X283)
| ~ v1_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_funct_1(X283)
| ~ v1_relat_1(k3_xboole_0(X283,sK158)) )
| ~ spl168_9
| ~ spl168_10 ),
inference(subsumption_resolution,[],[f45024,f38995]) ).
fof(f45024,plain,
( ! [X283] :
( ~ v1_funct_1(X283)
| ~ v1_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_relat_1(X283)
| ~ v2_funct_1(sK158)
| ~ v1_relat_1(k3_xboole_0(X283,sK158))
| v2_funct_1(k3_xboole_0(X283,sK158))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38517]) ).
fof(f45207,plain,
( ~ spl168_357
| spl168_358
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f44996,f38988,f45205,f45201]) ).
fof(f45205,plain,
( spl168_358
<=> ! [X217,X216,X218] :
( ~ r2_fcont_1(X216,X217)
| ~ m2_relset_1(X216,k1_numbers,k1_numbers)
| ~ v1_funct_1(X216)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X216,sK158),k3_xboole_0(X217,k3_funct_2(k1_numbers,k1_numbers,X216,X218)))
| ~ r2_fcont_1(sK158,X218) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_358])]) ).
fof(f44996,plain,
( ! [X218,X216,X217] :
( ~ r2_fcont_1(X216,X217)
| ~ r2_fcont_1(sK158,X218)
| r2_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,X216,sK158),k3_xboole_0(X217,k3_funct_2(k1_numbers,k1_numbers,X216,X218)))
| ~ m2_relset_1(sK158,k1_numbers,k1_numbers)
| ~ v1_funct_1(X216)
| ~ m2_relset_1(X216,k1_numbers,k1_numbers) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38137]) ).
fof(f45199,plain,
( ~ spl168_354
| spl168_356
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45092,f38988,f45197,f45189]) ).
fof(f45197,plain,
( spl168_356
<=> ! [X435] :
( ~ v1_relat_1(X435)
| sQ167_eqProxy(k2_xboole_0(sK158,X435),sK38(sK158,X435))
| ~ v1_funct_1(X435)
| sP40(sK39(sK158,X435),X435,sK158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_356])]) ).
fof(f45092,plain,
( ! [X435] :
( ~ v1_relat_1(X435)
| ~ v1_relat_1(sK158)
| sP40(sK39(sK158,X435),X435,sK158)
| ~ v1_funct_1(X435)
| sQ167_eqProxy(k2_xboole_0(sK158,X435),sK38(sK158,X435)) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38694]) ).
fof(f45195,plain,
( ~ spl168_354
| spl168_355
| ~ spl168_9 ),
inference(avatar_split_clause,[],[f45187,f38988,f45193,f45189]) ).
fof(f45193,plain,
( spl168_355
<=> ! [X323,X322] :
( ~ r2_hidden(X322,k1_relat_1(k3_xboole_0(sK158,X323)))
| sQ167_eqProxy(k1_funct_1(sK158,X322),k1_funct_1(k3_xboole_0(sK158,X323),X322))
| ~ v1_funct_1(k3_xboole_0(sK158,X323))
| ~ v1_funct_1(X323)
| ~ v1_relat_1(X323) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_355])]) ).
fof(f45187,plain,
( ! [X323,X322] :
( ~ r2_hidden(X322,k1_relat_1(k3_xboole_0(sK158,X323)))
| ~ v1_relat_1(sK158)
| ~ v1_relat_1(X323)
| ~ v1_funct_1(X323)
| ~ v1_funct_1(k3_xboole_0(sK158,X323))
| sQ167_eqProxy(k1_funct_1(sK158,X322),k1_funct_1(k3_xboole_0(sK158,X323),X322)) )
| ~ spl168_9 ),
inference(subsumption_resolution,[],[f45045,f37986]) ).
fof(f45045,plain,
( ! [X323,X322] :
( ~ v1_funct_1(X323)
| ~ v1_funct_1(k3_xboole_0(sK158,X323))
| ~ r2_hidden(X322,k1_relat_1(k3_xboole_0(sK158,X323)))
| ~ v1_relat_1(k3_xboole_0(sK158,X323))
| ~ v1_relat_1(X323)
| sQ167_eqProxy(k1_funct_1(sK158,X322),k1_funct_1(k3_xboole_0(sK158,X323),X322))
| ~ v1_relat_1(sK158) )
| ~ spl168_9 ),
inference(resolution,[],[f38990,f38613]) ).
fof(f44523,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_353
| spl168_7 ),
inference(avatar_split_clause,[],[f43795,f38978,f44521,f44138,f44142]) ).
fof(f44142,plain,
( spl168_264
<=> v10_lattices(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_264])]) ).
fof(f44138,plain,
( spl168_263
<=> l3_lattices(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_263])]) ).
fof(f44521,plain,
( spl168_353
<=> ! [X230,X229] :
( ~ m2_relset_1(X229,u1_struct_0(X230),u1_struct_0(sK156))
| ~ v10_lattices(X230)
| ~ m3_vectsp_8(X229,X230,sK156)
| m1_lattice4(X229,X230,sK156)
| ~ v1_funct_1(X229)
| ~ l3_lattices(X230)
| ~ v1_funct_2(X229,u1_struct_0(X230),u1_struct_0(sK156))
| ~ m4_vectsp_8(X229,X230,sK156)
| v3_struct_0(X230) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_353])]) ).
fof(f43795,plain,
( ! [X230,X229] :
( ~ m2_relset_1(X229,u1_struct_0(X230),u1_struct_0(sK156))
| v3_struct_0(X230)
| ~ l3_lattices(sK156)
| ~ m4_vectsp_8(X229,X230,sK156)
| ~ v1_funct_2(X229,u1_struct_0(X230),u1_struct_0(sK156))
| ~ l3_lattices(X230)
| ~ v10_lattices(sK156)
| ~ v1_funct_1(X229)
| m1_lattice4(X229,X230,sK156)
| ~ m3_vectsp_8(X229,X230,sK156)
| ~ v10_lattices(X230) )
| spl168_7 ),
inference(resolution,[],[f38980,f37959]) ).
fof(f44518,plain,
( ~ spl168_264
| spl168_352
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43783,f38978,f44138,f44516,f44142]) ).
fof(f44516,plain,
( spl168_352
<=> ! [X201,X200,X202] :
( ~ m1_subset_1(X201,u1_struct_0(sK156))
| ~ m1_subset_1(X200,u1_struct_0(sK156))
| ~ m1_subset_1(X202,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X200,X201),k3_lattices(sK156,X200,X202)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_352])]) ).
fof(f43783,plain,
( ! [X202,X200,X201] :
( ~ l3_lattices(sK156)
| ~ m1_subset_1(X201,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X200,X201),k3_lattices(sK156,X200,X202))
| ~ m1_subset_1(X202,u1_struct_0(sK156))
| ~ m1_subset_1(X200,u1_struct_0(sK156))
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37942]) ).
fof(f37942,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X2),k3_lattices(X0,X1,X3))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36830]) ).
fof(f36830,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36829]) ).
fof(f36829,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f33207]) ).
fof(f33207,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r3_lattices(X0,k4_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boolealg) ).
fof(f44514,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_351
| spl168_7 ),
inference(avatar_split_clause,[],[f43766,f38978,f44512,f44142,f44138]) ).
fof(f44512,plain,
( spl168_351
<=> ! [X166,X165] :
( ~ v1_funct_1(X166)
| m1_subset_1(sK66(X165,sK156,X166),u1_struct_0(X165))
| m4_vectsp_8(X166,X165,sK156)
| ~ l3_lattices(X165)
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ v1_funct_2(X166,u1_struct_0(X165),u1_struct_0(sK156))
| ~ m2_relset_1(X166,u1_struct_0(X165),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_351])]) ).
fof(f43766,plain,
( ! [X166,X165] :
( ~ v1_funct_1(X166)
| ~ m2_relset_1(X166,u1_struct_0(X165),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ v1_funct_2(X166,u1_struct_0(X165),u1_struct_0(sK156))
| ~ v10_lattices(X165)
| v3_struct_0(X165)
| ~ l3_lattices(X165)
| m4_vectsp_8(X166,X165,sK156)
| ~ l3_lattices(sK156)
| m1_subset_1(sK66(X165,sK156,X166),u1_struct_0(X165)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37855]) ).
fof(f37855,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X1)
| ~ v1_funct_1(X2)
| m1_subset_1(sK66(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36963]) ).
fof(f36963,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
<=> m4_vectsp_8(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
inference(flattening,[],[f36962]) ).
fof(f36962,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
<=> m4_vectsp_8(X2,X0,X1) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f36465]) ).
fof(f36465,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
<=> m4_vectsp_8(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_vectsp_8) ).
fof(f44510,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_350
| spl168_7 ),
inference(avatar_split_clause,[],[f43681,f38978,f44508,f44142,f44138]) ).
fof(f44508,plain,
( spl168_350
<=> ! [X34,X35] :
( ~ l3_lattices(X35)
| ~ m3_vectsp_8(X34,sK156,X35)
| v3_struct_0(X35)
| ~ v10_lattices(X35)
| v1_funct_2(X34,u1_struct_0(sK156),u1_struct_0(X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_350])]) ).
fof(f43681,plain,
( ! [X34,X35] :
( ~ l3_lattices(X35)
| v1_funct_2(X34,u1_struct_0(sK156),u1_struct_0(X35))
| ~ v10_lattices(X35)
| v3_struct_0(X35)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m3_vectsp_8(X34,sK156,X35) )
| spl168_7 ),
inference(resolution,[],[f38980,f37484]) ).
fof(f37484,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ m3_vectsp_8(X2,X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(cnf_transformation,[],[f37250]) ).
fof(f37250,plain,
! [X1,X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
| ~ m3_vectsp_8(X2,X1,X0) )
| v3_struct_0(X0) ),
inference(flattening,[],[f37249]) ).
fof(f37249,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
| ~ m3_vectsp_8(X2,X1,X0) )
| ~ v10_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f36543]) ).
fof(f36543,plain,
! [X0,X1] :
( ( v10_lattices(X1)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m3_vectsp_8(X2,X1,X0)
=> ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) ) ) ),
inference(rectify,[],[f36476]) ).
fof(f36476,axiom,
! [X1,X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m3_vectsp_8(X2,X0,X1)
=> ( v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m3_vectsp_8) ).
fof(f44506,plain,
( ~ spl168_348
| ~ spl168_264
| ~ spl168_263
| spl168_349
| spl168_7 ),
inference(avatar_split_clause,[],[f44080,f38978,f44504,f44138,f44142,f44500]) ).
fof(f44500,plain,
( spl168_348
<=> sP119(sK118(sK156),sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_348])]) ).
fof(f44504,plain,
( spl168_349
<=> ! [X762,X761,X763] :
( ~ m1_subset_1(X762,u1_struct_0(sK156))
| ~ m1_subset_1(X763,u1_struct_0(sK156))
| ~ m1_subset_1(X761,u1_struct_0(sK156))
| sQ167_eqProxy(k3_lattices(sK156,X761,k4_lattices(sK156,X762,X763)),k4_lattices(sK156,k3_lattices(sK156,X761,X762),k3_lattices(sK156,X761,X763))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_349])]) ).
fof(f44080,plain,
( ! [X762,X761,X763] :
( ~ m1_subset_1(X762,u1_struct_0(sK156))
| sQ167_eqProxy(k3_lattices(sK156,X761,k4_lattices(sK156,X762,X763)),k4_lattices(sK156,k3_lattices(sK156,X761,X762),k3_lattices(sK156,X761,X763)))
| ~ m1_subset_1(X761,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ sP119(sK118(sK156),sK156)
| ~ m1_subset_1(X763,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38837]) ).
fof(f38837,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| sQ167_eqProxy(k3_lattices(X0,X1,k4_lattices(X0,X2,X3)),k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)))
| ~ sP119(sK118(X0),X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(equality_proxy_replacement,[],[f38103,f38579]) ).
fof(f38103,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ sP119(sK118(X0),X0)
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36834]) ).
fof(f36834,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) )
<=> ! [X4] :
( ! [X5] :
( ! [X6] :
( k3_lattices(X0,k4_lattices(X0,X4,X5),k4_lattices(X0,X4,X6)) = k4_lattices(X0,X4,k3_lattices(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36833]) ).
fof(f36833,plain,
! [X0] :
( ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) )
<=> ! [X4] :
( ! [X5] :
( ! [X6] :
( k3_lattices(X0,k4_lattices(X0,X4,X5),k4_lattices(X0,X4,X6)) = k4_lattices(X0,X4,k3_lattices(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36662]) ).
fof(f36662,plain,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
=> k3_lattices(X0,k4_lattices(X0,X4,X5),k4_lattices(X0,X4,X6)) = k4_lattices(X0,X4,k3_lattices(X0,X5,X6)) ) ) )
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ) ),
inference(rectify,[],[f18170]) ).
fof(f18170,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) )
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lattices) ).
fof(f44498,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_347
| spl168_7 ),
inference(avatar_split_clause,[],[f43716,f38978,f44496,f44138,f44142]) ).
fof(f44496,plain,
( spl168_347
<=> ! [X98,X97] :
( ~ v1_funct_1(X97)
| ~ v10_lattices(X98)
| m1_lattice4(X97,X98,sK156)
| v3_struct_0(X98)
| ~ l3_lattices(X98)
| ~ v1_funct_2(X97,u1_struct_0(X98),u1_struct_0(sK156))
| m1_subset_1(sK34(X98,sK156,X97),u1_struct_0(X98))
| ~ m2_relset_1(X97,u1_struct_0(X98),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_347])]) ).
fof(f43716,plain,
( ! [X98,X97] :
( ~ v1_funct_1(X97)
| ~ m2_relset_1(X97,u1_struct_0(X98),u1_struct_0(sK156))
| m1_subset_1(sK34(X98,sK156,X97),u1_struct_0(X98))
| ~ v1_funct_2(X97,u1_struct_0(X98),u1_struct_0(sK156))
| ~ l3_lattices(X98)
| v3_struct_0(X98)
| ~ l3_lattices(sK156)
| m1_lattice4(X97,X98,sK156)
| ~ v10_lattices(X98)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37688]) ).
fof(f44494,plain,
( ~ spl168_263
| spl168_346
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43713,f38978,f44142,f44492,f44138]) ).
fof(f44492,plain,
( spl168_346
<=> ! [X91,X92] :
( v3_struct_0(X91)
| m1_lattice4(X92,sK156,X91)
| m1_subset_1(sK35(sK156,X91,X92),u1_struct_0(sK156))
| ~ v10_lattices(X91)
| ~ v1_funct_2(X92,u1_struct_0(sK156),u1_struct_0(X91))
| ~ l3_lattices(X91)
| ~ v1_funct_1(X92)
| ~ m2_relset_1(X92,u1_struct_0(sK156),u1_struct_0(X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_346])]) ).
fof(f43713,plain,
( ! [X91,X92] :
( ~ v10_lattices(sK156)
| v3_struct_0(X91)
| ~ m2_relset_1(X92,u1_struct_0(sK156),u1_struct_0(X91))
| ~ v1_funct_1(X92)
| ~ l3_lattices(X91)
| ~ l3_lattices(sK156)
| ~ v1_funct_2(X92,u1_struct_0(sK156),u1_struct_0(X91))
| ~ v10_lattices(X91)
| m1_subset_1(sK35(sK156,X91,X92),u1_struct_0(sK156))
| m1_lattice4(X92,sK156,X91) )
| spl168_7 ),
inference(resolution,[],[f38980,f37687]) ).
fof(f44490,plain,
( ~ spl168_345
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(avatar_split_clause,[],[f44485,f41140,f38983,f38978,f44487]) ).
fof(f44487,plain,
( spl168_345
<=> sQ167_eqProxy(k1_group_1(sK156,sK106(sK156),sK105(sK156)),k1_group_1(sK156,sK105(sK156),sK106(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_345])]) ).
fof(f44485,plain,
( ~ sQ167_eqProxy(k1_group_1(sK156,sK106(sK156),sK105(sK156)),k1_group_1(sK156,sK105(sK156),sK106(sK156)))
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(subsumption_resolution,[],[f44484,f41142]) ).
fof(f41142,plain,
( ~ v7_group_1(sK156)
| spl168_99 ),
inference(avatar_component_clause,[],[f41140]) ).
fof(f44484,plain,
( ~ sQ167_eqProxy(k1_group_1(sK156,sK106(sK156),sK105(sK156)),k1_group_1(sK156,sK105(sK156),sK106(sK156)))
| v7_group_1(sK156)
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f44075,f38985]) ).
fof(f44075,plain,
( ~ l1_group_1(sK156)
| ~ sQ167_eqProxy(k1_group_1(sK156,sK106(sK156),sK105(sK156)),k1_group_1(sK156,sK105(sK156),sK106(sK156)))
| v7_group_1(sK156)
| spl168_7 ),
inference(resolution,[],[f38980,f38820]) ).
fof(f38820,plain,
! [X0] :
( v7_group_1(X0)
| ~ sQ167_eqProxy(k1_group_1(X0,sK106(X0),sK105(X0)),k1_group_1(X0,sK105(X0),sK106(X0)))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_proxy_replacement,[],[f38053,f38579]) ).
fof(f38053,plain,
! [X0] :
( k1_group_1(X0,sK106(X0),sK105(X0)) != k1_group_1(X0,sK105(X0),sK106(X0))
| v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37116]) ).
fof(f44483,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_344
| spl168_7 ),
inference(avatar_split_clause,[],[f43667,f38978,f44481,f44138,f44142]) ).
fof(f44481,plain,
( spl168_344
<=> ! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| m4_vectsp_8(sK2(sK156,X3),sK156,X3)
| ~ l3_lattices(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_344])]) ).
fof(f43667,plain,
( ! [X3] :
( v3_struct_0(X3)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ l3_lattices(X3)
| m4_vectsp_8(sK2(sK156,X3),sK156,X3)
| ~ v10_lattices(X3) )
| spl168_7 ),
inference(resolution,[],[f38980,f37459]) ).
fof(f37459,plain,
! [X0,X1] :
( ~ v10_lattices(X1)
| m4_vectsp_8(sK2(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36933]) ).
fof(f36933,plain,
! [X1,X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ? [X2] : m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f36932]) ).
fof(f36932,plain,
! [X0,X1] :
( ? [X2] : m4_vectsp_8(X2,X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f36479]) ).
fof(f36479,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& v10_lattices(X1)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] : m4_vectsp_8(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m4_vectsp_8) ).
fof(f44478,plain,
( spl168_343
| ~ spl168_263
| spl168_277
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43851,f38978,f44142,f44195,f44138,f44475]) ).
fof(f44475,plain,
( spl168_343
<=> m1_subset_1(sK120(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_343])]) ).
fof(f44195,plain,
( spl168_277
<=> ! [X312] : sP119(X312,sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_277])]) ).
fof(f43851,plain,
( ! [X313] :
( ~ v10_lattices(sK156)
| sP119(X313,sK156)
| ~ l3_lattices(sK156)
| m1_subset_1(sK120(sK156),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38105]) ).
fof(f38105,plain,
! [X0,X4] :
( v3_struct_0(X0)
| m1_subset_1(sK120(X0),u1_struct_0(X0))
| sP119(X4,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f36834]) ).
fof(f44472,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_342
| spl168_7 ),
inference(avatar_split_clause,[],[f43791,f38978,f44470,f44138,f44142]) ).
fof(f44470,plain,
( spl168_342
<=> ! [X221,X222] :
( ~ v1_funct_2(X221,u1_struct_0(X222),u1_struct_0(sK156))
| ~ m1_lattice4(X221,X222,sK156)
| ~ m2_relset_1(X221,u1_struct_0(X222),u1_struct_0(sK156))
| ~ v1_funct_1(X221)
| ~ l3_lattices(X222)
| v3_struct_0(X222)
| m4_vectsp_8(X221,X222,sK156)
| ~ v10_lattices(X222) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_342])]) ).
fof(f43791,plain,
( ! [X222,X221] :
( ~ v1_funct_2(X221,u1_struct_0(X222),u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ v10_lattices(X222)
| m4_vectsp_8(X221,X222,sK156)
| v3_struct_0(X222)
| ~ l3_lattices(X222)
| ~ v1_funct_1(X221)
| ~ m2_relset_1(X221,u1_struct_0(X222),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ m1_lattice4(X221,X222,sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37957]) ).
fof(f37957,plain,
! [X2,X0,X1] :
( v3_struct_0(X1)
| m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37306]) ).
fof(f44468,plain,
( ~ spl168_341
| spl168_277
| ~ spl168_264
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f44081,f38978,f44138,f44142,f44195,f44465]) ).
fof(f44465,plain,
( spl168_341
<=> sQ167_eqProxy(k3_lattices(sK156,sK117(sK156),k4_lattices(sK156,sK120(sK156),sK122(sK156))),k4_lattices(sK156,k3_lattices(sK156,sK117(sK156),sK120(sK156)),k3_lattices(sK156,sK117(sK156),sK122(sK156)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_341])]) ).
fof(f44081,plain,
( ! [X764] :
( ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| sP119(X764,sK156)
| ~ sQ167_eqProxy(k3_lattices(sK156,sK117(sK156),k4_lattices(sK156,sK120(sK156),sK122(sK156))),k4_lattices(sK156,k3_lattices(sK156,sK117(sK156),sK120(sK156)),k3_lattices(sK156,sK117(sK156),sK122(sK156)))) )
| spl168_7 ),
inference(resolution,[],[f38980,f38838]) ).
fof(f38838,plain,
! [X0,X4] :
( sP119(X4,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ sQ167_eqProxy(k3_lattices(X0,sK117(X0),k4_lattices(X0,sK120(X0),sK122(X0))),k4_lattices(X0,k3_lattices(X0,sK117(X0),sK120(X0)),k3_lattices(X0,sK117(X0),sK122(X0)))) ),
inference(equality_proxy_replacement,[],[f38101,f38579]) ).
fof(f38101,plain,
! [X0,X4] :
( ~ l3_lattices(X0)
| sP119(X4,X0)
| k3_lattices(X0,sK117(X0),k4_lattices(X0,sK120(X0),sK122(X0))) != k4_lattices(X0,k3_lattices(X0,sK117(X0),sK120(X0)),k3_lattices(X0,sK117(X0),sK122(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36834]) ).
fof(f44463,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_340
| spl168_7 ),
inference(avatar_split_clause,[],[f43874,f38978,f44461,f44138,f44142]) ).
fof(f44461,plain,
( spl168_340
<=> ! [X381] :
( v3_struct_0(X381)
| ~ v10_lattices(X381)
| ~ l3_lattices(X381)
| m1_lattice4(sK131(sK156,X381),sK156,X381) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_340])]) ).
fof(f43874,plain,
( ! [X381] :
( v3_struct_0(X381)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| m1_lattice4(sK131(sK156,X381),sK156,X381)
| ~ l3_lattices(X381)
| ~ v10_lattices(X381) )
| spl168_7 ),
inference(resolution,[],[f38980,f38169]) ).
fof(f38169,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_lattice4(sK131(X0,X1),X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f36957]) ).
fof(f36957,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ? [X2] : m1_lattice4(X2,X0,X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36956]) ).
fof(f36956,plain,
! [X0,X1] :
( ? [X2] : m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1) ),
inference(ennf_transformation,[],[f31984]) ).
fof(f31984,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& l3_lattices(X0)
& ~ v3_struct_0(X1)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v10_lattices(X1) )
=> ? [X2] : m1_lattice4(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_lattice4) ).
fof(f44459,plain,
( ~ spl168_263
| spl168_339
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f44049,f38978,f44142,f44457,f44138]) ).
fof(f44457,plain,
( spl168_339
<=> ! [X701,X700] :
( m3_vectsp_8(X700,sK156,X701)
| ~ v1_funct_2(X700,u1_struct_0(sK156),u1_struct_0(X701))
| v3_struct_0(X701)
| ~ l3_lattices(X701)
| ~ m2_relset_1(X700,u1_struct_0(sK156),u1_struct_0(X701))
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,k4_lattices(sK156,sK75(sK156,X701,X700),sK76(sK156,X701,X700))),k4_lattices(X701,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,sK75(sK156,X701,X700)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,sK76(sK156,X701,X700))))
| ~ v10_lattices(X701)
| ~ v1_funct_1(X700) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_339])]) ).
fof(f44049,plain,
( ! [X701,X700] :
( ~ v10_lattices(sK156)
| m3_vectsp_8(X700,sK156,X701)
| ~ v1_funct_1(X700)
| ~ v10_lattices(X701)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,k4_lattices(sK156,sK75(sK156,X701,X700),sK76(sK156,X701,X700))),k4_lattices(X701,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,sK75(sK156,X701,X700)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X701),X700,sK76(sK156,X701,X700))))
| ~ m2_relset_1(X700,u1_struct_0(sK156),u1_struct_0(X701))
| ~ l3_lattices(X701)
| v3_struct_0(X701)
| ~ v1_funct_2(X700,u1_struct_0(sK156),u1_struct_0(X701))
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38768]) ).
fof(f38768,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK75(X0,X1,X2),sK76(X0,X1,X2))),k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK75(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK76(X0,X1,X2))))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| m3_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X0) ),
inference(equality_proxy_replacement,[],[f37910,f38579]) ).
fof(f37910,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK75(X0,X1,X2),sK76(X0,X1,X2))) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK75(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK76(X0,X1,X2)))
| m3_vectsp_8(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f36996]) ).
fof(f36996,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( m3_vectsp_8(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) ) )
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f36995]) ).
fof(f36995,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m3_vectsp_8(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f36464]) ).
fof(f36464,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
<=> m3_vectsp_8(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_vectsp_8) ).
fof(f44455,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_338
| spl168_7 ),
inference(avatar_split_clause,[],[f43761,f38978,f44453,f44138,f44142]) ).
fof(f44453,plain,
( spl168_338
<=> ! [X155,X154] :
( ~ v10_lattices(X155)
| v1_funct_1(X154)
| v3_struct_0(X155)
| ~ l3_lattices(X155)
| ~ m4_vectsp_8(X154,X155,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_338])]) ).
fof(f43761,plain,
( ! [X155,X154] :
( ~ v10_lattices(X155)
| ~ l3_lattices(sK156)
| ~ m4_vectsp_8(X154,X155,sK156)
| ~ l3_lattices(X155)
| v3_struct_0(X155)
| ~ v10_lattices(sK156)
| v1_funct_1(X154) )
| spl168_7 ),
inference(resolution,[],[f38980,f37842]) ).
fof(f37842,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| v1_funct_1(X2)
| v3_struct_0(X1)
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37057]) ).
fof(f37057,plain,
! [X1,X0] :
( ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X0)
| ! [X2] :
( ~ m4_vectsp_8(X2,X0,X1)
| ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
inference(flattening,[],[f37056]) ).
fof(f37056,plain,
! [X0,X1] :
( ! [X2] :
( ~ m4_vectsp_8(X2,X0,X1)
| ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f36478]) ).
fof(f36478,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X1)
& v10_lattices(X0)
& l3_lattices(X1) )
=> ! [X2] :
( m4_vectsp_8(X2,X0,X1)
=> ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(f44451,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_337
| spl168_7 ),
inference(avatar_split_clause,[],[f43773,f38978,f44449,f44138,f44142]) ).
fof(f44449,plain,
( spl168_337
<=> ! [X178,X177] :
( ~ v10_lattices(X177)
| ~ v1_funct_1(X178)
| m3_vectsp_8(X178,X177,sK156)
| ~ v1_funct_2(X178,u1_struct_0(X177),u1_struct_0(sK156))
| ~ l3_lattices(X177)
| ~ m2_relset_1(X178,u1_struct_0(X177),u1_struct_0(sK156))
| v3_struct_0(X177)
| m1_subset_1(sK76(X177,sK156,X178),u1_struct_0(X177)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_337])]) ).
fof(f43773,plain,
( ! [X178,X177] :
( ~ v10_lattices(X177)
| m1_subset_1(sK76(X177,sK156,X178),u1_struct_0(X177))
| ~ l3_lattices(sK156)
| v3_struct_0(X177)
| ~ m2_relset_1(X178,u1_struct_0(X177),u1_struct_0(sK156))
| ~ l3_lattices(X177)
| ~ v1_funct_2(X178,u1_struct_0(X177),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| m3_vectsp_8(X178,X177,sK156)
| ~ v1_funct_1(X178) )
| spl168_7 ),
inference(resolution,[],[f38980,f37909]) ).
fof(f37909,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK76(X0,X1,X2),u1_struct_0(X0))
| m3_vectsp_8(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f36996]) ).
fof(f44447,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_336
| spl168_7 ),
inference(avatar_split_clause,[],[f43794,f38978,f44445,f44138,f44142]) ).
fof(f44445,plain,
( spl168_336
<=> ! [X228,X227] :
( m1_lattice4(X228,sK156,X227)
| v3_struct_0(X227)
| ~ v10_lattices(X227)
| ~ m4_vectsp_8(X228,sK156,X227)
| ~ m3_vectsp_8(X228,sK156,X227)
| ~ l3_lattices(X227)
| ~ v1_funct_1(X228)
| ~ v1_funct_2(X228,u1_struct_0(sK156),u1_struct_0(X227))
| ~ m2_relset_1(X228,u1_struct_0(sK156),u1_struct_0(X227)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_336])]) ).
fof(f43794,plain,
( ! [X228,X227] :
( m1_lattice4(X228,sK156,X227)
| ~ m2_relset_1(X228,u1_struct_0(sK156),u1_struct_0(X227))
| ~ v1_funct_2(X228,u1_struct_0(sK156),u1_struct_0(X227))
| ~ v1_funct_1(X228)
| ~ l3_lattices(sK156)
| ~ l3_lattices(X227)
| ~ m3_vectsp_8(X228,sK156,X227)
| ~ m4_vectsp_8(X228,sK156,X227)
| ~ v10_lattices(X227)
| ~ v10_lattices(sK156)
| v3_struct_0(X227) )
| spl168_7 ),
inference(resolution,[],[f38980,f37959]) ).
fof(f44443,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_335
| spl168_7 ),
inference(avatar_split_clause,[],[f43765,f38978,f44441,f44138,f44142]) ).
fof(f44441,plain,
( spl168_335
<=> ! [X164,X163] :
( v3_struct_0(X163)
| ~ v10_lattices(X163)
| ~ l3_lattices(X163)
| ~ v1_funct_1(X164)
| ~ m2_relset_1(X164,u1_struct_0(sK156),u1_struct_0(X163))
| m4_vectsp_8(X164,sK156,X163)
| m1_subset_1(sK66(sK156,X163,X164),u1_struct_0(sK156))
| ~ v1_funct_2(X164,u1_struct_0(sK156),u1_struct_0(X163)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_335])]) ).
fof(f43765,plain,
( ! [X163,X164] :
( v3_struct_0(X163)
| ~ v1_funct_2(X164,u1_struct_0(sK156),u1_struct_0(X163))
| m1_subset_1(sK66(sK156,X163,X164),u1_struct_0(sK156))
| m4_vectsp_8(X164,sK156,X163)
| ~ m2_relset_1(X164,u1_struct_0(sK156),u1_struct_0(X163))
| ~ l3_lattices(sK156)
| ~ v1_funct_1(X164)
| ~ v10_lattices(sK156)
| ~ l3_lattices(X163)
| ~ v10_lattices(X163) )
| spl168_7 ),
inference(resolution,[],[f38980,f37855]) ).
fof(f44438,plain,
( ~ spl168_251
| ~ spl168_249
| ~ spl168_250
| ~ spl168_248
| ~ spl168_252
| spl168_245
| spl168_334
| ~ spl168_330
| spl168_7 ),
inference(avatar_split_clause,[],[f44024,f38978,f44420,f44436,f43573,f43601,f43585,f43593,f43589,f43597]) ).
fof(f43597,plain,
( spl168_251
<=> l3_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_251])]) ).
fof(f43589,plain,
( spl168_249
<=> v4_rlvect_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_249])]) ).
fof(f43593,plain,
( spl168_250
<=> v7_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_250])]) ).
fof(f43585,plain,
( spl168_248
<=> v6_rlvect_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_248])]) ).
fof(f43601,plain,
( spl168_252
<=> v5_rlvect_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_252])]) ).
fof(f43573,plain,
( spl168_245
<=> v10_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_245])]) ).
fof(f44436,plain,
( spl168_334
<=> ! [X655] :
( ~ m1_subset_1(X655,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,X655,k1_rlvect_1(sK156))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_334])]) ).
fof(f44420,plain,
( spl168_330
<=> m1_subset_1(k1_rlvect_1(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_330])]) ).
fof(f44024,plain,
( ! [X655] :
( ~ m1_subset_1(k1_rlvect_1(sK156),u1_struct_0(sK156))
| ~ m1_subset_1(X655,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,X655,k1_rlvect_1(sK156)))
| v10_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38714]) ).
fof(f38714,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ sQ167_eqProxy(k2_group_1(X0),k1_group_1(X0,X1,k1_rlvect_1(X0)))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(equality_proxy_replacement,[],[f38528,f38579]) ).
fof(f38528,plain,
! [X0,X1] :
( v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != k1_group_1(X0,X1,k1_rlvect_1(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f37772]) ).
fof(f37772,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_rlvect_1(X0) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36873]) ).
fof(f36873,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_rlvect_1(X0) != X2
& k1_rlvect_1(X0) != X1 )
| k1_group_1(X0,X1,X2) != k2_group_1(X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v10_vectsp_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f36872]) ).
fof(f36872,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_rlvect_1(X0) != X2
& k1_rlvect_1(X0) != X1 )
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| v10_vectsp_1(X0) ),
inference(ennf_transformation,[],[f21410]) ).
fof(f21410,axiom,
! [X0] :
( ( v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& ~ v10_vectsp_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
=> ( k1_rlvect_1(X0) != X2
& k1_rlvect_1(X0) != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_vectsp_2) ).
fof(f44434,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_333
| spl168_7 ),
inference(avatar_split_clause,[],[f43758,f38978,f44432,f44142,f44138]) ).
fof(f44432,plain,
( spl168_333
<=> ! [X149,X148] :
( ~ v10_lattices(X149)
| v3_struct_0(X149)
| ~ m4_vectsp_8(X148,sK156,X149)
| ~ l3_lattices(X149)
| m2_relset_1(X148,u1_struct_0(sK156),u1_struct_0(X149)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_333])]) ).
fof(f43758,plain,
( ! [X148,X149] :
( ~ v10_lattices(X149)
| m2_relset_1(X148,u1_struct_0(sK156),u1_struct_0(X149))
| ~ v10_lattices(sK156)
| ~ l3_lattices(X149)
| ~ m4_vectsp_8(X148,sK156,X149)
| ~ l3_lattices(sK156)
| v3_struct_0(X149) )
| spl168_7 ),
inference(resolution,[],[f38980,f37841]) ).
fof(f37841,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f37057]) ).
fof(f44430,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_332
| spl168_7 ),
inference(avatar_split_clause,[],[f43846,f38978,f44428,f44142,f44138]) ).
fof(f44428,plain,
( spl168_332
<=> ! [X308,X309] :
( ~ m1_lattice4(X309,X308,sK156)
| v1_funct_1(X309)
| ~ v10_lattices(X308)
| v3_struct_0(X308)
| ~ l3_lattices(X308) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_332])]) ).
fof(f43846,plain,
( ! [X309,X308] :
( ~ m1_lattice4(X309,X308,sK156)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ l3_lattices(X308)
| v3_struct_0(X308)
| ~ v10_lattices(X308)
| v1_funct_1(X309) )
| spl168_7 ),
inference(resolution,[],[f38980,f38076]) ).
fof(f38076,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f36728]) ).
fof(f36728,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_lattice4(X2,X0,X1) )
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f36727]) ).
fof(f36727,plain,
! [X1,X0] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_lattice4(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f31983]) ).
fof(f31983,axiom,
! [X1,X0] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_lattice4(X2,X0,X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_lattice4) ).
fof(f44426,plain,
( ~ spl168_248
| ~ spl168_249
| ~ spl168_251
| ~ spl168_330
| ~ spl168_250
| spl168_331
| ~ spl168_252
| spl168_245
| spl168_7 ),
inference(avatar_split_clause,[],[f44025,f38978,f43573,f43601,f44424,f43593,f44420,f43597,f43589,f43585]) ).
fof(f44424,plain,
( spl168_331
<=> ! [X656] :
( ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,k1_rlvect_1(sK156),X656))
| ~ m1_subset_1(X656,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_331])]) ).
fof(f44025,plain,
( ! [X656] :
( v10_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,k1_rlvect_1(sK156),X656))
| ~ v7_vectsp_1(sK156)
| ~ m1_subset_1(k1_rlvect_1(sK156),u1_struct_0(sK156))
| ~ m1_subset_1(X656,u1_struct_0(sK156))
| ~ l3_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38715]) ).
fof(f38715,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ sQ167_eqProxy(k2_group_1(X0),k1_group_1(X0,k1_rlvect_1(X0),X2))
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ v7_vectsp_1(X0) ),
inference(equality_proxy_replacement,[],[f38529,f38579]) ).
fof(f38529,plain,
! [X2,X0] :
( v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| k2_group_1(X0) != k1_group_1(X0,k1_rlvect_1(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f37771]) ).
fof(f37771,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_rlvect_1(X0) != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36873]) ).
fof(f44418,plain,
( ~ spl168_263
| spl168_329
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43679,f38978,f44142,f44416,f44138]) ).
fof(f44416,plain,
( spl168_329
<=> ! [X30,X31] :
( v3_struct_0(X31)
| ~ l3_lattices(X31)
| ~ v10_lattices(X31)
| v1_funct_1(X30)
| ~ m3_vectsp_8(X30,sK156,X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_329])]) ).
fof(f43679,plain,
( ! [X31,X30] :
( ~ v10_lattices(sK156)
| v3_struct_0(X31)
| ~ l3_lattices(sK156)
| v1_funct_1(X30)
| ~ m3_vectsp_8(X30,sK156,X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
| spl168_7 ),
inference(resolution,[],[f38980,f37483]) ).
fof(f37483,plain,
! [X2,X0,X1] :
( v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m3_vectsp_8(X2,X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37250]) ).
fof(f44414,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_328
| spl168_7 ),
inference(avatar_split_clause,[],[f43768,f38978,f44412,f44142,f44138]) ).
fof(f44412,plain,
( spl168_328
<=> ! [X169,X170] :
( ~ v1_funct_2(X169,u1_struct_0(X170),u1_struct_0(sK156))
| ~ v10_lattices(X170)
| m4_vectsp_8(X169,X170,sK156)
| ~ l3_lattices(X170)
| v3_struct_0(X170)
| m1_subset_1(sK65(X170,sK156,X169),u1_struct_0(X170))
| ~ v1_funct_1(X169)
| ~ m2_relset_1(X169,u1_struct_0(X170),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_328])]) ).
fof(f43768,plain,
( ! [X170,X169] :
( ~ v1_funct_2(X169,u1_struct_0(X170),u1_struct_0(sK156))
| ~ m2_relset_1(X169,u1_struct_0(X170),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ v1_funct_1(X169)
| m1_subset_1(sK65(X170,sK156,X169),u1_struct_0(X170))
| v3_struct_0(X170)
| ~ l3_lattices(X170)
| m4_vectsp_8(X169,X170,sK156)
| ~ v10_lattices(X170)
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37857]) ).
fof(f37857,plain,
! [X2,X0,X1] :
( m4_vectsp_8(X2,X0,X1)
| m1_subset_1(sK65(X0,X1,X2),u1_struct_0(X0))
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36963]) ).
fof(f44410,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_327
| spl168_7 ),
inference(avatar_split_clause,[],[f43691,f38978,f44408,f44138,f44142]) ).
fof(f44408,plain,
( spl168_327
<=> ! [X52,X53,X51] :
( ~ m1_subset_1(X53,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X52,X51)
| ~ m1_subset_1(X52,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X52,X53),k3_lattices(sK156,X53,X51))
| ~ m1_subset_1(X51,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_327])]) ).
fof(f43691,plain,
( ! [X51,X52,X53] :
( ~ m1_subset_1(X53,u1_struct_0(sK156))
| ~ m1_subset_1(X51,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X52,X53),k3_lattices(sK156,X53,X51))
| ~ m1_subset_1(X52,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X52,X51)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37625]) ).
fof(f37625,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f36736]) ).
fof(f36736,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2)) )
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36735]) ).
fof(f36735,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21500]) ).
fof(f21500,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_0) ).
fof(f44406,plain,
( ~ spl168_263
| spl168_326
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43772,f38978,f44142,f44404,f44138]) ).
fof(f44404,plain,
( spl168_326
<=> ! [X176,X175] :
( m3_vectsp_8(X176,sK156,X175)
| ~ v1_funct_1(X176)
| ~ l3_lattices(X175)
| ~ v1_funct_2(X176,u1_struct_0(sK156),u1_struct_0(X175))
| ~ v10_lattices(X175)
| ~ m2_relset_1(X176,u1_struct_0(sK156),u1_struct_0(X175))
| v3_struct_0(X175)
| m1_subset_1(sK76(sK156,X175,X176),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_326])]) ).
fof(f43772,plain,
( ! [X176,X175] :
( ~ v10_lattices(sK156)
| m3_vectsp_8(X176,sK156,X175)
| m1_subset_1(sK76(sK156,X175,X176),u1_struct_0(sK156))
| v3_struct_0(X175)
| ~ l3_lattices(sK156)
| ~ m2_relset_1(X176,u1_struct_0(sK156),u1_struct_0(X175))
| ~ v10_lattices(X175)
| ~ v1_funct_2(X176,u1_struct_0(sK156),u1_struct_0(X175))
| ~ l3_lattices(X175)
| ~ v1_funct_1(X176) )
| spl168_7 ),
inference(resolution,[],[f38980,f37909]) ).
fof(f44402,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_325
| spl168_7 ),
inference(avatar_split_clause,[],[f44048,f38978,f44400,f44138,f44142]) ).
fof(f44400,plain,
( spl168_325
<=> ! [X697,X698,X696,X699] :
( ~ m2_relset_1(X697,u1_struct_0(X696),u1_struct_0(sK156))
| ~ v1_funct_2(X697,u1_struct_0(X696),u1_struct_0(sK156))
| v3_struct_0(X696)
| ~ v1_funct_1(X697)
| ~ l3_lattices(X696)
| ~ m3_vectsp_8(X697,X696,sK156)
| ~ v10_lattices(X696)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,k4_lattices(X696,X698,X699)),k4_lattices(sK156,k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,X698),k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,X699)))
| ~ m1_subset_1(X698,u1_struct_0(X696))
| ~ m1_subset_1(X699,u1_struct_0(X696)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_325])]) ).
fof(f44048,plain,
( ! [X698,X697,X699,X696] :
( ~ m2_relset_1(X697,u1_struct_0(X696),u1_struct_0(sK156))
| ~ m1_subset_1(X699,u1_struct_0(X696))
| ~ m1_subset_1(X698,u1_struct_0(X696))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,k4_lattices(X696,X698,X699)),k4_lattices(sK156,k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,X698),k8_funct_2(u1_struct_0(X696),u1_struct_0(sK156),X697,X699)))
| ~ l3_lattices(sK156)
| ~ v10_lattices(X696)
| ~ v10_lattices(sK156)
| ~ m3_vectsp_8(X697,X696,sK156)
| ~ l3_lattices(X696)
| ~ v1_funct_1(X697)
| v3_struct_0(X696)
| ~ v1_funct_2(X697,u1_struct_0(X696),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38767]) ).
fof(f38767,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ v1_funct_1(X2)
| ~ m3_vectsp_8(X2,X0,X1)
| v3_struct_0(X1)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)),k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v10_lattices(X1) ),
inference(equality_proxy_replacement,[],[f37911,f38579]) ).
fof(f37911,plain,
! [X2,X3,X0,X1,X4] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m3_vectsp_8(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f36996]) ).
fof(f44398,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_324
| spl168_7 ),
inference(avatar_split_clause,[],[f44031,f38978,f44396,f44138,f44142]) ).
fof(f44396,plain,
( spl168_324
<=> ! [X662,X661] :
( ~ v1_funct_1(X662)
| ~ m2_relset_1(X662,u1_struct_0(sK156),u1_struct_0(X661))
| m4_vectsp_8(X662,sK156,X661)
| ~ v1_funct_2(X662,u1_struct_0(sK156),u1_struct_0(X661))
| ~ v10_lattices(X661)
| v3_struct_0(X661)
| ~ sQ167_eqProxy(k3_lattices(X661,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,sK65(sK156,X661,X662)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,sK66(sK156,X661,X662))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,k3_lattices(sK156,sK65(sK156,X661,X662),sK66(sK156,X661,X662))))
| ~ l3_lattices(X661) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_324])]) ).
fof(f44031,plain,
( ! [X662,X661] :
( ~ v1_funct_1(X662)
| ~ l3_lattices(X661)
| ~ sQ167_eqProxy(k3_lattices(X661,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,sK65(sK156,X661,X662)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,sK66(sK156,X661,X662))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X661),X662,k3_lattices(sK156,sK65(sK156,X661,X662),sK66(sK156,X661,X662))))
| v3_struct_0(X661)
| ~ v10_lattices(X661)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ v1_funct_2(X662,u1_struct_0(sK156),u1_struct_0(X661))
| m4_vectsp_8(X662,sK156,X661)
| ~ m2_relset_1(X662,u1_struct_0(sK156),u1_struct_0(X661)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38741]) ).
fof(f38741,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ sQ167_eqProxy(k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK65(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK66(X0,X1,X2))),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK65(X0,X1,X2),sK66(X0,X1,X2))))
| m4_vectsp_8(X2,X0,X1)
| ~ v1_funct_1(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(equality_proxy_replacement,[],[f37856,f38579]) ).
fof(f37856,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m4_vectsp_8(X2,X0,X1)
| k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK65(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK66(X0,X1,X2))) != k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK65(X0,X1,X2),sK66(X0,X1,X2)))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36963]) ).
fof(f44394,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_323
| spl168_7 ),
inference(avatar_split_clause,[],[f43844,f38978,f44392,f44138,f44142]) ).
fof(f44392,plain,
( spl168_323
<=> ! [X305,X304] :
( v3_struct_0(X305)
| v1_funct_2(X304,u1_struct_0(X305),u1_struct_0(sK156))
| ~ v10_lattices(X305)
| ~ l3_lattices(X305)
| ~ m1_lattice4(X304,X305,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_323])]) ).
fof(f43844,plain,
( ! [X305,X304] :
( v3_struct_0(X305)
| ~ l3_lattices(sK156)
| ~ m1_lattice4(X304,X305,sK156)
| ~ l3_lattices(X305)
| ~ v10_lattices(sK156)
| ~ v10_lattices(X305)
| v1_funct_2(X304,u1_struct_0(X305),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38075]) ).
fof(f38075,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f36728]) ).
fof(f44390,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_322
| spl168_7 ),
inference(avatar_split_clause,[],[f43831,f38978,f44388,f44142,f44138]) ).
fof(f44388,plain,
( spl168_322
<=> ! [X289,X288,X291,X290] :
( r3_lattices(sK156,k4_lattices(sK156,X290,X288),k4_lattices(sK156,X291,X289))
| ~ r3_lattices(sK156,X290,X289)
| ~ r3_lattices(sK156,X288,X291)
| ~ m1_subset_1(X288,u1_struct_0(sK156))
| ~ m1_subset_1(X289,u1_struct_0(sK156))
| ~ m1_subset_1(X290,u1_struct_0(sK156))
| ~ m1_subset_1(X291,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_322])]) ).
fof(f43831,plain,
( ! [X291,X290,X289,X288] :
( r3_lattices(sK156,k4_lattices(sK156,X290,X288),k4_lattices(sK156,X291,X289))
| ~ v10_lattices(sK156)
| ~ m1_subset_1(X291,u1_struct_0(sK156))
| ~ m1_subset_1(X290,u1_struct_0(sK156))
| ~ m1_subset_1(X289,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X288,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X288,X291)
| ~ r3_lattices(sK156,X290,X289) )
| spl168_7 ),
inference(resolution,[],[f38980,f38048]) ).
fof(f38048,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36817]) ).
fof(f36817,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X3,X4)
| ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36816]) ).
fof(f36816,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) )
| ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f21504]) ).
fof(f21504,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X1,X2)
& r3_lattices(X0,X3,X4) )
=> ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_filter_0) ).
fof(f44386,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_321
| spl168_7 ),
inference(avatar_split_clause,[],[f43830,f38978,f44384,f44138,f44142]) ).
fof(f44384,plain,
( spl168_321
<=> ! [X285,X284,X286,X287] :
( ~ r3_lattices(sK156,X284,X286)
| ~ m1_subset_1(X285,u1_struct_0(sK156))
| ~ m1_subset_1(X287,u1_struct_0(sK156))
| ~ m1_subset_1(X284,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X284,X285),k4_lattices(sK156,X286,X287))
| ~ r3_lattices(sK156,X285,X287)
| ~ m1_subset_1(X286,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_321])]) ).
fof(f43830,plain,
( ! [X287,X286,X285,X284] :
( ~ r3_lattices(sK156,X284,X286)
| ~ m1_subset_1(X286,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X285,X287)
| r3_lattices(sK156,k4_lattices(sK156,X284,X285),k4_lattices(sK156,X286,X287))
| ~ m1_subset_1(X284,u1_struct_0(sK156))
| ~ m1_subset_1(X287,u1_struct_0(sK156))
| ~ m1_subset_1(X285,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38047]) ).
fof(f38047,plain,
! [X2,X3,X0,X1,X4] :
( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r3_lattices(X0,X3,X4)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36817]) ).
fof(f44382,plain,
( spl168_320
| ~ spl168_263
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43930,f38978,f44142,f44138,f44380]) ).
fof(f44380,plain,
( spl168_320
<=> ! [X472,X471,X470] :
( ~ m1_subset_1(X471,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X470,X471)
| ~ m1_subset_1(X470,u1_struct_0(sK156))
| ~ m1_subset_1(X472,u1_struct_0(sK156))
| r3_lattices(sK156,X470,k3_lattices(sK156,X471,X472)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_320])]) ).
fof(f43930,plain,
( ! [X471,X470,X472] :
( ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X471,u1_struct_0(sK156))
| r3_lattices(sK156,X470,k3_lattices(sK156,X471,X472))
| ~ m1_subset_1(X472,u1_struct_0(sK156))
| ~ m1_subset_1(X470,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X470,X471) )
| spl168_7 ),
inference(resolution,[],[f38980,f38370]) ).
fof(f38370,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,k3_lattices(X0,X2,X3))
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37127]) ).
fof(f37127,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,X1,k3_lattices(X0,X3,X2))
& r3_lattices(X0,X1,k3_lattices(X0,X2,X3)) ) ) ) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37126]) ).
fof(f37126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,X1,k3_lattices(X0,X3,X2))
& r3_lattices(X0,X1,k3_lattices(X0,X2,X3)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21502]) ).
fof(f21502,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,X1,k3_lattices(X0,X3,X2))
& r3_lattices(X0,X1,k3_lattices(X0,X2,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_0) ).
fof(f44378,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_319
| spl168_7 ),
inference(avatar_split_clause,[],[f43718,f38978,f44376,f44138,f44142]) ).
fof(f44376,plain,
( spl168_319
<=> ! [X100] :
( v3_struct_0(X100)
| m3_vectsp_8(sK36(X100,sK156),sK156,X100)
| ~ l3_lattices(X100)
| ~ v10_lattices(X100) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_319])]) ).
fof(f43718,plain,
( ! [X100] :
( v3_struct_0(X100)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100)
| m3_vectsp_8(sK36(X100,sK156),sK156,X100) )
| spl168_7 ),
inference(resolution,[],[f38980,f37691]) ).
fof(f37691,plain,
! [X0,X1] :
( ~ v10_lattices(X1)
| ~ l3_lattices(X0)
| m3_vectsp_8(sK36(X0,X1),X1,X0)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f36774]) ).
fof(f36774,plain,
! [X1,X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ? [X2] : m3_vectsp_8(X2,X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f36773]) ).
fof(f36773,plain,
! [X1,X0] :
( ? [X2] : m3_vectsp_8(X2,X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f36544]) ).
fof(f36544,plain,
! [X1,X0] :
( ( ~ v3_struct_0(X0)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X1)
& l3_lattices(X1)
& v10_lattices(X0) )
=> ? [X2] : m3_vectsp_8(X2,X1,X0) ),
inference(rectify,[],[f36477]) ).
fof(f36477,axiom,
! [X1,X0] :
( ( v10_lattices(X1)
& l3_lattices(X0)
& ~ v3_struct_0(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ? [X2] : m3_vectsp_8(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m3_vectsp_8) ).
fof(f44374,plain,
( ~ spl168_264
| spl168_318
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43938,f38978,f44138,f44372,f44142]) ).
fof(f44372,plain,
( spl168_318
<=> ! [X488,X487,X486] :
( ~ r3_lattices(sK156,X486,X488)
| r3_lattices(sK156,X486,k4_lattices(sK156,X487,X488))
| ~ m1_subset_1(X487,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X486,X487)
| ~ m1_subset_1(X488,u1_struct_0(sK156))
| ~ m1_subset_1(X486,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_318])]) ).
fof(f43938,plain,
( ! [X488,X486,X487] :
( ~ l3_lattices(sK156)
| ~ r3_lattices(sK156,X486,X488)
| ~ m1_subset_1(X486,u1_struct_0(sK156))
| ~ m1_subset_1(X488,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X486,X487)
| ~ m1_subset_1(X487,u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| r3_lattices(sK156,X486,k4_lattices(sK156,X487,X488)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38392]) ).
fof(f38392,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,X1,k4_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f37349]) ).
fof(f37349,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,X1,k4_lattices(X0,X2,X3))
| ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X3) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ),
inference(flattening,[],[f37348]) ).
fof(f37348,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r3_lattices(X0,X1,k4_lattices(X0,X2,X3))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f21506]) ).
fof(f21506,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X1,X2) )
=> r3_lattices(X0,X1,k4_lattices(X0,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_filter_0) ).
fof(f44370,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_317
| spl168_7 ),
inference(avatar_split_clause,[],[f43792,f38978,f44368,f44142,f44138]) ).
fof(f44368,plain,
( spl168_317
<=> ! [X224,X223] :
( m3_vectsp_8(X224,sK156,X223)
| ~ m1_lattice4(X224,sK156,X223)
| ~ m2_relset_1(X224,u1_struct_0(sK156),u1_struct_0(X223))
| ~ v1_funct_1(X224)
| ~ v1_funct_2(X224,u1_struct_0(sK156),u1_struct_0(X223))
| ~ v10_lattices(X223)
| ~ l3_lattices(X223)
| v3_struct_0(X223) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_317])]) ).
fof(f43792,plain,
( ! [X224,X223] :
( m3_vectsp_8(X224,sK156,X223)
| ~ v10_lattices(sK156)
| v3_struct_0(X223)
| ~ l3_lattices(X223)
| ~ v10_lattices(X223)
| ~ v1_funct_2(X224,u1_struct_0(sK156),u1_struct_0(X223))
| ~ v1_funct_1(X224)
| ~ m2_relset_1(X224,u1_struct_0(sK156),u1_struct_0(X223))
| ~ l3_lattices(sK156)
| ~ m1_lattice4(X224,sK156,X223) )
| spl168_7 ),
inference(resolution,[],[f38980,f37958]) ).
fof(f37958,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ m1_lattice4(X2,X0,X1)
| v3_struct_0(X1)
| m3_vectsp_8(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f37306]) ).
fof(f44366,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_316
| spl168_7 ),
inference(avatar_split_clause,[],[f43775,f38978,f44364,f44142,f44138]) ).
fof(f44364,plain,
( spl168_316
<=> ! [X182,X181] :
( ~ v1_funct_2(X182,u1_struct_0(X181),u1_struct_0(sK156))
| ~ m2_relset_1(X182,u1_struct_0(X181),u1_struct_0(sK156))
| m1_subset_1(sK75(X181,sK156,X182),u1_struct_0(X181))
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| m3_vectsp_8(X182,X181,sK156)
| ~ l3_lattices(X181)
| ~ v1_funct_1(X182) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_316])]) ).
fof(f43775,plain,
( ! [X181,X182] :
( ~ v1_funct_2(X182,u1_struct_0(X181),u1_struct_0(sK156))
| ~ v1_funct_1(X182)
| ~ l3_lattices(X181)
| m3_vectsp_8(X182,X181,sK156)
| ~ v10_lattices(sK156)
| ~ v10_lattices(X181)
| v3_struct_0(X181)
| m1_subset_1(sK75(X181,sK156,X182),u1_struct_0(X181))
| ~ l3_lattices(sK156)
| ~ m2_relset_1(X182,u1_struct_0(X181),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37912]) ).
fof(f37912,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| m3_vectsp_8(X2,X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_funct_1(X2)
| v3_struct_0(X0)
| m1_subset_1(sK75(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36996]) ).
fof(f44362,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_315
| spl168_7 ),
inference(avatar_split_clause,[],[f43683,f38978,f44360,f44138,f44142]) ).
fof(f44360,plain,
( spl168_315
<=> ! [X38,X39] :
( v3_struct_0(X39)
| ~ m3_vectsp_8(X38,sK156,X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39)
| m2_relset_1(X38,u1_struct_0(sK156),u1_struct_0(X39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_315])]) ).
fof(f43683,plain,
( ! [X38,X39] :
( v3_struct_0(X39)
| m2_relset_1(X38,u1_struct_0(sK156),u1_struct_0(X39))
| ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| ~ m3_vectsp_8(X38,sK156,X39)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37485]) ).
fof(f37485,plain,
! [X2,X0,X1] :
( ~ m3_vectsp_8(X2,X1,X0)
| ~ v10_lattices(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37250]) ).
fof(f44358,plain,
( ~ spl168_263
| spl168_314
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43778,f38978,f44142,f44356,f44138]) ).
fof(f44356,plain,
( spl168_314
<=> ! [X192,X193,X191] :
( ~ m1_subset_1(X191,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X191,X192)
| ~ m1_subset_1(X192,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X191,X193),X192)
| ~ r3_lattices(sK156,X193,X192)
| ~ m1_subset_1(X193,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_314])]) ).
fof(f43778,plain,
( ! [X191,X192,X193] :
( ~ v10_lattices(sK156)
| ~ m1_subset_1(X191,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X193,X192)
| ~ m1_subset_1(X193,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| r3_lattices(sK156,k3_lattices(sK156,X191,X193),X192)
| ~ m1_subset_1(X192,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X191,X192) )
| spl168_7 ),
inference(resolution,[],[f38980,f37929]) ).
fof(f37929,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),X2)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f37298]) ).
fof(f37298,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( r3_lattices(X0,k3_lattices(X0,X1,X3),X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f37297]) ).
fof(f37297,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r3_lattices(X0,k3_lattices(X0,X1,X3),X2)
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21505]) ).
fof(f21505,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X2) )
=> r3_lattices(X0,k3_lattices(X0,X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_filter_0) ).
fof(f44352,plain,
( ~ spl168_263
| spl168_313
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43774,f38978,f44142,f44350,f44138]) ).
fof(f44350,plain,
( spl168_313
<=> ! [X179,X180] :
( ~ l3_lattices(X180)
| ~ v1_funct_2(X179,u1_struct_0(sK156),u1_struct_0(X180))
| ~ m2_relset_1(X179,u1_struct_0(sK156),u1_struct_0(X180))
| ~ v1_funct_1(X179)
| v3_struct_0(X180)
| m3_vectsp_8(X179,sK156,X180)
| m1_subset_1(sK75(sK156,X180,X179),u1_struct_0(sK156))
| ~ v10_lattices(X180) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_313])]) ).
fof(f43774,plain,
( ! [X180,X179] :
( ~ v10_lattices(sK156)
| ~ l3_lattices(X180)
| ~ v10_lattices(X180)
| ~ l3_lattices(sK156)
| m1_subset_1(sK75(sK156,X180,X179),u1_struct_0(sK156))
| m3_vectsp_8(X179,sK156,X180)
| v3_struct_0(X180)
| ~ v1_funct_1(X179)
| ~ m2_relset_1(X179,u1_struct_0(sK156),u1_struct_0(X180))
| ~ v1_funct_2(X179,u1_struct_0(sK156),u1_struct_0(X180)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37912]) ).
fof(f44348,plain,
( spl168_312
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f44343,f38983,f38978,f44345]) ).
fof(f44345,plain,
( spl168_312
<=> m1_subset_1(k2_group_1(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_312])]) ).
fof(f44343,plain,
( m1_subset_1(k2_group_1(sK156),u1_struct_0(sK156))
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f43779,f38985]) ).
fof(f43779,plain,
( m1_subset_1(k2_group_1(sK156),u1_struct_0(sK156))
| ~ l1_group_1(sK156)
| spl168_7 ),
inference(resolution,[],[f38980,f37931]) ).
fof(f37931,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36913]) ).
fof(f36913,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f36912]) ).
fof(f36912,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18993]) ).
fof(f18993,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f44342,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_311
| spl168_7 ),
inference(avatar_split_clause,[],[f44017,f38978,f44340,f44142,f44138]) ).
fof(f44340,plain,
( spl168_311
<=> ! [X633,X636,X634,X635] :
( ~ m1_lattice4(X633,sK156,X634)
| v3_struct_0(X634)
| ~ v1_funct_1(X633)
| ~ v10_lattices(X634)
| ~ m1_subset_1(X636,u1_struct_0(sK156))
| ~ m1_subset_1(X635,u1_struct_0(sK156))
| ~ m2_relset_1(X633,u1_struct_0(sK156),u1_struct_0(X634))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,k3_lattices(sK156,X635,X636)),k3_lattices(X634,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,X635),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,X636)))
| ~ l3_lattices(X634)
| ~ v1_funct_2(X633,u1_struct_0(sK156),u1_struct_0(X634)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_311])]) ).
fof(f44017,plain,
( ! [X633,X635,X636,X634] :
( ~ m1_lattice4(X633,sK156,X634)
| ~ v1_funct_2(X633,u1_struct_0(sK156),u1_struct_0(X634))
| ~ l3_lattices(X634)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,k3_lattices(sK156,X635,X636)),k3_lattices(X634,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,X635),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X634),X633,X636)))
| ~ m2_relset_1(X633,u1_struct_0(sK156),u1_struct_0(X634))
| ~ m1_subset_1(X635,u1_struct_0(sK156))
| ~ m1_subset_1(X636,u1_struct_0(sK156))
| ~ v10_lattices(X634)
| ~ v1_funct_1(X633)
| ~ v10_lattices(sK156)
| v3_struct_0(X634)
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38687]) ).
fof(f38687,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_struct_0(X1)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)),k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v10_lattices(X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(equality_proxy_replacement,[],[f37684,f38579]) ).
fof(f37684,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_lattice4(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37108]) ).
fof(f44338,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_310
| spl168_7 ),
inference(avatar_split_clause,[],[f44013,f38978,f44336,f44142,f44138]) ).
fof(f44336,plain,
( spl168_310
<=> ! [X621,X622] :
( ~ l3_lattices(X621)
| v3_struct_0(X621)
| ~ v1_funct_2(X622,u1_struct_0(sK156),u1_struct_0(X621))
| ~ m2_relset_1(X622,u1_struct_0(sK156),u1_struct_0(X621))
| m1_lattice4(X622,sK156,X621)
| ~ sQ167_eqProxy(k3_lattices(X621,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK34(sK156,X621,X622)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK35(sK156,X621,X622))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,k3_lattices(sK156,sK34(sK156,X621,X622),sK35(sK156,X621,X622))))
| ~ sQ167_eqProxy(k4_lattices(X621,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK34(sK156,X621,X622)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK35(sK156,X621,X622))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,k4_lattices(sK156,sK34(sK156,X621,X622),sK35(sK156,X621,X622))))
| ~ v1_funct_1(X622)
| ~ v10_lattices(X621) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_310])]) ).
fof(f44013,plain,
( ! [X621,X622] :
( ~ l3_lattices(X621)
| ~ v10_lattices(X621)
| ~ v1_funct_1(X622)
| ~ v10_lattices(sK156)
| ~ sQ167_eqProxy(k4_lattices(X621,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK34(sK156,X621,X622)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK35(sK156,X621,X622))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,k4_lattices(sK156,sK34(sK156,X621,X622),sK35(sK156,X621,X622))))
| ~ sQ167_eqProxy(k3_lattices(X621,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK34(sK156,X621,X622)),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,sK35(sK156,X621,X622))),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X621),X622,k3_lattices(sK156,sK34(sK156,X621,X622),sK35(sK156,X621,X622))))
| ~ l3_lattices(sK156)
| m1_lattice4(X622,sK156,X621)
| ~ m2_relset_1(X622,u1_struct_0(sK156),u1_struct_0(X621))
| ~ v1_funct_2(X622,u1_struct_0(sK156),u1_struct_0(X621))
| v3_struct_0(X621) )
| spl168_7 ),
inference(resolution,[],[f38980,f38685]) ).
fof(f44334,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_309
| spl168_7 ),
inference(avatar_split_clause,[],[f44016,f38978,f44332,f44142,f44138]) ).
fof(f44332,plain,
( spl168_309
<=> ! [X629,X630,X632,X631] :
( ~ v1_funct_2(X629,u1_struct_0(X630),u1_struct_0(sK156))
| ~ v10_lattices(X630)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,k4_lattices(X630,X632,X631)),k4_lattices(sK156,k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,X632),k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,X631)))
| ~ m1_subset_1(X631,u1_struct_0(X630))
| ~ m1_subset_1(X632,u1_struct_0(X630))
| ~ l3_lattices(X630)
| ~ m2_relset_1(X629,u1_struct_0(X630),u1_struct_0(sK156))
| ~ v1_funct_1(X629)
| ~ m1_lattice4(X629,X630,sK156)
| v3_struct_0(X630) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_309])]) ).
fof(f44016,plain,
( ! [X632,X629,X631,X630] :
( ~ v1_funct_2(X629,u1_struct_0(X630),u1_struct_0(sK156))
| v3_struct_0(X630)
| ~ m1_lattice4(X629,X630,sK156)
| ~ v1_funct_1(X629)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m2_relset_1(X629,u1_struct_0(X630),u1_struct_0(sK156))
| ~ l3_lattices(X630)
| ~ m1_subset_1(X632,u1_struct_0(X630))
| ~ m1_subset_1(X631,u1_struct_0(X630))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,k4_lattices(X630,X632,X631)),k4_lattices(sK156,k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,X632),k8_funct_2(u1_struct_0(X630),u1_struct_0(sK156),X629,X631)))
| ~ v10_lattices(X630) )
| spl168_7 ),
inference(resolution,[],[f38980,f38686]) ).
fof(f38686,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)),k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)))
| ~ v10_lattices(X1) ),
inference(equality_proxy_replacement,[],[f37685,f38579]) ).
fof(f37685,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_lattice4(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f37108]) ).
fof(f44330,plain,
( ~ spl168_263
| spl168_308
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43817,f38978,f44142,f44328,f44138]) ).
fof(f44328,plain,
( spl168_308
<=> ! [X253,X254,X255] :
( ~ r3_lattices(sK156,X253,X254)
| ~ m1_subset_1(X254,u1_struct_0(sK156))
| ~ m1_subset_1(X253,u1_struct_0(sK156))
| ~ m1_subset_1(X255,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X253,X255),X254) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_308])]) ).
fof(f43817,plain,
( ! [X253,X254,X255] :
( ~ v10_lattices(sK156)
| ~ r3_lattices(sK156,X253,X254)
| r3_lattices(sK156,k4_lattices(sK156,X253,X255),X254)
| ~ m1_subset_1(X255,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X253,u1_struct_0(sK156))
| ~ m1_subset_1(X254,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38021]) ).
fof(f38021,plain,
! [X2,X3,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X3),X2)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37372]) ).
fof(f37372,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) )
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f37371]) ).
fof(f37371,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f21501]) ).
fof(f21501,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_filter_0) ).
fof(f44326,plain,
( ~ spl168_263
| spl168_307
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43680,f38978,f44142,f44324,f44138]) ).
fof(f44324,plain,
( spl168_307
<=> ! [X32,X33] :
( ~ l3_lattices(X33)
| v1_funct_2(X32,u1_struct_0(X33),u1_struct_0(sK156))
| ~ m3_vectsp_8(X32,X33,sK156)
| v3_struct_0(X33)
| ~ v10_lattices(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_307])]) ).
fof(f43680,plain,
( ! [X32,X33] :
( ~ v10_lattices(sK156)
| ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| ~ m3_vectsp_8(X32,X33,sK156)
| ~ l3_lattices(sK156)
| v1_funct_2(X32,u1_struct_0(X33),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37484]) ).
fof(f44322,plain,
( spl168_306
| ~ spl168_264
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43845,f38978,f44138,f44142,f44320]) ).
fof(f44320,plain,
( spl168_306
<=> ! [X307,X306] :
( ~ v10_lattices(X306)
| ~ l3_lattices(X306)
| v1_funct_1(X307)
| v3_struct_0(X306)
| ~ m1_lattice4(X307,sK156,X306) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_306])]) ).
fof(f43845,plain,
( ! [X307,X306] :
( ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ v10_lattices(X306)
| ~ m1_lattice4(X307,sK156,X306)
| v3_struct_0(X306)
| v1_funct_1(X307)
| ~ l3_lattices(X306) )
| spl168_7 ),
inference(resolution,[],[f38980,f38076]) ).
fof(f44318,plain,
( ~ spl168_263
| spl168_305
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43755,f38978,f44142,f44316,f44138]) ).
fof(f44316,plain,
( spl168_305
<=> ! [X141,X140,X142] :
( ~ m1_subset_1(X142,u1_struct_0(sK156))
| ~ m1_subset_1(X141,u1_struct_0(sK156))
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| r3_lattices(sK156,X140,X142)
| ~ r3_lattices(sK156,k3_lattices(sK156,X141,X140),X142) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_305])]) ).
fof(f43755,plain,
( ! [X142,X140,X141] :
( ~ v10_lattices(sK156)
| ~ m1_subset_1(X142,u1_struct_0(sK156))
| ~ r3_lattices(sK156,k3_lattices(sK156,X141,X140),X142)
| r3_lattices(sK156,X140,X142)
| ~ m1_subset_1(X140,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X141,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37838]) ).
fof(f37838,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X2,X3)
| ~ r3_lattices(X0,k3_lattices(X0,X1,X2),X3)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37322]) ).
fof(f37322,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ r3_lattices(X0,k3_lattices(X0,X1,X2),X3)
| ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X2,X3) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f37321]) ).
fof(f37321,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X2,X3) )
| ~ r3_lattices(X0,k3_lattices(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f33206]) ).
fof(f33206,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,k3_lattices(X0,X1,X2),X3)
=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boolealg) ).
fof(f44314,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_304
| spl168_7 ),
inference(avatar_split_clause,[],[f43762,f38978,f44312,f44138,f44142]) ).
fof(f44312,plain,
( spl168_304
<=> ! [X157,X156] :
( ~ v10_lattices(X156)
| ~ l3_lattices(X156)
| v3_struct_0(X156)
| v1_funct_2(X157,u1_struct_0(sK156),u1_struct_0(X156))
| ~ m4_vectsp_8(X157,sK156,X156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_304])]) ).
fof(f43762,plain,
( ! [X156,X157] :
( ~ v10_lattices(X156)
| ~ m4_vectsp_8(X157,sK156,X156)
| v1_funct_2(X157,u1_struct_0(sK156),u1_struct_0(X156))
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| v3_struct_0(X156)
| ~ l3_lattices(X156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37843]) ).
fof(f37843,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X1)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f37057]) ).
fof(f44310,plain,
( ~ spl168_263
| spl168_303
| spl168_277
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43852,f38978,f44142,f44195,f44307,f44138]) ).
fof(f44307,plain,
( spl168_303
<=> m1_subset_1(sK117(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_303])]) ).
fof(f43852,plain,
( ! [X314] :
( ~ v10_lattices(sK156)
| sP119(X314,sK156)
| m1_subset_1(sK117(sK156),u1_struct_0(sK156))
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38107]) ).
fof(f38107,plain,
! [X0,X4] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK117(X0),u1_struct_0(X0))
| sP119(X4,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36834]) ).
