TSTP Solution File: LAT352+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Thu Aug 31 06:36:52 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 709
% Syntax : Number of formulae : 2797 ( 107 unt; 0 def)
% Number of atoms : 13738 ( 420 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 19406 (8465 ~;8946 |;1252 &)
% ( 592 <=>; 151 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 660 ( 658 usr; 579 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 15 con; 0-4 aty)
% Number of variables : 1905 (;1807 !; 98 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6284,plain,
$false,
inference(avatar_sat_refutation,[],[f895,f900,f909,f914,f919,f928,f940,f956,f964,f971,f977,f982,f987,f992,f999,f1006,f1010,f1019,f1023,f1027,f1034,f1041,f1056,f1095,f1100,f1109,f1114,f1119,f1128,f1140,f1156,f1164,f1171,f1177,f1182,f1187,f1192,f1199,f1206,f1210,f1219,f1223,f1227,f1234,f1241,f1256,f1263,f1264,f1275,f1284,f1286,f1288,f1291,f1293,f1295,f1297,f1304,f1305,f1307,f1309,f1311,f1313,f1315,f1317,f1321,f1328,f1333,f1345,f1352,f1357,f1378,f1386,f1392,f1401,f1415,f1424,f1432,f1445,f1450,f1458,f1467,f1477,f1486,f1499,f1508,f1517,f1526,f1532,f1539,f1544,f1554,f1559,f1577,f1582,f1594,f1603,f1616,f1625,f1642,f1644,f1658,f1664,f1670,f1678,f1685,f1721,f1751,f1759,f1761,f1766,f1777,f1781,f1795,f1799,f1827,f1828,f1841,f1842,f1850,f1854,f1872,f1876,f1892,f1897,f1915,f1916,f1932,f1937,f1945,f1956,f1974,f1983,f1999,f2008,f2010,f2016,f2018,f2044,f2066,f2071,f2089,f2098,f2115,f2229,f2234,f2244,f2249,f2258,f2263,f2272,f2277,f2296,f2309,f2319,f2321,f2336,f2342,f2348,f2356,f2363,f2378,f2383,f2393,f2395,f2410,f2419,f2432,f2441,f2452,f2458,f2464,f2470,f2477,f2502,f2504,f2523,f2528,f2530,f2539,f2544,f2552,f2557,f2566,f2571,f2581,f2598,f2609,f2613,f2623,f2627,f2637,f2641,f2652,f2656,f2667,f2671,f2684,f2693,f2702,f2711,f2722,f2736,f2753,f2758,f2760,f2765,f2776,f2786,f2791,f2801,f2806,f2822,f2848,f2855,f2871,f2884,f2894,f2896,f3053,f3057,f3064,f3069,f3075,f3078,f3087,f3093,f3099,f3101,f3110,f3116,f3121,f3133,f3142,f3145,f3153,f3157,f3171,f3205,f3209,f3214,f3226,f3244,f3248,f3275,f3290,f3297,f3314,f3320,f3322,f3344,f3380,f3389,f3398,f3407,f3435,f3444,f3453,f3462,f3493,f3502,f3503,f3504,f3505,f3512,f3519,f3528,f3543,f3579,f3588,f3597,f3606,f3620,f3629,f3638,f3647,f3661,f3670,f3679,f3688,f3702,f3711,f3720,f3729,f3776,f3781,f3791,f3796,f3805,f3810,f3820,f3825,f3834,f3839,f3850,f3855,f3864,f3869,f3880,f3885,f3896,f3915,f3935,f3940,f3959,f3977,f3981,f4003,f4023,f4025,f4043,f4056,f4064,f4083,f4092,f4106,f4129,f4137,f4138,f4159,f4164,f4182,f4195,f4220,f4233,f4235,f4253,f4266,f4284,f4297,f4305,f4324,f4343,f4362,f4381,f4385,f4393,f4397,f4401,f4405,f4412,f4416,f4433,f4439,f4443,f4448,f4459,f4483,f4504,f4508,f4513,f4534,f4545,f4546,f4550,f4554,f4567,f4576,f4595,f4600,f4606,f4611,f4617,f4629,f4635,f4641,f4647,f4652,f4667,f4671,f4677,f4681,f4686,f4698,f4703,f4709,f4714,f4719,f4737,f4743,f4748,f4754,f4759,f4761,f4767,f4777,f4783,f4794,f4798,f4803,f4812,f4817,f4822,f4827,f4843,f4848,f4853,f4855,f4860,f4869,f4874,f4880,f4885,f4894,f4899,f4905,f4910,f4927,f4948,f4956,f4961,f4974,f4995,f5003,f5008,f5021,f5037,f5042,f5055,f5070,f5075,f5088,f5102,f5110,f5143,f5156,f5176,f5190,f5216,f5228,f5239,f5256,f5263,f5273,f5288,f5301,f5323,f5328,f5332,f5337,f5370,f5376,f5380,f5386,f5390,f5395,f5403,f5416,f5426,f5439,f5457,f5463,f5469,f5473,f5481,f5492,f5510,f5515,f5519,f5523,f5528,f5536,f5557,f5563,f5567,f5573,f5577,f5582,f5590,f5605,f5622,f5627,f5631,f5636,f5644,f5659,f5677,f5683,f5689,f5693,f5701,f5712,f5730,f5735,f5739,f5743,f5748,f5756,f5810,f5826,f5842,f5858,f5874,f5908,f5915,f5925,f5952,f5961,f5968,f5978,f5995,f6000,f6011,f6016,f6026,f6027,f6032,f6037,f6048,f6050,f6072,f6082,f6100,f6110,f6188,f6198,f6208,f6217,f6227,f6240,f6244,f6247,f6253,f6259,f6283]) ).
fof(f6283,plain,
~ spl73_578,
inference(avatar_contradiction_clause,[],[f6282]) ).
fof(f6282,plain,
( $false
| ~ spl73_578 ),
inference(trivial_inequality_removal,[],[f6281]) ).
fof(f6281,plain,
( sF68 != sF68
| ~ spl73_578 ),
inference(superposition,[],[f852,f6265]) ).
fof(f6265,plain,
( sF68 = sF71
| ~ spl73_578 ),
inference(backward_demodulation,[],[f851,f6263]) ).
fof(f6263,plain,
( sF68 = k2_yellow_0(sK39,sF70)
| ~ spl73_578 ),
inference(resolution,[],[f6258,f672]) ).
fof(f672,plain,
! [X2,X0,X1] :
( ~ sP20(X0,X1,X2)
| k2_yellow_0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f422]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ( sP20(X0,X1,X2)
| ~ r2_hidden(k2_yellow_0(X1,X0),X0)
| k2_yellow_0(X1,X0) != X2
| ~ r2_yellow_0(X1,X0) )
& ( ( r2_hidden(k2_yellow_0(X1,X0),X0)
& k2_yellow_0(X1,X0) = X2
& r2_yellow_0(X1,X0) )
| ~ sP20(X0,X1,X2) ) ),
inference(rectify,[],[f421]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ( sP20(X2,X0,X1)
| ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2) )
& ( ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) )
| ~ sP20(X2,X0,X1) ) ),
inference(flattening,[],[f420]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ( sP20(X2,X0,X1)
| ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2) )
& ( ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) )
| ~ sP20(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f345,plain,
! [X2,X0,X1] :
( sP20(X2,X0,X1)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f6258,plain,
( sP20(sF70,sK39,sF68)
| ~ spl73_578 ),
inference(avatar_component_clause,[],[f6256]) ).
fof(f6256,plain,
( spl73_578
<=> sP20(sF70,sK39,sF68) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_578])]) ).
fof(f851,plain,
k2_yellow_0(sK39,sF70) = sF71,
introduced(function_definition,[]) ).
fof(f852,plain,
sF68 != sF71,
inference(definition_folding,[],[f516,f851,f850,f849,f848,f847,f846]) ).
fof(f846,plain,
u1_struct_0(sK40) = sF66,
introduced(function_definition,[]) ).
fof(f847,plain,
k1_waybel34(sK39,sK40,sK41) = sF67,
introduced(function_definition,[]) ).
fof(f848,plain,
k7_yellow_2(sF66,sK39,sF67,sK42) = sF68,
introduced(function_definition,[]) ).
fof(f849,plain,
k7_waybel_0(sK40,sK42) = sF69,
introduced(function_definition,[]) ).
fof(f850,plain,
k5_pre_topc(sK39,sK40,sK41,sF69) = sF70,
introduced(function_definition,[]) ).
fof(f516,plain,
k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,sK41),sK42) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,sK42))),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,sK41),sK42) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,sK42)))
& m1_subset_1(sK42,u1_struct_0(sK40))
& m2_relset_1(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& v17_waybel_0(sK41,sK39,sK40)
& v1_funct_2(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& v1_funct_1(sK41)
& l1_orders_2(sK40)
& v3_lattice3(sK40)
& v2_lattice3(sK40)
& v1_lattice3(sK40)
& v4_orders_2(sK40)
& v3_orders_2(sK40)
& v2_orders_2(sK40)
& l1_orders_2(sK39)
& v3_lattice3(sK39)
& v2_lattice3(sK39)
& v1_lattice3(sK39)
& v4_orders_2(sK39)
& v3_orders_2(sK39)
& v2_orders_2(sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42])],[f157,f384,f383,f382,f381]) ).
fof(f381,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),sK39,k1_waybel34(sK39,X1,X2),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(sK39),u1_struct_0(X1))
& v17_waybel_0(X2,sK39,X1)
& v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(sK39)
& v3_lattice3(sK39)
& v2_lattice3(sK39)
& v1_lattice3(sK39)
& v4_orders_2(sK39)
& v3_orders_2(sK39)
& v2_orders_2(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f382,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),sK39,k1_waybel34(sK39,X1,X2),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(sK39),u1_struct_0(X1))
& v17_waybel_0(X2,sK39,X1)
& v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,X2),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,X2,k7_waybel_0(sK40,X3)))
& m1_subset_1(X3,u1_struct_0(sK40)) )
& m2_relset_1(X2,u1_struct_0(sK39),u1_struct_0(sK40))
& v17_waybel_0(X2,sK39,sK40)
& v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(sK40))
& v1_funct_1(X2) )
& l1_orders_2(sK40)
& v3_lattice3(sK40)
& v2_lattice3(sK40)
& v1_lattice3(sK40)
& v4_orders_2(sK40)
& v3_orders_2(sK40)
& v2_orders_2(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f383,plain,
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,X2),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,X2,k7_waybel_0(sK40,X3)))
& m1_subset_1(X3,u1_struct_0(sK40)) )
& m2_relset_1(X2,u1_struct_0(sK39),u1_struct_0(sK40))
& v17_waybel_0(X2,sK39,sK40)
& v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(sK40))
& v1_funct_1(X2) )
=> ( ? [X3] :
( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,sK41),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X3)))
& m1_subset_1(X3,u1_struct_0(sK40)) )
& m2_relset_1(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& v17_waybel_0(sK41,sK39,sK40)
& v1_funct_2(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& v1_funct_1(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f384,plain,
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,sK41),X3) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X3)))
& m1_subset_1(X3,u1_struct_0(sK40)) )
=> ( k7_yellow_2(u1_struct_0(sK40),sK39,k1_waybel34(sK39,sK40,sK41),sK42) != k2_yellow_0(sK39,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,sK42)))
& m1_subset_1(sK42,u1_struct_0(sK40)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',t2_waybel34) ).
fof(f6259,plain,
( spl73_578
| ~ spl73_397
| ~ spl73_8
| ~ spl73_575 ),
inference(avatar_split_clause,[],[f6254,f6237,f917,f4456,f6256]) ).
fof(f4456,plain,
( spl73_397
<=> m1_subset_1(sF68,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_397])]) ).
fof(f917,plain,
( spl73_8
<=> ! [X1] :
( ~ m1_subset_1(X1,sF72)
| sP21(X1,sK39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_8])]) ).
fof(f6237,plain,
( spl73_575
<=> r3_waybel_1(sK39,sF68,sF70) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_575])]) ).
fof(f6254,plain,
( ~ m1_subset_1(sF68,sF72)
| sP20(sF70,sK39,sF68)
| ~ spl73_8
| ~ spl73_575 ),
inference(resolution,[],[f6239,f1451]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ r3_waybel_1(sK39,X0,X1)
| ~ m1_subset_1(X0,sF72)
| sP20(X1,sK39,X0) )
| ~ spl73_8 ),
inference(resolution,[],[f918,f669]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ sP21(X0,X1)
| ~ r3_waybel_1(X1,X0,X2)
| sP20(X2,X1,X0) ),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
! [X0,X1] :
( ! [X2] :
( ( r3_waybel_1(X1,X0,X2)
| ~ sP20(X2,X1,X0) )
& ( sP20(X2,X1,X0)
| ~ r3_waybel_1(X1,X0,X2) ) )
| ~ sP21(X0,X1) ),
inference(rectify,[],[f418]) ).
fof(f418,plain,
! [X1,X0] :
( ! [X2] :
( ( r3_waybel_1(X0,X1,X2)
| ~ sP20(X2,X0,X1) )
& ( sP20(X2,X0,X1)
| ~ r3_waybel_1(X0,X1,X2) ) )
| ~ sP21(X1,X0) ),
inference(nnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X1,X0] :
( ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> sP20(X2,X0,X1) )
| ~ sP21(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f918,plain,
( ! [X1] :
( sP21(X1,sK39)
| ~ m1_subset_1(X1,sF72) )
| ~ spl73_8 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f6239,plain,
( r3_waybel_1(sK39,sF68,sF70)
| ~ spl73_575 ),
inference(avatar_component_clause,[],[f6237]) ).
fof(f6253,plain,
( ~ spl73_161
| ~ spl73_119
| spl73_577
| ~ spl73_122
| ~ spl73_121
| ~ spl73_112
| ~ spl73_267 ),
inference(avatar_split_clause,[],[f6249,f3294,f1636,f1744,f1748,f6251,f1736,f2285]) ).
fof(f2285,plain,
( spl73_161
<=> l1_struct_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_161])]) ).
fof(f1736,plain,
( spl73_119
<=> v1_funct_1(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_119])]) ).
fof(f6251,plain,
( spl73_577
<=> ! [X0] :
( r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,X0),k10_relat_1(sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_577])]) ).
fof(f1748,plain,
( spl73_122
<=> v1_funct_2(sK41,sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_122])]) ).
fof(f1744,plain,
( spl73_121
<=> m2_relset_1(sK41,sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_121])]) ).
fof(f1636,plain,
( spl73_112
<=> l1_struct_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_112])]) ).
fof(f3294,plain,
( spl73_267
<=> sP23(sK40,sK41,sK39,sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_267])]) ).
fof(f6249,plain,
( ! [X0] :
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_2(sK41,sF72,sF66)
| r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,X0),k10_relat_1(sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66)
| ~ v1_funct_1(sK41)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6248,f854]) ).
fof(f854,plain,
u1_struct_0(sK39) = sF72,
introduced(function_definition,[]) ).
fof(f6248,plain,
( ! [X0] :
( ~ v1_funct_2(sK41,sF72,sF66)
| r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,X0),k10_relat_1(sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6232,f854]) ).
fof(f6232,plain,
( ! [X0] :
( r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,X0),k10_relat_1(sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_267 ),
inference(superposition,[],[f3302,f1688]) ).
fof(f1688,plain,
( ! [X8,X9,X7] :
( k5_pre_topc(X8,sK40,X7,X9) = k10_relat_1(X7,X9)
| ~ v1_funct_2(X7,u1_struct_0(X8),sF66)
| ~ v1_funct_1(X7)
| ~ m2_relset_1(X7,u1_struct_0(X8),sF66)
| ~ l1_struct_0(X8) )
| ~ spl73_112 ),
inference(forward_literal_rewriting,[],[f1687,f803]) ).
fof(f803,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',redefinition_m2_relset_1) ).
fof(f1687,plain,
( ! [X8,X9,X7] :
( ~ v1_funct_2(X7,u1_struct_0(X8),sF66)
| ~ m1_relset_1(X7,u1_struct_0(X8),sF66)
| ~ v1_funct_1(X7)
| k5_pre_topc(X8,sK40,X7,X9) = k10_relat_1(X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1686,f846]) ).
fof(f1686,plain,
( ! [X8,X9,X7] :
( ~ m1_relset_1(X7,u1_struct_0(X8),sF66)
| ~ v1_funct_2(X7,u1_struct_0(X8),u1_struct_0(sK40))
| ~ v1_funct_1(X7)
| k5_pre_topc(X8,sK40,X7,X9) = k10_relat_1(X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1651,f846]) ).
fof(f1651,plain,
( ! [X8,X9,X7] :
( ~ m1_relset_1(X7,u1_struct_0(X8),u1_struct_0(sK40))
| ~ v1_funct_2(X7,u1_struct_0(X8),u1_struct_0(sK40))
| ~ v1_funct_1(X7)
| k5_pre_topc(X8,sK40,X7,X9) = k10_relat_1(X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_112 ),
inference(resolution,[],[f1637,f808]) ).
fof(f808,plain,
! [X2,X3,X0,X1] :
( ~ l1_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& l1_struct_0(X0) )
=> k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',redefinition_k5_pre_topc) ).
fof(f1637,plain,
( l1_struct_0(sK40)
| ~ spl73_112 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f3302,plain,
( ! [X0] :
( r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66) )
| ~ spl73_267 ),
inference(forward_demodulation,[],[f3301,f846]) ).
fof(f3301,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF66)
| r3_waybel_1(sK39,k7_yellow_2(u1_struct_0(sK40),sK39,sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0))) )
| ~ spl73_267 ),
inference(forward_demodulation,[],[f3300,f846]) ).
fof(f3300,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK40))
| r3_waybel_1(sK39,k7_yellow_2(u1_struct_0(sK40),sK39,sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0))) )
| ~ spl73_267 ),
inference(resolution,[],[f3296,f683]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP23(X0,X1,X2,X3)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,X5),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,X5))) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( ( sP23(X0,X1,X2,X3)
| ( ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,sK47(X0,X1,X2,X3)),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,sK47(X0,X1,X2,X3))))
& m1_subset_1(sK47(X0,X1,X2,X3),u1_struct_0(X0)) )
| ~ v5_orders_3(X1,X2,X0) )
& ( ( ! [X5] :
( r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,X5),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
& v5_orders_3(X1,X2,X0) )
| ~ sP23(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f430,f431]) ).
fof(f431,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,X4),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
=> ( ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,sK47(X0,X1,X2,X3)),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,sK47(X0,X1,X2,X3))))
& m1_subset_1(sK47(X0,X1,X2,X3),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f430,plain,
! [X0,X1,X2,X3] :
( ( sP23(X0,X1,X2,X3)
| ? [X4] :
( ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,X4),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v5_orders_3(X1,X2,X0) )
& ( ( ! [X5] :
( r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,X5),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
& v5_orders_3(X1,X2,X0) )
| ~ sP23(X0,X1,X2,X3) ) ),
inference(rectify,[],[f429]) ).
fof(f429,plain,
! [X1,X2,X0,X3] :
( ( sP23(X1,X2,X0,X3)
| ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ sP23(X1,X2,X0,X3) ) ),
inference(flattening,[],[f428]) ).
fof(f428,plain,
! [X1,X2,X0,X3] :
( ( sP23(X1,X2,X0,X3)
| ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ sP23(X1,X2,X0,X3) ) ),
inference(nnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X1,X2,X0,X3] :
( sP23(X1,X2,X0,X3)
<=> ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f3296,plain,
( sP23(sK40,sK41,sK39,sF67)
| ~ spl73_267 ),
inference(avatar_component_clause,[],[f3294]) ).
fof(f6247,plain,
( ~ spl73_101
| spl73_575
| ~ spl73_267 ),
inference(avatar_split_clause,[],[f6246,f3294,f6237,f1547]) ).
fof(f1547,plain,
( spl73_101
<=> m1_subset_1(sK42,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_101])]) ).
fof(f6246,plain,
( r3_waybel_1(sK39,sF68,sF70)
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6245,f848]) ).
fof(f6245,plain,
( r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,sK42),sF70)
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6231,f850]) ).
fof(f6231,plain,
( r3_waybel_1(sK39,k7_yellow_2(sF66,sK39,sF67,sK42),k5_pre_topc(sK39,sK40,sK41,sF69))
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(superposition,[],[f3302,f849]) ).
fof(f6244,plain,
( ~ spl73_147
| ~ spl73_145
| ~ spl73_146
| spl73_114
| spl73_576
| ~ spl73_173
| ~ spl73_267 ),
inference(avatar_split_clause,[],[f6233,f3294,f2361,f6242,f1655,f2037,f2033,f2041]) ).
fof(f2041,plain,
( spl73_147
<=> v1_funct_2(sF67,sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_147])]) ).
fof(f2033,plain,
( spl73_145
<=> v1_funct_1(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_145])]) ).
fof(f2037,plain,
( spl73_146
<=> m2_relset_1(sF67,sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_146])]) ).
fof(f1655,plain,
( spl73_114
<=> v1_xboole_0(sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_114])]) ).
fof(f6242,plain,
( spl73_576
<=> ! [X0] :
( r3_waybel_1(sK39,k1_funct_1(sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_576])]) ).
fof(f2361,plain,
( spl73_173
<=> ! [X6,X4,X5] :
( ~ m2_relset_1(X6,X5,sF72)
| v1_xboole_0(X5)
| k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_173])]) ).
fof(f6233,plain,
( ! [X0] :
( r3_waybel_1(sK39,k1_funct_1(sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66)
| v1_xboole_0(sF66)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sF67,sF66,sF72) )
| ~ spl73_173
| ~ spl73_267 ),
inference(duplicate_literal_removal,[],[f6230]) ).
fof(f6230,plain,
( ! [X0] :
( r3_waybel_1(sK39,k1_funct_1(sF67,X0),k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,X0)))
| ~ m1_subset_1(X0,sF66)
| v1_xboole_0(sF66)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ m1_subset_1(X0,sF66)
| ~ v1_funct_2(sF67,sF66,sF72) )
| ~ spl73_173
| ~ spl73_267 ),
inference(superposition,[],[f3302,f2362]) ).
fof(f2362,plain,
( ! [X6,X4,X5] :
( k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| v1_xboole_0(X5)
| ~ m2_relset_1(X6,X5,sF72)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,sF72) )
| ~ spl73_173 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f6240,plain,
( ~ spl73_101
| spl73_575
| ~ spl73_267 ),
inference(avatar_split_clause,[],[f6235,f3294,f6237,f1547]) ).
fof(f6235,plain,
( r3_waybel_1(sK39,sF68,sF70)
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6234,f850]) ).
fof(f6234,plain,
( r3_waybel_1(sK39,sF68,k5_pre_topc(sK39,sK40,sK41,sF69))
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(forward_demodulation,[],[f6229,f849]) ).
fof(f6229,plain,
( r3_waybel_1(sK39,sF68,k5_pre_topc(sK39,sK40,sK41,k7_waybel_0(sK40,sK42)))
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_267 ),
inference(superposition,[],[f3302,f848]) ).
fof(f6227,plain,
( spl73_355
| spl73_367
| spl73_574
| ~ spl73_433 ),
inference(avatar_split_clause,[],[f6221,f4756,f6224,f4213,f4122]) ).
fof(f4122,plain,
( spl73_355
<=> v1_xboole_0(k1_tarski(sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_355])]) ).
fof(f4213,plain,
( spl73_367
<=> v1_xboole_0(k2_tarski(sF67,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_367])]) ).
fof(f6224,plain,
( spl73_574
<=> v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_574])]) ).
fof(f4756,plain,
( spl73_433
<=> k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK52(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_433])]) ).
fof(f6221,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK52(sK40,sK39)))
| v1_xboole_0(k2_tarski(sF67,sK52(sK40,sK39)))
| v1_xboole_0(k1_tarski(sF67))
| ~ spl73_433 ),
inference(superposition,[],[f702,f4758]) ).
fof(f4758,plain,
( k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK52(sK40,sK39))
| ~ spl73_433 ),
inference(avatar_component_clause,[],[f4756]) ).
fof(f702,plain,
! [X0,X1] :
( v1_setfam_1(k2_tarski(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( v1_setfam_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ( v1_setfam_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ( v1_setfam_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc3_setfam_1) ).
fof(f6217,plain,
( spl73_572
| spl73_573
| ~ spl73_569 ),
inference(avatar_split_clause,[],[f6209,f6185,f6215,f6211]) ).
fof(f6211,plain,
( spl73_572
<=> v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_572])]) ).
fof(f6215,plain,
( spl73_573
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_573])]) ).
fof(f6185,plain,
( spl73_569
<=> v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_569])]) ).
fof(f6209,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40))) )
| ~ spl73_569 ),
inference(resolution,[],[f6187,f664]) ).
fof(f664,plain,
! [X0,X1] :
( ~ v1_setfam_1(X0)
| ~ m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( v1_setfam_1(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_setfam_1) ).
fof(f6187,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)))
| ~ spl73_569 ),
inference(avatar_component_clause,[],[f6185]) ).
fof(f6208,plain,
( spl73_347
| spl73_379
| spl73_571
| ~ spl73_425 ),
inference(avatar_split_clause,[],[f6202,f4700,f6205,f4277,f4032]) ).
fof(f4032,plain,
( spl73_347
<=> v1_xboole_0(k1_tarski(sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_347])]) ).
fof(f4277,plain,
( spl73_379
<=> v1_xboole_0(k2_tarski(sK41,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_379])]) ).
fof(f6205,plain,
( spl73_571
<=> v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_571])]) ).
fof(f4700,plain,
( spl73_425
<=> k1_waybel_1(sK39,sK40,sK41,sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_425])]) ).
fof(f6202,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sK52(sK39,sK40)))
| v1_xboole_0(k2_tarski(sK41,sK52(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK41))
| ~ spl73_425 ),
inference(superposition,[],[f702,f4702]) ).
fof(f4702,plain,
( k1_waybel_1(sK39,sK40,sK41,sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK52(sK39,sK40)))
| ~ spl73_425 ),
inference(avatar_component_clause,[],[f4700]) ).
fof(f6198,plain,
( spl73_355
| spl73_361
| spl73_570
| ~ spl73_417 ),
inference(avatar_split_clause,[],[f6192,f4649,f6195,f4175,f4122]) ).
fof(f4175,plain,
( spl73_361
<=> v1_xboole_0(k2_tarski(sF67,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_361])]) ).
fof(f6195,plain,
( spl73_570
<=> v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_570])]) ).
fof(f4649,plain,
( spl73_417
<=> k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK51(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_417])]) ).
fof(f6192,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK51(sK40,sK39)))
| v1_xboole_0(k2_tarski(sF67,sK51(sK40,sK39)))
| v1_xboole_0(k1_tarski(sF67))
| ~ spl73_417 ),
inference(superposition,[],[f702,f4651]) ).
fof(f4651,plain,
( k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK51(sK40,sK39))
| ~ spl73_417 ),
inference(avatar_component_clause,[],[f4649]) ).
fof(f6188,plain,
( spl73_347
| spl73_373
| spl73_569
| ~ spl73_409 ),
inference(avatar_split_clause,[],[f6182,f4597,f6185,f4246,f4032]) ).
fof(f4246,plain,
( spl73_373
<=> v1_xboole_0(k2_tarski(sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_373])]) ).
fof(f4597,plain,
( spl73_409
<=> k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_409])]) ).
fof(f6182,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)))
| v1_xboole_0(k2_tarski(sK41,sK51(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK41))
| ~ spl73_409 ),
inference(superposition,[],[f702,f4599]) ).
fof(f4599,plain,
( k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK51(sK39,sK40)))
| ~ spl73_409 ),
inference(avatar_component_clause,[],[f4597]) ).
fof(f6110,plain,
( ~ spl73_478
| ~ spl73_251 ),
inference(avatar_split_clause,[],[f4267,f3113,f5282]) ).
fof(f5282,plain,
( spl73_478
<=> v1_xboole_0(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_478])]) ).
fof(f3113,plain,
( spl73_251
<=> k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK41,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_251])]) ).
fof(f4267,plain,
( ~ v1_xboole_0(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ spl73_251 ),
inference(superposition,[],[f695,f3115]) ).
fof(f3115,plain,
( k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK41,sK52(sK39,sK40)))
| ~ spl73_251 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f695,plain,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0,X1] :
( v1_finset_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc2_finset_1) ).
fof(f6100,plain,
( ~ spl73_251
| ~ spl73_478 ),
inference(avatar_contradiction_clause,[],[f6094]) ).
fof(f6094,plain,
( $false
| ~ spl73_251
| ~ spl73_478 ),
inference(resolution,[],[f5284,f4267]) ).
fof(f5284,plain,
( v1_xboole_0(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ spl73_478 ),
inference(avatar_component_clause,[],[f5282]) ).
fof(f6082,plain,
( ~ spl73_476
| ~ spl73_250 ),
inference(avatar_split_clause,[],[f4236,f3107,f5250]) ).
fof(f5250,plain,
( spl73_476
<=> v1_xboole_0(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_476])]) ).
fof(f3107,plain,
( spl73_250
<=> k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_250])]) ).
fof(f4236,plain,
( ~ v1_xboole_0(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ spl73_250 ),
inference(superposition,[],[f695,f3109]) ).