fof(f44305,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_302
| spl168_7 ),
inference(avatar_split_clause,[],[f43790,f38978,f44303,f44142,f44138]) ).
fof(f44303,plain,
( spl168_302
<=> ! [X219,X220] :
( ~ v1_funct_1(X220)
| ~ l3_lattices(X219)
| m4_vectsp_8(X220,sK156,X219)
| ~ m1_lattice4(X220,sK156,X219)
| ~ v1_funct_2(X220,u1_struct_0(sK156),u1_struct_0(X219))
| ~ m2_relset_1(X220,u1_struct_0(sK156),u1_struct_0(X219))
| v3_struct_0(X219)
| ~ v10_lattices(X219) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_302])]) ).
fof(f43790,plain,
( ! [X220,X219] :
( ~ v1_funct_1(X220)
| v3_struct_0(X219)
| ~ v10_lattices(X219)
| ~ m2_relset_1(X220,u1_struct_0(sK156),u1_struct_0(X219))
| ~ v1_funct_2(X220,u1_struct_0(sK156),u1_struct_0(X219))
| ~ m1_lattice4(X220,sK156,X219)
| ~ v10_lattices(sK156)
| m4_vectsp_8(X220,sK156,X219)
| ~ l3_lattices(X219)
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37957]) ).
fof(f44301,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_301
| spl168_7 ),
inference(avatar_split_clause,[],[f43759,f38978,f44299,f44138,f44142]) ).
fof(f44299,plain,
( spl168_301
<=> ! [X150,X151] :
( ~ l3_lattices(X150)
| ~ m4_vectsp_8(X151,X150,sK156)
| v3_struct_0(X150)
| ~ v10_lattices(X150)
| m2_relset_1(X151,u1_struct_0(X150),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_301])]) ).
fof(f43759,plain,
( ! [X150,X151] :
( ~ l3_lattices(X150)
| ~ l3_lattices(sK156)
| m2_relset_1(X151,u1_struct_0(X150),u1_struct_0(sK156))
| ~ v10_lattices(X150)
| ~ v10_lattices(sK156)
| v3_struct_0(X150)
| ~ m4_vectsp_8(X151,X150,sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37841]) ).
fof(f44296,plain,
( ~ spl168_264
| spl168_300
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43750,f38978,f44138,f44294,f44142]) ).
fof(f44294,plain,
( spl168_300
<=> ! [X136,X137,X135,X134] :
( v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ r3_lattices(X134,X135,X136)
| r3_lattices(sK156,k8_funct_2(u1_struct_0(X134),u1_struct_0(sK156),X137,X135),k8_funct_2(u1_struct_0(X134),u1_struct_0(sK156),X137,X136))
| ~ m1_lattice4(X137,X134,sK156)
| ~ l3_lattices(X134)
| ~ m1_subset_1(X136,u1_struct_0(X134))
| ~ m1_subset_1(X135,u1_struct_0(X134)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_300])]) ).
fof(f43750,plain,
( ! [X136,X134,X137,X135] :
( ~ l3_lattices(sK156)
| v3_struct_0(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| ~ m1_subset_1(X136,u1_struct_0(X134))
| ~ l3_lattices(X134)
| ~ m1_lattice4(X137,X134,sK156)
| ~ v10_lattices(sK156)
| r3_lattices(sK156,k8_funct_2(u1_struct_0(X134),u1_struct_0(sK156),X137,X135),k8_funct_2(u1_struct_0(X134),u1_struct_0(sK156),X137,X136))
| ~ r3_lattices(X134,X135,X136)
| ~ v10_lattices(X134) )
| spl168_7 ),
inference(resolution,[],[f38980,f37796]) ).
fof(f37796,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X1)
| ~ r3_lattices(X0,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_lattice4(X4,X0,X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36778]) ).
fof(f36778,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ r3_lattices(X0,X2,X3)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v3_struct_0(X0) ),
inference(flattening,[],[f36777]) ).
fof(f36777,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3))
| ~ r3_lattices(X0,X2,X3)
| ~ m1_lattice4(X4,X0,X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31925]) ).
fof(f31925,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_lattice4(X4,X0,X1)
=> ( r3_lattices(X0,X2,X3)
=> r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice4) ).
fof(f44292,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_299
| spl168_7 ),
inference(avatar_split_clause,[],[f43818,f38978,f44290,f44138,f44142]) ).
fof(f44290,plain,
( spl168_299
<=> ! [X257,X258,X256] :
( ~ m1_subset_1(X256,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X258,X257),X256)
| ~ m1_subset_1(X257,u1_struct_0(sK156))
| ~ m1_subset_1(X258,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X257,X256) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_299])]) ).
fof(f43818,plain,
( ! [X258,X257,X256] :
( ~ m1_subset_1(X256,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X257,X256)
| ~ m1_subset_1(X258,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X257,u1_struct_0(sK156))
| r3_lattices(sK156,k4_lattices(sK156,X258,X257),X256)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38022]) ).
fof(f38022,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37372]) ).
fof(f44288,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_298
| spl168_7 ),
inference(avatar_split_clause,[],[f43931,f38978,f44286,f44142,f44138]) ).
fof(f44286,plain,
( spl168_298
<=> ! [X475,X474,X473] :
( r3_lattices(sK156,X474,k3_lattices(sK156,X475,X473))
| ~ m1_subset_1(X474,u1_struct_0(sK156))
| ~ m1_subset_1(X475,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X474,X473)
| ~ m1_subset_1(X473,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_298])]) ).
fof(f43931,plain,
( ! [X475,X474,X473] :
( r3_lattices(sK156,X474,k3_lattices(sK156,X475,X473))
| ~ m1_subset_1(X473,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X474,X473)
| ~ m1_subset_1(X475,u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X474,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38371]) ).
fof(f38371,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,X1,k3_lattices(X0,X3,X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f37127]) ).
fof(f44284,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_297
| spl168_7 ),
inference(avatar_split_clause,[],[f43763,f38978,f44282,f44138,f44142]) ).
fof(f44282,plain,
( spl168_297
<=> ! [X158,X159] :
( v3_struct_0(X158)
| ~ v10_lattices(X158)
| ~ l3_lattices(X158)
| ~ m4_vectsp_8(X159,X158,sK156)
| v1_funct_2(X159,u1_struct_0(X158),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_297])]) ).
fof(f43763,plain,
( ! [X158,X159] :
( v3_struct_0(X158)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| v1_funct_2(X159,u1_struct_0(X158),u1_struct_0(sK156))
| ~ m4_vectsp_8(X159,X158,sK156)
| ~ l3_lattices(X158)
| ~ v10_lattices(X158) )
| spl168_7 ),
inference(resolution,[],[f38980,f37843]) ).
fof(f44280,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_296
| spl168_7 ),
inference(avatar_split_clause,[],[f44050,f38978,f44278,f44142,f44138]) ).
fof(f44278,plain,
( spl168_296
<=> ! [X703,X702] :
( ~ v10_lattices(X703)
| ~ l3_lattices(X703)
| m3_vectsp_8(X702,X703,sK156)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,k4_lattices(X703,sK75(X703,sK156,X702),sK76(X703,sK156,X702))),k4_lattices(sK156,k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,sK75(X703,sK156,X702)),k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,sK76(X703,sK156,X702))))
| ~ m2_relset_1(X702,u1_struct_0(X703),u1_struct_0(sK156))
| ~ v1_funct_1(X702)
| v3_struct_0(X703)
| ~ v1_funct_2(X702,u1_struct_0(X703),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_296])]) ).
fof(f44050,plain,
( ! [X703,X702] :
( ~ v10_lattices(X703)
| ~ v10_lattices(sK156)
| ~ v1_funct_2(X702,u1_struct_0(X703),u1_struct_0(sK156))
| v3_struct_0(X703)
| ~ v1_funct_1(X702)
| ~ l3_lattices(sK156)
| ~ m2_relset_1(X702,u1_struct_0(X703),u1_struct_0(sK156))
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,k4_lattices(X703,sK75(X703,sK156,X702),sK76(X703,sK156,X702))),k4_lattices(sK156,k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,sK75(X703,sK156,X702)),k8_funct_2(u1_struct_0(X703),u1_struct_0(sK156),X702,sK76(X703,sK156,X702))))
| m3_vectsp_8(X702,X703,sK156)
| ~ l3_lattices(X703) )
| spl168_7 ),
inference(resolution,[],[f38980,f38768]) ).
fof(f44276,plain,
( spl168_295
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(avatar_split_clause,[],[f44271,f41140,f38983,f38978,f44273]) ).
fof(f44271,plain,
( m1_subset_1(sK106(sK156),u1_struct_0(sK156))
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(subsumption_resolution,[],[f44270,f41142]) ).
fof(f44269,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_294
| spl168_7 ),
inference(avatar_split_clause,[],[f43843,f38978,f44267,f44142,f44138]) ).
fof(f44267,plain,
( spl168_294
<=> ! [X302,X303] :
( ~ l3_lattices(X303)
| ~ v10_lattices(X303)
| v3_struct_0(X303)
| ~ m1_lattice4(X302,sK156,X303)
| v1_funct_2(X302,u1_struct_0(sK156),u1_struct_0(X303)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_294])]) ).
fof(f43843,plain,
( ! [X303,X302] :
( ~ l3_lattices(X303)
| ~ v10_lattices(sK156)
| v1_funct_2(X302,u1_struct_0(sK156),u1_struct_0(X303))
| ~ m1_lattice4(X302,sK156,X303)
| v3_struct_0(X303)
| ~ l3_lattices(sK156)
| ~ v10_lattices(X303) )
| spl168_7 ),
inference(resolution,[],[f38980,f38075]) ).
fof(f44265,plain,
( ~ spl168_264
| spl168_293
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43842,f38978,f44138,f44263,f44142]) ).
fof(f44263,plain,
( spl168_293
<=> ! [X301,X300] :
( ~ m1_lattice4(X300,X301,sK156)
| m2_relset_1(X300,u1_struct_0(X301),u1_struct_0(sK156))
| ~ v10_lattices(X301)
| ~ l3_lattices(X301)
| v3_struct_0(X301) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_293])]) ).
fof(f43842,plain,
( ! [X301,X300] :
( ~ l3_lattices(sK156)
| ~ m1_lattice4(X300,X301,sK156)
| v3_struct_0(X301)
| ~ v10_lattices(sK156)
| ~ l3_lattices(X301)
| ~ v10_lattices(X301)
| m2_relset_1(X300,u1_struct_0(X301),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38074]) ).
fof(f38074,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| ~ m1_lattice4(X2,X0,X1)
| v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f36728]) ).
fof(f44261,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_292
| spl168_7 ),
inference(avatar_split_clause,[],[f43668,f38978,f44259,f44138,f44142]) ).
fof(f44259,plain,
( spl168_292
<=> ! [X4] :
( v3_struct_0(X4)
| m4_vectsp_8(sK2(X4,sK156),X4,sK156)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_292])]) ).
fof(f43668,plain,
( ! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| m4_vectsp_8(sK2(X4,sK156),X4,sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37459]) ).
fof(f44257,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_291
| spl168_7 ),
inference(avatar_split_clause,[],[f43678,f38978,f44255,f44142,f44138]) ).
fof(f44255,plain,
( spl168_291
<=> ! [X29,X28] :
( ~ m3_vectsp_8(X28,X29,sK156)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| ~ l3_lattices(X29)
| v1_funct_1(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_291])]) ).
fof(f43678,plain,
( ! [X28,X29] :
( ~ m3_vectsp_8(X28,X29,sK156)
| v1_funct_1(X28)
| ~ l3_lattices(X29)
| v3_struct_0(X29)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ v10_lattices(X29) )
| spl168_7 ),
inference(resolution,[],[f38980,f37483]) ).
fof(f44253,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_290
| spl168_7 ),
inference(avatar_split_clause,[],[f43756,f38978,f44251,f44138,f44142]) ).
fof(f44251,plain,
( spl168_290
<=> ! [X144,X145,X143] :
( ~ m1_subset_1(X145,u1_struct_0(sK156))
| ~ m1_subset_1(X143,u1_struct_0(sK156))
| r3_lattices(sK156,X144,X145)
| ~ m1_subset_1(X144,u1_struct_0(sK156))
| ~ r3_lattices(sK156,k3_lattices(sK156,X144,X143),X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_290])]) ).
fof(f43756,plain,
( ! [X145,X143,X144] :
( ~ m1_subset_1(X145,u1_struct_0(sK156))
| ~ r3_lattices(sK156,k3_lattices(sK156,X144,X143),X145)
| ~ m1_subset_1(X144,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| r3_lattices(sK156,X144,X145)
| ~ m1_subset_1(X143,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37839]) ).
fof(f37839,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,k3_lattices(X0,X1,X2),X3)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r3_lattices(X0,X1,X3) ),
inference(cnf_transformation,[],[f37322]) ).
fof(f44249,plain,
( ~ spl168_263
| spl168_289
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43692,f38978,f44142,f44247,f44138]) ).
fof(f44247,plain,
( spl168_289
<=> ! [X54,X55,X56] :
( r3_lattices(sK156,k3_lattices(sK156,X55,X56),k3_lattices(sK156,X54,X56))
| ~ m1_subset_1(X56,u1_struct_0(sK156))
| ~ m1_subset_1(X54,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X55,X54)
| ~ m1_subset_1(X55,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_289])]) ).
fof(f43692,plain,
( ! [X56,X54,X55] :
( ~ v10_lattices(sK156)
| r3_lattices(sK156,k3_lattices(sK156,X55,X56),k3_lattices(sK156,X54,X56))
| ~ m1_subset_1(X55,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X55,X54)
| ~ m1_subset_1(X54,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X56,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37626]) ).
fof(f37626,plain,
! [X2,X3,X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3)) ),
inference(cnf_transformation,[],[f36736]) ).
fof(f44245,plain,
( ~ spl168_264
| spl168_288
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f44014,f38978,f44138,f44243,f44142]) ).
fof(f44243,plain,
( spl168_288
<=> ! [X623,X624] :
( v3_struct_0(X623)
| ~ l3_lattices(X623)
| ~ sQ167_eqProxy(k3_lattices(sK156,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK34(X623,sK156,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK35(X623,sK156,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,k3_lattices(X623,sK34(X623,sK156,X624),sK35(X623,sK156,X624))))
| ~ m2_relset_1(X624,u1_struct_0(X623),u1_struct_0(sK156))
| ~ sQ167_eqProxy(k4_lattices(sK156,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK34(X623,sK156,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK35(X623,sK156,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,k4_lattices(X623,sK34(X623,sK156,X624),sK35(X623,sK156,X624))))
| ~ v1_funct_1(X624)
| ~ v1_funct_2(X624,u1_struct_0(X623),u1_struct_0(sK156))
| ~ v10_lattices(X623)
| m1_lattice4(X624,X623,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_288])]) ).
fof(f44014,plain,
( ! [X624,X623] :
( ~ l3_lattices(sK156)
| v3_struct_0(X623)
| m1_lattice4(X624,X623,sK156)
| ~ v10_lattices(X623)
| ~ v1_funct_2(X624,u1_struct_0(X623),u1_struct_0(sK156))
| ~ v1_funct_1(X624)
| ~ sQ167_eqProxy(k4_lattices(sK156,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK34(X623,sK156,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK35(X623,sK156,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,k4_lattices(X623,sK34(X623,sK156,X624),sK35(X623,sK156,X624))))
| ~ m2_relset_1(X624,u1_struct_0(X623),u1_struct_0(sK156))
| ~ sQ167_eqProxy(k3_lattices(sK156,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK34(X623,sK156,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,sK35(X623,sK156,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK156),X624,k3_lattices(X623,sK34(X623,sK156,X624),sK35(X623,sK156,X624))))
| ~ v10_lattices(sK156)
| ~ l3_lattices(X623) )
| spl168_7 ),
inference(resolution,[],[f38980,f38685]) ).
fof(f44241,plain,
( spl168_287
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(avatar_split_clause,[],[f44236,f41140,f38983,f38978,f44238]) ).
fof(f44236,plain,
( m1_subset_1(sK105(sK156),u1_struct_0(sK156))
| spl168_7
| ~ spl168_8
| spl168_99 ),
inference(subsumption_resolution,[],[f44235,f41142]) ).
fof(f44234,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_286
| spl168_7 ),
inference(avatar_split_clause,[],[f43841,f38978,f44232,f44142,f44138]) ).
fof(f44232,plain,
( spl168_286
<=> ! [X299,X298] :
( ~ m1_lattice4(X299,sK156,X298)
| m2_relset_1(X299,u1_struct_0(sK156),u1_struct_0(X298))
| v3_struct_0(X298)
| ~ l3_lattices(X298)
| ~ v10_lattices(X298) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_286])]) ).
fof(f43841,plain,
( ! [X299,X298] :
( ~ m1_lattice4(X299,sK156,X298)
| ~ v10_lattices(sK156)
| ~ v10_lattices(X298)
| ~ l3_lattices(sK156)
| ~ l3_lattices(X298)
| v3_struct_0(X298)
| m2_relset_1(X299,u1_struct_0(sK156),u1_struct_0(X298)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38074]) ).
fof(f44230,plain,
( ~ spl168_263
| spl168_285
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f43749,f38978,f44142,f44228,f44138]) ).
fof(f44228,plain,
( spl168_285
<=> ! [X130,X132,X133,X131] :
( ~ m1_subset_1(X131,u1_struct_0(sK156))
| r3_lattices(X130,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X130),X133,X131),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X130),X133,X132))
| ~ m1_lattice4(X133,sK156,X130)
| ~ m1_subset_1(X132,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X131,X132)
| v3_struct_0(X130)
| ~ l3_lattices(X130)
| ~ v10_lattices(X130) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_285])]) ).
fof(f43749,plain,
( ! [X132,X133,X130,X131] :
( ~ v10_lattices(sK156)
| ~ m1_subset_1(X131,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| v3_struct_0(X130)
| ~ r3_lattices(sK156,X131,X132)
| ~ v10_lattices(X130)
| ~ m1_subset_1(X132,u1_struct_0(sK156))
| ~ l3_lattices(X130)
| ~ m1_lattice4(X133,sK156,X130)
| r3_lattices(X130,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X130),X133,X131),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X130),X133,X132)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37796]) ).
fof(f44226,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_284
| spl168_7 ),
inference(avatar_split_clause,[],[f44047,f38978,f44224,f44138,f44142]) ).
fof(f44224,plain,
( spl168_284
<=> ! [X693,X694,X692,X695] :
( ~ m2_relset_1(X692,u1_struct_0(sK156),u1_struct_0(X693))
| ~ m1_subset_1(X694,u1_struct_0(sK156))
| ~ v10_lattices(X693)
| ~ v1_funct_2(X692,u1_struct_0(sK156),u1_struct_0(X693))
| ~ m3_vectsp_8(X692,sK156,X693)
| ~ l3_lattices(X693)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,k4_lattices(sK156,X694,X695)),k4_lattices(X693,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,X694),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,X695)))
| ~ v1_funct_1(X692)
| v3_struct_0(X693)
| ~ m1_subset_1(X695,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_284])]) ).
fof(f44047,plain,
( ! [X695,X692,X694,X693] :
( ~ m2_relset_1(X692,u1_struct_0(sK156),u1_struct_0(X693))
| ~ m1_subset_1(X695,u1_struct_0(sK156))
| ~ l3_lattices(sK156)
| v3_struct_0(X693)
| ~ v1_funct_1(X692)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,k4_lattices(sK156,X694,X695)),k4_lattices(X693,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,X694),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X693),X692,X695)))
| ~ l3_lattices(X693)
| ~ m3_vectsp_8(X692,sK156,X693)
| ~ v1_funct_2(X692,u1_struct_0(sK156),u1_struct_0(X693))
| ~ v10_lattices(X693)
| ~ v10_lattices(sK156)
| ~ m1_subset_1(X694,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38767]) ).
fof(f44222,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_283
| spl168_7 ),
inference(avatar_split_clause,[],[f43715,f38978,f44220,f44138,f44142]) ).
fof(f44220,plain,
( spl168_283
<=> ! [X96,X95] :
( ~ v1_funct_2(X95,u1_struct_0(sK156),u1_struct_0(X96))
| m1_subset_1(sK34(sK156,X96,X95),u1_struct_0(sK156))
| v3_struct_0(X96)
| ~ v1_funct_1(X95)
| ~ v10_lattices(X96)
| ~ l3_lattices(X96)
| ~ m2_relset_1(X95,u1_struct_0(sK156),u1_struct_0(X96))
| m1_lattice4(X95,sK156,X96) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_283])]) ).
fof(f43715,plain,
( ! [X96,X95] :
( ~ v1_funct_2(X95,u1_struct_0(sK156),u1_struct_0(X96))
| m1_lattice4(X95,sK156,X96)
| ~ m2_relset_1(X95,u1_struct_0(sK156),u1_struct_0(X96))
| ~ l3_lattices(X96)
| ~ v10_lattices(X96)
| ~ v1_funct_1(X95)
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| v3_struct_0(X96)
| m1_subset_1(sK34(sK156,X96,X95),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37688]) ).
fof(f44218,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_282
| spl168_7 ),
inference(avatar_split_clause,[],[f43714,f38978,f44216,f44142,f44138]) ).
fof(f44216,plain,
( spl168_282
<=> ! [X93,X94] :
( m1_subset_1(sK35(X93,sK156,X94),u1_struct_0(X93))
| ~ v10_lattices(X93)
| ~ m2_relset_1(X94,u1_struct_0(X93),u1_struct_0(sK156))
| m1_lattice4(X94,X93,sK156)
| ~ v1_funct_1(X94)
| ~ l3_lattices(X93)
| v3_struct_0(X93)
| ~ v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_282])]) ).
fof(f43714,plain,
( ! [X94,X93] :
( m1_subset_1(sK35(X93,sK156,X94),u1_struct_0(X93))
| ~ v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(sK156))
| v3_struct_0(X93)
| ~ v10_lattices(sK156)
| ~ l3_lattices(X93)
| ~ l3_lattices(sK156)
| ~ v1_funct_1(X94)
| m1_lattice4(X94,X93,sK156)
| ~ m2_relset_1(X94,u1_struct_0(X93),u1_struct_0(sK156))
| ~ v10_lattices(X93) )
| spl168_7 ),
inference(resolution,[],[f38980,f37687]) ).
fof(f44214,plain,
( ~ spl168_263
| spl168_281
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f44034,f38978,f44142,f44212,f44138]) ).
fof(f44212,plain,
( spl168_281
<=> ! [X671,X670,X672,X669] :
( ~ v1_funct_1(X670)
| ~ m2_relset_1(X670,u1_struct_0(X669),u1_struct_0(sK156))
| ~ l3_lattices(X669)
| ~ v10_lattices(X669)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,k3_lattices(X669,X671,X672)),k3_lattices(sK156,k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,X671),k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,X672)))
| ~ m1_subset_1(X672,u1_struct_0(X669))
| v3_struct_0(X669)
| ~ m4_vectsp_8(X670,X669,sK156)
| ~ v1_funct_2(X670,u1_struct_0(X669),u1_struct_0(sK156))
| ~ m1_subset_1(X671,u1_struct_0(X669)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_281])]) ).
fof(f44034,plain,
( ! [X670,X672,X669,X671] :
( ~ v10_lattices(sK156)
| ~ v1_funct_1(X670)
| ~ m1_subset_1(X671,u1_struct_0(X669))
| ~ v1_funct_2(X670,u1_struct_0(X669),u1_struct_0(sK156))
| ~ m4_vectsp_8(X670,X669,sK156)
| ~ l3_lattices(sK156)
| v3_struct_0(X669)
| ~ m1_subset_1(X672,u1_struct_0(X669))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,k3_lattices(X669,X671,X672)),k3_lattices(sK156,k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,X671),k8_funct_2(u1_struct_0(X669),u1_struct_0(sK156),X670,X672)))
| ~ v10_lattices(X669)
| ~ l3_lattices(X669)
| ~ m2_relset_1(X670,u1_struct_0(X669),u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f38742]) ).
fof(f38742,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v1_funct_1(X2)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)),k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X0) ),
inference(equality_proxy_replacement,[],[f37854,f38579]) ).
fof(f37854,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36963]) ).
fof(f44209,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_280
| spl168_7 ),
inference(avatar_split_clause,[],[f43682,f38978,f44207,f44138,f44142]) ).
fof(f44207,plain,
( spl168_280
<=> ! [X36,X37] :
( m2_relset_1(X36,u1_struct_0(X37),u1_struct_0(sK156))
| v3_struct_0(X37)
| ~ m3_vectsp_8(X36,X37,sK156)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_280])]) ).
fof(f43682,plain,
( ! [X36,X37] :
( m2_relset_1(X36,u1_struct_0(X37),u1_struct_0(sK156))
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(sK156)
| ~ m3_vectsp_8(X36,X37,sK156)
| v3_struct_0(X37)
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37485]) ).
fof(f44205,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_279
| spl168_7 ),
inference(avatar_split_clause,[],[f43875,f38978,f44203,f44142,f44138]) ).
fof(f44203,plain,
( spl168_279
<=> ! [X382] :
( ~ l3_lattices(X382)
| v3_struct_0(X382)
| ~ v10_lattices(X382)
| m1_lattice4(sK131(X382,sK156),X382,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_279])]) ).
fof(f43875,plain,
( ! [X382] :
( ~ l3_lattices(X382)
| ~ v10_lattices(sK156)
| m1_lattice4(sK131(X382,sK156),X382,sK156)
| ~ v10_lattices(X382)
| ~ l3_lattices(sK156)
| v3_struct_0(X382) )
| spl168_7 ),
inference(resolution,[],[f38980,f38169]) ).
fof(f44201,plain,
( spl168_277
| spl168_278
| ~ spl168_264
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43850,f38978,f44138,f44142,f44198,f44195]) ).
fof(f44198,plain,
( spl168_278
<=> m1_subset_1(sK122(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_278])]) ).
fof(f43850,plain,
( ! [X312] :
( ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| m1_subset_1(sK122(sK156),u1_struct_0(sK156))
| sP119(X312,sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38102]) ).
fof(f38102,plain,
! [X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(sK122(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| sP119(X4,X0) ),
inference(cnf_transformation,[],[f36834]) ).
fof(f44193,plain,
( ~ spl168_264
| spl168_276
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43694,f38978,f44138,f44191,f44142]) ).
fof(f44191,plain,
( spl168_276
<=> ! [X61,X60,X62] :
( ~ m1_subset_1(X60,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X62,X60),k3_lattices(sK156,X61,X62))
| ~ r3_lattices(sK156,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(sK156))
| ~ m1_subset_1(X62,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_276])]) ).
fof(f43694,plain,
( ! [X62,X60,X61] :
( ~ l3_lattices(sK156)
| ~ m1_subset_1(X60,u1_struct_0(sK156))
| ~ m1_subset_1(X62,u1_struct_0(sK156))
| ~ m1_subset_1(X61,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X60,X61)
| r3_lattices(sK156,k3_lattices(sK156,X62,X60),k3_lattices(sK156,X61,X62))
| ~ v10_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f37628]) ).
fof(f37628,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36736]) ).
fof(f44188,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_275
| spl168_7 ),
inference(avatar_split_clause,[],[f43776,f38978,f44186,f44142,f44138]) ).
fof(f44186,plain,
( spl168_275
<=> ! [X183,X185,X184,X186] :
( ~ r3_lattices(sK156,X186,X185)
| ~ m1_subset_1(X184,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X183,X186),k3_lattices(sK156,X185,X184))
| ~ m1_subset_1(X185,u1_struct_0(sK156))
| ~ m1_subset_1(X186,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X183,X184)
| ~ m1_subset_1(X183,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_275])]) ).
fof(f43776,plain,
( ! [X186,X184,X185,X183] :
( ~ r3_lattices(sK156,X186,X185)
| ~ m1_subset_1(X183,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X183,X184)
| ~ m1_subset_1(X186,u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X185,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X183,X186),k3_lattices(sK156,X185,X184))
| ~ m1_subset_1(X184,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37922]) ).
fof(f37922,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2)) ),
inference(cnf_transformation,[],[f36909]) ).
fof(f36909,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r3_lattices(X0,X3,X4)
| ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f36908]) ).
fof(f36908,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2)) )
| ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21503]) ).
fof(f21503,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X1,X2)
& r3_lattices(X0,X3,X4) )
=> ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_0) ).
fof(f44184,plain,
( ~ spl168_264
| spl168_274
| ~ spl168_263
| spl168_7 ),
inference(avatar_split_clause,[],[f43767,f38978,f44138,f44182,f44142]) ).
fof(f44182,plain,
( spl168_274
<=> ! [X167,X168] :
( v3_struct_0(X168)
| ~ l3_lattices(X168)
| ~ v10_lattices(X168)
| m4_vectsp_8(X167,sK156,X168)
| m1_subset_1(sK65(sK156,X168,X167),u1_struct_0(sK156))
| ~ v1_funct_1(X167)
| ~ v1_funct_2(X167,u1_struct_0(sK156),u1_struct_0(X168))
| ~ m2_relset_1(X167,u1_struct_0(sK156),u1_struct_0(X168)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_274])]) ).
fof(f43767,plain,
( ! [X168,X167] :
( ~ l3_lattices(sK156)
| v3_struct_0(X168)
| ~ m2_relset_1(X167,u1_struct_0(sK156),u1_struct_0(X168))
| ~ v1_funct_2(X167,u1_struct_0(sK156),u1_struct_0(X168))
| ~ v1_funct_1(X167)
| m1_subset_1(sK65(sK156,X168,X167),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| m4_vectsp_8(X167,sK156,X168)
| ~ v10_lattices(X168)
| ~ l3_lattices(X168) )
| spl168_7 ),
inference(resolution,[],[f38980,f37857]) ).
fof(f44180,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_273
| spl168_7 ),
inference(avatar_split_clause,[],[f43760,f38978,f44178,f44138,f44142]) ).
fof(f44178,plain,
( spl168_273
<=> ! [X153,X152] :
( v1_funct_1(X153)
| v3_struct_0(X152)
| ~ m4_vectsp_8(X153,sK156,X152)
| ~ v10_lattices(X152)
| ~ l3_lattices(X152) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_273])]) ).
fof(f43760,plain,
( ! [X152,X153] :
( v1_funct_1(X153)
| ~ v10_lattices(X152)
| ~ l3_lattices(sK156)
| ~ l3_lattices(X152)
| ~ v10_lattices(sK156)
| ~ m4_vectsp_8(X153,sK156,X152)
| v3_struct_0(X152) )
| spl168_7 ),
inference(resolution,[],[f38980,f37842]) ).
fof(f44176,plain,
( ~ spl168_263
| spl168_272
| ~ spl168_264
| spl168_7 ),
inference(avatar_split_clause,[],[f44032,f38978,f44142,f44174,f44138]) ).
fof(f44174,plain,
( spl168_272
<=> ! [X663,X664] :
( ~ l3_lattices(X663)
| ~ v1_funct_1(X664)
| m4_vectsp_8(X664,X663,sK156)
| v3_struct_0(X663)
| ~ v10_lattices(X663)
| ~ v1_funct_2(X664,u1_struct_0(X663),u1_struct_0(sK156))
| ~ m2_relset_1(X664,u1_struct_0(X663),u1_struct_0(sK156))
| ~ sQ167_eqProxy(k3_lattices(sK156,k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,sK65(X663,sK156,X664)),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,sK66(X663,sK156,X664))),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,k3_lattices(X663,sK65(X663,sK156,X664),sK66(X663,sK156,X664)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_272])]) ).
fof(f44032,plain,
( ! [X664,X663] :
( ~ v10_lattices(sK156)
| ~ l3_lattices(X663)
| ~ sQ167_eqProxy(k3_lattices(sK156,k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,sK65(X663,sK156,X664)),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,sK66(X663,sK156,X664))),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK156),X664,k3_lattices(X663,sK65(X663,sK156,X664),sK66(X663,sK156,X664))))
| ~ m2_relset_1(X664,u1_struct_0(X663),u1_struct_0(sK156))
| ~ v1_funct_2(X664,u1_struct_0(X663),u1_struct_0(sK156))
| ~ v10_lattices(X663)
| v3_struct_0(X663)
| m4_vectsp_8(X664,X663,sK156)
| ~ v1_funct_1(X664)
| ~ l3_lattices(sK156) )
| spl168_7 ),
inference(resolution,[],[f38980,f38741]) ).
fof(f44172,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_271
| spl168_7 ),
inference(avatar_split_clause,[],[f43777,f38978,f44170,f44138,f44142]) ).
fof(f44170,plain,
( spl168_271
<=> ! [X189,X188,X187,X190] :
( r3_lattices(sK156,k3_lattices(sK156,X188,X187),k3_lattices(sK156,X189,X190))
| ~ m1_subset_1(X188,u1_struct_0(sK156))
| ~ m1_subset_1(X187,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X188,X189)
| ~ m1_subset_1(X189,u1_struct_0(sK156))
| ~ m1_subset_1(X190,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X187,X190) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_271])]) ).
fof(f43777,plain,
( ! [X188,X189,X187,X190] :
( r3_lattices(sK156,k3_lattices(sK156,X188,X187),k3_lattices(sK156,X189,X190))
| ~ l3_lattices(sK156)
| ~ v10_lattices(sK156)
| ~ r3_lattices(sK156,X187,X190)
| ~ m1_subset_1(X190,u1_struct_0(sK156))
| ~ m1_subset_1(X189,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X188,X189)
| ~ m1_subset_1(X187,u1_struct_0(sK156))
| ~ m1_subset_1(X188,u1_struct_0(sK156)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37923]) ).
fof(f37923,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f36909]) ).
fof(f44168,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_270
| spl168_7 ),
inference(avatar_split_clause,[],[f43693,f38978,f44166,f44142,f44138]) ).
fof(f44166,plain,
( spl168_270
<=> ! [X57,X59,X58] :
( ~ m1_subset_1(X57,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X59,X57),k3_lattices(sK156,X59,X58))
| ~ m1_subset_1(X59,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X57,X58)
| ~ m1_subset_1(X58,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_270])]) ).
fof(f43693,plain,
( ! [X58,X59,X57] :
( ~ m1_subset_1(X57,u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X58,u1_struct_0(sK156))
| ~ r3_lattices(sK156,X57,X58)
| ~ m1_subset_1(X59,u1_struct_0(sK156))
| r3_lattices(sK156,k3_lattices(sK156,X59,X57),k3_lattices(sK156,X59,X58)) )
| spl168_7 ),
inference(resolution,[],[f38980,f37627]) ).
fof(f37627,plain,
! [X2,X3,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f36736]) ).
fof(f44164,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_269
| spl168_7 ),
inference(avatar_split_clause,[],[f43717,f38978,f44162,f44142,f44138]) ).
fof(f44162,plain,
( spl168_269
<=> ! [X99] :
( ~ v10_lattices(X99)
| ~ l3_lattices(X99)
| v3_struct_0(X99)
| m3_vectsp_8(sK36(sK156,X99),X99,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_269])]) ).
fof(f43717,plain,
( ! [X99] :
( ~ v10_lattices(X99)
| m3_vectsp_8(sK36(sK156,X99),X99,sK156)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| v3_struct_0(X99)
| ~ l3_lattices(X99) )
| spl168_7 ),
inference(resolution,[],[f38980,f37691]) ).
fof(f44160,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_268
| spl168_7 ),
inference(avatar_split_clause,[],[f43793,f38978,f44158,f44142,f44138]) ).
fof(f44158,plain,
( spl168_268
<=> ! [X226,X225] :
( ~ l3_lattices(X225)
| ~ v10_lattices(X225)
| ~ v1_funct_1(X226)
| ~ m1_lattice4(X226,X225,sK156)
| ~ v1_funct_2(X226,u1_struct_0(X225),u1_struct_0(sK156))
| v3_struct_0(X225)
| ~ m2_relset_1(X226,u1_struct_0(X225),u1_struct_0(sK156))
| m3_vectsp_8(X226,X225,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_268])]) ).
fof(f43793,plain,
( ! [X225,X226] :
( ~ l3_lattices(X225)
| m3_vectsp_8(X226,X225,sK156)
| ~ m2_relset_1(X226,u1_struct_0(X225),u1_struct_0(sK156))
| v3_struct_0(X225)
| ~ v1_funct_2(X226,u1_struct_0(X225),u1_struct_0(sK156))
| ~ v10_lattices(sK156)
| ~ m1_lattice4(X226,X225,sK156)
| ~ v1_funct_1(X226)
| ~ l3_lattices(sK156)
| ~ v10_lattices(X225) )
| spl168_7 ),
inference(resolution,[],[f38980,f37958]) ).
fof(f44156,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_267
| spl168_7 ),
inference(avatar_split_clause,[],[f44015,f38978,f44154,f44142,f44138]) ).
fof(f44154,plain,
( spl168_267
<=> ! [X625,X626,X627,X628] :
( ~ l3_lattices(X625)
| v3_struct_0(X625)
| ~ m2_relset_1(X626,u1_struct_0(sK156),u1_struct_0(X625))
| ~ m1_subset_1(X628,u1_struct_0(sK156))
| ~ v10_lattices(X625)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,k4_lattices(sK156,X628,X627)),k4_lattices(X625,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,X628),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,X627)))
| ~ v1_funct_2(X626,u1_struct_0(sK156),u1_struct_0(X625))
| ~ v1_funct_1(X626)
| ~ m1_lattice4(X626,sK156,X625)
| ~ m1_subset_1(X627,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_267])]) ).
fof(f44015,plain,
( ! [X628,X626,X625,X627] :
( ~ l3_lattices(X625)
| ~ m1_subset_1(X627,u1_struct_0(sK156))
| ~ m1_lattice4(X626,sK156,X625)
| ~ v10_lattices(sK156)
| ~ l3_lattices(sK156)
| ~ v1_funct_1(X626)
| ~ v1_funct_2(X626,u1_struct_0(sK156),u1_struct_0(X625))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,k4_lattices(sK156,X628,X627)),k4_lattices(X625,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,X628),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X625),X626,X627)))
| ~ v10_lattices(X625)
| ~ m1_subset_1(X628,u1_struct_0(sK156))
| ~ m2_relset_1(X626,u1_struct_0(sK156),u1_struct_0(X625))
| v3_struct_0(X625) )
| spl168_7 ),
inference(resolution,[],[f38980,f38686]) ).
fof(f44152,plain,
( ~ spl168_264
| ~ spl168_263
| spl168_266
| spl168_7 ),
inference(avatar_split_clause,[],[f44033,f38978,f44150,f44138,f44142]) ).
fof(f44150,plain,
( spl168_266
<=> ! [X666,X665,X667,X668] :
( ~ m2_relset_1(X666,u1_struct_0(sK156),u1_struct_0(X665))
| ~ v1_funct_1(X666)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,k3_lattices(sK156,X667,X668)),k3_lattices(X665,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,X667),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,X668)))
| ~ m4_vectsp_8(X666,sK156,X665)
| v3_struct_0(X665)
| ~ l3_lattices(X665)
| ~ v1_funct_2(X666,u1_struct_0(sK156),u1_struct_0(X665))
| ~ v10_lattices(X665)
| ~ m1_subset_1(X667,u1_struct_0(sK156))
| ~ m1_subset_1(X668,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_266])]) ).
fof(f44033,plain,
( ! [X665,X667,X668,X666] :
( ~ m2_relset_1(X666,u1_struct_0(sK156),u1_struct_0(X665))
| ~ m1_subset_1(X668,u1_struct_0(sK156))
| ~ m1_subset_1(X667,u1_struct_0(sK156))
| ~ v10_lattices(X665)
| ~ v1_funct_2(X666,u1_struct_0(sK156),u1_struct_0(X665))
| ~ l3_lattices(X665)
| ~ l3_lattices(sK156)
| v3_struct_0(X665)
| ~ m4_vectsp_8(X666,sK156,X665)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,k3_lattices(sK156,X667,X668)),k3_lattices(X665,k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,X667),k8_funct_2(u1_struct_0(sK156),u1_struct_0(X665),X666,X668)))
| ~ v10_lattices(sK156)
| ~ v1_funct_1(X666) )
| spl168_7 ),
inference(resolution,[],[f38980,f38742]) ).
fof(f44148,plain,
( ~ spl168_263
| ~ spl168_264
| spl168_265
| spl168_7 ),
inference(avatar_split_clause,[],[f44018,f38978,f44146,f44142,f44138]) ).
fof(f44146,plain,
( spl168_265
<=> ! [X640,X637,X638,X639] :
( ~ m1_subset_1(X640,u1_struct_0(X637))
| ~ l3_lattices(X637)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,k3_lattices(X637,X639,X640)),k3_lattices(sK156,k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,X639),k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,X640)))
| ~ v10_lattices(X637)
| ~ m1_subset_1(X639,u1_struct_0(X637))
| v3_struct_0(X637)
| ~ m2_relset_1(X638,u1_struct_0(X637),u1_struct_0(sK156))
| ~ v1_funct_2(X638,u1_struct_0(X637),u1_struct_0(sK156))
| ~ v1_funct_1(X638)
| ~ m1_lattice4(X638,X637,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_265])]) ).
fof(f44018,plain,
( ! [X638,X637,X639,X640] :
( ~ m1_subset_1(X640,u1_struct_0(X637))
| ~ m1_lattice4(X638,X637,sK156)
| ~ v1_funct_1(X638)
| ~ v10_lattices(sK156)
| ~ v1_funct_2(X638,u1_struct_0(X637),u1_struct_0(sK156))
| ~ m2_relset_1(X638,u1_struct_0(X637),u1_struct_0(sK156))
| v3_struct_0(X637)
| ~ l3_lattices(sK156)
| ~ m1_subset_1(X639,u1_struct_0(X637))
| ~ v10_lattices(X637)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,k3_lattices(X637,X639,X640)),k3_lattices(sK156,k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,X639),k8_funct_2(u1_struct_0(X637),u1_struct_0(sK156),X638,X640)))
| ~ l3_lattices(X637) )
| spl168_7 ),
inference(resolution,[],[f38980,f38687]) ).
fof(f43663,plain,
( ~ spl168_251
| ~ spl168_250
| ~ spl168_248
| ~ spl168_249
| ~ spl168_253
| ~ spl168_246
| ~ spl168_247
| spl168_260
| spl168_255
| ~ spl168_252
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43662,f38978,f38973,f43601,f43612,f43642,f43581,f43577,f43605,f43589,f43585,f43593,f43597]) ).
fof(f43605,plain,
( spl168_253
<=> v8_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_253])]) ).
fof(f43577,plain,
( spl168_246
<=> v6_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_246])]) ).
fof(f43581,plain,
( spl168_247
<=> v3_rlvect_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_247])]) ).
fof(f43642,plain,
( spl168_260
<=> m1_subset_1(sK9(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_260])]) ).
fof(f43612,plain,
( spl168_255
<=> v9_vectsp_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_255])]) ).
fof(f43662,plain,
( ~ v5_rlvect_1(sK156)
| v9_vectsp_1(sK156)
| m1_subset_1(sK9(sK156),u1_struct_0(sK156))
| ~ v3_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43245,f38980]) ).
fof(f43245,plain,
( ~ v6_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| v9_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| v3_struct_0(sK156)
| ~ v5_rlvect_1(sK156)
| m1_subset_1(sK9(sK156),u1_struct_0(sK156))
| ~ v4_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ spl168_6 ),
inference(resolution,[],[f38975,f37506]) ).
fof(f37506,plain,
! [X0] :
( m1_subset_1(sK9(X0),u1_struct_0(X0))
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| v9_vectsp_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f36901,plain,
! [X0] :
( ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ( k1_rlvect_1(X0) = k2_group_1(X0)
| ( ! [X2] :
( k1_group_1(X0,X1,X2) != k2_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& k1_rlvect_1(X0) != X1 ) ) )
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ( v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& v9_vectsp_1(X0) ) ),
inference(flattening,[],[f36900]) ).
fof(f36900,plain,
! [X0] :
( ( v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& v9_vectsp_1(X0) )
| ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ( k1_rlvect_1(X0) = k2_group_1(X0)
| ( ! [X2] :
( k1_group_1(X0,X1,X2) != k2_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& k1_rlvect_1(X0) != X1 ) ) )
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(ennf_transformation,[],[f21387]) ).
fof(f21387,axiom,
! [X0] :
( ( v6_rlvect_1(X0)
& l3_vectsp_1(X0)
& v6_vectsp_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& v3_rlvect_1(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
& ~ ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_group_1(X0,X1,X2) != k2_group_1(X0) )
& k1_rlvect_1(X0) != X1 ) ) )
=> ( v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& v9_vectsp_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_vectsp_2) ).
fof(f43661,plain,
( ~ spl168_250
| spl168_257
| ~ spl168_117
| ~ spl168_249
| ~ spl168_247
| ~ spl168_251
| ~ spl168_252
| ~ spl168_253
| ~ spl168_248
| ~ spl168_246
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43660,f38978,f38973,f43577,f43585,f43605,f43601,f43597,f43581,f43589,f41406,f43623,f43593]) ).
fof(f43623,plain,
( spl168_257
<=> sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_257])]) ).
fof(f41406,plain,
( spl168_117
<=> v3_realset2(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_117])]) ).
fof(f43660,plain,
( ~ v6_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v3_realset2(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v7_vectsp_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43485,f38980]) ).
fof(f43485,plain,
( ~ v6_vectsp_1(sK156)
| ~ v3_realset2(sK156)
| v3_struct_0(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v5_rlvect_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38708]) ).
fof(f38708,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_realset2(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37729,f38579]) ).
fof(f37729,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v3_realset2(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36868]) ).
fof(f36868,plain,
! [X0] :
( ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ( v3_realset2(X0)
<=> k1_rlvect_1(X0) = k2_group_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(flattening,[],[f36867]) ).
fof(f36867,plain,
! [X0] :
( ( v3_realset2(X0)
<=> k1_rlvect_1(X0) = k2_group_1(X0) )
| ~ v4_group_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0) ),
inference(ennf_transformation,[],[f29194]) ).
fof(f29194,axiom,
! [X0] :
( ( v4_group_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0) )
=> ( v3_realset2(X0)
<=> k1_rlvect_1(X0) = k2_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lmod_6) ).
fof(f43657,plain,
( ~ spl168_253
| ~ spl168_248
| ~ spl168_245
| ~ spl168_252
| ~ spl168_250
| ~ spl168_247
| ~ spl168_246
| spl168_257
| ~ spl168_251
| spl168_261
| ~ spl168_249
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43656,f38978,f38973,f43589,f43648,f43597,f43623,f43577,f43581,f43593,f43601,f43573,f43585,f43605]) ).
fof(f43648,plain,
( spl168_261
<=> ! [X361] :
( ~ m1_subset_1(X361,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK9(sK156),X361)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_261])]) ).
fof(f43656,plain,
( ! [X360] :
( ~ v4_rlvect_1(sK156)
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK9(sK156),X360))
| ~ l3_vectsp_1(sK156)
| ~ m1_subset_1(X360,u1_struct_0(sK156))
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v6_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v10_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43435,f38980]) ).
fof(f43435,plain,
( ! [X360] :
( sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v7_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ m1_subset_1(X360,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK9(sK156),X360))
| ~ v3_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v10_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| v3_struct_0(sK156)
| ~ v6_rlvect_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38602]) ).
fof(f38602,plain,
! [X2,X0] :
( ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v10_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ sQ167_eqProxy(k2_group_1(X0),k1_group_1(X0,sK9(X0),X2)) ),
inference(equality_proxy_replacement,[],[f37502,f38579,f38579]) ).
fof(f37502,plain,
! [X2,X0] :
( ~ v10_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_group_1(X0) != k1_group_1(X0,sK9(X0),X2)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f43655,plain,
( ~ spl168_250
| ~ spl168_253
| ~ spl168_246
| ~ spl168_252
| ~ spl168_247
| ~ spl168_248
| ~ spl168_249
| ~ spl168_255
| spl168_245
| spl168_262
| ~ spl168_251
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43651,f38978,f38973,f43597,f43653,f43573,f43612,f43589,f43585,f43581,f43601,f43577,f43605,f43593]) ).
fof(f43653,plain,
( spl168_262
<=> ! [X468] :
( ~ m1_subset_1(X468,u1_struct_0(sK156))
| sQ167_eqProxy(k1_rlvect_1(sK156),X468)
| m1_subset_1(sK67(sK156,X468),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_262])]) ).
fof(f43651,plain,
( ! [X468] :
( ~ l3_vectsp_1(sK156)
| ~ m1_subset_1(X468,u1_struct_0(sK156))
| v10_vectsp_1(sK156)
| m1_subset_1(sK67(sK156,X468),u1_struct_0(sK156))
| ~ v9_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X468)
| ~ v7_vectsp_1(sK156) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43494,f38980]) ).
fof(f43494,plain,
( ! [X468] :
( ~ m1_subset_1(X468,u1_struct_0(sK156))
| ~ v5_rlvect_1(sK156)
| m1_subset_1(sK67(sK156,X468),u1_struct_0(sK156))
| v10_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v9_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X468)
| v3_struct_0(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38743]) ).
fof(f38743,plain,
! [X0,X1] :
( ~ v8_vectsp_1(X0)
| m1_subset_1(sK67(X0,X1),u1_struct_0(X0))
| ~ v6_vectsp_1(X0)
| v10_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v9_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),X1)
| ~ v6_rlvect_1(X0) ),
inference(equality_proxy_replacement,[],[f37859,f38579]) ).
fof(f37859,plain,
! [X0,X1] :
( v10_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v9_vectsp_1(X0)
| k1_rlvect_1(X0) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK67(X0,X1),u1_struct_0(X0))
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36724]) ).
fof(f36724,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_rlvect_1(X0) = X1 )
| ~ v9_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| v10_vectsp_1(X0) ),
inference(flattening,[],[f36723]) ).
fof(f36723,plain,
! [X0] :
( ! [X1] :
( k1_rlvect_1(X0) = X1
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ~ v9_vectsp_1(X0)
| ~ v6_rlvect_1(X0) ),
inference(ennf_transformation,[],[f21411]) ).
fof(f21411,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_group_1(X0)
& v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v9_vectsp_1(X0)
& v6_rlvect_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( k1_rlvect_1(X0) != X1
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_group_1(X0,X2,X1) != k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_vectsp_2) ).
fof(f43650,plain,
( ~ spl168_251
| ~ spl168_250
| ~ spl168_247
| spl168_255
| spl168_257
| ~ spl168_249
| ~ spl168_252
| spl168_261
| ~ spl168_248
| ~ spl168_253
| ~ spl168_246
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43646,f38978,f38973,f43577,f43605,f43585,f43648,f43601,f43589,f43623,f43612,f43581,f43593,f43597]) ).
fof(f43646,plain,
( ! [X361] :
( ~ v6_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ m1_subset_1(X361,u1_struct_0(sK156))
| ~ v5_rlvect_1(sK156)
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK9(sK156),X361))
| ~ v4_rlvect_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| v9_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43436,f38980]) ).
fof(f43436,plain,
( ! [X361] :
( ~ v6_rlvect_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v8_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK9(sK156),X361))
| v9_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ m1_subset_1(X361,u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ v5_rlvect_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38603]) ).
fof(f38603,plain,
! [X2,X0] :
( ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ sQ167_eqProxy(k2_group_1(X0),k1_group_1(X0,sK9(X0),X2))
| sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| v9_vectsp_1(X0) ),
inference(equality_proxy_replacement,[],[f37501,f38579,f38579]) ).
fof(f37501,plain,
! [X2,X0] :
( v9_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_group_1(X0) != k1_group_1(X0,sK9(X0),X2)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f43645,plain,
( ~ spl168_250
| ~ spl168_251
| ~ spl168_247
| ~ spl168_253
| ~ spl168_246
| ~ spl168_249
| ~ spl168_248
| spl168_260
| ~ spl168_245
| ~ spl168_252
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43640,f38978,f38973,f43601,f43573,f43642,f43585,f43589,f43577,f43605,f43581,f43597,f43593]) ).
fof(f43640,plain,
( ~ v5_rlvect_1(sK156)
| ~ v10_vectsp_1(sK156)
| m1_subset_1(sK9(sK156),u1_struct_0(sK156))
| ~ v6_rlvect_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43244,f38980]) ).
fof(f43244,plain,
( v3_struct_0(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v10_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| m1_subset_1(sK9(sK156),u1_struct_0(sK156))
| ~ spl168_6 ),
inference(resolution,[],[f38975,f37505]) ).
fof(f37505,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v10_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| m1_subset_1(sK9(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f43639,plain,
( ~ spl168_249
| spl168_257
| ~ spl168_252
| ~ spl168_251
| ~ spl168_248
| ~ spl168_253
| ~ spl168_247
| ~ spl168_250
| ~ spl168_246
| ~ spl168_258
| spl168_255
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43638,f38978,f38973,f43612,f43629,f43577,f43593,f43581,f43605,f43585,f43597,f43601,f43623,f43589]) ).
fof(f43629,plain,
( spl168_258
<=> sQ167_eqProxy(k1_rlvect_1(sK156),sK9(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_258])]) ).
fof(f43638,plain,
( v9_vectsp_1(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),sK9(sK156))
| ~ v6_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v4_rlvect_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43433,f38980]) ).
fof(f43433,plain,
( ~ sQ167_eqProxy(k1_rlvect_1(sK156),sK9(sK156))
| ~ v7_vectsp_1(sK156)
| v3_struct_0(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v5_rlvect_1(sK156)
| v9_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v8_vectsp_1(sK156)
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38600]) ).
fof(f38600,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ sQ167_eqProxy(k1_rlvect_1(X0),sK9(X0))
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v9_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(equality_proxy_replacement,[],[f37504,f38579,f38579]) ).
fof(f37504,plain,
! [X0] :
( v9_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| k1_rlvect_1(X0) != sK9(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f43637,plain,
( ~ spl168_252
| ~ spl168_248
| ~ spl168_253
| ~ spl168_249
| spl168_245
| ~ spl168_247
| spl168_259
| ~ spl168_250
| ~ spl168_255
| ~ spl168_251
| ~ spl168_246
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43633,f38978,f38973,f43577,f43597,f43612,f43593,f43635,f43581,f43573,f43589,f43605,f43585,f43601]) ).
fof(f43635,plain,
( spl168_259
<=> ! [X607,X606] :
( ~ m1_subset_1(X607,u1_struct_0(sK156))
| sQ167_eqProxy(k1_rlvect_1(sK156),X606)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),k1_group_1(sK156,X606,X607))
| ~ m1_subset_1(X606,u1_struct_0(sK156))
| sQ167_eqProxy(k1_rlvect_1(sK156),X607) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_259])]) ).
fof(f43633,plain,
( ! [X606,X607] :
( ~ v6_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v9_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ m1_subset_1(X607,u1_struct_0(sK156))
| ~ v3_rlvect_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X607)
| sQ167_eqProxy(k1_rlvect_1(sK156),X606)
| v10_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ m1_subset_1(X606,u1_struct_0(sK156))
| ~ v6_rlvect_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),k1_group_1(sK156,X606,X607)) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43559,f38980]) ).
fof(f43559,plain,
( ! [X606,X607] :
( sQ167_eqProxy(k1_rlvect_1(sK156),X606)
| ~ m1_subset_1(X606,u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ m1_subset_1(X607,u1_struct_0(sK156))
| v10_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v9_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X607)
| ~ v3_rlvect_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),k1_group_1(sK156,X606,X607))
| ~ l3_vectsp_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38926]) ).
fof(f38926,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),X2)
| ~ v9_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),X1)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ sQ167_eqProxy(k1_rlvect_1(X0),k1_group_1(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(equality_proxy_replacement,[],[f38369,f38579,f38579,f38579]) ).
fof(f38369,plain,
! [X2,X0,X1] :
( ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) = X1
| k1_rlvect_1(X0) = X2
| k1_rlvect_1(X0) != k1_group_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v9_vectsp_1(X0)
| v10_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f36744]) ).
fof(f36744,plain,
! [X0] :
( ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ v9_vectsp_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( k1_rlvect_1(X0) != k1_group_1(X0,X1,X2)
| k1_rlvect_1(X0) = X2
| k1_rlvect_1(X0) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0) ),
inference(flattening,[],[f36743]) ).
fof(f36743,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_rlvect_1(X0) = X2
| k1_rlvect_1(X0) = X1
| k1_rlvect_1(X0) != k1_group_1(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v9_vectsp_1(X0) ),
inference(ennf_transformation,[],[f21421]) ).
fof(f21421,axiom,
! [X0] :
( ( v6_vectsp_1(X0)
& l3_vectsp_1(X0)
& v4_group_1(X0)
& v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0)
& ~ v10_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& v9_vectsp_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( k1_rlvect_1(X0) != X2
& k1_rlvect_1(X0) != X1
& k1_rlvect_1(X0) = k1_group_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_vectsp_2) ).
fof(f43632,plain,
( ~ spl168_248
| ~ spl168_252
| ~ spl168_249
| ~ spl168_258
| ~ spl168_247
| ~ spl168_245
| ~ spl168_250
| spl168_257
| ~ spl168_246
| ~ spl168_251
| ~ spl168_253
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43627,f38978,f38973,f43605,f43597,f43577,f43623,f43593,f43573,f43581,f43629,f43589,f43601,f43585]) ).
fof(f43627,plain,
( ~ v8_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v7_vectsp_1(sK156)
| ~ v10_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),sK9(sK156))
| ~ v4_rlvect_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43434,f38980]) ).
fof(f43434,plain,
( ~ v5_rlvect_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| v3_struct_0(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),sK9(sK156))
| ~ v6_vectsp_1(sK156)
| ~ v10_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v8_vectsp_1(sK156)
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38601]) ).
fof(f38601,plain,
! [X0] :
( ~ v3_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v4_rlvect_1(X0)
| ~ sQ167_eqProxy(k1_rlvect_1(X0),sK9(X0))
| v3_struct_0(X0)
| ~ v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_proxy_replacement,[],[f37503,f38579,f38579]) ).
fof(f37503,plain,
! [X0] :
( ~ v10_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| k1_rlvect_1(X0) != sK9(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f36901]) ).
fof(f43626,plain,
( ~ spl168_253
| ~ spl168_247
| ~ spl168_251
| ~ spl168_248
| ~ spl168_252
| ~ spl168_246
| ~ spl168_249
| ~ spl168_257
| spl168_117
| ~ spl168_250
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43621,f38978,f38973,f43593,f41406,f43623,f43589,f43577,f43601,f43585,f43597,f43581,f43605]) ).
fof(f43621,plain,
( ~ v7_vectsp_1(sK156)
| v3_realset2(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v4_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43486,f38980]) ).
fof(f43486,plain,
( v3_realset2(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ sQ167_eqProxy(k1_rlvect_1(sK156),k2_group_1(sK156))
| ~ v3_rlvect_1(sK156)
| v3_struct_0(sK156)
| ~ l3_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38709]) ).
fof(f38709,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ sQ167_eqProxy(k1_rlvect_1(X0),k2_group_1(X0))
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| v3_realset2(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(equality_proxy_replacement,[],[f37728,f38579]) ).
fof(f37728,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(X0) != k2_group_1(X0)
| v3_realset2(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(cnf_transformation,[],[f36868]) ).
fof(f43620,plain,
( ~ spl168_251
| ~ spl168_249
| ~ spl168_252
| ~ spl168_250
| ~ spl168_253
| ~ spl168_247
| spl168_245
| ~ spl168_246
| ~ spl168_255
| spl168_256
| ~ spl168_248
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43616,f38978,f38973,f43585,f43618,f43612,f43577,f43573,f43581,f43605,f43593,f43601,f43589,f43597]) ).
fof(f43618,plain,
( spl168_256
<=> ! [X469] :
( ~ m1_subset_1(X469,u1_struct_0(sK156))
| sQ167_eqProxy(k1_rlvect_1(sK156),X469)
| sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK67(sK156,X469),X469)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_256])]) ).
fof(f43616,plain,
( ! [X469] :
( ~ v6_rlvect_1(sK156)
| ~ m1_subset_1(X469,u1_struct_0(sK156))
| ~ v9_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| v10_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK67(sK156,X469),X469))
| ~ v5_rlvect_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X469) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43495,f38980]) ).
fof(f43495,plain,
( ! [X469] :
( ~ l3_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ m1_subset_1(X469,u1_struct_0(sK156))
| v3_struct_0(sK156)
| sQ167_eqProxy(k1_rlvect_1(sK156),X469)
| sQ167_eqProxy(k2_group_1(sK156),k1_group_1(sK156,sK67(sK156,X469),X469))
| ~ v9_vectsp_1(sK156)
| ~ v3_rlvect_1(sK156)
| v10_vectsp_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v6_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38744]) ).
fof(f38744,plain,
! [X0,X1] :
( ~ v3_rlvect_1(X0)
| sQ167_eqProxy(k1_rlvect_1(X0),X1)
| ~ v9_vectsp_1(X0)
| sQ167_eqProxy(k2_group_1(X0),k1_group_1(X0,sK67(X0,X1),X1))
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| v10_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(equality_proxy_replacement,[],[f37858,f38579,f38579]) ).
fof(f37858,plain,
! [X0,X1] :
( v10_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v9_vectsp_1(X0)
| k1_rlvect_1(X0) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) = k1_group_1(X0,sK67(X0,X1),X1)
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36724]) ).
fof(f43615,plain,
( spl168_245
| ~ spl168_246
| ~ spl168_247
| ~ spl168_248
| ~ spl168_249
| ~ spl168_250
| ~ spl168_251
| ~ spl168_252
| ~ spl168_253
| spl168_254
| ~ spl168_255
| ~ spl168_6
| spl168_7 ),
inference(avatar_split_clause,[],[f43571,f38978,f38973,f43612,f43609,f43605,f43601,f43597,f43593,f43589,f43585,f43581,f43577,f43573]) ).
fof(f43609,plain,
( spl168_254
<=> ! [X356,X357] :
( ~ m1_subset_1(X357,u1_struct_0(sK156))
| ~ m1_subset_1(X356,u1_struct_0(sK156))
| sQ167_eqProxy(k1_group_1(sK156,X356,X357),k2_group_1(sK156))
| ~ sQ167_eqProxy(k1_group_1(sK156,X357,X356),k2_group_1(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_254])]) ).
fof(f43571,plain,
( ! [X357,X356] :
( ~ v9_vectsp_1(sK156)
| ~ m1_subset_1(X357,u1_struct_0(sK156))
| ~ v8_vectsp_1(sK156)
| ~ v5_rlvect_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ sQ167_eqProxy(k1_group_1(sK156,X357,X356),k2_group_1(sK156))
| ~ v7_vectsp_1(sK156)
| ~ v4_rlvect_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v3_rlvect_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,X356,X357),k2_group_1(sK156))
| ~ m1_subset_1(X356,u1_struct_0(sK156))
| ~ v6_vectsp_1(sK156)
| v10_vectsp_1(sK156) )
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f43431,f38980]) ).
fof(f43431,plain,
( ! [X357,X356] :
( ~ sQ167_eqProxy(k1_group_1(sK156,X357,X356),k2_group_1(sK156))
| ~ m1_subset_1(X356,u1_struct_0(sK156))
| ~ v6_vectsp_1(sK156)
| ~ v6_rlvect_1(sK156)
| ~ v8_vectsp_1(sK156)
| ~ v7_vectsp_1(sK156)
| ~ v9_vectsp_1(sK156)
| ~ l3_vectsp_1(sK156)
| ~ m1_subset_1(X357,u1_struct_0(sK156))
| ~ v5_rlvect_1(sK156)
| v10_vectsp_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,X356,X357),k2_group_1(sK156))
| ~ v4_rlvect_1(sK156)
| v3_struct_0(sK156)
| ~ v3_rlvect_1(sK156) )
| ~ spl168_6 ),
inference(resolution,[],[f38975,f38587]) ).
fof(f38587,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v10_vectsp_1(X0)
| ~ sQ167_eqProxy(k1_group_1(X0,X1,X2),k2_group_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sQ167_eqProxy(k1_group_1(X0,X2,X1),k2_group_1(X0))
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v9_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_proxy_replacement,[],[f37471,f38579,f38579]) ).
fof(f37471,plain,
! [X2,X0,X1] :
( ~ v9_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| v10_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_group_1(X0,X2,X1) = k2_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0) ),
inference(cnf_transformation,[],[f37097]) ).
fof(f37097,plain,
! [X0] :
( ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X2,X1) = k2_group_1(X0)
| k1_group_1(X0,X1,X2) != k2_group_1(X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v5_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v9_vectsp_1(X0) ),
inference(flattening,[],[f37096]) ).
fof(f37096,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_group_1(X0,X2,X1) = k2_group_1(X0)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v9_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(ennf_transformation,[],[f21412]) ).
fof(f21412,axiom,
! [X0] :
( ( v3_rlvect_1(X0)
& v5_rlvect_1(X0)
& v7_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v9_vectsp_1(X0)
& v8_vectsp_1(X0)
& v6_vectsp_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
=> k1_group_1(X0,X2,X1) = k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_vectsp_2) ).
fof(f43231,plain,
( ~ spl168_244
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(avatar_split_clause,[],[f43226,f39405,f39008,f38968,f43228]) ).
fof(f43228,plain,
( spl168_244
<=> sQ167_eqProxy(k1_group_1(sK157,sK106(sK157),sK105(sK157)),k1_group_1(sK157,sK105(sK157),sK106(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_244])]) ).
fof(f39405,plain,
( spl168_16
<=> v7_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_16])]) ).
fof(f43226,plain,
( ~ sQ167_eqProxy(k1_group_1(sK157,sK106(sK157),sK105(sK157)),k1_group_1(sK157,sK105(sK157),sK106(sK157)))
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(subsumption_resolution,[],[f43225,f39010]) ).
fof(f43225,plain,
( ~ l1_group_1(sK157)
| ~ sQ167_eqProxy(k1_group_1(sK157,sK106(sK157),sK105(sK157)),k1_group_1(sK157,sK105(sK157),sK106(sK157)))
| spl168_5
| spl168_16 ),
inference(subsumption_resolution,[],[f42753,f39407]) ).
fof(f39407,plain,
( ~ v7_group_1(sK157)
| spl168_16 ),
inference(avatar_component_clause,[],[f39405]) ).
fof(f42753,plain,
( v7_group_1(sK157)
| ~ sQ167_eqProxy(k1_group_1(sK157,sK106(sK157),sK105(sK157)),k1_group_1(sK157,sK105(sK157),sK106(sK157)))
| ~ l1_group_1(sK157)
| spl168_5 ),
inference(resolution,[],[f38970,f38820]) ).
fof(f43224,plain,
( spl168_243
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f43219,f39008,f39003,f38968,f43221]) ).
fof(f43221,plain,
( spl168_243
<=> m1_group_2(sK159(sK157),sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_243])]) ).
fof(f43219,plain,
( m1_group_2(sK159(sK157),sK157)
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f43218,f39010]) ).
fof(f43218,plain,
( ~ l1_group_1(sK157)
| m1_group_2(sK159(sK157),sK157)
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f42596,f39005]) ).
fof(f42596,plain,
( m1_group_2(sK159(sK157),sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| spl168_5 ),
inference(resolution,[],[f38970,f38336]) ).
fof(f38336,plain,
! [X0] :
( ~ v3_group_1(X0)
| m1_group_2(sK159(X0),X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37030]) ).
fof(f37030,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37029]) ).
fof(f37029,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22008]) ).
fof(f22008,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f43217,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_242
| spl168_5 ),
inference(avatar_split_clause,[],[f42552,f38968,f43215,f42820,f42816]) ).
fof(f42816,plain,
( spl168_155
<=> l3_lattices(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_155])]) ).
fof(f42820,plain,
( spl168_156
<=> v10_lattices(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_156])]) ).
fof(f43215,plain,
( spl168_242
<=> ! [X381] :
( ~ l3_lattices(X381)
| v3_struct_0(X381)
| m1_lattice4(sK131(sK157,X381),sK157,X381)
| ~ v10_lattices(X381) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_242])]) ).
fof(f42552,plain,
( ! [X381] :
( ~ l3_lattices(X381)
| ~ v10_lattices(sK157)
| ~ v10_lattices(X381)
| m1_lattice4(sK131(sK157,X381),sK157,X381)
| ~ l3_lattices(sK157)
| v3_struct_0(X381) )
| spl168_5 ),
inference(resolution,[],[f38970,f38169]) ).
fof(f43213,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_241
| spl168_5 ),
inference(avatar_split_clause,[],[f42727,f38968,f43211,f42816,f42820]) ).
fof(f43211,plain,
( spl168_241
<=> ! [X701,X700] :
( ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,k4_lattices(sK157,sK75(sK157,X701,X700),sK76(sK157,X701,X700))),k4_lattices(X701,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,sK75(sK157,X701,X700)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,sK76(sK157,X701,X700))))
| ~ l3_lattices(X701)
| ~ v10_lattices(X701)
| ~ m2_relset_1(X700,u1_struct_0(sK157),u1_struct_0(X701))
| m3_vectsp_8(X700,sK157,X701)
| ~ v1_funct_2(X700,u1_struct_0(sK157),u1_struct_0(X701))
| ~ v1_funct_1(X700)
| v3_struct_0(X701) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_241])]) ).
fof(f42727,plain,
( ! [X701,X700] :
( ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,k4_lattices(sK157,sK75(sK157,X701,X700),sK76(sK157,X701,X700))),k4_lattices(X701,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,sK75(sK157,X701,X700)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X701),X700,sK76(sK157,X701,X700))))
| v3_struct_0(X701)
| ~ v1_funct_1(X700)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ v1_funct_2(X700,u1_struct_0(sK157),u1_struct_0(X701))
| m3_vectsp_8(X700,sK157,X701)
| ~ m2_relset_1(X700,u1_struct_0(sK157),u1_struct_0(X701))
| ~ v10_lattices(X701)
| ~ l3_lattices(X701) )
| spl168_5 ),
inference(resolution,[],[f38970,f38768]) ).
fof(f43209,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_240
| spl168_5 ),
inference(avatar_split_clause,[],[f42696,f38968,f43207,f42816,f42820]) ).
fof(f43207,plain,
( spl168_240
<=> ! [X640,X637,X638,X639] :
( ~ v1_funct_1(X638)
| ~ m1_lattice4(X638,X637,sK157)
| ~ m1_subset_1(X639,u1_struct_0(X637))
| v3_struct_0(X637)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,k3_lattices(X637,X639,X640)),k3_lattices(sK157,k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,X639),k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,X640)))
| ~ m1_subset_1(X640,u1_struct_0(X637))
| ~ m2_relset_1(X638,u1_struct_0(X637),u1_struct_0(sK157))
| ~ v1_funct_2(X638,u1_struct_0(X637),u1_struct_0(sK157))
| ~ l3_lattices(X637)
| ~ v10_lattices(X637) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_240])]) ).
fof(f42696,plain,
( ! [X638,X637,X639,X640] :
( ~ v1_funct_1(X638)
| ~ l3_lattices(X637)
| ~ v10_lattices(X637)
| ~ v1_funct_2(X638,u1_struct_0(X637),u1_struct_0(sK157))
| ~ m2_relset_1(X638,u1_struct_0(X637),u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ m1_subset_1(X640,u1_struct_0(X637))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,k3_lattices(X637,X639,X640)),k3_lattices(sK157,k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,X639),k8_funct_2(u1_struct_0(X637),u1_struct_0(sK157),X638,X640)))
| v3_struct_0(X637)
| ~ m1_subset_1(X639,u1_struct_0(X637))
| ~ m1_lattice4(X638,X637,sK157)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38687]) ).
fof(f43205,plain,
( ~ spl168_156
| spl168_239
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42395,f38968,f42816,f43203,f42820]) ).
fof(f43203,plain,
( spl168_239
<=> ! [X99] :
( ~ v10_lattices(X99)
| m3_vectsp_8(sK36(sK157,X99),X99,sK157)
| v3_struct_0(X99)
| ~ l3_lattices(X99) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_239])]) ).
fof(f42395,plain,
( ! [X99] :
( ~ l3_lattices(sK157)
| ~ v10_lattices(X99)
| ~ v10_lattices(sK157)
| ~ l3_lattices(X99)
| v3_struct_0(X99)
| m3_vectsp_8(sK36(sK157,X99),X99,sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37691]) ).
fof(f43201,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_238
| spl168_5 ),
inference(avatar_split_clause,[],[f42440,f38968,f43199,f42820,f42816]) ).
fof(f43199,plain,
( spl168_238
<=> ! [X157,X156] :
( ~ v10_lattices(X156)
| v3_struct_0(X156)
| ~ l3_lattices(X156)
| ~ m4_vectsp_8(X157,sK157,X156)
| v1_funct_2(X157,u1_struct_0(sK157),u1_struct_0(X156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_238])]) ).
fof(f42440,plain,
( ! [X156,X157] :
( ~ v10_lattices(X156)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| v1_funct_2(X157,u1_struct_0(sK157),u1_struct_0(X156))
| ~ m4_vectsp_8(X157,sK157,X156)
| ~ l3_lattices(X156)
| v3_struct_0(X156) )
| spl168_5 ),
inference(resolution,[],[f38970,f37843]) ).
fof(f43197,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_237
| spl168_5 ),
inference(avatar_split_clause,[],[f42468,f38968,f43195,f42816,f42820]) ).
fof(f43195,plain,
( spl168_237
<=> ! [X219,X220] :
( ~ v1_funct_1(X220)
| ~ l3_lattices(X219)
| v3_struct_0(X219)
| ~ m1_lattice4(X220,sK157,X219)
| m4_vectsp_8(X220,sK157,X219)
| ~ m2_relset_1(X220,u1_struct_0(sK157),u1_struct_0(X219))
| ~ v10_lattices(X219)
| ~ v1_funct_2(X220,u1_struct_0(sK157),u1_struct_0(X219)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_237])]) ).
fof(f42468,plain,
( ! [X220,X219] :
( ~ v1_funct_1(X220)
| ~ v1_funct_2(X220,u1_struct_0(sK157),u1_struct_0(X219))
| ~ v10_lattices(X219)
| ~ m2_relset_1(X220,u1_struct_0(sK157),u1_struct_0(X219))
| m4_vectsp_8(X220,sK157,X219)
| ~ m1_lattice4(X220,sK157,X219)
| v3_struct_0(X219)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X219)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37957]) ).
fof(f43193,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_236
| spl168_5 ),
inference(avatar_split_clause,[],[f42439,f38968,f43191,f42816,f42820]) ).
fof(f43191,plain,
( spl168_236
<=> ! [X155,X154] :
( v1_funct_1(X154)
| v3_struct_0(X155)
| ~ l3_lattices(X155)
| ~ m4_vectsp_8(X154,X155,sK157)
| ~ v10_lattices(X155) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_236])]) ).
fof(f42439,plain,
( ! [X155,X154] :
( v1_funct_1(X154)
| ~ v10_lattices(X155)
| ~ l3_lattices(sK157)
| ~ m4_vectsp_8(X154,X155,sK157)
| ~ l3_lattices(X155)
| v3_struct_0(X155)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37842]) ).
fof(f43189,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_235
| spl168_5 ),
inference(avatar_split_clause,[],[f42372,f38968,f43187,f42816,f42820]) ).
fof(f43187,plain,
( spl168_235
<=> ! [X61,X60,X62] :
( ~ m1_subset_1(X61,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X62,X60),k3_lattices(sK157,X61,X62))
| ~ m1_subset_1(X62,u1_struct_0(sK157))
| ~ m1_subset_1(X60,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X60,X61) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_235])]) ).
fof(f42372,plain,
( ! [X62,X60,X61] :
( ~ m1_subset_1(X61,u1_struct_0(sK157))
| ~ m1_subset_1(X60,u1_struct_0(sK157))
| ~ m1_subset_1(X62,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ r3_lattices(sK157,X60,X61)
| r3_lattices(sK157,k3_lattices(sK157,X62,X60),k3_lattices(sK157,X61,X62)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37628]) ).
fof(f43185,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_234
| spl168_5 ),
inference(avatar_split_clause,[],[f42495,f38968,f43183,f42816,f42820]) ).
fof(f43183,plain,
( spl168_234
<=> ! [X253,X254,X255] :
( ~ m1_subset_1(X255,u1_struct_0(sK157))
| ~ m1_subset_1(X254,u1_struct_0(sK157))
| r3_lattices(sK157,k4_lattices(sK157,X253,X255),X254)
| ~ r3_lattices(sK157,X253,X254)
| ~ m1_subset_1(X253,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_234])]) ).
fof(f42495,plain,
( ! [X253,X254,X255] :
( ~ m1_subset_1(X255,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ r3_lattices(sK157,X253,X254)
| ~ m1_subset_1(X253,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| r3_lattices(sK157,k4_lattices(sK157,X253,X255),X254)
| ~ m1_subset_1(X254,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38021]) ).
fof(f43181,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_233
| spl168_5 ),
inference(avatar_split_clause,[],[f42392,f38968,f43179,f42820,f42816]) ).
fof(f43179,plain,
( spl168_233
<=> ! [X93,X94] :
( ~ v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(sK157))
| m1_lattice4(X94,X93,sK157)
| ~ m2_relset_1(X94,u1_struct_0(X93),u1_struct_0(sK157))
| m1_subset_1(sK35(X93,sK157,X94),u1_struct_0(X93))
| ~ v10_lattices(X93)
| ~ l3_lattices(X93)
| v3_struct_0(X93)
| ~ v1_funct_1(X94) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_233])]) ).
fof(f42392,plain,
( ! [X94,X93] :
( ~ v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v1_funct_1(X94)
| v3_struct_0(X93)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| m1_subset_1(sK35(X93,sK157,X94),u1_struct_0(X93))
| ~ m2_relset_1(X94,u1_struct_0(X93),u1_struct_0(sK157))
| m1_lattice4(X94,X93,sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37687]) ).
fof(f43176,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_232
| spl168_5 ),
inference(avatar_split_clause,[],[f42471,f38968,f43174,f42820,f42816]) ).
fof(f43174,plain,
( spl168_232
<=> ! [X226,X225] :
( ~ m1_lattice4(X226,X225,sK157)
| ~ v1_funct_1(X226)
| ~ v10_lattices(X225)
| ~ l3_lattices(X225)
| v3_struct_0(X225)
| ~ m2_relset_1(X226,u1_struct_0(X225),u1_struct_0(sK157))
| ~ v1_funct_2(X226,u1_struct_0(X225),u1_struct_0(sK157))
| m3_vectsp_8(X226,X225,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_232])]) ).
fof(f42471,plain,
( ! [X225,X226] :
( ~ m1_lattice4(X226,X225,sK157)
| m3_vectsp_8(X226,X225,sK157)
| ~ v1_funct_2(X226,u1_struct_0(X225),u1_struct_0(sK157))
| ~ m2_relset_1(X226,u1_struct_0(X225),u1_struct_0(sK157))
| v3_struct_0(X225)
| ~ v10_lattices(sK157)
| ~ l3_lattices(X225)
| ~ l3_lattices(sK157)
| ~ v10_lattices(X225)
| ~ v1_funct_1(X226) )
| spl168_5 ),
inference(resolution,[],[f38970,f37958]) ).
fof(f43170,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_231
| spl168_5 ),
inference(avatar_split_clause,[],[f42711,f38968,f43168,f42820,f42816]) ).
fof(f43168,plain,
( spl168_231
<=> ! [X666,X665,X667,X668] :
( ~ m1_subset_1(X667,u1_struct_0(sK157))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,k3_lattices(sK157,X667,X668)),k3_lattices(X665,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,X667),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,X668)))
| ~ m1_subset_1(X668,u1_struct_0(sK157))
| ~ v1_funct_1(X666)
| ~ v1_funct_2(X666,u1_struct_0(sK157),u1_struct_0(X665))
| ~ v10_lattices(X665)
| v3_struct_0(X665)
| ~ m4_vectsp_8(X666,sK157,X665)
| ~ m2_relset_1(X666,u1_struct_0(sK157),u1_struct_0(X665))
| ~ l3_lattices(X665) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_231])]) ).
fof(f42711,plain,
( ! [X665,X667,X668,X666] :
( ~ m1_subset_1(X667,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v10_lattices(X665)
| ~ v1_funct_1(X666)
| ~ l3_lattices(X665)
| ~ m1_subset_1(X668,u1_struct_0(sK157))
| ~ v1_funct_2(X666,u1_struct_0(sK157),u1_struct_0(X665))
| ~ m2_relset_1(X666,u1_struct_0(sK157),u1_struct_0(X665))
| ~ m4_vectsp_8(X666,sK157,X665)
| ~ l3_lattices(sK157)
| v3_struct_0(X665)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,k3_lattices(sK157,X667,X668)),k3_lattices(X665,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,X667),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X665),X666,X668))) )
| spl168_5 ),
inference(resolution,[],[f38970,f38742]) ).
fof(f43166,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_230
| spl168_5 ),
inference(avatar_split_clause,[],[f42709,f38968,f43164,f42820,f42816]) ).
fof(f43164,plain,
( spl168_230
<=> ! [X662,X661] :
( m4_vectsp_8(X662,sK157,X661)
| ~ v10_lattices(X661)
| ~ m2_relset_1(X662,u1_struct_0(sK157),u1_struct_0(X661))
| ~ l3_lattices(X661)
| ~ v1_funct_2(X662,u1_struct_0(sK157),u1_struct_0(X661))
| v3_struct_0(X661)
| ~ sQ167_eqProxy(k3_lattices(X661,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,sK65(sK157,X661,X662)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,sK66(sK157,X661,X662))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,k3_lattices(sK157,sK65(sK157,X661,X662),sK66(sK157,X661,X662))))
| ~ v1_funct_1(X662) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_230])]) ).
fof(f42709,plain,
( ! [X662,X661] :
( m4_vectsp_8(X662,sK157,X661)
| ~ v10_lattices(sK157)
| ~ v1_funct_1(X662)
| ~ sQ167_eqProxy(k3_lattices(X661,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,sK65(sK157,X661,X662)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,sK66(sK157,X661,X662))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X661),X662,k3_lattices(sK157,sK65(sK157,X661,X662),sK66(sK157,X661,X662))))
| v3_struct_0(X661)
| ~ v1_funct_2(X662,u1_struct_0(sK157),u1_struct_0(X661))
| ~ l3_lattices(sK157)
| ~ l3_lattices(X661)
| ~ m2_relset_1(X662,u1_struct_0(sK157),u1_struct_0(X661))
| ~ v10_lattices(X661) )
| spl168_5 ),
inference(resolution,[],[f38970,f38741]) ).
fof(f43162,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_197
| spl168_229
| spl168_5 ),
inference(avatar_split_clause,[],[f42530,f38968,f43159,f43009,f42816,f42820]) ).
fof(f43009,plain,
( spl168_197
<=> ! [X313] : sP119(X313,sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_197])]) ).
fof(f43159,plain,
( spl168_229
<=> m1_subset_1(sK117(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_229])]) ).
fof(f42530,plain,
( ! [X314] :
( m1_subset_1(sK117(sK157),u1_struct_0(sK157))
| sP119(X314,sK157)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38107]) ).
fof(f43157,plain,
( spl168_228
| ~ spl168_156
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42609,f38968,f42816,f42820,f43155]) ).
fof(f43155,plain,
( spl168_228
<=> ! [X475,X474,X473] :
( r3_lattices(sK157,X474,k3_lattices(sK157,X475,X473))
| ~ m1_subset_1(X475,u1_struct_0(sK157))
| ~ m1_subset_1(X474,u1_struct_0(sK157))
| ~ m1_subset_1(X473,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X474,X473) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_228])]) ).
fof(f42609,plain,
( ! [X475,X474,X473] :
( ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| r3_lattices(sK157,X474,k3_lattices(sK157,X475,X473))
| ~ r3_lattices(sK157,X474,X473)
| ~ m1_subset_1(X473,u1_struct_0(sK157))
| ~ m1_subset_1(X474,u1_struct_0(sK157))
| ~ m1_subset_1(X475,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38371]) ).
fof(f43151,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_227
| spl168_5 ),
inference(avatar_split_clause,[],[f42608,f38968,f43149,f42820,f42816]) ).
fof(f43149,plain,
( spl168_227
<=> ! [X472,X471,X470] :
( ~ r3_lattices(sK157,X470,X471)
| ~ m1_subset_1(X471,u1_struct_0(sK157))
| r3_lattices(sK157,X470,k3_lattices(sK157,X471,X472))
| ~ m1_subset_1(X470,u1_struct_0(sK157))
| ~ m1_subset_1(X472,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_227])]) ).
fof(f42608,plain,
( ! [X471,X470,X472] :
( ~ r3_lattices(sK157,X470,X471)
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X472,u1_struct_0(sK157))
| ~ m1_subset_1(X470,u1_struct_0(sK157))
| r3_lattices(sK157,X470,k3_lattices(sK157,X471,X472))
| ~ m1_subset_1(X471,u1_struct_0(sK157))
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38370]) ).
fof(f43147,plain,
( spl168_226
| ~ spl168_155
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42522,f38968,f42820,f42816,f43145]) ).
fof(f43145,plain,
( spl168_226
<=> ! [X305,X304] :
( v1_funct_2(X304,u1_struct_0(X305),u1_struct_0(sK157))
| v3_struct_0(X305)
| ~ l3_lattices(X305)
| ~ v10_lattices(X305)
| ~ m1_lattice4(X304,X305,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_226])]) ).
fof(f42522,plain,
( ! [X305,X304] :
( ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| v1_funct_2(X304,u1_struct_0(X305),u1_struct_0(sK157))
| ~ m1_lattice4(X304,X305,sK157)
| ~ v10_lattices(X305)
| ~ l3_lattices(X305)
| v3_struct_0(X305) )
| spl168_5 ),
inference(resolution,[],[f38970,f38075]) ).
fof(f43141,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_225
| spl168_5 ),
inference(avatar_split_clause,[],[f42553,f38968,f43139,f42820,f42816]) ).
fof(f43139,plain,
( spl168_225
<=> ! [X382] :
( ~ l3_lattices(X382)
| ~ v10_lattices(X382)
| m1_lattice4(sK131(X382,sK157),X382,sK157)
| v3_struct_0(X382) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_225])]) ).
fof(f42553,plain,
( ! [X382] :
( ~ l3_lattices(X382)
| v3_struct_0(X382)
| m1_lattice4(sK131(X382,sK157),X382,sK157)
| ~ v10_lattices(X382)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38169]) ).
fof(f43137,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_224
| spl168_5 ),
inference(avatar_split_clause,[],[f42345,f38968,f43135,f42820,f42816]) ).
fof(f43135,plain,
( spl168_224
<=> ! [X3] :
( ~ v10_lattices(X3)
| m4_vectsp_8(sK2(sK157,X3),sK157,X3)
| v3_struct_0(X3)
| ~ l3_lattices(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_224])]) ).
fof(f42345,plain,
( ! [X3] :
( ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v3_struct_0(X3)
| m4_vectsp_8(sK2(sK157,X3),sK157,X3)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37459]) ).
fof(f43133,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_223
| spl168_5 ),
inference(avatar_split_clause,[],[f42451,f38968,f43131,f42816,f42820]) ).
fof(f43131,plain,
( spl168_223
<=> ! [X178,X177] :
( ~ v1_funct_2(X178,u1_struct_0(X177),u1_struct_0(sK157))
| m1_subset_1(sK76(X177,sK157,X178),u1_struct_0(X177))
| ~ m2_relset_1(X178,u1_struct_0(X177),u1_struct_0(sK157))
| m3_vectsp_8(X178,X177,sK157)
| ~ v1_funct_1(X178)
| ~ v10_lattices(X177)
| ~ l3_lattices(X177)
| v3_struct_0(X177) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_223])]) ).
fof(f42451,plain,
( ! [X178,X177] :
( ~ v1_funct_2(X178,u1_struct_0(X177),u1_struct_0(sK157))
| v3_struct_0(X177)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X177)
| ~ v10_lattices(X177)
| ~ v1_funct_1(X178)
| m3_vectsp_8(X178,X177,sK157)
| ~ v10_lattices(sK157)
| ~ m2_relset_1(X178,u1_struct_0(X177),u1_struct_0(sK157))
| m1_subset_1(sK76(X177,sK157,X178),u1_struct_0(X177)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37909]) ).
fof(f43129,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_222
| spl168_5 ),
inference(avatar_split_clause,[],[f42427,f38968,f43127,f42820,f42816]) ).
fof(f43127,plain,
( spl168_222
<=> ! [X130,X132,X133,X131] :
( ~ v10_lattices(X130)
| ~ l3_lattices(X130)
| ~ r3_lattices(sK157,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(sK157))
| r3_lattices(X130,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X130),X133,X131),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X130),X133,X132))
| v3_struct_0(X130)
| ~ m1_subset_1(X131,u1_struct_0(sK157))
| ~ m1_lattice4(X133,sK157,X130) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_222])]) ).
fof(f42427,plain,
( ! [X132,X133,X130,X131] :
( ~ v10_lattices(X130)
| ~ m1_lattice4(X133,sK157,X130)
| ~ m1_subset_1(X131,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| v3_struct_0(X130)
| r3_lattices(X130,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X130),X133,X131),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X130),X133,X132))
| ~ m1_subset_1(X132,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X131,X132)
| ~ l3_lattices(X130) )
| spl168_5 ),
inference(resolution,[],[f38970,f37796]) ).
fof(f43124,plain,
( ~ spl168_155
| spl168_221
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42453,f38968,f42820,f43122,f42816]) ).
fof(f43122,plain,
( spl168_221
<=> ! [X182,X181] :
( ~ m2_relset_1(X182,u1_struct_0(X181),u1_struct_0(sK157))
| m1_subset_1(sK75(X181,sK157,X182),u1_struct_0(X181))
| v3_struct_0(X181)
| ~ l3_lattices(X181)
| ~ v1_funct_2(X182,u1_struct_0(X181),u1_struct_0(sK157))
| m3_vectsp_8(X182,X181,sK157)
| ~ v10_lattices(X181)
| ~ v1_funct_1(X182) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_221])]) ).
fof(f42453,plain,
( ! [X181,X182] :
( ~ v10_lattices(sK157)
| ~ m2_relset_1(X182,u1_struct_0(X181),u1_struct_0(sK157))
| ~ v1_funct_1(X182)
| ~ v10_lattices(X181)
| m3_vectsp_8(X182,X181,sK157)
| ~ v1_funct_2(X182,u1_struct_0(X181),u1_struct_0(sK157))
| ~ l3_lattices(X181)
| ~ l3_lattices(sK157)
| v3_struct_0(X181)
| m1_subset_1(sK75(X181,sK157,X182),u1_struct_0(X181)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37912]) ).
fof(f43120,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_220
| spl168_5 ),
inference(avatar_split_clause,[],[f42438,f38968,f43118,f42820,f42816]) ).
fof(f43118,plain,
( spl168_220
<=> ! [X153,X152] :
( v3_struct_0(X152)
| ~ l3_lattices(X152)
| v1_funct_1(X153)
| ~ m4_vectsp_8(X153,sK157,X152)
| ~ v10_lattices(X152) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_220])]) ).
fof(f42438,plain,
( ! [X152,X153] :
( v3_struct_0(X152)
| ~ v10_lattices(sK157)
| ~ v10_lattices(X152)
| ~ l3_lattices(sK157)
| ~ m4_vectsp_8(X153,sK157,X152)
| v1_funct_1(X153)
| ~ l3_lattices(X152) )
| spl168_5 ),
inference(resolution,[],[f38970,f37842]) ).
fof(f43116,plain,
( spl168_219
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f43111,f39008,f39003,f38968,f43113]) ).
fof(f43113,plain,
( spl168_219
<=> m1_subset_1(sK144(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_219])]) ).
fof(f43111,plain,
( m1_subset_1(sK144(sK157),u1_struct_0(sK157))
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f43110,f39010]) ).
fof(f43110,plain,
( ~ l1_group_1(sK157)
| m1_subset_1(sK144(sK157),u1_struct_0(sK157))
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f42578,f39005]) ).
fof(f42578,plain,
( ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| m1_subset_1(sK144(sK157),u1_struct_0(sK157))
| spl168_5 ),
inference(resolution,[],[f38970,f38261]) ).
fof(f38261,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(sK144(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37434]) ).
fof(f37434,plain,
! [X0] :
( ~ l1_group_1(X0)
| ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1
& m1_subset_1(X3,u1_struct_0(X0)) )
& k1_group_1(X0,X2,X1) = X2 ) ) ) )
| v3_struct_0(X0) ),
inference(flattening,[],[f37433]) ).
fof(f37433,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1
& m1_subset_1(X3,u1_struct_0(X0)) )
& k1_group_1(X0,X2,X1) = X2 ) ) ) )
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18878]) ).
fof(f18878,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1
& m1_subset_1(X3,u1_struct_0(X0)) )
& k1_group_1(X0,X2,X1) = X2 ) ) )
<=> v3_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_group_1) ).
fof(f43108,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_218
| spl168_5 ),
inference(avatar_split_clause,[],[f42456,f38968,f43106,f42816,f42820]) ).
fof(f43106,plain,
( spl168_218
<=> ! [X192,X193,X191] :
( ~ r3_lattices(sK157,X193,X192)
| ~ r3_lattices(sK157,X191,X192)
| ~ m1_subset_1(X192,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X191,X193),X192)
| ~ m1_subset_1(X193,u1_struct_0(sK157))
| ~ m1_subset_1(X191,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_218])]) ).
fof(f42456,plain,
( ! [X191,X192,X193] :
( ~ r3_lattices(sK157,X193,X192)
| ~ l3_lattices(sK157)
| ~ m1_subset_1(X191,u1_struct_0(sK157))
| ~ m1_subset_1(X193,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X191,X193),X192)
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X192,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X191,X192) )
| spl168_5 ),
inference(resolution,[],[f38970,f37929]) ).
fof(f43104,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_217
| spl168_5 ),
inference(avatar_split_clause,[],[f42691,f38968,f43102,f42816,f42820]) ).
fof(f43102,plain,
( spl168_217
<=> ! [X621,X622] :
( ~ v10_lattices(X621)
| v3_struct_0(X621)
| ~ l3_lattices(X621)
| ~ sQ167_eqProxy(k3_lattices(X621,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK34(sK157,X621,X622)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK35(sK157,X621,X622))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,k3_lattices(sK157,sK34(sK157,X621,X622),sK35(sK157,X621,X622))))
| m1_lattice4(X622,sK157,X621)
| ~ sQ167_eqProxy(k4_lattices(X621,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK34(sK157,X621,X622)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK35(sK157,X621,X622))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,k4_lattices(sK157,sK34(sK157,X621,X622),sK35(sK157,X621,X622))))
| ~ m2_relset_1(X622,u1_struct_0(sK157),u1_struct_0(X621))
| ~ v1_funct_1(X622)
| ~ v1_funct_2(X622,u1_struct_0(sK157),u1_struct_0(X621)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_217])]) ).
fof(f42691,plain,
( ! [X621,X622] :
( ~ v10_lattices(X621)
| ~ v1_funct_1(X622)
| ~ l3_lattices(sK157)
| ~ v1_funct_2(X622,u1_struct_0(sK157),u1_struct_0(X621))
| ~ m2_relset_1(X622,u1_struct_0(sK157),u1_struct_0(X621))
| ~ v10_lattices(sK157)
| ~ sQ167_eqProxy(k4_lattices(X621,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK34(sK157,X621,X622)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK35(sK157,X621,X622))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,k4_lattices(sK157,sK34(sK157,X621,X622),sK35(sK157,X621,X622))))
| m1_lattice4(X622,sK157,X621)
| ~ sQ167_eqProxy(k3_lattices(X621,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK34(sK157,X621,X622)),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,sK35(sK157,X621,X622))),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X621),X622,k3_lattices(sK157,sK34(sK157,X621,X622),sK35(sK157,X621,X622))))
| ~ l3_lattices(X621)
| v3_struct_0(X621) )
| spl168_5 ),
inference(resolution,[],[f38970,f38685]) ).
fof(f43100,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_216
| spl168_5 ),
inference(avatar_split_clause,[],[f42361,f38968,f43098,f42820,f42816]) ).
fof(f43098,plain,
( spl168_216
<=> ! [X38,X39] :
( v3_struct_0(X39)
| ~ l3_lattices(X39)
| m2_relset_1(X38,u1_struct_0(sK157),u1_struct_0(X39))
| ~ m3_vectsp_8(X38,sK157,X39)
| ~ v10_lattices(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_216])]) ).
fof(f42361,plain,
( ! [X38,X39] :
( v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ m3_vectsp_8(X38,sK157,X39)
| ~ v10_lattices(sK157)
| m2_relset_1(X38,u1_struct_0(sK157),u1_struct_0(X39))
| ~ l3_lattices(sK157)
| ~ l3_lattices(X39) )
| spl168_5 ),
inference(resolution,[],[f38970,f37485]) ).
fof(f43096,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_215
| spl168_5 ),
inference(avatar_split_clause,[],[f42508,f38968,f43094,f42820,f42816]) ).
fof(f43094,plain,
( spl168_215
<=> ! [X285,X284,X286,X287] :
( ~ r3_lattices(sK157,X284,X286)
| ~ m1_subset_1(X286,u1_struct_0(sK157))
| ~ m1_subset_1(X287,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X285,X287)
| ~ m1_subset_1(X284,u1_struct_0(sK157))
| r3_lattices(sK157,k4_lattices(sK157,X284,X285),k4_lattices(sK157,X286,X287))
| ~ m1_subset_1(X285,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_215])]) ).
fof(f42508,plain,
( ! [X287,X286,X285,X284] :
( ~ r3_lattices(sK157,X284,X286)
| ~ m1_subset_1(X285,u1_struct_0(sK157))
| r3_lattices(sK157,k4_lattices(sK157,X284,X285),k4_lattices(sK157,X286,X287))
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X284,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X285,X287)
| ~ m1_subset_1(X287,u1_struct_0(sK157))
| ~ m1_subset_1(X286,u1_struct_0(sK157))
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38047]) ).
fof(f43092,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_214
| spl168_5 ),
inference(avatar_split_clause,[],[f42393,f38968,f43090,f42816,f42820]) ).
fof(f43090,plain,
( spl168_214
<=> ! [X96,X95] :
( ~ v10_lattices(X96)
| m1_subset_1(sK34(sK157,X96,X95),u1_struct_0(sK157))
| ~ m2_relset_1(X95,u1_struct_0(sK157),u1_struct_0(X96))
| v3_struct_0(X96)
| ~ l3_lattices(X96)
| ~ v1_funct_1(X95)
| m1_lattice4(X95,sK157,X96)
| ~ v1_funct_2(X95,u1_struct_0(sK157),u1_struct_0(X96)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_214])]) ).
fof(f42393,plain,
( ! [X96,X95] :
( ~ v10_lattices(X96)
| ~ l3_lattices(sK157)
| ~ v1_funct_2(X95,u1_struct_0(sK157),u1_struct_0(X96))
| m1_lattice4(X95,sK157,X96)
| ~ v1_funct_1(X95)
| ~ v10_lattices(sK157)
| ~ l3_lattices(X96)
| v3_struct_0(X96)
| ~ m2_relset_1(X95,u1_struct_0(sK157),u1_struct_0(X96))
| m1_subset_1(sK34(sK157,X96,X95),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37688]) ).
fof(f43086,plain,
( spl168_213
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(avatar_split_clause,[],[f43081,f39405,f39008,f38968,f43083]) ).
fof(f43083,plain,
( spl168_213
<=> m1_subset_1(sK105(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_213])]) ).
fof(f43081,plain,
( m1_subset_1(sK105(sK157),u1_struct_0(sK157))
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(subsumption_resolution,[],[f43080,f39010]) ).
fof(f43080,plain,
( ~ l1_group_1(sK157)
| m1_subset_1(sK105(sK157),u1_struct_0(sK157))
| spl168_5
| spl168_16 ),
inference(subsumption_resolution,[],[f42511,f39407]) ).
fof(f42511,plain,
( m1_subset_1(sK105(sK157),u1_struct_0(sK157))
| v7_group_1(sK157)
| ~ l1_group_1(sK157)
| spl168_5 ),
inference(resolution,[],[f38970,f38055]) ).
fof(f43079,plain,
( ~ spl168_156
| spl168_212
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42461,f38968,f42816,f43077,f42820]) ).
fof(f43077,plain,
( spl168_212
<=> ! [X201,X200,X202] :
( r3_lattices(sK157,k4_lattices(sK157,X200,X201),k3_lattices(sK157,X200,X202))
| ~ m1_subset_1(X201,u1_struct_0(sK157))
| ~ m1_subset_1(X202,u1_struct_0(sK157))
| ~ m1_subset_1(X200,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_212])]) ).
fof(f42461,plain,
( ! [X202,X200,X201] :
( ~ l3_lattices(sK157)
| r3_lattices(sK157,k4_lattices(sK157,X200,X201),k3_lattices(sK157,X200,X202))
| ~ m1_subset_1(X200,u1_struct_0(sK157))
| ~ m1_subset_1(X202,u1_struct_0(sK157))
| ~ m1_subset_1(X201,u1_struct_0(sK157))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37942]) ).
fof(f43075,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_211
| spl168_5 ),
inference(avatar_split_clause,[],[f42428,f38968,f43073,f42820,f42816]) ).
fof(f43073,plain,
( spl168_211
<=> ! [X136,X137,X135,X134] :
( ~ l3_lattices(X134)
| ~ r3_lattices(X134,X135,X136)
| ~ v10_lattices(X134)
| r3_lattices(sK157,k8_funct_2(u1_struct_0(X134),u1_struct_0(sK157),X137,X135),k8_funct_2(u1_struct_0(X134),u1_struct_0(sK157),X137,X136))
| ~ m1_lattice4(X137,X134,sK157)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ m1_subset_1(X136,u1_struct_0(X134)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_211])]) ).
fof(f42428,plain,
( ! [X136,X134,X137,X135] :
( ~ l3_lattices(X134)
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X136,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| ~ l3_lattices(sK157)
| ~ m1_lattice4(X137,X134,sK157)
| r3_lattices(sK157,k8_funct_2(u1_struct_0(X134),u1_struct_0(sK157),X137,X135),k8_funct_2(u1_struct_0(X134),u1_struct_0(sK157),X137,X136))
| ~ v10_lattices(X134)
| ~ r3_lattices(X134,X135,X136) )
| spl168_5 ),
inference(resolution,[],[f38970,f37796]) ).
fof(f43071,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_210
| spl168_5 ),
inference(avatar_split_clause,[],[f42470,f38968,f43069,f42816,f42820]) ).
fof(f43069,plain,
( spl168_210
<=> ! [X224,X223] :
( v3_struct_0(X223)
| m3_vectsp_8(X224,sK157,X223)
| ~ m1_lattice4(X224,sK157,X223)
| ~ v10_lattices(X223)
| ~ v1_funct_1(X224)
| ~ l3_lattices(X223)
| ~ v1_funct_2(X224,u1_struct_0(sK157),u1_struct_0(X223))
| ~ m2_relset_1(X224,u1_struct_0(sK157),u1_struct_0(X223)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_210])]) ).
fof(f42470,plain,
( ! [X224,X223] :
( v3_struct_0(X223)
| ~ m2_relset_1(X224,u1_struct_0(sK157),u1_struct_0(X223))
| ~ v1_funct_2(X224,u1_struct_0(sK157),u1_struct_0(X223))
| ~ l3_lattices(X223)
| ~ v1_funct_1(X224)
| ~ v10_lattices(X223)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ m1_lattice4(X224,sK157,X223)
| m3_vectsp_8(X224,sK157,X223) )
| spl168_5 ),
inference(resolution,[],[f38970,f37958]) ).
fof(f43067,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_209
| spl168_5 ),
inference(avatar_split_clause,[],[f42370,f38968,f43065,f42820,f42816]) ).
fof(f43065,plain,
( spl168_209
<=> ! [X54,X55,X56] :
( ~ m1_subset_1(X55,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X55,X54)
| r3_lattices(sK157,k3_lattices(sK157,X55,X56),k3_lattices(sK157,X54,X56))
| ~ m1_subset_1(X54,u1_struct_0(sK157))
| ~ m1_subset_1(X56,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_209])]) ).
fof(f42370,plain,
( ! [X56,X54,X55] :
( ~ m1_subset_1(X55,u1_struct_0(sK157))
| ~ m1_subset_1(X56,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| ~ m1_subset_1(X54,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X55,X56),k3_lattices(sK157,X54,X56))
| ~ r3_lattices(sK157,X55,X54) )
| spl168_5 ),
inference(resolution,[],[f38970,f37626]) ).
fof(f43063,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_208
| spl168_5 ),
inference(avatar_split_clause,[],[f42524,f38968,f43061,f42816,f42820]) ).
fof(f43061,plain,
( spl168_208
<=> ! [X308,X309] :
( ~ l3_lattices(X308)
| v3_struct_0(X308)
| v1_funct_1(X309)
| ~ m1_lattice4(X309,X308,sK157)
| ~ v10_lattices(X308) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_208])]) ).
fof(f42524,plain,
( ! [X309,X308] :
( ~ l3_lattices(X308)
| ~ l3_lattices(sK157)
| ~ v10_lattices(X308)
| ~ v10_lattices(sK157)
| v1_funct_1(X309)
| ~ m1_lattice4(X309,X308,sK157)
| v3_struct_0(X308) )
| spl168_5 ),
inference(resolution,[],[f38970,f38076]) ).
fof(f43059,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_207
| spl168_5 ),
inference(avatar_split_clause,[],[f42521,f38968,f43057,f42820,f42816]) ).
fof(f43057,plain,
( spl168_207
<=> ! [X302,X303] :
( v1_funct_2(X302,u1_struct_0(sK157),u1_struct_0(X303))
| ~ m1_lattice4(X302,sK157,X303)
| ~ l3_lattices(X303)
| v3_struct_0(X303)
| ~ v10_lattices(X303) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_207])]) ).
fof(f42521,plain,
( ! [X303,X302] :
( v1_funct_2(X302,u1_struct_0(sK157),u1_struct_0(X303))
| ~ v10_lattices(X303)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| v3_struct_0(X303)
| ~ l3_lattices(X303)
| ~ m1_lattice4(X302,sK157,X303) )
| spl168_5 ),
inference(resolution,[],[f38970,f38075]) ).
fof(f43053,plain,
( ~ spl168_156
| spl168_206
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42371,f38968,f42816,f43051,f42820]) ).
fof(f43051,plain,
( spl168_206
<=> ! [X57,X59,X58] :
( ~ m1_subset_1(X58,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X59,X57),k3_lattices(sK157,X59,X58))
| ~ m1_subset_1(X59,u1_struct_0(sK157))
| ~ m1_subset_1(X57,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X57,X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_206])]) ).
fof(f42371,plain,
( ! [X58,X59,X57] :
( ~ l3_lattices(sK157)
| ~ m1_subset_1(X58,u1_struct_0(sK157))
| ~ m1_subset_1(X57,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X59,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X57,X58)
| r3_lattices(sK157,k3_lattices(sK157,X59,X57),k3_lattices(sK157,X59,X58)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37627]) ).
fof(f43049,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_205
| spl168_5 ),
inference(avatar_split_clause,[],[f42692,f38968,f43047,f42816,f42820]) ).
fof(f43047,plain,
( spl168_205
<=> ! [X623,X624] :
( v3_struct_0(X623)
| ~ v1_funct_2(X624,u1_struct_0(X623),u1_struct_0(sK157))
| ~ m2_relset_1(X624,u1_struct_0(X623),u1_struct_0(sK157))
| ~ v10_lattices(X623)
| ~ sQ167_eqProxy(k4_lattices(sK157,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK34(X623,sK157,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK35(X623,sK157,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,k4_lattices(X623,sK34(X623,sK157,X624),sK35(X623,sK157,X624))))
| ~ sQ167_eqProxy(k3_lattices(sK157,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK34(X623,sK157,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK35(X623,sK157,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,k3_lattices(X623,sK34(X623,sK157,X624),sK35(X623,sK157,X624))))
| ~ l3_lattices(X623)
| ~ v1_funct_1(X624)
| m1_lattice4(X624,X623,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_205])]) ).
fof(f42692,plain,
( ! [X624,X623] :
( v3_struct_0(X623)
| m1_lattice4(X624,X623,sK157)
| ~ v1_funct_1(X624)
| ~ l3_lattices(X623)
| ~ sQ167_eqProxy(k3_lattices(sK157,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK34(X623,sK157,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK35(X623,sK157,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,k3_lattices(X623,sK34(X623,sK157,X624),sK35(X623,sK157,X624))))
| ~ sQ167_eqProxy(k4_lattices(sK157,k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK34(X623,sK157,X624)),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,sK35(X623,sK157,X624))),k8_funct_2(u1_struct_0(X623),u1_struct_0(sK157),X624,k4_lattices(X623,sK34(X623,sK157,X624),sK35(X623,sK157,X624))))
| ~ l3_lattices(sK157)
| ~ v10_lattices(X623)
| ~ m2_relset_1(X624,u1_struct_0(X623),u1_struct_0(sK157))
| ~ v1_funct_2(X624,u1_struct_0(X623),u1_struct_0(sK157))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38685]) ).
fof(f43043,plain,
( spl168_204
| ~ spl168_156
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42437,f38968,f42816,f42820,f43041]) ).
fof(f43041,plain,
( spl168_204
<=> ! [X150,X151] :
( ~ v10_lattices(X150)
| ~ m4_vectsp_8(X151,X150,sK157)
| v3_struct_0(X150)
| ~ l3_lattices(X150)
| m2_relset_1(X151,u1_struct_0(X150),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_204])]) ).
fof(f42437,plain,
( ! [X150,X151] :
( ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ v10_lattices(X150)
| m2_relset_1(X151,u1_struct_0(X150),u1_struct_0(sK157))
| ~ l3_lattices(X150)
| v3_struct_0(X150)
| ~ m4_vectsp_8(X151,X150,sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37841]) ).
fof(f43039,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_203
| spl168_197
| spl168_5 ),
inference(avatar_split_clause,[],[f42528,f38968,f43009,f43036,f42816,f42820]) ).
fof(f43036,plain,
( spl168_203
<=> m1_subset_1(sK122(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_203])]) ).
fof(f42528,plain,
( ! [X312] :
( sP119(X312,sK157)
| m1_subset_1(sK122(sK157),u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38102]) ).
fof(f43034,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_202
| spl168_5 ),
inference(avatar_split_clause,[],[f42356,f38968,f43032,f42820,f42816]) ).
fof(f43032,plain,
( spl168_202
<=> ! [X29,X28] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| v1_funct_1(X28)
| ~ m3_vectsp_8(X28,X29,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_202])]) ).
fof(f42356,plain,
( ! [X28,X29] :
( v3_struct_0(X29)
| v1_funct_1(X28)
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| ~ v10_lattices(sK157)
| ~ m3_vectsp_8(X28,X29,sK157)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37483]) ).
fof(f43030,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_201
| spl168_5 ),
inference(avatar_split_clause,[],[f42346,f38968,f43028,f42816,f42820]) ).
fof(f43028,plain,
( spl168_201
<=> ! [X4] :
( m4_vectsp_8(sK2(X4,sK157),X4,sK157)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_201])]) ).
fof(f42346,plain,
( ! [X4] :
( m4_vectsp_8(sK2(X4,sK157),X4,sK157)
| ~ l3_lattices(sK157)
| v3_struct_0(X4)
| ~ l3_lattices(X4)
| ~ v10_lattices(sK157)
| ~ v10_lattices(X4) )
| spl168_5 ),
inference(resolution,[],[f38970,f37459]) ).
fof(f43024,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_200
| spl168_5 ),
inference(avatar_split_clause,[],[f42433,f38968,f43022,f42820,f42816]) ).
fof(f43022,plain,
( spl168_200
<=> ! [X141,X140,X142] :
( ~ r3_lattices(sK157,k3_lattices(sK157,X141,X140),X142)
| ~ m1_subset_1(X141,u1_struct_0(sK157))
| ~ m1_subset_1(X140,u1_struct_0(sK157))
| r3_lattices(sK157,X140,X142)
| ~ m1_subset_1(X142,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_200])]) ).
fof(f42433,plain,
( ! [X142,X140,X141] :
( ~ r3_lattices(sK157,k3_lattices(sK157,X141,X140),X142)
| ~ m1_subset_1(X142,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| r3_lattices(sK157,X140,X142)
| ~ m1_subset_1(X140,u1_struct_0(sK157))
| ~ m1_subset_1(X141,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37838]) ).
fof(f43020,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_199
| spl168_5 ),
inference(avatar_split_clause,[],[f42469,f38968,f43018,f42816,f42820]) ).
fof(f43018,plain,
( spl168_199
<=> ! [X221,X222] :
( ~ v1_funct_1(X221)
| ~ m2_relset_1(X221,u1_struct_0(X222),u1_struct_0(sK157))
| ~ v10_lattices(X222)
| ~ m1_lattice4(X221,X222,sK157)
| v3_struct_0(X222)
| ~ v1_funct_2(X221,u1_struct_0(X222),u1_struct_0(sK157))
| m4_vectsp_8(X221,X222,sK157)
| ~ l3_lattices(X222) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_199])]) ).
fof(f42469,plain,
( ! [X222,X221] :
( ~ v1_funct_1(X221)
| ~ l3_lattices(X222)
| m4_vectsp_8(X221,X222,sK157)
| ~ v1_funct_2(X221,u1_struct_0(X222),u1_struct_0(sK157))
| v3_struct_0(X222)
| ~ m1_lattice4(X221,X222,sK157)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ v10_lattices(X222)
| ~ m2_relset_1(X221,u1_struct_0(X222),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37957]) ).
fof(f43016,plain,
( spl168_197
| ~ spl168_156
| ~ spl168_155
| ~ spl168_198
| spl168_5 ),
inference(avatar_split_clause,[],[f42759,f38968,f43013,f42816,f42820,f43009]) ).
fof(f43013,plain,
( spl168_198
<=> sQ167_eqProxy(k3_lattices(sK157,sK117(sK157),k4_lattices(sK157,sK120(sK157),sK122(sK157))),k4_lattices(sK157,k3_lattices(sK157,sK117(sK157),sK120(sK157)),k3_lattices(sK157,sK117(sK157),sK122(sK157)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_198])]) ).
fof(f42759,plain,
( ! [X764] :
( ~ sQ167_eqProxy(k3_lattices(sK157,sK117(sK157),k4_lattices(sK157,sK120(sK157),sK122(sK157))),k4_lattices(sK157,k3_lattices(sK157,sK117(sK157),sK120(sK157)),k3_lattices(sK157,sK117(sK157),sK122(sK157))))
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| sP119(X764,sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38838]) ).
fof(f43011,plain,
( spl168_196
| spl168_197
| ~ spl168_156
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42529,f38968,f42816,f42820,f43009,f43005]) ).
fof(f43005,plain,
( spl168_196
<=> m1_subset_1(sK120(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_196])]) ).
fof(f42529,plain,
( ! [X313] :
( ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| sP119(X313,sK157)
| m1_subset_1(sK120(sK157),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38105]) ).
fof(f43003,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_195
| spl168_5 ),
inference(avatar_split_clause,[],[f42473,f38968,f43001,f42816,f42820]) ).
fof(f43001,plain,
( spl168_195
<=> ! [X230,X229] :
( ~ m4_vectsp_8(X229,X230,sK157)
| ~ m3_vectsp_8(X229,X230,sK157)
| ~ v10_lattices(X230)
| ~ l3_lattices(X230)
| ~ v1_funct_2(X229,u1_struct_0(X230),u1_struct_0(sK157))
| m1_lattice4(X229,X230,sK157)
| v3_struct_0(X230)
| ~ v1_funct_1(X229)
| ~ m2_relset_1(X229,u1_struct_0(X230),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_195])]) ).
fof(f42473,plain,
( ! [X230,X229] :
( ~ m4_vectsp_8(X229,X230,sK157)
| ~ l3_lattices(sK157)
| ~ m2_relset_1(X229,u1_struct_0(X230),u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v1_funct_1(X229)
| v3_struct_0(X230)
| m1_lattice4(X229,X230,sK157)
| ~ v1_funct_2(X229,u1_struct_0(X230),u1_struct_0(sK157))
| ~ l3_lattices(X230)
| ~ v10_lattices(X230)
| ~ m3_vectsp_8(X229,X230,sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37959]) ).
fof(f42999,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_194
| spl168_5 ),
inference(avatar_split_clause,[],[f42454,f38968,f42997,f42820,f42816]) ).
fof(f42997,plain,
( spl168_194
<=> ! [X183,X185,X184,X186] :
( ~ m1_subset_1(X183,u1_struct_0(sK157))
| ~ m1_subset_1(X185,u1_struct_0(sK157))
| ~ m1_subset_1(X186,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X186,X185)
| ~ r3_lattices(sK157,X183,X184)
| ~ m1_subset_1(X184,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X183,X186),k3_lattices(sK157,X185,X184)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_194])]) ).
fof(f42454,plain,
( ! [X186,X184,X185,X183] :
( ~ m1_subset_1(X183,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X183,X186),k3_lattices(sK157,X185,X184))
| ~ m1_subset_1(X184,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X183,X184)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| ~ r3_lattices(sK157,X186,X185)
| ~ m1_subset_1(X186,u1_struct_0(sK157))
| ~ m1_subset_1(X185,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37922]) ).
fof(f42995,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_193
| spl168_5 ),
inference(avatar_split_clause,[],[f42509,f38968,f42993,f42816,f42820]) ).
fof(f42993,plain,
( spl168_193
<=> ! [X289,X288,X291,X290] :
( ~ m1_subset_1(X288,u1_struct_0(sK157))
| ~ m1_subset_1(X290,u1_struct_0(sK157))
| r3_lattices(sK157,k4_lattices(sK157,X290,X288),k4_lattices(sK157,X291,X289))
| ~ r3_lattices(sK157,X290,X289)
| ~ m1_subset_1(X291,u1_struct_0(sK157))
| ~ m1_subset_1(X289,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X288,X291) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_193])]) ).
fof(f42509,plain,
( ! [X291,X290,X289,X288] :
( ~ m1_subset_1(X288,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X288,X291)
| ~ m1_subset_1(X289,u1_struct_0(sK157))
| ~ m1_subset_1(X291,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X290,X289)
| ~ l3_lattices(sK157)
| r3_lattices(sK157,k4_lattices(sK157,X290,X288),k4_lattices(sK157,X291,X289))
| ~ m1_subset_1(X290,u1_struct_0(sK157))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38048]) ).
fof(f42991,plain,
( ~ spl168_155
| spl168_192
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42450,f38968,f42820,f42989,f42816]) ).
fof(f42989,plain,
( spl168_192
<=> ! [X176,X175] :
( ~ v1_funct_2(X176,u1_struct_0(sK157),u1_struct_0(X175))
| m3_vectsp_8(X176,sK157,X175)
| ~ l3_lattices(X175)
| ~ v1_funct_1(X176)
| v3_struct_0(X175)
| ~ m2_relset_1(X176,u1_struct_0(sK157),u1_struct_0(X175))
| ~ v10_lattices(X175)
| m1_subset_1(sK76(sK157,X175,X176),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_192])]) ).
fof(f42450,plain,
( ! [X176,X175] :
( ~ v10_lattices(sK157)
| ~ v1_funct_2(X176,u1_struct_0(sK157),u1_struct_0(X175))
| m1_subset_1(sK76(sK157,X175,X176),u1_struct_0(sK157))
| ~ v10_lattices(X175)
| ~ l3_lattices(sK157)
| ~ m2_relset_1(X176,u1_struct_0(sK157),u1_struct_0(X175))
| v3_struct_0(X175)
| ~ v1_funct_1(X176)
| ~ l3_lattices(X175)
| m3_vectsp_8(X176,sK157,X175) )
| spl168_5 ),
inference(resolution,[],[f38970,f37909]) ).
fof(f42987,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_191
| spl168_5 ),
inference(avatar_split_clause,[],[f42695,f38968,f42985,f42816,f42820]) ).
fof(f42985,plain,
( spl168_191
<=> ! [X633,X636,X634,X635] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,k3_lattices(sK157,X635,X636)),k3_lattices(X634,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,X635),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,X636)))
| ~ m2_relset_1(X633,u1_struct_0(sK157),u1_struct_0(X634))
| ~ v1_funct_1(X633)
| ~ m1_subset_1(X636,u1_struct_0(sK157))
| v3_struct_0(X634)
| ~ m1_lattice4(X633,sK157,X634)
| ~ l3_lattices(X634)
| ~ v1_funct_2(X633,u1_struct_0(sK157),u1_struct_0(X634))
| ~ m1_subset_1(X635,u1_struct_0(sK157))
| ~ v10_lattices(X634) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_191])]) ).
fof(f42695,plain,
( ! [X633,X635,X636,X634] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,k3_lattices(sK157,X635,X636)),k3_lattices(X634,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,X635),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X634),X633,X636)))
| ~ l3_lattices(sK157)
| ~ v10_lattices(X634)
| ~ m1_subset_1(X635,u1_struct_0(sK157))
| ~ v1_funct_2(X633,u1_struct_0(sK157),u1_struct_0(X634))
| ~ l3_lattices(X634)
| ~ m1_lattice4(X633,sK157,X634)
| v3_struct_0(X634)
| ~ m1_subset_1(X636,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v1_funct_1(X633)
| ~ m2_relset_1(X633,u1_struct_0(sK157),u1_struct_0(X634)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38687]) ).
fof(f42983,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_190
| spl168_5 ),
inference(avatar_split_clause,[],[f42391,f38968,f42981,f42816,f42820]) ).
fof(f42981,plain,
( spl168_190
<=> ! [X91,X92] :
( ~ v10_lattices(X91)
| m1_lattice4(X92,sK157,X91)
| ~ l3_lattices(X91)
| m1_subset_1(sK35(sK157,X91,X92),u1_struct_0(sK157))
| v3_struct_0(X91)
| ~ v1_funct_2(X92,u1_struct_0(sK157),u1_struct_0(X91))
| ~ v1_funct_1(X92)
| ~ m2_relset_1(X92,u1_struct_0(sK157),u1_struct_0(X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_190])]) ).
fof(f42391,plain,
( ! [X91,X92] :
( ~ v10_lattices(X91)
| ~ m2_relset_1(X92,u1_struct_0(sK157),u1_struct_0(X91))
| ~ v1_funct_1(X92)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ v1_funct_2(X92,u1_struct_0(sK157),u1_struct_0(X91))
| v3_struct_0(X91)
| m1_subset_1(sK35(sK157,X91,X92),u1_struct_0(sK157))
| ~ l3_lattices(X91)
| m1_lattice4(X92,sK157,X91) )
| spl168_5 ),
inference(resolution,[],[f38970,f37687]) ).
fof(f42978,plain,
( ~ spl168_156
| spl168_189
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42441,f38968,f42816,f42976,f42820]) ).
fof(f42976,plain,
( spl168_189
<=> ! [X158,X159] :
( ~ l3_lattices(X158)
| v1_funct_2(X159,u1_struct_0(X158),u1_struct_0(sK157))
| v3_struct_0(X158)
| ~ m4_vectsp_8(X159,X158,sK157)
| ~ v10_lattices(X158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_189])]) ).
fof(f42441,plain,
( ! [X158,X159] :
( ~ l3_lattices(sK157)
| ~ l3_lattices(X158)
| ~ v10_lattices(X158)
| ~ m4_vectsp_8(X159,X158,sK157)
| v3_struct_0(X158)
| v1_funct_2(X159,u1_struct_0(X158),u1_struct_0(sK157))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37843]) ).
fof(f42973,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_188
| spl168_5 ),
inference(avatar_split_clause,[],[f42436,f38968,f42971,f42820,f42816]) ).
fof(f42971,plain,
( spl168_188
<=> ! [X149,X148] :
( ~ v10_lattices(X149)
| ~ m4_vectsp_8(X148,sK157,X149)
| m2_relset_1(X148,u1_struct_0(sK157),u1_struct_0(X149))
| v3_struct_0(X149)
| ~ l3_lattices(X149) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_188])]) ).
fof(f42436,plain,
( ! [X148,X149] :
( ~ v10_lattices(X149)
| ~ l3_lattices(X149)
| v3_struct_0(X149)
| ~ v10_lattices(sK157)
| m2_relset_1(X148,u1_struct_0(sK157),u1_struct_0(X149))
| ~ m4_vectsp_8(X148,sK157,X149)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37841]) ).
fof(f42969,plain,
( spl168_187
| ~ spl168_155
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42523,f38968,f42820,f42816,f42967]) ).
fof(f42967,plain,
( spl168_187
<=> ! [X307,X306] :
( ~ l3_lattices(X306)
| ~ v10_lattices(X306)
| v3_struct_0(X306)
| v1_funct_1(X307)
| ~ m1_lattice4(X307,sK157,X306) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_187])]) ).
fof(f42523,plain,
( ! [X307,X306] :
( ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X306)
| v1_funct_1(X307)
| ~ m1_lattice4(X307,sK157,X306)
| v3_struct_0(X306)
| ~ v10_lattices(X306) )
| spl168_5 ),
inference(resolution,[],[f38970,f38076]) ).
fof(f42964,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_186
| spl168_5 ),
inference(avatar_split_clause,[],[f42694,f38968,f42962,f42820,f42816]) ).
fof(f42962,plain,
( spl168_186
<=> ! [X629,X630,X632,X631] :
( ~ v10_lattices(X630)
| ~ m1_subset_1(X632,u1_struct_0(X630))
| ~ m1_lattice4(X629,X630,sK157)
| v3_struct_0(X630)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,k4_lattices(X630,X632,X631)),k4_lattices(sK157,k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,X632),k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,X631)))
| ~ v1_funct_2(X629,u1_struct_0(X630),u1_struct_0(sK157))
| ~ l3_lattices(X630)
| ~ v1_funct_1(X629)
| ~ m2_relset_1(X629,u1_struct_0(X630),u1_struct_0(sK157))
| ~ m1_subset_1(X631,u1_struct_0(X630)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_186])]) ).
fof(f42694,plain,
( ! [X632,X629,X631,X630] :
( ~ v10_lattices(X630)
| ~ m1_subset_1(X631,u1_struct_0(X630))
| ~ v1_funct_1(X629)
| ~ l3_lattices(X630)
| ~ m2_relset_1(X629,u1_struct_0(X630),u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v1_funct_2(X629,u1_struct_0(X630),u1_struct_0(sK157))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,k4_lattices(X630,X632,X631)),k4_lattices(sK157,k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,X632),k8_funct_2(u1_struct_0(X630),u1_struct_0(sK157),X629,X631)))
| v3_struct_0(X630)
| ~ l3_lattices(sK157)
| ~ m1_lattice4(X629,X630,sK157)
| ~ m1_subset_1(X632,u1_struct_0(X630)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38686]) ).
fof(f42960,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_185
| spl168_5 ),
inference(avatar_split_clause,[],[f42445,f38968,f42958,f42816,f42820]) ).
fof(f42958,plain,
( spl168_185
<=> ! [X167,X168] :
( m4_vectsp_8(X167,sK157,X168)
| ~ v10_lattices(X168)
| ~ m2_relset_1(X167,u1_struct_0(sK157),u1_struct_0(X168))
| ~ l3_lattices(X168)
| ~ v1_funct_1(X167)
| v3_struct_0(X168)
| m1_subset_1(sK65(sK157,X168,X167),u1_struct_0(sK157))
| ~ v1_funct_2(X167,u1_struct_0(sK157),u1_struct_0(X168)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_185])]) ).
fof(f42445,plain,
( ! [X168,X167] :
( m4_vectsp_8(X167,sK157,X168)
| ~ v1_funct_2(X167,u1_struct_0(sK157),u1_struct_0(X168))
| m1_subset_1(sK65(sK157,X168,X167),u1_struct_0(sK157))
| v3_struct_0(X168)
| ~ v1_funct_1(X167)
| ~ l3_lattices(X168)
| ~ l3_lattices(sK157)
| ~ m2_relset_1(X167,u1_struct_0(sK157),u1_struct_0(X168))
| ~ v10_lattices(sK157)
| ~ v10_lattices(X168) )
| spl168_5 ),
inference(resolution,[],[f38970,f37857]) ).
fof(f42956,plain,
( ~ spl168_155
| spl168_184
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42472,f38968,f42820,f42954,f42816]) ).
fof(f42954,plain,
( spl168_184
<=> ! [X228,X227] :
( m1_lattice4(X228,sK157,X227)
| v3_struct_0(X227)
| ~ m2_relset_1(X228,u1_struct_0(sK157),u1_struct_0(X227))
| ~ v10_lattices(X227)
| ~ v1_funct_2(X228,u1_struct_0(sK157),u1_struct_0(X227))
| ~ m3_vectsp_8(X228,sK157,X227)
| ~ v1_funct_1(X228)
| ~ l3_lattices(X227)
| ~ m4_vectsp_8(X228,sK157,X227) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_184])]) ).
fof(f42472,plain,
( ! [X228,X227] :
( ~ v10_lattices(sK157)
| m1_lattice4(X228,sK157,X227)
| ~ m4_vectsp_8(X228,sK157,X227)
| ~ l3_lattices(X227)
| ~ v1_funct_1(X228)
| ~ m3_vectsp_8(X228,sK157,X227)
| ~ v1_funct_2(X228,u1_struct_0(sK157),u1_struct_0(X227))
| ~ v10_lattices(X227)
| ~ m2_relset_1(X228,u1_struct_0(sK157),u1_struct_0(X227))
| v3_struct_0(X227)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37959]) ).
fof(f42952,plain,
( ~ spl168_156
| spl168_183
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42443,f38968,f42816,f42950,f42820]) ).
fof(f42950,plain,
( spl168_183
<=> ! [X163,X164] :
( m1_subset_1(sK66(sK157,X163,X164),u1_struct_0(sK157))
| ~ m2_relset_1(X164,u1_struct_0(sK157),u1_struct_0(X163))
| v3_struct_0(X163)
| ~ v10_lattices(X163)
| ~ l3_lattices(X163)
| ~ v1_funct_2(X164,u1_struct_0(sK157),u1_struct_0(X163))
| m4_vectsp_8(X164,sK157,X163)
| ~ v1_funct_1(X164) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_183])]) ).
fof(f42443,plain,
( ! [X163,X164] :
( ~ l3_lattices(sK157)
| m1_subset_1(sK66(sK157,X163,X164),u1_struct_0(sK157))
| ~ v1_funct_1(X164)
| m4_vectsp_8(X164,sK157,X163)
| ~ v1_funct_2(X164,u1_struct_0(sK157),u1_struct_0(X163))
| ~ l3_lattices(X163)
| ~ v10_lattices(X163)
| v3_struct_0(X163)
| ~ m2_relset_1(X164,u1_struct_0(sK157),u1_struct_0(X163))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37855]) ).
fof(f42947,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_182
| spl168_5 ),
inference(avatar_split_clause,[],[f42726,f38968,f42945,f42816,f42820]) ).
fof(f42945,plain,
( spl168_182
<=> ! [X697,X698,X696,X699] :
( ~ v10_lattices(X696)
| ~ v1_funct_1(X697)
| ~ m1_subset_1(X699,u1_struct_0(X696))
| ~ l3_lattices(X696)
| ~ m3_vectsp_8(X697,X696,sK157)
| ~ m1_subset_1(X698,u1_struct_0(X696))
| ~ v1_funct_2(X697,u1_struct_0(X696),u1_struct_0(sK157))
| v3_struct_0(X696)
| ~ m2_relset_1(X697,u1_struct_0(X696),u1_struct_0(sK157))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,k4_lattices(X696,X698,X699)),k4_lattices(sK157,k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,X698),k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,X699))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_182])]) ).
fof(f42726,plain,
( ! [X698,X697,X699,X696] :
( ~ v10_lattices(X696)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,k4_lattices(X696,X698,X699)),k4_lattices(sK157,k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,X698),k8_funct_2(u1_struct_0(X696),u1_struct_0(sK157),X697,X699)))
| ~ m2_relset_1(X697,u1_struct_0(X696),u1_struct_0(sK157))
| v3_struct_0(X696)
| ~ l3_lattices(sK157)
| ~ v1_funct_2(X697,u1_struct_0(X696),u1_struct_0(sK157))
| ~ m1_subset_1(X698,u1_struct_0(X696))
| ~ m3_vectsp_8(X697,X696,sK157)
| ~ l3_lattices(X696)
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X699,u1_struct_0(X696))
| ~ v1_funct_1(X697) )
| spl168_5 ),
inference(resolution,[],[f38970,f38767]) ).
fof(f42941,plain,
( ~ spl168_155
| spl168_181
| ~ spl168_156
| spl168_5 ),
inference(avatar_split_clause,[],[f42455,f38968,f42820,f42939,f42816]) ).
fof(f42939,plain,
( spl168_181
<=> ! [X189,X188,X187,X190] :
( ~ r3_lattices(sK157,X188,X189)
| ~ r3_lattices(sK157,X187,X190)
| r3_lattices(sK157,k3_lattices(sK157,X188,X187),k3_lattices(sK157,X189,X190))
| ~ m1_subset_1(X190,u1_struct_0(sK157))
| ~ m1_subset_1(X188,u1_struct_0(sK157))
| ~ m1_subset_1(X187,u1_struct_0(sK157))
| ~ m1_subset_1(X189,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_181])]) ).
fof(f42455,plain,
( ! [X188,X189,X187,X190] :
( ~ v10_lattices(sK157)
| ~ r3_lattices(sK157,X188,X189)
| ~ m1_subset_1(X189,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ m1_subset_1(X187,u1_struct_0(sK157))
| ~ m1_subset_1(X188,u1_struct_0(sK157))
| ~ m1_subset_1(X190,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X188,X187),k3_lattices(sK157,X189,X190))
| ~ r3_lattices(sK157,X187,X190) )
| spl168_5 ),
inference(resolution,[],[f38970,f37923]) ).
fof(f42937,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_180
| spl168_5 ),
inference(avatar_split_clause,[],[f42369,f38968,f42935,f42816,f42820]) ).
fof(f42935,plain,
( spl168_180
<=> ! [X52,X53,X51] :
( ~ r3_lattices(sK157,X52,X51)
| ~ m1_subset_1(X52,u1_struct_0(sK157))
| ~ m1_subset_1(X53,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X52,X53),k3_lattices(sK157,X53,X51))
| ~ m1_subset_1(X51,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_180])]) ).
fof(f42369,plain,
( ! [X51,X52,X53] :
( ~ r3_lattices(sK157,X52,X51)
| ~ m1_subset_1(X51,u1_struct_0(sK157))
| r3_lattices(sK157,k3_lattices(sK157,X52,X53),k3_lattices(sK157,X53,X51))
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X53,u1_struct_0(sK157))
| ~ m1_subset_1(X52,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37625]) ).
fof(f42933,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_179
| spl168_5 ),
inference(avatar_split_clause,[],[f42710,f38968,f42931,f42820,f42816]) ).
fof(f42931,plain,
( spl168_179
<=> ! [X663,X664] :
( ~ sQ167_eqProxy(k3_lattices(sK157,k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,sK65(X663,sK157,X664)),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,sK66(X663,sK157,X664))),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,k3_lattices(X663,sK65(X663,sK157,X664),sK66(X663,sK157,X664))))
| ~ l3_lattices(X663)
| v3_struct_0(X663)
| m4_vectsp_8(X664,X663,sK157)
| ~ v10_lattices(X663)
| ~ v1_funct_2(X664,u1_struct_0(X663),u1_struct_0(sK157))
| ~ v1_funct_1(X664)
| ~ m2_relset_1(X664,u1_struct_0(X663),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_179])]) ).
fof(f42710,plain,
( ! [X664,X663] :
( ~ sQ167_eqProxy(k3_lattices(sK157,k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,sK65(X663,sK157,X664)),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,sK66(X663,sK157,X664))),k8_funct_2(u1_struct_0(X663),u1_struct_0(sK157),X664,k3_lattices(X663,sK65(X663,sK157,X664),sK66(X663,sK157,X664))))
| ~ m2_relset_1(X664,u1_struct_0(X663),u1_struct_0(sK157))
| ~ v1_funct_1(X664)
| ~ v1_funct_2(X664,u1_struct_0(X663),u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v10_lattices(X663)
| m4_vectsp_8(X664,X663,sK157)
| v3_struct_0(X663)
| ~ l3_lattices(X663)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38741]) ).
fof(f42925,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_178
| spl168_5 ),
inference(avatar_split_clause,[],[f42434,f38968,f42923,f42820,f42816]) ).
fof(f42923,plain,
( spl168_178
<=> ! [X144,X145,X143] :
( ~ m1_subset_1(X144,u1_struct_0(sK157))
| ~ r3_lattices(sK157,k3_lattices(sK157,X144,X143),X145)
| r3_lattices(sK157,X144,X145)
| ~ m1_subset_1(X145,u1_struct_0(sK157))
| ~ m1_subset_1(X143,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_178])]) ).
fof(f42434,plain,
( ! [X145,X143,X144] :
( ~ m1_subset_1(X144,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X143,u1_struct_0(sK157))
| ~ m1_subset_1(X145,u1_struct_0(sK157))
| r3_lattices(sK157,X144,X145)
| ~ l3_lattices(sK157)
| ~ r3_lattices(sK157,k3_lattices(sK157,X144,X143),X145) )
| spl168_5 ),
inference(resolution,[],[f38970,f37839]) ).
fof(f42921,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_177
| spl168_5 ),
inference(avatar_split_clause,[],[f42359,f38968,f42919,f42820,f42816]) ).
fof(f42919,plain,
( spl168_177
<=> ! [X34,X35] :
( ~ m3_vectsp_8(X34,sK157,X35)
| ~ v10_lattices(X35)
| ~ l3_lattices(X35)
| v1_funct_2(X34,u1_struct_0(sK157),u1_struct_0(X35))
| v3_struct_0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_177])]) ).
fof(f42359,plain,
( ! [X34,X35] :
( ~ m3_vectsp_8(X34,sK157,X35)
| v3_struct_0(X35)
| v1_funct_2(X34,u1_struct_0(sK157),u1_struct_0(X35))
| ~ v10_lattices(sK157)
| ~ l3_lattices(X35)
| ~ l3_lattices(sK157)
| ~ v10_lattices(X35) )
| spl168_5 ),
inference(resolution,[],[f38970,f37484]) ).
fof(f42917,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_176
| spl168_5 ),
inference(avatar_split_clause,[],[f42725,f38968,f42915,f42816,f42820]) ).
fof(f42915,plain,
( spl168_176
<=> ! [X693,X694,X692,X695] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,k4_lattices(sK157,X694,X695)),k4_lattices(X693,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,X694),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,X695)))
| ~ v1_funct_2(X692,u1_struct_0(sK157),u1_struct_0(X693))
| ~ v1_funct_1(X692)
| ~ l3_lattices(X693)
| v3_struct_0(X693)
| ~ m2_relset_1(X692,u1_struct_0(sK157),u1_struct_0(X693))
| ~ m1_subset_1(X695,u1_struct_0(sK157))
| ~ v10_lattices(X693)
| ~ m3_vectsp_8(X692,sK157,X693)
| ~ m1_subset_1(X694,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_176])]) ).
fof(f42725,plain,
( ! [X695,X692,X694,X693] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,k4_lattices(sK157,X694,X695)),k4_lattices(X693,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,X694),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X693),X692,X695)))
| ~ m1_subset_1(X694,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ m3_vectsp_8(X692,sK157,X693)
| ~ v10_lattices(X693)
| ~ m1_subset_1(X695,u1_struct_0(sK157))
| ~ m2_relset_1(X692,u1_struct_0(sK157),u1_struct_0(X693))
| v3_struct_0(X693)
| ~ l3_lattices(X693)
| ~ v1_funct_1(X692)
| ~ v10_lattices(sK157)
| ~ v1_funct_2(X692,u1_struct_0(sK157),u1_struct_0(X693)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38767]) ).
fof(f42913,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_175
| spl168_5 ),
inference(avatar_split_clause,[],[f42394,f38968,f42911,f42820,f42816]) ).
fof(f42911,plain,
( spl168_175
<=> ! [X98,X97] :
( v3_struct_0(X98)
| ~ v1_funct_2(X97,u1_struct_0(X98),u1_struct_0(sK157))
| m1_lattice4(X97,X98,sK157)
| ~ m2_relset_1(X97,u1_struct_0(X98),u1_struct_0(sK157))
| ~ v1_funct_1(X97)
| ~ l3_lattices(X98)
| ~ v10_lattices(X98)
| m1_subset_1(sK34(X98,sK157,X97),u1_struct_0(X98)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_175])]) ).
fof(f42394,plain,
( ! [X98,X97] :
( v3_struct_0(X98)
| m1_subset_1(sK34(X98,sK157,X97),u1_struct_0(X98))
| ~ v10_lattices(X98)
| ~ v10_lattices(sK157)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X98)
| ~ v1_funct_1(X97)
| ~ m2_relset_1(X97,u1_struct_0(X98),u1_struct_0(sK157))
| m1_lattice4(X97,X98,sK157)
| ~ v1_funct_2(X97,u1_struct_0(X98),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37688]) ).
fof(f42909,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_174
| spl168_5 ),
inference(avatar_split_clause,[],[f42693,f38968,f42907,f42820,f42816]) ).
fof(f42907,plain,
( spl168_174
<=> ! [X625,X626,X627,X628] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,k4_lattices(sK157,X628,X627)),k4_lattices(X625,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,X628),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,X627)))
| ~ l3_lattices(X625)
| ~ v1_funct_1(X626)
| ~ m1_lattice4(X626,sK157,X625)
| ~ v10_lattices(X625)
| ~ m1_subset_1(X627,u1_struct_0(sK157))
| v3_struct_0(X625)
| ~ m2_relset_1(X626,u1_struct_0(sK157),u1_struct_0(X625))
| ~ v1_funct_2(X626,u1_struct_0(sK157),u1_struct_0(X625))
| ~ m1_subset_1(X628,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_174])]) ).
fof(f42693,plain,
( ! [X628,X626,X625,X627] :
( sQ167_eqProxy(k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,k4_lattices(sK157,X628,X627)),k4_lattices(X625,k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,X628),k8_funct_2(u1_struct_0(sK157),u1_struct_0(X625),X626,X627)))
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X628,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ v1_funct_2(X626,u1_struct_0(sK157),u1_struct_0(X625))
| ~ m2_relset_1(X626,u1_struct_0(sK157),u1_struct_0(X625))
| v3_struct_0(X625)
| ~ m1_subset_1(X627,u1_struct_0(sK157))
| ~ v10_lattices(X625)
| ~ m1_lattice4(X626,sK157,X625)
| ~ v1_funct_1(X626)
| ~ l3_lattices(X625) )
| spl168_5 ),
inference(resolution,[],[f38970,f38686]) ).
fof(f42905,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_172
| ~ spl168_173
| spl168_5 ),
inference(avatar_split_clause,[],[f42758,f38968,f42902,f42899,f42820,f42816]) ).
fof(f42899,plain,
( spl168_172
<=> ! [X762,X761,X763] :
( ~ m1_subset_1(X763,u1_struct_0(sK157))
| sQ167_eqProxy(k3_lattices(sK157,X761,k4_lattices(sK157,X762,X763)),k4_lattices(sK157,k3_lattices(sK157,X761,X762),k3_lattices(sK157,X761,X763)))
| ~ m1_subset_1(X761,u1_struct_0(sK157))
| ~ m1_subset_1(X762,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_172])]) ).
fof(f42902,plain,
( spl168_173
<=> sP119(sK118(sK157),sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_173])]) ).
fof(f42758,plain,
( ! [X762,X761,X763] :
( ~ sP119(sK118(sK157),sK157)
| ~ m1_subset_1(X763,u1_struct_0(sK157))
| ~ m1_subset_1(X762,u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ m1_subset_1(X761,u1_struct_0(sK157))
| sQ167_eqProxy(k3_lattices(sK157,X761,k4_lattices(sK157,X762,X763)),k4_lattices(sK157,k3_lattices(sK157,X761,X762),k3_lattices(sK157,X761,X763)))
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38837]) ).
fof(f42897,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_171
| spl168_5 ),
inference(avatar_split_clause,[],[f42520,f38968,f42895,f42816,f42820]) ).