fof(f3109,plain,
( k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK41,sK51(sK39,sK40)))
| ~ spl73_250 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f6072,plain,
( ~ spl73_250
| ~ spl73_476 ),
inference(avatar_contradiction_clause,[],[f6066]) ).
fof(f6066,plain,
( $false
| ~ spl73_250
| ~ spl73_476 ),
inference(resolution,[],[f5252,f4236]) ).
fof(f5252,plain,
( v1_xboole_0(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ spl73_476 ),
inference(avatar_component_clause,[],[f5250]) ).
fof(f6050,plain,
spl73_563,
inference(avatar_contradiction_clause,[],[f6049]) ).
fof(f6049,plain,
( $false
| spl73_563 ),
inference(resolution,[],[f6006,f812]) ).
fof(f812,plain,
l1_orders_2(sK57),
inference(cnf_transformation,[],[f480]) ).
fof(f480,plain,
l1_orders_2(sK57),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f71,f479]) ).
fof(f479,plain,
( ? [X0] : l1_orders_2(X0)
=> l1_orders_2(sK57) ),
introduced(choice_axiom,[]) ).
fof(f71,axiom,
? [X0] : l1_orders_2(X0),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',existence_l1_orders_2) ).
fof(f6006,plain,
( ~ l1_orders_2(sK57)
| spl73_563 ),
inference(avatar_component_clause,[],[f6004]) ).
fof(f6004,plain,
( spl73_563
<=> l1_orders_2(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_563])]) ).
fof(f6048,plain,
( spl73_568
| spl73_560
| ~ spl73_87 ),
inference(avatar_split_clause,[],[f6041,f1475,f5958,f6045]) ).
fof(f6045,plain,
( spl73_568
<=> m1_subset_1(sK50(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_568])]) ).
fof(f5958,plain,
( spl73_560
<=> v3_struct_0(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_560])]) ).
fof(f1475,plain,
( spl73_87
<=> ! [X0] :
( sP28(sK40,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_87])]) ).
fof(f6041,plain,
( v3_struct_0(sK62)
| m1_subset_1(sK50(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_87 ),
inference(resolution,[],[f3857,f825]) ).
fof(f825,plain,
l1_orders_2(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
( v3_yellow_0(sK62)
& v2_yellow_0(sK62)
& v1_yellow_0(sK62)
& v3_lattice3(sK62)
& v2_lattice3(sK62)
& v1_lattice3(sK62)
& v4_orders_2(sK62)
& v3_orders_2(sK62)
& v2_orders_2(sK62)
& ~ v3_struct_0(sK62)
& l1_orders_2(sK62) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f109,f489]) ).
fof(f489,plain,
( ? [X0] :
( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_yellow_0(sK62)
& v2_yellow_0(sK62)
& v1_yellow_0(sK62)
& v3_lattice3(sK62)
& v2_lattice3(sK62)
& v1_lattice3(sK62)
& v4_orders_2(sK62)
& v3_orders_2(sK62)
& v2_orders_2(sK62)
& ~ v3_struct_0(sK62)
& l1_orders_2(sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f109,axiom,
? [X0] :
( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc2_yellow_0) ).
fof(f3857,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK50(sK40,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF66))) )
| ~ spl73_87 ),
inference(resolution,[],[f2828,f787]) ).
fof(f787,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_m2_relset_1) ).
fof(f2828,plain,
( ! [X0] :
( m2_relset_1(sK50(sK40,X0),u1_struct_0(X0),sF66)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_87 ),
inference(forward_literal_rewriting,[],[f2827,f804]) ).
fof(f804,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f476]) ).
fof(f2827,plain,
( ! [X0] :
( m1_relset_1(sK50(sK40,X0),u1_struct_0(X0),sF66)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_87 ),
inference(forward_demodulation,[],[f2823,f846]) ).
fof(f2823,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK50(sK40,X0),u1_struct_0(X0),u1_struct_0(sK40)) )
| ~ spl73_87 ),
inference(resolution,[],[f1476,f721]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| m1_relset_1(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( ( v19_waybel_0(sK50(X0,X1),X1,X0)
& v17_waybel_0(sK50(X0,X1),X1,X0)
& v1_funct_2(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(sK50(X0,X1))
& v1_funct_1(sK50(X0,X1))
& v1_relat_1(sK50(X0,X1))
& m1_relset_1(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP28(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f445,f446]) ).
fof(f446,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X1,X0)
& v17_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v19_waybel_0(sK50(X0,X1),X1,X0)
& v17_waybel_0(sK50(X0,X1),X1,X0)
& v1_funct_2(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(sK50(X0,X1))
& v1_funct_1(sK50(X0,X1))
& v1_relat_1(sK50(X0,X1))
& m1_relset_1(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f445,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X1,X0)
& v17_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP28(X0,X1) ),
inference(rectify,[],[f444]) ).
fof(f444,plain,
! [X1,X0] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP28(X1,X0) ),
inference(nnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X1,X0] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP28(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1476,plain,
( ! [X0] :
( sP28(sK40,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_87 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f6037,plain,
( spl73_567
| spl73_560
| ~ spl73_84 ),
inference(avatar_split_clause,[],[f6020,f1456,f5958,f6034]) ).
fof(f6034,plain,
( spl73_567
<=> m1_subset_1(sK49(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_567])]) ).
fof(f1456,plain,
( spl73_84
<=> ! [X0] :
( sP27(sK40,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_84])]) ).
fof(f6020,plain,
( v3_struct_0(sK62)
| m1_subset_1(sK49(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_84 ),
inference(resolution,[],[f3827,f825]) ).
fof(f3827,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK49(sK40,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF66))) )
| ~ spl73_84 ),
inference(resolution,[],[f2819,f787]) ).
fof(f2819,plain,
( ! [X0] :
( m2_relset_1(sK49(sK40,X0),u1_struct_0(X0),sF66)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_84 ),
inference(forward_literal_rewriting,[],[f2818,f804]) ).
fof(f2818,plain,
( ! [X0] :
( m1_relset_1(sK49(sK40,X0),u1_struct_0(X0),sF66)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_84 ),
inference(forward_demodulation,[],[f2814,f846]) ).
fof(f2814,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK49(sK40,X0),u1_struct_0(X0),u1_struct_0(sK40)) )
| ~ spl73_84 ),
inference(resolution,[],[f1457,f713]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| m1_relset_1(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f443]) ).
fof(f443,plain,
! [X0,X1] :
( ( v22_waybel_0(sK49(X0,X1),X1,X0)
& v18_waybel_0(sK49(X0,X1),X1,X0)
& v1_funct_2(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(sK49(X0,X1))
& v1_funct_1(sK49(X0,X1))
& v1_relat_1(sK49(X0,X1))
& m1_relset_1(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP27(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f441,f442]) ).
fof(f442,plain,
! [X0,X1] :
( ? [X2] :
( v22_waybel_0(X2,X1,X0)
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v22_waybel_0(sK49(X0,X1),X1,X0)
& v18_waybel_0(sK49(X0,X1),X1,X0)
& v1_funct_2(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(sK49(X0,X1))
& v1_funct_1(sK49(X0,X1))
& v1_relat_1(sK49(X0,X1))
& m1_relset_1(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f441,plain,
! [X0,X1] :
( ? [X2] :
( v22_waybel_0(X2,X1,X0)
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP27(X0,X1) ),
inference(rectify,[],[f440]) ).
fof(f440,plain,
! [X1,X0] :
( ? [X2] :
( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP27(X1,X0) ),
inference(nnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X1,X0] :
( ? [X2] :
( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP27(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1457,plain,
( ! [X0] :
( sP27(sK40,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_84 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f6032,plain,
( ~ spl73_241
| ~ spl73_566
| ~ spl73_560 ),
inference(avatar_split_clause,[],[f6025,f5958,f6029,f3034]) ).
fof(f3034,plain,
( spl73_241
<=> l1_orders_2(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_241])]) ).
fof(f6029,plain,
( spl73_566
<=> v2_lattice3(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_566])]) ).
fof(f6025,plain,
( ~ v2_lattice3(sK62)
| ~ l1_orders_2(sK62)
| ~ spl73_560 ),
inference(resolution,[],[f5960,f555]) ).
fof(f555,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc2_lattice3) ).
fof(f5960,plain,
( v3_struct_0(sK62)
| ~ spl73_560 ),
inference(avatar_component_clause,[],[f5958]) ).
fof(f6027,plain,
( ~ spl73_241
| ~ spl73_243
| ~ spl73_560 ),
inference(avatar_split_clause,[],[f6024,f5958,f3042,f3034]) ).
fof(f3042,plain,
( spl73_243
<=> v1_lattice3(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_243])]) ).
fof(f6024,plain,
( ~ v1_lattice3(sK62)
| ~ l1_orders_2(sK62)
| ~ spl73_560 ),
inference(resolution,[],[f5960,f556]) ).
fof(f556,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_lattice3) ).
fof(f6026,plain,
~ spl73_560,
inference(avatar_contradiction_clause,[],[f6023]) ).
fof(f6023,plain,
( $false
| ~ spl73_560 ),
inference(resolution,[],[f5960,f826]) ).
fof(f826,plain,
~ v3_struct_0(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f6016,plain,
( ~ spl73_563
| ~ spl73_565
| ~ spl73_558 ),
inference(avatar_split_clause,[],[f6002,f5949,f6013,f6004]) ).
fof(f6013,plain,
( spl73_565
<=> v2_lattice3(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_565])]) ).
fof(f5949,plain,
( spl73_558
<=> v3_struct_0(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_558])]) ).
fof(f6002,plain,
( ~ v2_lattice3(sK57)
| ~ l1_orders_2(sK57)
| ~ spl73_558 ),
inference(resolution,[],[f5951,f555]) ).
fof(f5951,plain,
( v3_struct_0(sK57)
| ~ spl73_558 ),
inference(avatar_component_clause,[],[f5949]) ).
fof(f6011,plain,
( ~ spl73_563
| ~ spl73_564
| ~ spl73_558 ),
inference(avatar_split_clause,[],[f6001,f5949,f6008,f6004]) ).
fof(f6008,plain,
( spl73_564
<=> v1_lattice3(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_564])]) ).
fof(f6001,plain,
( ~ v1_lattice3(sK57)
| ~ l1_orders_2(sK57)
| ~ spl73_558 ),
inference(resolution,[],[f5951,f556]) ).
fof(f6000,plain,
( spl73_562
| spl73_560
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f5988,f1413,f5958,f5997]) ).
fof(f5997,plain,
( spl73_562
<=> m1_subset_1(sK50(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_562])]) ).
fof(f1413,plain,
( spl73_78
<=> ! [X0] :
( sP28(sK39,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_78])]) ).
fof(f5988,plain,
( v3_struct_0(sK62)
| m1_subset_1(sK50(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_78 ),
inference(resolution,[],[f3798,f825]) ).
fof(f3798,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK50(sK39,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF72))) )
| ~ spl73_78 ),
inference(resolution,[],[f2220,f787]) ).
fof(f2220,plain,
( ! [X0] :
( m2_relset_1(sK50(sK39,X0),u1_struct_0(X0),sF72)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_78 ),
inference(forward_literal_rewriting,[],[f2219,f804]) ).
fof(f2219,plain,
( ! [X0] :
( m1_relset_1(sK50(sK39,X0),u1_struct_0(X0),sF72)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_78 ),
inference(forward_demodulation,[],[f2215,f854]) ).
fof(f2215,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK50(sK39,X0),u1_struct_0(X0),u1_struct_0(sK39)) )
| ~ spl73_78 ),
inference(resolution,[],[f1414,f721]) ).
fof(f1414,plain,
( ! [X0] :
( sP28(sK39,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_78 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f5995,plain,
( spl73_561
| spl73_558
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f5987,f1413,f5949,f5992]) ).
fof(f5992,plain,
( spl73_561
<=> m1_subset_1(sK50(sK39,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_561])]) ).
fof(f5987,plain,
( v3_struct_0(sK57)
| m1_subset_1(sK50(sK39,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72)))
| ~ spl73_78 ),
inference(resolution,[],[f3798,f812]) ).
fof(f5978,plain,
( ~ spl73_474
| ~ spl73_249 ),
inference(avatar_split_clause,[],[f4203,f3096,f5210]) ).
fof(f5210,plain,
( spl73_474
<=> v1_xboole_0(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_474])]) ).
fof(f3096,plain,
( spl73_249
<=> k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sF67,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_249])]) ).
fof(f4203,plain,
( ~ v1_xboole_0(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ spl73_249 ),
inference(superposition,[],[f695,f3098]) ).
fof(f3098,plain,
( k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sF67,sK52(sK40,sK39)))
| ~ spl73_249 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f5968,plain,
( ~ spl73_249
| ~ spl73_474 ),
inference(avatar_contradiction_clause,[],[f5962]) ).
fof(f5962,plain,
( $false
| ~ spl73_249
| ~ spl73_474 ),
inference(resolution,[],[f5212,f4203]) ).
fof(f5212,plain,
( v1_xboole_0(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ spl73_474 ),
inference(avatar_component_clause,[],[f5210]) ).
fof(f5961,plain,
( spl73_559
| spl73_560
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f5941,f1390,f5958,f5954]) ).
fof(f5954,plain,
( spl73_559
<=> m1_subset_1(sK49(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_559])]) ).
fof(f1390,plain,
( spl73_75
<=> ! [X0] :
( sP27(sK39,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_75])]) ).
fof(f5941,plain,
( v3_struct_0(sK62)
| m1_subset_1(sK49(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_75 ),
inference(resolution,[],[f3769,f825]) ).
fof(f3769,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK49(sK39,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF72))) )
| ~ spl73_75 ),
inference(resolution,[],[f2208,f787]) ).
fof(f2208,plain,
( ! [X0] :
( m2_relset_1(sK49(sK39,X0),u1_struct_0(X0),sF72)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_75 ),
inference(forward_literal_rewriting,[],[f2207,f804]) ).
fof(f2207,plain,
( ! [X0] :
( m1_relset_1(sK49(sK39,X0),u1_struct_0(X0),sF72)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_75 ),
inference(forward_demodulation,[],[f2203,f854]) ).
fof(f2203,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK49(sK39,X0),u1_struct_0(X0),u1_struct_0(sK39)) )
| ~ spl73_75 ),
inference(resolution,[],[f1391,f713]) ).
fof(f1391,plain,
( ! [X0] :
( sP27(sK39,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_75 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f5952,plain,
( spl73_557
| spl73_558
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f5940,f1390,f5949,f5945]) ).
fof(f5945,plain,
( spl73_557
<=> m1_subset_1(sK49(sK39,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_557])]) ).
fof(f5940,plain,
( v3_struct_0(sK57)
| m1_subset_1(sK49(sK39,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72)))
| ~ spl73_75 ),
inference(resolution,[],[f3769,f812]) ).
fof(f5925,plain,
( ~ spl73_472
| ~ spl73_248 ),
inference(avatar_split_clause,[],[f4165,f3090,f5184]) ).
fof(f5184,plain,
( spl73_472
<=> v1_xboole_0(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_472])]) ).
fof(f3090,plain,
( spl73_248
<=> k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sF67,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_248])]) ).
fof(f4165,plain,
( ~ v1_xboole_0(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ spl73_248 ),
inference(superposition,[],[f695,f3092]) ).
fof(f3092,plain,
( k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sF67,sK51(sK40,sK39)))
| ~ spl73_248 ),
inference(avatar_component_clause,[],[f3090]) ).
fof(f5915,plain,
( ~ spl73_248
| ~ spl73_472 ),
inference(avatar_contradiction_clause,[],[f5909]) ).
fof(f5909,plain,
( $false
| ~ spl73_248
| ~ spl73_472 ),
inference(resolution,[],[f5186,f4165]) ).
fof(f5186,plain,
( v1_xboole_0(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ spl73_472 ),
inference(avatar_component_clause,[],[f5184]) ).
fof(f5908,plain,
( ~ spl73_161
| ~ spl73_258
| spl73_556
| ~ spl73_462
| ~ spl73_259
| ~ spl73_112
| ~ spl73_386 ),
inference(avatar_split_clause,[],[f5904,f4391,f1636,f3198,f4984,f5906,f3194,f2285]) ).
fof(f3194,plain,
( spl73_258
<=> v1_funct_1(k1_waybel34(sK40,sK39,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_258])]) ).
fof(f5906,plain,
( spl73_556
<=> ! [X0] : m1_subset_1(k10_relat_1(k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_556])]) ).
fof(f4984,plain,
( spl73_462
<=> v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_462])]) ).
fof(f3198,plain,
( spl73_259
<=> m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_259])]) ).
fof(f4391,plain,
( spl73_386
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_386])]) ).
fof(f5904,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| m1_subset_1(k10_relat_1(k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_386 ),
inference(forward_demodulation,[],[f5903,f854]) ).
fof(f5903,plain,
( ! [X0] :
( ~ v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| m1_subset_1(k10_relat_1(k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_386 ),
inference(forward_demodulation,[],[f5902,f854]) ).
fof(f5902,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_386 ),
inference(superposition,[],[f4392,f1688]) ).
fof(f4392,plain,
( ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72))
| ~ spl73_386 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f5874,plain,
( ~ spl73_112
| ~ spl73_230
| spl73_555
| ~ spl73_199
| ~ spl73_197
| ~ spl73_112
| ~ spl73_391 ),
inference(avatar_split_clause,[],[f5870,f4414,f1636,f2554,f2568,f5872,f2798,f1636]) ).
fof(f2798,plain,
( spl73_230
<=> v1_funct_1(sK52(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_230])]) ).
fof(f5872,plain,
( spl73_555
<=> ! [X0] : m1_subset_1(k10_relat_1(sK52(sK40,sK40),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_555])]) ).
fof(f2568,plain,
( spl73_199
<=> v1_funct_2(sK52(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_199])]) ).
fof(f2554,plain,
( spl73_197
<=> m2_relset_1(sK52(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_197])]) ).
fof(f4414,plain,
( spl73_391
<=> ! [X1] : m1_subset_1(k5_pre_topc(sK40,sK40,sK52(sK40,sK40),X1),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_391])]) ).
fof(f5870,plain,
( ! [X0] :
( ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66)
| ~ v1_funct_2(sK52(sK40,sK40),sF66,sF66)
| m1_subset_1(k10_relat_1(sK52(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_391 ),
inference(forward_demodulation,[],[f5869,f846]) ).
fof(f5869,plain,
( ! [X0] :
( ~ v1_funct_2(sK52(sK40,sK40),sF66,sF66)
| m1_subset_1(k10_relat_1(sK52(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ m2_relset_1(sK52(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_391 ),
inference(forward_demodulation,[],[f5868,f846]) ).
fof(f5868,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(sK52(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_2(sK52(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ m2_relset_1(sK52(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_391 ),
inference(superposition,[],[f4415,f1688]) ).
fof(f4415,plain,
( ! [X1] : m1_subset_1(k5_pre_topc(sK40,sK40,sK52(sK40,sK40),X1),k1_zfmisc_1(sF66))
| ~ spl73_391 ),
inference(avatar_component_clause,[],[f4414]) ).
fof(f5858,plain,
( ~ spl73_112
| ~ spl73_191
| spl73_554
| ~ spl73_160
| ~ spl73_158
| ~ spl73_112
| ~ spl73_390 ),
inference(avatar_split_clause,[],[f5854,f4410,f1636,f2260,f2274,f5856,f2499,f1636]) ).
fof(f2499,plain,
( spl73_191
<=> v1_funct_1(sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_191])]) ).
fof(f5856,plain,
( spl73_554
<=> ! [X0] : m1_subset_1(k10_relat_1(sK51(sK40,sK40),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_554])]) ).
fof(f2274,plain,
( spl73_160
<=> v1_funct_2(sK51(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_160])]) ).
fof(f2260,plain,
( spl73_158
<=> m2_relset_1(sK51(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_158])]) ).
fof(f4410,plain,
( spl73_390
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,sK51(sK40,sK40),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_390])]) ).
fof(f5854,plain,
( ! [X0] :
( ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| m1_subset_1(k10_relat_1(sK51(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_390 ),
inference(forward_demodulation,[],[f5853,f846]) ).
fof(f5853,plain,
( ! [X0] :
( ~ v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| m1_subset_1(k10_relat_1(sK51(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_390 ),
inference(forward_demodulation,[],[f5852,f846]) ).
fof(f5852,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(sK51(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_2(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_390 ),
inference(superposition,[],[f4411,f1688]) ).
fof(f4411,plain,
( ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,sK51(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ spl73_390 ),
inference(avatar_component_clause,[],[f4410]) ).
fof(f5842,plain,
( ~ spl73_161
| ~ spl73_226
| spl73_553
| ~ spl73_198
| ~ spl73_196
| ~ spl73_112
| ~ spl73_389 ),
inference(avatar_split_clause,[],[f5838,f4403,f1636,f2549,f2563,f5840,f2780,f2285]) ).
fof(f2780,plain,
( spl73_226
<=> v1_funct_1(sK52(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_226])]) ).
fof(f5840,plain,
( spl73_553
<=> ! [X0] : m1_subset_1(k10_relat_1(sK52(sK40,sK39),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_553])]) ).
fof(f2563,plain,
( spl73_198
<=> v1_funct_2(sK52(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_198])]) ).
fof(f2549,plain,
( spl73_196
<=> m2_relset_1(sK52(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_196])]) ).
fof(f4403,plain,
( spl73_389
<=> ! [X3] : m1_subset_1(k5_pre_topc(sK39,sK40,sK52(sK40,sK39),X3),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_389])]) ).
fof(f5838,plain,
( ! [X0] :
( ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| ~ v1_funct_2(sK52(sK40,sK39),sF72,sF66)
| m1_subset_1(k10_relat_1(sK52(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_389 ),
inference(forward_demodulation,[],[f5837,f854]) ).
fof(f5837,plain,
( ! [X0] :
( ~ v1_funct_2(sK52(sK40,sK39),sF72,sF66)
| m1_subset_1(k10_relat_1(sK52(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ m2_relset_1(sK52(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_389 ),
inference(forward_demodulation,[],[f5836,f854]) ).
fof(f5836,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(sK52(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_2(sK52(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ m2_relset_1(sK52(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_389 ),
inference(superposition,[],[f4404,f1688]) ).
fof(f4404,plain,
( ! [X3] : m1_subset_1(k5_pre_topc(sK39,sK40,sK52(sK40,sK39),X3),k1_zfmisc_1(sF72))
| ~ spl73_389 ),
inference(avatar_component_clause,[],[f4403]) ).
fof(f5826,plain,
( ~ spl73_161
| ~ spl73_185
| spl73_552
| ~ spl73_159
| ~ spl73_157
| ~ spl73_112
| ~ spl73_388 ),
inference(avatar_split_clause,[],[f5822,f4399,f1636,f2255,f2269,f5824,f2438,f2285]) ).
fof(f2438,plain,
( spl73_185
<=> v1_funct_1(sK51(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_185])]) ).
fof(f5824,plain,
( spl73_552
<=> ! [X0] : m1_subset_1(k10_relat_1(sK51(sK40,sK39),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_552])]) ).
fof(f2269,plain,
( spl73_159
<=> v1_funct_2(sK51(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_159])]) ).
fof(f2255,plain,
( spl73_157
<=> m2_relset_1(sK51(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_157])]) ).
fof(f4399,plain,
( spl73_388
<=> ! [X2] : m1_subset_1(k5_pre_topc(sK39,sK40,sK51(sK40,sK39),X2),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_388])]) ).
fof(f5822,plain,
( ! [X0] :
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| ~ v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| m1_subset_1(k10_relat_1(sK51(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_388 ),
inference(forward_demodulation,[],[f5821,f854]) ).
fof(f5821,plain,
( ! [X0] :
( ~ v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| m1_subset_1(k10_relat_1(sK51(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ m2_relset_1(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_388 ),
inference(forward_demodulation,[],[f5820,f854]) ).
fof(f5820,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(sK51(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_2(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ m2_relset_1(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_388 ),
inference(superposition,[],[f4400,f1688]) ).
fof(f4400,plain,
( ! [X2] : m1_subset_1(k5_pre_topc(sK39,sK40,sK51(sK40,sK39),X2),k1_zfmisc_1(sF72))
| ~ spl73_388 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f5810,plain,
( spl73_32
| ~ spl73_112
| spl73_551
| ~ spl73_116 ),
inference(avatar_split_clause,[],[f5806,f1668,f5808,f1636,f1088]) ).
fof(f1088,plain,
( spl73_32
<=> v3_struct_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_32])]) ).
fof(f5808,plain,
( spl73_551
<=> ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK40,X0),sF66)
| m1_subset_1(k5_waybel_0(sK40,k1_tarski(k2_yellow_0(sK40,X0))),k1_zfmisc_1(sF66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_551])]) ).
fof(f1668,plain,
( spl73_116
<=> ! [X0] :
( m1_subset_1(k1_struct_0(sK40,X0),k1_zfmisc_1(sF66))
| ~ m1_subset_1(X0,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_116])]) ).
fof(f5806,plain,
( ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK40,X0),sF66)
| m1_subset_1(k5_waybel_0(sK40,k1_tarski(k2_yellow_0(sK40,X0))),k1_zfmisc_1(sF66))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116 ),
inference(forward_demodulation,[],[f5804,f846]) ).
fof(f5804,plain,
( ! [X0] :
( m1_subset_1(k5_waybel_0(sK40,k1_tarski(k2_yellow_0(sK40,X0))),k1_zfmisc_1(sF66))
| ~ m1_subset_1(k2_yellow_0(sK40,X0),u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116 ),
inference(superposition,[],[f3483,f703]) ).
fof(f703,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',redefinition_k1_struct_0) ).
fof(f3483,plain,
( ! [X0] : m1_subset_1(k5_waybel_0(sK40,k1_struct_0(sK40,k2_yellow_0(sK40,X0))),k1_zfmisc_1(sF66))
| ~ spl73_116 ),
inference(resolution,[],[f2857,f1212]) ).
fof(f1212,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(sF66))
| m1_subset_1(k5_waybel_0(sK40,X22),k1_zfmisc_1(sF66)) ),
inference(forward_demodulation,[],[f1211,f846]) ).
fof(f1211,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(sF66))
| m1_subset_1(k5_waybel_0(sK40,X22),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(forward_demodulation,[],[f1075,f846]) ).
fof(f1075,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(sK40)))
| m1_subset_1(k5_waybel_0(sK40,X22),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(resolution,[],[f510,f768]) ).
fof(f768,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k5_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1] :
( m1_subset_1(k5_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( m1_subset_1(k5_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_orders_2(X0) )
=> m1_subset_1(k5_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k5_waybel_0) ).
fof(f510,plain,
l1_orders_2(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f2857,plain,
( ! [X0] : m1_subset_1(k1_struct_0(sK40,k2_yellow_0(sK40,X0)),k1_zfmisc_1(sF66))
| ~ spl73_116 ),
inference(resolution,[],[f1669,f1157]) ).
fof(f1157,plain,
! [X8] : m1_subset_1(k2_yellow_0(sK40,X8),sF66),
inference(forward_demodulation,[],[f1065,f846]) ).
fof(f1065,plain,
! [X8] : m1_subset_1(k2_yellow_0(sK40,X8),u1_struct_0(sK40)),
inference(resolution,[],[f510,f697]) ).
fof(f697,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k2_yellow_0) ).
fof(f1669,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF66)
| m1_subset_1(k1_struct_0(sK40,X0),k1_zfmisc_1(sF66)) )
| ~ spl73_116 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f5756,plain,
( ~ spl73_231
| spl73_544 ),
inference(avatar_contradiction_clause,[],[f5749]) ).
fof(f5749,plain,
( $false
| ~ spl73_231
| spl73_544 ),
inference(resolution,[],[f5721,f3020]) ).
fof(f3020,plain,
( v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ spl73_231 ),
inference(resolution,[],[f2805,f789]) ).
fof(f789,plain,
! [X2,X0,X1] :
( ~ sP37(X0,X1,X2)
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f474]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ sP37(X0,X1,X2) ),
inference(nnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ sP37(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f2805,plain,
( sP37(sK40,sK40,sK52(sK40,sK40))
| ~ spl73_231 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f2803,plain,
( spl73_231
<=> sP37(sK40,sK40,sK52(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_231])]) ).
fof(f5721,plain,
( ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| spl73_544 ),
inference(avatar_component_clause,[],[f5719]) ).
fof(f5719,plain,
( spl73_544
<=> v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_544])]) ).
fof(f5748,plain,
( spl73_550
| ~ spl73_544
| ~ spl73_545
| ~ spl73_127
| ~ spl73_231 ),
inference(avatar_split_clause,[],[f5717,f2803,f1797,f5723,f5719,f5745]) ).
fof(f5745,plain,
( spl73_550
<=> sP37(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_550])]) ).
fof(f5723,plain,
( spl73_545
<=> m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_545])]) ).
fof(f1797,plain,
( spl73_127
<=> ! [X1] :
( ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_1(X1)
| sP37(sK40,sK40,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_127])]) ).
fof(f5717,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| sP37(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ spl73_127
| ~ spl73_231 ),
inference(resolution,[],[f3023,f1798]) ).