fof(f42895,plain,
( spl168_171
<=> ! [X301,X300] :
( m2_relset_1(X300,u1_struct_0(X301),u1_struct_0(sK157))
| ~ l3_lattices(X301)
| v3_struct_0(X301)
| ~ v10_lattices(X301)
| ~ m1_lattice4(X300,X301,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_171])]) ).
fof(f42520,plain,
( ! [X301,X300] :
( m2_relset_1(X300,u1_struct_0(X301),u1_struct_0(sK157))
| ~ m1_lattice4(X300,X301,sK157)
| ~ l3_lattices(sK157)
| ~ v10_lattices(X301)
| v3_struct_0(X301)
| ~ l3_lattices(X301)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38074]) ).
fof(f42893,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_170
| spl168_5 ),
inference(avatar_split_clause,[],[f42444,f38968,f42891,f42820,f42816]) ).
fof(f42891,plain,
( spl168_170
<=> ! [X166,X165] :
( ~ v1_funct_2(X166,u1_struct_0(X165),u1_struct_0(sK157))
| ~ v10_lattices(X165)
| ~ m2_relset_1(X166,u1_struct_0(X165),u1_struct_0(sK157))
| m1_subset_1(sK66(X165,sK157,X166),u1_struct_0(X165))
| ~ v1_funct_1(X166)
| m4_vectsp_8(X166,X165,sK157)
| v3_struct_0(X165)
| ~ l3_lattices(X165) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_170])]) ).
fof(f42444,plain,
( ! [X166,X165] :
( ~ v1_funct_2(X166,u1_struct_0(X165),u1_struct_0(sK157))
| ~ l3_lattices(X165)
| v3_struct_0(X165)
| m4_vectsp_8(X166,X165,sK157)
| ~ v1_funct_1(X166)
| m1_subset_1(sK66(X165,sK157,X166),u1_struct_0(X165))
| ~ m2_relset_1(X166,u1_struct_0(X165),u1_struct_0(sK157))
| ~ v10_lattices(sK157)
| ~ v10_lattices(X165)
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37855]) ).
fof(f42889,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_169
| spl168_5 ),
inference(avatar_split_clause,[],[f42496,f38968,f42887,f42816,f42820]) ).
fof(f42887,plain,
( spl168_169
<=> ! [X257,X258,X256] :
( ~ m1_subset_1(X258,u1_struct_0(sK157))
| ~ m1_subset_1(X257,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X257,X256)
| ~ m1_subset_1(X256,u1_struct_0(sK157))
| r3_lattices(sK157,k4_lattices(sK157,X258,X257),X256) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_169])]) ).
fof(f42496,plain,
( ! [X258,X257,X256] :
( ~ m1_subset_1(X258,u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| r3_lattices(sK157,k4_lattices(sK157,X258,X257),X256)
| ~ m1_subset_1(X256,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X257,X256)
| ~ m1_subset_1(X257,u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f38022]) ).
fof(f42885,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_168
| spl168_5 ),
inference(avatar_split_clause,[],[f42712,f38968,f42883,f42820,f42816]) ).
fof(f42883,plain,
( spl168_168
<=> ! [X671,X670,X672,X669] :
( ~ v1_funct_1(X670)
| ~ m1_subset_1(X671,u1_struct_0(X669))
| ~ m1_subset_1(X672,u1_struct_0(X669))
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,k3_lattices(X669,X671,X672)),k3_lattices(sK157,k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,X671),k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,X672)))
| ~ m4_vectsp_8(X670,X669,sK157)
| v3_struct_0(X669)
| ~ m2_relset_1(X670,u1_struct_0(X669),u1_struct_0(sK157))
| ~ v10_lattices(X669)
| ~ l3_lattices(X669)
| ~ v1_funct_2(X670,u1_struct_0(X669),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_168])]) ).
fof(f42712,plain,
( ! [X670,X672,X669,X671] :
( ~ v1_funct_1(X670)
| ~ v1_funct_2(X670,u1_struct_0(X669),u1_struct_0(sK157))
| ~ l3_lattices(X669)
| ~ v10_lattices(X669)
| ~ v10_lattices(sK157)
| ~ m2_relset_1(X670,u1_struct_0(X669),u1_struct_0(sK157))
| v3_struct_0(X669)
| ~ m4_vectsp_8(X670,X669,sK157)
| sQ167_eqProxy(k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,k3_lattices(X669,X671,X672)),k3_lattices(sK157,k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,X671),k8_funct_2(u1_struct_0(X669),u1_struct_0(sK157),X670,X672)))
| ~ m1_subset_1(X672,u1_struct_0(X669))
| ~ m1_subset_1(X671,u1_struct_0(X669))
| ~ l3_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38742]) ).
fof(f42881,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_167
| spl168_5 ),
inference(avatar_split_clause,[],[f42616,f38968,f42879,f42816,f42820]) ).
fof(f42879,plain,
( spl168_167
<=> ! [X488,X487,X486] :
( ~ r3_lattices(sK157,X486,X487)
| r3_lattices(sK157,X486,k4_lattices(sK157,X487,X488))
| ~ r3_lattices(sK157,X486,X488)
| ~ m1_subset_1(X487,u1_struct_0(sK157))
| ~ m1_subset_1(X488,u1_struct_0(sK157))
| ~ m1_subset_1(X486,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_167])]) ).
fof(f42616,plain,
( ! [X487,X486,X488] :
( ~ r3_lattices(sK157,X486,X487)
| ~ l3_lattices(sK157)
| ~ m1_subset_1(X486,u1_struct_0(sK157))
| ~ m1_subset_1(X488,u1_struct_0(sK157))
| ~ m1_subset_1(X487,u1_struct_0(sK157))
| ~ r3_lattices(sK157,X486,X488)
| r3_lattices(sK157,X486,k4_lattices(sK157,X487,X488))
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f38392]) ).
fof(f42877,plain,
( ~ spl168_156
| spl168_166
| ~ spl168_155
| spl168_5 ),
inference(avatar_split_clause,[],[f42360,f38968,f42816,f42875,f42820]) ).
fof(f42875,plain,
( spl168_166
<=> ! [X36,X37] :
( ~ m3_vectsp_8(X36,X37,sK157)
| m2_relset_1(X36,u1_struct_0(X37),u1_struct_0(sK157))
| v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_166])]) ).
fof(f42360,plain,
( ! [X36,X37] :
( ~ l3_lattices(sK157)
| ~ m3_vectsp_8(X36,X37,sK157)
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| ~ v10_lattices(sK157)
| v3_struct_0(X37)
| m2_relset_1(X36,u1_struct_0(X37),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37485]) ).
fof(f42873,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_165
| spl168_5 ),
inference(avatar_split_clause,[],[f42728,f38968,f42871,f42816,f42820]) ).
fof(f42871,plain,
( spl168_165
<=> ! [X703,X702] :
( ~ v1_funct_2(X702,u1_struct_0(X703),u1_struct_0(sK157))
| ~ l3_lattices(X703)
| m3_vectsp_8(X702,X703,sK157)
| ~ m2_relset_1(X702,u1_struct_0(X703),u1_struct_0(sK157))
| v3_struct_0(X703)
| ~ v1_funct_1(X702)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,k4_lattices(X703,sK75(X703,sK157,X702),sK76(X703,sK157,X702))),k4_lattices(sK157,k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,sK75(X703,sK157,X702)),k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,sK76(X703,sK157,X702))))
| ~ v10_lattices(X703) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_165])]) ).
fof(f42728,plain,
( ! [X703,X702] :
( ~ v1_funct_2(X702,u1_struct_0(X703),u1_struct_0(sK157))
| ~ v10_lattices(X703)
| ~ l3_lattices(sK157)
| ~ v10_lattices(sK157)
| ~ sQ167_eqProxy(k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,k4_lattices(X703,sK75(X703,sK157,X702),sK76(X703,sK157,X702))),k4_lattices(sK157,k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,sK75(X703,sK157,X702)),k8_funct_2(u1_struct_0(X703),u1_struct_0(sK157),X702,sK76(X703,sK157,X702))))
| ~ v1_funct_1(X702)
| v3_struct_0(X703)
| ~ m2_relset_1(X702,u1_struct_0(X703),u1_struct_0(sK157))
| m3_vectsp_8(X702,X703,sK157)
| ~ l3_lattices(X703) )
| spl168_5 ),
inference(resolution,[],[f38970,f38768]) ).
fof(f42867,plain,
( spl168_164
| spl168_5
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f42862,f39008,f38968,f42864]) ).
fof(f42864,plain,
( spl168_164
<=> m1_subset_1(k2_group_1(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_164])]) ).
fof(f42862,plain,
( m1_subset_1(k2_group_1(sK157),u1_struct_0(sK157))
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f42457,f39010]) ).
fof(f42457,plain,
( m1_subset_1(k2_group_1(sK157),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| spl168_5 ),
inference(resolution,[],[f38970,f37931]) ).
fof(f42857,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_163
| spl168_5 ),
inference(avatar_split_clause,[],[f42357,f38968,f42855,f42816,f42820]) ).
fof(f42855,plain,
( spl168_163
<=> ! [X30,X31] :
( v3_struct_0(X31)
| ~ l3_lattices(X31)
| ~ v10_lattices(X31)
| v1_funct_1(X30)
| ~ m3_vectsp_8(X30,sK157,X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_163])]) ).
fof(f42357,plain,
( ! [X31,X30] :
( v3_struct_0(X31)
| ~ l3_lattices(sK157)
| v1_funct_1(X30)
| ~ v10_lattices(sK157)
| ~ m3_vectsp_8(X30,sK157,X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
| spl168_5 ),
inference(resolution,[],[f38970,f37483]) ).
fof(f42853,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_162
| spl168_5 ),
inference(avatar_split_clause,[],[f42358,f38968,f42851,f42816,f42820]) ).
fof(f42851,plain,
( spl168_162
<=> ! [X32,X33] :
( ~ v10_lattices(X33)
| v1_funct_2(X32,u1_struct_0(X33),u1_struct_0(sK157))
| v3_struct_0(X33)
| ~ l3_lattices(X33)
| ~ m3_vectsp_8(X32,X33,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_162])]) ).
fof(f42358,plain,
( ! [X32,X33] :
( ~ v10_lattices(X33)
| ~ m3_vectsp_8(X32,X33,sK157)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X33)
| ~ v10_lattices(sK157)
| v3_struct_0(X33)
| v1_funct_2(X32,u1_struct_0(X33),u1_struct_0(sK157)) )
| spl168_5 ),
inference(resolution,[],[f38970,f37484]) ).
fof(f42849,plain,
( spl168_161
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(avatar_split_clause,[],[f42844,f39405,f39008,f38968,f42846]) ).
fof(f42846,plain,
( spl168_161
<=> m1_subset_1(sK106(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_161])]) ).
fof(f42844,plain,
( m1_subset_1(sK106(sK157),u1_struct_0(sK157))
| spl168_5
| ~ spl168_13
| spl168_16 ),
inference(subsumption_resolution,[],[f42843,f39407]) ).
fof(f42843,plain,
( m1_subset_1(sK106(sK157),u1_struct_0(sK157))
| v7_group_1(sK157)
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f42510,f39010]) ).
fof(f42510,plain,
( ~ l1_group_1(sK157)
| m1_subset_1(sK106(sK157),u1_struct_0(sK157))
| v7_group_1(sK157)
| spl168_5 ),
inference(resolution,[],[f38970,f38052]) ).
fof(f42842,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_160
| spl168_5 ),
inference(avatar_split_clause,[],[f42446,f38968,f42840,f42816,f42820]) ).
fof(f42840,plain,
( spl168_160
<=> ! [X169,X170] :
( ~ m2_relset_1(X169,u1_struct_0(X170),u1_struct_0(sK157))
| v3_struct_0(X170)
| ~ v10_lattices(X170)
| m4_vectsp_8(X169,X170,sK157)
| ~ v1_funct_1(X169)
| ~ l3_lattices(X170)
| m1_subset_1(sK65(X170,sK157,X169),u1_struct_0(X170))
| ~ v1_funct_2(X169,u1_struct_0(X170),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_160])]) ).
fof(f42446,plain,
( ! [X170,X169] :
( ~ m2_relset_1(X169,u1_struct_0(X170),u1_struct_0(sK157))
| ~ v1_funct_2(X169,u1_struct_0(X170),u1_struct_0(sK157))
| ~ l3_lattices(sK157)
| m1_subset_1(sK65(X170,sK157,X169),u1_struct_0(X170))
| ~ l3_lattices(X170)
| ~ v10_lattices(sK157)
| ~ v1_funct_1(X169)
| m4_vectsp_8(X169,X170,sK157)
| ~ v10_lattices(X170)
| v3_struct_0(X170) )
| spl168_5 ),
inference(resolution,[],[f38970,f37857]) ).
fof(f42838,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_159
| spl168_5 ),
inference(avatar_split_clause,[],[f42452,f38968,f42836,f42816,f42820]) ).
fof(f42836,plain,
( spl168_159
<=> ! [X179,X180] :
( m3_vectsp_8(X179,sK157,X180)
| ~ v10_lattices(X180)
| ~ m2_relset_1(X179,u1_struct_0(sK157),u1_struct_0(X180))
| v3_struct_0(X180)
| m1_subset_1(sK75(sK157,X180,X179),u1_struct_0(sK157))
| ~ l3_lattices(X180)
| ~ v1_funct_2(X179,u1_struct_0(sK157),u1_struct_0(X180))
| ~ v1_funct_1(X179) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_159])]) ).
fof(f42452,plain,
( ! [X180,X179] :
( m3_vectsp_8(X179,sK157,X180)
| ~ v1_funct_1(X179)
| ~ v1_funct_2(X179,u1_struct_0(sK157),u1_struct_0(X180))
| ~ l3_lattices(sK157)
| ~ l3_lattices(X180)
| m1_subset_1(sK75(sK157,X180,X179),u1_struct_0(sK157))
| v3_struct_0(X180)
| ~ m2_relset_1(X179,u1_struct_0(sK157),u1_struct_0(X180))
| ~ v10_lattices(sK157)
| ~ v10_lattices(X180) )
| spl168_5 ),
inference(resolution,[],[f38970,f37912]) ).
fof(f42834,plain,
( ~ spl168_156
| ~ spl168_155
| spl168_158
| spl168_5 ),
inference(avatar_split_clause,[],[f42396,f38968,f42832,f42816,f42820]) ).
fof(f42832,plain,
( spl168_158
<=> ! [X100] :
( ~ v10_lattices(X100)
| v3_struct_0(X100)
| m3_vectsp_8(sK36(X100,sK157),sK157,X100)
| ~ l3_lattices(X100) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_158])]) ).
fof(f42396,plain,
( ! [X100] :
( ~ v10_lattices(X100)
| ~ l3_lattices(sK157)
| ~ l3_lattices(X100)
| m3_vectsp_8(sK36(X100,sK157),sK157,X100)
| v3_struct_0(X100)
| ~ v10_lattices(sK157) )
| spl168_5 ),
inference(resolution,[],[f38970,f37691]) ).
fof(f42826,plain,
( ~ spl168_155
| ~ spl168_156
| spl168_157
| spl168_5 ),
inference(avatar_split_clause,[],[f42519,f38968,f42824,f42820,f42816]) ).
fof(f42824,plain,
( spl168_157
<=> ! [X299,X298] :
( ~ m1_lattice4(X299,sK157,X298)
| v3_struct_0(X298)
| m2_relset_1(X299,u1_struct_0(sK157),u1_struct_0(X298))
| ~ l3_lattices(X298)
| ~ v10_lattices(X298) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_157])]) ).
fof(f42519,plain,
( ! [X299,X298] :
( ~ m1_lattice4(X299,sK157,X298)
| ~ v10_lattices(X298)
| ~ v10_lattices(sK157)
| ~ l3_lattices(X298)
| m2_relset_1(X299,u1_struct_0(sK157),u1_struct_0(X298))
| ~ l3_lattices(sK157)
| v3_struct_0(X298) )
| spl168_5 ),
inference(resolution,[],[f38970,f38074]) ).
fof(f42341,plain,
( spl168_154
| ~ spl168_99
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42337,f38983,f38978,f38973,f38958,f41140,f42339]) ).
fof(f42339,plain,
( spl168_154
<=> ! [X157,X158,X159] :
( r1_rlvect_1(X158,sK99(X159,sK156,X158,X157))
| ~ r1_rlvect_1(k8_group_4(sK156,X158,X157),X159)
| ~ m1_group_2(X157,sK156)
| ~ m1_group_2(X158,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_154])]) ).
fof(f42337,plain,
( ! [X158,X159,X157] :
( ~ v7_group_1(sK156)
| r1_rlvect_1(X158,sK99(X159,sK156,X158,X157))
| ~ m1_group_2(X158,sK156)
| ~ m1_group_2(X157,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X158,X157),X159) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42336,f38975]) ).
fof(f42336,plain,
( ! [X158,X159,X157] :
( ~ r1_rlvect_1(k8_group_4(sK156,X158,X157),X159)
| ~ m1_group_2(X158,sK156)
| r1_rlvect_1(X158,sK99(X159,sK156,X158,X157))
| ~ v4_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X157,sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42335,f38985]) ).
fof(f42335,plain,
( ! [X158,X159,X157] :
( ~ m1_group_2(X157,sK156)
| ~ m1_group_2(X158,sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| r1_rlvect_1(X158,sK99(X159,sK156,X158,X157))
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X158,X157),X159) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40790,f38980]) ).
fof(f40790,plain,
( ! [X158,X159,X157] :
( v3_struct_0(sK156)
| ~ m1_group_2(X157,sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X158,sK156)
| r1_rlvect_1(X158,sK99(X159,sK156,X158,X157))
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X158,X157),X159)
| ~ v4_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38027]) ).
fof(f38027,plain,
! [X2,X3,X0,X1] :
( ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v7_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| r1_rlvect_1(X2,sK99(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f42319,plain,
( spl168_153
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42314,f38983,f38978,f38973,f38958,f42316]) ).
fof(f42316,plain,
( spl168_153
<=> sQ167_eqProxy(k6_group_2(sK156),k6_lattices(k11_group_4(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_153])]) ).
fof(f42314,plain,
( sQ167_eqProxy(k6_group_2(sK156),k6_lattices(k11_group_4(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42313,f38975]) ).
fof(f42313,plain,
( ~ v4_group_1(sK156)
| sQ167_eqProxy(k6_group_2(sK156),k6_lattices(k11_group_4(sK156)))
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42312,f38980]) ).
fof(f42312,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k6_group_2(sK156),k6_lattices(k11_group_4(sK156)))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40956,f38985]) ).
fof(f40956,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k6_group_2(sK156),k6_lattices(k11_group_4(sK156)))
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38759]) ).
fof(f38759,plain,
! [X0] :
( ~ v4_group_1(X0)
| sQ167_eqProxy(k6_group_2(X0),k6_lattices(k11_group_4(X0)))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_proxy_replacement,[],[f37892,f38579]) ).
fof(f37892,plain,
! [X0] :
( k6_group_2(X0) = k6_lattices(k11_group_4(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37199]) ).
fof(f37199,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| k6_group_2(X0) = k6_lattices(k11_group_4(X0)) ),
inference(flattening,[],[f37198]) ).
fof(f37198,plain,
! [X0] :
( k6_group_2(X0) = k6_lattices(k11_group_4(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22994]) ).
fof(f22994,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k6_group_2(X0) = k6_lattices(k11_group_4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_group_4) ).
fof(f42304,plain,
( spl168_152
| ~ spl168_110
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42299,f38983,f38978,f38973,f38958,f41348,f42301]) ).
fof(f42301,plain,
( spl168_152
<=> v1_finset_1(k1_group_3(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_152])]) ).
fof(f41348,plain,
( spl168_110
<=> v6_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_110])]) ).
fof(f42299,plain,
( ~ v6_group_1(sK156)
| v1_finset_1(k1_group_3(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42298,f38975]) ).
fof(f42298,plain,
( ~ v4_group_1(sK156)
| ~ v6_group_1(sK156)
| v1_finset_1(k1_group_3(sK156))
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42297,f38980]) ).
fof(f42297,plain,
( ~ v6_group_1(sK156)
| v3_struct_0(sK156)
| v1_finset_1(k1_group_3(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40754,f38985]) ).
fof(f40754,plain,
( ~ l1_group_1(sK156)
| ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| v1_finset_1(k1_group_3(sK156))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37830]) ).
fof(f37830,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_finset_1(k1_group_3(X0))
| ~ v4_group_1(X0)
| ~ v6_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36794]) ).
fof(f36794,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_group_1(X0)
| ~ v3_group_1(X0)
| v1_finset_1(k1_group_3(X0))
| v3_struct_0(X0) ),
inference(flattening,[],[f36793]) ).
fof(f36793,plain,
! [X0] :
( v1_finset_1(k1_group_3(X0))
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f22561]) ).
fof(f22561,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ( v6_group_1(X0)
=> v1_finset_1(k1_group_3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_group_3) ).
fof(f42270,plain,
( spl168_138
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42269,f38983,f38978,f38973,f38958,f41891]) ).
fof(f41891,plain,
( spl168_138
<=> v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_138])]) ).
fof(f42269,plain,
( v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42268,f38980]) ).
fof(f42268,plain,
( v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42267,f38985]) ).
fof(f42267,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40861,f38975]) ).
fof(f40861,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38358]) ).
fof(f38358,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37114]) ).
fof(f37114,plain,
! [X0] :
( ~ v4_group_1(X0)
| ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f37113]) ).
fof(f37113,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36487]) ).
fof(f36487,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f42248,plain,
( ~ spl168_151
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42243,f38983,f38978,f38973,f38958,f42245]) ).
fof(f42245,plain,
( spl168_151
<=> v1_xboole_0(k1_group_3(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_151])]) ).
fof(f42243,plain,
( ~ v1_xboole_0(k1_group_3(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42242,f38985]) ).
fof(f42242,plain,
( ~ v1_xboole_0(k1_group_3(sK156))
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f42241,f38975]) ).
fof(f42241,plain,
( ~ v1_xboole_0(k1_group_3(sK156))
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40728,f38980]) ).
fof(f40728,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v1_xboole_0(k1_group_3(sK156))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37727]) ).
fof(f37727,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(k1_group_3(X0)) ),
inference(cnf_transformation,[],[f36764]) ).
fof(f36764,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f36763]) ).
fof(f36763,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f22540]) ).
fof(f22540,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f42240,plain,
( ~ spl168_96
| spl168_150
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42236,f38983,f38978,f38973,f38958,f42238,f41114]) ).
fof(f41114,plain,
( spl168_96
<=> v1_group_1(sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_96])]) ).
fof(f42238,plain,
( spl168_150
<=> ! [X439] :
( ~ sQ167_eqProxy(u1_struct_0(sK156),u1_struct_0(X439))
| sQ167_eqProxy(sK156,X439)
| ~ m1_group_2(X439,sK156)
| ~ v1_group_1(X439) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_150])]) ).
fof(f42236,plain,
( ! [X439] :
( ~ sQ167_eqProxy(u1_struct_0(sK156),u1_struct_0(X439))
| ~ v1_group_1(X439)
| ~ m1_group_2(X439,sK156)
| sQ167_eqProxy(sK156,X439)
| ~ v1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42235,f38975]) ).
fof(f42235,plain,
( ! [X439] :
( ~ m1_group_2(X439,sK156)
| ~ sQ167_eqProxy(u1_struct_0(sK156),u1_struct_0(X439))
| ~ v4_group_1(sK156)
| ~ v1_group_1(sK156)
| sQ167_eqProxy(sK156,X439)
| ~ v1_group_1(X439) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42234,f38985]) ).
fof(f42234,plain,
( ! [X439] :
( ~ l1_group_1(sK156)
| ~ v1_group_1(X439)
| ~ m1_group_2(X439,sK156)
| ~ sQ167_eqProxy(u1_struct_0(sK156),u1_struct_0(X439))
| sQ167_eqProxy(sK156,X439)
| ~ v1_group_1(sK156)
| ~ v4_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40931,f38980]) ).
fof(f40931,plain,
( ! [X439] :
( v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ m1_group_2(X439,sK156)
| ~ sQ167_eqProxy(u1_struct_0(sK156),u1_struct_0(X439))
| ~ v4_group_1(sK156)
| ~ v1_group_1(X439)
| sQ167_eqProxy(sK156,X439) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38656]) ).
fof(f38656,plain,
! [X0,X1] :
( sQ167_eqProxy(X0,X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| v3_struct_0(X0)
| ~ sQ167_eqProxy(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(equality_proxy_replacement,[],[f37612,f38579,f38579]) ).
fof(f37612,plain,
! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X1,X0)
| u1_struct_0(X0) != u1_struct_0(X1)
| X0 = X1
| ~ v1_group_1(X1)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37275]) ).
fof(f37275,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| X0 = X1
| u1_struct_0(X0) != u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| ~ v1_group_1(X0) ),
inference(flattening,[],[f37274]) ).
fof(f37274,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| u1_struct_0(X0) != u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f21882]) ).
fof(f21882,axiom,
! [X0] :
( ( v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ( u1_struct_0(X0) = u1_struct_0(X1)
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_group_2) ).
fof(f42224,plain,
( ~ spl168_96
| ~ spl168_110
| spl168_149
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42220,f38983,f38978,f38973,f38958,f42222,f41348,f41114]) ).
fof(f42222,plain,
( spl168_149
<=> ! [X621,X622] :
( ~ sQ167_eqProxy(k6_group_1(sK156,X621,X622),sK165(sK156,X622))
| ~ m1_subset_1(X622,u1_struct_0(sK156))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X622)),sK156)
| ~ m2_subset_1(X621,k1_numbers,k5_numbers) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_149])]) ).
fof(f42220,plain,
( ! [X621,X622] :
( ~ sQ167_eqProxy(k6_group_1(sK156,X621,X622),sK165(sK156,X622))
| ~ m2_subset_1(X621,k1_numbers,k5_numbers)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X622)),sK156)
| ~ v6_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ m1_subset_1(X622,u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42219,f38985]) ).
fof(f42219,plain,
( ! [X621,X622] :
( ~ sQ167_eqProxy(k6_group_1(sK156,X621,X622),sK165(sK156,X622))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X622)),sK156)
| ~ m1_subset_1(X622,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m2_subset_1(X621,k1_numbers,k5_numbers) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f42218,f38975]) ).
fof(f42218,plain,
( ! [X621,X622] :
( ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ m2_subset_1(X621,k1_numbers,k5_numbers)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X622)),sK156)
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k6_group_1(sK156,X621,X622),sK165(sK156,X622))
| ~ m1_subset_1(X622,u1_struct_0(sK156))
| ~ l1_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f41023,f38980]) ).
fof(f41023,plain,
( ! [X621,X622] :
( ~ m1_subset_1(X622,u1_struct_0(sK156))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X622)),sK156)
| ~ m2_subset_1(X621,k1_numbers,k5_numbers)
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| ~ sQ167_eqProxy(k6_group_1(sK156,X621,X622),sK165(sK156,X622))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38935]) ).
fof(f38935,plain,
! [X3,X0,X1] :
( ~ sQ167_eqProxy(k6_group_1(X0,X3,X1),sK165(X0,X1))
| ~ v1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l1_group_1(X0)
| sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(equality_proxy_replacement,[],[f38398,f38579,f38579]) ).
fof(f38398,plain,
! [X3,X0,X1] :
( v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) = X0
| k6_group_1(X0,X3,X1) != sK165(X0,X1)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37324]) ).
fof(f37324,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ! [X1] :
( ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& k6_group_1(X0,X3,X1) = X2 ) )
<=> k5_group_4(X0,k1_struct_0(X0,X1)) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_group_1(X0) )
| v3_struct_0(X0) ),
inference(flattening,[],[f37323]) ).
fof(f37323,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& k6_group_1(X0,X3,X1) = X2 ) )
<=> k5_group_4(X0,k1_struct_0(X0,X1)) = X0 )
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29007]) ).
fof(f29007,axiom,
! [X0] :
( ( v3_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v6_group_1(X0)
=> ( k5_group_4(X0,k1_struct_0(X0,X1)) = X0
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& k6_group_1(X0,X3,X1) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_gr_cy_2) ).
fof(f42156,plain,
( ~ spl168_99
| spl168_148
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42152,f38983,f38978,f38973,f38958,f42154,f41140]) ).
fof(f42154,plain,
( spl168_148
<=> ! [X343,X346,X345,X344] :
( ~ m1_subset_1(X346,u1_struct_0(sK156))
| ~ r1_rlvect_1(X344,X345)
| ~ m1_group_2(X343,sK156)
| r1_rlvect_1(k8_group_4(sK156,X344,X343),k1_group_1(sK156,X345,X346))
| ~ r1_rlvect_1(X343,X346)
| ~ m1_subset_1(X345,u1_struct_0(sK156))
| ~ m1_group_2(X344,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_148])]) ).
fof(f42152,plain,
( ! [X345,X344,X343,X346] :
( ~ m1_subset_1(X346,u1_struct_0(sK156))
| ~ m1_group_2(X344,sK156)
| ~ m1_subset_1(X345,u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(X343,X346)
| r1_rlvect_1(k8_group_4(sK156,X344,X343),k1_group_1(sK156,X345,X346))
| ~ m1_group_2(X343,sK156)
| ~ r1_rlvect_1(X344,X345) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42151,f38985]) ).
fof(f42151,plain,
( ! [X345,X343,X344,X346] :
( ~ m1_group_2(X343,sK156)
| ~ m1_subset_1(X346,u1_struct_0(sK156))
| ~ l1_group_1(sK156)
| ~ r1_rlvect_1(X344,X345)
| ~ m1_group_2(X344,sK156)
| r1_rlvect_1(k8_group_4(sK156,X344,X343),k1_group_1(sK156,X345,X346))
| ~ r1_rlvect_1(X343,X346)
| ~ m1_subset_1(X345,u1_struct_0(sK156))
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f42150,f38980]) ).
fof(f42150,plain,
( ! [X345,X343,X344,X346] :
( ~ m1_subset_1(X345,u1_struct_0(sK156))
| ~ r1_rlvect_1(X343,X346)
| v3_struct_0(sK156)
| ~ m1_subset_1(X346,u1_struct_0(sK156))
| ~ m1_group_2(X343,sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(X344,X345)
| r1_rlvect_1(k8_group_4(sK156,X344,X343),k1_group_1(sK156,X345,X346))
| ~ l1_group_1(sK156)
| ~ m1_group_2(X344,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40883,f38975]) ).
fof(f40883,plain,
( ! [X345,X344,X343,X346] :
( ~ m1_group_2(X344,sK156)
| ~ m1_subset_1(X346,u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| ~ r1_rlvect_1(X343,X346)
| ~ m1_group_2(X343,sK156)
| ~ r1_rlvect_1(X344,X345)
| r1_rlvect_1(k8_group_4(sK156,X344,X343),k1_group_1(sK156,X345,X346))
| ~ v7_group_1(sK156)
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_subset_1(X345,u1_struct_0(sK156)) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38549]) ).
fof(f38549,plain,
! [X2,X3,X1,X4,X5] :
( ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| r1_rlvect_1(k8_group_4(X1,X2,X3),k1_group_1(X1,X4,X5))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ r1_rlvect_1(X3,X5)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| ~ r1_rlvect_1(X2,X4) ),
inference(equality_resolution,[],[f38030]) ).
fof(f38030,plain,
! [X2,X3,X0,X1,X4,X5] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ v7_group_1(X1)
| r1_rlvect_1(k8_group_4(X1,X2,X3),X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r1_rlvect_1(X2,X4)
| k1_group_1(X1,X4,X5) != X0
| ~ r1_rlvect_1(X3,X5)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f36786]) ).
fof(f42149,plain,
( spl168_127
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42148,f38983,f38978,f38973,f38958,f41685]) ).
fof(f42148,plain,
( v10_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42147,f38980]) ).
fof(f42147,plain,
( v3_struct_0(sK156)
| v10_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42146,f38975]) ).
fof(f42146,plain,
( v10_lattices(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40773,f38985]) ).
fof(f40773,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| v10_lattices(k11_group_4(sK156))
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37961]) ).
fof(f37961,plain,
! [X0] :
( v10_lattices(k11_group_4(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f36885]) ).
fof(f36885,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(flattening,[],[f36884]) ).
fof(f36884,plain,
! [X0] :
( ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f36710]) ).
fof(f36710,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f23007]) ).
fof(f23007,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f42145,plain,
( spl168_147
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42140,f38983,f38978,f38973,f38958,f42142]) ).
fof(f42142,plain,
( spl168_147
<=> v7_group_1(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_147])]) ).
fof(f42140,plain,
( v7_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42139,f38985]) ).
fof(f42139,plain,
( ~ l1_group_1(sK156)
| v7_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f42138,f38980]) ).
fof(f42138,plain,
( v7_group_1(k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40794,f38975]) ).
fof(f40794,plain,
( v7_group_1(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38069]) ).
fof(f38069,plain,
! [X0] :
( v7_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37417]) ).
fof(f37417,plain,
! [X0] :
( v7_group_1(k5_group_2(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37416]) ).
fof(f37416,plain,
! [X0] :
( v7_group_1(k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22544]) ).
fof(f22544,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> v7_group_1(k5_group_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_group_3) ).
fof(f42124,plain,
( spl168_104
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42123,f38983,f38978,f38973,f38958,f41191]) ).
fof(f41191,plain,
( spl168_104
<=> m1_group_2(k5_group_2(sK156),sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_104])]) ).
fof(f42123,plain,
( m1_group_2(k5_group_2(sK156),sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42122,f38985]) ).
fof(f42122,plain,
( m1_group_2(k5_group_2(sK156),sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f42121,f38975]) ).
fof(f42121,plain,
( ~ v4_group_1(sK156)
| m1_group_2(k5_group_2(sK156),sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40820,f38980]) ).
fof(f40820,plain,
( v3_struct_0(sK156)
| m1_group_2(k5_group_2(sK156),sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38171]) ).
fof(f38171,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37028]) ).
fof(f37028,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37027]) ).
fof(f37027,plain,
! [X0] :
( ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22016]) ).
fof(f22016,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_2) ).
fof(f42116,plain,
( spl168_146
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42111,f38983,f38978,f38973,f38958,f42113]) ).
fof(f42111,plain,
( l3_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42110,f38980]) ).
fof(f42110,plain,
( v3_struct_0(sK156)
| l3_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42109,f38975]) ).
fof(f42109,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| l3_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40774,f38985]) ).
fof(f40774,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| l3_lattices(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37962]) ).
fof(f37962,plain,
! [X0] :
( ~ l1_group_1(X0)
| l3_lattices(k11_group_4(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f36885]) ).
fof(f42049,plain,
( spl168_100
| ~ spl168_99
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42048,f38983,f38978,f38973,f38958,f41140,f41144]) ).
fof(f41144,plain,
( spl168_100
<=> ! [X111] :
( ~ m1_group_2(X111,sK156)
| v7_group_1(X111) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_100])]) ).
fof(f42048,plain,
( ! [X294] :
( ~ v7_group_1(sK156)
| v7_group_1(X294)
| ~ m1_group_2(X294,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42047,f38980]) ).
fof(f42047,plain,
( ! [X294] :
( ~ v7_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X294,sK156)
| v7_group_1(X294) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42046,f38975]) ).
fof(f42046,plain,
( ! [X294] :
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| v7_group_1(X294)
| ~ m1_group_2(X294,sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40851,f38985]) ).
fof(f40851,plain,
( ! [X294] :
( ~ l1_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X294,sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| v7_group_1(X294) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38313]) ).
fof(f38313,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| v7_group_1(X1)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f37085]) ).
fof(f37085,plain,
! [X0] :
( ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ( v4_group_1(X1)
& v7_group_1(X1) ) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f37084]) ).
fof(f37084,plain,
! [X0] :
( ! [X1] :
( ~ m1_group_2(X1,X0)
| ( v4_group_1(X1)
& v7_group_1(X1) ) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v7_group_1(X0) ),
inference(ennf_transformation,[],[f21808]) ).
fof(f21808,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v7_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v4_group_1(X1)
& v7_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_group_2) ).
fof(f42025,plain,
( spl168_145
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f42020,f38983,f38978,f38973,f38958,f42022]) ).
fof(f42022,plain,
( spl168_145
<=> v6_group_1(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_145])]) ).
fof(f42020,plain,
( v6_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42019,f38980]) ).
fof(f42019,plain,
( v3_struct_0(sK156)
| v6_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f42018,f38985]) ).
fof(f42018,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| v6_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40793,f38975]) ).
fof(f40793,plain,
( v6_group_1(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38036]) ).
fof(f38036,plain,
! [X0] :
( v6_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37300]) ).
fof(f37300,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| v6_group_1(k5_group_2(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37299]) ).
fof(f37299,plain,
! [X0] :
( v6_group_1(k5_group_2(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21894]) ).
fof(f21894,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> v6_group_1(k5_group_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_group_2) ).
fof(f41972,plain,
( ~ spl168_99
| spl168_144
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41968,f38983,f38978,f38973,f38958,f41970,f41140]) ).
fof(f41968,plain,
( ! [X163,X164,X165] :
( ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X165,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ m1_group_2(X164,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41967,f38980]) ).
fof(f41967,plain,
( ! [X163,X164,X165] :
( ~ m1_group_2(X164,sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| v3_struct_0(sK156)
| ~ m1_group_2(X165,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41966,f38985]) ).
fof(f41966,plain,
( ! [X163,X164,X165] :
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ m1_group_2(X164,sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ v7_group_1(sK156)
| ~ m1_group_2(X165,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40792,f38975]) ).
fof(f40792,plain,
( ! [X163,X164,X165] :
( ~ v4_group_1(sK156)
| ~ m1_group_2(X165,sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X164,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X164,X165),X163)
| ~ l1_group_1(sK156)
| m1_subset_1(sK99(X163,sK156,X164,X165),u1_struct_0(sK156))
| ~ v7_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38031]) ).
fof(f41959,plain,
( ~ spl168_96
| spl168_143
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41955,f38983,f38978,f38973,f38958,f41957,f41114]) ).
fof(f41957,plain,
( spl168_143
<=> ! [X455,X454] :
( sQ167_eqProxy(k6_group_1(sK156,sK33(sK156,X454,X455),X454),X455)
| ~ m1_subset_1(X455,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X454)),sK156)
| ~ m1_subset_1(X454,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_143])]) ).
fof(f41955,plain,
( ! [X455,X454] :
( sQ167_eqProxy(k6_group_1(sK156,sK33(sK156,X454,X455),X454),X455)
| ~ m1_subset_1(X454,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X454)),sK156)
| ~ m1_subset_1(X455,u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41954,f38975]) ).
fof(f41954,plain,
( ! [X455,X454] :
( ~ m1_subset_1(X454,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X454)),sK156)
| sQ167_eqProxy(k6_group_1(sK156,sK33(sK156,X454,X455),X454),X455)
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X455,u1_struct_0(sK156)) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41953,f38980]) ).
fof(f41953,plain,
( ! [X455,X454] :
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X454,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X454)),sK156)
| sQ167_eqProxy(k6_group_1(sK156,sK33(sK156,X454,X455),X454),X455)
| ~ m1_subset_1(X455,u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40942,f38985]) ).
fof(f40942,plain,
( ! [X455,X454] :
( ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X454)),sK156)
| ~ m1_subset_1(X455,u1_struct_0(sK156))
| sQ167_eqProxy(k6_group_1(sK156,sK33(sK156,X454,X455),X454),X455)
| ~ m1_subset_1(X454,u1_struct_0(sK156))
| v3_struct_0(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38684]) ).
fof(f38684,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| sQ167_eqProxy(k6_group_1(X0,sK33(X0,X1,X2),X1),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v4_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37679,f38579,f38579]) ).
fof(f37679,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k6_group_1(X0,sK33(X0,X1,X2),X1) = X2
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36726]) ).
fof(f36726,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ( ! [X2] :
( ? [X3] :
( v1_int_1(X3)
& k6_group_1(X0,X3,X1) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<=> k5_group_4(X0,k1_struct_0(X0,X1)) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(flattening,[],[f36725]) ).
fof(f36725,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( v1_int_1(X3)
& k6_group_1(X0,X3,X1) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<=> k5_group_4(X0,k1_struct_0(X0,X1)) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f29006]) ).
fof(f29006,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k5_group_4(X0,k1_struct_0(X0,X1)) = X0
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ? [X3] :
( v1_int_1(X3)
& k6_group_1(X0,X3,X1) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_gr_cy_2) ).
fof(f41952,plain,
( ~ spl168_121
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41951,f38983,f38978,f38973,f38958,f41520]) ).
fof(f41951,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41950,f38980]) ).
fof(f41950,plain,
( v3_struct_0(sK156)
| ~ v3_struct_0(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41949,f38975]) ).
fof(f41949,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40689,f38985]) ).
fof(f40689,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37446]) ).
fof(f37446,plain,
! [X0] :
( ~ v3_struct_0(k11_group_4(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37240]) ).
fof(f37240,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ( v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(flattening,[],[f37239]) ).
fof(f37239,plain,
! [X0] :
( ( v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36709]) ).
fof(f36709,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36708]) ).
fof(f36708,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36707]) ).
fof(f36707,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36706]) ).
fof(f36706,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36705]) ).
fof(f36705,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36704]) ).
fof(f36704,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36703]) ).
fof(f36703,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36702]) ).
fof(f36702,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36701]) ).
fof(f36701,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f36686]) ).
fof(f36686,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f22885]) ).
fof(f22885,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v15_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_4) ).
fof(f41922,plain,
( spl168_141
| ~ spl168_142
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41913,f38983,f38978,f38973,f38958,f41919,f41915]) ).
fof(f41915,plain,
( spl168_141
<=> r1_group_2(sK156,k5_group_4(sK156,k18_group_2(u1_struct_0(sK156),k2_group_1(sK156))),k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_141])]) ).
fof(f41919,plain,
( spl168_142
<=> m1_subset_1(k18_group_2(u1_struct_0(sK156),k2_group_1(sK156)),k1_zfmisc_1(u1_struct_0(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_142])]) ).
fof(f41913,plain,
( ~ m1_subset_1(k18_group_2(u1_struct_0(sK156),k2_group_1(sK156)),k1_zfmisc_1(u1_struct_0(sK156)))
| r1_group_2(sK156,k5_group_4(sK156,k18_group_2(u1_struct_0(sK156),k2_group_1(sK156))),k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41912,f38980]) ).
fof(f41912,plain,
( r1_group_2(sK156,k5_group_4(sK156,k18_group_2(u1_struct_0(sK156),k2_group_1(sK156))),k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK156),k2_group_1(sK156)),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41911,f38975]) ).
fof(f41911,plain,
( ~ v4_group_1(sK156)
| r1_group_2(sK156,k5_group_4(sK156,k18_group_2(u1_struct_0(sK156),k2_group_1(sK156))),k5_group_2(sK156))
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK156),k2_group_1(sK156)),k1_zfmisc_1(u1_struct_0(sK156)))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40884,f38985]) ).
fof(f40884,plain,
( ~ l1_group_1(sK156)
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK156),k2_group_1(sK156)),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| r1_group_2(sK156,k5_group_4(sK156,k18_group_2(u1_struct_0(sK156),k2_group_1(sK156))),k5_group_2(sK156))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38550]) ).
fof(f38550,plain,
! [X0] :
( r1_group_2(X0,k5_group_4(X0,k18_group_2(u1_struct_0(X0),k2_group_1(X0))),k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ m1_subset_1(k18_group_2(u1_struct_0(X0),k2_group_1(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f38043]) ).
fof(f38043,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36877]) ).
fof(f36877,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f36876]) ).
fof(f36876,plain,
! [X0] :
( ! [X1] :
( r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f36503]) ).
fof(f36503,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k18_group_2(u1_struct_0(X0),k2_group_1(X0)) = X1
=> r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_latsubgr) ).
fof(f41907,plain,
( ~ spl168_96
| spl168_140
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41903,f38983,f38978,f38973,f38958,f41905,f41114]) ).
fof(f41905,plain,
( spl168_140
<=> ! [X517,X514,X515,X516] :
( ~ v1_group_1(X514)
| ~ m1_group_6(X515,sK156,X514)
| ~ v1_group_3(X515,X514)
| ~ m1_subset_1(X516,u1_struct_0(X514))
| ~ m1_subset_1(X517,u1_struct_0(X514))
| sQ167_eqProxy(k2_group_2(X514,k12_group_2(X514,X515,X516),k12_group_2(X514,X515,X517)),k12_group_2(X514,X515,k1_group_1(X514,X516,X517)))
| ~ v1_group_1(X515)
| ~ m1_group_2(X514,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_140])]) ).
fof(f41903,plain,
( ! [X515,X517,X516,X514] :
( ~ v1_group_1(X514)
| ~ m1_group_2(X514,sK156)
| ~ v1_group_1(X515)
| sQ167_eqProxy(k2_group_2(X514,k12_group_2(X514,X515,X516),k12_group_2(X514,X515,X517)),k12_group_2(X514,X515,k1_group_1(X514,X516,X517)))
| ~ m1_subset_1(X517,u1_struct_0(X514))
| ~ v1_group_1(sK156)
| ~ m1_subset_1(X516,u1_struct_0(X514))
| ~ v1_group_3(X515,X514)
| ~ m1_group_6(X515,sK156,X514) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41902,f38985]) ).
fof(f41902,plain,
( ! [X515,X517,X516,X514] :
( ~ v1_group_1(sK156)
| ~ m1_subset_1(X517,u1_struct_0(X514))
| ~ m1_group_2(X514,sK156)
| ~ m1_subset_1(X516,u1_struct_0(X514))
| sQ167_eqProxy(k2_group_2(X514,k12_group_2(X514,X515,X516),k12_group_2(X514,X515,X517)),k12_group_2(X514,X515,k1_group_1(X514,X516,X517)))
| ~ l1_group_1(sK156)
| ~ m1_group_6(X515,sK156,X514)
| ~ v1_group_3(X515,X514)
| ~ v1_group_1(X515)
| ~ v1_group_1(X514) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41901,f38975]) ).
fof(f41901,plain,
( ! [X515,X517,X516,X514] :
( ~ m1_subset_1(X516,u1_struct_0(X514))
| ~ v4_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_3(X515,X514)
| ~ v1_group_1(X514)
| ~ m1_subset_1(X517,u1_struct_0(X514))
| ~ m1_group_2(X514,sK156)
| ~ v1_group_1(X515)
| ~ m1_group_6(X515,sK156,X514)
| sQ167_eqProxy(k2_group_2(X514,k12_group_2(X514,X515,X516),k12_group_2(X514,X515,X517)),k12_group_2(X514,X515,k1_group_1(X514,X516,X517))) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40972,f38980]) ).
fof(f40972,plain,
( ! [X515,X517,X516,X514] :
( ~ m1_group_2(X514,sK156)
| ~ v1_group_3(X515,X514)
| v3_struct_0(sK156)
| ~ m1_subset_1(X517,u1_struct_0(X514))
| ~ v1_group_1(X514)
| sQ167_eqProxy(k2_group_2(X514,k12_group_2(X514,X515,X516),k12_group_2(X514,X515,X517)),k12_group_2(X514,X515,k1_group_1(X514,X516,X517)))
| ~ v1_group_1(sK156)
| ~ v1_group_1(X515)
| ~ v4_group_1(sK156)
| ~ m1_group_6(X515,sK156,X514)
| ~ m1_subset_1(X516,u1_struct_0(X514))
| ~ l1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38808]) ).
fof(f38808,plain,
! [X2,X3,X0,X1,X4] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| sQ167_eqProxy(k2_group_2(X1,k12_group_2(X1,X2,X3),k12_group_2(X1,X2,X4)),k12_group_2(X1,X2,k1_group_1(X1,X3,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X0)
| ~ m1_group_6(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v4_group_1(X0)
| ~ v1_group_3(X2,X1) ),
inference(equality_proxy_replacement,[],[f38020,f38579]) ).
fof(f38020,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_3(X2,X1)
| ~ m1_group_6(X2,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k2_group_2(X1,k12_group_2(X1,X2,X3),k12_group_2(X1,X2,X4)) = k12_group_2(X1,X2,k1_group_1(X1,X3,X4))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37174]) ).
fof(f37174,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ v1_group_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( k2_group_2(X1,k12_group_2(X1,X2,X3),k12_group_2(X1,X2,X4)) = k12_group_2(X1,X2,k1_group_1(X1,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) )
| ~ m1_group_6(X2,X0,X1)
| ~ v1_group_3(X2,X1) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37173]) ).
fof(f37173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( k2_group_2(X1,k12_group_2(X1,X2,X3),k12_group_2(X1,X2,X4)) = k12_group_2(X1,X2,k1_group_1(X1,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) )
| ~ v1_group_1(X2)
| ~ v1_group_3(X2,X1)
| ~ m1_group_6(X2,X0,X1) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f34584]) ).
fof(f34584,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( ( v1_group_1(X2)
& v1_group_3(X2,X1)
& m1_group_6(X2,X0,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> k2_group_2(X1,k12_group_2(X1,X2,X3),k12_group_2(X1,X2,X4)) = k12_group_2(X1,X2,k1_group_1(X1,X3,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_grsolv_1) ).
fof(f41897,plain,
( ~ spl168_120
| ~ spl168_138
| ~ spl168_109
| spl168_139
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41889,f38983,f38978,f38973,f38958,f41895,f41331,f41891,f41479]) ).
fof(f41479,plain,
( spl168_120
<=> m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_120])]) ).
fof(f41331,plain,
( spl168_109
<=> v1_funct_1(k1_latsubgr(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_109])]) ).
fof(f41895,plain,
( spl168_139
<=> ! [X490] :
( sQ167_eqProxy(u1_struct_0(X490),k1_funct_1(k1_latsubgr(sK156),X490))
| ~ v1_group_1(X490)
| ~ m1_group_2(X490,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_139])]) ).
fof(f41889,plain,
( ! [X490] :
( sQ167_eqProxy(u1_struct_0(X490),k1_funct_1(k1_latsubgr(sK156),X490))
| ~ v1_funct_1(k1_latsubgr(sK156))
| ~ v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_group_2(X490,sK156)
| ~ m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_group_1(X490) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41888,f38975]) ).
fof(f41888,plain,
( ! [X490] :
( ~ v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ m1_group_2(X490,sK156)
| sQ167_eqProxy(u1_struct_0(X490),k1_funct_1(k1_latsubgr(sK156),X490))
| ~ v4_group_1(sK156)
| ~ m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_1(k1_latsubgr(sK156))
| ~ v1_group_1(X490) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41887,f38985]) ).
fof(f41887,plain,
( ! [X490] :
( ~ m1_group_2(X490,sK156)
| ~ v1_group_1(X490)
| ~ l1_group_1(sK156)
| ~ v1_funct_1(k1_latsubgr(sK156))
| ~ v4_group_1(sK156)
| sQ167_eqProxy(u1_struct_0(X490),k1_funct_1(k1_latsubgr(sK156),X490))
| ~ m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156))) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40960,f38980]) ).
fof(f40960,plain,
( ! [X490] :
( sQ167_eqProxy(u1_struct_0(X490),k1_funct_1(k1_latsubgr(sK156),X490))
| ~ v1_group_1(X490)
| ~ v1_funct_1(k1_latsubgr(sK156))
| ~ v1_funct_2(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| v3_struct_0(sK156)
| ~ m1_group_2(X490,sK156)
| ~ m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38764]) ).
fof(f38764,plain,
! [X2,X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| sQ167_eqProxy(u1_struct_0(X2),k1_funct_1(k1_latsubgr(X0),X2))
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_proxy_replacement,[],[f38541,f38579]) ).
fof(f38541,plain,
! [X2,X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f37899]) ).
fof(f37899,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| k1_latsubgr(X0) != X1
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37342]) ).
fof(f37342,plain,
! [X0] :
( ~ l1_group_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) ) )
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f37341]) ).
fof(f37341,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
<=> k1_latsubgr(X0) = X1 )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36504]) ).
fof(f36504,axiom,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) )
<=> k1_latsubgr(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f41883,plain,
( spl168_137
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41878,f38983,f38978,f38973,f38958,f41880]) ).
fof(f41880,plain,
( spl168_137
<=> v1_group_3(k5_group_2(sK156),sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_137])]) ).
fof(f41878,plain,
( v1_group_3(k5_group_2(sK156),sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41877,f38975]) ).
fof(f41877,plain,
( ~ v4_group_1(sK156)
| v1_group_3(k5_group_2(sK156),sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41876,f38980]) ).
fof(f41876,plain,
( v1_group_3(k5_group_2(sK156),sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40747,f38985]) ).
fof(f40747,plain,
( ~ l1_group_1(sK156)
| v1_group_3(k5_group_2(sK156),sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37766]) ).
fof(f37766,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v1_group_3(k5_group_2(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37370]) ).
fof(f37370,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ( v4_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) ) ),
inference(flattening,[],[f37369]) ).
fof(f37369,plain,
! [X0] :
( ( v4_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f36697]) ).
fof(f36697,plain,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ( v4_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) ) ),
inference(pure_predicate_removal,[],[f26889]) ).
fof(f26889,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ( v3_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0))
& ~ v3_struct_0(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_6) ).
fof(f41854,plain,
( ~ spl168_96
| ~ spl168_110
| spl168_136
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41850,f38983,f38978,f38973,f38958,f41852,f41348,f41114]) ).
fof(f41852,plain,
( spl168_136
<=> ! [X620] :
( sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X620)),sK156)
| m1_subset_1(sK165(sK156,X620),u1_struct_0(sK156))
| ~ m1_subset_1(X620,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_136])]) ).
fof(f41850,plain,
( ! [X620] :
( sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X620)),sK156)
| ~ v6_group_1(sK156)
| ~ m1_subset_1(X620,u1_struct_0(sK156))
| m1_subset_1(sK165(sK156,X620),u1_struct_0(sK156))
| ~ v1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41849,f38975]) ).
fof(f41849,plain,
( ! [X620] :
( m1_subset_1(sK165(sK156,X620),u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| ~ v1_group_1(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X620)),sK156)
| ~ m1_subset_1(X620,u1_struct_0(sK156))
| ~ v6_group_1(sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41848,f38985]) ).
fof(f41848,plain,
( ! [X620] :
( ~ m1_subset_1(X620,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X620)),sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| m1_subset_1(sK165(sK156,X620),u1_struct_0(sK156)) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f41022,f38980]) ).
fof(f41022,plain,
( ! [X620] :
( ~ v6_group_1(sK156)
| m1_subset_1(sK165(sK156,X620),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ m1_subset_1(X620,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X620)),sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38934]) ).
fof(f38934,plain,
! [X0,X1] :
( ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(X0)
| m1_subset_1(sK165(X0,X1),u1_struct_0(X0)) ),
inference(equality_proxy_replacement,[],[f38399,f38579]) ).
fof(f38399,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) = X0
| m1_subset_1(sK165(X0,X1),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37324]) ).
fof(f41841,plain,
( ~ spl168_96
| spl168_135
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41837,f38983,f38978,f38973,f38958,f41839,f41114]) ).
fof(f41839,plain,
( spl168_135
<=> ! [X452,X453] :
( ~ m1_subset_1(X453,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X452)),sK156)
| ~ m1_subset_1(X452,u1_struct_0(sK156))
| v1_int_1(sK33(sK156,X452,X453)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_135])]) ).
fof(f41837,plain,
( ! [X453,X452] :
( ~ m1_subset_1(X453,u1_struct_0(sK156))
| ~ m1_subset_1(X452,u1_struct_0(sK156))
| v1_int_1(sK33(sK156,X452,X453))
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X452)),sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41836,f38980]) ).
fof(f41836,plain,
( ! [X453,X452] :
( ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X452)),sK156)
| ~ m1_subset_1(X453,u1_struct_0(sK156))
| v3_struct_0(sK156)
| v1_int_1(sK33(sK156,X452,X453))
| ~ m1_subset_1(X452,u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41835,f38975]) ).
fof(f41835,plain,
( ! [X453,X452] :
( ~ m1_subset_1(X452,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X452)),sK156)
| v1_int_1(sK33(sK156,X452,X453))
| ~ m1_subset_1(X453,u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ v1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40941,f38985]) ).
fof(f40941,plain,
( ! [X453,X452] :
( ~ m1_subset_1(X453,u1_struct_0(sK156))
| v1_int_1(sK33(sK156,X452,X453))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X452)),sK156)
| ~ l1_group_1(sK156)
| ~ m1_subset_1(X452,u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ v1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38683]) ).
fof(f38683,plain,
! [X2,X0,X1] :
( v1_int_1(sK33(X0,X1,X2))
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(equality_proxy_replacement,[],[f37680,f38579]) ).
fof(f37680,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v1_int_1(sK33(X0,X1,X2))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36726]) ).
fof(f41820,plain,
( ~ spl168_99
| spl168_134
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41816,f38983,f38978,f38973,f38958,f41818,f41140]) ).
fof(f41816,plain,
( ! [X518,X520,X519] :
( ~ r1_rlvect_1(k8_group_4(sK156,X520,X518),X519)
| ~ v7_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X519,sK156,X520,X518),sK100(X519,sK156,X520,X518)),X519)
| ~ m1_group_2(X518,sK156)
| ~ m1_group_2(X520,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41815,f38985]) ).
fof(f41815,plain,
( ! [X518,X520,X519] :
( ~ m1_group_2(X518,sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X520,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X520,X518),X519)
| ~ v7_group_1(sK156)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X519,sK156,X520,X518),sK100(X519,sK156,X520,X518)),X519) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41814,f38980]) ).
fof(f41814,plain,
( ! [X518,X520,X519] :
( ~ v7_group_1(sK156)
| v3_struct_0(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X520,X518),X519)
| sQ167_eqProxy(k1_group_1(sK156,sK99(X519,sK156,X520,X518),sK100(X519,sK156,X520,X518)),X519)
| ~ m1_group_2(X520,sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X518,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40973,f38975]) ).
fof(f40973,plain,
( ! [X518,X520,X519] :
( sQ167_eqProxy(k1_group_1(sK156,sK99(X519,sK156,X520,X518),sK100(X519,sK156,X520,X518)),X519)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X520,X518),X519)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X520,sK156)
| ~ m1_group_2(X518,sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38810]) ).
fof(f41813,plain,
( spl168_93
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41812,f38983,f38978,f38973,f38958,f41049]) ).
fof(f41049,plain,
( spl168_93
<=> ! [X229] :
( r1_group_2(sK156,X229,X229)
| ~ v1_group_1(X229)
| ~ m1_group_2(X229,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_93])]) ).
fof(f41812,plain,
( ! [X633] :
( ~ m1_group_2(X633,sK156)
| r1_group_2(sK156,X633,X633)
| ~ v1_group_1(X633) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41811,f38980]) ).
fof(f41811,plain,
( ! [X633] :
( ~ m1_group_2(X633,sK156)
| ~ v1_group_1(X633)
| v3_struct_0(sK156)
| r1_group_2(sK156,X633,X633) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41810,f38985]) ).
fof(f41810,plain,
( ! [X633] :
( ~ v1_group_1(X633)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X633,sK156)
| r1_group_2(sK156,X633,X633)
| v3_struct_0(sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f41030,f38975]) ).
fof(f41030,plain,
( ! [X633] :
( ~ v4_group_1(sK156)
| r1_group_2(sK156,X633,X633)
| v3_struct_0(sK156)
| ~ m1_group_2(X633,sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(X633) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38946]) ).
fof(f38946,plain,
! [X2,X1] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| r1_group_2(X1,X2,X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(duplicate_literal_removal,[],[f38494]) ).
fof(f38494,plain,
! [X2,X1] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| r1_group_2(X1,X2,X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2) ),
inference(equality_resolution,[],[f37481]) ).
fof(f37481,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X0)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1)
| X0 != X2
| r1_group_2(X1,X0,X2) ),
inference(cnf_transformation,[],[f36917]) ).
fof(f36917,plain,
! [X2,X0,X1] :
( ( r1_group_2(X1,X0,X2)
<=> X0 = X2 )
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2) ),
inference(flattening,[],[f36916]) ).
fof(f36916,plain,
! [X1,X2,X0] :
( ( r1_group_2(X1,X0,X2)
<=> X0 = X2 )
| ~ v1_group_1(X0)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f36590]) ).
fof(f36590,plain,
! [X1,X2,X0] :
( ( v1_group_1(X0)
& v1_group_1(X2)
& l1_group_1(X1)
& m1_group_2(X0,X1)
& v3_group_1(X1)
& v4_group_1(X1)
& m1_group_2(X2,X1)
& ~ v3_struct_0(X1) )
=> ( r1_group_2(X1,X0,X2)
<=> X0 = X2 ) ),
inference(rectify,[],[f22011]) ).
fof(f22011,axiom,
! [X1,X0,X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X1)
& v4_group_1(X0)
& v1_group_1(X2)
& m1_group_2(X1,X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f41799,plain,
( spl168_103
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41798,f38983,f38978,f38973,f38958,f41187]) ).
fof(f41187,plain,
( spl168_103
<=> v1_group_1(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_103])]) ).
fof(f41798,plain,
( v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41797,f38980]) ).
fof(f41797,plain,
( v1_group_1(k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41796,f38985]) ).
fof(f41796,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40748,f38975]) ).
fof(f40748,plain,
( ~ v4_group_1(sK156)
| v1_group_1(k5_group_2(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37767]) ).
fof(f37767,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v1_group_1(k5_group_2(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37370]) ).
fof(f41792,plain,
( ~ spl168_96
| ~ spl168_110
| spl168_133
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41788,f38983,f38978,f38973,f38958,f41790,f41348,f41114]) ).
fof(f41790,plain,
( spl168_133
<=> ! [X623,X624] :
( ~ m1_subset_1(X623,u1_struct_0(sK156))
| m2_subset_1(sK166(sK156,X623,X624),k1_numbers,k5_numbers)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X623)),sK156)
| ~ m1_subset_1(X624,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_133])]) ).
fof(f41788,plain,
( ! [X624,X623] :
( ~ m1_subset_1(X623,u1_struct_0(sK156))
| ~ m1_subset_1(X624,u1_struct_0(sK156))
| ~ v6_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X623)),sK156)
| ~ v1_group_1(sK156)
| m2_subset_1(sK166(sK156,X623,X624),k1_numbers,k5_numbers) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41787,f38975]) ).
fof(f41787,plain,
( ! [X624,X623] :
( ~ m1_subset_1(X623,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X623)),sK156)
| ~ m1_subset_1(X624,u1_struct_0(sK156))
| ~ v6_group_1(sK156)
| ~ v1_group_1(sK156)
| m2_subset_1(sK166(sK156,X623,X624),k1_numbers,k5_numbers)
| ~ v4_group_1(sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41786,f38985]) ).
fof(f41786,plain,
( ! [X624,X623] :
( ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X623)),sK156)
| m2_subset_1(sK166(sK156,X623,X624),k1_numbers,k5_numbers)
| ~ l1_group_1(sK156)
| ~ m1_subset_1(X624,u1_struct_0(sK156))
| ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X623,u1_struct_0(sK156))
| ~ v1_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f41024,f38980]) ).
fof(f41024,plain,
( ! [X624,X623] :
( m2_subset_1(sK166(sK156,X623,X624),k1_numbers,k5_numbers)
| ~ m1_subset_1(X623,u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X624,u1_struct_0(sK156))
| ~ l1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X623)),sK156)
| ~ v6_group_1(sK156)
| ~ v1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38936]) ).
fof(f38936,plain,
! [X2,X0,X1] :
( m2_subset_1(sK166(X0,X1,X2),k1_numbers,k5_numbers)
| ~ v1_group_1(X0)
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(equality_proxy_replacement,[],[f38397,f38579]) ).
fof(f38397,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| m2_subset_1(sK166(X0,X1,X2),k1_numbers,k5_numbers)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37324]) ).
fof(f41782,plain,
( spl168_132
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41777,f38983,f38978,f38973,f38958,f41779]) ).
fof(f41779,plain,
( spl168_132
<=> sQ167_eqProxy(k5_group_2(sK156),k5_lattices(k11_group_4(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_132])]) ).
fof(f41777,plain,
( sQ167_eqProxy(k5_group_2(sK156),k5_lattices(k11_group_4(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41776,f38985]) ).
fof(f41776,plain,
( sQ167_eqProxy(k5_group_2(sK156),k5_lattices(k11_group_4(sK156)))
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41775,f38975]) ).
fof(f41775,plain,
( ~ v4_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK156),k5_lattices(k11_group_4(sK156)))
| ~ l1_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40950,f38980]) ).
fof(f40950,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK156),k5_lattices(k11_group_4(sK156)))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38740]) ).
fof(f38740,plain,
! [X0] :
( sQ167_eqProxy(k5_group_2(X0),k5_lattices(k11_group_4(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37847,f38579]) ).
fof(f37847,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| k5_group_2(X0) = k5_lattices(k11_group_4(X0))
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37120]) ).
fof(f37120,plain,
! [X0] :
( ~ v3_group_1(X0)
| k5_group_2(X0) = k5_lattices(k11_group_4(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f37119]) ).
fof(f37119,plain,
! [X0] :
( k5_group_2(X0) = k5_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f22993]) ).
fof(f22993,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> k5_group_2(X0) = k5_lattices(k11_group_4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_group_4) ).
fof(f41765,plain,
( spl168_131
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41760,f38983,f38978,f38973,f38958,f41762]) ).
fof(f41762,plain,
( spl168_131
<=> v1_group_6(k6_partfun1(u1_struct_0(sK156)),sK156,sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_131])]) ).
fof(f41760,plain,
( v1_group_6(k6_partfun1(u1_struct_0(sK156)),sK156,sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41759,f38975]) ).
fof(f41759,plain,
( v1_group_6(k6_partfun1(u1_struct_0(sK156)),sK156,sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41758,f38985]) ).
fof(f41758,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| v1_group_6(k6_partfun1(u1_struct_0(sK156)),sK156,sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40708,f38980]) ).
fof(f40708,plain,
( v3_struct_0(sK156)
| v1_group_6(k6_partfun1(u1_struct_0(sK156)),sK156,sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37631]) ).
fof(f37631,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0) ),
inference(cnf_transformation,[],[f37183]) ).
fof(f37183,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ( v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0)))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0) ),
inference(flattening,[],[f37182]) ).
fof(f37182,plain,
! [X0] :
( ( v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0)))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26949]) ).
fof(f26949,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0)))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_group_6) ).
fof(f41739,plain,
( spl168_103
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41738,f38983,f38978,f38973,f38958,f41187]) ).
fof(f41738,plain,
( v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41737,f38980]) ).
fof(f41737,plain,
( v1_group_1(k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41736,f38975]) ).
fof(f41736,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40819,f38985]) ).
fof(f40819,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| v1_group_1(k5_group_2(sK156))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38170]) ).
fof(f38170,plain,
! [X0] :
( v1_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37028]) ).
fof(f41719,plain,
( ~ spl168_96
| ~ spl168_110
| spl168_130
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41715,f38983,f38978,f38973,f38958,f41717,f41348,f41114]) ).
fof(f41717,plain,
( spl168_130
<=> ! [X381,X380] :
( m2_subset_1(sK18(sK156,X380,X381),k1_numbers,k5_numbers)
| ~ m1_group_2(X381,sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X380)),sK156)
| ~ m1_subset_1(X380,u1_struct_0(sK156))
| ~ v1_group_1(X381) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_130])]) ).
fof(f41715,plain,
( ! [X381,X380] :
( m2_subset_1(sK18(sK156,X380,X381),k1_numbers,k5_numbers)
| ~ v1_group_1(X381)
| ~ m1_subset_1(X380,u1_struct_0(sK156))
| ~ v6_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X380)),sK156)
| ~ v1_group_1(sK156)
| ~ m1_group_2(X381,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41714,f38985]) ).
fof(f41714,plain,
( ! [X381,X380] :
( ~ m1_group_2(X381,sK156)
| ~ v1_group_1(X381)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X380)),sK156)
| ~ v6_group_1(sK156)
| ~ m1_subset_1(X380,u1_struct_0(sK156))
| m2_subset_1(sK18(sK156,X380,X381),k1_numbers,k5_numbers)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41713,f38975]) ).
fof(f41713,plain,
( ! [X381,X380] :
( ~ v1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ v6_group_1(sK156)
| m2_subset_1(sK18(sK156,X380,X381),k1_numbers,k5_numbers)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X380)),sK156)
| ~ m1_group_2(X381,sK156)
| ~ m1_subset_1(X380,u1_struct_0(sK156))
| ~ v1_group_1(X381)
| ~ l1_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40905,f38980]) ).
fof(f40905,plain,
( ! [X381,X380] :
( v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| ~ v1_group_1(X381)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X380)),sK156)
| m2_subset_1(sK18(sK156,X380,X381),k1_numbers,k5_numbers)
| ~ v4_group_1(sK156)
| ~ m1_group_2(X381,sK156)
| ~ m1_subset_1(X380,u1_struct_0(sK156)) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38620]) ).
fof(f38620,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| m2_subset_1(sK18(X0,X1,X2),k1_numbers,k5_numbers)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_group_1(X0)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37547,f38579]) ).
fof(f37547,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ v6_group_1(X0)
| m2_subset_1(sK18(X0,X1,X2),k1_numbers,k5_numbers)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ),
inference(cnf_transformation,[],[f36990]) ).
fof(f36990,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ? [X3] :
( r1_group_2(X0,X2,k5_group_4(X0,k1_struct_0(X0,k6_group_1(X0,X3,X1))))
& m2_subset_1(X3,k1_numbers,k5_numbers) ) )
| ~ v6_group_1(X0)
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f36989]) ).
fof(f36989,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( r1_group_2(X0,X2,k5_group_4(X0,k1_struct_0(X0,k6_group_1(X0,X3,X1))))
& m2_subset_1(X3,k1_numbers,k5_numbers) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f29008]) ).
fof(f29008,axiom,
! [X0] :
( ( v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ( k5_group_4(X0,k1_struct_0(X0,X1)) = X0
& v6_group_1(X0) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ? [X3] :
( r1_group_2(X0,X2,k5_group_4(X0,k1_struct_0(X0,k6_group_1(X0,X3,X1))))
& m2_subset_1(X3,k1_numbers,k5_numbers) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_gr_cy_2) ).
fof(f41706,plain,
( spl168_129
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41701,f38983,f38978,f38973,f38958,f41703]) ).
fof(f41703,plain,
( spl168_129
<=> sQ167_eqProxy(k1_group_3(sK156),u1_struct_0(k11_group_4(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_129])]) ).
fof(f41701,plain,
( sQ167_eqProxy(k1_group_3(sK156),u1_struct_0(k11_group_4(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41700,f38975]) ).
fof(f41700,plain,
( sQ167_eqProxy(k1_group_3(sK156),u1_struct_0(k11_group_4(sK156)))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41699,f38980]) ).
fof(f41699,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k1_group_3(sK156),u1_struct_0(k11_group_4(sK156)))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40974,f38985]) ).
fof(f40974,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| sQ167_eqProxy(k1_group_3(sK156),u1_struct_0(k11_group_4(sK156)))
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38815]) ).
fof(f38815,plain,
! [X0] :
( ~ l1_group_1(X0)
| sQ167_eqProxy(k1_group_3(X0),u1_struct_0(k11_group_4(X0)))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_proxy_replacement,[],[f38045,f38579]) ).
fof(f38045,plain,
! [X0] :
( k1_group_3(X0) = u1_struct_0(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37220]) ).
fof(f37220,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| k1_group_3(X0) = u1_struct_0(k11_group_4(X0)) ),
inference(flattening,[],[f37219]) ).
fof(f37219,plain,
! [X0] :
( k1_group_3(X0) = u1_struct_0(k11_group_4(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f22987]) ).
fof(f22987,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> k1_group_3(X0) = u1_struct_0(k11_group_4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_group_4) ).
fof(f41698,plain,
( ~ spl168_110
| spl168_128
| ~ spl168_96
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41694,f38983,f38978,f38973,f38958,f41114,f41696,f41348]) ).
fof(f41696,plain,
( spl168_128
<=> ! [X379,X378] :
( ~ v1_group_1(X379)
| ~ m1_group_2(X379,sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X378)),sK156)
| r1_group_2(sK156,X379,k5_group_4(sK156,k1_struct_0(sK156,k6_group_1(sK156,sK18(sK156,X378,X379),X378))))
| ~ m1_subset_1(X378,u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_128])]) ).
fof(f41694,plain,
( ! [X379,X378] :
( ~ v1_group_1(sK156)
| ~ v1_group_1(X379)
| ~ m1_subset_1(X378,u1_struct_0(sK156))
| r1_group_2(sK156,X379,k5_group_4(sK156,k1_struct_0(sK156,k6_group_1(sK156,sK18(sK156,X378,X379),X378))))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X378)),sK156)
| ~ m1_group_2(X379,sK156)
| ~ v6_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41693,f38975]) ).
fof(f41693,plain,
( ! [X379,X378] :
( ~ m1_group_2(X379,sK156)
| ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X378,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X378)),sK156)
| r1_group_2(sK156,X379,k5_group_4(sK156,k1_struct_0(sK156,k6_group_1(sK156,sK18(sK156,X378,X379),X378))))
| ~ v1_group_1(X379) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41692,f38980]) ).
fof(f41692,plain,
( ! [X379,X378] :
( v3_struct_0(sK156)
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X378)),sK156)
| r1_group_2(sK156,X379,k5_group_4(sK156,k1_struct_0(sK156,k6_group_1(sK156,sK18(sK156,X378,X379),X378))))
| ~ m1_subset_1(X378,u1_struct_0(sK156))
| ~ m1_group_2(X379,sK156)
| ~ v1_group_1(X379) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40904,f38985]) ).
fof(f40904,plain,
( ! [X379,X378] :
( ~ l1_group_1(sK156)
| ~ m1_subset_1(X378,u1_struct_0(sK156))
| ~ v1_group_1(X379)
| ~ v4_group_1(sK156)
| r1_group_2(sK156,X379,k5_group_4(sK156,k1_struct_0(sK156,k6_group_1(sK156,sK18(sK156,X378,X379),X378))))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X378)),sK156)
| ~ m1_group_2(X379,sK156)
| ~ v1_group_1(sK156)
| ~ v6_group_1(sK156)
| v3_struct_0(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38619]) ).
fof(f38619,plain,
! [X2,X0,X1] :
( ~ v6_group_1(X0)
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X2)
| r1_group_2(X0,X2,k5_group_4(X0,k1_struct_0(X0,k6_group_1(X0,sK18(X0,X1,X2),X1))))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X2,X0) ),
inference(equality_proxy_replacement,[],[f37548,f38579]) ).
fof(f37548,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| ~ v6_group_1(X0)
| r1_group_2(X0,X2,k5_group_4(X0,k1_struct_0(X0,k6_group_1(X0,sK18(X0,X1,X2),X1))))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ),
inference(cnf_transformation,[],[f36990]) ).
fof(f41688,plain,
( spl168_127
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41683,f38983,f38978,f38973,f38958,f41685]) ).
fof(f41683,plain,
( v10_lattices(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41682,f38975]) ).
fof(f41682,plain,
( v10_lattices(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41681,f38985]) ).
fof(f41681,plain,
( ~ l1_group_1(sK156)
| v10_lattices(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40690,f38980]) ).
fof(f40690,plain,
( v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| v10_lattices(k11_group_4(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37447]) ).
fof(f37447,plain,
! [X0] :
( v10_lattices(k11_group_4(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37240]) ).
fof(f41615,plain,
( ~ spl168_126
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41610,f38983,f38978,f38973,f38958,f41612]) ).
fof(f41612,plain,
( spl168_126
<=> v3_struct_0(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_126])]) ).
fof(f41610,plain,
( ~ v3_struct_0(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41609,f38980]) ).
fof(f41609,plain,
( ~ v3_struct_0(k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41608,f38975]) ).
fof(f41608,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ v3_struct_0(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40749,f38985]) ).
fof(f40749,plain,
( ~ v3_struct_0(k5_group_2(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37768]) ).
fof(f37768,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_struct_0(k5_group_2(X0)) ),
inference(cnf_transformation,[],[f37370]) ).
fof(f41607,plain,
( spl168_125
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41602,f38983,f38978,f38973,f38958,f41604]) ).
fof(f41604,plain,
( spl168_125
<=> r1_rlvect_1(k5_group_2(sK156),k2_group_1(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_125])]) ).
fof(f41602,plain,
( r1_rlvect_1(k5_group_2(sK156),k2_group_1(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41601,f38980]) ).
fof(f41601,plain,
( v3_struct_0(sK156)
| r1_rlvect_1(k5_group_2(sK156),k2_group_1(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41600,f38975]) ).
fof(f41600,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| r1_rlvect_1(k5_group_2(sK156),k2_group_1(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40887,f38985]) ).
fof(f40887,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| r1_rlvect_1(k5_group_2(sK156),k2_group_1(sK156))
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38560]) ).
fof(f38560,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r1_rlvect_1(k5_group_2(X0),k2_group_1(X0))
| ~ v4_group_1(X0) ),
inference(equality_resolution,[],[f38240]) ).
fof(f38240,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| r1_rlvect_1(k5_group_2(X0),X1)
| k2_group_1(X0) != X1
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36864]) ).
fof(f36864,plain,
! [X1,X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ( k2_group_1(X0) = X1
<=> r1_rlvect_1(k5_group_2(X0),X1) )
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36863]) ).
fof(f36863,plain,
! [X0,X1] :
( ( k2_group_1(X0) = X1
<=> r1_rlvect_1(k5_group_2(X0),X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36549]) ).
fof(f36549,plain,
! [X0,X1] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( k2_group_1(X0) = X1
<=> r1_rlvect_1(k5_group_2(X0),X1) ) ),
inference(rectify,[],[f25585]) ).
fof(f25585,axiom,
! [X1,X0] :
( ( v3_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1) )
=> ( k2_group_1(X1) = X0
<=> r1_rlvect_1(k5_group_2(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_group_5) ).
fof(f41587,plain,
( spl168_124
| ~ spl168_96
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41583,f38983,f38978,f38973,f38958,f41114,f41585]) ).
fof(f41585,plain,
( spl168_124
<=> ! [X451,X450] :
( ~ v1_int_1(X450)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X451)),sK156)
| ~ m1_subset_1(X451,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k6_group_1(sK156,X450,X451),sK32(sK156,X451)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_124])]) ).
fof(f41583,plain,
( ! [X451,X450] :
( ~ v1_group_1(sK156)
| ~ v1_int_1(X450)
| ~ sQ167_eqProxy(k6_group_1(sK156,X450,X451),sK32(sK156,X451))
| ~ m1_subset_1(X451,u1_struct_0(sK156))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X451)),sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41582,f38980]) ).
fof(f41582,plain,
( ! [X451,X450] :
( ~ m1_subset_1(X451,u1_struct_0(sK156))
| ~ v1_int_1(X450)
| ~ sQ167_eqProxy(k6_group_1(sK156,X450,X451),sK32(sK156,X451))
| v3_struct_0(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X451)),sK156)
| ~ v1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41581,f38975]) ).
fof(f41581,plain,
( ! [X451,X450] :
( ~ v4_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k6_group_1(sK156,X450,X451),sK32(sK156,X451))
| ~ v1_int_1(X450)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X451)),sK156)
| ~ m1_subset_1(X451,u1_struct_0(sK156))
| v3_struct_0(sK156) )
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40940,f38985]) ).
fof(f40940,plain,
( ! [X451,X450] :
( ~ v1_int_1(X450)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X451)),sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ sQ167_eqProxy(k6_group_1(sK156,X450,X451),sK32(sK156,X451))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ m1_subset_1(X451,u1_struct_0(sK156)) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38682]) ).
fof(f38682,plain,
! [X3,X0,X1] :
( ~ v4_group_1(X0)
| ~ sQ167_eqProxy(k6_group_1(X0,X3,X1),sK32(X0,X1))
| ~ v1_int_1(X3)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0) ),
inference(equality_proxy_replacement,[],[f37681,f38579,f38579]) ).
fof(f37681,plain,
! [X3,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) = X0
| k6_group_1(X0,X3,X1) != sK32(X0,X1)
| ~ v1_int_1(X3)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36726]) ).
fof(f41571,plain,
( spl168_123
| ~ spl168_99
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41567,f38983,f38978,f38973,f38958,f41140,f41569]) ).
fof(f41567,plain,
( ! [X162,X160,X161] :
( ~ v7_group_1(sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ m1_group_2(X160,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| ~ m1_group_2(X161,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41566,f38980]) ).
fof(f41566,plain,
( ! [X162,X160,X161] :
( v3_struct_0(sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ v7_group_1(sK156)
| ~ m1_group_2(X160,sK156)
| ~ m1_group_2(X161,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41565,f38985]) ).
fof(f41565,plain,
( ! [X162,X160,X161] :
( ~ l1_group_1(sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| v3_struct_0(sK156)
| ~ m1_group_2(X161,sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162)
| ~ m1_group_2(X160,sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40791,f38975]) ).
fof(f40791,plain,
( ! [X162,X160,X161] :
( ~ m1_group_2(X160,sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X161,sK156)
| r1_rlvect_1(X161,sK100(X162,sK156,X160,X161))
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X160,X161),X162) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38029]) ).
fof(f41561,plain,
( spl168_122
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41556,f38983,f38978,f38973,f38958,f41558]) ).
fof(f41558,plain,
( spl168_122
<=> sQ167_eqProxy(k2_group_1(sK156),k3_group_1(sK156,k2_group_1(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_122])]) ).
fof(f41556,plain,
( sQ167_eqProxy(k2_group_1(sK156),k3_group_1(sK156,k2_group_1(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41555,f38975]) ).
fof(f41555,plain,
( ~ v4_group_1(sK156)
| sQ167_eqProxy(k2_group_1(sK156),k3_group_1(sK156,k2_group_1(sK156)))
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41554,f38980]) ).
fof(f41554,plain,
( sQ167_eqProxy(k2_group_1(sK156),k3_group_1(sK156,k2_group_1(sK156)))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40949,f38985]) ).
fof(f40949,plain,
( ~ l1_group_1(sK156)
| sQ167_eqProxy(k2_group_1(sK156),k3_group_1(sK156,k2_group_1(sK156)))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38736]) ).
fof(f38736,plain,
! [X0] :
( v3_struct_0(X0)
| sQ167_eqProxy(k2_group_1(X0),k3_group_1(X0,k2_group_1(X0)))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37829,f38579]) ).
fof(f37829,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f36838]) ).
fof(f36838,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f36837]) ).
fof(f36837,plain,
! [X0] :
( k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0))
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f18897]) ).
fof(f18897,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_group_1) ).
fof(f41523,plain,
( ~ spl168_121
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41518,f38983,f38978,f38973,f38958,f41520]) ).
fof(f41518,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41517,f38980]) ).
fof(f41517,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41516,f38975]) ).
fof(f41516,plain,
( ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ v3_struct_0(k11_group_4(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40772,f38985]) ).
fof(f40772,plain,
( ~ v3_struct_0(k11_group_4(sK156))
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37960]) ).
fof(f37960,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k11_group_4(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36885]) ).
fof(f41482,plain,
( spl168_120
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41477,f38983,f38978,f38973,f38958,f41479]) ).
fof(f41477,plain,
( m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41476,f38985]) ).
fof(f41476,plain,
( ~ l1_group_1(sK156)
| m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41475,f38980]) ).
fof(f41475,plain,
( m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40862,f38975]) ).
fof(f40862,plain,
( m2_relset_1(k1_latsubgr(sK156),k1_group_3(sK156),k1_zfmisc_1(u1_struct_0(sK156)))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38359]) ).
fof(f38359,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37114]) ).
fof(f41468,plain,
( spl168_119
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41463,f38983,f38978,f38958,f41465]) ).
fof(f41465,plain,
( spl168_119
<=> m1_subset_1(sK144(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_119])]) ).
fof(f41463,plain,
( m1_subset_1(sK144(sK156),u1_struct_0(sK156))
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41462,f38980]) ).
fof(f41462,plain,
( m1_subset_1(sK144(sK156),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40839,f38985]) ).
fof(f40839,plain,
( ~ l1_group_1(sK156)
| m1_subset_1(sK144(sK156),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38261]) ).
fof(f41452,plain,
( spl168_118
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41447,f38983,f38978,f38973,f38958,f41449]) ).
fof(f41449,plain,
( spl168_118
<=> v4_group_1(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_118])]) ).
fof(f41447,plain,
( v4_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41446,f38975]) ).
fof(f41446,plain,
( v4_group_1(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41445,f38980]) ).
fof(f41445,plain,
( v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| v4_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40751,f38985]) ).
fof(f40751,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| v4_group_1(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37770]) ).
fof(f37770,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v4_group_1(k5_group_2(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37370]) ).
fof(f41409,plain,
( ~ spl168_96
| spl168_116
| ~ spl168_117
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41400,f38983,f38978,f38973,f38958,f41406,f41402,f41114]) ).
fof(f41402,plain,
( spl168_116
<=> sQ167_eqProxy(k5_group_2(sK156),sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_116])]) ).
fof(f41400,plain,
( ~ v3_realset2(sK156)
| sQ167_eqProxy(k5_group_2(sK156),sK156)
| ~ v1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41399,f38975]) ).
fof(f41399,plain,
( ~ v3_realset2(sK156)
| ~ v1_group_1(sK156)
| ~ v4_group_1(sK156)
| sQ167_eqProxy(k5_group_2(sK156),sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41398,f38985]) ).
fof(f41398,plain,
( ~ v3_realset2(sK156)
| sQ167_eqProxy(k5_group_2(sK156),sK156)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40936,f38980]) ).
fof(f40936,plain,
( ~ v1_group_1(sK156)
| ~ v3_realset2(sK156)
| v3_struct_0(sK156)
| sQ167_eqProxy(k5_group_2(sK156),sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38673]) ).
fof(f38673,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_realset2(X0)
| ~ v4_group_1(X0)
| sQ167_eqProxy(k5_group_2(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37655,f38579]) ).
fof(f37655,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k5_group_2(X0) = X0
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37252]) ).
fof(f37252,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_realset2(X0)
| v3_struct_0(X0)
| k5_group_2(X0) = X0
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37251]) ).
fof(f37251,plain,
! [X0] :
( k5_group_2(X0) = X0
| ~ v3_realset2(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f26910]) ).
fof(f26910,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ( v3_realset2(X0)
=> k5_group_2(X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_group_6) ).
fof(f41395,plain,
( spl168_115
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41390,f38983,f38978,f38973,f38958,f41392]) ).
fof(f41392,plain,
( spl168_115
<=> v3_group_1(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_115])]) ).
fof(f41390,plain,
( v3_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41389,f38980]) ).
fof(f41389,plain,
( v3_struct_0(sK156)
| v3_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41388,f38975]) ).
fof(f41388,plain,
( v3_group_1(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40750,f38985]) ).
fof(f40750,plain,
( ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| v3_group_1(k5_group_2(sK156))
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37769]) ).
fof(f37769,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_group_1(k5_group_2(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37370]) ).
fof(f41387,plain,
( spl168_114
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41382,f38983,f38978,f38973,f38958,f41384]) ).
fof(f41384,plain,
( spl168_114
<=> v1_funct_2(k6_partfun1(u1_struct_0(sK156)),u1_struct_0(sK156),u1_struct_0(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_114])]) ).
fof(f41382,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK156)),u1_struct_0(sK156),u1_struct_0(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41381,f38980]) ).
fof(f41381,plain,
( v3_struct_0(sK156)
| v1_funct_2(k6_partfun1(u1_struct_0(sK156)),u1_struct_0(sK156),u1_struct_0(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41380,f38975]) ).
fof(f41380,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK156)),u1_struct_0(sK156),u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40710,f38985]) ).
fof(f40710,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK156)),u1_struct_0(sK156),u1_struct_0(sK156))
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37633]) ).
fof(f37633,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f37183]) ).
fof(f41377,plain,
( ~ spl168_96
| spl168_113
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41373,f38983,f38978,f38973,f38958,f41375,f41114]) ).
fof(f41375,plain,
( spl168_113
<=> ! [X57,X59,X58] :
( ~ m1_group_2(X58,sK156)
| ~ m1_group_6(X58,sK156,X59)
| ~ m1_group_2(X59,sK156)
| ~ v1_group_1(X57)
| v1_group_3(k9_group_2(sK156,X58,X57),k9_group_2(sK156,X59,X57))
| ~ v1_group_1(X59)
| ~ v1_group_3(X58,X59)
| ~ v1_group_1(X58)
| ~ m1_group_2(X57,sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_113])]) ).
fof(f41373,plain,
( ! [X58,X59,X57] :
( ~ m1_group_2(X58,sK156)
| ~ v1_group_1(sK156)
| ~ m1_group_2(X57,sK156)
| ~ v1_group_1(X58)
| ~ v1_group_3(X58,X59)
| ~ v1_group_1(X59)
| v1_group_3(k9_group_2(sK156,X58,X57),k9_group_2(sK156,X59,X57))
| ~ v1_group_1(X57)
| ~ m1_group_2(X59,sK156)
| ~ m1_group_6(X58,sK156,X59) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41372,f38975]) ).
fof(f41372,plain,
( ! [X58,X59,X57] :
( ~ v4_group_1(sK156)
| ~ v1_group_1(X58)
| ~ m1_group_2(X57,sK156)
| ~ v1_group_1(X57)
| ~ v1_group_3(X58,X59)
| ~ m1_group_2(X59,sK156)
| ~ v1_group_1(X59)
| v1_group_3(k9_group_2(sK156,X58,X57),k9_group_2(sK156,X59,X57))
| ~ m1_group_2(X58,sK156)
| ~ m1_group_6(X58,sK156,X59)
| ~ v1_group_1(sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41371,f38985]) ).
fof(f41371,plain,
( ! [X58,X59,X57] :
( ~ m1_group_2(X57,sK156)
| ~ v1_group_1(X57)
| ~ m1_group_6(X58,sK156,X59)
| ~ m1_group_2(X59,sK156)
| ~ v1_group_3(X58,X59)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| v1_group_3(k9_group_2(sK156,X58,X57),k9_group_2(sK156,X59,X57))
| ~ v1_group_1(X59)
| ~ m1_group_2(X58,sK156)
| ~ v4_group_1(sK156)
| ~ v1_group_1(X58) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40721,f38980]) ).
fof(f40721,plain,
( ! [X58,X59,X57] :
( ~ m1_group_2(X57,sK156)
| v3_struct_0(sK156)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_6(X58,sK156,X59)
| ~ m1_group_2(X58,sK156)
| ~ v1_group_1(X58)
| ~ v1_group_1(X57)
| v1_group_3(k9_group_2(sK156,X58,X57),k9_group_2(sK156,X59,X57))
| ~ v1_group_1(X59)
| ~ v4_group_1(sK156)
| ~ v1_group_3(X58,X59)
| ~ m1_group_2(X59,sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37666]) ).
fof(f37666,plain,
! [X2,X3,X0,X1] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ v1_group_3(X2,X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X3,X0)
| ~ m1_group_2(X1,X0)
| v1_group_3(k9_group_2(X0,X2,X1),k9_group_2(X0,X3,X1))
| ~ m1_group_6(X2,X0,X3)
| ~ v1_group_1(X2) ),
inference(cnf_transformation,[],[f37142]) ).
fof(f37142,plain,
! [X0] :
( ~ v4_group_1(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ v1_group_3(X2,X3)
| ( m1_group_6(k9_group_2(X0,X2,X1),X0,k9_group_2(X0,X3,X1))
& v1_group_3(k9_group_2(X0,X2,X1),k9_group_2(X0,X3,X1)) )
| ~ v1_group_1(X3)
| ~ m1_group_6(X2,X0,X3)
| ~ m1_group_2(X3,X0) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(flattening,[],[f37141]) ).
fof(f37141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( m1_group_6(k9_group_2(X0,X2,X1),X0,k9_group_2(X0,X3,X1))
& v1_group_3(k9_group_2(X0,X2,X1),k9_group_2(X0,X3,X1)) )
| ~ v1_group_3(X2,X3)
| ~ m1_group_6(X2,X0,X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f34583]) ).
fof(f34583,axiom,
! [X0] :
( ( v4_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X0)
& v1_group_1(X3) )
=> ( ( v1_group_3(X2,X3)
& m1_group_6(X2,X0,X3) )
=> ( m1_group_6(k9_group_2(X0,X2,X1),X0,k9_group_2(X0,X3,X1))
& v1_group_3(k9_group_2(X0,X2,X1),k9_group_2(X0,X3,X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_grsolv_1) ).
fof(f41361,plain,
( ~ spl168_99
| spl168_112
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41357,f38983,f38978,f38973,f38958,f41359,f41140]) ).
fof(f41357,plain,
( ! [X155,X156,X154] :
( ~ m1_group_2(X154,sK156)
| ~ v7_group_1(sK156)
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| ~ m1_group_2(X155,sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41356,f38975]) ).
fof(f41356,plain,
( ! [X155,X156,X154] :
( m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| ~ m1_group_2(X154,sK156)
| ~ m1_group_2(X155,sK156)
| ~ v4_group_1(sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41355,f38985]) ).
fof(f41355,plain,
( ! [X155,X156,X154] :
( ~ m1_group_2(X154,sK156)
| ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| ~ m1_group_2(X155,sK156)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40789,f38980]) ).
fof(f40789,plain,
( ! [X155,X156,X154] :
( ~ r1_rlvect_1(k8_group_4(sK156,X154,X155),X156)
| m1_subset_1(sK100(X156,sK156,X154,X155),u1_struct_0(sK156))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ v7_group_1(sK156)
| ~ m1_group_2(X154,sK156)
| ~ m1_group_2(X155,sK156)
| ~ l1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38026]) ).
fof(f41354,plain,
( ~ spl168_96
| ~ spl168_110
| spl168_111
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41346,f38983,f38978,f38973,f38958,f41352,f41348,f41114]) ).
fof(f41352,plain,
( spl168_111
<=> ! [X625,X626] :
( sQ167_eqProxy(k6_group_1(sK156,sK166(sK156,X626,X625),X626),X625)
| ~ m1_subset_1(X626,u1_struct_0(sK156))
| ~ m1_subset_1(X625,u1_struct_0(sK156))
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X626)),sK156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_111])]) ).
fof(f41346,plain,
( ! [X626,X625] :
( sQ167_eqProxy(k6_group_1(sK156,sK166(sK156,X626,X625),X626),X625)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X626)),sK156)
| ~ v6_group_1(sK156)
| ~ m1_subset_1(X625,u1_struct_0(sK156))
| ~ m1_subset_1(X626,u1_struct_0(sK156))
| ~ v1_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41345,f38985]) ).
fof(f41345,plain,
( ! [X626,X625] :
( sQ167_eqProxy(k6_group_1(sK156,sK166(sK156,X626,X625),X626),X625)
| ~ l1_group_1(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X626)),sK156)
| ~ m1_subset_1(X626,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| ~ m1_subset_1(X625,u1_struct_0(sK156))
| ~ v6_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41344,f38975]) ).
fof(f41344,plain,
( ! [X626,X625] :
( ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X626)),sK156)
| sQ167_eqProxy(k6_group_1(sK156,sK166(sK156,X626,X625),X626),X625)
| ~ v6_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ m1_subset_1(X625,u1_struct_0(sK156))
| ~ m1_subset_1(X626,u1_struct_0(sK156))
| ~ l1_group_1(sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f41025,f38980]) ).
fof(f41025,plain,
( ! [X626,X625] :
( ~ v1_group_1(sK156)
| v3_struct_0(sK156)
| ~ sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X626)),sK156)
| ~ m1_subset_1(X625,u1_struct_0(sK156))
| ~ v6_group_1(sK156)
| ~ l1_group_1(sK156)
| sQ167_eqProxy(k6_group_1(sK156,sK166(sK156,X626,X625),X626),X625)
| ~ m1_subset_1(X626,u1_struct_0(sK156))
| ~ v4_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38937]) ).
fof(f38937,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| sQ167_eqProxy(k6_group_1(X0,sK166(X0,X1,X2),X1),X2)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0) ),
inference(equality_proxy_replacement,[],[f38396,f38579,f38579]) ).
fof(f38396,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) != X0
| k6_group_1(X0,sK166(X0,X1,X2),X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37324]) ).
fof(f41334,plain,
( spl168_109
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41329,f38983,f38978,f38973,f38958,f41331]) ).
fof(f41329,plain,
( v1_funct_1(k1_latsubgr(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41328,f38975]) ).
fof(f41328,plain,
( v1_funct_1(k1_latsubgr(sK156))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41327,f38980]) ).
fof(f41327,plain,
( v1_funct_1(k1_latsubgr(sK156))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40860,f38985]) ).
fof(f40860,plain,
( v1_funct_1(k1_latsubgr(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38357]) ).
fof(f38357,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v1_funct_1(k1_latsubgr(X0)) ),
inference(cnf_transformation,[],[f37114]) ).
fof(f41293,plain,
( spl168_108
| ~ spl168_96
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41289,f38983,f38978,f38973,f38958,f41114,f41291]) ).
fof(f41291,plain,
( spl168_108
<=> ! [X449] :
( ~ m1_subset_1(X449,u1_struct_0(sK156))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X449)),sK156)
| m1_subset_1(sK32(sK156,X449),u1_struct_0(sK156)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_108])]) ).
fof(f41289,plain,
( ! [X449] :
( ~ v1_group_1(sK156)
| ~ m1_subset_1(X449,u1_struct_0(sK156))
| m1_subset_1(sK32(sK156,X449),u1_struct_0(sK156))
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X449)),sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41288,f38985]) ).
fof(f41288,plain,
( ! [X449] :
( ~ m1_subset_1(X449,u1_struct_0(sK156))
| ~ v1_group_1(sK156)
| m1_subset_1(sK32(sK156,X449),u1_struct_0(sK156))
| ~ l1_group_1(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X449)),sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41287,f38980]) ).
fof(f41287,plain,
( ! [X449] :
( sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X449)),sK156)
| v3_struct_0(sK156)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156)
| m1_subset_1(sK32(sK156,X449),u1_struct_0(sK156))
| ~ m1_subset_1(X449,u1_struct_0(sK156)) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40939,f38975]) ).
fof(f40939,plain,
( ! [X449] :
( m1_subset_1(sK32(sK156,X449),u1_struct_0(sK156))
| ~ v4_group_1(sK156)
| ~ m1_subset_1(X449,u1_struct_0(sK156))
| v3_struct_0(sK156)
| sQ167_eqProxy(k5_group_4(sK156,k1_struct_0(sK156,X449)),sK156)
| ~ v1_group_1(sK156)
| ~ l1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38681]) ).
fof(f38681,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m1_subset_1(sK32(X0,X1),u1_struct_0(X0))
| sQ167_eqProxy(k5_group_4(X0,k1_struct_0(X0,X1)),X0)
| ~ v4_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37682,f38579]) ).
fof(f37682,plain,
! [X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_group_4(X0,k1_struct_0(X0,X1)) = X0
| m1_subset_1(sK32(X0,X1),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36726]) ).
fof(f41253,plain,
( spl168_107
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41248,f38983,f38978,f38973,f38958,f41250]) ).
fof(f41250,plain,
( spl168_107
<=> v1_funct_1(k6_partfun1(u1_struct_0(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_107])]) ).
fof(f41248,plain,
( v1_funct_1(k6_partfun1(u1_struct_0(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41247,f38975]) ).
fof(f41247,plain,
( v1_funct_1(k6_partfun1(u1_struct_0(sK156)))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41246,f38980]) ).
fof(f41246,plain,
( v3_struct_0(sK156)
| v1_funct_1(k6_partfun1(u1_struct_0(sK156)))
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40709,f38985]) ).
fof(f40709,plain,
( ~ l1_group_1(sK156)
| v1_funct_1(k6_partfun1(u1_struct_0(sK156)))
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37632]) ).
fof(f37632,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v1_funct_1(k6_partfun1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37183]) ).
fof(f41245,plain,
( spl168_106
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41240,f38983,f38978,f38973,f38958,f41242]) ).
fof(f41242,plain,
( spl168_106
<=> m1_group_2(sK156,sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_106])]) ).
fof(f41240,plain,
( m1_group_2(sK156,sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41239,f38975]) ).
fof(f41239,plain,
( ~ v4_group_1(sK156)
| m1_group_2(sK156,sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41238,f38980]) ).
fof(f41238,plain,
( v3_struct_0(sK156)
| m1_group_2(sK156,sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40795,f38985]) ).
fof(f40795,plain,
( ~ l1_group_1(sK156)
| ~ v4_group_1(sK156)
| m1_group_2(sK156,sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38082]) ).
fof(f38082,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| m1_group_2(X0,X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f36870]) ).
fof(f36870,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| m1_group_2(X0,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f36869]) ).
fof(f36869,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f21874]) ).
fof(f21874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
fof(f41202,plain,
( spl168_105
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41197,f38983,f38978,f38973,f38958,f41199]) ).
fof(f41199,plain,
( spl168_105
<=> v3_realset2(k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_105])]) ).
fof(f41197,plain,
( v3_realset2(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41196,f38980]) ).
fof(f41196,plain,
( v3_struct_0(sK156)
| v3_realset2(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41195,f38975]) ).
fof(f41195,plain,
( v3_realset2(k5_group_2(sK156))
| ~ v4_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40829,f38985]) ).
fof(f40829,plain,
( v3_realset2(k5_group_2(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38221]) ).
fof(f38221,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| v3_realset2(k5_group_2(X0)) ),
inference(cnf_transformation,[],[f37188]) ).
fof(f37188,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| v3_realset2(k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37187]) ).
fof(f37187,plain,
! [X0] :
( v3_realset2(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26908]) ).
fof(f26908,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> v3_realset2(k5_group_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_group_6) ).
fof(f41194,plain,
( spl168_102
| ~ spl168_103
| ~ spl168_104
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41181,f38983,f38978,f38973,f38958,f41191,f41187,f41183]) ).
fof(f41183,plain,
( spl168_102
<=> sQ167_eqProxy(k6_domain_1(u1_struct_0(sK156),k2_group_1(sK156)),u1_struct_0(k5_group_2(sK156))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_102])]) ).
fof(f41181,plain,
( ~ m1_group_2(k5_group_2(sK156),sK156)
| ~ v1_group_1(k5_group_2(sK156))
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK156),k2_group_1(sK156)),u1_struct_0(k5_group_2(sK156)))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41180,f38985]) ).
fof(f41180,plain,
( ~ l1_group_1(sK156)
| ~ m1_group_2(k5_group_2(sK156),sK156)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK156),k2_group_1(sK156)),u1_struct_0(k5_group_2(sK156)))
| ~ v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41179,f38975]) ).
fof(f41179,plain,
( ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(k5_group_2(sK156),sK156)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK156),k2_group_1(sK156)),u1_struct_0(k5_group_2(sK156)))
| ~ v1_group_1(k5_group_2(sK156))
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40908,f38980]) ).
fof(f40908,plain,
( ~ m1_group_2(k5_group_2(sK156),sK156)
| v3_struct_0(sK156)
| ~ v1_group_1(k5_group_2(sK156))
| ~ l1_group_1(sK156)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK156),k2_group_1(sK156)),u1_struct_0(k5_group_2(sK156)))
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38631]) ).
fof(f38631,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(X0),k2_group_1(X0)),u1_struct_0(k5_group_2(X0))) ),
inference(equality_proxy_replacement,[],[f38512,f38579]) ).
fof(f38512,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v1_group_1(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f37569]) ).
fof(f37569,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| k5_group_2(X0) != X1
| u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f36965]) ).
fof(f36965,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
<=> k5_group_2(X0) = X1 )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f36964]) ).
fof(f36964,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
<=> k5_group_2(X0) = X1 )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21884]) ).
fof(f21884,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
<=> k5_group_2(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_group_2) ).
fof(f41169,plain,
( ~ spl168_96
| spl168_101
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41164,f38983,f38978,f38973,f38958,f41166,f41114]) ).
fof(f41166,plain,
( spl168_101
<=> r2_hidden(sK156,k1_group_3(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_101])]) ).
fof(f41164,plain,
( r2_hidden(sK156,k1_group_3(sK156))
| ~ v1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41163,f38985]) ).
fof(f41163,plain,
( r2_hidden(sK156,k1_group_3(sK156))
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41162,f38980]) ).
fof(f41162,plain,
( r2_hidden(sK156,k1_group_3(sK156))
| v3_struct_0(sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40872,f38975]) ).
fof(f40872,plain,
( ~ v1_group_1(sK156)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| r2_hidden(sK156,k1_group_3(sK156))
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38386]) ).
fof(f38386,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| r2_hidden(X0,k1_group_3(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f37072]) ).
fof(f37072,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r2_hidden(X0,k1_group_3(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0) ),
inference(flattening,[],[f37071]) ).
fof(f37071,plain,
! [X0] :
( r2_hidden(X0,k1_group_3(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22560]) ).
fof(f22560,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> r2_hidden(X0,k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_group_3) ).
fof(f41146,plain,
( ~ spl168_99
| spl168_100
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41138,f38983,f38978,f38973,f38958,f41144,f41140]) ).
fof(f41138,plain,
( ! [X111] :
( ~ m1_group_2(X111,sK156)
| ~ v7_group_1(sK156)
| v7_group_1(X111) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41137,f38980]) ).
fof(f41137,plain,
( ! [X111] :
( v3_struct_0(sK156)
| ~ m1_group_2(X111,sK156)
| v7_group_1(X111)
| ~ v7_group_1(sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41136,f38985]) ).
fof(f41136,plain,
( ! [X111] :
( ~ l1_group_1(sK156)
| ~ v7_group_1(sK156)
| v7_group_1(X111)
| v3_struct_0(sK156)
| ~ m1_group_2(X111,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40766,f38975]) ).
fof(f40766,plain,
( ! [X111] :
( ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ m1_group_2(X111,sK156)
| v3_struct_0(sK156)
| v7_group_1(X111)
| ~ v7_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37943]) ).
fof(f37943,plain,
! [X0,X1] :
( ~ v7_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v7_group_1(X1)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f36825]) ).
fof(f36825,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ l1_group_1(X0)
| v7_group_1(X1)
| ~ v7_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f36824]) ).
fof(f36824,plain,
! [X0] :
( ! [X1] :
( v7_group_1(X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21873]) ).
fof(f21873,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& v7_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> v7_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_group_2) ).
fof(f41135,plain,
( spl168_98
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41130,f38983,f38978,f38958,f41132]) ).
fof(f41132,plain,
( spl168_98
<=> m1_group_2(sK159(sK156),sK156) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_98])]) ).
fof(f41130,plain,
( m1_group_2(sK159(sK156),sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41129,f38985]) ).
fof(f41129,plain,
( m1_group_2(sK159(sK156),sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40857,f38980]) ).
fof(f40857,plain,
( v3_struct_0(sK156)
| m1_group_2(sK159(sK156),sK156)
| ~ l1_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38336]) ).
fof(f41120,plain,
( ~ spl168_96
| spl168_97
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41112,f38983,f38978,f38973,f38958,f41118,f41114]) ).
fof(f41118,plain,
( spl168_97
<=> ! [X61,X60,X62] :
( ~ v1_group_1(X61)
| ~ v1_group_1(X62)
| ~ m1_group_2(X61,sK156)
| ~ m1_group_2(X62,sK156)
| ~ v1_group_1(X60)
| ~ m1_group_2(X60,sK156)
| ~ m1_group_6(X61,sK156,X60)
| ~ v1_group_3(X61,X60)
| m1_group_6(k9_group_2(sK156,X61,X62),sK156,k9_group_2(sK156,X60,X62)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_97])]) ).
fof(f41112,plain,
( ! [X62,X60,X61] :
( ~ v1_group_1(X61)
| m1_group_6(k9_group_2(sK156,X61,X62),sK156,k9_group_2(sK156,X60,X62))
| ~ v1_group_3(X61,X60)
| ~ m1_group_6(X61,sK156,X60)
| ~ m1_group_2(X60,sK156)
| ~ v1_group_1(sK156)
| ~ v1_group_1(X60)
| ~ m1_group_2(X62,sK156)
| ~ m1_group_2(X61,sK156)
| ~ v1_group_1(X62) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41111,f38980]) ).
fof(f41111,plain,
( ! [X62,X60,X61] :
( ~ m1_group_6(X61,sK156,X60)
| ~ v1_group_1(X62)
| ~ v1_group_1(sK156)
| ~ m1_group_2(X61,sK156)
| v3_struct_0(sK156)
| m1_group_6(k9_group_2(sK156,X61,X62),sK156,k9_group_2(sK156,X60,X62))
| ~ v1_group_3(X61,X60)
| ~ v1_group_1(X61)
| ~ m1_group_2(X62,sK156)
| ~ v1_group_1(X60)
| ~ m1_group_2(X60,sK156) )
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41110,f38985]) ).
fof(f41110,plain,
( ! [X62,X60,X61] :
( ~ m1_group_6(X61,sK156,X60)
| ~ v1_group_1(X62)
| ~ m1_group_2(X60,sK156)
| ~ v1_group_1(X60)
| ~ v1_group_1(X61)
| ~ v1_group_3(X61,X60)
| ~ l1_group_1(sK156)
| ~ v1_group_1(sK156)
| m1_group_6(k9_group_2(sK156,X61,X62),sK156,k9_group_2(sK156,X60,X62))
| ~ m1_group_2(X62,sK156)
| v3_struct_0(sK156)
| ~ m1_group_2(X61,sK156) )
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40722,f38975]) ).
fof(f40722,plain,
( ! [X62,X60,X61] :
( ~ v4_group_1(sK156)
| ~ m1_group_2(X61,sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_3(X61,X60)
| ~ m1_group_6(X61,sK156,X60)
| ~ v1_group_1(X61)
| v3_struct_0(sK156)
| m1_group_6(k9_group_2(sK156,X61,X62),sK156,k9_group_2(sK156,X60,X62))
| ~ v1_group_1(X60)
| ~ m1_group_2(X62,sK156)
| ~ v1_group_1(X62)
| ~ m1_group_2(X60,sK156)
| ~ v1_group_1(sK156) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37667]) ).
fof(f37667,plain,
! [X2,X3,X0,X1] :
( ~ m1_group_2(X3,X0)
| ~ m1_group_6(X2,X0,X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X2,X3)
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ v1_group_1(X1)
| m1_group_6(k9_group_2(X0,X2,X1),X0,k9_group_2(X0,X3,X1))
| ~ v1_group_1(X2) ),
inference(cnf_transformation,[],[f37142]) ).
fof(f41109,plain,
( spl168_95
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41104,f38983,f38978,f38973,f38958,f41106]) ).
fof(f41106,plain,
( spl168_95
<=> r1_group_2(sK156,k5_group_4(sK156,k1_subset_1(u1_struct_0(sK156))),k5_group_2(sK156)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_95])]) ).
fof(f41104,plain,
( r1_group_2(sK156,k5_group_4(sK156,k1_subset_1(u1_struct_0(sK156))),k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41103,f38980]) ).
fof(f41103,plain,
( v3_struct_0(sK156)
| r1_group_2(sK156,k5_group_4(sK156,k1_subset_1(u1_struct_0(sK156))),k5_group_2(sK156))
| ~ spl168_3
| ~ spl168_6
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41102,f38985]) ).
fof(f41102,plain,
( ~ l1_group_1(sK156)
| r1_group_2(sK156,k5_group_4(sK156,k1_subset_1(u1_struct_0(sK156))),k5_group_2(sK156))
| v3_struct_0(sK156)
| ~ spl168_3
| ~ spl168_6 ),
inference(subsumption_resolution,[],[f40755,f38975]) ).
fof(f40755,plain,
( ~ v4_group_1(sK156)
| r1_group_2(sK156,k5_group_4(sK156,k1_subset_1(u1_struct_0(sK156))),k5_group_2(sK156))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f37832]) ).
fof(f37832,plain,
! [X0] :
( v3_struct_0(X0)
| r1_group_2(X0,k5_group_4(X0,k1_subset_1(u1_struct_0(X0))),k5_group_2(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f37192]) ).
fof(f37192,plain,
! [X0] :
( ~ l1_group_1(X0)
| r1_group_2(X0,k5_group_4(X0,k1_subset_1(u1_struct_0(X0))),k5_group_2(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f37191]) ).
fof(f37191,plain,
! [X0] :
( r1_group_2(X0,k5_group_4(X0,k1_subset_1(u1_struct_0(X0))),k5_group_2(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f22929]) ).
fof(f22929,axiom,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> r1_group_2(X0,k5_group_4(X0,k1_subset_1(u1_struct_0(X0))),k5_group_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_group_4) ).
fof(f41086,plain,
( spl168_94
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41081,f38983,f38978,f38973,f38958,f41083]) ).
fof(f41083,plain,
( spl168_94
<=> sQ167_eqProxy(k3_latsubgr(sK156,sK156,k6_partfun1(u1_struct_0(sK156))),k6_partfun1(u1_struct_0(k11_group_4(sK156)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_94])]) ).
fof(f41081,plain,
( sQ167_eqProxy(k3_latsubgr(sK156,sK156,k6_partfun1(u1_struct_0(sK156))),k6_partfun1(u1_struct_0(k11_group_4(sK156))))
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41080,f38975]) ).
fof(f41080,plain,
( sQ167_eqProxy(k3_latsubgr(sK156,sK156,k6_partfun1(u1_struct_0(sK156))),k6_partfun1(u1_struct_0(k11_group_4(sK156))))
| ~ v4_group_1(sK156)
| ~ spl168_3
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41079,f38980]) ).
fof(f41079,plain,
( v3_struct_0(sK156)
| sQ167_eqProxy(k3_latsubgr(sK156,sK156,k6_partfun1(u1_struct_0(sK156))),k6_partfun1(u1_struct_0(k11_group_4(sK156))))
| ~ v4_group_1(sK156)
| ~ spl168_3
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f40930,f38985]) ).
fof(f40930,plain,
( sQ167_eqProxy(k3_latsubgr(sK156,sK156,k6_partfun1(u1_struct_0(sK156))),k6_partfun1(u1_struct_0(k11_group_4(sK156))))
| ~ l1_group_1(sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38654]) ).
fof(f38654,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| sQ167_eqProxy(k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))),k6_partfun1(u1_struct_0(k11_group_4(X0))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(equality_proxy_replacement,[],[f37610,f38579]) ).
fof(f37610,plain,
! [X0] :
( ~ v4_group_1(X0)
| k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0)))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f36911]) ).
fof(f36911,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0)))
| ~ v4_group_1(X0) ),
inference(flattening,[],[f36910]) ).
fof(f36910,plain,
! [X0] :
( k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f36525]) ).
fof(f36525,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_latsubgr) ).
fof(f41051,plain,
( spl168_92
| spl168_93
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(avatar_split_clause,[],[f41044,f38983,f38978,f38973,f38958,f41049,f41046]) ).
fof(f41046,plain,
( spl168_92
<=> ! [X230] :
( ~ m1_group_2(X230,sK156)
| ~ v1_group_1(X230) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_92])]) ).
fof(f41044,plain,
( ! [X230,X229] :
( r1_group_2(sK156,X229,X229)
| ~ m1_group_2(X230,sK156)
| ~ m1_group_2(X229,sK156)
| ~ v1_group_1(X230)
| ~ v1_group_1(X229) )
| ~ spl168_3
| ~ spl168_6
| spl168_7
| ~ spl168_8 ),
inference(subsumption_resolution,[],[f41043,f38985]) ).
fof(f41043,plain,
( ! [X230,X229] :
( ~ l1_group_1(sK156)
| ~ m1_group_2(X229,sK156)
| r1_group_2(sK156,X229,X229)
| ~ v1_group_1(X230)
| ~ v1_group_1(X229)
| ~ m1_group_2(X230,sK156) )
| ~ spl168_3
| ~ spl168_6
| spl168_7 ),
inference(subsumption_resolution,[],[f41042,f38975]) ).
fof(f41042,plain,
( ! [X230,X229] :
( ~ v1_group_1(X230)
| r1_group_2(sK156,X229,X229)
| ~ v4_group_1(sK156)
| ~ l1_group_1(sK156)
| ~ v1_group_1(X229)
| ~ m1_group_2(X230,sK156)
| ~ m1_group_2(X229,sK156) )
| ~ spl168_3
| spl168_7 ),
inference(subsumption_resolution,[],[f40817,f38980]) ).
fof(f40817,plain,
( ! [X230,X229] :
( ~ m1_group_2(X229,sK156)
| v3_struct_0(sK156)
| ~ v4_group_1(sK156)
| ~ v1_group_1(X229)
| ~ m1_group_2(X230,sK156)
| ~ l1_group_1(sK156)
| r1_group_2(sK156,X229,X229)
| ~ v1_group_1(X230) )
| ~ spl168_3 ),
inference(resolution,[],[f38960,f38154]) ).
fof(f38154,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| r1_group_2(X0,X2,X2)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X2) ),
inference(cnf_transformation,[],[f36784]) ).
fof(f36784,plain,
! [X1,X0,X2] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| r1_group_2(X0,X2,X2)
| ~ v1_group_1(X2)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f36783]) ).
fof(f36783,plain,
! [X2,X1,X0] :
( r1_group_2(X0,X2,X2)
| v3_struct_0(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f36589]) ).
fof(f36589,plain,
! [X2,X1,X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& m1_group_2(X2,X0)
& v1_group_1(X2)
& v3_group_1(X0) )
=> r1_group_2(X0,X2,X2) ),
inference(rectify,[],[f22010]) ).
fof(f22010,axiom,
! [X0,X2,X1] :
( ( v1_group_1(X1)
& v1_group_1(X2)
& ~ v3_struct_0(X0)
& m1_group_2(X2,X0)
& v4_group_1(X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> r1_group_2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_group_2) ).
fof(f40688,plain,
( spl168_91
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40683,f39008,f39003,f38968,f38953,f40685]) ).
fof(f40685,plain,
( spl168_91
<=> v1_group_3(k5_group_2(sK157),sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_91])]) ).
fof(f40683,plain,
( v1_group_3(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40682,f39005]) ).
fof(f40682,plain,
( ~ v3_group_1(sK157)
| v1_group_3(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40681,f38970]) ).
fof(f40681,plain,
( v1_group_3(k5_group_2(sK157),sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39076,f39010]) ).
fof(f39076,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| v1_group_3(k5_group_2(sK157),sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37766]) ).
fof(f40665,plain,
( spl168_90
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40660,f39008,f39003,f38968,f38953,f40662]) ).
fof(f40662,plain,
( spl168_90
<=> v4_group_1(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_90])]) ).
fof(f40660,plain,
( v4_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40659,f39010]) ).
fof(f40659,plain,
( ~ l1_group_1(sK157)
| v4_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40658,f39005]) ).
fof(f40658,plain,
( ~ v3_group_1(sK157)
| v4_group_1(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39080,f38970]) ).
fof(f39080,plain,
( v3_struct_0(sK157)
| v4_group_1(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37770]) ).
fof(f40654,plain,
( spl168_89
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40649,f39008,f39003,f38968,f38953,f40651]) ).
fof(f40651,plain,
( spl168_89
<=> sQ167_eqProxy(k6_group_2(sK157),k6_lattices(k11_group_4(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_89])]) ).
fof(f40649,plain,
( sQ167_eqProxy(k6_group_2(sK157),k6_lattices(k11_group_4(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40648,f39005]) ).
fof(f40648,plain,
( ~ v3_group_1(sK157)
| sQ167_eqProxy(k6_group_2(sK157),k6_lattices(k11_group_4(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40647,f38970]) ).
fof(f40647,plain,
( sQ167_eqProxy(k6_group_2(sK157),k6_lattices(k11_group_4(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39286,f39010]) ).
fof(f39286,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k6_group_2(sK157),k6_lattices(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38759]) ).
fof(f40633,plain,
( spl168_88
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40628,f39008,f39003,f38968,f38953,f40630]) ).
fof(f40630,plain,
( spl168_88
<=> v3_group_1(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_88])]) ).
fof(f40628,plain,
( v3_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40627,f39005]) ).
fof(f40627,plain,
( ~ v3_group_1(sK157)
| v3_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40626,f38970]) ).
fof(f40626,plain,
( v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| v3_group_1(k5_group_2(sK157))
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39079,f39010]) ).
fof(f39079,plain,
( ~ l1_group_1(sK157)
| v3_group_1(k5_group_2(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37769]) ).
fof(f40625,plain,
( spl168_87
| ~ spl168_38
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40620,f39008,f39003,f38968,f38953,f39575,f40622]) ).
fof(f40622,plain,
( spl168_87
<=> r2_hidden(sK157,k1_group_3(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_87])]) ).
fof(f39575,plain,
( spl168_38
<=> v1_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_38])]) ).
fof(f40620,plain,
( ~ v1_group_1(sK157)
| r2_hidden(sK157,k1_group_3(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40619,f39005]) ).
fof(f40619,plain,
( ~ v1_group_1(sK157)
| r2_hidden(sK157,k1_group_3(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40618,f38970]) ).
fof(f40618,plain,
( ~ v1_group_1(sK157)
| r2_hidden(sK157,k1_group_3(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39193,f39010]) ).
fof(f39193,plain,
( ~ v1_group_1(sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| r2_hidden(sK157,k1_group_3(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38386]) ).
fof(f40614,plain,
( ~ spl168_38
| ~ spl168_42
| spl168_86
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40610,f39008,f39003,f38968,f38953,f40612,f39661,f39575]) ).
fof(f39661,plain,
( spl168_42
<=> v6_group_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_42])]) ).
fof(f40612,plain,
( spl168_86
<=> ! [X614,X613] :
( ~ sQ167_eqProxy(k6_group_1(sK157,X613,X614),sK165(sK157,X614))
| ~ m1_subset_1(X614,u1_struct_0(sK157))
| ~ m2_subset_1(X613,k1_numbers,k5_numbers)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X614)),sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_86])]) ).
fof(f40610,plain,
( ! [X614,X613] :
( ~ sQ167_eqProxy(k6_group_1(sK157,X613,X614),sK165(sK157,X614))
| ~ v6_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X614)),sK157)
| ~ v1_group_1(sK157)
| ~ m2_subset_1(X613,k1_numbers,k5_numbers)
| ~ m1_subset_1(X614,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40609,f39005]) ).
fof(f40609,plain,
( ! [X614,X613] :
( ~ v6_group_1(sK157)
| ~ m1_subset_1(X614,u1_struct_0(sK157))
| ~ m2_subset_1(X613,k1_numbers,k5_numbers)
| ~ v3_group_1(sK157)
| ~ v1_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X614)),sK157)
| ~ sQ167_eqProxy(k6_group_1(sK157,X613,X614),sK165(sK157,X614)) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40608,f38970]) ).
fof(f40608,plain,
( ! [X614,X613] :
( ~ m2_subset_1(X613,k1_numbers,k5_numbers)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X614)),sK157)
| v3_struct_0(sK157)
| ~ v6_group_1(sK157)
| ~ sQ167_eqProxy(k6_group_1(sK157,X613,X614),sK165(sK157,X614))
| ~ m1_subset_1(X614,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ v3_group_1(sK157) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39348,f39010]) ).
fof(f39348,plain,
( ! [X614,X613] :
( ~ sQ167_eqProxy(k6_group_1(sK157,X613,X614),sK165(sK157,X614))
| ~ m2_subset_1(X613,k1_numbers,k5_numbers)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X614,u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X614)),sK157)
| ~ v3_group_1(sK157)
| ~ v6_group_1(sK157)
| ~ v1_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38935]) ).
fof(f40595,plain,
( ~ spl168_38
| ~ spl168_42
| spl168_85
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40591,f39008,f39003,f38968,f38953,f40593,f39661,f39575]) ).
fof(f40593,plain,
( spl168_85
<=> ! [X618,X617] :
( sQ167_eqProxy(k6_group_1(sK157,sK166(sK157,X618,X617),X618),X617)
| ~ m1_subset_1(X618,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X618)),sK157)
| ~ m1_subset_1(X617,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_85])]) ).
fof(f40591,plain,
( ! [X618,X617] :
( sQ167_eqProxy(k6_group_1(sK157,sK166(sK157,X618,X617),X618),X617)
| ~ m1_subset_1(X617,u1_struct_0(sK157))
| ~ v6_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X618)),sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X618,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40590,f39010]) ).
fof(f40590,plain,
( ! [X618,X617] :
( ~ l1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X618)),sK157)
| sQ167_eqProxy(k6_group_1(sK157,sK166(sK157,X618,X617),X618),X617)
| ~ m1_subset_1(X617,u1_struct_0(sK157))
| ~ m1_subset_1(X618,u1_struct_0(sK157))
| ~ v6_group_1(sK157)
| ~ v1_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40589,f39005]) ).
fof(f40589,plain,
( ! [X618,X617] :
( ~ m1_subset_1(X617,u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ v6_group_1(sK157)
| sQ167_eqProxy(k6_group_1(sK157,sK166(sK157,X618,X617),X618),X617)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X618,u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X618)),sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39350,f38970]) ).
fof(f39350,plain,
( ! [X618,X617] :
( ~ v1_group_1(sK157)
| ~ v6_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X618)),sK157)
| ~ m1_subset_1(X618,u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| sQ167_eqProxy(k6_group_1(sK157,sK166(sK157,X618,X617),X618),X617)
| ~ v3_group_1(sK157)
| ~ m1_subset_1(X617,u1_struct_0(sK157)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38937]) ).
fof(f40582,plain,
( spl168_81
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40581,f39008,f39003,f38968,f38953,f40445]) ).
fof(f40445,plain,
( spl168_81
<=> m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_81])]) ).
fof(f40581,plain,
( m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40580,f38970]) ).
fof(f40580,plain,
( m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40579,f39005]) ).
fof(f40579,plain,
( m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39183,f39010]) ).
fof(f39183,plain,
( ~ l1_group_1(sK157)
| m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38359]) ).
fof(f40572,plain,
( ~ spl168_42
| ~ spl168_38
| spl168_84
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40568,f39008,f39003,f38968,f38953,f40570,f39575,f39661]) ).
fof(f40570,plain,
( spl168_84
<=> ! [X375,X374] :
( ~ m1_group_2(X375,sK157)
| ~ v1_group_1(X375)
| ~ m1_subset_1(X374,u1_struct_0(sK157))
| m2_subset_1(sK18(sK157,X374,X375),k1_numbers,k5_numbers)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X374)),sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_84])]) ).
fof(f40568,plain,
( ! [X375,X374] :
( ~ m1_group_2(X375,sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X374,u1_struct_0(sK157))
| ~ v6_group_1(sK157)
| ~ v1_group_1(X375)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X374)),sK157)
| m2_subset_1(sK18(sK157,X374,X375),k1_numbers,k5_numbers) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40567,f39005]) ).
fof(f40567,plain,
( ! [X375,X374] :
( ~ v6_group_1(sK157)
| ~ m1_subset_1(X374,u1_struct_0(sK157))
| m2_subset_1(sK18(sK157,X374,X375),k1_numbers,k5_numbers)
| ~ m1_group_2(X375,sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(X375)
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X374)),sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40566,f38970]) ).
fof(f40566,plain,
( ! [X375,X374] :
( v3_struct_0(sK157)
| ~ v6_group_1(sK157)
| m2_subset_1(sK18(sK157,X374,X375),k1_numbers,k5_numbers)
| ~ m1_group_2(X375,sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X374)),sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X374,u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ v1_group_1(X375) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39231,f39010]) ).
fof(f39231,plain,
( ! [X375,X374] :
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(X375)
| ~ m1_subset_1(X374,u1_struct_0(sK157))
| m2_subset_1(sK18(sK157,X374,X375),k1_numbers,k5_numbers)
| v3_struct_0(sK157)
| ~ v1_group_1(sK157)
| ~ m1_group_2(X375,sK157)
| ~ v6_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X374)),sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38620]) ).
fof(f40559,plain,
( spl168_79
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40558,f39008,f39003,f38968,f38953,f40438]) ).
fof(f40438,plain,
( spl168_79
<=> v1_funct_1(k1_latsubgr(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_79])]) ).
fof(f40558,plain,
( v1_funct_1(k1_latsubgr(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40557,f38970]) ).
fof(f40557,plain,
( v3_struct_0(sK157)
| v1_funct_1(k1_latsubgr(sK157))
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40556,f39010]) ).
fof(f40556,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v1_funct_1(k1_latsubgr(sK157))
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39181,f39005]) ).
fof(f39181,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| v1_funct_1(k1_latsubgr(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38357]) ).
fof(f40555,plain,
( spl168_83
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40550,f39008,f39003,f38968,f38953,f40552]) ).
fof(f40552,plain,
( spl168_83
<=> sQ167_eqProxy(k3_latsubgr(sK157,sK157,k6_partfun1(u1_struct_0(sK157))),k6_partfun1(u1_struct_0(k11_group_4(sK157)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_83])]) ).
fof(f40550,plain,
( sQ167_eqProxy(k3_latsubgr(sK157,sK157,k6_partfun1(u1_struct_0(sK157))),k6_partfun1(u1_struct_0(k11_group_4(sK157))))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40549,f38970]) ).
fof(f40549,plain,
( sQ167_eqProxy(k3_latsubgr(sK157,sK157,k6_partfun1(u1_struct_0(sK157))),k6_partfun1(u1_struct_0(k11_group_4(sK157))))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40548,f39010]) ).
fof(f40548,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k3_latsubgr(sK157,sK157,k6_partfun1(u1_struct_0(sK157))),k6_partfun1(u1_struct_0(k11_group_4(sK157))))
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39256,f39005]) ).
fof(f39256,plain,
( ~ v3_group_1(sK157)
| sQ167_eqProxy(k3_latsubgr(sK157,sK157,k6_partfun1(u1_struct_0(sK157))),k6_partfun1(u1_struct_0(k11_group_4(sK157))))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38654]) ).
fof(f40544,plain,
( spl168_32
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40543,f39008,f39003,f38968,f38953,f39525]) ).
fof(f39525,plain,
( spl168_32
<=> v1_group_1(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_32])]) ).
fof(f40543,plain,
( v1_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40542,f39010]) ).
fof(f40542,plain,
( v1_group_1(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40541,f38970]) ).
fof(f40541,plain,
( v3_struct_0(sK157)
| v1_group_1(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39077,f39005]) ).
fof(f39077,plain,
( ~ v3_group_1(sK157)
| v1_group_1(k5_group_2(sK157))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37767]) ).
fof(f40537,plain,
( ~ spl168_42
| ~ spl168_38
| spl168_82
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40533,f39008,f39003,f38968,f38953,f40535,f39575,f39661]) ).
fof(f40535,plain,
( spl168_82
<=> ! [X372,X373] :
( ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X372)),sK157)
| ~ m1_group_2(X373,sK157)
| ~ m1_subset_1(X372,u1_struct_0(sK157))
| ~ v1_group_1(X373)
| r1_group_2(sK157,X373,k5_group_4(sK157,k1_struct_0(sK157,k6_group_1(sK157,sK18(sK157,X372,X373),X372)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_82])]) ).
fof(f40533,plain,
( ! [X373,X372] :
( ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X372)),sK157)
| r1_group_2(sK157,X373,k5_group_4(sK157,k1_struct_0(sK157,k6_group_1(sK157,sK18(sK157,X372,X373),X372))))
| ~ v1_group_1(sK157)
| ~ v1_group_1(X373)
| ~ m1_subset_1(X372,u1_struct_0(sK157))
| ~ v6_group_1(sK157)
| ~ m1_group_2(X373,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40532,f38970]) ).
fof(f40532,plain,
( ! [X373,X372] :
( ~ m1_group_2(X373,sK157)
| ~ v6_group_1(sK157)
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X372)),sK157)
| ~ v1_group_1(X373)
| ~ m1_subset_1(X372,u1_struct_0(sK157))
| r1_group_2(sK157,X373,k5_group_4(sK157,k1_struct_0(sK157,k6_group_1(sK157,sK18(sK157,X372,X373),X372))))
| v3_struct_0(sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40531,f39005]) ).
fof(f40531,plain,
( ! [X373,X372] :
( ~ m1_group_2(X373,sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X372)),sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v6_group_1(sK157)
| ~ v1_group_1(X373)
| r1_group_2(sK157,X373,k5_group_4(sK157,k1_struct_0(sK157,k6_group_1(sK157,sK18(sK157,X372,X373),X372))))
| ~ m1_subset_1(X372,u1_struct_0(sK157)) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39230,f39010]) ).
fof(f39230,plain,
( ! [X373,X372] :
( ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X372)),sK157)
| ~ v6_group_1(sK157)
| r1_group_2(sK157,X373,k5_group_4(sK157,k1_struct_0(sK157,k6_group_1(sK157,sK18(sK157,X372,X373),X372))))
| ~ v1_group_1(X373)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X373,sK157)
| ~ m1_subset_1(X372,u1_struct_0(sK157)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38619]) ).
fof(f40526,plain,
( ~ spl168_66
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40525,f39008,f39003,f38968,f38953,f40048]) ).
fof(f40525,plain,
( ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40524,f39005]) ).
fof(f40524,plain,
( ~ v3_group_1(sK157)
| ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40523,f39010]) ).
fof(f40523,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39017,f38970]) ).
fof(f39017,plain,
( v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37446]) ).
fof(f40492,plain,
( spl168_67
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40491,f39008,f39003,f38968,f38953,f40077]) ).
fof(f40491,plain,
( v10_lattices(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40490,f39005]) ).
fof(f40490,plain,
( ~ v3_group_1(sK157)
| v10_lattices(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40489,f39010]) ).
fof(f40489,plain,
( ~ l1_group_1(sK157)
| v10_lattices(k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39018,f38970]) ).
fof(f39018,plain,
( v10_lattices(k11_group_4(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37447]) ).
fof(f40467,plain,
( ~ spl168_16
| spl168_60
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40466,f39008,f39003,f38968,f38953,f39964,f39405]) ).
fof(f39964,plain,
( spl168_60
<=> ! [X107] :
( v7_group_1(X107)
| ~ m1_group_2(X107,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_60])]) ).
fof(f40466,plain,
( ! [X286] :
( ~ m1_group_2(X286,sK157)
| ~ v7_group_1(sK157)
| v7_group_1(X286) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40465,f39010]) ).
fof(f40465,plain,
( ! [X286] :
( ~ v7_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ m1_group_2(X286,sK157)
| v7_group_1(X286) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40464,f39005]) ).
fof(f40464,plain,
( ! [X286] :
( ~ v3_group_1(sK157)
| ~ m1_group_2(X286,sK157)
| ~ l1_group_1(sK157)
| ~ v7_group_1(sK157)
| v7_group_1(X286) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39174,f38970]) ).
fof(f39174,plain,
( ! [X286] :
( v3_struct_0(sK157)
| ~ v7_group_1(sK157)
| v7_group_1(X286)
| ~ v3_group_1(sK157)
| ~ m1_group_2(X286,sK157)
| ~ l1_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38313]) ).
fof(f40448,plain,
( ~ spl168_47
| ~ spl168_79
| spl168_80
| ~ spl168_81
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40436,f39008,f39003,f38968,f38953,f40445,f40442,f40438,f39801]) ).
fof(f39801,plain,
( spl168_47
<=> v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_47])]) ).
fof(f40442,plain,
( spl168_80
<=> ! [X486] :
( sQ167_eqProxy(u1_struct_0(X486),k1_funct_1(k1_latsubgr(sK157),X486))
| ~ m1_group_2(X486,sK157)
| ~ v1_group_1(X486) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_80])]) ).
fof(f40436,plain,
( ! [X486] :
( ~ m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| sQ167_eqProxy(u1_struct_0(X486),k1_funct_1(k1_latsubgr(sK157),X486))
| ~ v1_group_1(X486)
| ~ v1_funct_1(k1_latsubgr(sK157))
| ~ v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_group_2(X486,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40435,f39010]) ).
fof(f40435,plain,
( ! [X486] :
( ~ v1_group_1(X486)
| ~ v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ l1_group_1(sK157)
| ~ v1_funct_1(k1_latsubgr(sK157))
| ~ m1_group_2(X486,sK157)
| sQ167_eqProxy(u1_struct_0(X486),k1_funct_1(k1_latsubgr(sK157),X486))
| ~ m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157))) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40434,f39005]) ).
fof(f40434,plain,
( ! [X486] :
( ~ v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_group_2(X486,sK157)
| ~ v1_funct_1(k1_latsubgr(sK157))
| sQ167_eqProxy(u1_struct_0(X486),k1_funct_1(k1_latsubgr(sK157),X486))
| ~ v3_group_1(sK157)
| ~ m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v1_group_1(X486)
| ~ l1_group_1(sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39290,f38970]) ).
fof(f39290,plain,
( ! [X486] :
( ~ v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| sQ167_eqProxy(u1_struct_0(X486),k1_funct_1(k1_latsubgr(sK157),X486))
| ~ m2_relset_1(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ m1_group_2(X486,sK157)
| ~ v1_group_1(X486)
| ~ l1_group_1(sK157)
| ~ v1_funct_1(k1_latsubgr(sK157)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38764]) ).
fof(f40427,plain,
( ~ spl168_27
| ~ spl168_50
| ~ spl168_21
| ~ spl168_20
| ~ spl168_26
| ~ spl168_23
| ~ spl168_18
| spl168_25
| spl168_78
| ~ spl168_19
| ~ spl168_22
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f40423,f38968,f38953,f39454,f39442,f40425,f39466,f39438,f39458,f39470,f39446,f39450,f39846,f39474]) ).
fof(f39474,plain,
( spl168_27
<=> v4_rlvect_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_27])]) ).
fof(f39846,plain,
( spl168_50
<=> v9_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_50])]) ).
fof(f39450,plain,
( spl168_21
<=> l3_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_21])]) ).
fof(f39446,plain,
( spl168_20
<=> v8_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_20])]) ).
fof(f39470,plain,
( spl168_26
<=> v3_rlvect_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_26])]) ).
fof(f39458,plain,
( spl168_23
<=> v6_rlvect_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_23])]) ).
fof(f39438,plain,
( spl168_18
<=> v6_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_18])]) ).
fof(f39466,plain,
( spl168_25
<=> v10_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_25])]) ).
fof(f40425,plain,
( spl168_78
<=> ! [X607,X606] :
( ~ sQ167_eqProxy(k1_rlvect_1(sK157),k1_group_1(sK157,X606,X607))
| sQ167_eqProxy(k1_rlvect_1(sK157),X606)
| ~ m1_subset_1(X607,u1_struct_0(sK157))
| sQ167_eqProxy(k1_rlvect_1(sK157),X607)
| ~ m1_subset_1(X606,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_78])]) ).
fof(f39442,plain,
( spl168_19
<=> v7_vectsp_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_19])]) ).
fof(f39454,plain,
( spl168_22
<=> v5_rlvect_1(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_22])]) ).
fof(f40423,plain,
( ! [X606,X607] :
( ~ v5_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),k1_group_1(sK157,X606,X607))
| v10_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ m1_subset_1(X606,u1_struct_0(sK157))
| sQ167_eqProxy(k1_rlvect_1(sK157),X607)
| ~ v6_rlvect_1(sK157)
| ~ m1_subset_1(X607,u1_struct_0(sK157))
| ~ v3_rlvect_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X606)
| ~ v8_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v9_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39344,f38970]) ).
fof(f39344,plain,
( ! [X606,X607] :
( ~ v4_rlvect_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),k1_group_1(sK157,X606,X607))
| ~ v6_vectsp_1(sK157)
| ~ m1_subset_1(X606,u1_struct_0(sK157))
| ~ v9_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ m1_subset_1(X607,u1_struct_0(sK157))
| ~ l3_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| v10_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X606)
| v3_struct_0(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X607)
| ~ v5_rlvect_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38926]) ).
fof(f40415,plain,
( spl168_77
| ~ spl168_38
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40411,f39008,f39003,f38968,f38953,f39575,f40413]) ).
fof(f40413,plain,
( spl168_77
<=> ! [X446,X447] :
( ~ m1_subset_1(X446,u1_struct_0(sK157))
| ~ m1_subset_1(X447,u1_struct_0(sK157))
| v1_int_1(sK33(sK157,X446,X447))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X446)),sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_77])]) ).
fof(f40411,plain,
( ! [X447,X446] :
( ~ v1_group_1(sK157)
| ~ m1_subset_1(X446,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X446)),sK157)
| v1_int_1(sK33(sK157,X446,X447))
| ~ m1_subset_1(X447,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40410,f38970]) ).
fof(f40410,plain,
( ! [X447,X446] :
( v1_int_1(sK33(sK157,X446,X447))
| ~ m1_subset_1(X447,u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ m1_subset_1(X446,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X446)),sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40409,f39005]) ).
fof(f40409,plain,
( ! [X447,X446] :
( ~ m1_subset_1(X447,u1_struct_0(sK157))
| v1_int_1(sK33(sK157,X446,X447))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X446,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X446)),sK157) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39267,f39010]) ).
fof(f39267,plain,
( ! [X447,X446] :
( ~ m1_subset_1(X446,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| v1_int_1(sK33(sK157,X446,X447))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ m1_subset_1(X447,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X446)),sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38683]) ).
fof(f40402,plain,
( spl168_76
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40397,f39008,f39003,f38968,f38953,f40399]) ).
fof(f40399,plain,
( spl168_76
<=> v6_group_1(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_76])]) ).
fof(f40397,plain,
( v6_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40396,f39010]) ).
fof(f40396,plain,
( v6_group_1(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40395,f38970]) ).
fof(f40395,plain,
( v6_group_1(k5_group_2(sK157))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39118,f39005]) ).
fof(f39118,plain,
( ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v6_group_1(k5_group_2(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38036]) ).
fof(f40357,plain,
( spl168_75
| ~ spl168_42
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40352,f39008,f39003,f38968,f38953,f39661,f40354]) ).
fof(f40354,plain,
( spl168_75
<=> v1_finset_1(k1_group_3(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_75])]) ).
fof(f40352,plain,
( ~ v6_group_1(sK157)
| v1_finset_1(k1_group_3(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40351,f39005]) ).
fof(f40351,plain,
( ~ v3_group_1(sK157)
| v1_finset_1(k1_group_3(sK157))
| ~ v6_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40350,f38970]) ).
fof(f40350,plain,
( ~ v6_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| v1_finset_1(k1_group_3(sK157))
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39083,f39010]) ).
fof(f39083,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| v1_finset_1(k1_group_3(sK157))
| ~ v6_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37830]) ).
fof(f40346,plain,
( spl168_74
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40341,f39008,f39003,f38968,f38953,f40343]) ).
fof(f40343,plain,
( spl168_74
<=> r1_rlvect_1(k5_group_2(sK157),k2_group_1(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_74])]) ).
fof(f40341,plain,
( r1_rlvect_1(k5_group_2(sK157),k2_group_1(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40340,f38970]) ).
fof(f40340,plain,
( v3_struct_0(sK157)
| r1_rlvect_1(k5_group_2(sK157),k2_group_1(sK157))
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40339,f39010]) ).
fof(f40339,plain,
( r1_rlvect_1(k5_group_2(sK157),k2_group_1(sK157))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39208,f39005]) ).
fof(f39208,plain,
( r1_rlvect_1(k5_group_2(sK157),k2_group_1(sK157))
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38560]) ).
fof(f40329,plain,
( ~ spl168_38
| spl168_73
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40325,f39008,f39003,f38968,f38953,f40327,f39575]) ).
fof(f40327,plain,
( spl168_73
<=> ! [X445,X444] :
( ~ v1_int_1(X444)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X445)),sK157)
| ~ m1_subset_1(X445,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k6_group_1(sK157,X444,X445),sK32(sK157,X445)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_73])]) ).
fof(f40325,plain,
( ! [X445,X444] :
( ~ v1_int_1(X444)
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k6_group_1(sK157,X444,X445),sK32(sK157,X445))
| ~ m1_subset_1(X445,u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X445)),sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40324,f39005]) ).
fof(f40324,plain,
( ! [X445,X444] :
( ~ m1_subset_1(X445,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k6_group_1(sK157,X444,X445),sK32(sK157,X445))
| ~ v1_int_1(X444)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X445)),sK157)
| ~ v1_group_1(sK157)
| ~ v3_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40323,f38970]) ).
fof(f40323,plain,
( ! [X445,X444] :
( sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X445)),sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X445,u1_struct_0(sK157))
| ~ v1_int_1(X444)
| ~ v1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ sQ167_eqProxy(k6_group_1(sK157,X444,X445),sK32(sK157,X445)) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39266,f39010]) ).