fof(f1798,plain,
( ! [X1] :
( ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_1(X1)
| sP37(sK40,sK40,X1) )
| ~ spl73_127 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f3023,plain,
( v1_funct_2(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66)
| ~ spl73_231 ),
inference(forward_demodulation,[],[f3021,f846]) ).
fof(f3021,plain,
( v1_funct_2(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),u1_struct_0(sK40),u1_struct_0(sK40))
| ~ spl73_231 ),
inference(resolution,[],[f2805,f790]) ).
fof(f790,plain,
! [X2,X0,X1] :
( ~ sP37(X0,X1,X2)
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f474]) ).
fof(f5743,plain,
( ~ spl73_545
| spl73_549
| ~ spl73_544
| ~ spl73_131
| ~ spl73_231 ),
inference(avatar_split_clause,[],[f5716,f2803,f1874,f5719,f5741,f5723]) ).
fof(f5741,plain,
( spl73_549
<=> ! [X1] :
( ~ v1_funct_1(X1)
| k2_tarski(k1_tarski(k1_waybel34(sK40,sK40,sK52(sK40,sK40))),k2_tarski(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X1)) = k1_waybel_1(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X1)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_2(X1,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_549])]) ).
fof(f1874,plain,
( spl73_131
<=> ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,sF66,sF66)
| ~ m2_relset_1(X3,sF66,sF66)
| k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)) = k1_waybel_1(sK40,sK40,X2,X3)
| ~ m2_relset_1(X2,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_131])]) ).
fof(f5716,plain,
( ! [X1] :
( ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| k2_tarski(k1_tarski(k1_waybel34(sK40,sK40,sK52(sK40,sK40))),k2_tarski(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X1)) = k1_waybel_1(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X1)
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66) )
| ~ spl73_131
| ~ spl73_231 ),
inference(resolution,[],[f3023,f1875]) ).
fof(f1875,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,sF66,sF66)
| ~ m2_relset_1(X3,sF66,sF66)
| k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)) = k1_waybel_1(sK40,sK40,X2,X3)
| ~ m2_relset_1(X2,sF66,sF66) )
| ~ spl73_131 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f5739,plain,
( ~ spl73_545
| ~ spl73_544
| spl73_548
| ~ spl73_231
| ~ spl73_256 ),
inference(avatar_split_clause,[],[f5715,f3155,f2803,f5737,f5719,f5723]) ).
fof(f5737,plain,
( spl73_548
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_548])]) ).
fof(f3155,plain,
( spl73_256
<=> ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| m1_subset_1(k5_pre_topc(sK40,sK40,X2,X3),k1_zfmisc_1(sF66))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_256])]) ).
fof(f5715,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK40,sK40,k1_waybel34(sK40,sK40,sK52(sK40,sK40)),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66) )
| ~ spl73_231
| ~ spl73_256 ),
inference(resolution,[],[f3023,f3156]) ).
fof(f3156,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| m1_subset_1(k5_pre_topc(sK40,sK40,X2,X3),k1_zfmisc_1(sF66))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,sF66) )
| ~ spl73_256 ),
inference(avatar_component_clause,[],[f3155]) ).
fof(f5735,plain,
( ~ spl73_544
| ~ spl73_545
| spl73_547
| ~ spl73_205
| ~ spl73_231 ),
inference(avatar_split_clause,[],[f5714,f2803,f2639,f5732,f5723,f5719]) ).
fof(f5732,plain,
( spl73_547
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_547])]) ).
fof(f2639,plain,
( spl73_205
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),X0)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_2(X0,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_205])]) ).
fof(f5714,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ spl73_205
| ~ spl73_231 ),
inference(resolution,[],[f3023,f2640]) ).
fof(f2640,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF66)
| k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),X0)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_1(X0) )
| ~ spl73_205 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f5730,plain,
( ~ spl73_544
| ~ spl73_545
| spl73_546
| ~ spl73_229
| ~ spl73_231 ),
inference(avatar_split_clause,[],[f5713,f2803,f2795,f5727,f5723,f5719]) ).
fof(f5727,plain,
( spl73_546
<=> k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_546])]) ).
fof(f2795,plain,
( spl73_229
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),X0)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_2(X0,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_229])]) ).
fof(f5713,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK52(sK40,sK40)))
| ~ spl73_229
| ~ spl73_231 ),
inference(resolution,[],[f3023,f2796]) ).
fof(f2796,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF66)
| k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),X0)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_1(X0) )
| ~ spl73_229 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f5712,plain,
( spl73_542
| ~ spl73_536
| ~ spl73_543
| ~ spl73_125
| ~ spl73_228 ),
inference(avatar_split_clause,[],[f5702,f2788,f1779,f5709,f5666,f5705]) ).
fof(f5705,plain,
( spl73_542
<=> sP37(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_542])]) ).
fof(f5666,plain,
( spl73_536
<=> v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_536])]) ).
fof(f5709,plain,
( spl73_543
<=> v1_funct_2(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_543])]) ).
fof(f1779,plain,
( spl73_125
<=> ! [X1] :
( ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(X1,sF66,sF72)
| ~ v1_funct_1(X1)
| sP37(sK40,sK39,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_125])]) ).
fof(f2788,plain,
( spl73_228
<=> sP37(sK39,sK40,sK52(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_228])]) ).
fof(f5702,plain,
( ~ v1_funct_2(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| sP37(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_125
| ~ spl73_228 ),
inference(resolution,[],[f3013,f1780]) ).
fof(f1780,plain,
( ! [X1] :
( ~ m2_relset_1(X1,sF66,sF72)
| ~ v1_funct_2(X1,sF66,sF72)
| ~ v1_funct_1(X1)
| sP37(sK40,sK39,X1) )
| ~ spl73_125 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f3013,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ spl73_228 ),
inference(forward_demodulation,[],[f3012,f846]) ).
fof(f3012,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),u1_struct_0(sK40),sF72)
| ~ spl73_228 ),
inference(forward_demodulation,[],[f3009,f854]) ).
fof(f3009,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_228 ),
inference(resolution,[],[f2790,f791]) ).
fof(f791,plain,
! [X2,X0,X1] :
( ~ sP37(X0,X1,X2)
| m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f474]) ).
fof(f2790,plain,
( sP37(sK39,sK40,sK52(sK40,sK39))
| ~ spl73_228 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f5701,plain,
( ~ spl73_228
| spl73_536 ),
inference(avatar_contradiction_clause,[],[f5694]) ).
fof(f5694,plain,
( $false
| ~ spl73_228
| spl73_536 ),
inference(resolution,[],[f5668,f3007]) ).
fof(f3007,plain,
( v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_228 ),
inference(resolution,[],[f2790,f789]) ).
fof(f5668,plain,
( ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| spl73_536 ),
inference(avatar_component_clause,[],[f5666]) ).
fof(f5693,plain,
( ~ spl73_537
| ~ spl73_536
| spl73_541
| ~ spl73_129
| ~ spl73_228 ),
inference(avatar_split_clause,[],[f5663,f2788,f1852,f5691,f5666,f5670]) ).
fof(f5670,plain,
( spl73_537
<=> m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_537])]) ).
fof(f5691,plain,
( spl73_541
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,k1_waybel34(sK39,sK40,sK52(sK40,sK39))) = k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK39,sK40,sK52(sK40,sK39))))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_541])]) ).
fof(f1852,plain,
( spl73_129
<=> ! [X2,X3] :
( ~ v1_funct_2(X2,sF72,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,sF66,sF72)
| ~ m2_relset_1(X3,sF66,sF72)
| k1_waybel_1(sK39,sK40,X2,X3) = k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))
| ~ m2_relset_1(X2,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_129])]) ).
fof(f5663,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,k1_waybel34(sK39,sK40,sK52(sK40,sK39))) = k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK39,sK40,sK52(sK40,sK39))))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_228 ),
inference(resolution,[],[f3011,f1853]) ).
fof(f1853,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X3,sF66,sF72)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X2,sF72,sF66)
| ~ m2_relset_1(X3,sF66,sF72)
| k1_waybel_1(sK39,sK40,X2,X3) = k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))
| ~ m2_relset_1(X2,sF72,sF66) )
| ~ spl73_129 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f3011,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ spl73_228 ),
inference(forward_demodulation,[],[f3010,f846]) ).
fof(f3010,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),u1_struct_0(sK40),sF72)
| ~ spl73_228 ),
inference(forward_demodulation,[],[f3008,f854]) ).
fof(f3008,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_228 ),
inference(resolution,[],[f2790,f790]) ).
fof(f5689,plain,
( ~ spl73_536
| ~ spl73_537
| spl73_540
| ~ spl73_203
| ~ spl73_228 ),
inference(avatar_split_clause,[],[f5684,f2788,f2621,f5686,f5670,f5666]) ).
fof(f5686,plain,
( spl73_540
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK41) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK41,k1_waybel34(sK39,sK40,sK52(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_540])]) ).
fof(f2621,plain,
( spl73_203
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK41)) = k1_waybel_1(sK40,sK39,X0,sK41)
| ~ v1_funct_2(X0,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_203])]) ).
fof(f5684,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK41) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK41,k1_waybel34(sK39,sK40,sK52(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_203
| ~ spl73_228 ),
inference(forward_demodulation,[],[f5662,f693]) ).
fof(f693,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',commutativity_k2_tarski) ).
fof(f5662,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK41)) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK41)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_203
| ~ spl73_228 ),
inference(resolution,[],[f3011,f2622]) ).
fof(f2622,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK41)) = k1_waybel_1(sK40,sK39,X0,sK41)
| ~ v1_funct_1(X0) )
| ~ spl73_203 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f5683,plain,
( ~ spl73_536
| ~ spl73_537
| spl73_539
| ~ spl73_204
| ~ spl73_228 ),
inference(avatar_split_clause,[],[f5678,f2788,f2625,f5680,f5670,f5666]) ).
fof(f5680,plain,
( spl73_539
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK51(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK51(sK40,sK39),k1_waybel34(sK39,sK40,sK52(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_539])]) ).
fof(f2625,plain,
( spl73_204
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK51(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_204])]) ).
fof(f5678,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK51(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK51(sK40,sK39),k1_waybel34(sK39,sK40,sK52(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_204
| ~ spl73_228 ),
inference(forward_demodulation,[],[f5661,f693]) ).
fof(f5661,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK51(sK40,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_204
| ~ spl73_228 ),
inference(resolution,[],[f3011,f2626]) ).
fof(f2626,plain,
( ! [X1] :
( ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK51(sK40,sK39))
| ~ v1_funct_1(X1) )
| ~ spl73_204 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f5677,plain,
( ~ spl73_536
| ~ spl73_537
| spl73_538
| ~ spl73_227
| ~ spl73_228 ),
inference(avatar_split_clause,[],[f5664,f2788,f2784,f5674,f5670,f5666]) ).
fof(f5674,plain,
( spl73_538
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK52(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK52(sK40,sK39),k1_waybel34(sK39,sK40,sK52(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_538])]) ).
fof(f2784,plain,
( spl73_227
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,X0,sK52(sK40,sK39))
| ~ v1_funct_2(X0,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_227])]) ).
fof(f5664,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK52(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(sK52(sK40,sK39),k1_waybel34(sK39,sK40,sK52(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_227
| ~ spl73_228 ),
inference(forward_demodulation,[],[f5660,f693]) ).
fof(f5660,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK52(sK40,sK39)),sK52(sK40,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK52(sK40,sK39)))
| ~ spl73_227
| ~ spl73_228 ),
inference(resolution,[],[f3011,f2785]) ).
fof(f2785,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,X0,sK52(sK40,sK39))
| ~ v1_funct_1(X0) )
| ~ spl73_227 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f5659,plain,
( ~ spl73_533
| ~ spl73_192
| ~ spl73_194
| spl73_534
| ~ spl73_527
| ~ spl73_223
| ~ spl73_535
| ~ spl73_224
| ~ spl73_265 ),
inference(avatar_split_clause,[],[f5645,f3273,f2755,f5656,f2750,f5611,f5652,f2536,f2520,f5648]) ).
fof(f5648,plain,
( spl73_533
<=> v1_funct_2(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_533])]) ).
fof(f2520,plain,
( spl73_192
<=> m2_relset_1(sK52(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_192])]) ).
fof(f2536,plain,
( spl73_194
<=> v1_funct_2(sK52(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_194])]) ).
fof(f5652,plain,
( spl73_534
<=> sP23(sK39,sK52(sK39,sK39),sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_534])]) ).
fof(f5611,plain,
( spl73_527
<=> v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_527])]) ).
fof(f2750,plain,
( spl73_223
<=> v1_funct_1(sK52(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_223])]) ).
fof(f5656,plain,
( spl73_535
<=> v17_waybel_0(sK52(sK39,sK39),sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_535])]) ).
fof(f2755,plain,
( spl73_224
<=> sP37(sK39,sK39,sK52(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_224])]) ).
fof(f3273,plain,
( spl73_265
<=> ! [X0] :
( ~ m2_relset_1(X0,sF72,sF72)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_265])]) ).
fof(f5645,plain,
( ~ v17_waybel_0(sK52(sK39,sK39),sK39,sK39)
| ~ v1_funct_1(sK52(sK39,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| sP23(sK39,sK52(sK39,sK39),sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ v1_funct_2(sK52(sK39,sK39),sF72,sF72)
| ~ m2_relset_1(sK52(sK39,sK39),sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ spl73_224
| ~ spl73_265 ),
inference(resolution,[],[f3002,f3274]) ).
fof(f3274,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72) )
| ~ spl73_265 ),
inference(avatar_component_clause,[],[f3273]) ).
fof(f3002,plain,
( m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ spl73_224 ),
inference(forward_demodulation,[],[f3000,f854]) ).
fof(f3000,plain,
( m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ spl73_224 ),
inference(resolution,[],[f2757,f791]) ).
fof(f2757,plain,
( sP37(sK39,sK39,sK52(sK39,sK39))
| ~ spl73_224 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f5644,plain,
( ~ spl73_224
| spl73_527 ),
inference(avatar_contradiction_clause,[],[f5637]) ).
fof(f5637,plain,
( $false
| ~ spl73_224
| spl73_527 ),
inference(resolution,[],[f5613,f2998]) ).
fof(f2998,plain,
( v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ spl73_224 ),
inference(resolution,[],[f2757,f789]) ).
fof(f5613,plain,
( ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| spl73_527 ),
inference(avatar_component_clause,[],[f5611]) ).
fof(f5636,plain,
( spl73_532
| ~ spl73_527
| ~ spl73_528
| ~ spl73_124
| ~ spl73_224 ),
inference(avatar_split_clause,[],[f5609,f2755,f1775,f5615,f5611,f5633]) ).
fof(f5633,plain,
( spl73_532
<=> sP37(sK39,sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_532])]) ).
fof(f5615,plain,
( spl73_528
<=> m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_528])]) ).
fof(f1775,plain,
( spl73_124
<=> ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| sP37(sK39,sK39,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_124])]) ).
fof(f5609,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| sP37(sK39,sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ spl73_124
| ~ spl73_224 ),
inference(resolution,[],[f3001,f1776]) ).
fof(f1776,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| sP37(sK39,sK39,X0) )
| ~ spl73_124 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f3001,plain,
( v1_funct_2(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ spl73_224 ),
inference(forward_demodulation,[],[f2999,f854]) ).
fof(f2999,plain,
( v1_funct_2(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ spl73_224 ),
inference(resolution,[],[f2757,f790]) ).
fof(f5631,plain,
( ~ spl73_528
| spl73_531
| ~ spl73_527
| ~ spl73_128
| ~ spl73_224 ),
inference(avatar_split_clause,[],[f5608,f2755,f1848,f5611,f5629,f5615]) ).
fof(f5629,plain,
( spl73_531
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK39,sK52(sK39,sK39))),k2_tarski(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),X0)) = k1_waybel_1(sK39,sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39)),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_531])]) ).
fof(f1848,plain,
( spl73_128
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ m2_relset_1(X1,sF72,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK39,sK39,X0,X1)
| ~ m2_relset_1(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_128])]) ).
fof(f5608,plain,
( ! [X0] :
( ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK39,sK52(sK39,sK39))),k2_tarski(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),X0)) = k1_waybel_1(sK39,sK39,k1_waybel34(sK39,sK39,sK52(sK39,sK39)),X0)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72) )
| ~ spl73_128
| ~ spl73_224 ),
inference(resolution,[],[f3001,f1849]) ).
fof(f1849,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ m2_relset_1(X1,sF72,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK39,sK39,X0,X1)
| ~ m2_relset_1(X0,sF72,sF72) )
| ~ spl73_128 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f5627,plain,
( ~ spl73_527
| ~ spl73_528
| spl73_530
| ~ spl73_200
| ~ spl73_224 ),
inference(avatar_split_clause,[],[f5607,f2755,f2596,f5624,f5615,f5611]) ).
fof(f5624,plain,
( spl73_530
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_530])]) ).
fof(f2596,plain,
( spl73_200
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_200])]) ).
fof(f5607,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ spl73_200
| ~ spl73_224 ),
inference(resolution,[],[f3001,f2597]) ).
fof(f2597,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0) )
| ~ spl73_200 ),
inference(avatar_component_clause,[],[f2596]) ).
fof(f5622,plain,
( ~ spl73_527
| ~ spl73_528
| spl73_529
| ~ spl73_222
| ~ spl73_224 ),
inference(avatar_split_clause,[],[f5606,f2755,f2747,f5619,f5615,f5611]) ).
fof(f5619,plain,
( spl73_529
<=> k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_529])]) ).
fof(f2747,plain,
( spl73_222
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_222])]) ).
fof(f5606,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK52(sK39,sK39)))
| ~ spl73_222
| ~ spl73_224 ),
inference(resolution,[],[f3001,f2748]) ).
fof(f2748,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0) )
| ~ spl73_222 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f5605,plain,
( ~ spl73_524
| ~ spl73_193
| ~ spl73_195
| spl73_525
| ~ spl73_516
| ~ spl73_221
| ~ spl73_526
| ~ spl73_220
| ~ spl73_266 ),
inference(avatar_split_clause,[],[f5591,f3288,f2729,f5602,f2733,f5546,f5598,f2541,f2525,f5594]) ).
fof(f5594,plain,
( spl73_524
<=> v1_funct_2(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_524])]) ).
fof(f2525,plain,
( spl73_193
<=> m2_relset_1(sK52(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_193])]) ).
fof(f2541,plain,
( spl73_195
<=> v1_funct_2(sK52(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_195])]) ).
fof(f5598,plain,
( spl73_525
<=> sP23(sK39,sK52(sK39,sK40),sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_525])]) ).
fof(f5546,plain,
( spl73_516
<=> v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_516])]) ).
fof(f2733,plain,
( spl73_221
<=> v1_funct_1(sK52(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_221])]) ).
fof(f5602,plain,
( spl73_526
<=> v17_waybel_0(sK52(sK39,sK40),sK40,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_526])]) ).
fof(f2729,plain,
( spl73_220
<=> sP37(sK40,sK39,sK52(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_220])]) ).
fof(f3288,plain,
( spl73_266
<=> ! [X0] :
( ~ m2_relset_1(X0,sF66,sF72)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_266])]) ).
fof(f5591,plain,
( ~ v17_waybel_0(sK52(sK39,sK40),sK40,sK39)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| sP23(sK39,sK52(sK39,sK40),sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ v1_funct_2(sK52(sK39,sK40),sF66,sF72)
| ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ spl73_220
| ~ spl73_266 ),
inference(resolution,[],[f2995,f3289]) ).
fof(f3289,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66) )
| ~ spl73_266 ),
inference(avatar_component_clause,[],[f3288]) ).
fof(f2995,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ spl73_220 ),
inference(forward_demodulation,[],[f2994,f854]) ).
fof(f2994,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),u1_struct_0(sK39),sF66)
| ~ spl73_220 ),
inference(forward_demodulation,[],[f2991,f846]) ).
fof(f2991,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_220 ),
inference(resolution,[],[f2731,f791]) ).
fof(f2731,plain,
( sP37(sK40,sK39,sK52(sK39,sK40))
| ~ spl73_220 ),
inference(avatar_component_clause,[],[f2729]) ).
fof(f5590,plain,
( ~ spl73_220
| spl73_516 ),
inference(avatar_contradiction_clause,[],[f5583]) ).
fof(f5583,plain,
( $false
| ~ spl73_220
| spl73_516 ),
inference(resolution,[],[f5548,f2989]) ).
fof(f2989,plain,
( v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_220 ),
inference(resolution,[],[f2731,f789]) ).
fof(f5548,plain,
( ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| spl73_516 ),
inference(avatar_component_clause,[],[f5546]) ).
fof(f5582,plain,
( spl73_523
| ~ spl73_516
| ~ spl73_517
| ~ spl73_126
| ~ spl73_220 ),
inference(avatar_split_clause,[],[f5543,f2729,f1793,f5550,f5546,f5579]) ).
fof(f5579,plain,
( spl73_523
<=> sP37(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_523])]) ).
fof(f5550,plain,
( spl73_517
<=> m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_517])]) ).
fof(f1793,plain,
( spl73_126
<=> ! [X0] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(X0,sF72,sF66)
| ~ v1_funct_1(X0)
| sP37(sK39,sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_126])]) ).
fof(f5543,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| sP37(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_126
| ~ spl73_220 ),
inference(resolution,[],[f2993,f1794]) ).
fof(f1794,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(X0,sF72,sF66)
| ~ v1_funct_1(X0)
| sP37(sK39,sK40,X0) )
| ~ spl73_126 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f2993,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ spl73_220 ),
inference(forward_demodulation,[],[f2992,f854]) ).
fof(f2992,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),u1_struct_0(sK39),sF66)
| ~ spl73_220 ),
inference(forward_demodulation,[],[f2990,f846]) ).
fof(f2990,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_220 ),
inference(resolution,[],[f2731,f790]) ).
fof(f5577,plain,
( ~ spl73_517
| ~ spl73_516
| spl73_522
| ~ spl73_130
| ~ spl73_220 ),
inference(avatar_split_clause,[],[f5542,f2729,f1870,f5575,f5546,f5550]) ).
fof(f5575,plain,
( spl73_522
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))) = k1_waybel_1(sK40,sK39,X1,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ v1_funct_2(X1,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_522])]) ).
fof(f1870,plain,
( spl73_130
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ m2_relset_1(X1,sF72,sF66)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK40,sK39,X0,X1)
| ~ m2_relset_1(X0,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_130])]) ).
fof(f5542,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))) = k1_waybel_1(sK40,sK39,X1,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_130
| ~ spl73_220 ),
inference(resolution,[],[f2993,f1871]) ).
fof(f1871,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,sF72,sF66)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X1,sF72,sF66)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK40,sK39,X0,X1)
| ~ m2_relset_1(X0,sF66,sF72) )
| ~ spl73_130 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f5573,plain,
( ~ spl73_516
| ~ spl73_517
| spl73_521
| ~ spl73_202
| ~ spl73_220 ),
inference(avatar_split_clause,[],[f5568,f2729,f2611,f5570,f5550,f5546]) ).
fof(f5570,plain,
( spl73_521
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sF67,k1_waybel34(sK40,sK39,sK52(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_521])]) ).
fof(f2611,plain,
( spl73_202
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF72,sF66)
| k1_waybel_1(sK39,sK40,X1,sF67) = k2_tarski(k1_tarski(X1),k2_tarski(X1,sF67))
| ~ v1_funct_2(X1,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_202])]) ).
fof(f5568,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sF67,k1_waybel34(sK40,sK39,sK52(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_202
| ~ spl73_220 ),
inference(forward_demodulation,[],[f5541,f693]) ).
fof(f5541,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF67))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_202
| ~ spl73_220 ),
inference(resolution,[],[f2993,f2612]) ).
fof(f2612,plain,
( ! [X1] :
( ~ v1_funct_2(X1,sF72,sF66)
| ~ m2_relset_1(X1,sF72,sF66)
| k1_waybel_1(sK39,sK40,X1,sF67) = k2_tarski(k1_tarski(X1),k2_tarski(X1,sF67))
| ~ v1_funct_1(X1) )
| ~ spl73_202 ),
inference(avatar_component_clause,[],[f2611]) ).
fof(f5567,plain,
( ~ spl73_517
| ~ spl73_516
| spl73_520
| ~ spl73_220
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f5540,f3151,f2729,f5565,f5546,f5550]) ).
fof(f5565,plain,
( spl73_520
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_520])]) ).
fof(f3151,plain,
( spl73_255
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF66)
| m1_subset_1(k5_pre_topc(sK39,sK40,X0,X1),k1_zfmisc_1(sF72))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_255])]) ).
fof(f5540,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66) )
| ~ spl73_220
| ~ spl73_255 ),
inference(resolution,[],[f2993,f3152]) ).
fof(f3152,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF66)
| m1_subset_1(k5_pre_topc(sK39,sK40,X0,X1),k1_zfmisc_1(sF72))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_255 ),
inference(avatar_component_clause,[],[f3151]) ).
fof(f5563,plain,
( ~ spl73_516
| ~ spl73_517
| spl73_519
| ~ spl73_201
| ~ spl73_220 ),
inference(avatar_split_clause,[],[f5558,f2729,f2607,f5560,f5550,f5546]) ).
fof(f5560,plain,
( spl73_519
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sK52(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_519])]) ).
fof(f2607,plain,
( spl73_201
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK51(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK51(sK39,sK40)))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_201])]) ).
fof(f5558,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sK52(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_201
| ~ spl73_220 ),
inference(forward_demodulation,[],[f5539,f693]) ).
fof(f5539,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK51(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_201
| ~ spl73_220 ),
inference(resolution,[],[f2993,f2608]) ).
fof(f2608,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK51(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK51(sK39,sK40)))
| ~ v1_funct_1(X0) )
| ~ spl73_201 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f5557,plain,
( ~ spl73_516
| ~ spl73_517
| spl73_518
| ~ spl73_220
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f5544,f2763,f2729,f5554,f5550,f5546]) ).
fof(f5554,plain,
( spl73_518
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sK52(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_518])]) ).
fof(f2763,plain,
( spl73_225
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK52(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK39,sK40)))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_225])]) ).
fof(f5544,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sK52(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_220
| ~ spl73_225 ),
inference(forward_demodulation,[],[f5538,f693]) ).
fof(f5538,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK52(sK39,sK40)),sK52(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK52(sK39,sK40)))
| ~ spl73_220
| ~ spl73_225 ),
inference(resolution,[],[f2993,f2764]) ).
fof(f2764,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK52(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK39,sK40)))
| ~ v1_funct_1(X0) )
| ~ spl73_225 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f5536,plain,
( ~ spl73_190
| spl73_509 ),
inference(avatar_contradiction_clause,[],[f5529]) ).
fof(f5529,plain,
( $false
| ~ spl73_190
| spl73_509 ),
inference(resolution,[],[f5501,f2978]) ).
fof(f2978,plain,
( v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ spl73_190 ),
inference(resolution,[],[f2497,f789]) ).
fof(f2497,plain,
( sP37(sK40,sK40,sK51(sK40,sK40))
| ~ spl73_190 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2495,plain,
( spl73_190
<=> sP37(sK40,sK40,sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_190])]) ).
fof(f5501,plain,
( ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| spl73_509 ),
inference(avatar_component_clause,[],[f5499]) ).
fof(f5499,plain,
( spl73_509
<=> v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_509])]) ).
fof(f5528,plain,
( spl73_515
| ~ spl73_509
| ~ spl73_510
| ~ spl73_127
| ~ spl73_190 ),
inference(avatar_split_clause,[],[f5497,f2495,f1797,f5503,f5499,f5525]) ).
fof(f5525,plain,
( spl73_515
<=> sP37(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_515])]) ).
fof(f5503,plain,
( spl73_510
<=> m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_510])]) ).
fof(f5497,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| sP37(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ spl73_127
| ~ spl73_190 ),
inference(resolution,[],[f2981,f1798]) ).
fof(f2981,plain,
( v1_funct_2(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66)
| ~ spl73_190 ),
inference(forward_demodulation,[],[f2979,f846]) ).
fof(f2979,plain,
( v1_funct_2(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),u1_struct_0(sK40),u1_struct_0(sK40))
| ~ spl73_190 ),
inference(resolution,[],[f2497,f790]) ).
fof(f5523,plain,
( ~ spl73_510
| spl73_514
| ~ spl73_509
| ~ spl73_131
| ~ spl73_190 ),
inference(avatar_split_clause,[],[f5496,f2495,f1874,f5499,f5521,f5503]) ).
fof(f5521,plain,
( spl73_514
<=> ! [X1] :
( ~ v1_funct_1(X1)
| k2_tarski(k1_tarski(k1_waybel34(sK40,sK40,sK51(sK40,sK40))),k2_tarski(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X1)) = k1_waybel_1(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X1)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_2(X1,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_514])]) ).
fof(f5496,plain,
( ! [X1] :
( ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| k2_tarski(k1_tarski(k1_waybel34(sK40,sK40,sK51(sK40,sK40))),k2_tarski(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X1)) = k1_waybel_1(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X1)
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66) )
| ~ spl73_131
| ~ spl73_190 ),
inference(resolution,[],[f2981,f1875]) ).
fof(f5519,plain,
( ~ spl73_510
| ~ spl73_509
| spl73_513
| ~ spl73_190
| ~ spl73_256 ),
inference(avatar_split_clause,[],[f5495,f3155,f2495,f5517,f5499,f5503]) ).
fof(f5517,plain,
( spl73_513
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_513])]) ).
fof(f5495,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK40,sK40,k1_waybel34(sK40,sK40,sK51(sK40,sK40)),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66) )
| ~ spl73_190
| ~ spl73_256 ),
inference(resolution,[],[f2981,f3156]) ).
fof(f5515,plain,
( ~ spl73_509
| ~ spl73_510
| spl73_512
| ~ spl73_190
| ~ spl73_205 ),
inference(avatar_split_clause,[],[f5494,f2639,f2495,f5512,f5503,f5499]) ).
fof(f5512,plain,
( spl73_512
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_512])]) ).
fof(f5494,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ spl73_190
| ~ spl73_205 ),
inference(resolution,[],[f2981,f2640]) ).
fof(f5510,plain,
( ~ spl73_509
| ~ spl73_510
| spl73_511
| ~ spl73_190
| ~ spl73_229 ),
inference(avatar_split_clause,[],[f5493,f2795,f2495,f5507,f5503,f5499]) ).
fof(f5507,plain,
( spl73_511
<=> k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_511])]) ).
fof(f5493,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)),sF66,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK40,sK51(sK40,sK40)))
| ~ spl73_190
| ~ spl73_229 ),
inference(resolution,[],[f2981,f2796]) ).
fof(f5492,plain,
( spl73_507
| ~ spl73_501
| ~ spl73_508
| ~ spl73_125
| ~ spl73_184 ),
inference(avatar_split_clause,[],[f5482,f2434,f1779,f5489,f5446,f5485]) ).
fof(f5485,plain,
( spl73_507
<=> sP37(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_507])]) ).
fof(f5446,plain,
( spl73_501
<=> v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_501])]) ).
fof(f5489,plain,
( spl73_508
<=> v1_funct_2(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_508])]) ).
fof(f2434,plain,
( spl73_184
<=> sP37(sK39,sK40,sK51(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_184])]) ).
fof(f5482,plain,
( ~ v1_funct_2(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| sP37(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_125
| ~ spl73_184 ),
inference(resolution,[],[f2971,f1780]) ).
fof(f2971,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ spl73_184 ),
inference(forward_demodulation,[],[f2970,f846]) ).
fof(f2970,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),u1_struct_0(sK40),sF72)
| ~ spl73_184 ),
inference(forward_demodulation,[],[f2967,f854]) ).
fof(f2967,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_184 ),
inference(resolution,[],[f2436,f791]) ).
fof(f2436,plain,
( sP37(sK39,sK40,sK51(sK40,sK39))
| ~ spl73_184 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f5481,plain,
( ~ spl73_184
| spl73_501 ),
inference(avatar_contradiction_clause,[],[f5474]) ).
fof(f5474,plain,
( $false
| ~ spl73_184
| spl73_501 ),
inference(resolution,[],[f5448,f2965]) ).
fof(f2965,plain,
( v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184 ),
inference(resolution,[],[f2436,f789]) ).
fof(f5448,plain,
( ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| spl73_501 ),
inference(avatar_component_clause,[],[f5446]) ).
fof(f5473,plain,
( ~ spl73_502
| ~ spl73_501
| spl73_506
| ~ spl73_129
| ~ spl73_184 ),
inference(avatar_split_clause,[],[f5443,f2434,f1852,f5471,f5446,f5450]) ).
fof(f5450,plain,
( spl73_502
<=> m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_502])]) ).
fof(f5471,plain,
( spl73_506
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,k1_waybel34(sK39,sK40,sK51(sK40,sK39))) = k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK39,sK40,sK51(sK40,sK39))))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_506])]) ).
fof(f5443,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,k1_waybel34(sK39,sK40,sK51(sK40,sK39))) = k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK39,sK40,sK51(sK40,sK39))))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_184 ),
inference(resolution,[],[f2969,f1853]) ).
fof(f2969,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ spl73_184 ),
inference(forward_demodulation,[],[f2968,f846]) ).
fof(f2968,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),u1_struct_0(sK40),sF72)
| ~ spl73_184 ),
inference(forward_demodulation,[],[f2966,f854]) ).
fof(f2966,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_184 ),
inference(resolution,[],[f2436,f790]) ).
fof(f5469,plain,
( ~ spl73_501
| ~ spl73_502
| spl73_505
| ~ spl73_184
| ~ spl73_203 ),
inference(avatar_split_clause,[],[f5464,f2621,f2434,f5466,f5450,f5446]) ).
fof(f5466,plain,
( spl73_505
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK41) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK41,k1_waybel34(sK39,sK40,sK51(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_505])]) ).
fof(f5464,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK41) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK41,k1_waybel34(sK39,sK40,sK51(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_203 ),
inference(forward_demodulation,[],[f5442,f693]) ).
fof(f5442,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK41)) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK41)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_203 ),
inference(resolution,[],[f2969,f2622]) ).
fof(f5463,plain,
( ~ spl73_501
| ~ spl73_502
| spl73_504
| ~ spl73_184
| ~ spl73_204 ),
inference(avatar_split_clause,[],[f5458,f2625,f2434,f5460,f5450,f5446]) ).
fof(f5460,plain,
( spl73_504
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK51(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK51(sK40,sK39),k1_waybel34(sK39,sK40,sK51(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_504])]) ).
fof(f5458,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK51(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK51(sK40,sK39),k1_waybel34(sK39,sK40,sK51(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_204 ),
inference(forward_demodulation,[],[f5441,f693]) ).
fof(f5441,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK51(sK40,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_204 ),
inference(resolution,[],[f2969,f2626]) ).
fof(f5457,plain,
( ~ spl73_501
| ~ spl73_502
| spl73_503
| ~ spl73_184
| ~ spl73_227 ),
inference(avatar_split_clause,[],[f5444,f2784,f2434,f5454,f5450,f5446]) ).
fof(f5454,plain,
( spl73_503
<=> k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK52(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK52(sK40,sK39),k1_waybel34(sK39,sK40,sK51(sK40,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_503])]) ).
fof(f5444,plain,
( k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK52(sK40,sK39)) = k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(sK52(sK40,sK39),k1_waybel34(sK39,sK40,sK51(sK40,sK39))))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_227 ),
inference(forward_demodulation,[],[f5440,f693]) ).
fof(f5440,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sF66,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39))),k2_tarski(k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,k1_waybel34(sK39,sK40,sK51(sK40,sK39)),sK52(sK40,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK51(sK40,sK39)))
| ~ spl73_184
| ~ spl73_227 ),
inference(resolution,[],[f2969,f2785]) ).
fof(f5439,plain,
( ~ spl73_498
| ~ spl73_154
| ~ spl73_156
| spl73_499
| ~ spl73_487
| ~ spl73_182
| ~ spl73_500
| ~ spl73_181
| ~ spl73_266 ),
inference(avatar_split_clause,[],[f5417,f3288,f2412,f5436,f2416,f5359,f5432,f2246,f2231,f5428]) ).
fof(f5428,plain,
( spl73_498
<=> v1_funct_2(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_498])]) ).
fof(f2231,plain,
( spl73_154
<=> m2_relset_1(sK51(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_154])]) ).
fof(f2246,plain,
( spl73_156
<=> v1_funct_2(sK51(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_156])]) ).
fof(f5432,plain,
( spl73_499
<=> sP23(sK39,sK51(sK39,sK40),sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_499])]) ).
fof(f5359,plain,
( spl73_487
<=> v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_487])]) ).
fof(f2416,plain,
( spl73_182
<=> v1_funct_1(sK51(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_182])]) ).
fof(f5436,plain,
( spl73_500
<=> v17_waybel_0(sK51(sK39,sK40),sK40,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_500])]) ).
fof(f2412,plain,
( spl73_181
<=> sP37(sK40,sK39,sK51(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_181])]) ).
fof(f5417,plain,
( ~ v17_waybel_0(sK51(sK39,sK40),sK40,sK39)
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| sP23(sK39,sK51(sK39,sK40),sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ v1_funct_2(sK51(sK39,sK40),sF66,sF72)
| ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ spl73_181
| ~ spl73_266 ),
inference(resolution,[],[f2935,f3289]) ).
fof(f2935,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ spl73_181 ),
inference(forward_demodulation,[],[f2934,f854]) ).
fof(f2934,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),u1_struct_0(sK39),sF66)
| ~ spl73_181 ),
inference(forward_demodulation,[],[f2931,f846]) ).
fof(f2931,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_181 ),
inference(resolution,[],[f2414,f791]) ).
fof(f2414,plain,
( sP37(sK40,sK39,sK51(sK39,sK40))
| ~ spl73_181 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f5426,plain,
( ~ spl73_181
| spl73_487 ),
inference(avatar_contradiction_clause,[],[f5419]) ).
fof(f5419,plain,
( $false
| ~ spl73_181
| spl73_487 ),
inference(resolution,[],[f5361,f2929]) ).
fof(f2929,plain,
( v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181 ),
inference(resolution,[],[f2414,f789]) ).
fof(f5361,plain,
( ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| spl73_487 ),
inference(avatar_component_clause,[],[f5359]) ).
fof(f5416,plain,
( ~ spl73_495
| ~ spl73_153
| ~ spl73_155
| spl73_496
| ~ spl73_481
| ~ spl73_177
| ~ spl73_497
| ~ spl73_176
| ~ spl73_265 ),
inference(avatar_split_clause,[],[f5344,f3273,f2386,f5413,f2390,f5312,f5409,f2241,f2226,f5405]) ).
fof(f5405,plain,
( spl73_495
<=> v1_funct_2(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_495])]) ).
fof(f2226,plain,
( spl73_153
<=> m2_relset_1(sK51(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_153])]) ).
fof(f2241,plain,
( spl73_155
<=> v1_funct_2(sK51(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_155])]) ).
fof(f5409,plain,
( spl73_496
<=> sP23(sK39,sK51(sK39,sK39),sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_496])]) ).
fof(f5312,plain,
( spl73_481
<=> v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_481])]) ).
fof(f2390,plain,
( spl73_177
<=> v1_funct_1(sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_177])]) ).
fof(f5413,plain,
( spl73_497
<=> v17_waybel_0(sK51(sK39,sK39),sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_497])]) ).
fof(f2386,plain,
( spl73_176
<=> sP37(sK39,sK39,sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_176])]) ).
fof(f5344,plain,
( ~ v17_waybel_0(sK51(sK39,sK39),sK39,sK39)
| ~ v1_funct_1(sK51(sK39,sK39))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| sP23(sK39,sK51(sK39,sK39),sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ v1_funct_2(sK51(sK39,sK39),sF72,sF72)
| ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ spl73_176
| ~ spl73_265 ),
inference(resolution,[],[f2923,f3274]) ).
fof(f2923,plain,
( m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ spl73_176 ),
inference(forward_demodulation,[],[f2921,f854]) ).
fof(f2921,plain,
( m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ spl73_176 ),
inference(resolution,[],[f2388,f791]) ).
fof(f2388,plain,
( sP37(sK39,sK39,sK51(sK39,sK39))
| ~ spl73_176 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f5403,plain,
( ~ spl73_176
| spl73_481 ),
inference(avatar_contradiction_clause,[],[f5396]) ).
fof(f5396,plain,
( $false
| ~ spl73_176
| spl73_481 ),
inference(resolution,[],[f5314,f2919]) ).
fof(f2919,plain,
( v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ spl73_176 ),
inference(resolution,[],[f2388,f789]) ).
fof(f5314,plain,
( ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| spl73_481 ),
inference(avatar_component_clause,[],[f5312]) ).
fof(f5395,plain,
( spl73_494
| ~ spl73_487
| ~ spl73_488
| ~ spl73_126
| ~ spl73_181 ),
inference(avatar_split_clause,[],[f5356,f2412,f1793,f5363,f5359,f5392]) ).
fof(f5392,plain,
( spl73_494
<=> sP37(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_494])]) ).
fof(f5363,plain,
( spl73_488
<=> m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_488])]) ).
fof(f5356,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| sP37(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_126
| ~ spl73_181 ),
inference(resolution,[],[f2933,f1794]) ).
fof(f2933,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ spl73_181 ),
inference(forward_demodulation,[],[f2932,f854]) ).
fof(f2932,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),u1_struct_0(sK39),sF66)
| ~ spl73_181 ),
inference(forward_demodulation,[],[f2930,f846]) ).
fof(f2930,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_181 ),
inference(resolution,[],[f2414,f790]) ).
fof(f5390,plain,
( ~ spl73_488
| ~ spl73_487
| spl73_493
| ~ spl73_130
| ~ spl73_181 ),
inference(avatar_split_clause,[],[f5355,f2412,f1870,f5388,f5359,f5363]) ).
fof(f5388,plain,
( spl73_493
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))) = k1_waybel_1(sK40,sK39,X1,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ v1_funct_2(X1,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_493])]) ).
fof(f5355,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))) = k1_waybel_1(sK40,sK39,X1,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_130
| ~ spl73_181 ),
inference(resolution,[],[f2933,f1871]) ).
fof(f5386,plain,
( ~ spl73_487
| ~ spl73_488
| spl73_492
| ~ spl73_181
| ~ spl73_202 ),
inference(avatar_split_clause,[],[f5381,f2611,f2412,f5383,f5363,f5359]) ).
fof(f5383,plain,
( spl73_492
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sF67,k1_waybel34(sK40,sK39,sK51(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_492])]) ).
fof(f5381,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sF67,k1_waybel34(sK40,sK39,sK51(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_202 ),
inference(forward_demodulation,[],[f5354,f693]) ).
fof(f5354,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF67))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_202 ),
inference(resolution,[],[f2933,f2612]) ).
fof(f5380,plain,
( ~ spl73_488
| ~ spl73_487
| spl73_491
| ~ spl73_181
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f5353,f3151,f2412,f5378,f5359,f5363]) ).
fof(f5378,plain,
( spl73_491
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_491])]) ).
fof(f5353,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66) )
| ~ spl73_181
| ~ spl73_255 ),
inference(resolution,[],[f2933,f3152]) ).
fof(f5376,plain,
( ~ spl73_487
| ~ spl73_488
| spl73_490
| ~ spl73_181
| ~ spl73_201 ),
inference(avatar_split_clause,[],[f5371,f2607,f2412,f5373,f5363,f5359]) ).
fof(f5373,plain,
( spl73_490
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sK51(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_490])]) ).
fof(f5371,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sK51(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_201 ),
inference(forward_demodulation,[],[f5352,f693]) ).
fof(f5352,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK51(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_201 ),
inference(resolution,[],[f2933,f2608]) ).
fof(f5370,plain,
( ~ spl73_487
| ~ spl73_488
| spl73_489
| ~ spl73_181
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f5357,f2763,f2412,f5367,f5363,f5359]) ).
fof(f5367,plain,
( spl73_489
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sK51(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_489])]) ).
fof(f5357,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sK51(sK39,sK40))))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_225 ),
inference(forward_demodulation,[],[f5351,f693]) ).
fof(f5351,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40))),k2_tarski(k1_waybel34(sK40,sK39,sK51(sK39,sK40)),sK52(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sK51(sK39,sK40)))
| ~ spl73_181
| ~ spl73_225 ),
inference(resolution,[],[f2933,f2764]) ).
fof(f5337,plain,
( spl73_486
| ~ spl73_481
| ~ spl73_482
| ~ spl73_124
| ~ spl73_176 ),
inference(avatar_split_clause,[],[f5310,f2386,f1775,f5316,f5312,f5334]) ).
fof(f5334,plain,
( spl73_486
<=> sP37(sK39,sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_486])]) ).
fof(f5316,plain,
( spl73_482
<=> m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_482])]) ).
fof(f5310,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| sP37(sK39,sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ spl73_124
| ~ spl73_176 ),
inference(resolution,[],[f2922,f1776]) ).
fof(f2922,plain,
( v1_funct_2(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ spl73_176 ),
inference(forward_demodulation,[],[f2920,f854]) ).
fof(f2920,plain,
( v1_funct_2(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ spl73_176 ),
inference(resolution,[],[f2388,f790]) ).
fof(f5332,plain,
( ~ spl73_482
| spl73_485
| ~ spl73_481
| ~ spl73_128
| ~ spl73_176 ),
inference(avatar_split_clause,[],[f5309,f2386,f1848,f5312,f5330,f5316]) ).
fof(f5330,plain,
( spl73_485
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK39,sK51(sK39,sK39))),k2_tarski(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),X0)) = k1_waybel_1(sK39,sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39)),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_485])]) ).
fof(f5309,plain,
( ! [X0] :
( ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(k1_waybel34(sK39,sK39,sK51(sK39,sK39))),k2_tarski(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),X0)) = k1_waybel_1(sK39,sK39,k1_waybel34(sK39,sK39,sK51(sK39,sK39)),X0)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72) )
| ~ spl73_128
| ~ spl73_176 ),
inference(resolution,[],[f2922,f1849]) ).
fof(f5328,plain,
( ~ spl73_481
| ~ spl73_482
| spl73_484
| ~ spl73_176
| ~ spl73_200 ),
inference(avatar_split_clause,[],[f5308,f2596,f2386,f5325,f5316,f5312]) ).
fof(f5325,plain,
( spl73_484
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_484])]) ).
fof(f5308,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ spl73_176
| ~ spl73_200 ),
inference(resolution,[],[f2922,f2597]) ).
fof(f5323,plain,
( ~ spl73_481
| ~ spl73_482
| spl73_483
| ~ spl73_176
| ~ spl73_222 ),
inference(avatar_split_clause,[],[f5307,f2747,f2386,f5320,f5316,f5312]) ).
fof(f5320,plain,
( spl73_483
<=> k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_483])]) ).
fof(f5307,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,sK51(sK39,sK39)))
| ~ spl73_176
| ~ spl73_222 ),
inference(resolution,[],[f2922,f2748]) ).
fof(f5301,plain,
( ~ spl73_161
| ~ spl73_119
| spl73_480
| ~ spl73_122
| ~ spl73_121
| ~ spl73_112
| ~ spl73_387 ),
inference(avatar_split_clause,[],[f5297,f4395,f1636,f1744,f1748,f5299,f1736,f2285]) ).
fof(f5299,plain,
( spl73_480
<=> ! [X0] : m1_subset_1(k10_relat_1(sK41,X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_480])]) ).
fof(f4395,plain,
( spl73_387
<=> ! [X1] : m1_subset_1(k5_pre_topc(sK39,sK40,sK41,X1),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_387])]) ).
fof(f5297,plain,
( ! [X0] :
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_2(sK41,sF72,sF66)
| m1_subset_1(k10_relat_1(sK41,X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK41)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_387 ),
inference(forward_demodulation,[],[f5296,f854]) ).
fof(f5296,plain,
( ! [X0] :
( ~ v1_funct_2(sK41,sF72,sF66)
| m1_subset_1(k10_relat_1(sK41,X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_387 ),
inference(forward_demodulation,[],[f5295,f854]) ).
fof(f5295,plain,
( ! [X0] :
( m1_subset_1(k10_relat_1(sK41,X0),k1_zfmisc_1(sF72))
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39) )
| ~ spl73_112
| ~ spl73_387 ),
inference(superposition,[],[f4396,f1688]) ).
fof(f4396,plain,
( ! [X1] : m1_subset_1(k5_pre_topc(sK39,sK40,sK41,X1),k1_zfmisc_1(sF72))
| ~ spl73_387 ),
inference(avatar_component_clause,[],[f4395]) ).
fof(f5288,plain,
( spl73_478
| spl73_479
| ~ spl73_380 ),
inference(avatar_split_clause,[],[f5280,f4281,f5286,f5282]) ).
fof(f5286,plain,
( spl73_479
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_479])]) ).
fof(f4281,plain,
( spl73_380
<=> v1_setfam_1(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_380])]) ).
fof(f5280,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41)) )
| ~ spl73_380 ),
inference(resolution,[],[f4283,f664]) ).
fof(f4283,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ spl73_380 ),
inference(avatar_component_clause,[],[f4281]) ).
fof(f5273,plain,
( ~ spl73_459
| ~ spl73_252 ),
inference(avatar_split_clause,[],[f4116,f3118,f4942]) ).
fof(f4942,plain,
( spl73_459
<=> v1_xboole_0(k1_waybel_1(sK40,sK39,sF67,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_459])]) ).
fof(f3118,plain,
( spl73_252
<=> k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK41)) = k1_waybel_1(sK40,sK39,sF67,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_252])]) ).
fof(f4116,plain,
( ~ v1_xboole_0(k1_waybel_1(sK40,sK39,sF67,sK41))
| ~ spl73_252 ),
inference(superposition,[],[f695,f3120]) ).
fof(f3120,plain,
( k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK41)) = k1_waybel_1(sK40,sK39,sF67,sK41)
| ~ spl73_252 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f5263,plain,
( ~ spl73_252
| ~ spl73_459 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl73_252
| ~ spl73_459 ),
inference(resolution,[],[f4944,f4116]) ).
fof(f4944,plain,
( v1_xboole_0(k1_waybel_1(sK40,sK39,sF67,sK41))
| ~ spl73_459 ),
inference(avatar_component_clause,[],[f4942]) ).
fof(f5256,plain,
( spl73_476
| spl73_477
| ~ spl73_374 ),
inference(avatar_split_clause,[],[f5248,f4250,f5254,f5250]) ).
fof(f5254,plain,
( spl73_477
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_477])]) ).
fof(f4250,plain,
( spl73_374
<=> v1_setfam_1(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_374])]) ).
fof(f5248,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41)) )
| ~ spl73_374 ),
inference(resolution,[],[f4252,f664]) ).
fof(f4252,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ spl73_374 ),
inference(avatar_component_clause,[],[f4250]) ).
fof(f5239,plain,
( ~ spl73_457
| ~ spl73_247 ),
inference(avatar_split_clause,[],[f4026,f3084,f4921]) ).
fof(f4921,plain,
( spl73_457
<=> v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_457])]) ).
fof(f3084,plain,
( spl73_247
<=> k1_waybel_1(sK39,sK40,sK41,sF67) = k2_tarski(k1_tarski(sK41),k2_tarski(sF67,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_247])]) ).
fof(f4026,plain,
( ~ v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ spl73_247 ),
inference(superposition,[],[f695,f3086]) ).
fof(f3086,plain,
( k1_waybel_1(sK39,sK40,sK41,sF67) = k2_tarski(k1_tarski(sK41),k2_tarski(sF67,sK41))
| ~ spl73_247 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f5228,plain,
( ~ spl73_247
| ~ spl73_457 ),
inference(avatar_contradiction_clause,[],[f5222]) ).
fof(f5222,plain,
( $false
| ~ spl73_247
| ~ spl73_457 ),
inference(resolution,[],[f4923,f4026]) ).
fof(f4923,plain,
( v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ spl73_457 ),
inference(avatar_component_clause,[],[f4921]) ).
fof(f5216,plain,
( spl73_474
| spl73_475
| ~ spl73_368 ),
inference(avatar_split_clause,[],[f5208,f4217,f5214,f5210]) ).
fof(f5214,plain,
( spl73_475
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_475])]) ).
fof(f4217,plain,
( spl73_368
<=> v1_setfam_1(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_368])]) ).
fof(f5208,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67)) )
| ~ spl73_368 ),
inference(resolution,[],[f4219,f664]) ).
fof(f4219,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ spl73_368 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f5190,plain,
( spl73_472
| spl73_473
| ~ spl73_362 ),
inference(avatar_split_clause,[],[f5182,f4179,f5188,f5184]) ).
fof(f5188,plain,
( spl73_473
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_473])]) ).
fof(f4179,plain,
( spl73_362
<=> v1_setfam_1(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_362])]) ).
fof(f5182,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67)) )
| ~ spl73_362 ),
inference(resolution,[],[f4181,f664]) ).
fof(f4181,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ spl73_362 ),
inference(avatar_component_clause,[],[f4179]) ).
fof(f5176,plain,
( spl73_2
| ~ spl73_161
| spl73_471
| ~ spl73_397
| ~ spl73_171
| ~ spl73_397 ),
inference(avatar_split_clause,[],[f5171,f4456,f2346,f4456,f5173,f2285,f888]) ).
fof(f888,plain,
( spl73_2
<=> v3_struct_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_2])]) ).
fof(f5173,plain,
( spl73_471
<=> m1_subset_1(k1_tarski(sF68),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_471])]) ).
fof(f2346,plain,
( spl73_171
<=> ! [X0] :
( m1_subset_1(k1_struct_0(sK39,X0),k1_zfmisc_1(sF72))
| ~ m1_subset_1(X0,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_171])]) ).
fof(f5171,plain,
( ~ m1_subset_1(sF68,sF72)
| m1_subset_1(k1_tarski(sF68),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_171
| ~ spl73_397 ),
inference(forward_demodulation,[],[f5169,f854]) ).
fof(f5169,plain,
( m1_subset_1(k1_tarski(sF68),k1_zfmisc_1(sF72))
| ~ m1_subset_1(sF68,u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_171
| ~ spl73_397 ),
inference(superposition,[],[f4460,f703]) ).
fof(f4460,plain,
( m1_subset_1(k1_struct_0(sK39,sF68),k1_zfmisc_1(sF72))
| ~ spl73_171
| ~ spl73_397 ),
inference(resolution,[],[f4458,f2347]) ).
fof(f2347,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF72)
| m1_subset_1(k1_struct_0(sK39,X0),k1_zfmisc_1(sF72)) )
| ~ spl73_171 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f4458,plain,
( m1_subset_1(sF68,sF72)
| ~ spl73_397 ),
inference(avatar_component_clause,[],[f4456]) ).
fof(f5156,plain,
( spl73_2
| ~ spl73_161
| spl73_470
| ~ spl73_171 ),
inference(avatar_split_clause,[],[f5152,f2346,f5154,f2285,f888]) ).
fof(f5154,plain,
( spl73_470
<=> ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK39,X0),sF72)
| m1_subset_1(k1_tarski(k2_yellow_0(sK39,X0)),k1_zfmisc_1(sF72)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_470])]) ).
fof(f5152,plain,
( ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK39,X0),sF72)
| m1_subset_1(k1_tarski(k2_yellow_0(sK39,X0)),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39) )
| ~ spl73_171 ),
inference(forward_demodulation,[],[f5150,f854]) ).
fof(f5150,plain,
( ! [X0] :
( m1_subset_1(k1_tarski(k2_yellow_0(sK39,X0)),k1_zfmisc_1(sF72))
| ~ m1_subset_1(k2_yellow_0(sK39,X0),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39) )
| ~ spl73_171 ),
inference(superposition,[],[f3499,f703]) ).
fof(f3499,plain,
( ! [X0] : m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X0)),k1_zfmisc_1(sF72))
| ~ spl73_171 ),
inference(resolution,[],[f2347,f957]) ).
fof(f957,plain,
! [X8] : m1_subset_1(k2_yellow_0(sK39,X8),sF72),
inference(forward_demodulation,[],[f865,f854]) ).
fof(f865,plain,
! [X8] : m1_subset_1(k2_yellow_0(sK39,X8),u1_struct_0(sK39)),
inference(resolution,[],[f503,f697]) ).
fof(f503,plain,
l1_orders_2(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f5143,plain,
( ~ spl73_189
| spl73_462 ),
inference(avatar_contradiction_clause,[],[f5142]) ).
fof(f5142,plain,
( $false
| ~ spl73_189
| spl73_462 ),
inference(resolution,[],[f4986,f2482]) ).
fof(f2482,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ spl73_189 ),
inference(forward_demodulation,[],[f2481,f854]) ).
fof(f2481,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),sF66)
| ~ spl73_189 ),
inference(forward_demodulation,[],[f2479,f846]) ).
fof(f2479,plain,
( v1_funct_2(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_189 ),
inference(resolution,[],[f2476,f790]) ).
fof(f2476,plain,
( sP37(sK40,sK39,sF67)
| ~ spl73_189 ),
inference(avatar_component_clause,[],[f2474]) ).
fof(f2474,plain,
( spl73_189
<=> sP37(sK40,sK39,sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_189])]) ).
fof(f4986,plain,
( ~ v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| spl73_462 ),
inference(avatar_component_clause,[],[f4984]) ).
fof(f5110,plain,
( spl73_114
| ~ spl73_161
| ~ spl73_185
| ~ spl73_61
| spl73_469
| ~ spl73_159
| ~ spl73_157
| ~ spl73_54
| ~ spl73_112
| ~ spl73_173 ),
inference(avatar_split_clause,[],[f5106,f2361,f1636,f1208,f2255,f2269,f5108,f1260,f2438,f2285,f1655]) ).
fof(f1260,plain,
( spl73_61
<=> l1_orders_2(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_61])]) ).
fof(f5108,plain,
( spl73_469
<=> ! [X1] :
( ~ r3_waybel_1(sK39,k1_funct_1(X1,sK47(sK40,sK51(sK40,sK39),sK39,X1)),k10_relat_1(sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X1))))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X1),sF66)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| sP23(sK40,sK51(sK40,sK39),sK39,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_469])]) ).
fof(f1208,plain,
( spl73_54
<=> ! [X21] :
( sP34(sK40,X21)
| ~ l1_orders_2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_54])]) ).