fof(f39266,plain,
( ! [X445,X444] :
( sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X445)),sK157)
| ~ v1_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ m1_subset_1(X445,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k6_group_1(sK157,X444,X445),sK32(sK157,X445))
| v3_struct_0(sK157)
| ~ v1_int_1(X444) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38682]) ).
fof(f40299,plain,
( ~ spl168_38
| spl168_72
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40295,f39008,f39003,f38968,f38953,f40297,f39575]) ).
fof(f40297,plain,
( spl168_72
<=> ! [X60,X59,X58] :
( ~ v1_group_3(X59,X58)
| ~ m1_group_2(X60,sK157)
| ~ m1_group_6(X59,sK157,X58)
| ~ m1_group_2(X58,sK157)
| ~ v1_group_1(X59)
| ~ v1_group_1(X60)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| ~ v1_group_1(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_72])]) ).
fof(f40295,plain,
( ! [X58,X59,X60] :
( ~ v1_group_3(X59,X58)
| ~ v1_group_1(X58)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| ~ v1_group_1(X60)
| ~ v1_group_1(X59)
| ~ m1_group_2(X58,sK157)
| ~ v1_group_1(sK157)
| ~ m1_group_6(X59,sK157,X58)
| ~ m1_group_2(X60,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40294,f40099]) ).
fof(f40099,plain,
( ! [X98,X97] :
( ~ m1_group_2(X98,sK157)
| m1_group_2(X97,sK157)
| ~ m1_group_6(X97,sK157,X98) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40098,f39010]) ).
fof(f40098,plain,
( ! [X98,X97] :
( ~ m1_group_6(X97,sK157,X98)
| ~ l1_group_1(sK157)
| ~ m1_group_2(X98,sK157)
| m1_group_2(X97,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40097,f39005]) ).
fof(f40097,plain,
( ! [X98,X97] :
( ~ m1_group_6(X97,sK157,X98)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| m1_group_2(X97,sK157)
| ~ m1_group_2(X98,sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39088,f38970]) ).
fof(f39088,plain,
( ! [X98,X97] :
( ~ m1_group_2(X98,sK157)
| m1_group_2(X97,sK157)
| v3_struct_0(sK157)
| ~ m1_group_6(X97,sK157,X98)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37868]) ).
fof(f37868,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f37144]) ).
fof(f37144,plain,
! [X1,X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f37143]) ).
fof(f37143,plain,
! [X1,X0] :
( ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f27003]) ).
fof(f27003,axiom,
! [X1,X0] :
( ( v4_group_1(X0)
& m1_group_2(X1,X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
=> m1_group_2(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_6) ).
fof(f40294,plain,
( ! [X58,X59,X60] :
( ~ m1_group_2(X58,sK157)
| ~ v1_group_1(sK157)
| ~ v1_group_1(X58)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| ~ m1_group_2(X59,sK157)
| ~ v1_group_3(X59,X58)
| ~ m1_group_6(X59,sK157,X58)
| ~ v1_group_1(X60)
| ~ v1_group_1(X59)
| ~ m1_group_2(X60,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40293,f38970]) ).
fof(f40293,plain,
( ! [X58,X59,X60] :
( ~ v1_group_3(X59,X58)
| ~ m1_group_2(X59,sK157)
| ~ v1_group_1(X59)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| ~ m1_group_2(X60,sK157)
| ~ m1_group_2(X58,sK157)
| v3_struct_0(sK157)
| ~ v1_group_1(sK157)
| ~ v1_group_1(X60)
| ~ m1_group_6(X59,sK157,X58)
| ~ v1_group_1(X58) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40292,f39010]) ).
fof(f40292,plain,
( ! [X58,X59,X60] :
( ~ v1_group_3(X59,X58)
| ~ v1_group_1(X59)
| ~ v1_group_1(X60)
| ~ l1_group_1(sK157)
| ~ m1_group_2(X59,sK157)
| ~ m1_group_2(X60,sK157)
| ~ m1_group_6(X59,sK157,X58)
| ~ v1_group_1(X58)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| v3_struct_0(sK157)
| ~ m1_group_2(X58,sK157)
| ~ v1_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39051,f39005]) ).
fof(f39051,plain,
( ! [X58,X59,X60] :
( ~ m1_group_2(X60,sK157)
| ~ m1_group_2(X58,sK157)
| ~ v1_group_1(X59)
| ~ v3_group_1(sK157)
| m1_group_6(k9_group_2(sK157,X59,X60),sK157,k9_group_2(sK157,X58,X60))
| ~ v1_group_1(X58)
| ~ v1_group_3(X59,X58)
| ~ m1_group_2(X59,sK157)
| ~ m1_group_6(X59,sK157,X58)
| ~ v1_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_group_1(X60) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37667]) ).
fof(f40248,plain,
( ~ spl168_38
| spl168_71
| ~ spl168_42
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40244,f39008,f39003,f38968,f38953,f39661,f40246,f39575]) ).
fof(f40246,plain,
( spl168_71
<=> ! [X615,X616] :
( ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X615)),sK157)
| m2_subset_1(sK166(sK157,X615,X616),k1_numbers,k5_numbers)
| ~ m1_subset_1(X615,u1_struct_0(sK157))
| ~ m1_subset_1(X616,u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_71])]) ).
fof(f40244,plain,
( ! [X615,X616] :
( ~ v6_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X615)),sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X616,u1_struct_0(sK157))
| ~ m1_subset_1(X615,u1_struct_0(sK157))
| m2_subset_1(sK166(sK157,X615,X616),k1_numbers,k5_numbers) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40243,f39005]) ).
fof(f40243,plain,
( ! [X615,X616] :
( ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X615)),sK157)
| m2_subset_1(sK166(sK157,X615,X616),k1_numbers,k5_numbers)
| ~ m1_subset_1(X616,u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ m1_subset_1(X615,u1_struct_0(sK157))
| ~ v6_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40242,f39010]) ).
fof(f40242,plain,
( ! [X615,X616] :
( ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X615)),sK157)
| ~ v1_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ m1_subset_1(X615,u1_struct_0(sK157))
| m2_subset_1(sK166(sK157,X615,X616),k1_numbers,k5_numbers)
| ~ v3_group_1(sK157)
| ~ v6_group_1(sK157)
| ~ m1_subset_1(X616,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39349,f38970]) ).
fof(f39349,plain,
( ! [X615,X616] :
( v3_struct_0(sK157)
| m2_subset_1(sK166(sK157,X615,X616),k1_numbers,k5_numbers)
| ~ v1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X615)),sK157)
| ~ l1_group_1(sK157)
| ~ v6_group_1(sK157)
| ~ m1_subset_1(X616,u1_struct_0(sK157))
| ~ m1_subset_1(X615,u1_struct_0(sK157))
| ~ v3_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38936]) ).
fof(f40238,plain,
( ~ spl168_70
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40233,f39008,f39003,f38968,f38953,f40235]) ).
fof(f40235,plain,
( spl168_70
<=> v3_struct_0(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_70])]) ).
fof(f40233,plain,
( ~ v3_struct_0(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40232,f39005]) ).
fof(f40232,plain,
( ~ v3_struct_0(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40231,f39010]) ).
fof(f40231,plain,
( ~ l1_group_1(sK157)
| ~ v3_struct_0(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39078,f38970]) ).
fof(f39078,plain,
( v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v3_struct_0(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37768]) ).
fof(f40227,plain,
( ~ spl168_16
| spl168_69
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40223,f39008,f39003,f38968,f38953,f40225,f39405]) ).
fof(f40225,plain,
( spl168_69
<=> ! [X150,X152,X151] :
( ~ m1_group_2(X151,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X151,X150),X152)
| r1_rlvect_1(X151,sK99(X152,sK157,X151,X150))
| ~ m1_group_2(X150,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_69])]) ).
fof(f40223,plain,
( ! [X152,X150,X151] :
( ~ m1_group_2(X151,sK157)
| ~ m1_group_2(X150,sK157)
| ~ v7_group_1(sK157)
| r1_rlvect_1(X151,sK99(X152,sK157,X151,X150))
| ~ r1_rlvect_1(k8_group_4(sK157,X151,X150),X152) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40222,f39005]) ).
fof(f40222,plain,
( ! [X152,X150,X151] :
( ~ m1_group_2(X151,sK157)
| ~ v3_group_1(sK157)
| ~ v7_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X151,X150),X152)
| r1_rlvect_1(X151,sK99(X152,sK157,X151,X150))
| ~ m1_group_2(X150,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40221,f38970]) ).
fof(f40221,plain,
( ! [X152,X150,X151] :
( ~ v7_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X151,X150),X152)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ m1_group_2(X151,sK157)
| r1_rlvect_1(X151,sK99(X152,sK157,X151,X150))
| ~ m1_group_2(X150,sK157) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39115,f39010]) ).
fof(f39115,plain,
( ! [X152,X150,X151] :
( ~ l1_group_1(sK157)
| ~ v7_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ m1_group_2(X150,sK157)
| ~ m1_group_2(X151,sK157)
| v3_struct_0(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X151,X150),X152)
| r1_rlvect_1(X151,sK99(X152,sK157,X151,X150)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38027]) ).
fof(f40189,plain,
( ~ spl168_21
| ~ spl168_18
| spl168_44
| spl168_50
| ~ spl168_27
| ~ spl168_26
| ~ spl168_22
| ~ spl168_20
| ~ spl168_23
| ~ spl168_19
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f40188,f38968,f38953,f39442,f39458,f39446,f39454,f39470,f39474,f39846,f39695,f39438,f39450]) ).
fof(f39695,plain,
( spl168_44
<=> m1_subset_1(sK9(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_44])]) ).
fof(f40188,plain,
( ~ v7_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| v9_vectsp_1(sK157)
| m1_subset_1(sK9(sK157),u1_struct_0(sK157))
| ~ v6_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39030,f38970]) ).
fof(f39030,plain,
( ~ l3_vectsp_1(sK157)
| v9_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| m1_subset_1(sK9(sK157),u1_struct_0(sK157))
| ~ v8_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| v3_struct_0(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37506]) ).
fof(f40184,plain,
( spl168_28
| ~ spl168_21
| ~ spl168_29
| ~ spl168_23
| ~ spl168_26
| ~ spl168_22
| ~ spl168_18
| ~ spl168_27
| ~ spl168_19
| ~ spl168_20
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f40183,f38968,f38953,f39446,f39442,f39474,f39438,f39454,f39470,f39458,f39496,f39450,f39478]) ).
fof(f39478,plain,
( spl168_28
<=> sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_28])]) ).
fof(f39496,plain,
( spl168_29
<=> v3_realset2(sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_29])]) ).
fof(f40183,plain,
( ~ v8_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v3_realset2(sK157)
| ~ l3_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39270,f38970]) ).
fof(f39270,plain,
( v3_struct_0(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v3_realset2(sK157)
| ~ v6_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v8_vectsp_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38708]) ).
fof(f40164,plain,
( ~ spl168_19
| ~ spl168_27
| spl168_50
| ~ spl168_26
| ~ spl168_23
| spl168_36
| ~ spl168_21
| ~ spl168_22
| spl168_28
| ~ spl168_18
| ~ spl168_20
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f40163,f38968,f38953,f39446,f39438,f39478,f39454,f39450,f39556,f39458,f39470,f39846,f39474,f39442]) ).
fof(f39556,plain,
( spl168_36
<=> ! [X360] :
( ~ m1_subset_1(X360,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK9(sK157),X360)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_36])]) ).
fof(f40163,plain,
( ! [X361] :
( ~ v8_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v5_rlvect_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK9(sK157),X361))
| ~ m1_subset_1(X361,u1_struct_0(sK157))
| ~ v6_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| v9_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39221,f38970]) ).
fof(f39221,plain,
( ! [X361] :
( ~ m1_subset_1(X361,u1_struct_0(sK157))
| ~ v6_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK9(sK157),X361))
| v9_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| v3_struct_0(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v7_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38603]) ).
fof(f40147,plain,
( spl168_68
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40142,f39008,f39003,f38968,f38953,f40144]) ).
fof(f40142,plain,
( l3_lattices(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40141,f39005]) ).
fof(f40141,plain,
( l3_lattices(k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40140,f38970]) ).
fof(f40140,plain,
( l3_lattices(k11_group_4(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39102,f39010]) ).
fof(f39102,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| l3_lattices(k11_group_4(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37962]) ).
fof(f40080,plain,
( spl168_67
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40075,f39008,f39003,f38968,f38953,f40077]) ).
fof(f40075,plain,
( v10_lattices(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40074,f39005]) ).
fof(f40074,plain,
( ~ v3_group_1(sK157)
| v10_lattices(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40073,f38970]) ).
fof(f40073,plain,
( v3_struct_0(sK157)
| v10_lattices(k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39101,f39010]) ).
fof(f39101,plain,
( ~ l1_group_1(sK157)
| v10_lattices(k11_group_4(sK157))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37961]) ).
fof(f40051,plain,
( ~ spl168_66
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40046,f39008,f39003,f38968,f38953,f40048]) ).
fof(f40046,plain,
( ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40045,f39005]) ).
fof(f40045,plain,
( ~ v3_struct_0(k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40044,f39010]) ).
fof(f40044,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ v3_struct_0(k11_group_4(sK157))
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39100,f38970]) ).
fof(f39100,plain,
( v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v3_struct_0(k11_group_4(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37960]) ).
fof(f40037,plain,
( spl168_65
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40032,f39008,f39003,f38968,f38953,f40034]) ).
fof(f40034,plain,
( spl168_65
<=> r1_group_2(sK157,k5_group_4(sK157,k1_subset_1(u1_struct_0(sK157))),k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_65])]) ).
fof(f40032,plain,
( r1_group_2(sK157,k5_group_4(sK157,k1_subset_1(u1_struct_0(sK157))),k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40031,f39005]) ).
fof(f40031,plain,
( ~ v3_group_1(sK157)
| r1_group_2(sK157,k5_group_4(sK157,k1_subset_1(u1_struct_0(sK157))),k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40030,f38970]) ).
fof(f40030,plain,
( v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| r1_group_2(sK157,k5_group_4(sK157,k1_subset_1(u1_struct_0(sK157))),k5_group_2(sK157))
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39084,f39010]) ).
fof(f39084,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| r1_group_2(sK157,k5_group_4(sK157,k1_subset_1(u1_struct_0(sK157))),k5_group_2(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37832]) ).
fof(f40029,plain,
( ~ spl168_38
| spl168_64
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40025,f39008,f39003,f38968,f38953,f40027,f39575]) ).
fof(f40027,plain,
( spl168_64
<=> ! [X508,X510,X511,X509] :
( ~ m1_group_6(X509,sK157,X508)
| ~ v1_group_1(X508)
| ~ m1_subset_1(X511,u1_struct_0(X508))
| ~ v1_group_1(X509)
| sQ167_eqProxy(k2_group_2(X508,k12_group_2(X508,X509,X510),k12_group_2(X508,X509,X511)),k12_group_2(X508,X509,k1_group_1(X508,X510,X511)))
| ~ v1_group_3(X509,X508)
| ~ m1_group_2(X508,sK157)
| ~ m1_subset_1(X510,u1_struct_0(X508)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_64])]) ).
fof(f40025,plain,
( ! [X511,X510,X509,X508] :
( ~ m1_group_6(X509,sK157,X508)
| ~ m1_subset_1(X510,u1_struct_0(X508))
| ~ m1_group_2(X508,sK157)
| ~ v1_group_3(X509,X508)
| sQ167_eqProxy(k2_group_2(X508,k12_group_2(X508,X509,X510),k12_group_2(X508,X509,X511)),k12_group_2(X508,X509,k1_group_1(X508,X510,X511)))
| ~ v1_group_1(sK157)
| ~ v1_group_1(X509)
| ~ m1_subset_1(X511,u1_struct_0(X508))
| ~ v1_group_1(X508) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40024,f39005]) ).
fof(f40024,plain,
( ! [X511,X510,X509,X508] :
( ~ v1_group_1(sK157)
| ~ m1_group_6(X509,sK157,X508)
| ~ m1_group_2(X508,sK157)
| ~ v1_group_1(X509)
| ~ v3_group_1(sK157)
| ~ v1_group_3(X509,X508)
| ~ m1_subset_1(X510,u1_struct_0(X508))
| sQ167_eqProxy(k2_group_2(X508,k12_group_2(X508,X509,X510),k12_group_2(X508,X509,X511)),k12_group_2(X508,X509,k1_group_1(X508,X510,X511)))
| ~ m1_subset_1(X511,u1_struct_0(X508))
| ~ v1_group_1(X508) )
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40023,f39010]) ).
fof(f40023,plain,
( ! [X511,X510,X509,X508] :
( ~ m1_subset_1(X511,u1_struct_0(X508))
| ~ v1_group_1(X509)
| ~ m1_group_6(X509,sK157,X508)
| ~ v1_group_3(X509,X508)
| ~ l1_group_1(sK157)
| sQ167_eqProxy(k2_group_2(X508,k12_group_2(X508,X509,X510),k12_group_2(X508,X509,X511)),k12_group_2(X508,X509,k1_group_1(X508,X510,X511)))
| ~ m1_group_2(X508,sK157)
| ~ v1_group_1(X508)
| ~ v3_group_1(sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X510,u1_struct_0(X508)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39300,f38970]) ).
fof(f39300,plain,
( ! [X511,X510,X509,X508] :
( ~ v1_group_3(X509,X508)
| ~ v1_group_1(X508)
| v3_struct_0(sK157)
| ~ m1_group_6(X509,sK157,X508)
| ~ m1_subset_1(X510,u1_struct_0(X508))
| ~ m1_group_2(X508,sK157)
| ~ v1_group_1(sK157)
| sQ167_eqProxy(k2_group_2(X508,k12_group_2(X508,X509,X510),k12_group_2(X508,X509,X511)),k12_group_2(X508,X509,k1_group_1(X508,X510,X511)))
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| ~ m1_subset_1(X511,u1_struct_0(X508))
| ~ v1_group_1(X509) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38808]) ).
fof(f40022,plain,
( spl168_63
| ~ spl168_16
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40018,f39008,f39003,f38968,f38953,f39405,f40020]) ).
fof(f40020,plain,
( spl168_63
<=> ! [X333,X336,X334,X335] :
( ~ m1_group_2(X333,sK157)
| ~ m1_group_2(X334,sK157)
| ~ m1_subset_1(X335,u1_struct_0(sK157))
| ~ r1_rlvect_1(X334,X335)
| ~ r1_rlvect_1(X333,X336)
| ~ m1_subset_1(X336,u1_struct_0(sK157))
| r1_rlvect_1(k8_group_4(sK157,X334,X333),k1_group_1(sK157,X335,X336)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_63])]) ).
fof(f40018,plain,
( ! [X333,X335,X336,X334] :
( ~ v7_group_1(sK157)
| ~ m1_group_2(X333,sK157)
| r1_rlvect_1(k8_group_4(sK157,X334,X333),k1_group_1(sK157,X335,X336))
| ~ m1_subset_1(X336,u1_struct_0(sK157))
| ~ r1_rlvect_1(X333,X336)
| ~ r1_rlvect_1(X334,X335)
| ~ m1_subset_1(X335,u1_struct_0(sK157))
| ~ m1_group_2(X334,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40017,f38970]) ).
fof(f40017,plain,
( ! [X333,X335,X336,X334] :
( ~ m1_group_2(X333,sK157)
| v3_struct_0(sK157)
| ~ r1_rlvect_1(X334,X335)
| ~ m1_group_2(X334,sK157)
| ~ v7_group_1(sK157)
| ~ m1_subset_1(X335,u1_struct_0(sK157))
| ~ m1_subset_1(X336,u1_struct_0(sK157))
| ~ r1_rlvect_1(X333,X336)
| r1_rlvect_1(k8_group_4(sK157,X334,X333),k1_group_1(sK157,X335,X336)) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40016,f39005]) ).
fof(f40016,plain,
( ! [X333,X335,X336,X334] :
( ~ m1_subset_1(X335,u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| ~ m1_group_2(X334,sK157)
| ~ m1_group_2(X333,sK157)
| ~ r1_rlvect_1(X333,X336)
| v3_struct_0(sK157)
| ~ r1_rlvect_1(X334,X335)
| r1_rlvect_1(k8_group_4(sK157,X334,X333),k1_group_1(sK157,X335,X336))
| ~ m1_subset_1(X336,u1_struct_0(sK157))
| ~ v7_group_1(sK157) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39204,f39010]) ).
fof(f39204,plain,
( ! [X333,X336,X335,X334] :
( ~ l1_group_1(sK157)
| ~ v7_group_1(sK157)
| ~ m1_subset_1(X336,u1_struct_0(sK157))
| ~ m1_subset_1(X335,u1_struct_0(sK157))
| ~ r1_rlvect_1(X333,X336)
| ~ r1_rlvect_1(X334,X335)
| r1_rlvect_1(k8_group_4(sK157,X334,X333),k1_group_1(sK157,X335,X336))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ m1_group_2(X334,sK157)
| ~ m1_group_2(X333,sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38549]) ).
fof(f40009,plain,
( spl168_62
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f40004,f39008,f39003,f38968,f38953,f40006]) ).
fof(f40006,plain,
( spl168_62
<=> sQ167_eqProxy(k5_group_2(sK157),k5_lattices(k11_group_4(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_62])]) ).
fof(f40004,plain,
( sQ167_eqProxy(k5_group_2(sK157),k5_lattices(k11_group_4(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f40003,f39010]) ).
fof(f40003,plain,
( ~ l1_group_1(sK157)
| sQ167_eqProxy(k5_group_2(sK157),k5_lattices(k11_group_4(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f40002,f38970]) ).
fof(f40002,plain,
( sQ167_eqProxy(k5_group_2(sK157),k5_lattices(k11_group_4(sK157)))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39278,f39005]) ).
fof(f39278,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k5_group_2(sK157),k5_lattices(k11_group_4(sK157)))
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38740]) ).
fof(f39976,plain,
( spl168_61
| ~ spl168_38
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39972,f39008,f39003,f38968,f38953,f39575,f39974]) ).
fof(f39974,plain,
( spl168_61
<=> ! [X433] :
( ~ m1_group_2(X433,sK157)
| ~ v1_group_1(X433)
| sQ167_eqProxy(sK157,X433)
| ~ sQ167_eqProxy(u1_struct_0(sK157),u1_struct_0(X433)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_61])]) ).
fof(f39972,plain,
( ! [X433] :
( ~ v1_group_1(sK157)
| ~ m1_group_2(X433,sK157)
| ~ sQ167_eqProxy(u1_struct_0(sK157),u1_struct_0(X433))
| sQ167_eqProxy(sK157,X433)
| ~ v1_group_1(X433) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39971,f39010]) ).
fof(f39971,plain,
( ! [X433] :
( ~ sQ167_eqProxy(u1_struct_0(sK157),u1_struct_0(X433))
| ~ v1_group_1(sK157)
| sQ167_eqProxy(sK157,X433)
| ~ v1_group_1(X433)
| ~ m1_group_2(X433,sK157)
| ~ l1_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39970,f39005]) ).
fof(f39970,plain,
( ! [X433] :
( ~ v3_group_1(sK157)
| ~ v1_group_1(X433)
| ~ l1_group_1(sK157)
| ~ sQ167_eqProxy(u1_struct_0(sK157),u1_struct_0(X433))
| ~ v1_group_1(sK157)
| ~ m1_group_2(X433,sK157)
| sQ167_eqProxy(sK157,X433) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39257,f38970]) ).
fof(f39257,plain,
( ! [X433] :
( v3_struct_0(sK157)
| ~ sQ167_eqProxy(u1_struct_0(sK157),u1_struct_0(X433))
| ~ v3_group_1(sK157)
| ~ v1_group_1(X433)
| ~ v1_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ m1_group_2(X433,sK157)
| sQ167_eqProxy(sK157,X433) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38656]) ).
fof(f39966,plain,
( ~ spl168_16
| spl168_60
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39962,f39008,f39003,f38968,f38953,f39964,f39405]) ).
fof(f39962,plain,
( ! [X107] :
( v7_group_1(X107)
| ~ v7_group_1(sK157)
| ~ m1_group_2(X107,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39961,f38970]) ).
fof(f39961,plain,
( ! [X107] :
( v3_struct_0(sK157)
| ~ m1_group_2(X107,sK157)
| v7_group_1(X107)
| ~ v7_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39960,f39010]) ).
fof(f39960,plain,
( ! [X107] :
( v7_group_1(X107)
| ~ m1_group_2(X107,sK157)
| ~ l1_group_1(sK157)
| ~ v7_group_1(sK157)
| v3_struct_0(sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39094,f39005]) ).
fof(f39094,plain,
( ! [X107] :
( ~ v7_group_1(sK157)
| v7_group_1(X107)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X107,sK157)
| ~ l1_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37943]) ).
fof(f39959,plain,
( spl168_59
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39954,f39008,f39003,f38968,f38953,f39956]) ).
fof(f39956,plain,
( spl168_59
<=> sQ167_eqProxy(k2_group_1(sK157),k3_group_1(sK157,k2_group_1(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_59])]) ).
fof(f39954,plain,
( sQ167_eqProxy(k2_group_1(sK157),k3_group_1(sK157,k2_group_1(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39953,f38970]) ).
fof(f39953,plain,
( sQ167_eqProxy(k2_group_1(sK157),k3_group_1(sK157,k2_group_1(sK157)))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39952,f39005]) ).
fof(f39952,plain,
( sQ167_eqProxy(k2_group_1(sK157),k3_group_1(sK157,k2_group_1(sK157)))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39277,f39010]) ).
fof(f39277,plain,
( ~ l1_group_1(sK157)
| sQ167_eqProxy(k2_group_1(sK157),k3_group_1(sK157,k2_group_1(sK157)))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38736]) ).
fof(f39951,plain,
( ~ spl168_58
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39946,f39008,f39003,f38968,f38953,f39948]) ).
fof(f39948,plain,
( spl168_58
<=> v1_xboole_0(k1_group_3(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_58])]) ).
fof(f39946,plain,
( ~ v1_xboole_0(k1_group_3(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39945,f38970]) ).
fof(f39945,plain,
( v3_struct_0(sK157)
| ~ v1_xboole_0(k1_group_3(sK157))
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39944,f39010]) ).
fof(f39944,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v1_xboole_0(k1_group_3(sK157))
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39057,f39005]) ).
fof(f39057,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v1_xboole_0(k1_group_3(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37727]) ).
fof(f39934,plain,
( ~ spl168_18
| ~ spl168_20
| ~ spl168_21
| ~ spl168_23
| ~ spl168_50
| ~ spl168_26
| ~ spl168_22
| ~ spl168_19
| ~ spl168_27
| spl168_25
| spl168_57
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39930,f38968,f38953,f39932,f39466,f39474,f39442,f39454,f39470,f39846,f39458,f39450,f39446,f39438]) ).
fof(f39932,plain,
( spl168_57
<=> ! [X468] :
( m1_subset_1(sK67(sK157,X468),u1_struct_0(sK157))
| ~ m1_subset_1(X468,u1_struct_0(sK157))
| sQ167_eqProxy(k1_rlvect_1(sK157),X468) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_57])]) ).
fof(f39930,plain,
( ! [X468] :
( m1_subset_1(sK67(sK157,X468),u1_struct_0(sK157))
| v10_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X468)
| ~ v4_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v9_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ m1_subset_1(X468,u1_struct_0(sK157))
| ~ l3_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39279,f38970]) ).
fof(f39279,plain,
( ! [X468] :
( v3_struct_0(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ m1_subset_1(X468,u1_struct_0(sK157))
| v10_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v9_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X468)
| ~ v5_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| m1_subset_1(sK67(sK157,X468),u1_struct_0(sK157))
| ~ v7_vectsp_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38743]) ).
fof(f39929,plain,
( ~ spl168_21
| ~ spl168_20
| ~ spl168_23
| ~ spl168_18
| ~ spl168_27
| spl168_25
| ~ spl168_22
| ~ spl168_19
| spl168_56
| ~ spl168_50
| ~ spl168_26
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39925,f38968,f38953,f39470,f39846,f39927,f39442,f39454,f39466,f39474,f39438,f39458,f39446,f39450]) ).
fof(f39927,plain,
( spl168_56
<=> ! [X356,X357] :
( ~ m1_subset_1(X356,u1_struct_0(sK157))
| sQ167_eqProxy(k1_group_1(sK157,X356,X357),k2_group_1(sK157))
| ~ m1_subset_1(X357,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k1_group_1(sK157,X357,X356),k2_group_1(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_56])]) ).
fof(f39925,plain,
( ! [X357,X356] :
( ~ v3_rlvect_1(sK157)
| ~ v9_vectsp_1(sK157)
| ~ m1_subset_1(X356,u1_struct_0(sK157))
| ~ v7_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| v10_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ m1_subset_1(X357,u1_struct_0(sK157))
| ~ v6_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ sQ167_eqProxy(k1_group_1(sK157,X357,X356),k2_group_1(sK157))
| ~ v8_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| sQ167_eqProxy(k1_group_1(sK157,X356,X357),k2_group_1(sK157)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39216,f38970]) ).
fof(f39216,plain,
( ! [X357,X356] :
( ~ v6_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| v10_vectsp_1(sK157)
| ~ m1_subset_1(X356,u1_struct_0(sK157))
| sQ167_eqProxy(k1_group_1(sK157,X356,X357),k2_group_1(sK157))
| ~ l3_vectsp_1(sK157)
| ~ sQ167_eqProxy(k1_group_1(sK157,X357,X356),k2_group_1(sK157))
| v3_struct_0(sK157)
| ~ v9_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ m1_subset_1(X357,u1_struct_0(sK157))
| ~ v8_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38587]) ).
fof(f39918,plain,
( spl168_55
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39913,f39008,f39003,f38968,f38953,f39915]) ).
fof(f39915,plain,
( spl168_55
<=> v3_realset2(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_55])]) ).
fof(f39913,plain,
( v3_realset2(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39912,f38970]) ).
fof(f39912,plain,
( v3_realset2(k5_group_2(sK157))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39911,f39010]) ).
fof(f39911,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v3_realset2(k5_group_2(sK157))
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39154,f39005]) ).
fof(f39154,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| v3_realset2(k5_group_2(sK157))
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38221]) ).
fof(f39910,plain,
( spl168_50
| ~ spl168_21
| ~ spl168_18
| ~ spl168_22
| ~ spl168_19
| ~ spl168_26
| ~ spl168_23
| ~ spl168_20
| ~ spl168_27
| ~ spl168_24
| spl168_28
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39909,f38968,f38953,f39478,f39462,f39474,f39446,f39458,f39470,f39442,f39454,f39438,f39450,f39846]) ).
fof(f39462,plain,
( spl168_24
<=> sQ167_eqProxy(k1_rlvect_1(sK157),sK9(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_24])]) ).
fof(f39909,plain,
( sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),sK9(sK157))
| ~ v4_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| v9_vectsp_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39218,f38970]) ).
fof(f39218,plain,
( sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v8_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),sK9(sK157))
| ~ l3_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| v9_vectsp_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38600]) ).
fof(f39902,plain,
( ~ spl168_38
| spl168_54
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39898,f39008,f39003,f38968,f38953,f39900,f39575]) ).
fof(f39900,plain,
( spl168_54
<=> ! [X448,X449] :
( sQ167_eqProxy(k6_group_1(sK157,sK33(sK157,X448,X449),X448),X449)
| ~ m1_subset_1(X449,u1_struct_0(sK157))
| ~ m1_subset_1(X448,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X448)),sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_54])]) ).
fof(f39898,plain,
( ! [X448,X449] :
( sQ167_eqProxy(k6_group_1(sK157,sK33(sK157,X448,X449),X448),X449)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X448)),sK157)
| ~ m1_subset_1(X448,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X449,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39897,f39010]) ).
fof(f39897,plain,
( ! [X448,X449] :
( sQ167_eqProxy(k6_group_1(sK157,sK33(sK157,X448,X449),X448),X449)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X448,u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X448)),sK157)
| ~ m1_subset_1(X449,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39896,f39005]) ).
fof(f39896,plain,
( ! [X448,X449] :
( ~ v3_group_1(sK157)
| ~ m1_subset_1(X449,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X448)),sK157)
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X448,u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| sQ167_eqProxy(k6_group_1(sK157,sK33(sK157,X448,X449),X448),X449) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39268,f38970]) ).
fof(f39268,plain,
( ! [X448,X449] :
( v3_struct_0(sK157)
| sQ167_eqProxy(k6_group_1(sK157,sK33(sK157,X448,X449),X448),X449)
| ~ m1_subset_1(X448,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ m1_subset_1(X449,u1_struct_0(sK157))
| ~ sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X448)),sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38684]) ).
fof(f39880,plain,
( spl168_53
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39875,f39008,f39003,f38968,f38953,f39877]) ).
fof(f39877,plain,
( spl168_53
<=> v7_group_1(k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_53])]) ).
fof(f39875,plain,
( v7_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39874,f39005]) ).
fof(f39874,plain,
( v7_group_1(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39873,f38970]) ).
fof(f39873,plain,
( v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| v7_group_1(k5_group_2(sK157))
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39119,f39010]) ).
fof(f39119,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v7_group_1(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38069]) ).
fof(f39866,plain,
( spl168_52
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39861,f39008,f39003,f38968,f38953,f39863]) ).
fof(f39863,plain,
( spl168_52
<=> v1_funct_1(k6_partfun1(u1_struct_0(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_52])]) ).
fof(f39861,plain,
( v1_funct_1(k6_partfun1(u1_struct_0(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39860,f38970]) ).
fof(f39860,plain,
( v1_funct_1(k6_partfun1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39859,f39005]) ).
fof(f39859,plain,
( v1_funct_1(k6_partfun1(u1_struct_0(sK157)))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39039,f39010]) ).
fof(f39039,plain,
( ~ l1_group_1(sK157)
| v1_funct_1(k6_partfun1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37632]) ).
fof(f39852,plain,
( ~ spl168_18
| ~ spl168_26
| ~ spl168_27
| ~ spl168_50
| spl168_51
| ~ spl168_19
| ~ spl168_21
| spl168_25
| ~ spl168_22
| ~ spl168_20
| ~ spl168_23
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39844,f38968,f38953,f39458,f39446,f39454,f39466,f39450,f39442,f39850,f39846,f39474,f39470,f39438]) ).
fof(f39850,plain,
( spl168_51
<=> ! [X469] :
( sQ167_eqProxy(k1_rlvect_1(sK157),X469)
| ~ m1_subset_1(X469,u1_struct_0(sK157))
| sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK67(sK157,X469),X469)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_51])]) ).
fof(f39844,plain,
( ! [X469] :
( ~ v6_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| v10_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X469)
| ~ v9_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK67(sK157,X469),X469))
| ~ v6_vectsp_1(sK157)
| ~ m1_subset_1(X469,u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39280,f38970]) ).
fof(f39280,plain,
( ! [X469] :
( ~ v7_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK67(sK157,X469),X469))
| ~ v9_vectsp_1(sK157)
| v3_struct_0(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v6_vectsp_1(sK157)
| v10_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),X469)
| ~ v4_rlvect_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ m1_subset_1(X469,u1_struct_0(sK157))
| ~ v3_rlvect_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38744]) ).
fof(f39843,plain,
( spl168_49
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39838,f39008,f39003,f38968,f38953,f39840]) ).
fof(f39840,plain,
( spl168_49
<=> m1_group_2(sK157,sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_49])]) ).
fof(f39838,plain,
( m1_group_2(sK157,sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39837,f38970]) ).
fof(f39837,plain,
( m1_group_2(sK157,sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39836,f39005]) ).
fof(f39836,plain,
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| m1_group_2(sK157,sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39120,f39010]) ).
fof(f39120,plain,
( m1_group_2(sK157,sK157)
| ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38082]) ).
fof(f39829,plain,
( spl168_48
| ~ spl168_16
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39825,f39008,f39003,f38968,f38953,f39405,f39827]) ).
fof(f39827,plain,
( spl168_48
<=> ! [X157,X156,X158] :
( m1_subset_1(sK99(X156,sK157,X157,X158),u1_struct_0(sK157))
| ~ m1_group_2(X158,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X157,X158),X156)
| ~ m1_group_2(X157,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_48])]) ).
fof(f39825,plain,
( ! [X158,X156,X157] :
( ~ v7_group_1(sK157)
| m1_subset_1(sK99(X156,sK157,X157,X158),u1_struct_0(sK157))
| ~ m1_group_2(X157,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X157,X158),X156)
| ~ m1_group_2(X158,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39824,f39010]) ).
fof(f39824,plain,
( ! [X158,X156,X157] :
( ~ m1_group_2(X158,sK157)
| ~ l1_group_1(sK157)
| ~ v7_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X157,X158),X156)
| ~ m1_group_2(X157,sK157)
| m1_subset_1(sK99(X156,sK157,X157,X158),u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39823,f38970]) ).
fof(f39823,plain,
( ! [X158,X156,X157] :
( v3_struct_0(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X157,X158),X156)
| m1_subset_1(sK99(X156,sK157,X157,X158),u1_struct_0(sK157))
| ~ m1_group_2(X158,sK157)
| ~ m1_group_2(X157,sK157)
| ~ l1_group_1(sK157)
| ~ v7_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39117,f39005]) ).
fof(f39117,plain,
( ! [X158,X156,X157] :
( ~ m1_group_2(X157,sK157)
| ~ v3_group_1(sK157)
| ~ m1_group_2(X158,sK157)
| ~ l1_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X157,X158),X156)
| ~ v7_group_1(sK157)
| m1_subset_1(sK99(X156,sK157,X157,X158),u1_struct_0(sK157))
| v3_struct_0(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38031]) ).
fof(f39804,plain,
( spl168_47
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39799,f39008,f39003,f38968,f38953,f39801]) ).
fof(f39799,plain,
( v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39798,f39005]) ).
fof(f39798,plain,
( ~ v3_group_1(sK157)
| v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39797,f38970]) ).
fof(f39797,plain,
( v3_struct_0(sK157)
| v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39182,f39010]) ).
fof(f39182,plain,
( ~ l1_group_1(sK157)
| v1_funct_2(k1_latsubgr(sK157),k1_group_3(sK157),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38358]) ).
fof(f39751,plain,
( spl168_32
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39750,f39008,f39003,f38968,f38953,f39525]) ).
fof(f39750,plain,
( v1_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39749,f39005]) ).
fof(f39749,plain,
( ~ v3_group_1(sK157)
| v1_group_1(k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39748,f38970]) ).
fof(f39748,plain,
( v3_struct_0(sK157)
| v1_group_1(k5_group_2(sK157))
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39144,f39010]) ).
fof(f39144,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| v1_group_1(k5_group_2(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38170]) ).
fof(f39725,plain,
( spl168_46
| ~ spl168_38
| ~ spl168_29
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39720,f39008,f39003,f38968,f38953,f39496,f39575,f39722]) ).
fof(f39722,plain,
( spl168_46
<=> sQ167_eqProxy(k5_group_2(sK157),sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_46])]) ).
fof(f39720,plain,
( ~ v3_realset2(sK157)
| ~ v1_group_1(sK157)
| sQ167_eqProxy(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39719,f38970]) ).
fof(f39719,plain,
( sQ167_eqProxy(k5_group_2(sK157),sK157)
| v3_struct_0(sK157)
| ~ v1_group_1(sK157)
| ~ v3_realset2(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39718,f39010]) ).
fof(f39718,plain,
( ~ v1_group_1(sK157)
| ~ v3_realset2(sK157)
| sQ167_eqProxy(k5_group_2(sK157),sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39262,f39005]) ).
fof(f39262,plain,
( ~ v3_group_1(sK157)
| ~ v1_group_1(sK157)
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| ~ v3_realset2(sK157)
| sQ167_eqProxy(k5_group_2(sK157),sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38673]) ).
fof(f39708,plain,
( spl168_45
| ~ spl168_16
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39704,f39008,f39003,f38968,f38953,f39405,f39706]) ).
fof(f39706,plain,
( spl168_45
<=> ! [X153,X155,X154] :
( r1_rlvect_1(X154,sK100(X155,sK157,X153,X154))
| ~ m1_group_2(X153,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X153,X154),X155)
| ~ m1_group_2(X154,sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_45])]) ).
fof(f39704,plain,
( ! [X155,X153,X154] :
( ~ v7_group_1(sK157)
| r1_rlvect_1(X154,sK100(X155,sK157,X153,X154))
| ~ m1_group_2(X154,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X153,X154),X155)
| ~ m1_group_2(X153,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39703,f38970]) ).
fof(f39703,plain,
( ! [X155,X153,X154] :
( v3_struct_0(sK157)
| ~ m1_group_2(X154,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X153,X154),X155)
| r1_rlvect_1(X154,sK100(X155,sK157,X153,X154))
| ~ m1_group_2(X153,sK157)
| ~ v7_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39702,f39010]) ).
fof(f39702,plain,
( ! [X155,X153,X154] :
( ~ v7_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X153,X154),X155)
| ~ l1_group_1(sK157)
| r1_rlvect_1(X154,sK100(X155,sK157,X153,X154))
| ~ m1_group_2(X153,sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X154,sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39116,f39005]) ).
fof(f39116,plain,
( ! [X155,X153,X154] :
( ~ v3_group_1(sK157)
| ~ v7_group_1(sK157)
| r1_rlvect_1(X154,sK100(X155,sK157,X153,X154))
| ~ m1_group_2(X153,sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X154,sK157)
| ~ l1_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X153,X154),X155) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38029]) ).
fof(f39698,plain,
( ~ spl168_23
| ~ spl168_21
| ~ spl168_18
| ~ spl168_20
| ~ spl168_22
| ~ spl168_25
| spl168_44
| ~ spl168_26
| ~ spl168_27
| ~ spl168_19
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39693,f38968,f38953,f39442,f39474,f39470,f39695,f39466,f39454,f39446,f39438,f39450,f39458]) ).
fof(f39693,plain,
( ~ v7_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| m1_subset_1(sK9(sK157),u1_struct_0(sK157))
| ~ v10_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39029,f38970]) ).
fof(f39029,plain,
( ~ v7_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| v3_struct_0(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| m1_subset_1(sK9(sK157),u1_struct_0(sK157))
| ~ l3_vectsp_1(sK157)
| ~ v10_vectsp_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37505]) ).
fof(f39692,plain,
( spl168_31
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39691,f39008,f39003,f38968,f38953,f39521]) ).
fof(f39521,plain,
( spl168_31
<=> m1_group_2(k5_group_2(sK157),sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_31])]) ).
fof(f39691,plain,
( m1_group_2(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39690,f39010]) ).
fof(f39690,plain,
( ~ l1_group_1(sK157)
| m1_group_2(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39689,f39005]) ).
fof(f39689,plain,
( ~ v3_group_1(sK157)
| m1_group_2(k5_group_2(sK157),sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39145,f38970]) ).
fof(f39145,plain,
( v3_struct_0(sK157)
| m1_group_2(k5_group_2(sK157),sK157)
| ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38171]) ).
fof(f39667,plain,
( ~ spl168_42
| spl168_43
| ~ spl168_38
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39659,f39008,f39003,f38968,f38953,f39575,f39665,f39661]) ).
fof(f39665,plain,
( spl168_43
<=> ! [X612] :
( sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X612)),sK157)
| ~ m1_subset_1(X612,u1_struct_0(sK157))
| m1_subset_1(sK165(sK157,X612),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_43])]) ).
fof(f39659,plain,
( ! [X612] :
( ~ v1_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X612)),sK157)
| m1_subset_1(sK165(sK157,X612),u1_struct_0(sK157))
| ~ m1_subset_1(X612,u1_struct_0(sK157))
| ~ v6_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39658,f38970]) ).
fof(f39658,plain,
( ! [X612] :
( ~ v1_group_1(sK157)
| m1_subset_1(sK165(sK157,X612),u1_struct_0(sK157))
| ~ v6_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X612,u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X612)),sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39657,f39005]) ).
fof(f39657,plain,
( ! [X612] :
( ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X612,u1_struct_0(sK157))
| m1_subset_1(sK165(sK157,X612),u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| ~ v6_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X612)),sK157) )
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39347,f39010]) ).
fof(f39347,plain,
( ! [X612] :
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X612)),sK157)
| ~ v1_group_1(sK157)
| m1_subset_1(sK165(sK157,X612),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ v6_group_1(sK157)
| ~ m1_subset_1(X612,u1_struct_0(sK157)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38934]) ).
fof(f39627,plain,
( ~ spl168_16
| spl168_41
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39623,f39008,f39003,f38968,f38953,f39625,f39405]) ).
fof(f39625,plain,
( spl168_41
<=> ! [X149,X148,X147] :
( ~ m1_group_2(X148,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X147,X148),X149)
| ~ m1_group_2(X147,sK157)
| m1_subset_1(sK100(X149,sK157,X147,X148),u1_struct_0(sK157)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_41])]) ).
fof(f39623,plain,
( ! [X148,X149,X147] :
( ~ m1_group_2(X148,sK157)
| ~ v7_group_1(sK157)
| m1_subset_1(sK100(X149,sK157,X147,X148),u1_struct_0(sK157))
| ~ m1_group_2(X147,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X147,X148),X149) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39622,f39010]) ).
fof(f39622,plain,
( ! [X148,X149,X147] :
( ~ v7_group_1(sK157)
| ~ m1_group_2(X148,sK157)
| ~ l1_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X147,X148),X149)
| ~ m1_group_2(X147,sK157)
| m1_subset_1(sK100(X149,sK157,X147,X148),u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39621,f39005]) ).
fof(f39621,plain,
( ! [X148,X149,X147] :
( ~ v3_group_1(sK157)
| ~ m1_group_2(X148,sK157)
| ~ m1_group_2(X147,sK157)
| ~ v7_group_1(sK157)
| ~ l1_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X147,X148),X149)
| m1_subset_1(sK100(X149,sK157,X147,X148),u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39114,f38970]) ).
fof(f39114,plain,
( ! [X148,X149,X147] :
( ~ m1_group_2(X147,sK157)
| v3_struct_0(sK157)
| ~ v7_group_1(sK157)
| ~ m1_group_2(X148,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X147,X148),X149)
| ~ l1_group_1(sK157)
| m1_subset_1(sK100(X149,sK157,X147,X148),u1_struct_0(sK157))
| ~ v3_group_1(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38026]) ).
fof(f39620,plain,
( spl168_40
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39615,f39008,f39003,f38968,f38953,f39617]) ).
fof(f39617,plain,
( spl168_40
<=> sQ167_eqProxy(k1_group_3(sK157),u1_struct_0(k11_group_4(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_40])]) ).
fof(f39615,plain,
( sQ167_eqProxy(k1_group_3(sK157),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39614,f39005]) ).
fof(f39614,plain,
( sQ167_eqProxy(k1_group_3(sK157),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39613,f38970]) ).
fof(f39613,plain,
( v3_struct_0(sK157)
| sQ167_eqProxy(k1_group_3(sK157),u1_struct_0(k11_group_4(sK157)))
| ~ v3_group_1(sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39302,f39010]) ).
fof(f39302,plain,
( ~ l1_group_1(sK157)
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k1_group_3(sK157),u1_struct_0(k11_group_4(sK157)))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38815]) ).
fof(f39585,plain,
( ~ spl168_38
| spl168_39
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39581,f39008,f39003,f38968,f38953,f39583,f39575]) ).
fof(f39583,plain,
( spl168_39
<=> ! [X57,X55,X56] :
( ~ v1_group_1(X56)
| v1_group_3(k9_group_2(sK157,X56,X55),k9_group_2(sK157,X57,X55))
| ~ m1_group_2(X55,sK157)
| ~ v1_group_1(X55)
| ~ m1_group_2(X56,sK157)
| ~ m1_group_2(X57,sK157)
| ~ m1_group_6(X56,sK157,X57)
| ~ v1_group_1(X57)
| ~ v1_group_3(X56,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_39])]) ).
fof(f39581,plain,
( ! [X56,X57,X55] :
( ~ v1_group_1(X56)
| ~ v1_group_1(sK157)
| ~ v1_group_3(X56,X57)
| ~ v1_group_1(X57)
| ~ m1_group_6(X56,sK157,X57)
| ~ m1_group_2(X57,sK157)
| ~ m1_group_2(X56,sK157)
| ~ m1_group_2(X55,sK157)
| ~ v1_group_1(X55)
| v1_group_3(k9_group_2(sK157,X56,X55),k9_group_2(sK157,X57,X55)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39580,f38970]) ).
fof(f39580,plain,
( ! [X56,X57,X55] :
( ~ v1_group_1(X57)
| ~ v1_group_1(X56)
| ~ m1_group_6(X56,sK157,X57)
| ~ v1_group_3(X56,X57)
| ~ m1_group_2(X55,sK157)
| ~ m1_group_2(X56,sK157)
| v3_struct_0(sK157)
| ~ v1_group_1(X55)
| v1_group_3(k9_group_2(sK157,X56,X55),k9_group_2(sK157,X57,X55))
| ~ v1_group_1(sK157)
| ~ m1_group_2(X57,sK157) )
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39579,f39010]) ).
fof(f39579,plain,
( ! [X56,X57,X55] :
( ~ v1_group_1(X56)
| ~ l1_group_1(sK157)
| ~ v1_group_1(X55)
| ~ v1_group_1(X57)
| v3_struct_0(sK157)
| ~ m1_group_2(X57,sK157)
| v1_group_3(k9_group_2(sK157,X56,X55),k9_group_2(sK157,X57,X55))
| ~ v1_group_1(sK157)
| ~ m1_group_2(X55,sK157)
| ~ m1_group_6(X56,sK157,X57)
| ~ m1_group_2(X56,sK157)
| ~ v1_group_3(X56,X57) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39050,f39005]) ).
fof(f39050,plain,
( ! [X56,X57,X55] :
( ~ v3_group_1(sK157)
| ~ v1_group_3(X56,X57)
| v1_group_3(k9_group_2(sK157,X56,X55),k9_group_2(sK157,X57,X55))
| ~ m1_group_2(X56,sK157)
| v3_struct_0(sK157)
| ~ m1_group_2(X57,sK157)
| ~ m1_group_6(X56,sK157,X57)
| ~ v1_group_1(X55)
| ~ v1_group_1(X57)
| ~ l1_group_1(sK157)
| ~ v1_group_1(X56)
| ~ v1_group_1(sK157)
| ~ m1_group_2(X55,sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37666]) ).
fof(f39578,plain,
( spl168_37
| ~ spl168_38
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39570,f39008,f39003,f38968,f38953,f39575,f39572]) ).
fof(f39572,plain,
( spl168_37
<=> ! [X443] :
( ~ m1_subset_1(X443,u1_struct_0(sK157))
| m1_subset_1(sK32(sK157,X443),u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X443)),sK157) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_37])]) ).
fof(f39570,plain,
( ! [X443] :
( ~ v1_group_1(sK157)
| ~ m1_subset_1(X443,u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X443)),sK157)
| m1_subset_1(sK32(sK157,X443),u1_struct_0(sK157)) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39569,f39010]) ).
fof(f39569,plain,
( ! [X443] :
( ~ m1_subset_1(X443,u1_struct_0(sK157))
| ~ v1_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X443)),sK157)
| m1_subset_1(sK32(sK157,X443),u1_struct_0(sK157))
| ~ l1_group_1(sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39568,f38970]) ).
fof(f39568,plain,
( ! [X443] :
( ~ v1_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(X443,u1_struct_0(sK157))
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X443)),sK157)
| m1_subset_1(sK32(sK157,X443),u1_struct_0(sK157))
| ~ l1_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39265,f39005]) ).
fof(f39265,plain,
( ! [X443] :
( ~ m1_subset_1(X443,u1_struct_0(sK157))
| ~ v3_group_1(sK157)
| sQ167_eqProxy(k5_group_4(sK157,k1_struct_0(sK157,X443)),sK157)
| ~ v1_group_1(sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| m1_subset_1(sK32(sK157,X443),u1_struct_0(sK157)) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38681]) ).
fof(f39558,plain,
( ~ spl168_19
| spl168_28
| ~ spl168_22
| ~ spl168_23
| spl168_36
| ~ spl168_27
| ~ spl168_26
| ~ spl168_18
| ~ spl168_21
| ~ spl168_20
| ~ spl168_25
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39554,f38968,f38953,f39466,f39446,f39450,f39438,f39470,f39474,f39556,f39458,f39454,f39478,f39442]) ).
fof(f39554,plain,
( ! [X360] :
( ~ v10_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ m1_subset_1(X360,u1_struct_0(sK157))
| ~ v6_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v7_vectsp_1(sK157)
| ~ sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK9(sK157),X360)) )
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39220,f38970]) ).
fof(f39220,plain,
( ! [X360] :
( ~ v6_vectsp_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ sQ167_eqProxy(k2_group_1(sK157),k1_group_1(sK157,sK9(sK157),X360))
| ~ l3_vectsp_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v10_vectsp_1(sK157)
| ~ m1_subset_1(X360,u1_struct_0(sK157))
| ~ v8_vectsp_1(sK157)
| v3_struct_0(sK157) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38602]) ).
fof(f39547,plain,
( ~ spl168_34
| spl168_35
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39538,f39008,f39003,f38968,f38953,f39544,f39540]) ).
fof(f39540,plain,
( spl168_34
<=> m1_subset_1(k18_group_2(u1_struct_0(sK157),k2_group_1(sK157)),k1_zfmisc_1(u1_struct_0(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_34])]) ).
fof(f39544,plain,
( spl168_35
<=> r1_group_2(sK157,k5_group_4(sK157,k18_group_2(u1_struct_0(sK157),k2_group_1(sK157))),k5_group_2(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_35])]) ).
fof(f39538,plain,
( r1_group_2(sK157,k5_group_4(sK157,k18_group_2(u1_struct_0(sK157),k2_group_1(sK157))),k5_group_2(sK157))
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK157),k2_group_1(sK157)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39537,f39010]) ).
fof(f39537,plain,
( ~ l1_group_1(sK157)
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK157),k2_group_1(sK157)),k1_zfmisc_1(u1_struct_0(sK157)))
| r1_group_2(sK157,k5_group_4(sK157,k18_group_2(u1_struct_0(sK157),k2_group_1(sK157))),k5_group_2(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39536,f38970]) ).
fof(f39536,plain,
( ~ m1_subset_1(k18_group_2(u1_struct_0(sK157),k2_group_1(sK157)),k1_zfmisc_1(u1_struct_0(sK157)))
| v3_struct_0(sK157)
| ~ l1_group_1(sK157)
| r1_group_2(sK157,k5_group_4(sK157,k18_group_2(u1_struct_0(sK157),k2_group_1(sK157))),k5_group_2(sK157))
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39205,f39005]) ).
fof(f39205,plain,
( r1_group_2(sK157,k5_group_4(sK157,k18_group_2(u1_struct_0(sK157),k2_group_1(sK157))),k5_group_2(sK157))
| ~ v3_group_1(sK157)
| v3_struct_0(sK157)
| ~ m1_subset_1(k18_group_2(u1_struct_0(sK157),k2_group_1(sK157)),k1_zfmisc_1(u1_struct_0(sK157)))
| ~ l1_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38550]) ).
fof(f39532,plain,
( ~ spl168_31
| ~ spl168_32
| spl168_33
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39519,f39008,f39003,f38968,f38953,f39529,f39525,f39521]) ).
fof(f39529,plain,
( spl168_33
<=> sQ167_eqProxy(k6_domain_1(u1_struct_0(sK157),k2_group_1(sK157)),u1_struct_0(k5_group_2(sK157))) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_33])]) ).
fof(f39519,plain,
( sQ167_eqProxy(k6_domain_1(u1_struct_0(sK157),k2_group_1(sK157)),u1_struct_0(k5_group_2(sK157)))
| ~ v1_group_1(k5_group_2(sK157))
| ~ m1_group_2(k5_group_2(sK157),sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39518,f38970]) ).
fof(f39518,plain,
( ~ v1_group_1(k5_group_2(sK157))
| ~ m1_group_2(k5_group_2(sK157),sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK157),k2_group_1(sK157)),u1_struct_0(k5_group_2(sK157)))
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39517,f39005]) ).
fof(f39517,plain,
( ~ v3_group_1(sK157)
| ~ v1_group_1(k5_group_2(sK157))
| ~ m1_group_2(k5_group_2(sK157),sK157)
| v3_struct_0(sK157)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK157),k2_group_1(sK157)),u1_struct_0(k5_group_2(sK157)))
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39234,f39010]) ).
fof(f39234,plain,
( ~ l1_group_1(sK157)
| sQ167_eqProxy(k6_domain_1(u1_struct_0(sK157),k2_group_1(sK157)),u1_struct_0(k5_group_2(sK157)))
| ~ m1_group_2(k5_group_2(sK157),sK157)
| v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| ~ v1_group_1(k5_group_2(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38631]) ).
fof(f39516,plain,
( spl168_30
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39511,f39008,f39003,f38968,f38953,f39513]) ).
fof(f39513,plain,
( spl168_30
<=> v1_group_6(k6_partfun1(u1_struct_0(sK157)),sK157,sK157) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_30])]) ).
fof(f39511,plain,
( v1_group_6(k6_partfun1(u1_struct_0(sK157)),sK157,sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39510,f39005]) ).
fof(f39510,plain,
( v1_group_6(k6_partfun1(u1_struct_0(sK157)),sK157,sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2
| spl168_5
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39509,f38970]) ).
fof(f39509,plain,
( v3_struct_0(sK157)
| ~ v3_group_1(sK157)
| v1_group_6(k6_partfun1(u1_struct_0(sK157)),sK157,sK157)
| ~ spl168_2
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39038,f39010]) ).
fof(f39038,plain,
( ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v1_group_6(k6_partfun1(u1_struct_0(sK157)),sK157,sK157)
| ~ v3_group_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37631]) ).
fof(f39499,plain,
( ~ spl168_18
| ~ spl168_21
| ~ spl168_20
| ~ spl168_23
| spl168_29
| ~ spl168_19
| ~ spl168_26
| ~ spl168_28
| ~ spl168_27
| ~ spl168_22
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39494,f38968,f38953,f39454,f39474,f39478,f39470,f39442,f39496,f39458,f39446,f39450,f39438]) ).
fof(f39494,plain,
( ~ v5_rlvect_1(sK157)
| ~ v4_rlvect_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v3_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| v3_realset2(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39271,f38970]) ).
fof(f39271,plain,
( ~ sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v3_rlvect_1(sK157)
| ~ v7_vectsp_1(sK157)
| v3_realset2(sK157)
| ~ v4_rlvect_1(sK157)
| ~ v6_rlvect_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ v5_rlvect_1(sK157)
| v3_struct_0(sK157)
| ~ v8_vectsp_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38709]) ).
fof(f39481,plain,
( ~ spl168_18
| ~ spl168_19
| ~ spl168_20
| ~ spl168_21
| ~ spl168_22
| ~ spl168_23
| ~ spl168_24
| ~ spl168_25
| ~ spl168_26
| ~ spl168_27
| spl168_28
| ~ spl168_2
| spl168_5 ),
inference(avatar_split_clause,[],[f39436,f38968,f38953,f39478,f39474,f39470,f39466,f39462,f39458,f39454,f39450,f39446,f39442,f39438]) ).
fof(f39436,plain,
( sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v4_rlvect_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ v10_vectsp_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),sK9(sK157))
| ~ v6_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| ~ l3_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v6_vectsp_1(sK157)
| ~ spl168_2
| spl168_5 ),
inference(subsumption_resolution,[],[f39219,f38970]) ).
fof(f39219,plain,
( ~ v4_rlvect_1(sK157)
| ~ v5_rlvect_1(sK157)
| v3_struct_0(sK157)
| ~ v6_vectsp_1(sK157)
| ~ sQ167_eqProxy(k1_rlvect_1(sK157),sK9(sK157))
| ~ v6_rlvect_1(sK157)
| ~ l3_vectsp_1(sK157)
| sQ167_eqProxy(k1_rlvect_1(sK157),k2_group_1(sK157))
| ~ v10_vectsp_1(sK157)
| ~ v7_vectsp_1(sK157)
| ~ v8_vectsp_1(sK157)
| ~ v3_rlvect_1(sK157)
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38601]) ).
fof(f39411,plain,
( ~ spl168_16
| spl168_17
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39403,f39008,f39003,f38968,f38953,f39409,f39405]) ).
fof(f39409,plain,
( spl168_17
<=> ! [X513,X514,X512] :
( ~ m1_group_2(X514,sK157)
| sQ167_eqProxy(k1_group_1(sK157,sK99(X513,sK157,X514,X512),sK100(X513,sK157,X514,X512)),X513)
| ~ m1_group_2(X512,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X514,X512),X513) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_17])]) ).
fof(f39403,plain,
( ! [X513,X512,X514] :
( ~ m1_group_2(X514,sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X514,X512),X513)
| ~ m1_group_2(X512,sK157)
| ~ v7_group_1(sK157)
| sQ167_eqProxy(k1_group_1(sK157,sK99(X513,sK157,X514,X512),sK100(X513,sK157,X514,X512)),X513) )
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39402,f39010]) ).
fof(f39402,plain,
( ! [X513,X512,X514] :
( sQ167_eqProxy(k1_group_1(sK157,sK99(X513,sK157,X514,X512),sK100(X513,sK157,X514,X512)),X513)
| ~ v7_group_1(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X514,X512),X513)
| ~ l1_group_1(sK157)
| ~ m1_group_2(X512,sK157)
| ~ m1_group_2(X514,sK157) )
| ~ spl168_2
| spl168_5
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39401,f38970]) ).
fof(f39401,plain,
( ! [X513,X512,X514] :
( v3_struct_0(sK157)
| ~ m1_group_2(X514,sK157)
| ~ m1_group_2(X512,sK157)
| sQ167_eqProxy(k1_group_1(sK157,sK99(X513,sK157,X514,X512),sK100(X513,sK157,X514,X512)),X513)
| ~ r1_rlvect_1(k8_group_4(sK157,X514,X512),X513)
| ~ l1_group_1(sK157)
| ~ v7_group_1(sK157) )
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39301,f39005]) ).
fof(f39301,plain,
( ! [X513,X512,X514] :
( ~ m1_group_2(X514,sK157)
| ~ v3_group_1(sK157)
| ~ v7_group_1(sK157)
| ~ m1_group_2(X512,sK157)
| v3_struct_0(sK157)
| ~ r1_rlvect_1(k8_group_4(sK157,X514,X512),X513)
| ~ l1_group_1(sK157)
| sQ167_eqProxy(k1_group_1(sK157,sK99(X513,sK157,X514,X512),sK100(X513,sK157,X514,X512)),X513) )
| ~ spl168_2 ),
inference(resolution,[],[f38955,f38810]) ).
fof(f39363,plain,
( spl168_15
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(avatar_split_clause,[],[f39358,f39008,f39003,f38968,f38953,f39360]) ).
fof(f39360,plain,
( spl168_15
<=> v1_funct_2(k6_partfun1(u1_struct_0(sK157)),u1_struct_0(sK157),u1_struct_0(sK157)) ),
introduced(avatar_definition,[new_symbols(naming,[spl168_15])]) ).
fof(f39358,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK157)),u1_struct_0(sK157),u1_struct_0(sK157))
| ~ spl168_2
| spl168_5
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39357,f38970]) ).
fof(f39357,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK157)),u1_struct_0(sK157),u1_struct_0(sK157))
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12
| ~ spl168_13 ),
inference(subsumption_resolution,[],[f39356,f39010]) ).
fof(f39356,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK157)),u1_struct_0(sK157),u1_struct_0(sK157))
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| ~ spl168_2
| ~ spl168_12 ),
inference(subsumption_resolution,[],[f39040,f39005]) ).
fof(f39040,plain,
( ~ v3_group_1(sK157)
| ~ l1_group_1(sK157)
| v3_struct_0(sK157)
| v1_funct_2(k6_partfun1(u1_struct_0(sK157)),u1_struct_0(sK157),u1_struct_0(sK157))
| ~ spl168_2 ),
inference(resolution,[],[f38955,f37633]) ).
fof(f39016,plain,
~ spl168_14,
inference(avatar_split_clause,[],[f38324,f39013]) ).
fof(f38324,plain,
~ m1_lattice4(k3_latsubgr(sK156,sK157,sK158),k11_group_4(sK156),k11_group_4(sK157)),
inference(cnf_transformation,[],[f37337]) ).
fof(f37337,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( ? [X2] :
( v1_funct_1(X2)
& ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v2_funct_1(X2)
& v1_group_6(X2,X0,X1) )
& v3_group_1(X1)
& v4_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) ) ),
inference(flattening,[],[f37336]) ).
fof(f37336,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
& v2_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1) )
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) ),
inference(ennf_transformation,[],[f36531]) ).
fof(f36531,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
inference(negated_conjecture,[],[f36530]) ).
fof(f36530,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(f39011,plain,
spl168_13,
inference(avatar_split_clause,[],[f38326,f39008]) ).
fof(f38326,plain,
l1_group_1(sK157),
inference(cnf_transformation,[],[f37337]) ).
fof(f39006,plain,
spl168_12,
inference(avatar_split_clause,[],[f38329,f39003]) ).
fof(f38329,plain,
v3_group_1(sK157),
inference(cnf_transformation,[],[f37337]) ).
fof(f39001,plain,
spl168_11,
inference(avatar_split_clause,[],[f38323,f38998]) ).
fof(f38323,plain,
v1_funct_2(sK158,u1_struct_0(sK156),u1_struct_0(sK157)),
inference(cnf_transformation,[],[f37337]) ).
fof(f38996,plain,
spl168_10,
inference(avatar_split_clause,[],[f38321,f38993]) ).
fof(f38321,plain,
v2_funct_1(sK158),
inference(cnf_transformation,[],[f37337]) ).
fof(f38991,plain,
spl168_9,
inference(avatar_split_clause,[],[f38325,f38988]) ).
fof(f38325,plain,
v1_funct_1(sK158),
inference(cnf_transformation,[],[f37337]) ).
fof(f38986,plain,
spl168_8,
inference(avatar_split_clause,[],[f38333,f38983]) ).
fof(f38333,plain,
l1_group_1(sK156),
inference(cnf_transformation,[],[f37337]) ).
fof(f38981,plain,
~ spl168_7,
inference(avatar_split_clause,[],[f38330,f38978]) ).
fof(f38330,plain,
~ v3_struct_0(sK156),
inference(cnf_transformation,[],[f37337]) ).
fof(f38976,plain,
spl168_6,
inference(avatar_split_clause,[],[f38332,f38973]) ).
fof(f38332,plain,
v4_group_1(sK156),
inference(cnf_transformation,[],[f37337]) ).
fof(f38971,plain,
~ spl168_5,
inference(avatar_split_clause,[],[f38327,f38968]) ).
fof(f38327,plain,
~ v3_struct_0(sK157),
inference(cnf_transformation,[],[f37337]) ).
fof(f38966,plain,
spl168_4,
inference(avatar_split_clause,[],[f38320,f38963]) ).
fof(f38320,plain,
v1_group_6(sK158,sK156,sK157),
inference(cnf_transformation,[],[f37337]) ).
fof(f38961,plain,
spl168_3,
inference(avatar_split_clause,[],[f38331,f38958]) ).
fof(f38331,plain,
v3_group_1(sK156),
inference(cnf_transformation,[],[f37337]) ).
fof(f38956,plain,
spl168_2,
inference(avatar_split_clause,[],[f38328,f38953]) ).
fof(f38328,plain,
v4_group_1(sK157),
inference(cnf_transformation,[],[f37337]) ).
fof(f38951,plain,
spl168_1,
inference(avatar_split_clause,[],[f38322,f38948]) ).
fof(f38322,plain,
m2_relset_1(sK158,u1_struct_0(sK156),u1_struct_0(sK157)),
inference(cnf_transformation,[],[f37337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : GRP653+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 22:34:34 EDT 2022
% 0.09/0.31 % CPUTime :
% 2.82/3.06 % (831)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/12Mi)
% 2.83/3.11 % (828)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/39Mi)
% 2.83/3.12 % (831)Instruction limit reached!
% 2.83/3.12 % (831)------------------------------
% 2.83/3.12 % (831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/3.12 % (824)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/51Mi)
% 2.83/3.12 % (827)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/39Mi)
% 2.83/3.12 % (831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/3.12 % (825)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/13Mi)
% 2.83/3.12 % (831)Termination reason: Unknown
% 2.83/3.12 % (831)Termination phase: shuffling
% 2.83/3.12
% 2.83/3.12 % (831)Memory used [KB]: 55393
% 2.83/3.12 % (831)Time elapsed: 0.021 s
% 2.83/3.12 % (831)Instructions burned: 12 (million)
% 2.83/3.12 % (831)------------------------------
% 2.83/3.12 % (831)------------------------------
% 2.83/3.14 % (826)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/15Mi)
% 2.83/3.14 % (822)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/13Mi)
% 2.83/3.14 % (835)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/3Mi)
% 2.83/3.15 % (835)Instruction limit reached!
% 2.83/3.15 % (835)------------------------------
% 2.83/3.15 % (835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/3.15 % (835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/3.15 % (835)Termination reason: Unknown
% 2.83/3.15 % (835)Termination phase: shuffling
% 2.83/3.15
% 2.83/3.15 % (835)Memory used [KB]: 54625
% 2.83/3.15 % (835)Time elapsed: 0.004 s
% 2.83/3.15 % (835)Instructions burned: 3 (million)
% 2.83/3.15 % (835)------------------------------
% 2.83/3.15 % (835)------------------------------
% 2.83/3.15 % (836)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/7Mi)
% 2.83/3.16 % (836)Instruction limit reached!
% 2.83/3.16 % (836)------------------------------
% 2.83/3.16 % (836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/3.16 % (836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/3.16 % (836)Termination reason: Unknown
% 2.83/3.16 % (836)Termination phase: shuffling
% 2.83/3.16
% 2.83/3.16 % (836)Memory used [KB]: 54881
% 2.83/3.16 % (836)Time elapsed: 0.011 s
% 2.83/3.16 % (836)Instructions burned: 7 (million)
% 2.83/3.16 % (836)------------------------------
% 2.83/3.16 % (836)------------------------------
% 2.83/3.16 % (839)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/2Mi)
% 2.83/3.17 % (839)Instruction limit reached!
% 2.83/3.17 % (839)------------------------------
% 2.83/3.17 % (839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/3.17 % (839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/3.17 % (839)Termination reason: Unknown
% 2.83/3.17 % (839)Termination phase: shuffling
% 2.83/3.17
% 2.83/3.17 % (839)Memory used [KB]: 54625
% 2.83/3.17 % (839)Time elapsed: 0.005 s
% 2.83/3.17 % (839)Instructions burned: 2 (million)
% 2.83/3.17 % (839)------------------------------
% 2.83/3.17 % (839)------------------------------
% 2.83/3.17 % (833)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/16Mi)
% 2.83/3.17 % (832)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/7Mi)
% 3.02/3.17 % (834)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/51Mi)
% 3.02/3.18 % (847)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/99Mi)
% 3.02/3.19 % (829)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/49Mi)
% 3.08/3.20 % (843)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/82Mi)
% 3.08/3.20 % (832)Instruction limit reached!
% 3.08/3.20 % (832)------------------------------
% 3.08/3.20 % (832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/3.20 % (832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/3.20 % (832)Termination reason: Unknown
% 3.08/3.20 % (832)Termination phase: shuffling
% 3.08/3.20
% 3.08/3.20 % (832)Memory used [KB]: 55009
% 3.08/3.20 % (832)Time elapsed: 0.011 s
% 3.08/3.20 % (832)Instructions burned: 7 (million)
% 3.08/3.20 % (832)------------------------------
% 3.08/3.20 % (832)------------------------------
% 3.08/3.20 % (822)Instruction limit reached!
% 3.08/3.20 % (822)------------------------------
% 3.08/3.20 % (822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/3.20 % (822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/3.20 % (822)Termination reason: Unknown
% 3.08/3.20 % (822)Termination phase: shuffling
% 3.08/3.20
% 3.08/3.20 % (822)Memory used [KB]: 55393
% 3.08/3.20 % (822)Time elapsed: 0.020 s
% 3.08/3.20 % (822)Instructions burned: 13 (million)
% 3.08/3.20 % (822)------------------------------
% 3.08/3.20 % (822)------------------------------
% 3.08/3.20 % (825)Instruction limit reached!