fof(f5106,plain,
( ! [X1] :
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| ~ v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| ~ r3_waybel_1(sK39,k1_funct_1(X1,sK47(sK40,sK51(sK40,sK39),sK39,X1)),k10_relat_1(sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X1))))
| ~ l1_orders_2(sK39)
| sP23(sK40,sK51(sK40,sK39),sK39,X1)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ l1_struct_0(sK39)
| v1_xboole_0(sF66)
| ~ m2_relset_1(X1,sF66,sF72)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X1),sF66)
| ~ v1_funct_2(X1,sF66,sF72) )
| ~ spl73_54
| ~ spl73_112
| ~ spl73_173 ),
inference(forward_demodulation,[],[f5105,f854]) ).
fof(f5105,plain,
( ! [X1] :
( ~ v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| ~ r3_waybel_1(sK39,k1_funct_1(X1,sK47(sK40,sK51(sK40,sK39),sK39,X1)),k10_relat_1(sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X1))))
| ~ l1_orders_2(sK39)
| sP23(sK40,sK51(sK40,sK39),sK39,X1)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ m2_relset_1(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| v1_xboole_0(sF66)
| ~ m2_relset_1(X1,sF66,sF72)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X1),sF66)
| ~ v1_funct_2(X1,sF66,sF72) )
| ~ spl73_54
| ~ spl73_112
| ~ spl73_173 ),
inference(forward_demodulation,[],[f5104,f854]) ).
fof(f5104,plain,
( ! [X1] :
( ~ r3_waybel_1(sK39,k1_funct_1(X1,sK47(sK40,sK51(sK40,sK39),sK39,X1)),k10_relat_1(sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X1))))
| ~ l1_orders_2(sK39)
| sP23(sK40,sK51(sK40,sK39),sK39,X1)
| ~ v1_funct_2(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ m2_relset_1(sK51(sK40,sK39),u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| v1_xboole_0(sF66)
| ~ m2_relset_1(X1,sF66,sF72)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X1),sF66)
| ~ v1_funct_2(X1,sF66,sF72) )
| ~ spl73_54
| ~ spl73_112
| ~ spl73_173 ),
inference(superposition,[],[f3316,f2362]) ).
fof(f3316,plain,
( ! [X0,X1] :
( ~ r3_waybel_1(X0,k7_yellow_2(sF66,X0,X1,sK47(sK40,sK51(sK40,X0),X0,X1)),k10_relat_1(sK51(sK40,X0),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,X0),X0,X1))))
| ~ l1_orders_2(X0)
| sP23(sK40,sK51(sK40,X0),X0,X1)
| ~ v1_funct_2(sK51(sK40,X0),u1_struct_0(X0),sF66)
| ~ v1_funct_1(sK51(sK40,X0))
| ~ m2_relset_1(sK51(sK40,X0),u1_struct_0(X0),sF66)
| ~ l1_struct_0(X0) )
| ~ spl73_54
| ~ spl73_112 ),
inference(superposition,[],[f2176,f1688]) ).
fof(f2176,plain,
( ! [X2,X3] :
( ~ r3_waybel_1(X2,k7_yellow_2(sF66,X2,X3,sK47(sK40,sK51(sK40,X2),X2,X3)),k5_pre_topc(X2,sK40,sK51(sK40,X2),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,X2),X2,X3))))
| ~ l1_orders_2(X2)
| sP23(sK40,sK51(sK40,X2),X2,X3) )
| ~ spl73_54 ),
inference(forward_demodulation,[],[f2174,f846]) ).
fof(f2174,plain,
( ! [X2,X3] :
( ~ l1_orders_2(X2)
| ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(sK40),X2,X3,sK47(sK40,sK51(sK40,X2),X2,X3)),k5_pre_topc(X2,sK40,sK51(sK40,X2),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,X2),X2,X3))))
| sP23(sK40,sK51(sK40,X2),X2,X3) )
| ~ spl73_54 ),
inference(resolution,[],[f1435,f685]) ).
fof(f685,plain,
! [X2,X3,X0,X1] :
( ~ v5_orders_3(X1,X2,X0)
| ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(X0),X2,X3,sK47(X0,X1,X2,X3)),k5_pre_topc(X2,X0,X1,k7_waybel_0(X0,sK47(X0,X1,X2,X3))))
| sP23(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f432]) ).
fof(f1435,plain,
( ! [X2] :
( v5_orders_3(sK51(sK40,X2),X2,sK40)
| ~ l1_orders_2(X2) )
| ~ spl73_54 ),
inference(resolution,[],[f1209,f766]) ).
fof(f766,plain,
! [X0,X1] :
( ~ sP34(X0,X1)
| v5_orders_3(sK51(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0,X1] :
( ( v5_orders_3(sK51(X0,X1),X1,X0)
& v1_funct_2(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK51(X0,X1))
& v1_relat_1(sK51(X0,X1))
& m1_relset_1(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP34(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f459,f460]) ).
fof(f460,plain,
! [X0,X1] :
( ? [X2] :
( v5_orders_3(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v5_orders_3(sK51(X0,X1),X1,X0)
& v1_funct_2(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK51(X0,X1))
& v1_relat_1(sK51(X0,X1))
& m1_relset_1(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f459,plain,
! [X0,X1] :
( ? [X2] :
( v5_orders_3(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP34(X0,X1) ),
inference(rectify,[],[f458]) ).
fof(f458,plain,
! [X1,X0] :
( ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP34(X1,X0) ),
inference(nnf_transformation,[],[f371]) ).
fof(f371,plain,
! [X1,X0] :
( ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP34(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1209,plain,
( ! [X21] :
( sP34(sK40,X21)
| ~ l1_orders_2(X21) )
| ~ spl73_54 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f5102,plain,
( ~ spl73_112
| ~ spl73_191
| spl73_468
| ~ spl73_160
| ~ spl73_158
| ~ spl73_112
| ~ spl73_269 ),
inference(avatar_split_clause,[],[f5098,f3318,f1636,f2260,f2274,f5100,f2499,f1636]) ).
fof(f5100,plain,
( spl73_468
<=> ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k10_relat_1(sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| sP23(sK40,sK51(sK40,sK40),sK40,X0)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_2(X0,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_468])]) ).
fof(f3318,plain,
( spl73_269
<=> ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k5_pre_topc(sK40,sK40,sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF66)
| sP23(sK40,sK51(sK40,sK40),sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_269])]) ).
fof(f5098,plain,
( ! [X0] :
( ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k10_relat_1(sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF66)
| sP23(sK40,sK51(sK40,sK40),sK40,X0)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_269 ),
inference(forward_demodulation,[],[f5097,f846]) ).
fof(f5097,plain,
( ! [X0] :
( ~ v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k10_relat_1(sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF66)
| sP23(sK40,sK51(sK40,sK40),sK40,X0)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_269 ),
inference(forward_demodulation,[],[f5096,f846]) ).
fof(f5096,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k10_relat_1(sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF66)
| sP23(sK40,sK51(sK40,sK40),sK40,X0)
| ~ v1_funct_2(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),u1_struct_0(sK40),sF66)
| ~ l1_struct_0(sK40) )
| ~ spl73_112
| ~ spl73_269 ),
inference(superposition,[],[f3319,f1688]) ).
fof(f3319,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k5_pre_topc(sK40,sK40,sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF66)
| sP23(sK40,sK51(sK40,sK40),sK40,X0) )
| ~ spl73_269 ),
inference(avatar_component_clause,[],[f3318]) ).
fof(f5088,plain,
( spl73_378
| spl73_379
| spl73_380
| ~ spl73_251 ),
inference(avatar_split_clause,[],[f4372,f3113,f4281,f4277,f4273]) ).
fof(f4273,plain,
( spl73_378
<=> v1_xboole_0(k1_tarski(sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_378])]) ).
fof(f4372,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| v1_xboole_0(k2_tarski(sK41,sK52(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK52(sK39,sK40)))
| ~ spl73_251 ),
inference(superposition,[],[f702,f3115]) ).
fof(f5075,plain,
( spl73_354
| spl73_467
| ~ spl73_379 ),
inference(avatar_split_clause,[],[f5063,f4277,f5072,f4089]) ).
fof(f4089,plain,
( spl73_354
<=> v1_xboole_0(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_354])]) ).
fof(f5072,plain,
( spl73_467
<=> v1_xboole_0(sK52(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_467])]) ).
fof(f5063,plain,
( v1_xboole_0(sK52(sK39,sK40))
| v1_xboole_0(sK41)
| ~ spl73_379 ),
inference(resolution,[],[f4279,f701]) ).
fof(f701,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_tarski(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f4279,plain,
( v1_xboole_0(k2_tarski(sK41,sK52(sK39,sK40)))
| ~ spl73_379 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f5070,plain,
~ spl73_379,
inference(avatar_contradiction_clause,[],[f5064]) ).
fof(f5064,plain,
( $false
| ~ spl73_379 ),
inference(resolution,[],[f4279,f695]) ).
fof(f5055,plain,
( spl73_372
| spl73_373
| spl73_374
| ~ spl73_250 ),
inference(avatar_split_clause,[],[f4353,f3107,f4250,f4246,f4242]) ).
fof(f4242,plain,
( spl73_372
<=> v1_xboole_0(k1_tarski(sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_372])]) ).
fof(f4353,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| v1_xboole_0(k2_tarski(sK41,sK51(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK51(sK39,sK40)))
| ~ spl73_250 ),
inference(superposition,[],[f702,f3109]) ).
fof(f5042,plain,
( spl73_354
| spl73_466
| ~ spl73_373 ),
inference(avatar_split_clause,[],[f5030,f4246,f5039,f4089]) ).
fof(f5039,plain,
( spl73_466
<=> v1_xboole_0(sK51(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_466])]) ).
fof(f5030,plain,
( v1_xboole_0(sK51(sK39,sK40))
| v1_xboole_0(sK41)
| ~ spl73_373 ),
inference(resolution,[],[f4248,f701]) ).
fof(f4248,plain,
( v1_xboole_0(k2_tarski(sK41,sK51(sK39,sK40)))
| ~ spl73_373 ),
inference(avatar_component_clause,[],[f4246]) ).
fof(f5037,plain,
~ spl73_373,
inference(avatar_contradiction_clause,[],[f5031]) ).
fof(f5031,plain,
( $false
| ~ spl73_373 ),
inference(resolution,[],[f4248,f695]) ).
fof(f5021,plain,
( spl73_366
| spl73_367
| spl73_368
| ~ spl73_249 ),
inference(avatar_split_clause,[],[f4334,f3096,f4217,f4213,f4209]) ).
fof(f4209,plain,
( spl73_366
<=> v1_xboole_0(k1_tarski(sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_366])]) ).
fof(f4334,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| v1_xboole_0(k2_tarski(sF67,sK52(sK40,sK39)))
| v1_xboole_0(k1_tarski(sK52(sK40,sK39)))
| ~ spl73_249 ),
inference(superposition,[],[f702,f3098]) ).
fof(f5008,plain,
( spl73_353
| spl73_465
| ~ spl73_367 ),
inference(avatar_split_clause,[],[f4996,f4213,f5005,f4085]) ).
fof(f4085,plain,
( spl73_353
<=> v1_xboole_0(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_353])]) ).
fof(f5005,plain,
( spl73_465
<=> v1_xboole_0(sK52(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_465])]) ).
fof(f4996,plain,
( v1_xboole_0(sK52(sK40,sK39))
| v1_xboole_0(sF67)
| ~ spl73_367 ),
inference(resolution,[],[f4215,f701]) ).
fof(f4215,plain,
( v1_xboole_0(k2_tarski(sF67,sK52(sK40,sK39)))
| ~ spl73_367 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f5003,plain,
~ spl73_367,
inference(avatar_contradiction_clause,[],[f4997]) ).
fof(f4997,plain,
( $false
| ~ spl73_367 ),
inference(resolution,[],[f4215,f695]) ).
fof(f4995,plain,
( ~ spl73_462
| ~ spl73_146
| ~ spl73_147
| spl73_463
| ~ spl73_258
| ~ spl73_145
| ~ spl73_464
| ~ spl73_189
| ~ spl73_266 ),
inference(avatar_split_clause,[],[f4982,f3288,f2474,f4992,f2033,f3194,f4988,f2041,f2037,f4984]) ).
fof(f4988,plain,
( spl73_463
<=> sP23(sK39,sF67,sK40,k1_waybel34(sK40,sK39,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_463])]) ).
fof(f4992,plain,
( spl73_464
<=> v17_waybel_0(sF67,sK40,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_464])]) ).
fof(f4982,plain,
( ~ v17_waybel_0(sF67,sK40,sK39)
| ~ v1_funct_1(sF67)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| sP23(sK39,sF67,sK40,k1_waybel34(sK40,sK39,sF67))
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ spl73_189
| ~ spl73_266 ),
inference(resolution,[],[f3289,f2484]) ).
fof(f2484,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ spl73_189 ),
inference(forward_demodulation,[],[f2483,f854]) ).
fof(f2483,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),sF66)
| ~ spl73_189 ),
inference(forward_demodulation,[],[f2480,f846]) ).
fof(f2480,plain,
( m2_relset_1(k1_waybel34(sK40,sK39,sF67),u1_struct_0(sK39),u1_struct_0(sK40))
| ~ spl73_189 ),
inference(resolution,[],[f2476,f791]) ).
fof(f4974,plain,
( spl73_360
| spl73_361
| spl73_362
| ~ spl73_248 ),
inference(avatar_split_clause,[],[f4315,f3090,f4179,f4175,f4171]) ).
fof(f4171,plain,
( spl73_360
<=> v1_xboole_0(k1_tarski(sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_360])]) ).
fof(f4315,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| v1_xboole_0(k2_tarski(sF67,sK51(sK40,sK39)))
| v1_xboole_0(k1_tarski(sK51(sK40,sK39)))
| ~ spl73_248 ),
inference(superposition,[],[f702,f3092]) ).
fof(f4961,plain,
( spl73_353
| spl73_461
| ~ spl73_361 ),
inference(avatar_split_clause,[],[f4949,f4175,f4958,f4085]) ).
fof(f4958,plain,
( spl73_461
<=> v1_xboole_0(sK51(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_461])]) ).
fof(f4949,plain,
( v1_xboole_0(sK51(sK40,sK39))
| v1_xboole_0(sF67)
| ~ spl73_361 ),
inference(resolution,[],[f4177,f701]) ).
fof(f4177,plain,
( v1_xboole_0(k2_tarski(sF67,sK51(sK40,sK39)))
| ~ spl73_361 ),
inference(avatar_component_clause,[],[f4175]) ).
fof(f4956,plain,
~ spl73_361,
inference(avatar_contradiction_clause,[],[f4950]) ).
fof(f4950,plain,
( $false
| ~ spl73_361 ),
inference(resolution,[],[f4177,f695]) ).
fof(f4948,plain,
( spl73_459
| spl73_460
| ~ spl73_356 ),
inference(avatar_split_clause,[],[f4940,f4126,f4946,f4942]) ).
fof(f4946,plain,
( spl73_460
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sF67,sK41))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_460])]) ).
fof(f4126,plain,
( spl73_356
<=> v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_356])]) ).
fof(f4940,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK40,sK39,sF67,sK41))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK40,sK39,sF67,sK41)) )
| ~ spl73_356 ),
inference(resolution,[],[f4128,f664]) ).
fof(f4128,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK41))
| ~ spl73_356 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f4927,plain,
( spl73_457
| spl73_458
| ~ spl73_349 ),
inference(avatar_split_clause,[],[f4919,f4040,f4925,f4921]) ).
fof(f4925,plain,
( spl73_458
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_458])]) ).
fof(f4040,plain,
( spl73_349
<=> v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_349])]) ).
fof(f4919,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_waybel_1(sK39,sK40,sK41,sF67)) )
| ~ spl73_349 ),
inference(resolution,[],[f4042,f664]) ).
fof(f4042,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ spl73_349 ),
inference(avatar_component_clause,[],[f4040]) ).
fof(f4910,plain,
( ~ spl73_230
| ~ spl73_197
| spl73_456
| ~ spl73_199
| ~ spl73_229 ),
inference(avatar_split_clause,[],[f4889,f2795,f2568,f4907,f2554,f2798]) ).
fof(f4907,plain,
( spl73_456
<=> k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK52(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK52(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_456])]) ).
fof(f4889,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK52(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK52(sK40,sK40))
| ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ spl73_199
| ~ spl73_229 ),
inference(resolution,[],[f2796,f2570]) ).
fof(f2570,plain,
( v1_funct_2(sK52(sK40,sK40),sF66,sF66)
| ~ spl73_199 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f4905,plain,
( ~ spl73_191
| ~ spl73_158
| spl73_455
| ~ spl73_160
| ~ spl73_229 ),
inference(avatar_split_clause,[],[f4900,f2795,f2274,f4902,f2260,f2499]) ).
fof(f4902,plain,
( spl73_455
<=> k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK51(sK40,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK52(sK40,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_455])]) ).
fof(f4900,plain,
( k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK51(sK40,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK52(sK40,sK40)))
| ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ spl73_160
| ~ spl73_229 ),
inference(forward_demodulation,[],[f4888,f693]) ).
fof(f4888,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK51(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ spl73_160
| ~ spl73_229 ),
inference(resolution,[],[f2796,f2276]) ).
fof(f2276,plain,
( v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| ~ spl73_160 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f4899,plain,
( ~ spl73_437
| ~ spl73_334
| spl73_454
| ~ spl73_229
| ~ spl73_336 ),
inference(avatar_split_clause,[],[f4887,f3882,f2795,f4896,f3866,f4788]) ).
fof(f4788,plain,
( spl73_437
<=> v1_funct_1(sK50(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_437])]) ).
fof(f3866,plain,
( spl73_334
<=> m2_relset_1(sK50(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_334])]) ).
fof(f4896,plain,
( spl73_454
<=> k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK50(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK50(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_454])]) ).
fof(f3882,plain,
( spl73_336
<=> v1_funct_2(sK50(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_336])]) ).
fof(f4887,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK50(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK50(sK40,sK40))
| ~ m2_relset_1(sK50(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK50(sK40,sK40))
| ~ spl73_229
| ~ spl73_336 ),
inference(resolution,[],[f2796,f3884]) ).
fof(f3884,plain,
( v1_funct_2(sK50(sK40,sK40),sF66,sF66)
| ~ spl73_336 ),
inference(avatar_component_clause,[],[f3882]) ).
fof(f4894,plain,
( ~ spl73_398
| ~ spl73_330
| spl73_453
| ~ spl73_229
| ~ spl73_332 ),
inference(avatar_split_clause,[],[f4886,f3852,f2795,f4891,f3836,f4498]) ).
fof(f4498,plain,
( spl73_398
<=> v1_funct_1(sK49(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_398])]) ).
fof(f3836,plain,
( spl73_330
<=> m2_relset_1(sK49(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_330])]) ).
fof(f4891,plain,
( spl73_453
<=> k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK49(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK49(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_453])]) ).
fof(f3852,plain,
( spl73_332
<=> v1_funct_2(sK49(sK40,sK40),sF66,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_332])]) ).
fof(f4886,plain,
( k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),sK49(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),sK49(sK40,sK40))
| ~ m2_relset_1(sK49(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK49(sK40,sK40))
| ~ spl73_229
| ~ spl73_332 ),
inference(resolution,[],[f2796,f3854]) ).
fof(f3854,plain,
( v1_funct_2(sK49(sK40,sK40),sF66,sF66)
| ~ spl73_332 ),
inference(avatar_component_clause,[],[f3852]) ).
fof(f4885,plain,
( ~ spl73_223
| ~ spl73_192
| spl73_452
| ~ spl73_194
| ~ spl73_222 ),
inference(avatar_split_clause,[],[f4864,f2747,f2536,f4882,f2520,f2750]) ).
fof(f4882,plain,
( spl73_452
<=> k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK52(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK52(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_452])]) ).
fof(f4864,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK52(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK52(sK39,sK39))
| ~ m2_relset_1(sK52(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK52(sK39,sK39))
| ~ spl73_194
| ~ spl73_222 ),
inference(resolution,[],[f2748,f2538]) ).
fof(f2538,plain,
( v1_funct_2(sK52(sK39,sK39),sF72,sF72)
| ~ spl73_194 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f4880,plain,
( ~ spl73_177
| ~ spl73_153
| spl73_451
| ~ spl73_155
| ~ spl73_222 ),
inference(avatar_split_clause,[],[f4875,f2747,f2241,f4877,f2226,f2390]) ).
fof(f4877,plain,
( spl73_451
<=> k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK51(sK39,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK52(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_451])]) ).
fof(f4875,plain,
( k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK51(sK39,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK52(sK39,sK39)))
| ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK51(sK39,sK39))
| ~ spl73_155
| ~ spl73_222 ),
inference(forward_demodulation,[],[f4863,f693]) ).
fof(f4863,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK51(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK51(sK39,sK39))
| ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK51(sK39,sK39))
| ~ spl73_155
| ~ spl73_222 ),
inference(resolution,[],[f2748,f2243]) ).
fof(f2243,plain,
( v1_funct_2(sK51(sK39,sK39),sF72,sF72)
| ~ spl73_155 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f4874,plain,
( ~ spl73_358
| ~ spl73_325
| spl73_450
| ~ spl73_222
| ~ spl73_327 ),
inference(avatar_split_clause,[],[f4862,f3817,f2747,f4871,f3802,f4156]) ).
fof(f4156,plain,
( spl73_358
<=> v1_funct_1(sK50(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_358])]) ).
fof(f3802,plain,
( spl73_325
<=> m2_relset_1(sK50(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_325])]) ).
fof(f4871,plain,
( spl73_450
<=> k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK50(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK50(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_450])]) ).
fof(f3817,plain,
( spl73_327
<=> v1_funct_2(sK50(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_327])]) ).
fof(f4862,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK50(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK50(sK39,sK39))
| ~ m2_relset_1(sK50(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK50(sK39,sK39))
| ~ spl73_222
| ~ spl73_327 ),
inference(resolution,[],[f2748,f3819]) ).
fof(f3819,plain,
( v1_funct_2(sK50(sK39,sK39),sF72,sF72)
| ~ spl73_327 ),
inference(avatar_component_clause,[],[f3817]) ).
fof(f4869,plain,
( ~ spl73_340
| ~ spl73_321
| spl73_449
| ~ spl73_222
| ~ spl73_323 ),
inference(avatar_split_clause,[],[f4861,f3788,f2747,f4866,f3773,f3932]) ).
fof(f3932,plain,
( spl73_340
<=> v1_funct_1(sK49(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_340])]) ).
fof(f3773,plain,
( spl73_321
<=> m2_relset_1(sK49(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_321])]) ).
fof(f4866,plain,
( spl73_449
<=> k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK49(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK49(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_449])]) ).
fof(f3788,plain,
( spl73_323
<=> v1_funct_2(sK49(sK39,sK39),sF72,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_323])]) ).
fof(f4861,plain,
( k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),sK49(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),sK49(sK39,sK39))
| ~ m2_relset_1(sK49(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK49(sK39,sK39))
| ~ spl73_222
| ~ spl73_323 ),
inference(resolution,[],[f2748,f3790]) ).
fof(f3790,plain,
( v1_funct_2(sK49(sK39,sK39),sF72,sF72)
| ~ spl73_323 ),
inference(avatar_component_clause,[],[f3788]) ).
fof(f4860,plain,
( ~ spl73_437
| ~ spl73_334
| spl73_448
| ~ spl73_205
| ~ spl73_336 ),
inference(avatar_split_clause,[],[f4836,f3882,f2639,f4857,f3866,f4788]) ).
fof(f4857,plain,
( spl73_448
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK50(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK50(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_448])]) ).
fof(f4836,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK50(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK50(sK40,sK40))
| ~ m2_relset_1(sK50(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK50(sK40,sK40))
| ~ spl73_205
| ~ spl73_336 ),
inference(resolution,[],[f2640,f3884]) ).
fof(f4855,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_87
| spl73_437 ),
inference(avatar_split_clause,[],[f4854,f4788,f1475,f1088,f1301]) ).
fof(f1301,plain,
( spl73_66
<=> l1_orders_2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_66])]) ).
fof(f4854,plain,
( v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_87
| spl73_437 ),
inference(resolution,[],[f4828,f1476]) ).
fof(f4828,plain,
( ~ sP28(sK40,sK40)
| spl73_437 ),
inference(resolution,[],[f4790,f723]) ).
fof(f723,plain,
! [X0,X1] :
( v1_funct_1(sK50(X0,X1))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f447]) ).
fof(f4790,plain,
( ~ v1_funct_1(sK50(sK40,sK40))
| spl73_437 ),
inference(avatar_component_clause,[],[f4788]) ).
fof(f4853,plain,
( ~ spl73_230
| ~ spl73_197
| spl73_447
| ~ spl73_199
| ~ spl73_205 ),
inference(avatar_split_clause,[],[f4838,f2639,f2568,f4850,f2554,f2798]) ).
fof(f4850,plain,
( spl73_447
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK52(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK52(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_447])]) ).
fof(f4838,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK52(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK52(sK40,sK40))
| ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ spl73_199
| ~ spl73_205 ),
inference(resolution,[],[f2640,f2570]) ).
fof(f4848,plain,
( ~ spl73_191
| ~ spl73_158
| spl73_446
| ~ spl73_160
| ~ spl73_205 ),
inference(avatar_split_clause,[],[f4837,f2639,f2274,f4845,f2260,f2499]) ).
fof(f4845,plain,
( spl73_446
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK51(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_446])]) ).
fof(f4837,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK51(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ spl73_160
| ~ spl73_205 ),
inference(resolution,[],[f2640,f2276]) ).
fof(f4843,plain,
( ~ spl73_398
| ~ spl73_330
| spl73_445
| ~ spl73_205
| ~ spl73_332 ),
inference(avatar_split_clause,[],[f4835,f3852,f2639,f4840,f3836,f4498]) ).
fof(f4840,plain,
( spl73_445
<=> k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK49(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK49(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_445])]) ).
fof(f4835,plain,
( k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),sK49(sK40,sK40))) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),sK49(sK40,sK40))
| ~ m2_relset_1(sK49(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK49(sK40,sK40))
| ~ spl73_205
| ~ spl73_332 ),
inference(resolution,[],[f2640,f3854]) ).
fof(f4827,plain,
( ~ spl73_223
| ~ spl73_192
| spl73_444
| ~ spl73_194
| ~ spl73_200 ),
inference(avatar_split_clause,[],[f4807,f2596,f2536,f4824,f2520,f2750]) ).
fof(f4824,plain,
( spl73_444
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK52(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK52(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_444])]) ).
fof(f4807,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK52(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK52(sK39,sK39))
| ~ m2_relset_1(sK52(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK52(sK39,sK39))
| ~ spl73_194
| ~ spl73_200 ),
inference(resolution,[],[f2597,f2538]) ).
fof(f4822,plain,
( ~ spl73_177
| ~ spl73_153
| spl73_443
| ~ spl73_155
| ~ spl73_200 ),
inference(avatar_split_clause,[],[f4806,f2596,f2241,f4819,f2226,f2390]) ).
fof(f4819,plain,
( spl73_443
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK51(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_443])]) ).
fof(f4806,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK51(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK51(sK39,sK39))
| ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK51(sK39,sK39))
| ~ spl73_155
| ~ spl73_200 ),
inference(resolution,[],[f2597,f2243]) ).
fof(f4817,plain,
( ~ spl73_358
| ~ spl73_325
| spl73_442
| ~ spl73_200
| ~ spl73_327 ),
inference(avatar_split_clause,[],[f4805,f3817,f2596,f4814,f3802,f4156]) ).
fof(f4814,plain,
( spl73_442
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK50(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK50(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_442])]) ).
fof(f4805,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK50(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK50(sK39,sK39))
| ~ m2_relset_1(sK50(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK50(sK39,sK39))
| ~ spl73_200
| ~ spl73_327 ),
inference(resolution,[],[f2597,f3819]) ).
fof(f4812,plain,
( ~ spl73_340
| ~ spl73_321
| spl73_441
| ~ spl73_200
| ~ spl73_323 ),
inference(avatar_split_clause,[],[f4804,f3788,f2596,f4809,f3773,f3932]) ).
fof(f4809,plain,
( spl73_441
<=> k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK49(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK49(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_441])]) ).
fof(f4804,plain,
( k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),sK49(sK39,sK39))) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),sK49(sK39,sK39))
| ~ m2_relset_1(sK49(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK49(sK39,sK39))
| ~ spl73_200
| ~ spl73_323 ),
inference(resolution,[],[f2597,f3790]) ).
fof(f4803,plain,
( spl73_440
| ~ spl73_437
| ~ spl73_334
| ~ spl73_127
| ~ spl73_336 ),
inference(avatar_split_clause,[],[f4786,f3882,f1797,f3866,f4788,f4800]) ).
fof(f4800,plain,
( spl73_440
<=> sP37(sK40,sK40,sK50(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_440])]) ).
fof(f4786,plain,
( ~ m2_relset_1(sK50(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK50(sK40,sK40))
| sP37(sK40,sK40,sK50(sK40,sK40))
| ~ spl73_127
| ~ spl73_336 ),
inference(resolution,[],[f3884,f1798]) ).