% 3.08/3.20 % (825)------------------------------
% 3.08/3.20 % (825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/3.20 % (825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/3.20 % (825)Termination reason: Unknown
% 3.08/3.20 % (825)Termination phase: shuffling
% 3.08/3.20
% 3.08/3.20 % (825)Memory used [KB]: 55393
% 3.08/3.20 % (825)Time elapsed: 0.020 s
% 3.08/3.20 % (825)Instructions burned: 13 (million)
% 3.08/3.20 % (825)------------------------------
% 3.08/3.20 % (825)------------------------------
% 3.08/3.21 % (837)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/50Mi)
% 3.08/3.21 % (844)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/45Mi)
% 3.22/3.22 % (826)Instruction limit reached!
% 3.22/3.22 % (826)------------------------------
% 3.22/3.22 % (826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/3.22 % (826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/3.22 % (826)Termination reason: Unknown
% 3.22/3.22 % (826)Termination phase: shuffling
% 3.22/3.22
% 3.22/3.22 % (826)Memory used [KB]: 55521
% 3.22/3.22 % (826)Time elapsed: 0.024 s
% 3.22/3.22 % (826)Instructions burned: 15 (million)
% 3.22/3.22 % (826)------------------------------
% 3.22/3.22 % (826)------------------------------
% 3.22/3.24 % (841)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/30Mi)
% 3.22/3.24 % (842)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/99Mi)
% 3.22/3.25 % (840)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/11Mi)
% 3.22/3.25 % (833)Instruction limit reached!
% 3.22/3.25 % (833)------------------------------
% 3.22/3.25 % (833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/3.25 % (833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/3.25 % (833)Termination reason: Unknown
% 3.22/3.25 % (833)Termination phase: shuffling
% 3.22/3.25
% 3.22/3.25 % (833)Memory used [KB]: 55649
% 3.22/3.25 % (833)Time elapsed: 0.024 s
% 3.22/3.25 % (833)Instructions burned: 16 (million)
% 3.22/3.25 % (833)------------------------------
% 3.22/3.25 % (833)------------------------------
% 3.22/3.25 % (828)Instruction limit reached!
% 3.22/3.25 % (828)------------------------------
% 3.22/3.25 % (828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/3.25 % (828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/3.25 % (828)Termination reason: Unknown
% 3.22/3.25 % (828)Termination phase: shuffling
% 3.22/3.25
% 3.22/3.25 % (828)Memory used [KB]: 57184
% 3.22/3.25 % (828)Time elapsed: 0.063 s
% 3.22/3.25 % (828)Instructions burned: 39 (million)
% 3.22/3.25 % (828)------------------------------
% 3.22/3.25 % (828)------------------------------
% 4.48/3.26 % (849)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/8Mi)
% 4.48/3.26 % (848)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/25Mi)
% 4.48/3.27 % (823)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/3Mi)
% 4.48/3.28 % (821)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/99978Mi)
% 4.48/3.28 % (850)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/24Mi)
% 4.48/3.28 % (845)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/50Mi)
% 4.48/3.28 % (830)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/33Mi)
% 4.48/3.28 % (849)Instruction limit reached!
% 4.48/3.28 % (849)------------------------------
% 4.48/3.28 % (849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/3.28 % (849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/3.28 % (849)Termination reason: Unknown
% 4.48/3.28 % (849)Termination phase: shuffling
% 4.48/3.28
% 4.48/3.28 % (849)Memory used [KB]: 55009
% 4.48/3.28 % (849)Time elapsed: 0.012 s
% 4.48/3.28 % (849)Instructions burned: 8 (million)
% 4.48/3.28 % (849)------------------------------
% 4.48/3.28 % (849)------------------------------
% 4.48/3.30 % (823)Instruction limit reached!
% 4.48/3.30 % (823)------------------------------
% 4.48/3.30 % (823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/3.30 % (823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/3.30 % (823)Termination reason: Unknown
% 4.48/3.30 % (823)Termination phase: shuffling
% 4.48/3.30
% 4.48/3.30 % (823)Memory used [KB]: 54625
% 4.48/3.30 % (823)Time elapsed: 0.004 s
% 4.48/3.30 % (823)Instructions burned: 3 (million)
% 4.48/3.30 % (823)------------------------------
% 4.48/3.30 % (823)------------------------------
% 4.48/3.30 % (827)Instruction limit reached!
% 4.48/3.30 % (827)------------------------------
% 4.48/3.30 % (827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/3.30 % (827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/3.30 % (827)Termination reason: Unknown
% 4.48/3.30 % (827)Termination phase: shuffling
% 4.48/3.30
% 4.48/3.30 % (827)Memory used [KB]: 57184
% 4.48/3.30 % (827)Time elapsed: 0.062 s
% 4.48/3.30 % (827)Instructions burned: 39 (million)
% 4.48/3.30 % (827)------------------------------
% 4.48/3.30 % (827)------------------------------
% 4.48/3.30 % (840)Instruction limit reached!
% 4.48/3.30 % (840)------------------------------
% 4.48/3.30 % (840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/3.30 % (840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/3.30 % (840)Termination reason: Unknown
% 4.48/3.30 % (840)Termination phase: shuffling
% 4.48/3.30
% 4.48/3.30 % (840)Memory used [KB]: 55265
% 4.48/3.30 % (840)Time elapsed: 0.018 s
% 4.48/3.30 % (840)Instructions burned: 11 (million)
% 4.48/3.30 % (840)------------------------------
% 4.48/3.30 % (840)------------------------------
% 4.48/3.32 % (838)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/3Mi)
% 4.48/3.32 % (838)Instruction limit reached!
% 4.48/3.32 % (838)------------------------------
% 4.48/3.32 % (838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/3.32 % (838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/3.32 % (838)Termination reason: Unknown
% 4.48/3.32 % (838)Termination phase: shuffling
% 4.48/3.32
% 4.48/3.32 % (838)Memory used [KB]: 54625
% 4.48/3.32 % (838)Time elapsed: 0.005 s
% 4.48/3.32 % (838)Instructions burned: 3 (million)
% 4.48/3.32 % (838)------------------------------
% 4.48/3.32 % (838)------------------------------
% 5.21/3.35 % (841)Instruction limit reached!
% 5.21/3.35 % (841)------------------------------
% 5.21/3.35 % (841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.35 % (841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.35 % (841)Termination reason: Unknown
% 5.21/3.35 % (841)Termination phase: shuffling
% 5.21/3.35
% 5.21/3.35 % (841)Memory used [KB]: 56544
% 5.21/3.35 % (841)Time elapsed: 0.046 s
% 5.21/3.35 % (841)Instructions burned: 30 (million)
% 5.21/3.35 % (841)------------------------------
% 5.21/3.35 % (841)------------------------------
% 5.21/3.36 % (857)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/141Mi)
% 5.21/3.36 % (846)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/95Mi)
% 5.21/3.38 % (850)Instruction limit reached!
% 5.21/3.38 % (850)------------------------------
% 5.21/3.38 % (850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.38 % (850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.38 % (850)Termination reason: Unknown
% 5.21/3.38 % (850)Termination phase: shuffling
% 5.21/3.38
% 5.21/3.38 % (850)Memory used [KB]: 56161
% 5.21/3.38 % (850)Time elapsed: 0.037 s
% 5.21/3.38 % (850)Instructions burned: 24 (million)
% 5.21/3.38 % (850)------------------------------
% 5.21/3.38 % (850)------------------------------
% 5.21/3.39 % (824)Instruction limit reached!
% 5.21/3.39 % (824)------------------------------
% 5.21/3.39 % (824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.39 % (824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.39 % (824)Termination reason: Unknown
% 5.21/3.39 % (824)Termination phase: shuffling
% 5.21/3.39
% 5.21/3.39 % (824)Memory used [KB]: 57952
% 5.21/3.39 % (824)Time elapsed: 0.081 s
% 5.21/3.39 % (824)Instructions burned: 51 (million)
% 5.21/3.39 % (824)------------------------------
% 5.21/3.39 % (824)------------------------------
% 5.21/3.39 % (834)Instruction limit reached!
% 5.21/3.39 % (834)------------------------------
% 5.21/3.39 % (834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.39 % (834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.39 % (834)Termination reason: Unknown
% 5.21/3.39 % (834)Termination phase: shuffling
% 5.21/3.39
% 5.21/3.39 % (834)Memory used [KB]: 58080
% 5.21/3.39 % (834)Time elapsed: 0.079 s
% 5.21/3.39 % (834)Instructions burned: 51 (million)
% 5.21/3.39 % (834)------------------------------
% 5.21/3.39 % (834)------------------------------
% 5.21/3.39 % (847)Instruction limit reached!
% 5.21/3.39 % (847)------------------------------
% 5.21/3.39 % (847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.39 % (847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.39 % (847)Termination reason: Unknown
% 5.21/3.39 % (847)Termination phase: Preprocessing 1
% 5.21/3.39
% 5.21/3.39 % (847)Memory used [KB]: 59615
% 5.21/3.39 % (847)Time elapsed: 0.194 s
% 5.21/3.39 % (847)Instructions burned: 99 (million)
% 5.21/3.39 % (847)------------------------------
% 5.21/3.39 % (847)------------------------------
% 5.21/3.39 % (854)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/69Mi)
% 5.21/3.40 % (852)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/7Mi)
% 5.21/3.41 % (848)Instruction limit reached!
% 5.21/3.41 % (848)------------------------------
% 5.21/3.41 % (848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/3.41 % (848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/3.41 % (848)Termination reason: Unknown
% 5.21/3.41 % (848)Termination phase: shuffling
% 5.21/3.41
% 5.21/3.41 % (848)Memory used [KB]: 56161
% 5.21/3.41 % (848)Time elapsed: 0.041 s
% 5.21/3.41 % (848)Instructions burned: 25 (million)
% 5.21/3.41 % (848)------------------------------
% 5.21/3.41 % (848)------------------------------
% 5.63/3.42 % (853)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/87Mi)
% 5.63/3.42 % (859)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/31Mi)
% 5.63/3.43 % (856)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/56Mi)
% 5.63/3.43 % (855)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/107Mi)
% 5.63/3.43 % (852)Instruction limit reached!
% 5.63/3.43 % (852)------------------------------
% 5.63/3.43 % (852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.63/3.43 % (852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.63/3.43 % (852)Termination reason: Unknown
% 5.63/3.43 % (852)Termination phase: shuffling
% 5.63/3.43
% 5.63/3.43 % (852)Memory used [KB]: 55009
% 5.63/3.43 % (852)Time elapsed: 0.013 s
% 5.63/3.43 % (852)Instructions burned: 7 (million)
% 5.63/3.43 % (852)------------------------------
% 5.63/3.43 % (852)------------------------------
% 5.63/3.44 % (844)Instruction limit reached!
% 5.63/3.44 % (844)------------------------------
% 5.63/3.44 % (844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.63/3.44 % (844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.63/3.44 % (844)Termination reason: Unknown
% 5.63/3.44 % (844)Termination phase: shuffling
% 5.63/3.44
% 5.63/3.44 % (844)Memory used [KB]: 57568
% 5.63/3.44 % (844)Time elapsed: 0.071 s
% 5.63/3.44 % (844)Instructions burned: 45 (million)
% 5.63/3.44 % (844)------------------------------
% 5.63/3.44 % (844)------------------------------
% 5.63/3.46 % (860)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/68Mi)
% 5.63/3.46 % (851)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/92Mi)
% 5.93/3.51 % (830)Instruction limit reached!
% 5.93/3.51 % (830)------------------------------
% 5.93/3.51 % (830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.93/3.51 % (830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.93/3.51 % (830)Termination reason: Unknown
% 5.93/3.51 % (830)Termination phase: shuffling
% 5.93/3.51
% 5.93/3.51 % (830)Memory used [KB]: 56800
% 5.93/3.51 % (830)Time elapsed: 0.055 s
% 5.93/3.51 % (830)Instructions burned: 33 (million)
% 5.93/3.51 % (830)------------------------------
% 5.93/3.51 % (830)------------------------------
% 5.93/3.52 % (829)Instruction limit reached!
% 5.93/3.52 % (829)------------------------------
% 5.93/3.52 % (829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.93/3.52 % (829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.93/3.52 % (829)Termination reason: Unknown
% 5.93/3.52 % (829)Termination phase: shuffling
% 5.93/3.52
% 5.93/3.52 % (829)Memory used [KB]: 57824
% 5.93/3.52 % (829)Time elapsed: 0.082 s
% 5.93/3.52 % (829)Instructions burned: 49 (million)
% 5.93/3.52 % (829)------------------------------
% 5.93/3.52 % (829)------------------------------
% 5.93/3.53 % (870)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/66Mi)
% 5.93/3.53 % (858)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/42Mi)
% 5.93/3.54 % (862)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/84Mi)
% 5.93/3.54 % (859)Instruction limit reached!
% 5.93/3.54 % (859)------------------------------
% 5.93/3.54 % (859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.93/3.54 % (859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.93/3.54 % (859)Termination reason: Unknown
% 5.93/3.54 % (859)Termination phase: shuffling
% 5.93/3.54
% 5.93/3.54 % (859)Memory used [KB]: 56672
% 5.93/3.54 % (859)Time elapsed: 0.048 s
% 5.93/3.54 % (859)Instructions burned: 31 (million)
% 5.93/3.54 % (859)------------------------------
% 5.93/3.54 % (859)------------------------------
% 5.93/3.54 % (864)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/93Mi)
% 5.93/3.54 % (837)Instruction limit reached!
% 5.93/3.54 % (837)------------------------------
% 5.93/3.54 % (837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.93/3.54 % (837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.93/3.54 % (837)Termination reason: Unknown
% 5.93/3.54 % (837)Termination phase: shuffling
% 5.93/3.54
% 5.93/3.54 % (837)Memory used [KB]: 57952
% 5.93/3.54 % (837)Time elapsed: 0.083 s
% 5.93/3.54 % (837)Instructions burned: 50 (million)
% 5.93/3.54 % (837)------------------------------
% 5.93/3.54 % (837)------------------------------
% 5.93/3.55 % (867)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/15Mi)
% 6.22/3.57 % (868)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/32Mi)
% 6.22/3.58 % (866)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/86Mi)
% 6.35/3.58 % (869)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/149Mi)
% 6.35/3.59 % (863)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/131Mi)
% 6.35/3.60 % (843)Instruction limit reached!
% 6.35/3.60 % (843)------------------------------
% 6.35/3.60 % (843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/3.60 % (843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/3.60 % (843)Termination reason: Unknown
% 6.35/3.60 % (843)Termination phase: SInE selection
% 6.35/3.60
% 6.35/3.60 % (843)Memory used [KB]: 58847
% 6.35/3.60 % (843)Time elapsed: 0.121 s
% 6.35/3.60 % (843)Instructions burned: 82 (million)
% 6.35/3.60 % (843)------------------------------
% 6.35/3.60 % (843)------------------------------
% 6.35/3.61 % (842)Instruction limit reached!
% 6.35/3.61 % (842)------------------------------
% 6.35/3.61 % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/3.61 % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/3.61 % (842)Termination reason: Unknown
% 6.35/3.61 % (842)Termination phase: SInE selection
% 6.35/3.61
% 6.35/3.61 % (842)Memory used [KB]: 58847
% 6.35/3.61 % (842)Time elapsed: 0.139 s
% 6.35/3.61 % (842)Instructions burned: 99 (million)
% 6.35/3.61 % (842)------------------------------
% 6.35/3.61 % (842)------------------------------
% 6.35/3.61 % (867)Instruction limit reached!
% 6.35/3.61 % (867)------------------------------
% 6.35/3.61 % (867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/3.62 % (845)Instruction limit reached!
% 6.35/3.62 % (845)------------------------------
% 6.35/3.62 % (845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/3.62 % (845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/3.62 % (845)Termination reason: Unknown
% 6.35/3.62 % (845)Termination phase: shuffling
% 6.35/3.62
% 6.35/3.62 % (845)Memory used [KB]: 57952
% 6.35/3.62 % (845)Time elapsed: 0.084 s
% 6.35/3.62 % (845)Instructions burned: 50 (million)
% 6.35/3.62 % (845)------------------------------
% 6.35/3.62 % (845)------------------------------
% 6.35/3.62 % (867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/3.62 % (867)Termination reason: Unknown
% 6.35/3.62 % (867)Termination phase: shuffling
% 6.35/3.62
% 6.35/3.62 % (867)Memory used [KB]: 55521
% 6.35/3.62 % (867)Time elapsed: 0.024 s
% 6.35/3.62 % (867)Instructions burned: 15 (million)
% 6.35/3.62 % (867)------------------------------
% 6.35/3.62 % (867)------------------------------
% 6.47/3.62 % (865)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/109Mi)
% 6.55/3.67 % (872)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/341Mi)
% 6.55/3.67 % (871)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/19Mi)
% 6.55/3.68 % (873)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/237Mi)
% 6.55/3.70 % (874)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/10Mi)
% 6.55/3.70 % (868)Instruction limit reached!
% 6.55/3.70 % (868)------------------------------
% 6.55/3.70 % (868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/3.70 % (868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/3.70 % (868)Termination reason: Unknown
% 6.55/3.70 % (868)Termination phase: shuffling
% 6.55/3.70
% 6.55/3.70 % (868)Memory used [KB]: 56672
% 6.55/3.70 % (868)Time elapsed: 0.049 s
% 6.55/3.70 % (868)Instructions burned: 32 (million)
% 6.55/3.70 % (868)------------------------------
% 6.55/3.70 % (868)------------------------------
% 6.72/3.71 % (860)Instruction limit reached!
% 6.72/3.71 % (860)------------------------------
% 6.72/3.71 % (860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.71 % (860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.71 % (860)Termination reason: Unknown
% 6.72/3.71 % (860)Termination phase: SInE selection
% 6.72/3.71
% 6.72/3.71 % (860)Memory used [KB]: 58847
% 6.72/3.71 % (860)Time elapsed: 0.107 s
% 6.72/3.71 % (860)Instructions burned: 68 (million)
% 6.72/3.71 % (860)------------------------------
% 6.72/3.71 % (860)------------------------------
% 6.72/3.72 % (857)Instruction limit reached!
% 6.72/3.72 % (857)------------------------------
% 6.72/3.72 % (857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.72 % (857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.72 % (857)Termination reason: Unknown
% 6.72/3.72 % (857)Termination phase: SInE selection
% 6.72/3.72
% 6.72/3.72 % (857)Memory used [KB]: 58847
% 6.72/3.72 % (857)Time elapsed: 0.342 s
% 6.72/3.72 % (857)Instructions burned: 141 (million)
% 6.72/3.72 % (857)------------------------------
% 6.72/3.72 % (857)------------------------------
% 6.72/3.73 % (870)Instruction limit reached!
% 6.72/3.73 % (870)------------------------------
% 6.72/3.73 % (870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.73 % (870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.73 % (870)Termination reason: Unknown
% 6.72/3.73 % (870)Termination phase: SInE selection
% 6.72/3.73
% 6.72/3.73 % (870)Memory used [KB]: 58847
% 6.72/3.73 % (870)Time elapsed: 0.188 s
% 6.72/3.73 % (870)Instructions burned: 66 (million)
% 6.72/3.73 % (870)------------------------------
% 6.72/3.73 % (870)------------------------------
% 6.72/3.74 % (877)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/97Mi)
% 6.72/3.75 % (856)Instruction limit reached!
% 6.72/3.75 % (856)------------------------------
% 6.72/3.75 % (856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.75 % (856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.75 % (856)Termination reason: Unknown
% 6.72/3.75 % (856)Termination phase: shuffling
% 6.72/3.75
% 6.72/3.75 % (856)Memory used [KB]: 58208
% 6.72/3.75 % (856)Time elapsed: 0.096 s
% 6.72/3.75 % (856)Instructions burned: 57 (million)
% 6.72/3.75 % (856)------------------------------
% 6.72/3.75 % (856)------------------------------
% 6.72/3.76 % (871)Instruction limit reached!
% 6.72/3.76 % (871)------------------------------
% 6.72/3.76 % (871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.76 % (871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.76 % (871)Termination reason: Unknown
% 6.72/3.76 % (871)Termination phase: shuffling
% 6.72/3.76
% 6.72/3.76 % (871)Memory used [KB]: 55777
% 6.72/3.76 % (871)Time elapsed: 0.030 s
% 6.72/3.76 % (871)Instructions burned: 19 (million)
% 6.72/3.76 % (871)------------------------------
% 6.72/3.76 % (871)------------------------------
% 6.72/3.76 % (874)Instruction limit reached!
% 6.72/3.76 % (874)------------------------------
% 6.72/3.76 % (874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.76 % (874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.76 % (874)Termination reason: Unknown
% 6.72/3.76 % (874)Termination phase: shuffling
% 6.72/3.76
% 6.72/3.76 % (874)Memory used [KB]: 55137
% 6.72/3.76 % (874)Time elapsed: 0.017 s
% 6.72/3.76 % (874)Instructions burned: 10 (million)
% 6.72/3.76 % (874)------------------------------
% 6.72/3.76 % (874)------------------------------
% 6.72/3.77 % (854)Instruction limit reached!
% 6.72/3.77 % (854)------------------------------
% 6.72/3.77 % (854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/3.77 % (854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/3.77 % (854)Termination reason: Unknown
% 6.72/3.77 % (854)Termination phase: Preprocessing 1
% 6.72/3.77
% 6.72/3.77 % (854)Memory used [KB]: 58975
% 6.72/3.77 % (854)Time elapsed: 0.108 s
% 6.72/3.77 % (854)Instructions burned: 70 (million)
% 6.72/3.77 % (854)------------------------------
% 6.72/3.77 % (854)------------------------------
% 7.54/3.79 % (880)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/393Mi)
% 7.54/3.79 % (858)Instruction limit reached!
% 7.54/3.79 % (858)------------------------------
% 7.54/3.79 % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.54/3.79 % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.54/3.79 % (858)Termination reason: Unknown
% 7.54/3.79 % (858)Termination phase: shuffling
% 7.54/3.79
% 7.54/3.79 % (858)Memory used [KB]: 57440
% 7.54/3.79 % (858)Time elapsed: 0.072 s
% 7.54/3.79 % (858)Instructions burned: 42 (million)
% 7.54/3.79 % (858)------------------------------
% 7.54/3.79 % (858)------------------------------
% 7.54/3.79 % (879)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/138Mi)
% 7.54/3.84 % (876)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/21Mi)
% 7.54/3.84 % (875)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/472Mi)
% 7.54/3.86 % (884)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/221Mi)
% 7.88/3.86 % (853)Instruction limit reached!
% 7.88/3.86 % (853)------------------------------
% 7.88/3.86 % (853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.88/3.86 % (853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.88/3.86 % (853)Termination reason: Unknown
% 7.88/3.86 % (853)Termination phase: SInE selection
% 7.88/3.86
% 7.88/3.86 % (853)Memory used [KB]: 58847
% 7.88/3.86 % (853)Time elapsed: 0.129 s
% 7.88/3.86 % (853)Instructions burned: 87 (million)
% 7.88/3.86 % (853)------------------------------
% 7.88/3.86 % (853)------------------------------
% 7.88/3.86 % (878)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/21Mi)
% 7.88/3.87 % (885)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/222Mi)
% 7.88/3.88 % (881)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/488Mi)
% 7.88/3.89 % (883)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/23Mi)
% 9.67/3.93 % (862)Instruction limit reached!
% 9.67/3.93 % (862)------------------------------
% 9.67/3.93 % (862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.67/3.93 % (862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.67/3.93 % (862)Termination reason: Unknown
% 9.67/3.93 % (862)Termination phase: SInE selection
% 9.67/3.93
% 9.67/3.93 % (862)Memory used [KB]: 58847
% 9.67/3.93 % (862)Time elapsed: 0.125 s
% 9.67/3.93 % (862)Instructions burned: 84 (million)
% 9.67/3.93 % (862)------------------------------
% 9.67/3.93 % (862)------------------------------
% 9.67/3.94 % (886)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/86Mi)
% 9.67/3.94 % (855)Instruction limit reached!
% 9.67/3.94 % (855)------------------------------
% 9.67/3.94 % (855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.67/3.94 % (855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.67/3.94 % (855)Termination reason: Unknown
% 9.67/3.94 % (855)Termination phase: SInE selection
% 9.67/3.94
% 9.67/3.94 % (855)Memory used [KB]: 58847
% 9.67/3.94 % (855)Time elapsed: 0.152 s
% 9.67/3.94 % (855)Instructions burned: 107 (million)
% 9.67/3.94 % (855)------------------------------
% 9.67/3.94 % (855)------------------------------
% 10.10/3.95 % (846)Instruction limit reached!
% 10.10/3.95 % (846)------------------------------
% 10.10/3.95 % (846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.10/3.95 % (846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.10/3.95 % (846)Termination reason: Unknown
% 10.10/3.95 % (846)Termination phase: SInE selection
% 10.10/3.95
% 10.10/3.95 % (846)Memory used [KB]: 58847
% 10.10/3.95 % (846)Time elapsed: 0.146 s
% 10.10/3.95 % (846)Instructions burned: 95 (million)
% 10.10/3.95 % (846)------------------------------
% 10.10/3.95 % (846)------------------------------
% 10.23/3.97 % (882)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/93Mi)
% 10.23/3.98 % (883)Instruction limit reached!
% 10.23/3.98 % (883)------------------------------
% 10.23/3.98 % (883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.23/3.98 % (883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.23/3.98 % (883)Termination reason: Unknown
% 10.23/3.98 % (883)Termination phase: shuffling
% 10.23/3.98
% 10.23/3.98 % (883)Memory used [KB]: 56033
% 10.23/3.98 % (883)Time elapsed: 0.035 s
% 10.23/3.98 % (883)Instructions burned: 23 (million)
% 10.23/3.98 % (883)------------------------------
% 10.23/3.98 % (883)------------------------------
% 10.23/3.98 % (864)Instruction limit reached!
% 10.23/3.98 % (864)------------------------------
% 10.23/3.98 % (864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.23/3.98 % (864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.23/3.98 % (864)Termination reason: Unknown
% 10.23/3.98 % (864)Termination phase: SInE selection
% 10.23/3.98
% 10.23/3.98 % (864)Memory used [KB]: 58847
% 10.23/3.98 % (864)Time elapsed: 0.133 s
% 10.23/3.98 % (864)Instructions burned: 93 (million)
% 10.23/3.98 % (864)------------------------------
% 10.23/3.98 % (864)------------------------------
% 10.23/4.00 % (876)Instruction limit reached!
% 10.23/4.00 % (876)------------------------------
% 10.23/4.00 % (876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.23/4.00 % (876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.23/4.00 % (876)Termination reason: Unknown
% 10.23/4.00 % (876)Termination phase: shuffling
% 10.23/4.00
% 10.23/4.00 % (876)Memory used [KB]: 55905
% 10.23/4.00 % (876)Time elapsed: 0.036 s
% 10.23/4.00 % (876)Instructions burned: 21 (million)
% 10.23/4.00 % (876)------------------------------
% 10.23/4.00 % (876)------------------------------
% 10.23/4.00 % (889)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/79Mi)
% 10.71/4.02 % (866)Instruction limit reached!
% 10.71/4.02 % (866)------------------------------
% 10.71/4.02 % (866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.71/4.02 % (866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.71/4.02 % (866)Termination reason: Unknown
% 10.71/4.02 % (866)Termination phase: SInE selection
% 10.71/4.02
% 10.71/4.02 % (866)Memory used [KB]: 58847
% 10.71/4.02 % (866)Time elapsed: 0.130 s
% 10.71/4.02 % (866)Instructions burned: 86 (million)
% 10.71/4.02 % (866)------------------------------
% 10.71/4.02 % (866)------------------------------
% 10.71/4.03 % (890)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/377Mi)
% 10.71/4.03 % (891)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/118Mi)
% 10.71/4.03 % (851)Instruction limit reached!
% 10.71/4.03 % (851)------------------------------
% 10.71/4.03 % (851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.71/4.03 % (851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.71/4.03 % (851)Termination reason: Unknown
% 10.71/4.03 % (851)Termination phase: SInE selection
% 10.71/4.03
% 10.71/4.03 % (851)Memory used [KB]: 58847
% 10.71/4.03 % (851)Time elapsed: 0.142 s
% 10.71/4.03 % (851)Instructions burned: 92 (million)
% 10.71/4.03 % (851)------------------------------
% 10.71/4.03 % (851)------------------------------
% 10.71/4.04 % (878)Instruction limit reached!
% 10.71/4.04 % (878)------------------------------
% 10.71/4.04 % (878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.71/4.04 % (878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.71/4.04 % (878)Termination reason: Unknown
% 10.71/4.04 % (878)Termination phase: shuffling
% 10.71/4.04
% 10.71/4.04 % (878)Memory used [KB]: 55905
% 10.71/4.04 % (878)Time elapsed: 0.035 s
% 10.71/4.04 % (878)Instructions burned: 21 (million)
% 10.71/4.04 % (878)------------------------------
% 10.71/4.04 % (878)------------------------------
% 10.71/4.04 % (892)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/34Mi)
% 10.91/4.08 % (877)Instruction limit reached!
% 10.91/4.08 % (877)------------------------------
% 10.91/4.08 % (877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.91/4.08 % (877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.91/4.08 % (877)Termination reason: Unknown
% 10.91/4.08 % (877)Termination phase: Preprocessing 1
% 10.91/4.08
% 10.91/4.08 % (877)Memory used [KB]: 59615
% 10.91/4.08 % (877)Time elapsed: 0.129 s
% 10.91/4.08 % (877)Instructions burned: 98 (million)
% 10.91/4.08 % (877)------------------------------
% 10.91/4.08 % (877)------------------------------
% 10.91/4.10 % (869)Instruction limit reached!
% 10.91/4.10 % (869)------------------------------
% 10.91/4.10 % (869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.91/4.10 % (869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.91/4.10 % (869)Termination reason: Unknown
% 10.91/4.10 % (869)Termination phase: SInE selection
% 10.91/4.10
% 10.91/4.10 % (869)Memory used [KB]: 58847
% 10.91/4.10 % (869)Time elapsed: 0.191 s
% 10.91/4.10 % (869)Instructions burned: 149 (million)
% 10.91/4.10 % (869)------------------------------
% 10.91/4.10 % (869)------------------------------
% 10.91/4.11 % (893)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/113Mi)
% 10.91/4.12 % (894)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/8Mi)
% 11.42/4.15 % (894)Instruction limit reached!
% 11.42/4.15 % (894)------------------------------
% 11.42/4.15 % (894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.42/4.15 % (894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.42/4.15 % (894)Termination reason: Unknown
% 11.42/4.15 % (894)Termination phase: shuffling
% 11.42/4.15
% 11.42/4.15 % (894)Memory used [KB]: 55009
% 11.42/4.15 % (894)Time elapsed: 0.012 s
% 11.42/4.15 % (894)Instructions burned: 8 (million)
% 11.42/4.15 % (894)------------------------------
% 11.42/4.15 % (894)------------------------------
% 11.42/4.15 % (896)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/390Mi)
% 11.68/4.19 % (897)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/23Mi)
% 11.68/4.21 % (899)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/366Mi)
% 11.68/4.21 % (892)Instruction limit reached!
% 11.68/4.21 % (892)------------------------------
% 11.68/4.21 % (892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.68/4.21 % (892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.68/4.21 % (892)Termination reason: Unknown
% 11.68/4.21 % (892)Termination phase: shuffling
% 11.68/4.21
% 11.68/4.21 % (892)Memory used [KB]: 56800
% 11.68/4.21 % (892)Time elapsed: 0.054 s
% 11.68/4.21 % (892)Instructions burned: 34 (million)
% 11.68/4.21 % (892)------------------------------
% 11.68/4.21 % (892)------------------------------
% 11.68/4.22 % (900)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/424Mi)
% 12.04/4.25 % (901)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/753Mi)
% 12.11/4.26 % (865)Instruction limit reached!
% 12.11/4.26 % (865)------------------------------
% 12.11/4.26 % (865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/4.26 % (865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/4.26 % (865)Termination reason: Unknown
% 12.11/4.26 % (865)Termination phase: SInE selection
% 12.11/4.26
% 12.11/4.26 % (865)Memory used [KB]: 58847
% 12.11/4.26 % (865)Time elapsed: 0.160 s
% 12.11/4.26 % (865)Instructions burned: 109 (million)
% 12.11/4.26 % (865)------------------------------
% 12.11/4.26 % (865)------------------------------
% 12.11/4.28 % (879)Instruction limit reached!
% 12.11/4.28 % (879)------------------------------
% 12.11/4.28 % (879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/4.28 % (879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/4.28 % (879)Termination reason: Unknown
% 12.11/4.28 % (879)Termination phase: SInE selection
% 12.11/4.28
% 12.11/4.28 % (879)Memory used [KB]: 58847
% 12.11/4.28 % (879)Time elapsed: 0.178 s
% 12.11/4.28 % (879)Instructions burned: 138 (million)
% 12.11/4.28 % (879)------------------------------
% 12.11/4.28 % (879)------------------------------
% 12.11/4.29 % (885)Instruction limit reached!
% 12.11/4.29 % (885)------------------------------
% 12.11/4.29 % (885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/4.29 % (885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/4.29 % (885)Termination reason: Unknown
% 12.11/4.29 % (885)Termination phase: Preprocessing 1
% 12.11/4.29
% 12.11/4.29 % (885)Memory used [KB]: 62173
% 12.11/4.29 % (885)Time elapsed: 0.364 s
% 12.11/4.29 % (885)Instructions burned: 222 (million)
% 12.11/4.29 % (885)------------------------------
% 12.11/4.29 % (885)------------------------------
% 12.11/4.29 % (903)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/1000Mi)
% 12.11/4.30 % (898)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/357Mi)
% 12.42/4.32 % (902)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/288Mi)
% 12.42/4.32 % (886)Instruction limit reached!
% 12.42/4.32 % (886)------------------------------
% 12.42/4.32 % (886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.42/4.32 % (886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.42/4.32 % (886)Termination reason: Unknown
% 12.42/4.32 % (886)Termination phase: Preprocessing 1
% 12.42/4.32
% 12.42/4.32 % (886)Memory used [KB]: 59487
% 12.42/4.32 % (886)Time elapsed: 0.121 s
% 12.42/4.32 % (886)Instructions burned: 86 (million)
% 12.42/4.32 % (886)------------------------------
% 12.42/4.32 % (886)------------------------------
% 12.42/4.32 % (897)Instruction limit reached!
% 12.42/4.32 % (897)------------------------------
% 12.42/4.32 % (897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.42/4.32 % (897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.42/4.32 % (897)Termination reason: Unknown
% 12.42/4.32 % (897)Termination phase: shuffling
% 12.42/4.32
% 12.42/4.32 % (897)Memory used [KB]: 56033
% 12.42/4.32 % (897)Time elapsed: 0.037 s
% 12.42/4.32 % (897)Instructions burned: 23 (million)
% 12.42/4.32 % (897)------------------------------
% 12.42/4.32 % (897)------------------------------
% 12.42/4.35 % (863)Instruction limit reached!
% 12.42/4.35 % (863)------------------------------
% 12.42/4.35 % (863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.42/4.35 % (863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.42/4.35 % (863)Termination reason: Unknown
% 12.42/4.35 % (863)Termination phase: SInE selection
% 12.42/4.35
% 12.42/4.35 % (863)Memory used [KB]: 58847
% 12.42/4.35 % (863)Time elapsed: 0.184 s
% 12.42/4.35 % (863)Instructions burned: 131 (million)
% 12.42/4.35 % (863)------------------------------
% 12.42/4.35 % (863)------------------------------
% 12.59/4.36 % (904)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/149Mi)
% 12.59/4.36 % (907)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/35Mi)
% 12.59/4.38 % (884)Instruction limit reached!
% 12.59/4.38 % (884)------------------------------
% 12.59/4.38 % (884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.59/4.38 % (884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.59/4.38 % (884)Termination reason: Unknown
% 12.59/4.38 % (884)Termination phase: SInE selection
% 12.59/4.38
% 12.59/4.38 % (884)Memory used [KB]: 59231
% 12.59/4.38 % (884)Time elapsed: 0.474 s
% 12.59/4.38 % (884)Instructions burned: 221 (million)
% 12.59/4.38 % (884)------------------------------
% 12.59/4.38 % (884)------------------------------
% 12.59/4.41 % (889)Instruction limit reached!
% 12.59/4.41 % (889)------------------------------
% 12.59/4.41 % (889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.59/4.41 % (889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.59/4.41 % (889)Termination reason: Unknown
% 12.59/4.41 % (889)Termination phase: SInE selection
% 12.59/4.41
% 12.59/4.41 % (889)Memory used [KB]: 58847
% 12.59/4.41 % (889)Time elapsed: 0.121 s
% 12.59/4.41 % (889)Instructions burned: 79 (million)
% 12.59/4.41 % (889)------------------------------
% 12.59/4.41 % (889)------------------------------
% 12.59/4.42 % (910)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/300Mi)
% 12.59/4.42 % (909)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/377Mi)
% 12.59/4.43 % (914)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/136Mi)
% 14.07/4.48 % (912)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/45Mi)
% 14.07/4.48 % (882)Instruction limit reached!
% 14.07/4.48 % (882)------------------------------
% 14.07/4.48 % (882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.07/4.48 % (882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.07/4.48 % (882)Termination reason: Unknown
% 14.07/4.48 % (882)Termination phase: Preprocessing 1
% 14.07/4.48
% 14.07/4.48 % (882)Memory used [KB]: 59487
% 14.07/4.48 % (882)Time elapsed: 0.134 s
% 14.07/4.48 % (882)Instructions burned: 93 (million)
% 14.07/4.48 % (882)------------------------------
% 14.07/4.48 % (882)------------------------------
% 14.07/4.49 % (915)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/91Mi)
% 14.70/4.53 % (919)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/290Mi)
% 14.70/4.55 % (907)Instruction limit reached!
% 14.70/4.55 % (907)------------------------------
% 14.70/4.55 % (907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.70/4.55 % (907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.70/4.55 % (907)Termination reason: Unknown
% 14.70/4.55 % (907)Termination phase: shuffling
% 14.70/4.55
% 14.70/4.55 % (907)Memory used [KB]: 56928
% 14.70/4.55 % (907)Time elapsed: 0.057 s
% 14.70/4.55 % (907)Instructions burned: 35 (million)
% 14.70/4.55 % (907)------------------------------
% 14.70/4.55 % (907)------------------------------
% 14.70/4.57 % (916)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/102Mi)
% 14.70/4.57 % (891)Instruction limit reached!
% 14.70/4.57 % (891)------------------------------
% 14.70/4.57 % (891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.70/4.57 % (891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.70/4.57 % (891)Termination reason: Unknown
% 14.70/4.57 % (891)Termination phase: SInE selection
% 14.70/4.57
% 14.70/4.57 % (891)Memory used [KB]: 58847
% 14.70/4.57 % (891)Time elapsed: 0.165 s
% 14.70/4.57 % (891)Instructions burned: 118 (million)
% 14.70/4.57 % (891)------------------------------
% 14.70/4.57 % (891)------------------------------
% 14.70/4.58 % (917)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/234Mi)
% 15.14/4.62 % (913)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/23Mi)
% 15.84/4.69 % (873)Instruction limit reached!
% 15.84/4.69 % (873)------------------------------
% 15.84/4.69 % (873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.84/4.69 % (873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.84/4.69 % (873)Termination reason: Unknown
% 15.84/4.69 % (873)Termination phase: SInE selection
% 15.84/4.69
% 15.84/4.69 % (873)Memory used [KB]: 59231
% 15.84/4.69 % (873)Time elapsed: 0.298 s
% 15.84/4.69 % (873)Instructions burned: 237 (million)
% 15.84/4.69 % (873)------------------------------
% 15.84/4.69 % (873)------------------------------
% 15.84/4.71 % (920)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/68Mi)
% 15.84/4.71 % (918)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/246Mi)
% 16.06/4.72 % (912)Instruction limit reached!
% 16.06/4.72 % (912)------------------------------
% 16.06/4.72 % (912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.72 % (912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.72 % (912)Termination reason: Unknown
% 16.06/4.72 % (912)Termination phase: shuffling
% 16.06/4.72
% 16.06/4.72 % (912)Memory used [KB]: 57568
% 16.06/4.72 % (912)Time elapsed: 0.072 s
% 16.06/4.72 % (912)Instructions burned: 45 (million)
% 16.06/4.72 % (912)------------------------------
% 16.06/4.72 % (912)------------------------------
% 16.06/4.72 % (914)Instruction limit reached!
% 16.06/4.72 % (914)------------------------------
% 16.06/4.72 % (914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.72 % (914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.72 % (914)Termination reason: Unknown
% 16.06/4.72 % (914)Termination phase: Preprocessing 1
% 16.06/4.72
% 16.06/4.72 % (914)Memory used [KB]: 60254
% 16.06/4.72 % (914)Time elapsed: 0.290 s
% 16.06/4.72 % (914)Instructions burned: 136 (million)
% 16.06/4.72 % (914)------------------------------
% 16.06/4.72 % (914)------------------------------
% 16.06/4.73 % (893)Instruction limit reached!
% 16.06/4.73 % (893)------------------------------
% 16.06/4.73 % (893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.73 % (893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.73 % (893)Termination reason: Unknown
% 16.06/4.73 % (893)Termination phase: Preprocessing 1
% 16.06/4.73
% 16.06/4.73 % (893)Memory used [KB]: 59871
% 16.06/4.73 % (893)Time elapsed: 0.148 s
% 16.06/4.73 % (893)Instructions burned: 113 (million)
% 16.06/4.73 % (893)------------------------------
% 16.06/4.73 % (893)------------------------------
% 16.06/4.77 % (913)Instruction limit reached!
% 16.06/4.77 % (913)------------------------------
% 16.06/4.77 % (913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.77 % (913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.77 % (913)Termination reason: Unknown
% 16.06/4.77 % (913)Termination phase: shuffling
% 16.06/4.77
% 16.06/4.77 % (913)Memory used [KB]: 56033
% 16.06/4.77 % (913)Time elapsed: 0.039 s
% 16.06/4.77 % (913)Instructions burned: 23 (million)
% 16.06/4.77 % (913)------------------------------
% 16.06/4.77 % (913)------------------------------
% 16.06/4.78 % (872)Refutation not found, incomplete strategy% (872)------------------------------
% 16.06/4.78 % (872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.78 % (872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.78 % (872)Termination reason: Refutation not found, incomplete strategy
% 16.06/4.78
% 16.06/4.78 % (872)Memory used [KB]: 65755
% 16.06/4.78 % (872)Time elapsed: 1.295 s
% 16.06/4.78 % (872)Instructions burned: 331 (million)
% 16.06/4.78 % (872)------------------------------
% 16.06/4.78 % (872)------------------------------
% 16.06/4.82 % (915)Instruction limit reached!
% 16.06/4.82 % (915)------------------------------
% 16.06/4.82 % (915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.06/4.82 % (915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.06/4.82 % (915)Termination reason: Unknown
% 16.06/4.82 % (915)Termination phase: Preprocessing 1
% 16.06/4.82
% 16.06/4.82 % (915)Memory used [KB]: 59487
% 16.06/4.82 % (915)Time elapsed: 0.121 s
% 16.06/4.82 % (915)Instructions burned: 91 (million)
% 16.06/4.82 % (915)------------------------------
% 16.06/4.82 % (915)------------------------------
% 16.83/4.83 % (921)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/248Mi)
% 16.83/4.84 % (922)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/126Mi)
% 16.83/4.85 % (923)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/997Mi)
% 16.83/4.87 % (925)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/121Mi)
% 17.16/4.89 % (890)Instruction limit reached!
% 17.16/4.89 % (890)------------------------------
% 17.16/4.89 % (890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.16/4.89 % (890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.16/4.89 % (890)Termination reason: Unknown
% 17.16/4.89 % (890)Termination phase: Preprocessing 1
% 17.16/4.89
% 17.16/4.89 % (890)Memory used [KB]: 65244
% 17.16/4.89 % (890)Time elapsed: 0.325 s
% 17.16/4.89 % (890)Instructions burned: 378 (million)
% 17.16/4.89 % (890)------------------------------
% 17.16/4.89 % (890)------------------------------
% 17.61/4.97 % (924)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/139Mi)
% 17.61/4.98 % (929)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/9Mi)
% 17.61/4.99 % (926)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/92Mi)
% 17.61/5.01 % (929)Instruction limit reached!
% 17.61/5.01 % (929)------------------------------
% 17.61/5.01 % (929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.61/5.01 % (929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.61/5.01 % (929)Termination reason: Unknown
% 17.61/5.01 % (929)Termination phase: shuffling
% 17.61/5.01
% 17.61/5.01 % (929)Memory used [KB]: 55009
% 17.61/5.01 % (929)Time elapsed: 0.014 s
% 17.61/5.01 % (929)Instructions burned: 9 (million)
% 17.61/5.01 % (929)------------------------------
% 17.61/5.01 % (929)------------------------------
% 17.61/5.03 % (930)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/915Mi)
% 17.61/5.03 % (916)Instruction limit reached!
% 17.61/5.03 % (916)------------------------------
% 17.61/5.03 % (916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.61/5.03 % (916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.61/5.03 % (916)Termination reason: Unknown
% 17.61/5.03 % (916)Termination phase: Preprocessing 1
% 17.61/5.03
% 17.61/5.03 % (916)Memory used [KB]: 59615
% 17.61/5.03 % (916)Time elapsed: 0.134 s
% 17.61/5.03 % (916)Instructions burned: 102 (million)
% 17.61/5.03 % (916)------------------------------
% 17.61/5.03 % (916)------------------------------
% 18.68/5.06 % (899)Instruction limit reached!
% 18.68/5.06 % (899)------------------------------
% 18.68/5.06 % (899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.68/5.06 % (899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.68/5.06 % (899)Termination reason: Unknown
% 18.68/5.06 % (899)Termination phase: Preprocessing 1
% 18.68/5.06
% 18.68/5.06 % (899)Memory used [KB]: 64860
% 18.68/5.06 % (899)Time elapsed: 0.316 s
% 18.68/5.06 % (899)Instructions burned: 366 (million)
% 18.68/5.06 % (899)------------------------------
% 18.68/5.06 % (899)------------------------------
% 18.91/5.06 % (920)Instruction limit reached!
% 18.91/5.06 % (920)------------------------------
% 18.91/5.06 % (920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.91/5.06 % (920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.91/5.06 % (920)Termination reason: Unknown
% 18.91/5.06 % (920)Termination phase: SInE selection
% 18.91/5.06
% 18.91/5.06 % (920)Memory used [KB]: 58847
% 18.91/5.06 % (920)Time elapsed: 0.108 s
% 18.91/5.06 % (920)Instructions burned: 68 (million)
% 18.91/5.06 % (920)------------------------------
% 18.91/5.06 % (920)------------------------------
% 18.91/5.08 % (927)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/43Mi)
% 18.91/5.10 % (928)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/50Mi)
% 18.91/5.10 % (931)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/437Mi)
% 19.56/5.18 % (919)Instruction limit reached!
% 19.56/5.18 % (919)------------------------------
% 19.56/5.18 % (919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.87/5.19 % (919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.87/5.19 % (919)Termination reason: Unknown
% 19.87/5.19 % (919)Termination phase: SInE selection
% 19.87/5.19
% 19.87/5.19 % (919)Memory used [KB]: 59487
% 19.87/5.20 % (919)Time elapsed: 0.546 s
% 19.87/5.20 % (919)Instructions burned: 290 (million)
% 19.87/5.20 % (919)------------------------------
% 19.87/5.20 % (919)------------------------------
% 19.87/5.23 % (925)Instruction limit reached!
% 19.87/5.23 % (925)------------------------------
% 19.87/5.23 % (925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.87/5.23 % (904)Instruction limit reached!
% 19.87/5.23 % (904)------------------------------
% 19.87/5.23 % (904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.87/5.23 % (904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.87/5.23 % (904)Termination reason: Unknown
% 19.87/5.23 % (904)Termination phase: SInE selection
% 19.87/5.23
% 19.87/5.23 % (904)Memory used [KB]: 58847
% 19.87/5.23 % (904)Time elapsed: 0.208 s
% 19.87/5.23 % (904)Instructions burned: 149 (million)
% 19.87/5.23 % (904)------------------------------
% 19.87/5.23 % (904)------------------------------
% 19.87/5.23 % (925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.87/5.23 % (925)Termination reason: Unknown
% 19.87/5.23 % (925)Termination phase: SInE selection
% 19.87/5.23
% 19.87/5.23 % (925)Memory used [KB]: 58847
% 19.87/5.23 % (925)Time elapsed: 0.245 s
% 19.87/5.23 % (925)Instructions burned: 121 (million)
% 19.87/5.23 % (925)------------------------------
% 19.87/5.23 % (925)------------------------------
% 19.87/5.23 % (934)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/206Mi)
% 20.22/5.24 % (927)Instruction limit reached!
% 20.22/5.24 % (927)------------------------------
% 20.22/5.24 % (927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.22/5.24 % (927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.22/5.24 % (927)Termination reason: Unknown
% 20.22/5.24 % (927)Termination phase: shuffling
% 20.22/5.24
% 20.22/5.24 % (927)Memory used [KB]: 57440
% 20.22/5.24 % (927)Time elapsed: 0.078 s
% 20.22/5.24 % (927)Instructions burned: 43 (million)
% 20.22/5.24 % (927)------------------------------
% 20.22/5.24 % (927)------------------------------
% 20.34/5.29 % (936)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/1501Mi)
% 20.34/5.29 % (935)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/1287Mi)
% 20.34/5.30 % (896)Instruction limit reached!
% 20.34/5.30 % (896)------------------------------
% 20.34/5.30 % (896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.34/5.30 % (896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.34/5.30 % (896)Termination reason: Unknown
% 20.34/5.30 % (896)Termination phase: General splitting
% 20.34/5.30
% 20.34/5.30 % (896)Memory used [KB]: 62429
% 20.34/5.30 % (896)Time elapsed: 0.451 s
% 20.34/5.30 % (896)Instructions burned: 390 (million)
% 20.34/5.30 % (896)------------------------------
% 20.34/5.30 % (896)------------------------------
% 20.68/5.32 % (900)Instruction limit reached!
% 20.68/5.32 % (900)------------------------------
% 20.68/5.32 % (900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.68/5.32 % (900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.68/5.32 % (900)Termination reason: Unknown
% 20.68/5.32 % (900)Termination phase: SInE selection
% 20.68/5.32
% 20.68/5.32 % (900)Memory used [KB]: 60510
% 20.68/5.32 % (900)Time elapsed: 0.450 s
% 20.68/5.32 % (900)Instructions burned: 424 (million)
% 20.68/5.32 % (900)------------------------------
% 20.68/5.32 % (900)------------------------------
% 20.68/5.32 % (880)Instruction limit reached!
% 20.68/5.32 % (880)------------------------------
% 20.68/5.32 % (880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.68/5.32 % (880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.68/5.32 % (880)Termination reason: Unknown
% 20.68/5.32 % (880)Termination phase: shuffling
% 20.68/5.32
% 20.68/5.32 % (880)Memory used [KB]: 65244
% 20.68/5.32 % (880)Time elapsed: 0.458 s
% 20.68/5.32 % (880)Instructions burned: 393 (million)
% 20.68/5.32 % (880)------------------------------
% 20.68/5.32 % (880)------------------------------
% 20.68/5.34 % (937)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/32Mi)
% 20.95/5.37 % (939)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/283Mi)
% 20.95/5.38 % (917)Instruction limit reached!
% 20.95/5.38 % (917)------------------------------
% 20.95/5.38 % (917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.95/5.38 % (917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.95/5.38 % (917)Termination reason: Unknown
% 20.95/5.38 % (917)Termination phase: Preprocessing 1
% 20.95/5.38
% 20.95/5.38 % (917)Memory used [KB]: 62301
% 20.95/5.38 % (917)Time elapsed: 0.229 s
% 20.95/5.38 % (917)Instructions burned: 234 (million)
% 20.95/5.38 % (917)------------------------------
% 20.95/5.38 % (917)------------------------------
% 20.95/5.38 % (940)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/115Mi)
% 20.95/5.39 % (910)Instruction limit reached!
% 20.95/5.39 % (910)------------------------------
% 20.95/5.39 % (910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.95/5.39 % (910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.95/5.39 % (910)Termination reason: Unknown
% 20.95/5.39 % (910)Termination phase: Preprocessing 1
% 20.95/5.39
% 20.95/5.39 % (910)Memory used [KB]: 63708
% 20.95/5.39 % (910)Time elapsed: 0.279 s
% 20.95/5.39 % (910)Instructions burned: 300 (million)
% 20.95/5.39 % (910)------------------------------
% 20.95/5.39 % (910)------------------------------
% 20.95/5.42 % (926)Instruction limit reached!
% 20.95/5.42 % (926)------------------------------
% 20.95/5.42 % (926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.95/5.42 % (926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.95/5.42 % (926)Termination reason: Unknown
% 20.95/5.42 % (926)Termination phase: Preprocessing 1
% 20.95/5.42
% 20.95/5.42 % (926)Memory used [KB]: 59487
% 20.95/5.42 % (926)Time elapsed: 0.126 s
% 20.95/5.42 % (926)Instructions burned: 92 (million)
% 20.95/5.42 % (926)------------------------------
% 20.95/5.42 % (926)------------------------------
% 20.95/5.44 % (922)Instruction limit reached!
% 20.95/5.44 % (922)------------------------------
% 20.95/5.44 % (922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.95/5.44 % (922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.95/5.44 % (922)Termination reason: Unknown
% 20.95/5.44 % (922)Termination phase: SInE selection
% 20.95/5.44
% 20.95/5.44 % (922)Memory used [KB]: 58847
% 20.95/5.44 % (922)Time elapsed: 0.177 s
% 20.95/5.44 % (922)Instructions burned: 126 (million)
% 20.95/5.44 % (922)------------------------------
% 20.95/5.44 % (922)------------------------------
% 21.35/5.45 % (928)Instruction limit reached!
% 21.35/5.45 % (928)------------------------------
% 21.35/5.45 % (928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.35/5.45 % (928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.35/5.45 % (928)Termination reason: Unknown
% 21.35/5.45 % (928)Termination phase: shuffling
% 21.35/5.45
% 21.35/5.45 % (928)Memory used [KB]: 57952
% 21.35/5.45 % (928)Time elapsed: 0.085 s
% 21.35/5.45 % (928)Instructions burned: 50 (million)
% 21.35/5.45 % (928)------------------------------
% 21.35/5.45 % (928)------------------------------
% 21.52/5.49 % (902)Instruction limit reached!
% 21.52/5.49 % (902)------------------------------
% 21.52/5.49 % (902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.52/5.49 % (902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.52/5.49 % (902)Termination reason: Unknown
% 21.52/5.49 % (902)Termination phase: Preprocessing 1
% 21.52/5.49
% 21.52/5.49 % (902)Memory used [KB]: 63325
% 21.52/5.49 % (902)Time elapsed: 0.280 s
% 21.52/5.49 % (902)Instructions burned: 288 (million)
% 21.52/5.49 % (902)------------------------------
% 21.52/5.49 % (902)------------------------------
% 21.52/5.50 % (937)Instruction limit reached!
% 21.52/5.50 % (937)------------------------------
% 21.52/5.50 % (937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.52/5.50 % (937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.52/5.50 % (937)Termination reason: Unknown
% 21.52/5.50 % (937)Termination phase: shuffling
% 21.52/5.50
% 21.52/5.50 % (937)Memory used [KB]: 56672
% 21.52/5.50 % (937)Time elapsed: 0.049 s
% 21.52/5.50 % (937)Instructions burned: 32 (million)
% 21.52/5.50 % (937)------------------------------
% 21.52/5.50 % (937)------------------------------
% 21.52/5.52 % (938)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/117Mi)
% 21.52/5.52 % (942)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/92Mi)
% 21.52/5.53 % (943)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/80Mi)
% 21.83/5.54 % (881)Instruction limit reached!
% 21.83/5.54 % (881)------------------------------
% 21.83/5.54 % (881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.83/5.54 % (881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.83/5.54 % (881)Termination reason: Unknown
% 21.83/5.54 % (881)Termination phase: SInE selection
% 21.83/5.54
% 21.83/5.54 % (881)Memory used [KB]: 60510
% 21.83/5.54 % (881)Time elapsed: 0.488 s
% 21.83/5.54 % (881)Instructions burned: 490 (million)
% 21.83/5.54 % (881)------------------------------
% 21.83/5.54 % (881)------------------------------
% 21.83/5.55 % (941)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/93Mi)
% 22.89/5.58 % (944)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/251Mi)
% 22.89/5.60 % (924)Instruction limit reached!
% 22.89/5.60 % (924)------------------------------
% 22.89/5.60 % (924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.89/5.60 % (924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.89/5.60 % (924)Termination reason: Unknown
% 22.89/5.60 % (924)Termination phase: SInE selection
% 22.89/5.60
% 22.89/5.60 % (924)Memory used [KB]: 58847
% 22.89/5.60 % (924)Time elapsed: 0.187 s
% 22.89/5.60 % (924)Instructions burned: 139 (million)
% 22.89/5.60 % (924)------------------------------
% 22.89/5.60 % (924)------------------------------
% 23.57/5.64 % (946)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/94Mi)
% 23.57/5.65 % (940)Instruction limit reached!
% 23.57/5.65 % (940)------------------------------
% 23.57/5.65 % (940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.57/5.65 % (940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.57/5.65 % (940)Termination reason: Unknown
% 23.57/5.65 % (940)Termination phase: Preprocessing 1
% 23.57/5.65
% 23.57/5.65 % (940)Memory used [KB]: 59871
% 23.57/5.65 % (940)Time elapsed: 0.263 s
% 23.57/5.65 % (940)Instructions burned: 116 (million)
% 23.57/5.65 % (940)------------------------------
% 23.57/5.65 % (940)------------------------------
% 23.57/5.66 % (947)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/285Mi)
% 23.96/5.69 % (948)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/1486Mi)
% 23.96/5.73 % (952)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/106Mi)
% 24.40/5.79 % (954)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/103Mi)
% 24.40/5.79 % (951)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/73Mi)
% 24.40/5.79 % (965)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/134Mi)
% 24.80/5.82 % (955)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/376Mi)
% 24.80/5.84 % (943)Instruction limit reached!
% 24.80/5.84 % (943)------------------------------
% 24.80/5.84 % (943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.80/5.84 % (943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.80/5.84 % (943)Termination reason: Unknown
% 24.80/5.84 % (943)Termination phase: SInE selection
% 24.80/5.84
% 24.80/5.84 % (943)Memory used [KB]: 58847
% 24.80/5.84 % (943)Time elapsed: 0.117 s
% 24.80/5.84 % (943)Instructions burned: 80 (million)
% 24.80/5.84 % (943)------------------------------
% 24.80/5.84 % (943)------------------------------
% 25.04/5.85 % (942)Instruction limit reached!
% 25.04/5.85 % (942)------------------------------
% 25.04/5.85 % (942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.04/5.85 % (942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.04/5.85 % (942)Termination reason: Unknown
% 25.04/5.85 % (942)Termination phase: Preprocessing 1
% 25.04/5.85
% 25.04/5.85 % (942)Memory used [KB]: 59615
% 25.04/5.85 % (942)Time elapsed: 0.126 s
% 25.04/5.85 % (942)Instructions burned: 92 (million)
% 25.04/5.85 % (942)------------------------------
% 25.04/5.85 % (942)------------------------------
% 25.04/5.86 % (939)Instruction limit reached!
% 25.04/5.86 % (939)------------------------------
% 25.04/5.86 % (939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.04/5.86 % (939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.04/5.86 % (939)Termination reason: Unknown
% 25.04/5.86 % (939)Termination phase: Preprocessing 1
% 25.04/5.86
% 25.04/5.86 % (939)Memory used [KB]: 63197
% 25.04/5.86 % (939)Time elapsed: 0.481 s
% 25.04/5.86 % (939)Instructions burned: 283 (million)
% 25.04/5.86 % (939)------------------------------
% 25.04/5.86 % (939)------------------------------
% 25.04/5.87 % (953)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/1488Mi)
% 25.04/5.88 % (934)Instruction limit reached!
% 25.04/5.88 % (934)------------------------------
% 25.04/5.88 % (934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.04/5.88 % (934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.04/5.88 % (934)Termination reason: Unknown
% 25.04/5.88 % (934)Termination phase: SInE selection
% 25.04/5.88
% 25.04/5.88 % (934)Memory used [KB]: 59103
% 25.04/5.88 % (934)Time elapsed: 0.249 s
% 25.04/5.88 % (934)Instructions burned: 207 (million)
% 25.04/5.88 % (934)------------------------------
% 25.04/5.88 % (934)------------------------------
% 25.04/5.89 % (956)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/1345Mi)
% 25.65/5.99 % (875)Refutation not found, non-redundant clauses discarded% (875)------------------------------
% 25.65/5.99 % (875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.65/5.99 % (875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.65/5.99 % (875)Termination reason: Refutation not found, non-redundant clauses discarded
% 25.65/5.99
% 25.65/5.99 % (875)Memory used [KB]: 67802
% 25.65/5.99 % (875)Time elapsed: 2.410 s
% 25.65/5.99 % (875)Instructions burned: 468 (million)
% 25.65/5.99 % (875)------------------------------
% 25.65/5.99 % (875)------------------------------
% 25.89/6.01 % (967)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/177Mi)
% 25.89/6.04 % (918)Instruction limit reached!
% 25.89/6.04 % (918)------------------------------
% 25.89/6.04 % (918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.89/6.04 % (918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.89/6.04 % (918)Termination reason: Unknown
% 25.89/6.04 % (918)Termination phase: SInE selection
% 25.89/6.04
% 25.89/6.04 % (918)Memory used [KB]: 59231
% 25.89/6.04 % (918)Time elapsed: 0.324 s
% 25.89/6.04 % (918)Instructions burned: 246 (million)
% 25.89/6.04 % (918)------------------------------
% 25.89/6.04 % (918)------------------------------
% 26.25/6.05 % (966)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/1498Mi)
% 26.30/6.08 % (898)Instruction limit reached!
% 26.30/6.08 % (898)------------------------------
% 26.30/6.08 % (898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.30/6.08 % (898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.30/6.08 % (898)Termination reason: Unknown
% 26.30/6.08 % (898)Termination phase: Preprocessing 1
% 26.30/6.08
% 26.30/6.08 % (898)Memory used [KB]: 60126
% 26.30/6.08 % (898)Time elapsed: 0.436 s
% 26.30/6.08 % (898)Instructions burned: 357 (million)
% 26.30/6.08 % (898)------------------------------
% 26.30/6.08 % (898)------------------------------
% 26.30/6.09 % (968)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/82Mi)
% 26.30/6.09 % (946)Instruction limit reached!
% 26.30/6.09 % (946)------------------------------
% 26.30/6.09 % (946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.30/6.09 % (946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.30/6.09 % (946)Termination reason: Unknown
% 26.30/6.09 % (946)Termination phase: Preprocessing 1
% 26.30/6.09
% 26.30/6.09 % (946)Memory used [KB]: 59487
% 26.30/6.09 % (946)Time elapsed: 0.127 s
% 26.30/6.09 % (946)Instructions burned: 95 (million)
% 26.30/6.09 % (946)------------------------------
% 26.30/6.09 % (946)------------------------------
% 26.30/6.11 % (969)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/274Mi)
% 26.30/6.13 % (965)Instruction limit reached!
% 26.30/6.13 % (965)------------------------------
% 26.30/6.13 % (965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.30/6.13 % (965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.30/6.13 % (965)Termination reason: Unknown
% 26.30/6.13 % (965)Termination phase: SInE selection
% 26.30/6.13
% 26.30/6.13 % (965)Memory used [KB]: 58847
% 26.30/6.13 % (965)Time elapsed: 0.326 s
% 26.30/6.13 % (965)Instructions burned: 134 (million)
% 26.30/6.13 % (965)------------------------------
% 26.30/6.13 % (965)------------------------------
% 27.35/6.14 % (941)Instruction limit reached!
% 27.35/6.14 % (941)------------------------------
% 27.35/6.14 % (941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.35/6.14 % (941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.35/6.14 % (941)Termination reason: Unknown
% 27.35/6.14 % (941)Termination phase: SInE selection
% 27.35/6.14
% 27.35/6.14 % (941)Memory used [KB]: 58847
% 27.35/6.14 % (941)Time elapsed: 0.144 s
% 27.35/6.14 % (941)Instructions burned: 93 (million)
% 27.35/6.14 % (941)------------------------------
% 27.35/6.14 % (941)------------------------------
% 27.65/6.18 % (938)Instruction limit reached!
% 27.65/6.18 % (938)------------------------------
% 27.65/6.18 % (938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.65/6.18 % (938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.65/6.18 % (938)Termination reason: Unknown
% 27.65/6.18 % (938)Termination phase: Preprocessing 1
% 27.65/6.18
% 27.65/6.18 % (938)Memory used [KB]: 59871
% 27.65/6.18 % (938)Time elapsed: 0.153 s
% 27.65/6.18 % (938)Instructions burned: 117 (million)
% 27.65/6.18 % (938)------------------------------
% 27.65/6.18 % (938)------------------------------
% 27.65/6.19 % (921)Instruction limit reached!
% 27.65/6.19 % (921)------------------------------
% 27.65/6.19 % (921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.65/6.19 % (921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.65/6.19 % (921)Termination reason: Unknown
% 27.65/6.19 % (921)Termination phase: SInE selection
% 27.65/6.19
% 27.65/6.19 % (921)Memory used [KB]: 59231
% 27.65/6.19 % (921)Time elapsed: 0.319 s
% 27.65/6.19 % (921)Instructions burned: 249 (million)
% 27.65/6.19 % (921)------------------------------
% 27.65/6.19 % (921)------------------------------
% 27.65/6.24 % (952)Instruction limit reached!
% 27.65/6.24 % (952)------------------------------
% 27.65/6.24 % (952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.65/6.24 % (952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.65/6.24 % (952)Termination reason: Unknown
% 27.65/6.24 % (952)Termination phase: SInE selection
% 27.65/6.24
% 27.65/6.24 % (952)Memory used [KB]: 58847
% 27.65/6.24 % (952)Time elapsed: 0.152 s
% 27.65/6.24 % (952)Instructions burned: 106 (million)
% 27.65/6.24 % (952)------------------------------
% 27.65/6.24 % (952)------------------------------
% 27.65/6.25 % (967)Instruction limit reached!
% 27.65/6.25 % (967)------------------------------
% 27.65/6.25 % (967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.65/6.25 % (967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.65/6.25 % (967)Termination reason: Unknown
% 27.65/6.25 % (967)Termination phase: Preprocessing 1
% 27.65/6.25
% 27.65/6.25 % (967)Memory used [KB]: 61150
% 27.65/6.25 % (967)Time elapsed: 0.234 s
% 27.65/6.25 % (967)Instructions burned: 177 (million)
% 27.65/6.25 % (967)------------------------------
% 27.65/6.25 % (967)------------------------------
% 28.51/6.28 % (951)Instruction limit reached!
% 28.51/6.28 % (951)------------------------------
% 28.51/6.28 % (951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.51/6.28 % (951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.51/6.28 % (951)Termination reason: Unknown
% 28.51/6.28 % (951)Termination phase: SInE selection
% 28.51/6.28
% 28.51/6.28 % (951)Memory used [KB]: 58847
% 28.51/6.28 % (951)Time elapsed: 0.118 s
% 28.51/6.28 % (951)Instructions burned: 73 (million)
% 28.51/6.28 % (951)------------------------------
% 28.51/6.28 % (951)------------------------------
% 28.51/6.28 % (909)Instruction limit reached!
% 28.51/6.28 % (909)------------------------------
% 28.51/6.28 % (909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.51/6.28 % (909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.51/6.28 % (909)Termination reason: Unknown
% 28.51/6.28 % (909)Termination phase: Preprocessing 1
% 28.51/6.28
% 28.51/6.28 % (909)Memory used [KB]: 60894
% 28.51/6.28 % (909)Time elapsed: 0.455 s
% 28.51/6.28 % (909)Instructions burned: 377 (million)
% 28.51/6.28 % (909)------------------------------
% 28.51/6.28 % (909)------------------------------
% 28.63/6.30 % (954)Instruction limit reached!
% 28.63/6.30 % (954)------------------------------
% 28.63/6.30 % (954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.63/6.30 % (954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.63/6.30 % (954)Termination reason: Unknown
% 28.63/6.30 % (954)Termination phase: SInE selection
% 28.63/6.30
% 28.63/6.30 % (954)Memory used [KB]: 58847
% 28.63/6.30 % (954)Time elapsed: 0.148 s
% 28.63/6.30 % (954)Instructions burned: 103 (million)
% 28.63/6.30 % (954)------------------------------
% 28.63/6.30 % (954)------------------------------
% 28.83/6.32 % (973)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/669Mi)
% 28.83/6.32 % (980)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/503Mi)
% 28.83/6.33 % (972)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/176Mi)
% 28.87/6.39 % (976)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/2681Mi)
% 29.21/6.42 % (975)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/1735Mi)
% 29.21/6.42 % (974)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/156Mi)
% 29.21/6.43 % (944)Instruction limit reached!
% 29.21/6.43 % (944)------------------------------
% 29.21/6.43 % (944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.21/6.43 % (944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.21/6.43 % (944)Termination reason: Unknown
% 29.21/6.43 % (944)Termination phase: Preprocessing 1
% 29.21/6.43
% 29.21/6.43 % (944)Memory used [KB]: 62813
% 29.21/6.43 % (944)Time elapsed: 0.248 s
% 29.21/6.43 % (944)Instructions burned: 251 (million)
% 29.21/6.43 % (944)------------------------------
% 29.21/6.43 % (944)------------------------------
% 29.21/6.45 % (979)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/3303Mi)
% 29.21/6.45 % (978)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/440Mi)
% 29.57/6.48 % (977)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/432Mi)
% 29.57/6.48 % (968)Instruction limit reached!
% 29.57/6.48 % (968)------------------------------
% 29.57/6.48 % (968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.57/6.48 % (968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.57/6.48 % (968)Termination reason: Unknown
% 29.57/6.48 % (968)Termination phase: Preprocessing 1
% 29.57/6.48
% 29.57/6.48 % (968)Memory used [KB]: 59231
% 29.57/6.48 % (968)Time elapsed: 0.117 s
% 29.57/6.48 % (968)Instructions burned: 82 (million)
% 29.57/6.48 % (968)------------------------------
% 29.57/6.48 % (968)------------------------------
% 29.57/6.53 % (981)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/236Mi)
% 29.97/6.58 % (983)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/2543Mi)
% 29.97/6.58 % (931)Instruction limit reached!
% 29.97/6.58 % (931)------------------------------
% 29.97/6.58 % (931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.97/6.58 % (931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.97/6.58 % (931)Termination reason: Unknown
% 29.97/6.58 % (931)Termination phase: SInE selection
% 29.97/6.58
% 29.97/6.58 % (931)Memory used [KB]: 59743
% 29.97/6.58 % (931)Time elapsed: 0.508 s
% 29.97/6.58 % (931)Instructions burned: 437 (million)
% 29.97/6.58 % (931)------------------------------
% 29.97/6.58 % (931)------------------------------
% 30.08/6.59 % (984)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2939ds/45Mi)
% 30.08/6.62 % (901)Instruction limit reached!
% 30.08/6.62 % (901)------------------------------
% 30.08/6.62 % (901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.08/6.62 % (901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.08/6.62 % (901)Termination reason: Unknown
% 30.08/6.62 % (901)Termination phase: Preprocessing 2
% 30.08/6.62
% 30.08/6.62 % (901)Memory used [KB]: 94667
% 30.08/6.62 % (901)Time elapsed: 0.691 s
% 30.08/6.62 % (901)Instructions burned: 753 (million)
% 30.08/6.62 % (901)------------------------------
% 30.08/6.62 % (901)------------------------------
% 30.22/6.62 % (982)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/128Mi)
% 31.50/6.71 % (947)Instruction limit reached!