fof(f4798,plain,
( ~ spl73_334
| spl73_439
| ~ spl73_437
| ~ spl73_131
| ~ spl73_336 ),
inference(avatar_split_clause,[],[f4785,f3882,f1874,f4788,f4796,f3866]) ).
fof(f4796,plain,
( spl73_439
<=> ! [X1] :
( ~ v1_funct_1(X1)
| k2_tarski(k1_tarski(sK50(sK40,sK40)),k2_tarski(sK50(sK40,sK40),X1)) = k1_waybel_1(sK40,sK40,sK50(sK40,sK40),X1)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_2(X1,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_439])]) ).
fof(f4785,plain,
( ! [X1] :
( ~ v1_funct_1(sK50(sK40,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| k2_tarski(k1_tarski(sK50(sK40,sK40)),k2_tarski(sK50(sK40,sK40),X1)) = k1_waybel_1(sK40,sK40,sK50(sK40,sK40),X1)
| ~ m2_relset_1(sK50(sK40,sK40),sF66,sF66) )
| ~ spl73_131
| ~ spl73_336 ),
inference(resolution,[],[f3884,f1875]) ).
fof(f4794,plain,
( ~ spl73_334
| ~ spl73_437
| spl73_438
| ~ spl73_256
| ~ spl73_336 ),
inference(avatar_split_clause,[],[f4784,f3882,f3155,f4792,f4788,f3866]) ).
fof(f4792,plain,
( spl73_438
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,sK50(sK40,sK40),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_438])]) ).
fof(f4784,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK40,sK40,sK50(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK50(sK40,sK40))
| ~ m2_relset_1(sK50(sK40,sK40),sF66,sF66) )
| ~ spl73_256
| ~ spl73_336 ),
inference(resolution,[],[f3884,f3156]) ).
fof(f4783,plain,
( ~ spl73_112
| ~ spl73_145
| spl73_436
| ~ spl73_147
| ~ spl73_146
| ~ spl73_143
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f4779,f2285,f2013,f2037,f2041,f4781,f2033,f1636]) ).
fof(f4781,plain,
( spl73_436
<=> ! [X0] :
( ~ r3_waybel_1(sK40,k7_yellow_2(sF72,sK40,X0,sK47(sK39,sF67,sK40,X0)),k10_relat_1(sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| sP23(sK39,sF67,sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_436])]) ).
fof(f2013,plain,
( spl73_143
<=> sP38(sK39,sK40,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_143])]) ).
fof(f4779,plain,
( ! [X0] :
( ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ r3_waybel_1(sK40,k7_yellow_2(sF72,sK40,X0,sK47(sK39,sF67,sK40,X0)),k10_relat_1(sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| sP23(sK39,sF67,sK40,X0)
| ~ v1_funct_1(sF67)
| ~ l1_struct_0(sK40) )
| ~ spl73_143
| ~ spl73_161 ),
inference(forward_demodulation,[],[f4778,f846]) ).
fof(f4778,plain,
( ! [X0] :
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ r3_waybel_1(sK40,k7_yellow_2(sF72,sK40,X0,sK47(sK39,sF67,sK40,X0)),k10_relat_1(sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| sP23(sK39,sF67,sK40,X0)
| ~ v1_funct_1(sF67)
| ~ m2_relset_1(sF67,u1_struct_0(sK40),sF72)
| ~ l1_struct_0(sK40) )
| ~ spl73_143
| ~ spl73_161 ),
inference(forward_demodulation,[],[f4773,f846]) ).
fof(f4773,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k7_yellow_2(sF72,sK40,X0,sK47(sK39,sF67,sK40,X0)),k10_relat_1(sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| sP23(sK39,sF67,sK40,X0)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ v1_funct_1(sF67)
| ~ m2_relset_1(sF67,u1_struct_0(sK40),sF72)
| ~ l1_struct_0(sK40) )
| ~ spl73_143
| ~ spl73_161 ),
inference(superposition,[],[f2145,f2366]) ).
fof(f2366,plain,
( ! [X8,X9,X7] :
( k10_relat_1(X7,X9) = k5_pre_topc(X8,sK39,X7,X9)
| ~ v1_funct_2(X7,u1_struct_0(X8),sF72)
| ~ v1_funct_1(X7)
| ~ m2_relset_1(X7,u1_struct_0(X8),sF72)
| ~ l1_struct_0(X8) )
| ~ spl73_161 ),
inference(forward_literal_rewriting,[],[f2365,f803]) ).
fof(f2365,plain,
( ! [X8,X9,X7] :
( ~ v1_funct_2(X7,u1_struct_0(X8),sF72)
| ~ m1_relset_1(X7,u1_struct_0(X8),sF72)
| ~ v1_funct_1(X7)
| k10_relat_1(X7,X9) = k5_pre_topc(X8,sK39,X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2364,f854]) ).
fof(f2364,plain,
( ! [X8,X9,X7] :
( ~ m1_relset_1(X7,u1_struct_0(X8),sF72)
| ~ v1_funct_2(X7,u1_struct_0(X8),u1_struct_0(sK39))
| ~ v1_funct_1(X7)
| k10_relat_1(X7,X9) = k5_pre_topc(X8,sK39,X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2329,f854]) ).
fof(f2329,plain,
( ! [X8,X9,X7] :
( ~ m1_relset_1(X7,u1_struct_0(X8),u1_struct_0(sK39))
| ~ v1_funct_2(X7,u1_struct_0(X8),u1_struct_0(sK39))
| ~ v1_funct_1(X7)
| k10_relat_1(X7,X9) = k5_pre_topc(X8,sK39,X7,X9)
| ~ l1_struct_0(X8) )
| ~ spl73_161 ),
inference(resolution,[],[f2286,f808]) ).
fof(f2286,plain,
( l1_struct_0(sK39)
| ~ spl73_161 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2145,plain,
( ! [X1] :
( ~ r3_waybel_1(sK40,k7_yellow_2(sF72,sK40,X1,sK47(sK39,sF67,sK40,X1)),k5_pre_topc(sK40,sK39,sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X1))))
| sP23(sK39,sF67,sK40,X1) )
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2143,f854]) ).
fof(f2143,plain,
( ! [X1] :
( ~ r3_waybel_1(sK40,k7_yellow_2(u1_struct_0(sK39),sK40,X1,sK47(sK39,sF67,sK40,X1)),k5_pre_topc(sK40,sK39,sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X1))))
| sP23(sK39,sF67,sK40,X1) )
| ~ spl73_143 ),
inference(resolution,[],[f2075,f685]) ).
fof(f2075,plain,
( v5_orders_3(sF67,sK40,sK39)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2063,f847]) ).
fof(f2063,plain,
( v5_orders_3(k1_waybel34(sK39,sK40,sK41),sK40,sK39)
| ~ spl73_143 ),
inference(resolution,[],[f2015,f800]) ).
fof(f800,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0,X1,X2] :
( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ sP38(X0,X1,X2) ),
inference(nnf_transformation,[],[f379]) ).
fof(f379,plain,
! [X0,X1,X2] :
( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ sP38(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2015,plain,
( sP38(sK39,sK40,sK41)
| ~ spl73_143 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f4777,plain,
( spl73_169
| spl73_435
| ~ spl73_118
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f4772,f2013,f1683,f4775,f2333]) ).
fof(f2333,plain,
( spl73_169
<=> v1_xboole_0(sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_169])]) ).
fof(f4775,plain,
( spl73_435
<=> ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK39,sF67,sK40,X0)),k5_pre_topc(sK40,sK39,sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m1_subset_1(sK47(sK39,sF67,sK40,X0),sF72)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| sP23(sK39,sF67,sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_435])]) ).
fof(f1683,plain,
( spl73_118
<=> ! [X6,X4,X5] :
( ~ m2_relset_1(X6,X5,sF66)
| v1_xboole_0(X5)
| k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_118])]) ).
fof(f4772,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK39,sF67,sK40,X0)),k5_pre_topc(sK40,sK39,sF67,k7_waybel_0(sK39,sK47(sK39,sF67,sK40,X0))))
| sP23(sK39,sF67,sK40,X0)
| v1_xboole_0(sF72)
| ~ m2_relset_1(X0,sF72,sF66)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK47(sK39,sF67,sK40,X0),sF72)
| ~ v1_funct_2(X0,sF72,sF66) )
| ~ spl73_118
| ~ spl73_143 ),
inference(superposition,[],[f2145,f1684]) ).
fof(f1684,plain,
( ! [X6,X4,X5] :
( k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| v1_xboole_0(X5)
| ~ m2_relset_1(X6,X5,sF66)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,sF66) )
| ~ spl73_118 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f4767,plain,
( ~ spl73_418
| ~ spl73_333
| spl73_434
| ~ spl73_225
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4762,f3877,f2763,f4764,f3861,f4660]) ).
fof(f4660,plain,
( spl73_418
<=> v1_funct_1(sK50(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_418])]) ).
fof(f3861,plain,
( spl73_333
<=> m2_relset_1(sK50(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_333])]) ).
fof(f4764,plain,
( spl73_434
<=> k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK52(sK39,sK40),sK50(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_434])]) ).
fof(f3877,plain,
( spl73_335
<=> v1_funct_2(sK50(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_335])]) ).
fof(f4762,plain,
( k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK52(sK39,sK40),sK50(sK40,sK39)))
| ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_225
| ~ spl73_335 ),
inference(forward_demodulation,[],[f4690,f693]) ).
fof(f4690,plain,
( ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK50(sK40,sK39),sK52(sK39,sK40)))
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_225
| ~ spl73_335 ),
inference(resolution,[],[f2764,f3879]) ).
fof(f3879,plain,
( v1_funct_2(sK50(sK40,sK39),sF72,sF66)
| ~ spl73_335 ),
inference(avatar_component_clause,[],[f3877]) ).
fof(f4761,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_87
| spl73_418 ),
inference(avatar_split_clause,[],[f4760,f4660,f1475,f888,f1260]) ).
fof(f4760,plain,
( v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_87
| spl73_418 ),
inference(resolution,[],[f4720,f1476]) ).
fof(f4720,plain,
( ~ sP28(sK40,sK39)
| spl73_418 ),
inference(resolution,[],[f4662,f723]) ).
fof(f4662,plain,
( ~ v1_funct_1(sK50(sK40,sK39))
| spl73_418 ),
inference(avatar_component_clause,[],[f4660]) ).
fof(f4759,plain,
( ~ spl73_145
| spl73_433
| ~ spl73_146
| ~ spl73_147
| ~ spl73_227 ),
inference(avatar_split_clause,[],[f4731,f2784,f2041,f2037,f4756,f2033]) ).
fof(f4731,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK52(sK40,sK39))
| ~ v1_funct_1(sF67)
| ~ spl73_147
| ~ spl73_227 ),
inference(resolution,[],[f2785,f2042]) ).
fof(f2042,plain,
( v1_funct_2(sF67,sF66,sF72)
| ~ spl73_147 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f4754,plain,
( ~ spl73_221
| ~ spl73_193
| spl73_432
| ~ spl73_195
| ~ spl73_227 ),
inference(avatar_split_clause,[],[f4749,f2784,f2541,f4751,f2525,f2733]) ).
fof(f4751,plain,
( spl73_432
<=> k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_432])]) ).
fof(f4749,plain,
( k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK52(sK39,sK40)))
| ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_227 ),
inference(forward_demodulation,[],[f4730,f693]) ).
fof(f4730,plain,
( ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK52(sK39,sK40),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK52(sK40,sK39))
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_227 ),
inference(resolution,[],[f2785,f2543]) ).
fof(f2543,plain,
( v1_funct_2(sK52(sK39,sK40),sF66,sF72)
| ~ spl73_195 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f4748,plain,
( ~ spl73_182
| spl73_431
| ~ spl73_154
| ~ spl73_156
| ~ spl73_227 ),
inference(avatar_split_clause,[],[f4729,f2784,f2246,f2231,f4745,f2416]) ).
fof(f4745,plain,
( spl73_431
<=> k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK39,sK40),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK52(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_431])]) ).
fof(f4729,plain,
( ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK39,sK40),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK52(sK40,sK39))
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ spl73_156
| ~ spl73_227 ),
inference(resolution,[],[f2785,f2248]) ).
fof(f2248,plain,
( v1_funct_2(sK51(sK39,sK40),sF66,sF72)
| ~ spl73_156 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f4743,plain,
( ~ spl73_345
| ~ spl73_326
| spl73_430
| ~ spl73_227
| ~ spl73_328 ),
inference(avatar_split_clause,[],[f4738,f3822,f2784,f4740,f3807,f4000]) ).
fof(f4000,plain,
( spl73_345
<=> v1_funct_1(sK50(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_345])]) ).
fof(f3807,plain,
( spl73_326
<=> m2_relset_1(sK50(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_326])]) ).
fof(f4740,plain,
( spl73_430
<=> k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK50(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_430])]) ).
fof(f3822,plain,
( spl73_328
<=> v1_funct_2(sK50(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_328])]) ).
fof(f4738,plain,
( k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK50(sK39,sK40)))
| ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_227
| ~ spl73_328 ),
inference(forward_demodulation,[],[f4728,f693]) ).
fof(f4728,plain,
( ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK50(sK39,sK40),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK52(sK40,sK39))
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_227
| ~ spl73_328 ),
inference(resolution,[],[f2785,f3824]) ).
fof(f3824,plain,
( v1_funct_2(sK50(sK39,sK40),sF66,sF72)
| ~ spl73_328 ),
inference(avatar_component_clause,[],[f3822]) ).
fof(f4737,plain,
( ~ spl73_338
| ~ spl73_322
| spl73_429
| ~ spl73_227
| ~ spl73_324 ),
inference(avatar_split_clause,[],[f4732,f3793,f2784,f4734,f3778,f3893]) ).
fof(f3893,plain,
( spl73_338
<=> v1_funct_1(sK49(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_338])]) ).
fof(f3778,plain,
( spl73_322
<=> m2_relset_1(sK49(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_322])]) ).
fof(f4734,plain,
( spl73_429
<=> k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK49(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_429])]) ).
fof(f3793,plain,
( spl73_324
<=> v1_funct_2(sK49(sK39,sK40),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_324])]) ).
fof(f4732,plain,
( k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK52(sK40,sK39)) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK52(sK40,sK39),sK49(sK39,sK40)))
| ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_227
| ~ spl73_324 ),
inference(forward_demodulation,[],[f4727,f693]) ).
fof(f4727,plain,
( ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK49(sK39,sK40),sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK52(sK40,sK39))
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_227
| ~ spl73_324 ),
inference(resolution,[],[f2785,f3795]) ).
fof(f3795,plain,
( v1_funct_2(sK49(sK39,sK40),sF66,sF72)
| ~ spl73_324 ),
inference(avatar_component_clause,[],[f3793]) ).
fof(f4719,plain,
( ~ spl73_226
| spl73_428
| ~ spl73_196
| ~ spl73_198
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f4692,f2763,f2563,f2549,f4716,f2780]) ).
fof(f4716,plain,
( spl73_428
<=> k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK52(sK40,sK39),sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_428])]) ).
fof(f4692,plain,
( ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK52(sK40,sK39),sK52(sK39,sK40)))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ spl73_198
| ~ spl73_225 ),
inference(resolution,[],[f2764,f2565]) ).
fof(f2565,plain,
( v1_funct_2(sK52(sK40,sK39),sF72,sF66)
| ~ spl73_198 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f4714,plain,
( ~ spl73_185
| spl73_427
| ~ spl73_157
| ~ spl73_159
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f4691,f2763,f2269,f2255,f4711,f2438]) ).
fof(f4711,plain,
( spl73_427
<=> k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sK51(sK40,sK39),sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_427])]) ).
fof(f4691,plain,
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sK51(sK40,sK39),sK52(sK39,sK40)))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ spl73_159
| ~ spl73_225 ),
inference(resolution,[],[f2764,f2271]) ).
fof(f2271,plain,
( v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| ~ spl73_159 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f4709,plain,
( ~ spl73_392
| ~ spl73_329
| spl73_426
| ~ spl73_225
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4704,f3847,f2763,f4706,f3831,f4427]) ).
fof(f4427,plain,
( spl73_392
<=> v1_funct_1(sK49(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_392])]) ).
fof(f3831,plain,
( spl73_329
<=> m2_relset_1(sK49(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_329])]) ).
fof(f4706,plain,
( spl73_426
<=> k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK52(sK39,sK40),sK49(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_426])]) ).
fof(f3847,plain,
( spl73_331
<=> v1_funct_2(sK49(sK40,sK39),sF72,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_331])]) ).
fof(f4704,plain,
( k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK52(sK39,sK40),sK49(sK40,sK39)))
| ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_225
| ~ spl73_331 ),
inference(forward_demodulation,[],[f4689,f693]) ).
fof(f4689,plain,
( ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK49(sK40,sK39),sK52(sK39,sK40)))
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_225
| ~ spl73_331 ),
inference(resolution,[],[f2764,f3849]) ).
fof(f3849,plain,
( v1_funct_2(sK49(sK40,sK39),sF72,sF66)
| ~ spl73_331 ),
inference(avatar_component_clause,[],[f3847]) ).
fof(f4703,plain,
( ~ spl73_119
| spl73_425
| ~ spl73_121
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f4688,f2763,f1744,f4700,f1736]) ).
fof(f4688,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| k1_waybel_1(sK39,sK40,sK41,sK52(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK52(sK39,sK40)))
| ~ v1_funct_1(sK41)
| ~ spl73_225 ),
inference(resolution,[],[f2764,f856]) ).
fof(f856,plain,
v1_funct_2(sK41,sF72,sF66),
inference(definition_folding,[],[f512,f846,f854]) ).
fof(f512,plain,
v1_funct_2(sK41,u1_struct_0(sK39),u1_struct_0(sK40)),
inference(cnf_transformation,[],[f385]) ).
fof(f4698,plain,
( ~ spl73_258
| ~ spl73_259
| spl73_424
| ~ spl73_189
| ~ spl73_225 ),
inference(avatar_split_clause,[],[f4693,f2763,f2474,f4695,f3198,f3194]) ).
fof(f4695,plain,
( spl73_424
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sF67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_424])]) ).
fof(f4693,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sK52(sK39,sK40),k1_waybel34(sK40,sK39,sF67)))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_225 ),
inference(forward_demodulation,[],[f4687,f693]) ).
fof(f4687,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK52(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(k1_waybel34(sK40,sK39,sF67),sK52(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_225 ),
inference(resolution,[],[f2764,f2482]) ).
fof(f4686,plain,
( spl73_423
| ~ spl73_418
| ~ spl73_333
| ~ spl73_126
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4657,f3877,f1793,f3861,f4660,f4683]) ).
fof(f4683,plain,
( spl73_423
<=> sP37(sK39,sK40,sK50(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_423])]) ).
fof(f4657,plain,
( ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK50(sK40,sK39))
| sP37(sK39,sK40,sK50(sK40,sK39))
| ~ spl73_126
| ~ spl73_335 ),
inference(resolution,[],[f3879,f1794]) ).
fof(f4681,plain,
( ~ spl73_333
| ~ spl73_418
| spl73_422
| ~ spl73_130
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4656,f3877,f1870,f4679,f4660,f3861]) ).
fof(f4679,plain,
( spl73_422
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK50(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK50(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_422])]) ).
fof(f4656,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK50(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK50(sK40,sK39))
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_130
| ~ spl73_335 ),
inference(resolution,[],[f3879,f1871]) ).
fof(f4677,plain,
( ~ spl73_418
| ~ spl73_333
| spl73_421
| ~ spl73_202
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4672,f3877,f2611,f4674,f3861,f4660]) ).
fof(f4674,plain,
( spl73_421
<=> k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sF67,sK50(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_421])]) ).
fof(f4672,plain,
( k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sF67,sK50(sK40,sK39)))
| ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_202
| ~ spl73_335 ),
inference(forward_demodulation,[],[f4655,f693]) ).
fof(f4655,plain,
( ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK50(sK40,sK39),sF67))
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_202
| ~ spl73_335 ),
inference(resolution,[],[f3879,f2612]) ).
fof(f4671,plain,
( ~ spl73_333
| ~ spl73_418
| spl73_420
| ~ spl73_255
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4654,f3877,f3151,f4669,f4660,f3861]) ).
fof(f4669,plain,
( spl73_420
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,sK50(sK40,sK39),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_420])]) ).
fof(f4654,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK39,sK40,sK50(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66) )
| ~ spl73_255
| ~ spl73_335 ),
inference(resolution,[],[f3879,f3152]) ).
fof(f4667,plain,
( ~ spl73_418
| ~ spl73_333
| spl73_419
| ~ spl73_201
| ~ spl73_335 ),
inference(avatar_split_clause,[],[f4658,f3877,f2607,f4664,f3861,f4660]) ).
fof(f4664,plain,
( spl73_419
<=> k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK50(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_419])]) ).
fof(f4658,plain,
( k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK50(sK40,sK39)))
| ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_201
| ~ spl73_335 ),
inference(forward_demodulation,[],[f4653,f693]) ).
fof(f4653,plain,
( ~ m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK50(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK50(sK40,sK39)),k2_tarski(sK50(sK40,sK39),sK51(sK39,sK40)))
| ~ v1_funct_1(sK50(sK40,sK39))
| ~ spl73_201
| ~ spl73_335 ),
inference(resolution,[],[f3879,f2608]) ).
fof(f4652,plain,
( ~ spl73_145
| spl73_417
| ~ spl73_146
| ~ spl73_147
| ~ spl73_204 ),
inference(avatar_split_clause,[],[f4623,f2625,f2041,f2037,f4649,f2033]) ).
fof(f4623,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sF67,sK51(sK40,sK39))
| ~ v1_funct_1(sF67)
| ~ spl73_147
| ~ spl73_204 ),
inference(resolution,[],[f2626,f2042]) ).
fof(f4647,plain,
( ~ spl73_221
| ~ spl73_193
| spl73_416
| ~ spl73_195
| ~ spl73_204 ),
inference(avatar_split_clause,[],[f4642,f2625,f2541,f4644,f2525,f2733]) ).
fof(f4644,plain,
( spl73_416
<=> k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_416])]) ).
fof(f4642,plain,
( k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK52(sK39,sK40)))
| ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_204 ),
inference(forward_demodulation,[],[f4622,f693]) ).
fof(f4622,plain,
( ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK52(sK39,sK40),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK51(sK40,sK39))
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_204 ),
inference(resolution,[],[f2626,f2543]) ).
fof(f4641,plain,
( ~ spl73_182
| ~ spl73_154
| spl73_415
| ~ spl73_156
| ~ spl73_204 ),
inference(avatar_split_clause,[],[f4636,f2625,f2246,f4638,f2231,f2416]) ).
fof(f4638,plain,
( spl73_415
<=> k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_415])]) ).
fof(f4636,plain,
( k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK51(sK39,sK40)))
| ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ spl73_156
| ~ spl73_204 ),
inference(forward_demodulation,[],[f4621,f693]) ).
fof(f4621,plain,
( ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK39,sK40),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK51(sK40,sK39))
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ spl73_156
| ~ spl73_204 ),
inference(resolution,[],[f2626,f2248]) ).
fof(f4635,plain,
( ~ spl73_345
| ~ spl73_326
| spl73_414
| ~ spl73_204
| ~ spl73_328 ),
inference(avatar_split_clause,[],[f4630,f3822,f2625,f4632,f3807,f4000]) ).
fof(f4632,plain,
( spl73_414
<=> k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK50(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_414])]) ).
fof(f4630,plain,
( k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK50(sK39,sK40)))
| ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_204
| ~ spl73_328 ),
inference(forward_demodulation,[],[f4620,f693]) ).
fof(f4620,plain,
( ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK50(sK39,sK40),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK51(sK40,sK39))
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_204
| ~ spl73_328 ),
inference(resolution,[],[f2626,f3824]) ).
fof(f4629,plain,
( ~ spl73_338
| ~ spl73_322
| spl73_413
| ~ spl73_204
| ~ spl73_324 ),
inference(avatar_split_clause,[],[f4624,f3793,f2625,f4626,f3778,f3893]) ).
fof(f4626,plain,
( spl73_413
<=> k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK49(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_413])]) ).
fof(f4624,plain,
( k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK51(sK40,sK39)) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK51(sK40,sK39),sK49(sK39,sK40)))
| ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_204
| ~ spl73_324 ),
inference(forward_demodulation,[],[f4619,f693]) ).
fof(f4619,plain,
( ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK49(sK39,sK40),sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK51(sK40,sK39))
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_204
| ~ spl73_324 ),
inference(resolution,[],[f2626,f3795]) ).
fof(f4617,plain,
( ~ spl73_226
| ~ spl73_196
| spl73_412
| ~ spl73_198
| ~ spl73_201 ),
inference(avatar_split_clause,[],[f4612,f2607,f2563,f4614,f2549,f2780]) ).
fof(f4614,plain,
( spl73_412
<=> k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_412])]) ).
fof(f4612,plain,
( k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK52(sK40,sK39)))
| ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ spl73_198
| ~ spl73_201 ),
inference(forward_demodulation,[],[f4589,f693]) ).
fof(f4589,plain,
( ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK52(sK40,sK39),sK51(sK39,sK40)))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ spl73_198
| ~ spl73_201 ),
inference(resolution,[],[f2608,f2565]) ).
fof(f4611,plain,
( ~ spl73_185
| spl73_411
| ~ spl73_157
| ~ spl73_159
| ~ spl73_201 ),
inference(avatar_split_clause,[],[f4588,f2607,f2269,f2255,f4608,f2438]) ).
fof(f4608,plain,
( spl73_411
<=> k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sK51(sK40,sK39),sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_411])]) ).
fof(f4588,plain,
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sK51(sK40,sK39),sK51(sK39,sK40)))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ spl73_159
| ~ spl73_201 ),
inference(resolution,[],[f2608,f2271]) ).
fof(f4606,plain,
( ~ spl73_392
| ~ spl73_329
| spl73_410
| ~ spl73_201
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4601,f3847,f2607,f4603,f3831,f4427]) ).
fof(f4603,plain,
( spl73_410
<=> k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK49(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_410])]) ).
fof(f4601,plain,
( k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK51(sK39,sK40),sK49(sK40,sK39)))
| ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_201
| ~ spl73_331 ),
inference(forward_demodulation,[],[f4587,f693]) ).
fof(f4587,plain,
( ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK49(sK40,sK39),sK51(sK39,sK40)))
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_201
| ~ spl73_331 ),
inference(resolution,[],[f2608,f3849]) ).
fof(f4600,plain,
( ~ spl73_119
| spl73_409
| ~ spl73_121
| ~ spl73_201 ),
inference(avatar_split_clause,[],[f4586,f2607,f1744,f4597,f1736]) ).
fof(f4586,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| k1_waybel_1(sK39,sK40,sK41,sK51(sK39,sK40)) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sK51(sK39,sK40)))
| ~ v1_funct_1(sK41)
| ~ spl73_201 ),
inference(resolution,[],[f2608,f856]) ).
fof(f4595,plain,
( ~ spl73_258
| ~ spl73_259
| spl73_408
| ~ spl73_189
| ~ spl73_201 ),
inference(avatar_split_clause,[],[f4590,f2607,f2474,f4592,f3198,f3194]) ).
fof(f4592,plain,
( spl73_408
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sF67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_408])]) ).
fof(f4590,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sK51(sK39,sK40),k1_waybel34(sK40,sK39,sF67)))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_201 ),
inference(forward_demodulation,[],[f4585,f693]) ).
fof(f4585,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sK51(sK39,sK40)) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(k1_waybel34(sK40,sK39,sF67),sK51(sK39,sK40)))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_201 ),
inference(resolution,[],[f2608,f2482]) ).
fof(f4576,plain,
( ~ spl73_145
| spl73_406
| spl73_407
| ~ spl73_117
| ~ spl73_118
| ~ spl73_402 ),
inference(avatar_split_clause,[],[f4568,f4542,f1683,f1676,f4573,f4570,f2033]) ).
fof(f4570,plain,
( spl73_406
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ m2_relset_1(sF67,X0,sF66)
| ~ v1_funct_2(sF67,X0,sF66)
| ~ m1_subset_1(sK42,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_406])]) ).
fof(f4573,plain,
( spl73_407
<=> m1_subset_1(sF68,sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_407])]) ).
fof(f1676,plain,
( spl73_117
<=> ! [X2,X1,X3] :
( ~ m2_relset_1(X3,X2,sF66)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,sF66)
| m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_117])]) ).
fof(f4542,plain,
( spl73_402
<=> sF68 = k1_funct_1(sF67,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_402])]) ).
fof(f4568,plain,
( ! [X0] :
( m1_subset_1(sF68,sF66)
| v1_xboole_0(X0)
| ~ v1_funct_1(sF67)
| ~ m1_subset_1(sK42,X0)
| ~ v1_funct_2(sF67,X0,sF66)
| ~ m2_relset_1(sF67,X0,sF66) )
| ~ spl73_117
| ~ spl73_118
| ~ spl73_402 ),
inference(superposition,[],[f3164,f4544]) ).
fof(f4544,plain,
( sF68 = k1_funct_1(sF67,sK42)
| ~ spl73_402 ),
inference(avatar_component_clause,[],[f4542]) ).
fof(f3164,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_funct_1(X1,X2),sF66)
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m2_relset_1(X1,X0,sF66) )
| ~ spl73_117
| ~ spl73_118 ),
inference(duplicate_literal_removal,[],[f3163]) ).
fof(f3163,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_funct_1(X1,X2),sF66)
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m2_relset_1(X1,X0,sF66)
| v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,sF66)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66) )
| ~ spl73_117
| ~ spl73_118 ),
inference(superposition,[],[f1677,f1684]) ).
fof(f1677,plain,
( ! [X2,X3,X1] :
( m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),sF66)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,sF66)
| ~ m2_relset_1(X3,X2,sF66) )
| ~ spl73_117 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f4567,plain,
( spl73_32
| ~ spl73_112
| spl73_405
| ~ spl73_116
| ~ spl73_117 ),
inference(avatar_split_clause,[],[f4563,f1676,f1668,f4565,f1636,f1088]) ).
fof(f4565,plain,
( spl73_405
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k7_yellow_2(X0,sK40,X1,X2),sF66)
| v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,sF66)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| m1_subset_1(k1_tarski(k7_yellow_2(X0,sK40,X1,X2)),k1_zfmisc_1(sF66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_405])]) ).
fof(f4563,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k7_yellow_2(X0,sK40,X1,X2),sF66)
| m1_subset_1(k1_tarski(k7_yellow_2(X0,sK40,X1,X2)),k1_zfmisc_1(sF66))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m2_relset_1(X1,X0,sF66)
| v1_xboole_0(X0)
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116
| ~ spl73_117 ),
inference(forward_demodulation,[],[f4561,f846]) ).
fof(f4561,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_tarski(k7_yellow_2(X0,sK40,X1,X2)),k1_zfmisc_1(sF66))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m2_relset_1(X1,X0,sF66)
| v1_xboole_0(X0)
| ~ m1_subset_1(k7_yellow_2(X0,sK40,X1,X2),u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116
| ~ spl73_117 ),
inference(superposition,[],[f3070,f703]) ).
fof(f3070,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_struct_0(sK40,k7_yellow_2(X0,sK40,X1,X2)),k1_zfmisc_1(sF66))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_2(X1,X0,sF66)
| ~ m2_relset_1(X1,X0,sF66)
| v1_xboole_0(X0) )
| ~ spl73_116
| ~ spl73_117 ),
inference(resolution,[],[f1677,f1669]) ).
fof(f4554,plain,
( spl73_169
| ~ spl73_61
| spl73_404
| ~ spl73_24
| ~ spl73_173 ),
inference(avatar_split_clause,[],[f4539,f2361,f1008,f4552,f1260,f2333]) ).
fof(f4552,plain,
( spl73_404
<=> ! [X4] :
( ~ r3_waybel_1(sK39,k1_funct_1(X4,sK47(sK39,sK51(sK39,sK39),sK39,X4)),k5_pre_topc(sK39,sK39,sK51(sK39,sK39),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,sK39),sK39,X4))))
| ~ v1_funct_2(X4,sF72,sF72)
| ~ m1_subset_1(sK47(sK39,sK51(sK39,sK39),sK39,X4),sF72)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,sF72,sF72)
| sP23(sK39,sK51(sK39,sK39),sK39,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_404])]) ).
fof(f1008,plain,
( spl73_24
<=> ! [X21] :
( sP34(sK39,X21)
| ~ l1_orders_2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_24])]) ).
fof(f4539,plain,
( ! [X4] :
( ~ r3_waybel_1(sK39,k1_funct_1(X4,sK47(sK39,sK51(sK39,sK39),sK39,X4)),k5_pre_topc(sK39,sK39,sK51(sK39,sK39),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,sK39),sK39,X4))))
| ~ l1_orders_2(sK39)
| sP23(sK39,sK51(sK39,sK39),sK39,X4)
| v1_xboole_0(sF72)
| ~ m2_relset_1(X4,sF72,sF72)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(sK47(sK39,sK51(sK39,sK39),sK39,X4),sF72)
| ~ v1_funct_2(X4,sF72,sF72) )
| ~ spl73_24
| ~ spl73_173 ),
inference(superposition,[],[f2167,f2362]) ).
fof(f2167,plain,
( ! [X2,X3] :
( ~ r3_waybel_1(X2,k7_yellow_2(sF72,X2,X3,sK47(sK39,sK51(sK39,X2),X2,X3)),k5_pre_topc(X2,sK39,sK51(sK39,X2),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,X2),X2,X3))))
| ~ l1_orders_2(X2)
| sP23(sK39,sK51(sK39,X2),X2,X3) )
| ~ spl73_24 ),
inference(forward_demodulation,[],[f2165,f854]) ).
fof(f2165,plain,
( ! [X2,X3] :
( ~ l1_orders_2(X2)
| ~ r3_waybel_1(X2,k7_yellow_2(u1_struct_0(sK39),X2,X3,sK47(sK39,sK51(sK39,X2),X2,X3)),k5_pre_topc(X2,sK39,sK51(sK39,X2),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,X2),X2,X3))))
| sP23(sK39,sK51(sK39,X2),X2,X3) )
| ~ spl73_24 ),
inference(resolution,[],[f1404,f685]) ).
fof(f1404,plain,
( ! [X2] :
( v5_orders_3(sK51(sK39,X2),X2,sK39)
| ~ l1_orders_2(X2) )
| ~ spl73_24 ),
inference(resolution,[],[f1009,f766]) ).
fof(f1009,plain,
( ! [X21] :
( sP34(sK39,X21)
| ~ l1_orders_2(X21) )
| ~ spl73_24 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f4550,plain,
( spl73_114
| ~ spl73_61
| spl73_403
| ~ spl73_54
| ~ spl73_173 ),
inference(avatar_split_clause,[],[f4537,f2361,f1208,f4548,f1260,f1655]) ).
fof(f4548,plain,
( spl73_403
<=> ! [X0] :
( ~ r3_waybel_1(sK39,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK39),sK39,X0)),k5_pre_topc(sK39,sK40,sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X0))))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X0),sF66)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF72)
| sP23(sK40,sK51(sK40,sK39),sK39,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_403])]) ).
fof(f4537,plain,
( ! [X0] :
( ~ r3_waybel_1(sK39,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK39),sK39,X0)),k5_pre_topc(sK39,sK40,sK51(sK40,sK39),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK39),sK39,X0))))
| ~ l1_orders_2(sK39)
| sP23(sK40,sK51(sK40,sK39),sK39,X0)
| v1_xboole_0(sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK39),sK39,X0),sF66)
| ~ v1_funct_2(X0,sF66,sF72) )
| ~ spl73_54
| ~ spl73_173 ),
inference(superposition,[],[f2176,f2362]) ).
fof(f4546,plain,
( ~ spl73_147
| ~ spl73_101
| ~ spl73_145
| ~ spl73_146
| spl73_114
| spl73_402
| ~ spl73_173 ),
inference(avatar_split_clause,[],[f4536,f2361,f4542,f1655,f2037,f2033,f1547,f2041]) ).
fof(f4536,plain,
( sF68 = k1_funct_1(sF67,sK42)
| v1_xboole_0(sF66)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ m1_subset_1(sK42,sF66)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ spl73_173 ),
inference(superposition,[],[f848,f2362]) ).
fof(f4545,plain,
( ~ spl73_147
| ~ spl73_101
| ~ spl73_145
| ~ spl73_146
| spl73_114
| spl73_402
| ~ spl73_173 ),
inference(avatar_split_clause,[],[f4535,f2361,f4542,f1655,f2037,f2033,f1547,f2041]) ).
fof(f4535,plain,
( sF68 = k1_funct_1(sF67,sK42)
| v1_xboole_0(sF66)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ m1_subset_1(sK42,sF66)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ spl73_173 ),
inference(superposition,[],[f2362,f848]) ).
fof(f4534,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_84
| spl73_398 ),
inference(avatar_split_clause,[],[f4533,f4498,f1456,f1088,f1301]) ).
fof(f4533,plain,
( v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_84
| spl73_398 ),
inference(resolution,[],[f4515,f1457]) ).
fof(f4515,plain,
( ~ sP27(sK40,sK40)
| spl73_398 ),
inference(resolution,[],[f4500,f715]) ).
fof(f715,plain,
! [X0,X1] :
( v1_funct_1(sK49(X0,X1))
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f443]) ).
fof(f4500,plain,
( ~ v1_funct_1(sK49(sK40,sK40))
| spl73_398 ),
inference(avatar_component_clause,[],[f4498]) ).
fof(f4513,plain,
( spl73_401
| ~ spl73_398
| ~ spl73_330
| ~ spl73_127
| ~ spl73_332 ),
inference(avatar_split_clause,[],[f4496,f3852,f1797,f3836,f4498,f4510]) ).
fof(f4510,plain,
( spl73_401
<=> sP37(sK40,sK40,sK49(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_401])]) ).
fof(f4496,plain,
( ~ m2_relset_1(sK49(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK49(sK40,sK40))
| sP37(sK40,sK40,sK49(sK40,sK40))
| ~ spl73_127
| ~ spl73_332 ),
inference(resolution,[],[f3854,f1798]) ).
fof(f4508,plain,
( ~ spl73_330
| spl73_400
| ~ spl73_398
| ~ spl73_131
| ~ spl73_332 ),
inference(avatar_split_clause,[],[f4495,f3852,f1874,f4498,f4506,f3836]) ).
fof(f4506,plain,
( spl73_400
<=> ! [X1] :
( ~ v1_funct_1(X1)
| k2_tarski(k1_tarski(sK49(sK40,sK40)),k2_tarski(sK49(sK40,sK40),X1)) = k1_waybel_1(sK40,sK40,sK49(sK40,sK40),X1)
| ~ m2_relset_1(X1,sF66,sF66)
| ~ v1_funct_2(X1,sF66,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_400])]) ).
fof(f4495,plain,
( ! [X1] :
( ~ v1_funct_1(sK49(sK40,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF66,sF66)
| ~ m2_relset_1(X1,sF66,sF66)
| k2_tarski(k1_tarski(sK49(sK40,sK40)),k2_tarski(sK49(sK40,sK40),X1)) = k1_waybel_1(sK40,sK40,sK49(sK40,sK40),X1)
| ~ m2_relset_1(sK49(sK40,sK40),sF66,sF66) )
| ~ spl73_131
| ~ spl73_332 ),
inference(resolution,[],[f3854,f1875]) ).
fof(f4504,plain,
( ~ spl73_330
| ~ spl73_398
| spl73_399
| ~ spl73_256
| ~ spl73_332 ),
inference(avatar_split_clause,[],[f4494,f3852,f3155,f4502,f4498,f3836]) ).
fof(f4502,plain,
( spl73_399
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK40,sK40,sK49(sK40,sK40),X0),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_399])]) ).
fof(f4494,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK40,sK40,sK49(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK49(sK40,sK40))
| ~ m2_relset_1(sK49(sK40,sK40),sF66,sF66) )
| ~ spl73_256
| ~ spl73_332 ),
inference(resolution,[],[f3854,f3156]) ).
fof(f4483,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_84
| spl73_392 ),
inference(avatar_split_clause,[],[f4482,f4427,f1456,f888,f1260]) ).
fof(f4482,plain,
( v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_84
| spl73_392 ),
inference(resolution,[],[f4470,f1457]) ).
fof(f4470,plain,
( ~ sP27(sK40,sK39)
| spl73_392 ),
inference(resolution,[],[f4429,f715]) ).
fof(f4429,plain,
( ~ v1_funct_1(sK49(sK40,sK39))
| spl73_392 ),
inference(avatar_component_clause,[],[f4427]) ).
fof(f4459,plain,
( ~ spl73_146
| ~ spl73_147
| ~ spl73_101
| ~ spl73_145
| spl73_114
| spl73_397
| ~ spl73_172 ),
inference(avatar_split_clause,[],[f4454,f2354,f4456,f1655,f2033,f1547,f2041,f2037]) ).
fof(f2354,plain,
( spl73_172
<=> ! [X2,X1,X3] :
( ~ m2_relset_1(X3,X2,sF72)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,sF72)
| m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_172])]) ).
fof(f4454,plain,
( m1_subset_1(sF68,sF72)
| v1_xboole_0(sF66)
| ~ v1_funct_1(sF67)
| ~ m1_subset_1(sK42,sF66)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ spl73_172 ),
inference(superposition,[],[f2355,f848]) ).
fof(f2355,plain,
( ! [X2,X3,X1] :
( m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),sF72)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,sF72)
| ~ m2_relset_1(X3,X2,sF72) )
| ~ spl73_172 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f4448,plain,
( spl73_396
| ~ spl73_392
| ~ spl73_329
| ~ spl73_126
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4425,f3847,f1793,f3831,f4427,f4445]) ).
fof(f4445,plain,
( spl73_396
<=> sP37(sK39,sK40,sK49(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_396])]) ).
fof(f4425,plain,
( ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK49(sK40,sK39))
| sP37(sK39,sK40,sK49(sK40,sK39))
| ~ spl73_126
| ~ spl73_331 ),
inference(resolution,[],[f3849,f1794]) ).
fof(f4443,plain,
( ~ spl73_329
| ~ spl73_392
| spl73_395
| ~ spl73_130
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4424,f3847,f1870,f4441,f4427,f3831]) ).
fof(f4441,plain,
( spl73_395
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK49(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK49(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_395])]) ).
fof(f4424,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK49(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK49(sK40,sK39))
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_130
| ~ spl73_331 ),
inference(resolution,[],[f3849,f1871]) ).
fof(f4439,plain,
( ~ spl73_392
| ~ spl73_329
| spl73_394
| ~ spl73_202
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4434,f3847,f2611,f4436,f3831,f4427]) ).
fof(f4436,plain,
( spl73_394
<=> k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sF67,sK49(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_394])]) ).
fof(f4434,plain,
( k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sF67,sK49(sK40,sK39)))
| ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_202
| ~ spl73_331 ),
inference(forward_demodulation,[],[f4423,f693]) ).
fof(f4423,plain,
( ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK49(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK49(sK40,sK39)),k2_tarski(sK49(sK40,sK39),sF67))
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ spl73_202
| ~ spl73_331 ),
inference(resolution,[],[f3849,f2612]) ).
fof(f4433,plain,
( ~ spl73_329
| ~ spl73_392
| spl73_393
| ~ spl73_255
| ~ spl73_331 ),
inference(avatar_split_clause,[],[f4422,f3847,f3151,f4431,f4427,f3831]) ).
fof(f4431,plain,
( spl73_393
<=> ! [X0] : m1_subset_1(k5_pre_topc(sK39,sK40,sK49(sK40,sK39),X0),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_393])]) ).
fof(f4422,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK39,sK40,sK49(sK40,sK39),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK49(sK40,sK39))
| ~ m2_relset_1(sK49(sK40,sK39),sF72,sF66) )
| ~ spl73_255
| ~ spl73_331 ),
inference(resolution,[],[f3849,f3152]) ).
fof(f4416,plain,
( ~ spl73_197
| ~ spl73_230
| spl73_391
| ~ spl73_199
| ~ spl73_256 ),
inference(avatar_split_clause,[],[f4408,f3155,f2568,f4414,f2798,f2554]) ).
fof(f4408,plain,
( ! [X1] :
( m1_subset_1(k5_pre_topc(sK40,sK40,sK52(sK40,sK40),X1),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK52(sK40,sK40))
| ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66) )
| ~ spl73_199
| ~ spl73_256 ),
inference(resolution,[],[f3156,f2570]) ).
fof(f4412,plain,
( ~ spl73_158
| ~ spl73_191
| spl73_390
| ~ spl73_160
| ~ spl73_256 ),
inference(avatar_split_clause,[],[f4407,f3155,f2274,f4410,f2499,f2260]) ).
fof(f4407,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK40,sK40,sK51(sK40,sK40),X0),k1_zfmisc_1(sF66))
| ~ v1_funct_1(sK51(sK40,sK40))
| ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66) )
| ~ spl73_160
| ~ spl73_256 ),
inference(resolution,[],[f3156,f2276]) ).
fof(f4405,plain,
( ~ spl73_196
| ~ spl73_226
| spl73_389
| ~ spl73_198
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f4389,f3151,f2563,f4403,f2780,f2549]) ).
fof(f4389,plain,
( ! [X3] :
( m1_subset_1(k5_pre_topc(sK39,sK40,sK52(sK40,sK39),X3),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66) )
| ~ spl73_198
| ~ spl73_255 ),
inference(resolution,[],[f3152,f2565]) ).
fof(f4401,plain,
( ~ spl73_157
| ~ spl73_185
| spl73_388
| ~ spl73_159
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f4388,f3151,f2269,f4399,f2438,f2255]) ).
fof(f4388,plain,
( ! [X2] :
( m1_subset_1(k5_pre_topc(sK39,sK40,sK51(sK40,sK39),X2),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66) )
| ~ spl73_159
| ~ spl73_255 ),
inference(resolution,[],[f3152,f2271]) ).
fof(f4397,plain,
( ~ spl73_121
| ~ spl73_119
| spl73_387
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f4387,f3151,f4395,f1736,f1744]) ).
fof(f4387,plain,
( ! [X1] :
( m1_subset_1(k5_pre_topc(sK39,sK40,sK41,X1),k1_zfmisc_1(sF72))
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,sF72,sF66) )
| ~ spl73_255 ),
inference(resolution,[],[f3152,f856]) ).
fof(f4393,plain,
( ~ spl73_259
| ~ spl73_258
| spl73_386
| ~ spl73_189
| ~ spl73_255 ),
inference(avatar_split_clause,[],[f4386,f3151,f2474,f4391,f3194,f3198]) ).
fof(f4386,plain,
( ! [X0] :
( m1_subset_1(k5_pre_topc(sK39,sK40,k1_waybel34(sK40,sK39,sF67),X0),k1_zfmisc_1(sF72))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66) )
| ~ spl73_189
| ~ spl73_255 ),
inference(resolution,[],[f3152,f2482]) ).
fof(f4385,plain,
( ~ spl73_326
| ~ spl73_345
| spl73_385
| ~ spl73_129
| ~ spl73_328 ),
inference(avatar_split_clause,[],[f4375,f3822,f1852,f4383,f4000,f3807]) ).
fof(f4383,plain,
( spl73_385
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK50(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK50(sK39,sK40)))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_385])]) ).
fof(f4375,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,sK50(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK50(sK39,sK40)))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_328 ),
inference(resolution,[],[f3824,f1853]) ).
fof(f4381,plain,
( ~ spl73_345
| ~ spl73_326
| spl73_384
| ~ spl73_203
| ~ spl73_328 ),
inference(avatar_split_clause,[],[f4376,f3822,f2621,f4378,f3807,f4000]) ).
fof(f4378,plain,
( spl73_384
<=> k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK41,sK50(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_384])]) ).
fof(f4376,plain,
( k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK41,sK50(sK39,sK40)))
| ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_203
| ~ spl73_328 ),
inference(forward_demodulation,[],[f4374,f693]) ).
fof(f4374,plain,
( ~ m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK50(sK39,sK40)),k2_tarski(sK50(sK39,sK40),sK41)) = k1_waybel_1(sK40,sK39,sK50(sK39,sK40),sK41)
| ~ v1_funct_1(sK50(sK39,sK40))
| ~ spl73_203
| ~ spl73_328 ),
inference(resolution,[],[f3824,f2622]) ).
fof(f4362,plain,
~ spl73_378,
inference(avatar_contradiction_clause,[],[f4356]) ).
fof(f4356,plain,
( $false
| ~ spl73_378 ),
inference(resolution,[],[f4275,f523]) ).
fof(f523,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( v1_finset_1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc1_finset_1) ).
fof(f4275,plain,
( v1_xboole_0(k1_tarski(sK52(sK39,sK40)))
| ~ spl73_378 ),
inference(avatar_component_clause,[],[f4273]) ).
fof(f4343,plain,
~ spl73_372,
inference(avatar_contradiction_clause,[],[f4337]) ).
fof(f4337,plain,
( $false
| ~ spl73_372 ),
inference(resolution,[],[f4244,f523]) ).
fof(f4244,plain,
( v1_xboole_0(k1_tarski(sK51(sK39,sK40)))
| ~ spl73_372 ),
inference(avatar_component_clause,[],[f4242]) ).
fof(f4324,plain,
~ spl73_366,
inference(avatar_contradiction_clause,[],[f4318]) ).
fof(f4318,plain,
( $false
| ~ spl73_366 ),
inference(resolution,[],[f4211,f523]) ).
fof(f4211,plain,
( v1_xboole_0(k1_tarski(sK52(sK40,sK39)))
| ~ spl73_366 ),
inference(avatar_component_clause,[],[f4209]) ).
fof(f4305,plain,
~ spl73_360,
inference(avatar_contradiction_clause,[],[f4299]) ).
fof(f4299,plain,
( $false
| ~ spl73_360 ),
inference(resolution,[],[f4173,f523]) ).
fof(f4173,plain,
( v1_xboole_0(k1_tarski(sK51(sK40,sK39)))
| ~ spl73_360 ),
inference(avatar_component_clause,[],[f4171]) ).
fof(f4297,plain,
( ~ spl73_381
| ~ spl73_382
| spl73_383
| ~ spl73_251 ),
inference(avatar_split_clause,[],[f4271,f3113,f4294,f4290,f4286]) ).
fof(f4286,plain,
( spl73_381
<=> v1_xcmplx_0(k1_tarski(sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_381])]) ).
fof(f4290,plain,
( spl73_382
<=> v1_xcmplx_0(k2_tarski(sK41,sK52(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_382])]) ).
fof(f4294,plain,
( spl73_383
<=> v1_membered(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_383])]) ).
fof(f4271,plain,
( v1_membered(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| ~ v1_xcmplx_0(k2_tarski(sK41,sK52(sK39,sK40)))
| ~ v1_xcmplx_0(k1_tarski(sK52(sK39,sK40)))
| ~ spl73_251 ),
inference(superposition,[],[f769,f3115]) ).
fof(f769,plain,
! [X0,X1] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1] :
( ( v1_xcmplx_0(X1)
& v1_xcmplx_0(X0) )
=> v1_membered(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc12_membered) ).
fof(f4284,plain,
( spl73_378
| spl73_379
| spl73_380
| ~ spl73_251 ),
inference(avatar_split_clause,[],[f4270,f3113,f4281,f4277,f4273]) ).
fof(f4270,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41))
| v1_xboole_0(k2_tarski(sK41,sK52(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK52(sK39,sK40)))
| ~ spl73_251 ),
inference(superposition,[],[f702,f3115]) ).
fof(f4266,plain,
( ~ spl73_375
| ~ spl73_376
| spl73_377
| ~ spl73_250 ),
inference(avatar_split_clause,[],[f4240,f3107,f4263,f4259,f4255]) ).
fof(f4255,plain,
( spl73_375
<=> v1_xcmplx_0(k1_tarski(sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_375])]) ).
fof(f4259,plain,
( spl73_376
<=> v1_xcmplx_0(k2_tarski(sK41,sK51(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_376])]) ).
fof(f4263,plain,
( spl73_377
<=> v1_membered(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_377])]) ).
fof(f4240,plain,
( v1_membered(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| ~ v1_xcmplx_0(k2_tarski(sK41,sK51(sK39,sK40)))
| ~ v1_xcmplx_0(k1_tarski(sK51(sK39,sK40)))
| ~ spl73_250 ),
inference(superposition,[],[f769,f3109]) ).
fof(f4253,plain,
( spl73_372
| spl73_373
| spl73_374
| ~ spl73_250 ),
inference(avatar_split_clause,[],[f4239,f3107,f4250,f4246,f4242]) ).
fof(f4239,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41))
| v1_xboole_0(k2_tarski(sK41,sK51(sK39,sK40)))
| v1_xboole_0(k1_tarski(sK51(sK39,sK40)))
| ~ spl73_250 ),
inference(superposition,[],[f702,f3109]) ).
fof(f4235,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_78
| spl73_358 ),
inference(avatar_split_clause,[],[f4234,f4156,f1413,f888,f1260]) ).
fof(f4234,plain,
( v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_78
| spl73_358 ),
inference(resolution,[],[f4196,f1414]) ).
fof(f4196,plain,
( ~ sP28(sK39,sK39)
| spl73_358 ),
inference(resolution,[],[f4158,f723]) ).
fof(f4158,plain,
( ~ v1_funct_1(sK50(sK39,sK39))
| spl73_358 ),
inference(avatar_component_clause,[],[f4156]) ).
fof(f4233,plain,
( ~ spl73_369
| ~ spl73_370
| spl73_371
| ~ spl73_249 ),
inference(avatar_split_clause,[],[f4207,f3096,f4230,f4226,f4222]) ).
fof(f4222,plain,
( spl73_369
<=> v1_xcmplx_0(k1_tarski(sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_369])]) ).
fof(f4226,plain,
( spl73_370
<=> v1_xcmplx_0(k2_tarski(sF67,sK52(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_370])]) ).
fof(f4230,plain,
( spl73_371
<=> v1_membered(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_371])]) ).
fof(f4207,plain,
( v1_membered(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| ~ v1_xcmplx_0(k2_tarski(sF67,sK52(sK40,sK39)))
| ~ v1_xcmplx_0(k1_tarski(sK52(sK40,sK39)))
| ~ spl73_249 ),
inference(superposition,[],[f769,f3098]) ).
fof(f4220,plain,
( spl73_366
| spl73_367
| spl73_368
| ~ spl73_249 ),
inference(avatar_split_clause,[],[f4206,f3096,f4217,f4213,f4209]) ).
fof(f4206,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67))
| v1_xboole_0(k2_tarski(sF67,sK52(sK40,sK39)))
| v1_xboole_0(k1_tarski(sK52(sK40,sK39)))
| ~ spl73_249 ),
inference(superposition,[],[f702,f3098]) ).
fof(f4195,plain,
( ~ spl73_363
| ~ spl73_364
| spl73_365
| ~ spl73_248 ),
inference(avatar_split_clause,[],[f4169,f3090,f4192,f4188,f4184]) ).
fof(f4184,plain,
( spl73_363
<=> v1_xcmplx_0(k1_tarski(sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_363])]) ).
fof(f4188,plain,
( spl73_364
<=> v1_xcmplx_0(k2_tarski(sF67,sK51(sK40,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_364])]) ).
fof(f4192,plain,
( spl73_365
<=> v1_membered(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_365])]) ).
fof(f4169,plain,
( v1_membered(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| ~ v1_xcmplx_0(k2_tarski(sF67,sK51(sK40,sK39)))
| ~ v1_xcmplx_0(k1_tarski(sK51(sK40,sK39)))
| ~ spl73_248 ),
inference(superposition,[],[f769,f3092]) ).
fof(f4182,plain,
( spl73_360
| spl73_361
| spl73_362
| ~ spl73_248 ),
inference(avatar_split_clause,[],[f4168,f3090,f4179,f4175,f4171]) ).
fof(f4168,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67))
| v1_xboole_0(k2_tarski(sF67,sK51(sK40,sK39)))
| v1_xboole_0(k1_tarski(sK51(sK40,sK39)))
| ~ spl73_248 ),
inference(superposition,[],[f702,f3092]) ).
fof(f4164,plain,
( spl73_359
| ~ spl73_358
| ~ spl73_325
| ~ spl73_124
| ~ spl73_327 ),
inference(avatar_split_clause,[],[f4151,f3817,f1775,f3802,f4156,f4161]) ).
fof(f4161,plain,
( spl73_359
<=> sP37(sK39,sK39,sK50(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_359])]) ).
fof(f4151,plain,
( ~ m2_relset_1(sK50(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK50(sK39,sK39))
| sP37(sK39,sK39,sK50(sK39,sK39))
| ~ spl73_124
| ~ spl73_327 ),
inference(resolution,[],[f3819,f1776]) ).
fof(f4159,plain,
( ~ spl73_325
| spl73_357
| ~ spl73_358
| ~ spl73_128
| ~ spl73_327 ),
inference(avatar_split_clause,[],[f4150,f3817,f1848,f4156,f4153,f3802]) ).
fof(f4153,plain,
( spl73_357
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK50(sK39,sK39)),k2_tarski(sK50(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK50(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_357])]) ).
fof(f4150,plain,
( ! [X0] :
( ~ v1_funct_1(sK50(sK39,sK39))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK50(sK39,sK39)),k2_tarski(sK50(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK50(sK39,sK39),X0)
| ~ m2_relset_1(sK50(sK39,sK39),sF72,sF72) )
| ~ spl73_128
| ~ spl73_327 ),
inference(resolution,[],[f3819,f1849]) ).
fof(f4138,plain,
( spl73_353
| ~ spl73_355 ),
inference(avatar_split_clause,[],[f4130,f4122,f4085]) ).
fof(f4130,plain,
( v1_xboole_0(sF67)
| ~ spl73_355 ),
inference(resolution,[],[f4124,f525]) ).
fof(f525,plain,
! [X0] :
( ~ v1_xboole_0(k1_tarski(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( v1_setfam_1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( v1_setfam_1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc2_setfam_1) ).