% 31.50/6.71 % (947)------------------------------
% 31.50/6.71 % (947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.50/6.71 % (947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.50/6.71 % (947)Termination reason: Unknown
% 31.50/6.71 % (947)Termination phase: Preprocessing 1
% 31.50/6.71
% 31.50/6.71 % (947)Memory used [KB]: 63325
% 31.50/6.71 % (947)Time elapsed: 0.277 s
% 31.50/6.71 % (947)Instructions burned: 285 (million)
% 31.50/6.71 % (947)------------------------------
% 31.50/6.71 % (947)------------------------------
% 31.50/6.71 % (985)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/279Mi)
% 32.30/6.77 % (980)Instruction limit reached!
% 32.30/6.77 % (980)------------------------------
% 32.30/6.77 % (980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.30/6.77 % (980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.30/6.77 % (980)Termination reason: Unknown
% 32.30/6.77 % (980)Termination phase: SInE selection
% 32.30/6.77
% 32.30/6.77 % (980)Memory used [KB]: 60510
% 32.30/6.77 % (980)Time elapsed: 0.441 s
% 32.30/6.77 % (980)Instructions burned: 506 (million)
% 32.30/6.77 % (980)------------------------------
% 32.30/6.77 % (980)------------------------------
% 32.30/6.79 % (987)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/121Mi)
% 32.78/6.84 % (991)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/84Mi)
% 32.78/6.84 % (984)Instruction limit reached!
% 32.78/6.84 % (984)------------------------------
% 32.78/6.84 % (984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.78/6.84 % (984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.78/6.84 % (984)Termination reason: Unknown
% 32.78/6.84 % (984)Termination phase: shuffling
% 32.78/6.84
% 32.78/6.84 % (984)Memory used [KB]: 57568
% 32.78/6.84 % (984)Time elapsed: 0.073 s
% 32.78/6.84 % (984)Instructions burned: 45 (million)
% 32.78/6.84 % (984)------------------------------
% 32.78/6.84 % (984)------------------------------
% 33.18/6.88 % (986)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/997Mi)
% 33.18/6.94 % (991)Instruction limit reached!
% 33.18/6.94 % (991)------------------------------
% 33.18/6.94 % (991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.18/6.94 % (991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.18/6.94 % (991)Termination reason: Unknown
% 33.18/6.94 % (991)Termination phase: Preprocessing 1
% 33.18/6.94
% 33.18/6.94 % (991)Memory used [KB]: 59231
% 33.18/6.94 % (991)Time elapsed: 0.108 s
% 33.18/6.94 % (991)Instructions burned: 84 (million)
% 33.18/6.94 % (991)------------------------------
% 33.18/6.94 % (991)------------------------------
% 33.18/6.94 % (988)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/53Mi)
% 34.16/7.01 % (994)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/1290Mi)
% 34.48/7.09 % (969)Instruction limit reached!
% 34.48/7.09 % (969)------------------------------
% 34.48/7.09 % (969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.48/7.09 % (969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.48/7.09 % (969)Termination reason: Unknown
% 34.48/7.09 % (969)Termination phase: SInE selection
% 34.48/7.09
% 34.48/7.09 % (969)Memory used [KB]: 59359
% 34.48/7.09 % (969)Time elapsed: 0.333 s
% 34.48/7.09 % (969)Instructions burned: 274 (million)
% 34.48/7.09 % (969)------------------------------
% 34.48/7.09 % (969)------------------------------
% 34.48/7.09 % (930)Refutation not found, incomplete strategy% (930)------------------------------
% 34.48/7.09 % (930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.48/7.09 % (930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.48/7.09 % (930)Termination reason: Refutation not found, incomplete strategy
% 34.48/7.09
% 34.48/7.09 % (930)Memory used [KB]: 75094
% 34.48/7.09 % (930)Time elapsed: 2.201 s
% 34.48/7.09 % (930)Instructions burned: 887 (million)
% 34.48/7.09 % (930)------------------------------
% 34.48/7.09 % (930)------------------------------
% 34.48/7.10 % (989)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/265Mi)
% 34.90/7.14 % (993)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/162Mi)
% 35.27/7.23 % (988)Instruction limit reached!
% 35.27/7.23 % (988)------------------------------
% 35.27/7.23 % (988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.27/7.23 % (988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.27/7.23 % (988)Termination reason: Unknown
% 35.27/7.23 % (988)Termination phase: shuffling
% 35.27/7.23
% 35.27/7.23 % (988)Memory used [KB]: 58208
% 35.27/7.23 % (988)Time elapsed: 0.084 s
% 35.27/7.23 % (988)Instructions burned: 53 (million)
% 35.27/7.23 % (988)------------------------------
% 35.27/7.23 % (988)------------------------------
% 35.27/7.23 % (987)Instruction limit reached!
% 35.27/7.23 % (987)------------------------------
% 35.27/7.23 % (987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.27/7.23 % (987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.27/7.23 % (987)Termination reason: Unknown
% 35.27/7.23 % (987)Termination phase: SInE selection
% 35.27/7.23
% 35.27/7.23 % (987)Memory used [KB]: 58847
% 35.27/7.23 % (987)Time elapsed: 0.162 s
% 35.27/7.23 % (987)Instructions burned: 121 (million)
% 35.27/7.23 % (987)------------------------------
% 35.27/7.23 % (987)------------------------------
% 35.89/7.31 % (974)Instruction limit reached!
% 35.89/7.31 % (974)------------------------------
% 35.89/7.31 % (974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.89/7.31 % (974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.89/7.31 % (974)Termination reason: Unknown
% 35.89/7.31 % (974)Termination phase: SInE selection
% 35.89/7.31
% 35.89/7.31 % (974)Memory used [KB]: 58847
% 35.89/7.31 % (974)Time elapsed: 0.217 s
% 35.89/7.31 % (974)Instructions burned: 156 (million)
% 35.89/7.31 % (974)------------------------------
% 35.89/7.31 % (974)------------------------------
% 36.72/7.32 % (972)Instruction limit reached!
% 36.72/7.32 % (972)------------------------------
% 36.72/7.32 % (972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.72/7.32 % (972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.72/7.32 % (972)Termination reason: Unknown
% 36.72/7.32 % (972)Termination phase: SInE selection
% 36.72/7.32
% 36.72/7.32 % (972)Memory used [KB]: 58847
% 36.72/7.32 % (972)Time elapsed: 0.241 s
% 36.72/7.32 % (972)Instructions burned: 176 (million)
% 36.72/7.32 % (972)------------------------------
% 36.72/7.32 % (972)------------------------------
% 36.72/7.32 % (996)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/192Mi)
% 36.72/7.33 % (995)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/3040Mi)
% 37.35/7.38 % (982)Instruction limit reached!
% 37.35/7.38 % (982)------------------------------
% 37.35/7.38 % (982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.35/7.38 % (982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.35/7.38 % (982)Termination reason: Unknown
% 37.35/7.38 % (982)Termination phase: SInE selection
% 37.35/7.38
% 37.35/7.38 % (982)Memory used [KB]: 58847
% 37.35/7.38 % (982)Time elapsed: 0.185 s
% 37.35/7.38 % (982)Instructions burned: 128 (million)
% 37.35/7.38 % (982)------------------------------
% 37.35/7.38 % (982)------------------------------
% 37.81/7.45 % (981)Instruction limit reached!
% 37.81/7.45 % (981)------------------------------
% 37.81/7.45 % (981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.81/7.45 % (981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.81/7.45 % (981)Termination reason: Unknown
% 37.81/7.45 % (981)Termination phase: SInE selection
% 37.81/7.45
% 37.81/7.45 % (981)Memory used [KB]: 59103
% 37.81/7.45 % (981)Time elapsed: 0.281 s
% 37.81/7.45 % (981)Instructions burned: 236 (million)
% 37.81/7.45 % (981)------------------------------
% 37.81/7.45 % (981)------------------------------
% 37.81/7.49 % (997)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/163Mi)
% 37.81/7.51 % (955)Instruction limit reached!
% 37.81/7.51 % (955)------------------------------
% 37.81/7.51 % (955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.81/7.51 % (955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.81/7.51 % (955)Termination reason: Unknown
% 37.81/7.51 % (955)Termination phase: SInE selection
% 37.81/7.51
% 37.81/7.51 % (955)Memory used [KB]: 59871
% 37.81/7.51 % (955)Time elapsed: 0.430 s
% 37.81/7.51 % (955)Instructions burned: 376 (million)
% 37.81/7.51 % (955)------------------------------
% 37.81/7.51 % (955)------------------------------
% 37.81/7.52 % (998)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/201Mi)
% 37.81/7.52 % (985)Instruction limit reached!
% 37.81/7.52 % (985)------------------------------
% 37.81/7.52 % (985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.81/7.52 % (985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.81/7.52 % (985)Termination reason: Unknown
% 37.81/7.52 % (985)Termination phase: Preprocessing 1
% 37.81/7.52
% 37.81/7.52 % (985)Memory used [KB]: 63197
% 37.81/7.52 % (985)Time elapsed: 0.261 s
% 37.81/7.52 % (985)Instructions burned: 279 (million)
% 37.81/7.52 % (985)------------------------------
% 37.81/7.52 % (985)------------------------------
% 38.94/7.65 % (1000)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/3643Mi)
% 38.94/7.65 % (1005)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/1174Mi)
% 39.49/7.69 % (1001)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/729Mi)
% 39.89/7.75 % (903)Refutation not found, non-redundant clauses discarded% (903)------------------------------
% 39.89/7.75 % (903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.89/7.75 % (903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.89/7.75 % (903)Termination reason: Refutation not found, non-redundant clauses discarded
% 39.89/7.75
% 39.89/7.75 % (903)Memory used [KB]: 73047
% 39.89/7.75 % (903)Time elapsed: 3.648 s
% 39.89/7.75 % (903)Instructions burned: 980 (million)
% 39.89/7.75 % (903)------------------------------
% 39.89/7.75 % (903)------------------------------
% 39.89/7.76 % (1002)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/292Mi)
% 39.89/7.79 % (1004)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/73Mi)
% 40.98/7.90 % (1006)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/348Mi)
% 41.55/7.91 % (994)Instruction limit reached!
% 41.55/7.91 % (994)------------------------------
% 41.55/7.91 % (994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.55/7.91 % (994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.55/7.91 % (994)Termination reason: Unknown
% 41.55/7.91 % (994)Termination phase: Unused predicate definition removal
% 41.55/7.91
% 41.55/7.91 % (994)Memory used [KB]: 71896
% 41.55/7.91 % (994)Time elapsed: 0.901 s
% 41.55/7.91 % (994)Instructions burned: 1290 (million)
% 41.55/7.91 % (994)------------------------------
% 41.55/7.91 % (994)------------------------------
% 41.55/7.97 % (993)Instruction limit reached!
% 41.55/7.97 % (993)------------------------------
% 41.55/7.97 % (993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.55/7.97 % (993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.55/7.97 % (993)Termination reason: Unknown
% 41.55/7.97 % (993)Termination phase: SInE selection
% 41.55/7.97
% 41.55/7.97 % (993)Memory used [KB]: 58847
% 41.55/7.97 % (993)Time elapsed: 0.220 s
% 41.55/7.97 % (993)Instructions burned: 162 (million)
% 41.55/7.97 % (993)------------------------------
% 41.55/7.97 % (993)------------------------------
% 42.09/7.98 % (996)Instruction limit reached!
% 42.09/7.98 % (996)------------------------------
% 42.09/7.98 % (996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.09/7.98 % (996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.09/7.98 % (996)Termination reason: Unknown
% 42.09/7.98 % (996)Termination phase: SInE selection
% 42.09/7.98
% 42.09/7.98 % (996)Memory used [KB]: 59103
% 42.09/7.98 % (996)Time elapsed: 0.240 s
% 42.09/7.98 % (996)Instructions burned: 192 (million)
% 42.09/7.98 % (996)------------------------------
% 42.09/7.98 % (996)------------------------------
% 42.09/7.98 % (1008)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/3380Mi)
% 42.09/8.03 % (923)Instruction limit reached!
% 42.09/8.03 % (923)------------------------------
% 42.09/8.03 % (923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.09/8.03 % (923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.09/8.03 % (923)Termination reason: Unknown
% 42.09/8.03 % (923)Termination phase: Saturation
% 42.09/8.03
% 42.09/8.03 % (923)Memory used [KB]: 80339
% 42.09/8.03 % (923)Time elapsed: 2.750 s
% 42.09/8.03 % (923)Instructions burned: 997 (million)
% 42.09/8.03 % (923)------------------------------
% 42.09/8.03 % (923)------------------------------
% 43.06/8.14 % (1007)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/772Mi)
% 43.06/8.17 % (1009)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/388Mi)
% 43.06/8.18 % (989)Instruction limit reached!
% 43.06/8.18 % (989)------------------------------
% 43.06/8.18 % (989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.06/8.18 % (989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.06/8.18 % (989)Termination reason: Unknown
% 43.06/8.18 % (989)Termination phase: Preprocessing 1
% 43.06/8.18
% 43.06/8.18 % (989)Memory used [KB]: 62941
% 43.06/8.18 % (989)Time elapsed: 0.268 s
% 43.06/8.18 % (989)Instructions burned: 266 (million)
% 43.06/8.18 % (989)------------------------------
% 43.06/8.18 % (989)------------------------------
% 43.55/8.21 % (978)Instruction limit reached!
% 43.55/8.21 % (978)------------------------------
% 43.55/8.21 % (978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.55/8.21 % (978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.55/8.21 % (978)Termination reason: Unknown
% 43.55/8.21 % (978)Termination phase: shuffling
% 43.55/8.21
% 43.55/8.21 % (978)Memory used [KB]: 67163
% 43.55/8.21 % (978)Time elapsed: 0.412 s
% 43.55/8.21 % (978)Instructions burned: 440 (million)
% 43.55/8.21 % (978)------------------------------
% 43.55/8.21 % (978)------------------------------
% 43.55/8.24 % (997)Instruction limit reached!
% 43.55/8.24 % (997)------------------------------
% 43.55/8.24 % (997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.55/8.24 % (997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.55/8.24 % (997)Termination reason: Unknown
% 43.55/8.24 % (997)Termination phase: SInE selection
% 43.55/8.24
% 43.55/8.24 % (997)Memory used [KB]: 58847
% 43.55/8.24 % (997)Time elapsed: 0.214 s
% 43.55/8.24 % (997)Instructions burned: 163 (million)
% 43.55/8.24 % (997)------------------------------
% 43.55/8.24 % (997)------------------------------
% 43.55/8.25 % (1004)Instruction limit reached!
% 43.55/8.25 % (1004)------------------------------
% 43.55/8.25 % (1004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.55/8.25 % (1004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.55/8.25 % (1004)Termination reason: Unknown
% 43.55/8.25 % (1004)Termination phase: SInE selection
% 43.55/8.25
% 43.55/8.25 % (1004)Memory used [KB]: 58847
% 43.55/8.25 % (1004)Time elapsed: 0.118 s
% 43.55/8.25 % (1004)Instructions burned: 73 (million)
% 43.55/8.25 % (1004)------------------------------
% 43.55/8.25 % (1004)------------------------------
% 43.55/8.25 % (998)Instruction limit reached!
% 43.55/8.25 % (998)------------------------------
% 43.55/8.25 % (998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.55/8.25 % (998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.55/8.25 % (998)Termination reason: Unknown
% 43.55/8.25 % (998)Termination phase: Preprocessing 1
% 43.55/8.25
% 43.55/8.25 % (998)Memory used [KB]: 61662
% 43.55/8.25 % (998)Time elapsed: 0.209 s
% 43.55/8.25 % (998)Instructions burned: 202 (million)
% 43.55/8.25 % (998)------------------------------
% 43.55/8.25 % (998)------------------------------
% 44.06/8.34 % (1010)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/198Mi)
% 44.59/8.38 % (1011)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/226Mi)
% 45.98/8.50 % (1015)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/2097Mi)
% 45.98/8.53 % (936)Instruction limit reached!
% 45.98/8.53 % (936)------------------------------
% 45.98/8.53 % (936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.98/8.53 % (936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.98/8.53 % (936)Termination reason: Unknown
% 45.98/8.53 % (936)Termination phase: Naming
% 45.98/8.53
% 45.98/8.53 % (936)Memory used [KB]: 104518
% 45.98/8.53 % (936)Time elapsed: 1.216 s
% 45.98/8.53 % (936)Instructions burned: 1501 (million)
% 45.98/8.53 % (936)------------------------------
% 45.98/8.53 % (936)------------------------------
% 46.64/8.54 % (1017)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/4956Mi)
% 46.64/8.58 % (1012)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/336Mi)
% 46.91/8.59 % (1013)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/206Mi)
% 46.91/8.62 % (977)Instruction limit reached!
% 46.91/8.62 % (977)------------------------------
% 46.91/8.62 % (977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.91/8.62 % (977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.91/8.62 % (977)Termination reason: Unknown
% 46.91/8.62 % (977)Termination phase: Preprocessing 3
% 46.91/8.62
% 46.91/8.62 % (977)Memory used [KB]: 65755
% 46.91/8.62 % (977)Time elapsed: 0.515 s
% 46.91/8.62 % (977)Instructions burned: 432 (million)
% 46.91/8.62 % (977)------------------------------
% 46.91/8.62 % (977)------------------------------
% 47.34/8.64 % (1019)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/322Mi)
% 48.29/8.77 % (1020)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/1004Mi)
% 49.60/8.99 % (1021)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/654Mi)
% 52.15/9.26 % (1006)Instruction limit reached!
% 52.15/9.26 % (1006)------------------------------
% 52.15/9.26 % (1006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.15/9.26 % (1006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.15/9.26 % (1006)Termination reason: Unknown
% 52.15/9.26 % (1006)Termination phase: Preprocessing 1
% 52.15/9.26
% 52.15/9.26 % (1006)Memory used [KB]: 64604
% 52.15/9.26 % (1006)Time elapsed: 0.331 s
% 52.15/9.26 % (1006)Instructions burned: 348 (million)
% 52.15/9.26 % (1006)------------------------------
% 52.15/9.26 % (1006)------------------------------
% 52.29/9.31 % (1002)Instruction limit reached!
% 52.29/9.31 % (1002)------------------------------
% 52.29/9.31 % (1002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.29/9.31 % (1002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.29/9.31 % (1002)Termination reason: Unknown
% 52.29/9.31 % (1002)Termination phase: SInE selection
% 52.29/9.31
% 52.29/9.31 % (1002)Memory used [KB]: 59743
% 52.29/9.31 % (1002)Time elapsed: 0.378 s
% 52.29/9.31 % (1002)Instructions burned: 292 (million)
% 52.29/9.31 % (1002)------------------------------
% 52.29/9.31 % (1002)------------------------------
% 52.29/9.32 % (1009)Instruction limit reached!
% 52.29/9.32 % (1009)------------------------------
% 52.29/9.32 % (1009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.29/9.32 % (1009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.29/9.32 % (1009)Termination reason: Unknown
% 52.29/9.32 % (1009)Termination phase: Preprocessing 1
% 52.29/9.32
% 52.29/9.32 % (1009)Memory used [KB]: 60766
% 52.29/9.32 % (1009)Time elapsed: 0.428 s
% 52.29/9.32 % (1009)Instructions burned: 388 (million)
% 52.29/9.32 % (1009)------------------------------
% 52.29/9.32 % (1009)------------------------------
% 52.29/9.33 % (966)Instruction limit reached!
% 52.29/9.33 % (966)------------------------------
% 52.29/9.33 % (966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.29/9.33 % (966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.29/9.33 % (966)Termination reason: Unknown
% 52.29/9.33 % (966)Termination phase: Saturation
% 52.29/9.33
% 52.29/9.33 % (966)Memory used [KB]: 93132
% 52.29/9.33 % (966)Time elapsed: 3.065 s
% 52.29/9.33 % (966)Instructions burned: 1499 (million)
% 52.29/9.33 % (966)------------------------------
% 52.29/9.33 % (966)------------------------------
% 53.17/9.36 % (1011)Instruction limit reached!
% 53.17/9.36 % (1011)------------------------------
% 53.17/9.36 % (1011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.17/9.36 % (1011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.17/9.36 % (1011)Termination reason: Unknown
% 53.17/9.36 % (1011)Termination phase: Preprocessing 1
% 53.17/9.36
% 53.17/9.36 % (1011)Memory used [KB]: 62173
% 53.17/9.36 % (1011)Time elapsed: 0.237 s
% 53.17/9.36 % (1011)Instructions burned: 226 (million)
% 53.17/9.36 % (1011)------------------------------
% 53.17/9.36 % (1011)------------------------------
% 53.47/9.43 % (1010)Instruction limit reached!
% 53.47/9.43 % (1010)------------------------------
% 53.47/9.43 % (1010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.47/9.43 % (1010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.47/9.43 % (1010)Termination reason: Unknown
% 53.47/9.43 % (1010)Termination phase: SInE selection
% 53.47/9.43
% 53.47/9.43 % (1010)Memory used [KB]: 59103
% 53.47/9.43 % (1010)Time elapsed: 0.265 s
% 53.47/9.43 % (1010)Instructions burned: 198 (million)
% 53.47/9.43 % (1010)------------------------------
% 53.47/9.43 % (1010)------------------------------
% 53.73/9.53 % (1029)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/98Mi)
% 54.38/9.54 % (1030)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/186Mi)
% 54.38/9.61 % (1026)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/455Mi)
% 55.10/9.65 % (973)Instruction limit reached!
% 55.10/9.65 % (973)------------------------------
% 55.10/9.65 % (973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.10/9.65 % (973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.10/9.65 % (973)Termination reason: Unknown
% 55.10/9.65 % (973)Termination phase: SInE selection
% 55.10/9.65
% 55.10/9.65 % (973)Memory used [KB]: 59999
% 55.10/9.65 % (973)Time elapsed: 0.774 s
% 55.10/9.65 % (973)Instructions burned: 670 (million)
% 55.10/9.65 % (973)------------------------------
% 55.10/9.65 % (973)------------------------------
% 55.61/9.68 % (1005)Instruction limit reached!
% 55.61/9.68 % (1005)------------------------------
% 55.61/9.68 % (1005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.61/9.68 % (1005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.61/9.68 % (1005)Termination reason: Unknown
% 55.61/9.68 % (1005)Termination phase: shuffling
% 55.61/9.68
% 55.61/9.68 % (1005)Memory used [KB]: 117439
% 55.61/9.68 % (1005)Time elapsed: 1.091 s
% 55.61/9.68 % (1005)Instructions burned: 1174 (million)
% 55.61/9.68 % (1005)------------------------------
% 55.61/9.68 % (1005)------------------------------
% 55.66/9.68 % (1031)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/473Mi)
% 56.00/9.73 % (1034)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2908ds/453Mi)
% 56.00/9.78 % (953)Instruction limit reached!
% 56.00/9.78 % (953)------------------------------
% 56.00/9.78 % (953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.00/9.78 % (953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.00/9.78 % (953)Termination reason: Unknown
% 56.00/9.78 % (953)Termination phase: Saturation
% 56.00/9.78
% 56.00/9.78 % (953)Memory used [KB]: 74583
% 56.00/9.78 % (953)Time elapsed: 4.180 s
% 56.00/9.78 % (953)Instructions burned: 1488 (million)
% 56.00/9.78 % (953)------------------------------
% 56.00/9.78 % (953)------------------------------
% 56.00/9.80 % (1013)Instruction limit reached!
% 56.00/9.80 % (1013)------------------------------
% 56.00/9.80 % (1013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.00/9.80 % (1013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.00/9.80 % (1013)Termination reason: Unknown
% 56.00/9.80 % (1013)Termination phase: SInE selection
% 56.00/9.80
% 56.00/9.80 % (1013)Memory used [KB]: 59103
% 56.00/9.80 % (1013)Time elapsed: 0.271 s
% 56.00/9.80 % (1013)Instructions burned: 206 (million)
% 56.00/9.80 % (1013)------------------------------
% 56.00/9.80 % (1013)------------------------------
% 56.71/9.83 % (935)Instruction limit reached!
% 56.71/9.83 % (935)------------------------------
% 56.71/9.83 % (935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.71/9.83 % (935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.71/9.83 % (935)Termination reason: Unknown
% 56.71/9.83 % (935)Termination phase: Preprocessing 3
% 56.71/9.83
% 56.71/9.83 % (935)Memory used [KB]: 135477
% 56.71/9.83 % (935)Time elapsed: 1.224 s
% 56.71/9.83 % (935)Instructions burned: 1287 (million)
% 56.71/9.83 % (935)------------------------------
% 56.71/9.83 % (935)------------------------------
% 56.71/9.84 % (1033)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/433Mi)
% 56.71/9.86 % (1037)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2905ds/848Mi)
% 57.28/9.91 % (1029)Instruction limit reached!
% 57.28/9.91 % (1029)------------------------------
% 57.28/9.91 % (1029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.28/9.91 % (1029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.28/9.91 % (1029)Termination reason: Unknown
% 57.28/9.91 % (1029)Termination phase: SInE selection
% 57.28/9.91
% 57.28/9.91 % (1029)Memory used [KB]: 58847
% 57.28/9.91 % (1029)Time elapsed: 0.136 s
% 57.28/9.91 % (1029)Instructions burned: 98 (million)
% 57.28/9.91 % (1029)------------------------------
% 57.28/9.91 % (1029)------------------------------
% 58.16/10.10 % (1038)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/452Mi)
% 58.16/10.11 % (1045)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/855Mi)
% 58.16/10.13 % (1019)Instruction limit reached!
% 58.16/10.13 % (1019)------------------------------
% 58.16/10.13 % (1019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.16/10.13 % (1019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.16/10.13 % (1019)Termination reason: Unknown
% 58.16/10.13 % (1019)Termination phase: Saturation
% 58.16/10.13
% 58.16/10.13 % (1019)Memory used [KB]: 60766
% 58.16/10.13 % (1019)Time elapsed: 0.396 s
% 58.16/10.13 % (1019)Instructions burned: 322 (million)
% 58.16/10.13 % (1019)------------------------------
% 58.16/10.13 % (1019)------------------------------
% 59.25/10.16 % (1030)Instruction limit reached!
% 59.25/10.16 % (1030)------------------------------
% 59.25/10.16 % (1030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.25/10.16 % (1030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.25/10.16 % (1030)Termination reason: Unknown
% 59.25/10.16 % (1030)Termination phase: SInE selection
% 59.25/10.16
% 59.25/10.16 % (1030)Memory used [KB]: 58975
% 59.25/10.16 % (1030)Time elapsed: 0.232 s
% 59.25/10.16 % (1030)Instructions burned: 186 (million)
% 59.25/10.16 % (1030)------------------------------
% 59.25/10.16 % (1030)------------------------------
% 59.25/10.16 % (1036)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2906ds/802Mi)
% 59.25/10.17 % (1046)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/3379Mi)
% 60.48/10.30 % (1012)Instruction limit reached!
% 60.48/10.30 % (1012)------------------------------
% 60.48/10.30 % (1012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.48/10.30 % (1012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.48/10.30 % (1012)Termination reason: Unknown
% 60.48/10.30 % (1012)Termination phase: Preprocessing 1
% 60.48/10.30
% 60.48/10.30 % (1012)Memory used [KB]: 59871
% 60.48/10.30 % (1012)Time elapsed: 0.419 s
% 60.48/10.30 % (1012)Instructions burned: 336 (million)
% 60.48/10.30 % (1012)------------------------------
% 60.48/10.30 % (1012)------------------------------
% 60.48/10.34 % (1044)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/644Mi)
% 60.48/10.35 % (1008)Instruction limit reached!
% 60.48/10.35 % (1008)------------------------------
% 60.48/10.35 % (1008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.48/10.35 % (1008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.48/10.35 % (1008)Termination reason: Unknown
% 60.48/10.35 % (1008)Termination phase: Saturation
% 60.48/10.35
% 60.48/10.35 % (1008)Memory used [KB]: 115008
% 60.48/10.35 % (1008)Time elapsed: 2.359 s
% 60.48/10.35 % (1008)Instructions burned: 3381 (million)
% 60.48/10.35 % (1008)------------------------------
% 60.48/10.35 % (1008)------------------------------
% 60.48/10.37 % (1048)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2901ds/1024Mi)
% 61.35/10.42 % (1047)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2901ds/1340Mi)
% 61.35/10.42 % (1050)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2899ds/543Mi)
% 61.95/10.53 % (956)Refutation not found, non-redundant clauses discarded% (956)------------------------------
% 61.95/10.53 % (956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.95/10.53 % (956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.95/10.53 % (956)Termination reason: Refutation not found, non-redundant clauses discarded
% 61.95/10.53
% 61.95/10.53 % (956)Memory used [KB]: 73047
% 61.95/10.53 % (956)Time elapsed: 4.800 s
% 61.95/10.53 % (956)Instructions burned: 1227 (million)
% 61.95/10.53 % (956)------------------------------
% 61.95/10.53 % (956)------------------------------
% 61.95/10.55 % (1037)Refutation not found, incomplete strategy% (1037)------------------------------
% 61.95/10.55 % (1037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.95/10.55 % (1037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.95/10.55 % (1037)Termination reason: Refutation not found, incomplete strategy
% 61.95/10.55
% 61.95/10.55 % (1037)Memory used [KB]: 65755
% 61.95/10.55 % (1037)Time elapsed: 0.777 s
% 61.95/10.55 % (1037)Instructions burned: 330 (million)
% 61.95/10.55 % (1037)------------------------------
% 61.95/10.55 % (1037)------------------------------
% 62.51/10.60 % (948)Instruction limit reached!
% 62.51/10.60 % (948)------------------------------
% 62.51/10.60 % (948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.51/10.60 % (948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.51/10.60 % (948)Termination reason: Unknown
% 62.51/10.60 % (948)Termination phase: NewCNF
% 62.51/10.60
% 62.51/10.60 % (948)Memory used [KB]: 143281
% 62.51/10.60 % (948)Time elapsed: 1.336 s
% 62.51/10.60 % (948)Instructions burned: 1486 (million)
% 62.51/10.60 % (948)------------------------------
% 62.51/10.60 % (948)------------------------------
% 62.51/10.60 % (976)Instruction limit reached!
% 62.51/10.60 % (976)------------------------------
% 62.51/10.60 % (976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.51/10.60 % (976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.51/10.60 % (976)Termination reason: Unknown
% 62.51/10.60 % (976)Termination phase: NewCNF
% 62.51/10.60
% 62.51/10.60 % (976)Memory used [KB]: 153899
% 62.51/10.60 % (976)Time elapsed: 2.045 s
% 62.51/10.60 % (976)Instructions burned: 2682 (million)
% 62.51/10.60 % (976)------------------------------
% 62.51/10.60 % (976)------------------------------
% 62.51/10.61 % (1001)Instruction limit reached!
% 62.51/10.61 % (1001)------------------------------
% 62.51/10.61 % (1001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.51/10.61 % (1001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.51/10.61 % (1001)Termination reason: Unknown
% 62.51/10.61 % (1001)Termination phase: Preprocessing 2
% 62.51/10.61
% 62.51/10.61 % (1001)Memory used [KB]: 91981
% 62.51/10.61 % (1001)Time elapsed: 0.709 s
% 62.51/10.61 % (1001)Instructions burned: 730 (million)
% 62.51/10.61 % (1001)------------------------------
% 62.51/10.61 % (1001)------------------------------
% 63.00/10.68 % (1053)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2896ds/918Mi)
% 63.00/10.69 % (1049)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2899ds/480Mi)
% 65.07/10.87 % (1050)Instruction limit reached!
% 65.07/10.87 % (1050)------------------------------
% 65.07/10.87 % (1050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.07/10.87 % (1050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.07/10.87 % (1050)Termination reason: Unknown
% 65.07/10.87 % (1050)Termination phase: Unused predicate definition removal
% 65.07/10.87
% 65.07/10.87 % (1050)Memory used [KB]: 73943
% 65.07/10.87 % (1050)Time elapsed: 0.446 s
% 65.07/10.87 % (1050)Instructions burned: 544 (million)
% 65.07/10.87 % (1050)------------------------------
% 65.07/10.87 % (1050)------------------------------
% 65.62/10.93 % (1054)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2896ds/2016Mi)
% 65.62/10.94 % (1056)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2894ds/439Mi)
% 65.62/10.95 % (1052)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2897ds/670Mi)
% 65.62/10.95 % (1055)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2896ds/124Mi)
% 66.50/11.07 % (1051)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2897ds/2849Mi)
% 66.50/11.12 % (1034)Instruction limit reached!
% 66.50/11.12 % (1034)------------------------------
% 66.50/11.12 % (1034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.50/11.12 % (1034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.50/11.12 % (1034)Termination reason: Unknown
% 66.50/11.12 % (1034)Termination phase: shuffling
% 66.50/11.12
% 66.50/11.12 % (1034)Memory used [KB]: 67930
% 66.50/11.12 % (1034)Time elapsed: 0.406 s
% 66.50/11.12 % (1034)Instructions burned: 453 (million)
% 66.50/11.12 % (1034)------------------------------
% 66.50/11.12 % (1034)------------------------------
% 67.41/11.22 % (1007)Instruction limit reached!
% 67.41/11.22 % (1007)------------------------------
% 67.41/11.22 % (1007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.41/11.22 % (1007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.41/11.22 % (1007)Termination reason: Unknown
% 67.41/11.22 % (1007)Termination phase: Preprocessing 2
% 67.41/11.22
% 67.41/11.22 % (1007)Memory used [KB]: 98377
% 67.41/11.22 % (1007)Time elapsed: 0.749 s
% 67.41/11.22 % (1007)Instructions burned: 773 (million)
% 67.41/11.22 % (1007)------------------------------
% 67.41/11.22 % (1007)------------------------------
% 67.64/11.24 % (1021)Instruction limit reached!
% 67.64/11.24 % (1021)------------------------------
% 67.64/11.24 % (1021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.64/11.24 % (1021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.64/11.24 % (1021)Termination reason: Unknown
% 67.64/11.24 % (1021)Termination phase: SInE selection
% 67.64/11.24
% 67.64/11.24 % (1021)Memory used [KB]: 60894
% 67.64/11.24 % (1021)Time elapsed: 0.575 s
% 67.64/11.24 % (1021)Instructions burned: 654 (million)
% 67.64/11.24 % (1021)------------------------------
% 67.64/11.24 % (1021)------------------------------
% 67.64/11.27 % (1053)Instruction limit reached!
% 67.64/11.27 % (1053)------------------------------
% 67.64/11.27 % (1053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.64/11.27 % (1053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.64/11.27 % (1053)Termination reason: Unknown
% 67.64/11.27 % (1053)Termination phase: Preprocessing 1
% 67.64/11.27
% 67.64/11.27 % (1053)Memory used [KB]: 62173
% 67.64/11.27 % (1053)Time elapsed: 0.589 s
% 67.64/11.27 % (1053)Instructions burned: 918 (million)
% 67.64/11.27 % (1053)------------------------------
% 67.64/11.27 % (1053)------------------------------
% 68.09/11.34 % (1059)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2890ds/1536Mi)
% 68.98/11.38 % (1026)Instruction limit reached!
% 68.98/11.38 % (1026)------------------------------
% 68.98/11.38 % (1026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.98/11.38 % (1026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.98/11.38 % (1026)Termination reason: Unknown
% 68.98/11.38 % (1026)Termination phase: shuffling
% 68.98/11.38
% 68.98/11.38 % (1026)Memory used [KB]: 68058
% 68.98/11.38 % (1026)Time elapsed: 0.432 s
% 68.98/11.38 % (1026)Instructions burned: 455 (million)
% 68.98/11.38 % (1026)------------------------------
% 68.98/11.38 % (1026)------------------------------
% 68.98/11.40 % (1020)Instruction limit reached!
% 68.98/11.40 % (1020)------------------------------
% 68.98/11.40 % (1020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.98/11.40 % (1020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.98/11.40 % (1020)Termination reason: Unknown
% 68.98/11.40 % (1020)Termination phase: Preprocessing 3
% 68.98/11.40
% 68.98/11.40 % (1020)Memory used [KB]: 118846
% 68.98/11.40 % (1020)Time elapsed: 0.925 s
% 68.98/11.40 % (1020)Instructions burned: 1005 (million)
% 68.98/11.40 % (1020)------------------------------
% 68.98/11.40 % (1020)------------------------------
% 68.98/11.41 % (1056)Instruction limit reached!
% 68.98/11.41 % (1056)------------------------------
% 68.98/11.41 % (1056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.98/11.41 % (1056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.98/11.41 % (1056)Termination reason: Unknown
% 68.98/11.41 % (1056)Termination phase: Preprocessing 1
% 68.98/11.41
% 68.98/11.41 % (1056)Memory used [KB]: 61790
% 68.98/11.41 % (1056)Time elapsed: 0.425 s
% 68.98/11.41 % (1056)Instructions burned: 439 (million)
% 68.98/11.41 % (1056)------------------------------
% 68.98/11.41 % (1056)------------------------------
% 68.98/11.42 % (1060)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2890ds/167Mi)
% 69.95/11.54 % (1058)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2890ds/105Mi)
% 69.95/11.55 % (1055)Instruction limit reached!
% 69.95/11.55 % (1055)------------------------------
% 69.95/11.55 % (1055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 69.95/11.55 % (1055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 69.95/11.55 % (1055)Termination reason: Unknown
% 69.95/11.55 % (1055)Termination phase: SInE selection
% 69.95/11.55
% 69.95/11.55 % (1055)Memory used [KB]: 58847
% 69.95/11.55 % (1055)Time elapsed: 0.172 s
% 69.95/11.55 % (1055)Instructions burned: 124 (million)
% 69.95/11.55 % (1055)------------------------------
% 69.95/11.55 % (1055)------------------------------
% 69.95/11.56 % (1062)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2888ds/93Mi)
% 70.11/11.58 % (1031)Refutation not found, non-redundant clauses discarded% (1031)------------------------------
% 70.11/11.58 % (1031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.11/11.58 % (1031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.11/11.58 % (1031)Termination reason: Refutation not found, non-redundant clauses discarded
% 70.11/11.58
% 70.11/11.58 % (1031)Memory used [KB]: 67802
% 70.11/11.58 % (1031)Time elapsed: 2.143 s
% 70.11/11.58 % (1031)Instructions burned: 440 (million)
% 70.11/11.58 % (1031)------------------------------
% 70.11/11.58 % (1031)------------------------------
% 70.43/11.65 % (1057)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2891ds/778Mi)
% 70.61/11.68 % (1061)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2888ds/4507Mi)
% 70.61/11.72 % (1063)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=529:si=on:rawr=on:rtra=on_0 on theBenchmark for (2888ds/529Mi)
% 70.61/11.72 % (1060)Instruction limit reached!
% 70.61/11.72 % (1060)------------------------------
% 70.61/11.72 % (1060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.61/11.72 % (1060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.61/11.72 % (1060)Termination reason: Unknown
% 70.61/11.72 % (1060)Termination phase: Preprocessing 1
% 70.61/11.72
% 70.61/11.72 % (1060)Memory used [KB]: 60894
% 70.61/11.72 % (1060)Time elapsed: 0.169 s
% 70.61/11.72 % (1060)Instructions burned: 167 (million)
% 70.61/11.72 % (1060)------------------------------
% 70.61/11.72 % (1060)------------------------------
% 70.61/11.73 % (986)Instruction limit reached!
% 70.61/11.73 % (986)------------------------------
% 70.61/11.73 % (986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.61/11.73 % (986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.61/11.73 % (986)Termination reason: Unknown
% 70.61/11.73 % (986)Termination phase: Naming
% 70.61/11.73
% 70.61/11.73 % (986)Memory used [KB]: 121021
% 70.61/11.73 % (986)Time elapsed: 1.014 s
% 70.61/11.73 % (986)Instructions burned: 997 (million)
% 70.61/11.73 % (986)------------------------------
% 70.61/11.73 % (986)------------------------------
% 70.92/11.75 % (1038)Instruction limit reached!
% 70.92/11.75 % (1038)------------------------------
% 70.92/11.75 % (1038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.92/11.75 % (1038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.92/11.75 % (1038)Termination reason: Unknown
% 70.92/11.75 % (1038)Termination phase: SInE selection
% 70.92/11.75
% 70.92/11.75 % (1038)Memory used [KB]: 60510
% 70.92/11.75 % (1038)Time elapsed: 0.475 s
% 70.92/11.75 % (1038)Instructions burned: 453 (million)
% 70.92/11.75 % (1038)------------------------------
% 70.92/11.75 % (1038)------------------------------
% 71.31/11.77 % (1062)Instruction limit reached!
% 71.31/11.77 % (1062)------------------------------
% 71.31/11.77 % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 71.31/11.77 % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 71.31/11.77 % (1062)Termination reason: Unknown
% 71.31/11.77 % (1062)Termination phase: Preprocessing 1
% 71.31/11.77
% 71.31/11.77 % (1062)Memory used [KB]: 59359
% 71.31/11.77 % (1062)Time elapsed: 0.119 s
% 71.31/11.77 % (1062)Instructions burned: 93 (million)
% 71.31/11.77 % (1062)------------------------------
% 71.31/11.77 % (1062)------------------------------
% 71.84/11.84 % (1064)lrs+1011_1:1024_av=off:br=off:s2at=3.0:slsq=on:slsqc=2:slsql=off:slsqr=1,8:urr=ec_only:i=1275:si=on:rawr=on:rtra=on_0 on theBenchmark for (2887ds/1275Mi)
% 71.84/11.87 % (1066)dis+1002_1:28_av=off:nwc=5.0:s2a=on:s2at=3.0:i=354:si=on:rawr=on:rtra=on_0 on theBenchmark for (2885ds/354Mi)
% 71.84/11.87 % (1065)dis+10_1:1_av=off:gs=on:newcnf=on:nm=2:plsq=on:plsqr=32,1:sd=1:sos=all:ss=included:st=3.0:i=507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2887ds/507Mi)
% 71.84/11.91 % (1067)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2885ds/210Mi)
% 74.35/12.03 % (1058)Instruction limit reached!
% 74.35/12.03 % (1058)------------------------------
% 74.35/12.03 % (1058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.35/12.03 % (1058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.35/12.03 % (1058)Termination reason: Unknown
% 74.35/12.03 % (1058)Termination phase: SInE selection
% 74.35/12.03
% 74.35/12.03 % (1058)Memory used [KB]: 58847
% 74.35/12.03 % (1058)Time elapsed: 0.151 s
% 74.35/12.03 % (1058)Instructions burned: 105 (million)
% 74.35/12.03 % (1058)------------------------------
% 74.35/12.03 % (1058)------------------------------
% 75.04/12.13 % (1068)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2885ds/93Mi)
% 76.24/12.29 % (1070)dis+1011_1:1_bsr=on:erd=off:nwc=5.0:plsq=on:plsqc=1:plsqr=107,4:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:spb=units:updr=off:i=1114:si=on:rawr=on:rtra=on_0 on theBenchmark for (2884ds/1114Mi)
% 76.53/12.32 % (1071)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2882ds/189Mi)
% 76.70/12.37 % (1067)Instruction limit reached!
% 76.70/12.37 % (1067)------------------------------
% 76.70/12.37 % (1067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 76.70/12.37 % (1067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 76.70/12.37 % (1067)Termination reason: Unknown
% 76.70/12.37 % (1067)Termination phase: SInE selection
% 76.70/12.37
% 76.70/12.37 % (1067)Memory used [KB]: 59103
% 76.70/12.37 % (1067)Time elapsed: 0.250 s
% 76.70/12.37 % (1067)Instructions burned: 210 (million)
% 76.70/12.37 % (1067)------------------------------
% 76.70/12.37 % (1067)------------------------------
% 77.37/12.50 % (1072)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=351:si=on:rawr=on:rtra=on_0 on theBenchmark for (2879ds/351Mi)
% 78.06/12.54 % (1066)Instruction limit reached!
% 78.06/12.54 % (1066)------------------------------
% 78.06/12.54 % (1066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.06/12.54 % (1066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.06/12.54 % (1066)Termination reason: Unknown
% 78.06/12.54 % (1066)Termination phase: SInE selection
% 78.06/12.54
% 78.06/12.54 % (1066)Memory used [KB]: 59743
% 78.06/12.54 % (1066)Time elapsed: 0.362 s
% 78.06/12.54 % (1066)Instructions burned: 354 (million)
% 78.06/12.54 % (1066)------------------------------
% 78.06/12.54 % (1066)------------------------------
% 78.70/12.58 % (975)Instruction limit reached!
% 78.70/12.58 % (975)------------------------------
% 78.70/12.58 % (975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.70/12.58 % (975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.70/12.58 % (975)Termination reason: Unknown
% 78.70/12.58 % (975)Termination phase: Preprocessing 3
% 78.70/12.58
% 78.70/12.58 % (975)Memory used [KB]: 150829
% 78.70/12.58 % (975)Time elapsed: 1.582 s
% 78.70/12.58 % (975)Instructions burned: 1736 (million)
% 78.70/12.58 % (975)------------------------------
% 78.70/12.58 % (975)------------------------------
% 78.70/12.59 % (1059)Instruction limit reached!
% 78.70/12.59 % (1059)------------------------------
% 78.70/12.59 % (1059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.70/12.59 % (1059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.70/12.59 % (1059)Termination reason: Unknown
% 78.70/12.59 % (1059)Termination phase: Preprocessing 3
% 78.70/12.59
% 78.70/12.59 % (1059)Memory used [KB]: 143920
% 78.70/12.59 % (1059)Time elapsed: 1.241 s
% 78.70/12.59 % (1059)Instructions burned: 1537 (million)
% 78.70/12.59 % (1059)------------------------------
% 78.70/12.59 % (1059)------------------------------
% 78.96/12.62 % (1049)Instruction limit reached!
% 78.96/12.62 % (1049)------------------------------
% 78.96/12.62 % (1049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.96/12.62 % (1045)Instruction limit reached!
% 78.96/12.62 % (1045)------------------------------
% 78.96/12.62 % (1045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.96/12.62 % (1049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.96/12.62 % (1049)Termination reason: Unknown
% 78.96/12.62 % (1049)Termination phase: SInE selection
% 78.96/12.62
% 78.96/12.62 % (1049)Memory used [KB]: 60894
% 78.96/12.62 % (1049)Time elapsed: 0.497 s
% 78.96/12.62 % (1049)Instructions burned: 480 (million)
% 78.96/12.62 % (1049)------------------------------
% 78.96/12.62 % (1049)------------------------------
% 78.96/12.63 % (1045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.96/12.63 % (1045)Termination reason: Unknown
% 78.96/12.63 % (1045)Termination phase: Preprocessing 2
% 78.96/12.63
% 78.96/12.63 % (1045)Memory used [KB]: 111554
% 78.96/12.63 % (1045)Time elapsed: 0.776 s
% 78.96/12.63 % (1045)Instructions burned: 855 (million)
% 78.96/12.63 % (1045)------------------------------
% 78.96/12.63 % (1045)------------------------------
% 78.96/12.67 % (1074)ott+1003_1:1_bce=on:bd=preordered:drc=off:fd=preordered:to=lpo:uwa=ground:i=318:si=on:rawr=on:rtra=on_0 on theBenchmark for (2877ds/318Mi)
% 78.96/12.68 % (1073)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2877ds/144Mi)
% 78.96/12.70 % (1068)Instruction limit reached!
% 78.96/12.70 % (1068)------------------------------
% 78.96/12.70 % (1068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.96/12.70 % (1068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.96/12.70 % (1068)Termination reason: Unknown
% 78.96/12.70 % (1068)Termination phase: SInE selection
% 78.96/12.70
% 78.96/12.70 % (1068)Memory used [KB]: 58847
% 78.96/12.70 % (1068)Time elapsed: 0.143 s
% 78.96/12.70 % (1068)Instructions burned: 93 (million)
% 78.96/12.70 % (1068)------------------------------
% 78.96/12.70 % (1068)------------------------------
% 79.57/12.73 % (1033)Instruction limit reached!
% 79.57/12.73 % (1033)------------------------------
% 79.57/12.73 % (1033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 79.57/12.73 % (1033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 79.57/12.73 % (1033)Termination reason: Unknown
% 79.57/12.73 % (1033)Termination phase: Preprocessing 3
% 79.57/12.73
% 79.57/12.73 % (1033)Memory used [KB]: 66395
% 79.57/12.73 % (1033)Time elapsed: 0.540 s
% 79.57/12.73 % (1033)Instructions burned: 433 (million)
% 79.57/12.73 % (1033)------------------------------
% 79.57/12.73 % (1033)------------------------------
% 80.08/12.86 % (1075)dis+21_1:1_aac=none:er=known:lcm=predicate:nwc=3.0:sp=frequency:i=471:si=on:rawr=on:rtra=on_0 on theBenchmark for (2876ds/471Mi)
% 80.61/12.89 % (1044)Instruction limit reached!
% 80.61/12.89 % (1044)------------------------------
% 80.61/12.89 % (1044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 80.61/12.89 % (1044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 80.61/12.89 % (1044)Termination reason: Unknown
% 80.61/12.89 % (1044)Termination phase: SInE selection
% 80.61/12.89
% 80.61/12.89 % (1044)Memory used [KB]: 60510
% 80.61/12.89 % (1044)Time elapsed: 0.589 s
% 80.61/12.89 % (1044)Instructions burned: 645 (million)
% 80.61/12.89 % (1044)------------------------------
% 80.61/12.89 % (1044)------------------------------
% 80.78/12.94 % (1074)Instruction limit reached!
% 80.78/12.94 % (1074)------------------------------
% 80.78/12.94 % (1074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 80.78/12.94 % (1074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 80.78/12.94 % (1074)Termination reason: Unknown
% 80.78/12.94 % (1074)Termination phase: Preprocessing 1
% 80.78/12.94
% 80.78/12.94 % (1074)Memory used [KB]: 63964
% 80.78/12.94 % (1074)Time elapsed: 0.267 s
% 80.78/12.94 % (1074)Instructions burned: 318 (million)
% 80.78/12.94 % (1074)------------------------------
% 80.78/12.94 % (1074)------------------------------
% 80.78/12.94 % (1076)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2876ds/689Mi)
% 80.78/12.97 % (1077)dis+1011_1:16_etr=on:fsd=on:fsr=off:ins=1:plsq=on:plsqr=32,1:sac=on:sp=frequency:spb=goal:ss=axioms:st=2.0:to=lpo:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (2876ds/451Mi)
% 80.78/13.00 % (1078)lrs+1011_1:2_acc=on:avsq=on:avsqc=2:avsqr=1,16:awrs=converge:plsq=on:plsqc=1:plsqr=15,8:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2875ds/125Mi)
% 80.78/13.01 % (1083)lrs+1002_1:64_av=off:bd=off:gsp=on:plsq=on:sos=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2873ds/134Mi)
% 82.19/13.04 % (1071)Instruction limit reached!
% 82.19/13.04 % (1071)------------------------------
% 82.19/13.04 % (1071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 82.19/13.04 % (1071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 82.19/13.04 % (1071)Termination reason: Unknown
% 82.19/13.04 % (1071)Termination phase: Preprocessing 1
% 82.19/13.04
% 82.19/13.04 % (1071)Memory used [KB]: 61917
% 82.19/13.04 % (1071)Time elapsed: 0.209 s
% 82.19/13.04 % (1071)Instructions burned: 189 (million)
% 82.19/13.04 % (1071)------------------------------
% 82.19/13.04 % (1071)------------------------------
% 82.88/13.11 % (1073)Instruction limit reached!
% 82.88/13.11 % (1073)------------------------------
% 82.88/13.11 % (1073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 82.88/13.11 % (1073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 82.88/13.11 % (1073)Termination reason: Unknown
% 82.88/13.11 % (1073)Termination phase: Preprocessing 1
% 82.88/13.11
% 82.88/13.11 % (1073)Memory used [KB]: 60510
% 82.88/13.11 % (1073)Time elapsed: 0.161 s
% 82.88/13.11 % (1073)Instructions burned: 144 (million)
% 82.88/13.11 % (1073)------------------------------
% 82.88/13.11 % (1073)------------------------------
% 82.88/13.15 % (1083)Instruction limit reached!
% 82.88/13.15 % (1083)------------------------------
% 82.88/13.15 % (1083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 82.88/13.15 % (1083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 82.88/13.15 % (1083)Termination reason: Unknown
% 82.88/13.15 % (1083)Termination phase: Preprocessing 1
% 82.88/13.15
% 82.88/13.15 % (1083)Memory used [KB]: 60254
% 82.88/13.15 % (1083)Time elapsed: 0.143 s
% 82.88/13.15 % (1083)Instructions burned: 134 (million)
% 82.88/13.15 % (1083)------------------------------
% 82.88/13.15 % (1083)------------------------------
% 83.57/13.21 % (1080)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2875ds/496Mi)
% 83.57/13.22 % (1087)lrs+10_1:1024_br=off:bs=unit_only:ep=RS:flr=on:fsr=off:lcm=reverse:slsq=on:sos=all:sp=frequency:urr=on:i=392:si=on:rawr=on:rtra=on_0 on theBenchmark for (2871ds/392Mi)
% 83.57/13.29 % (1082)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2873ds/370Mi)
% 84.18/13.32 % (1086)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1879:si=on:rawr=on:rtra=on_0 on theBenchmark for (2871ds/1879Mi)
% 84.18/13.36 % (1084)lrs+1010_1:3_aac=none:anc=all_dependent:bsr=on:fsr=off:nwc=1.5:sos=on:i=401:si=on:rawr=on:rtra=on_0 on theBenchmark for (2872ds/401Mi)
% 84.92/13.43 % (1063)Instruction limit reached!
% 84.92/13.43 % (1063)------------------------------
% 84.92/13.43 % (1063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 84.92/13.43 % (1063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 84.92/13.43 % (1063)Termination reason: Unknown
% 84.92/13.43 % (1063)Termination phase: Unused predicate definition removal
% 84.92/13.43
% 84.92/13.43 % (1063)Memory used [KB]: 73303
% 84.92/13.43 % (1063)Time elapsed: 0.493 s
% 84.92/13.43 % (1063)Instructions burned: 529 (million)
% 84.92/13.43 % (1063)------------------------------
% 84.92/13.43 % (1063)------------------------------
% 84.92/13.43 % (1052)Instruction limit reached!
% 84.92/13.43 % (1052)------------------------------
% 84.92/13.43 % (1052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 84.92/13.43 % (1052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 84.92/13.43 % (1052)Termination reason: Unknown
% 84.92/13.43 % (1052)Termination phase: Property scanning
% 84.92/13.43
% 84.92/13.43 % (1052)Memory used [KB]: 71640
% 84.92/13.43 % (1052)Time elapsed: 0.660 s
% 84.92/13.43 % (1052)Instructions burned: 670 (million)
% 84.92/13.43 % (1052)------------------------------
% 84.92/13.43 % (1052)------------------------------
% 84.92/13.46 % (1072)Instruction limit reached!
% 84.92/13.46 % (1072)------------------------------
% 84.92/13.46 % (1072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 84.92/13.46 % (1072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 84.92/13.46 % (1072)Termination reason: Unknown
% 84.92/13.46 % (1072)Termination phase: Preprocessing 1
% 84.92/13.46
% 84.92/13.46 % (1072)Memory used [KB]: 59999
% 84.92/13.46 % (1072)Time elapsed: 0.388 s
% 84.92/13.46 % (1072)Instructions burned: 351 (million)
% 84.92/13.46 % (1072)------------------------------
% 84.92/13.46 % (1072)------------------------------
% 85.55/13.51 % (1078)Instruction limit reached!
% 85.55/13.51 % (1078)------------------------------
% 85.55/13.51 % (1078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 85.55/13.51 % (1078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 85.55/13.51 % (1078)Termination reason: Unknown
% 85.55/13.51 % (1078)Termination phase: Preprocessing 1
% 85.55/13.51
% 85.55/13.51 % (1078)Memory used [KB]: 60126
% 85.55/13.51 % (1078)Time elapsed: 0.150 s
% 85.55/13.51 % (1078)Instructions burned: 126 (million)
% 85.55/13.51 % (1078)------------------------------
% 85.55/13.51 % (1078)------------------------------
% 85.55/13.59 % (1048)Instruction limit reached!
% 85.55/13.59 % (1048)------------------------------
% 85.55/13.59 % (1048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 85.55/13.59 % (1048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 85.55/13.59 % (1048)Termination reason: Unknown
% 85.55/13.59 % (1048)Termination phase: Naming
% 85.55/13.59
% 85.55/13.59 % (1048)Memory used [KB]: 121405
% 85.55/13.59 % (1048)Time elapsed: 0.954 s
% 85.55/13.59 % (1048)Instructions burned: 1024 (million)
% 85.55/13.59 % (1048)------------------------------
% 85.55/13.59 % (1048)------------------------------
% 86.07/13.62 % (1087)Instruction limit reached!
% 86.07/13.62 % (1087)------------------------------
% 86.07/13.62 % (1087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 86.07/13.62 % (1087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 86.07/13.62 % (1087)Termination reason: Unknown
% 86.07/13.62 % (1087)Termination phase: Preprocessing 1
% 86.07/13.62
% 86.07/13.62 % (1087)Memory used [KB]: 60894
% 86.07/13.62 % (1087)Time elapsed: 0.393 s
% 86.07/13.62 % (1087)Instructions burned: 393 (million)
% 86.07/13.62 % (1087)------------------------------
% 86.07/13.62 % (1087)------------------------------
% 86.07/13.66 % (1088)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=3473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2868ds/3473Mi)
% 86.07/13.66 % (1065)Instruction limit reached!
% 86.07/13.66 % (1065)------------------------------
% 86.07/13.66 % (1065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 86.07/13.66 % (1065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 86.07/13.66 % (1065)Termination reason: Unknown
% 86.07/13.66 % (1065)Termination phase: Function definition elimination
% 86.07/13.66
% 86.07/13.66 % (1065)Memory used [KB]: 63325
% 86.07/13.66 % (1065)Time elapsed: 0.520 s
% 86.07/13.66 % (1065)Instructions burned: 507 (million)
% 86.07/13.66 % (1065)------------------------------
% 86.07/13.66 % (1065)------------------------------
% 86.07/13.69 % (1095)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=254:si=on:rawr=on:rtra=on_0 on theBenchmark for (2866ds/254Mi)
% 87.06/13.70 % (1090)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2868ds/154Mi)
% 87.06/13.72 % (1089)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2868ds/131Mi)
% 87.06/13.73 % (1015)Instruction limit reached!
% 87.06/13.73 % (1015)------------------------------
% 87.06/13.73 % (1015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 87.06/13.73 % (1015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 87.06/13.73 % (1015)Termination reason: Unknown
% 87.06/13.73 % (1015)Termination phase: Preprocessing 3
% 87.06/13.73
% 87.06/13.73 % (1015)Memory used [KB]: 129081
% 87.06/13.73 % (1015)Time elapsed: 1.665 s
% 87.06/13.73 % (1015)Instructions burned: 2098 (million)
% 87.06/13.73 % (1015)------------------------------
% 87.06/13.73 % (1015)------------------------------
% 87.54/13.80 % (1094)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2867ds/668Mi)
% 88.78/13.91 % (1095)Instruction limit reached!
% 88.78/13.91 % (1095)------------------------------
% 88.78/13.91 % (1095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 88.78/13.91 % (1095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 88.78/13.91 % (1095)Termination reason: Unknown
% 88.78/13.91 % (1095)Termination phase: Preprocessing 1
% 88.78/13.91
% 88.78/13.91 % (1095)Memory used [KB]: 62685
% 88.78/13.91 % (1095)Time elapsed: 0.220 s
% 88.78/13.91 % (1095)Instructions burned: 254 (million)
% 88.78/13.91 % (1095)------------------------------
% 88.78/13.91 % (1095)------------------------------
% 88.78/13.91 % (1101)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=1452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2866ds/1452Mi)
% 89.54/13.95 % (1075)Instruction limit reached!
% 89.54/13.95 % (1075)------------------------------
% 89.54/13.95 % (1075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 89.54/13.95 % (1075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 89.54/13.95 % (1075)Termination reason: Unknown
% 89.54/13.95 % (1075)Termination phase: shuffling
% 89.54/13.95
% 89.54/13.95 % (1075)Memory used [KB]: 69082
% 89.54/13.95 % (1075)Time elapsed: 0.416 s
% 89.54/13.95 % (1075)Instructions burned: 471 (million)
% 89.54/13.95 % (1075)------------------------------
% 89.54/13.95 % (1075)------------------------------
% 89.54/13.97 % (1036)Instruction limit reached!
% 89.54/13.97 % (1036)------------------------------
% 89.54/13.97 % (1036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 89.54/13.97 % (1036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 89.54/13.97 % (1036)Termination reason: Unknown
% 89.54/13.97 % (1036)Termination phase: Preprocessing 1
% 89.54/13.97
% 89.54/13.97 % (1036)Memory used [KB]: 63581
% 89.54/13.97 % (1036)Time elapsed: 0.719 s
% 89.54/13.97 % (1036)Instructions burned: 802 (million)
% 89.54/13.97 % (1036)------------------------------
% 89.54/13.97 % (1036)------------------------------
% 89.54/13.98 % (1104)dis+1010_1:1_aac=none:anc=all:bs=on:erd=off:etr=on:flr=on:gsp=on:lcm=reverse:nm=5:nwc=3.0:sac=on:sfv=off:skr=on:sp=reverse_arity:urr=on:uwa=interpreted_only:i=1043:si=on:rawr=on:rtra=on_0 on theBenchmark for (2864ds/1043Mi)
% 89.54/13.98 % (1102)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2866ds/2772Mi)
% 90.98/14.18 % (1105)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2863ds/561Mi)
% 91.22/14.20 % (1103)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2865ds/3180Mi)
% 91.54/14.33 % (1089)Instruction limit reached!
% 91.54/14.33 % (1089)------------------------------
% 91.54/14.33 % (1089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 91.54/14.33 % (1089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 91.54/14.33 % (1089)Termination reason: Unknown
% 91.54/14.33 % (1089)Termination phase: SInE selection
% 91.54/14.33
% 91.54/14.33 % (1089)Memory used [KB]: 58847
% 91.54/14.33 % (1089)Time elapsed: 0.177 s
% 91.54/14.33 % (1089)Instructions burned: 131 (million)
% 91.54/14.33 % (1089)------------------------------
% 91.54/14.33 % (1089)------------------------------
% 92.16/14.40 % (1090)Instruction limit reached!
% 92.16/14.40 % (1090)------------------------------
% 92.16/14.40 % (1090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 92.16/14.40 % (1090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 92.16/14.40 % (1090)Termination reason: Unknown
% 92.16/14.40 % (1090)Termination phase: SInE selection
% 92.16/14.40
% 92.16/14.40 % (1090)Memory used [KB]: 58847
% 92.16/14.40 % (1090)Time elapsed: 0.201 s
% 92.16/14.40 % (1090)Instructions burned: 154 (million)
% 92.16/14.40 % (1090)------------------------------
% 92.16/14.40 % (1090)------------------------------
% 92.55/14.42 % (1106)lrs+10_2:1_av=off:bsd=on:fd=off:nm=0:nwc=2.0:spb=goal:to=lpo:urr=on:i=604:si=on:rawr=on:rtra=on_0 on theBenchmark for (2862ds/604Mi)
% 92.55/14.44 % (995)Instruction limit reached!
% 92.55/14.44 % (995)------------------------------
% 92.55/14.44 % (995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 92.55/14.44 % (995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 92.55/14.44 % (995)Termination reason: Unknown
% 92.55/14.44 % (995)Termination phase: Preprocessing 3
% 92.55/14.44
% 92.55/14.44 % (995)Memory used [KB]: 169762
% 92.55/14.44 % (995)Time elapsed: 2.372 s
% 92.55/14.44 % (995)Instructions burned: 3041 (million)
% 92.55/14.44 % (995)------------------------------
% 92.55/14.44 % (995)------------------------------
% 92.88/14.58 % (1084)Instruction limit reached!
% 92.88/14.58 % (1084)------------------------------
% 92.88/14.58 % (1084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 92.88/14.58 % (1084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 92.88/14.58 % (1084)Termination reason: Unknown
% 92.88/14.58 % (1084)Termination phase: Preprocessing 1
% 92.88/14.58
% 92.88/14.58 % (1084)Memory used [KB]: 65627
% 92.88/14.58 % (1084)Time elapsed: 0.358 s
% 92.88/14.58 % (1084)Instructions burned: 401 (million)
% 92.88/14.58 % (1084)------------------------------
% 92.88/14.58 % (1084)------------------------------
% 92.88/14.58 % (1077)Instruction limit reached!
% 92.88/14.58 % (1077)------------------------------
% 92.88/14.58 % (1077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 92.88/14.58 % (1077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 92.88/14.58 % (1077)Termination reason: Unknown
% 92.88/14.58 % (1077)Termination phase: SInE selection
% 92.88/14.58
% 92.88/14.58 % (1077)Memory used [KB]: 60510
% 92.88/14.58 % (1077)Time elapsed: 0.470 s
% 92.88/14.58 % (1077)Instructions burned: 451 (million)
% 92.88/14.58 % (1077)------------------------------
% 92.88/14.58 % (1077)------------------------------
% 94.52/14.60 % (1107)lrs+10_1:16_br=off:fde=none:ins=1:nwc=3.0:sos=on:ss=axioms:urr=on:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2859ds/234Mi)
% 94.52/14.62 % (1109)ott+10_13:991_awrs=decay:awrsf=1:bd=preordered:drc=off:fd=preordered:sp=const_frequency:spb=goal_then_units:uwa=all:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2858ds/360Mi)
% 95.09/14.68 % (1108)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2858ds/109Mi)
% 96.39/14.83 % (1057)Instruction limit reached!
% 96.39/14.83 % (1057)------------------------------
% 96.39/14.83 % (1057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 96.39/14.83 % (1057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 96.39/14.83 % (1057)Termination reason: Unknown
% 96.39/14.83 % (1057)Termination phase: Preprocessing 1
% 96.39/14.83
% 96.39/14.83 % (1057)Memory used [KB]: 63325
% 96.39/14.83 % (1057)Time elapsed: 0.731 s
% 96.39/14.83 % (1057)Instructions burned: 778 (million)
% 96.39/14.83 % (1057)------------------------------
% 96.39/14.83 % (1057)------------------------------
% 96.39/14.85 % (1104)Instruction limit reached!
% 96.39/14.85 % (1104)------------------------------
% 96.39/14.85 % (1104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 96.39/14.85 % (1104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 96.39/14.85 % (1104)Termination reason: Unknown
% 96.39/14.85 % (1104)Termination phase: Naming
% 96.39/14.85
% 96.39/14.85 % (1104)Memory used [KB]: 122556
% 96.39/14.85 % (1104)Time elapsed: 0.870 s
% 96.39/14.85 % (1104)Instructions burned: 1043 (million)
% 96.39/14.85 % (1104)------------------------------
% 96.39/14.85 % (1104)------------------------------
% 96.66/14.87 % (1110)dis+1003_1:1_bce=on:fs=off:fsr=off:gs=on:newcnf=on:plsq=on:plsqr=32,1:skr=on:sos=on:sp=frequency:spb=units:i=660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2856ds/660Mi)
% 96.66/14.90 % (1111)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=982:si=on:rawr=on:rtra=on_0 on theBenchmark for (2856ds/982Mi)
% 96.66/14.90 % (1082)Instruction limit reached!
% 96.66/14.90 % (1082)------------------------------
% 96.66/14.90 % (1082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 96.66/14.90 % (1082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 96.66/14.90 % (1082)Termination reason: Unknown
% 96.66/14.90 % (1082)Termination phase: Preprocessing 1
% 96.66/14.90
% 96.66/14.90 % (1082)Memory used [KB]: 64988
% 96.66/14.90 % (1082)Time elapsed: 0.349 s
% 96.66/14.90 % (1082)Instructions burned: 370 (million)
% 96.66/14.90 % (1082)------------------------------
% 96.66/14.90 % (1082)------------------------------
% 96.66/14.93 % (1113)dis+1011_39044:804583_anc=all:avsq=on:avsqr=302,909:awrs=decay:awrsf=20:bd=off:bsr=on:cond=on:gsp=on:nm=0:nwc=2.0:plsq=on:plsqr=9,13:s2a=on:s2agt=16:sac=on:thsq=on:thsqc=32:thsqd=32:thsql=off:to=lpo:updr=off:uwa=all:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2854ds/1174Mi)
% 98.02/15.10 % (1061)First to succeed.
% 98.02/15.15 % (1076)Instruction limit reached!
% 98.02/15.15 % (1076)------------------------------
% 98.02/15.15 % (1076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 98.02/15.15 % (1076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 98.02/15.15 % (1076)Termination reason: Unknown
% 98.02/15.15 % (1076)Termination phase: Preprocessing 2
% 98.02/15.15
% 98.02/15.15 % (1076)Memory used [KB]: 86096
% 98.02/15.15 % (1076)Time elapsed: 0.637 s
% 98.02/15.15 % (1076)Instructions burned: 689 (million)
% 98.02/15.15 % (1076)------------------------------
% 98.02/15.15 % (1076)------------------------------
% 98.90/15.18 % (1109)Instruction limit reached!
% 98.90/15.18 % (1109)------------------------------
% 98.90/15.18 % (1109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 98.90/15.18 % (1109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 98.90/15.18 % (1109)Termination reason: Unknown
% 98.90/15.18 % (1109)Termination phase: Preprocessing 1
% 98.90/15.18
% 98.90/15.18 % (1109)Memory used [KB]: 64860
% 98.90/15.18 % (1109)Time elapsed: 0.305 s
% 98.90/15.18 % (1109)Instructions burned: 361 (million)
% 98.90/15.18 % (1109)------------------------------
% 98.90/15.18 % (1109)------------------------------
% 99.58/15.22 % (1108)Instruction limit reached!
% 99.58/15.22 % (1108)------------------------------
% 99.58/15.22 % (1108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 99.58/15.22 % (1108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 99.58/15.22 % (1108)Termination reason: Unknown
% 99.58/15.22 % (1108)Termination phase: SInE selection
% 99.58/15.22
% 99.58/15.22 % (1108)Memory used [KB]: 58847
% 99.58/15.22 % (1108)Time elapsed: 0.155 s
% 99.58/15.22 % (1108)Instructions burned: 109 (million)
% 99.58/15.22 % (1108)------------------------------
% 99.58/15.22 % (1108)------------------------------
% 100.20/15.29 % (1114)dis+1003_1:128_avsq=on:bce=on:newcnf=on:urr=on:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2854ds/91Mi)
% 100.20/15.31 % (1047)Instruction limit reached!
% 100.20/15.31 % (1047)------------------------------
% 100.20/15.31 % (1047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 100.20/15.31 % (1047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 100.20/15.31 % (1047)Termination reason: Unknown
% 100.20/15.31 % (1047)Termination phase: Saturation
% 100.20/15.31
% 100.20/15.31 % (1047)Memory used [KB]: 80723
% 100.20/15.31 % (1047)Time elapsed: 5.103 s
% 100.20/15.31 % (1047)Instructions burned: 1341 (million)
% 100.20/15.31 % (1047)------------------------------
% 100.20/15.31 % (1047)------------------------------
% 100.20/15.33 % (1117)lrs+1002_1:1_sd=2:sos=on:ss=axioms:st=5.0:i=555:si=on:rawr=on:rtra=on_0 on theBenchmark for (2851ds/555Mi)
% 100.20/15.34 % (1115)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2853ds/248Mi)
% 101.05/15.44 % (1061)Refutation found. Thanks to Tanya!
% 101.05/15.44 % SZS status Theorem for theBenchmark
% 101.05/15.44 % SZS output start Proof for theBenchmark
% See solution above
% 101.05/15.50 % (1061)------------------------------
% 101.05/15.50 % (1061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 101.05/15.50 % (1061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 101.05/15.50 % (1061)Termination reason: Refutation
% 101.05/15.50
% 101.05/15.50 % (1061)Memory used [KB]: 69593
% 101.05/15.50 % (1061)Time elapsed: 3.684 s
% 101.05/15.50 % (1061)Instructions burned: 1101 (million)
% 101.05/15.50 % (1061)------------------------------
% 101.05/15.50 % (1061)------------------------------
% 101.05/15.50 % (813)Success in time 15.159 s
%------------------------------------------------------------------------------