fof(f4124,plain,
( v1_xboole_0(k1_tarski(sF67))
| ~ spl73_355 ),
inference(avatar_component_clause,[],[f4122]) ).
fof(f4137,plain,
~ spl73_355,
inference(avatar_contradiction_clause,[],[f4131]) ).
fof(f4131,plain,
( $false
| ~ spl73_355 ),
inference(resolution,[],[f4124,f523]) ).
fof(f4129,plain,
( spl73_355
| spl73_348
| spl73_356
| ~ spl73_252 ),
inference(avatar_split_clause,[],[f4119,f3118,f4126,f4036,f4122]) ).
fof(f4036,plain,
( spl73_348
<=> v1_xboole_0(k2_tarski(sF67,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_348])]) ).
fof(f4119,plain,
( v1_setfam_1(k1_waybel_1(sK40,sK39,sF67,sK41))
| v1_xboole_0(k2_tarski(sF67,sK41))
| v1_xboole_0(k1_tarski(sF67))
| ~ spl73_252 ),
inference(superposition,[],[f702,f3120]) ).
fof(f4106,plain,
( spl73_347
| spl73_348
| spl73_349
| ~ spl73_247 ),
inference(avatar_split_clause,[],[f4074,f3084,f4040,f4036,f4032]) ).
fof(f4074,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sF67))
| v1_xboole_0(k2_tarski(sF67,sK41))
| v1_xboole_0(k1_tarski(sK41))
| ~ spl73_247 ),
inference(superposition,[],[f702,f3086]) ).
fof(f4092,plain,
( spl73_353
| spl73_354
| ~ spl73_348 ),
inference(avatar_split_clause,[],[f4076,f4036,f4089,f4085]) ).
fof(f4076,plain,
( v1_xboole_0(sK41)
| v1_xboole_0(sF67)
| ~ spl73_348 ),
inference(resolution,[],[f4038,f701]) ).
fof(f4038,plain,
( v1_xboole_0(k2_tarski(sF67,sK41))
| ~ spl73_348 ),
inference(avatar_component_clause,[],[f4036]) ).
fof(f4083,plain,
~ spl73_348,
inference(avatar_contradiction_clause,[],[f4077]) ).
fof(f4077,plain,
( $false
| ~ spl73_348 ),
inference(resolution,[],[f4038,f695]) ).
fof(f4064,plain,
~ spl73_347,
inference(avatar_contradiction_clause,[],[f4058]) ).
fof(f4058,plain,
( $false
| ~ spl73_347 ),
inference(resolution,[],[f4034,f523]) ).
fof(f4034,plain,
( v1_xboole_0(k1_tarski(sK41))
| ~ spl73_347 ),
inference(avatar_component_clause,[],[f4032]) ).
fof(f4056,plain,
( ~ spl73_350
| ~ spl73_351
| spl73_352
| ~ spl73_247 ),
inference(avatar_split_clause,[],[f4030,f3084,f4053,f4049,f4045]) ).
fof(f4045,plain,
( spl73_350
<=> v1_xcmplx_0(k1_tarski(sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_350])]) ).
fof(f4049,plain,
( spl73_351
<=> v1_xcmplx_0(k2_tarski(sF67,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_351])]) ).
fof(f4053,plain,
( spl73_352
<=> v1_membered(k1_waybel_1(sK39,sK40,sK41,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_352])]) ).
fof(f4030,plain,
( v1_membered(k1_waybel_1(sK39,sK40,sK41,sF67))
| ~ v1_xcmplx_0(k2_tarski(sF67,sK41))
| ~ v1_xcmplx_0(k1_tarski(sK41))
| ~ spl73_247 ),
inference(superposition,[],[f769,f3086]) ).
fof(f4043,plain,
( spl73_347
| spl73_348
| spl73_349
| ~ spl73_247 ),
inference(avatar_split_clause,[],[f4029,f3084,f4040,f4036,f4032]) ).
fof(f4029,plain,
( v1_setfam_1(k1_waybel_1(sK39,sK40,sK41,sF67))
| v1_xboole_0(k2_tarski(sF67,sK41))
| v1_xboole_0(k1_tarski(sK41))
| ~ spl73_247 ),
inference(superposition,[],[f702,f3086]) ).
fof(f4025,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_78
| spl73_345 ),
inference(avatar_split_clause,[],[f4024,f4000,f1413,f1088,f1301]) ).
fof(f4024,plain,
( v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_78
| spl73_345 ),
inference(resolution,[],[f4009,f1414]) ).
fof(f4009,plain,
( ~ sP28(sK39,sK40)
| spl73_345 ),
inference(resolution,[],[f4002,f723]) ).
fof(f4002,plain,
( ~ v1_funct_1(sK50(sK39,sK40))
| spl73_345 ),
inference(avatar_component_clause,[],[f4000]) ).
fof(f4023,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_61
| spl73_346
| ~ spl73_174 ),
inference(avatar_split_clause,[],[f4019,f2376,f4021,f1260,f906,f888]) ).
fof(f906,plain,
( spl73_6
<=> v2_orders_2(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_6])]) ).
fof(f4021,plain,
( spl73_346
<=> ! [X1] :
( ~ m1_subset_1(k1_tarski(k2_yellow_0(sK39,X1)),k1_zfmisc_1(sF72))
| v1_xboole_0(k1_tarski(k2_yellow_0(sK39,X1)))
| ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_346])]) ).
fof(f2376,plain,
( spl73_174
<=> ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK39,X0),sF72)
| k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_tarski(k2_yellow_0(sK39,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_174])]) ).
fof(f4019,plain,
( ! [X1] :
( ~ m1_subset_1(k1_tarski(k2_yellow_0(sK39,X1)),k1_zfmisc_1(sF72))
| ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1)))
| v1_xboole_0(k1_tarski(k2_yellow_0(sK39,X1)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) )
| ~ spl73_174 ),
inference(forward_demodulation,[],[f4018,f854]) ).
fof(f4018,plain,
( ! [X1] :
( ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1)))
| ~ m1_subset_1(k1_tarski(k2_yellow_0(sK39,X1)),k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(k1_tarski(k2_yellow_0(sK39,X1)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) )
| ~ spl73_174 ),
inference(superposition,[],[f730,f2996]) ).
fof(f2996,plain,
( ! [X0] : k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_tarski(k2_yellow_0(sK39,X0)))
| ~ spl73_174 ),
inference(resolution,[],[f2377,f957]) ).
fof(f2377,plain,
( ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK39,X0),sF72)
| k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_tarski(k2_yellow_0(sK39,X0))) )
| ~ spl73_174 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f730,plain,
! [X0,X1] :
( ~ v1_xboole_0(k5_waybel_0(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ v1_xboole_0(k5_waybel_0(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ~ v1_xboole_0(k5_waybel_0(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k5_waybel_0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc8_waybel_0) ).
fof(f4003,plain,
( spl73_344
| ~ spl73_345
| ~ spl73_328
| ~ spl73_125
| ~ spl73_326 ),
inference(avatar_split_clause,[],[f3993,f3807,f1779,f3822,f4000,f3996]) ).
fof(f3996,plain,
( spl73_344
<=> sP37(sK40,sK39,sK50(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_344])]) ).
fof(f3993,plain,
( ~ v1_funct_2(sK50(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK50(sK39,sK40))
| sP37(sK40,sK39,sK50(sK39,sK40))
| ~ spl73_125
| ~ spl73_326 ),
inference(resolution,[],[f3809,f1780]) ).
fof(f3809,plain,
( m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| ~ spl73_326 ),
inference(avatar_component_clause,[],[f3807]) ).
fof(f3981,plain,
( ~ spl73_322
| ~ spl73_338
| spl73_343
| ~ spl73_129
| ~ spl73_324 ),
inference(avatar_split_clause,[],[f3971,f3793,f1852,f3979,f3893,f3778]) ).
fof(f3979,plain,
( spl73_343
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| k1_waybel_1(sK39,sK40,X0,sK49(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK49(sK39,sK40)))
| ~ v1_funct_2(X0,sF72,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_343])]) ).
fof(f3971,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,sK49(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK49(sK39,sK40)))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_324 ),
inference(resolution,[],[f3795,f1853]) ).
fof(f3977,plain,
( ~ spl73_338
| ~ spl73_322
| spl73_342
| ~ spl73_203
| ~ spl73_324 ),
inference(avatar_split_clause,[],[f3972,f3793,f2621,f3974,f3778,f3893]) ).
fof(f3974,plain,
( spl73_342
<=> k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK41,sK49(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_342])]) ).
fof(f3972,plain,
( k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK41,sK49(sK39,sK40)))
| ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_203
| ~ spl73_324 ),
inference(forward_demodulation,[],[f3970,f693]) ).
fof(f3970,plain,
( ~ m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK49(sK39,sK40)),k2_tarski(sK49(sK39,sK40),sK41)) = k1_waybel_1(sK40,sK39,sK49(sK39,sK40),sK41)
| ~ v1_funct_1(sK49(sK39,sK40))
| ~ spl73_203
| ~ spl73_324 ),
inference(resolution,[],[f3795,f2622]) ).
fof(f3959,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_75
| spl73_340 ),
inference(avatar_split_clause,[],[f3958,f3932,f1390,f888,f1260]) ).
fof(f3958,plain,
( v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_75
| spl73_340 ),
inference(resolution,[],[f3946,f1391]) ).
fof(f3946,plain,
( ~ sP27(sK39,sK39)
| spl73_340 ),
inference(resolution,[],[f3934,f715]) ).
fof(f3934,plain,
( ~ v1_funct_1(sK49(sK39,sK39))
| spl73_340 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f3940,plain,
( spl73_341
| ~ spl73_340
| ~ spl73_321
| ~ spl73_124
| ~ spl73_323 ),
inference(avatar_split_clause,[],[f3927,f3788,f1775,f3773,f3932,f3937]) ).
fof(f3937,plain,
( spl73_341
<=> sP37(sK39,sK39,sK49(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_341])]) ).
fof(f3927,plain,
( ~ m2_relset_1(sK49(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK49(sK39,sK39))
| sP37(sK39,sK39,sK49(sK39,sK39))
| ~ spl73_124
| ~ spl73_323 ),
inference(resolution,[],[f3790,f1776]) ).
fof(f3935,plain,
( ~ spl73_321
| spl73_339
| ~ spl73_340
| ~ spl73_128
| ~ spl73_323 ),
inference(avatar_split_clause,[],[f3926,f3788,f1848,f3932,f3929,f3773]) ).
fof(f3929,plain,
( spl73_339
<=> ! [X0] :
( ~ v1_funct_1(X0)
| k2_tarski(k1_tarski(sK49(sK39,sK39)),k2_tarski(sK49(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK49(sK39,sK39),X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_339])]) ).
fof(f3926,plain,
( ! [X0] :
( ~ v1_funct_1(sK49(sK39,sK39))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK49(sK39,sK39)),k2_tarski(sK49(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK49(sK39,sK39),X0)
| ~ m2_relset_1(sK49(sK39,sK39),sF72,sF72) )
| ~ spl73_128
| ~ spl73_323 ),
inference(resolution,[],[f3790,f1849]) ).
fof(f3915,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_75
| spl73_338 ),
inference(avatar_split_clause,[],[f3914,f3893,f1390,f1088,f1301]) ).
fof(f3914,plain,
( v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_75
| spl73_338 ),
inference(resolution,[],[f3902,f1391]) ).
fof(f3902,plain,
( ~ sP27(sK39,sK40)
| spl73_338 ),
inference(resolution,[],[f3895,f715]) ).
fof(f3895,plain,
( ~ v1_funct_1(sK49(sK39,sK40))
| spl73_338 ),
inference(avatar_component_clause,[],[f3893]) ).
fof(f3896,plain,
( spl73_337
| ~ spl73_338
| ~ spl73_324
| ~ spl73_125
| ~ spl73_322 ),
inference(avatar_split_clause,[],[f3886,f3778,f1779,f3793,f3893,f3889]) ).
fof(f3889,plain,
( spl73_337
<=> sP37(sK40,sK39,sK49(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_337])]) ).
fof(f3886,plain,
( ~ v1_funct_2(sK49(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK49(sK39,sK40))
| sP37(sK40,sK39,sK49(sK39,sK40))
| ~ spl73_125
| ~ spl73_322 ),
inference(resolution,[],[f3780,f1780]) ).
fof(f3780,plain,
( m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| ~ spl73_322 ),
inference(avatar_component_clause,[],[f3778]) ).
fof(f3885,plain,
( ~ spl73_66
| spl73_32
| spl73_336
| ~ spl73_87 ),
inference(avatar_split_clause,[],[f3874,f1475,f3882,f1088,f1301]) ).
fof(f3874,plain,
( v1_funct_2(sK50(sK40,sK40),sF66,sF66)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_87 ),
inference(superposition,[],[f2829,f846]) ).
fof(f2829,plain,
( ! [X1] :
( v1_funct_2(sK50(sK40,X1),u1_struct_0(X1),sF66)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_87 ),
inference(forward_demodulation,[],[f2824,f846]) ).
fof(f2824,plain,
( ! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK50(sK40,X1),u1_struct_0(X1),u1_struct_0(sK40)) )
| ~ spl73_87 ),
inference(resolution,[],[f1476,f725]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| v1_funct_2(sK50(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f447]) ).
fof(f3880,plain,
( ~ spl73_61
| spl73_2
| spl73_335
| ~ spl73_87 ),
inference(avatar_split_clause,[],[f3873,f1475,f3877,f888,f1260]) ).
fof(f3873,plain,
( v1_funct_2(sK50(sK40,sK39),sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_87 ),
inference(superposition,[],[f2829,f854]) ).
fof(f3869,plain,
( ~ spl73_66
| spl73_32
| spl73_334
| ~ spl73_87 ),
inference(avatar_split_clause,[],[f3859,f1475,f3866,f1088,f1301]) ).
fof(f3859,plain,
( m2_relset_1(sK50(sK40,sK40),sF66,sF66)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_87 ),
inference(superposition,[],[f2828,f846]) ).
fof(f3864,plain,
( ~ spl73_61
| spl73_2
| spl73_333
| ~ spl73_87 ),
inference(avatar_split_clause,[],[f3858,f1475,f3861,f888,f1260]) ).
fof(f3858,plain,
( m2_relset_1(sK50(sK40,sK39),sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_87 ),
inference(superposition,[],[f2828,f854]) ).
fof(f3855,plain,
( ~ spl73_66
| spl73_32
| spl73_332
| ~ spl73_84 ),
inference(avatar_split_clause,[],[f3844,f1456,f3852,f1088,f1301]) ).
fof(f3844,plain,
( v1_funct_2(sK49(sK40,sK40),sF66,sF66)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_84 ),
inference(superposition,[],[f2820,f846]) ).
fof(f2820,plain,
( ! [X1] :
( v1_funct_2(sK49(sK40,X1),u1_struct_0(X1),sF66)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_84 ),
inference(forward_demodulation,[],[f2815,f846]) ).
fof(f2815,plain,
( ! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK49(sK40,X1),u1_struct_0(X1),u1_struct_0(sK40)) )
| ~ spl73_84 ),
inference(resolution,[],[f1457,f717]) ).
fof(f717,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v1_funct_2(sK49(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f443]) ).
fof(f3850,plain,
( ~ spl73_61
| spl73_2
| spl73_331
| ~ spl73_84 ),
inference(avatar_split_clause,[],[f3843,f1456,f3847,f888,f1260]) ).
fof(f3843,plain,
( v1_funct_2(sK49(sK40,sK39),sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_84 ),
inference(superposition,[],[f2820,f854]) ).
fof(f3839,plain,
( ~ spl73_66
| spl73_32
| spl73_330
| ~ spl73_84 ),
inference(avatar_split_clause,[],[f3829,f1456,f3836,f1088,f1301]) ).
fof(f3829,plain,
( m2_relset_1(sK49(sK40,sK40),sF66,sF66)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_84 ),
inference(superposition,[],[f2819,f846]) ).
fof(f3834,plain,
( ~ spl73_61
| spl73_2
| spl73_329
| ~ spl73_84 ),
inference(avatar_split_clause,[],[f3828,f1456,f3831,f888,f1260]) ).
fof(f3828,plain,
( m2_relset_1(sK49(sK40,sK39),sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_84 ),
inference(superposition,[],[f2819,f854]) ).
fof(f3825,plain,
( ~ spl73_66
| spl73_32
| spl73_328
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f3814,f1413,f3822,f1088,f1301]) ).
fof(f3814,plain,
( v1_funct_2(sK50(sK39,sK40),sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_78 ),
inference(superposition,[],[f2221,f846]) ).
fof(f2221,plain,
( ! [X1] :
( v1_funct_2(sK50(sK39,X1),u1_struct_0(X1),sF72)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_78 ),
inference(forward_demodulation,[],[f2216,f854]) ).
fof(f2216,plain,
( ! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK50(sK39,X1),u1_struct_0(X1),u1_struct_0(sK39)) )
| ~ spl73_78 ),
inference(resolution,[],[f1414,f725]) ).
fof(f3820,plain,
( ~ spl73_61
| spl73_2
| spl73_327
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f3813,f1413,f3817,f888,f1260]) ).
fof(f3813,plain,
( v1_funct_2(sK50(sK39,sK39),sF72,sF72)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_78 ),
inference(superposition,[],[f2221,f854]) ).
fof(f3810,plain,
( ~ spl73_66
| spl73_32
| spl73_326
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f3800,f1413,f3807,f1088,f1301]) ).
fof(f3800,plain,
( m2_relset_1(sK50(sK39,sK40),sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_78 ),
inference(superposition,[],[f2220,f846]) ).
fof(f3805,plain,
( ~ spl73_61
| spl73_2
| spl73_325
| ~ spl73_78 ),
inference(avatar_split_clause,[],[f3799,f1413,f3802,f888,f1260]) ).
fof(f3799,plain,
( m2_relset_1(sK50(sK39,sK39),sF72,sF72)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_78 ),
inference(superposition,[],[f2220,f854]) ).
fof(f3796,plain,
( ~ spl73_66
| spl73_32
| spl73_324
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f3785,f1390,f3793,f1088,f1301]) ).
fof(f3785,plain,
( v1_funct_2(sK49(sK39,sK40),sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_75 ),
inference(superposition,[],[f2209,f846]) ).
fof(f2209,plain,
( ! [X1] :
( v1_funct_2(sK49(sK39,X1),u1_struct_0(X1),sF72)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_75 ),
inference(forward_demodulation,[],[f2204,f854]) ).
fof(f2204,plain,
( ! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK49(sK39,X1),u1_struct_0(X1),u1_struct_0(sK39)) )
| ~ spl73_75 ),
inference(resolution,[],[f1391,f717]) ).
fof(f3791,plain,
( ~ spl73_61
| spl73_2
| spl73_323
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f3784,f1390,f3788,f888,f1260]) ).
fof(f3784,plain,
( v1_funct_2(sK49(sK39,sK39),sF72,sF72)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_75 ),
inference(superposition,[],[f2209,f854]) ).
fof(f3781,plain,
( ~ spl73_66
| spl73_32
| spl73_322
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f3771,f1390,f3778,f1088,f1301]) ).
fof(f3771,plain,
( m2_relset_1(sK49(sK39,sK40),sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_75 ),
inference(superposition,[],[f2208,f846]) ).
fof(f3776,plain,
( ~ spl73_61
| spl73_2
| spl73_321
| ~ spl73_75 ),
inference(avatar_split_clause,[],[f3770,f1390,f3773,f888,f1260]) ).
fof(f3770,plain,
( m2_relset_1(sK49(sK39,sK39),sF72,sF72)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_75 ),
inference(superposition,[],[f2208,f854]) ).
fof(f3729,plain,
( ~ spl73_319
| spl73_320
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3693,f1208,f3726,f3722]) ).
fof(f3722,plain,
( spl73_319
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_319])]) ).
fof(f3726,plain,
( spl73_320
<=> sP15(sK51(sK40,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_320])]) ).
fof(f3693,plain,
( sP15(sK51(sK40,sK62))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2986,f633]) ).
fof(f633,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| sP15(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
! [X0] :
( ! [X1] :
( sP15(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v4_membered(X0) ),
inference(definition_folding,[],[f198,f335]) ).
fof(f335,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc13_membered) ).
fof(f2986,plain,
( m1_subset_1(sK51(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2251,f825]) ).
fof(f2251,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| m1_subset_1(sK51(sK40,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF66))) )
| ~ spl73_54 ),
inference(resolution,[],[f1437,f787]) ).
fof(f1437,plain,
( ! [X0] :
( m2_relset_1(sK51(sK40,X0),u1_struct_0(X0),sF66)
| ~ l1_orders_2(X0) )
| ~ spl73_54 ),
inference(forward_literal_rewriting,[],[f1436,f804]) ).
fof(f1436,plain,
( ! [X0] :
( m1_relset_1(sK51(sK40,X0),u1_struct_0(X0),sF66)
| ~ l1_orders_2(X0) )
| ~ spl73_54 ),
inference(forward_demodulation,[],[f1433,f846]) ).
fof(f1433,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(sK51(sK40,X0),u1_struct_0(X0),u1_struct_0(sK40)) )
| ~ spl73_54 ),
inference(resolution,[],[f1209,f762]) ).
fof(f762,plain,
! [X0,X1] :
( ~ sP34(X0,X1)
| m1_relset_1(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f461]) ).
fof(f3720,plain,
( ~ spl73_317
| spl73_318
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3692,f1208,f3717,f3713]) ).
fof(f3713,plain,
( spl73_317
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_317])]) ).
fof(f3717,plain,
( spl73_318
<=> sP18(sK51(sK40,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_318])]) ).
fof(f3692,plain,
( sP18(sK51(sK40,sK62))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2986,f652]) ).
fof(f652,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| sP18(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( sP18(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v3_membered(X0) ),
inference(definition_folding,[],[f205,f341]) ).
fof(f341,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc12_membered) ).
fof(f3711,plain,
( ~ spl73_315
| spl73_316
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3691,f1208,f3708,f3704]) ).
fof(f3704,plain,
( spl73_315
<=> v4_membered(k2_zfmisc_1(u1_struct_0(sK62),sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_315])]) ).
fof(f3708,plain,
( spl73_316
<=> sP16(sK51(sK40,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_316])]) ).
fof(f3691,plain,
( sP16(sK51(sK40,sK62))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(sK62),sF66))
| ~ spl73_54 ),
inference(resolution,[],[f2986,f638]) ).
fof(f638,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP16(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ! [X1] :
( sP16(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v4_membered(X0) ),
inference(definition_folding,[],[f199,f337]) ).
fof(f337,plain,
! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc19_membered) ).
fof(f3702,plain,
( ~ spl73_313
| spl73_314
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3690,f1208,f3699,f3695]) ).
fof(f3695,plain,
( spl73_313
<=> v3_membered(k2_zfmisc_1(u1_struct_0(sK62),sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_313])]) ).
fof(f3699,plain,
( spl73_314
<=> sP19(sK51(sK40,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_314])]) ).
fof(f3690,plain,
( sP19(sK51(sK40,sK62))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(sK62),sF66))
| ~ spl73_54 ),
inference(resolution,[],[f2986,f656]) ).
fof(f656,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP19(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( sP19(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v3_membered(X0) ),
inference(definition_folding,[],[f206,f343]) ).
fof(f343,plain,
! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc18_membered) ).
fof(f3688,plain,
( ~ spl73_311
| spl73_312
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3652,f1208,f3685,f3681]) ).
fof(f3681,plain,
( spl73_311
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_311])]) ).
fof(f3685,plain,
( spl73_312
<=> sP15(sK51(sK40,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_312])]) ).
fof(f3652,plain,
( sP15(sK51(sK40,sK57))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2985,f633]) ).
fof(f2985,plain,
( m1_subset_1(sK51(sK40,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2251,f812]) ).
fof(f3679,plain,
( ~ spl73_309
| spl73_310
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3651,f1208,f3676,f3672]) ).
fof(f3672,plain,
( spl73_309
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_309])]) ).
fof(f3676,plain,
( spl73_310
<=> sP18(sK51(sK40,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_310])]) ).
fof(f3651,plain,
( sP18(sK51(sK40,sK57))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF66)))
| ~ spl73_54 ),
inference(resolution,[],[f2985,f652]) ).
fof(f3670,plain,
( ~ spl73_307
| spl73_308
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3650,f1208,f3667,f3663]) ).
fof(f3663,plain,
( spl73_307
<=> v4_membered(k2_zfmisc_1(u1_struct_0(sK57),sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_307])]) ).
fof(f3667,plain,
( spl73_308
<=> sP16(sK51(sK40,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_308])]) ).
fof(f3650,plain,
( sP16(sK51(sK40,sK57))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(sK57),sF66))
| ~ spl73_54 ),
inference(resolution,[],[f2985,f638]) ).
fof(f3661,plain,
( ~ spl73_305
| spl73_306
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f3649,f1208,f3658,f3654]) ).
fof(f3654,plain,
( spl73_305
<=> v3_membered(k2_zfmisc_1(u1_struct_0(sK57),sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_305])]) ).
fof(f3658,plain,
( spl73_306
<=> sP19(sK51(sK40,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_306])]) ).
fof(f3649,plain,
( sP19(sK51(sK40,sK57))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(sK57),sF66))
| ~ spl73_54 ),
inference(resolution,[],[f2985,f656]) ).
fof(f3647,plain,
( ~ spl73_303
| spl73_304
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3611,f1008,f3644,f3640]) ).
fof(f3640,plain,
( spl73_303
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_303])]) ).
fof(f3644,plain,
( spl73_304
<=> sP15(sK51(sK39,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_304])]) ).
fof(f3611,plain,
( sP15(sK51(sK39,sK62))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2975,f633]) ).
fof(f2975,plain,
( m1_subset_1(sK51(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2222,f825]) ).
fof(f2222,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| m1_subset_1(sK51(sK39,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF72))) )
| ~ spl73_24 ),
inference(resolution,[],[f1406,f787]) ).
fof(f1406,plain,
( ! [X0] :
( m2_relset_1(sK51(sK39,X0),u1_struct_0(X0),sF72)
| ~ l1_orders_2(X0) )
| ~ spl73_24 ),
inference(forward_literal_rewriting,[],[f1405,f804]) ).
fof(f1405,plain,
( ! [X0] :
( m1_relset_1(sK51(sK39,X0),u1_struct_0(X0),sF72)
| ~ l1_orders_2(X0) )
| ~ spl73_24 ),
inference(forward_demodulation,[],[f1402,f854]) ).
fof(f1402,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(sK51(sK39,X0),u1_struct_0(X0),u1_struct_0(sK39)) )
| ~ spl73_24 ),
inference(resolution,[],[f1009,f762]) ).
fof(f3638,plain,
( ~ spl73_301
| spl73_302
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3610,f1008,f3635,f3631]) ).
fof(f3631,plain,
( spl73_301
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_301])]) ).
fof(f3635,plain,
( spl73_302
<=> sP18(sK51(sK39,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_302])]) ).
fof(f3610,plain,
( sP18(sK51(sK39,sK62))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2975,f652]) ).
fof(f3629,plain,
( ~ spl73_299
| spl73_300
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3609,f1008,f3626,f3622]) ).
fof(f3622,plain,
( spl73_299
<=> v4_membered(k2_zfmisc_1(u1_struct_0(sK62),sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_299])]) ).
fof(f3626,plain,
( spl73_300
<=> sP16(sK51(sK39,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_300])]) ).
fof(f3609,plain,
( sP16(sK51(sK39,sK62))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(sK62),sF72))
| ~ spl73_24 ),
inference(resolution,[],[f2975,f638]) ).
fof(f3620,plain,
( ~ spl73_297
| spl73_298
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3608,f1008,f3617,f3613]) ).
fof(f3613,plain,
( spl73_297
<=> v3_membered(k2_zfmisc_1(u1_struct_0(sK62),sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_297])]) ).
fof(f3617,plain,
( spl73_298
<=> sP19(sK51(sK39,sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_298])]) ).
fof(f3608,plain,
( sP19(sK51(sK39,sK62))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(sK62),sF72))
| ~ spl73_24 ),
inference(resolution,[],[f2975,f656]) ).
fof(f3606,plain,
( ~ spl73_295
| spl73_296
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3570,f1008,f3603,f3599]) ).
fof(f3599,plain,
( spl73_295
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_295])]) ).
fof(f3603,plain,
( spl73_296
<=> sP15(sK51(sK39,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_296])]) ).
fof(f3570,plain,
( sP15(sK51(sK39,sK57))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2974,f633]) ).
fof(f2974,plain,
( m1_subset_1(sK51(sK39,sK57),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2222,f812]) ).
fof(f3597,plain,
( ~ spl73_293
| spl73_294
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3569,f1008,f3594,f3590]) ).
fof(f3590,plain,
( spl73_293
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_293])]) ).
fof(f3594,plain,
( spl73_294
<=> sP18(sK51(sK39,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_294])]) ).
fof(f3569,plain,
( sP18(sK51(sK39,sK57))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK57),sF72)))
| ~ spl73_24 ),
inference(resolution,[],[f2974,f652]) ).
fof(f3588,plain,
( ~ spl73_291
| spl73_292
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3568,f1008,f3585,f3581]) ).
fof(f3581,plain,
( spl73_291
<=> v4_membered(k2_zfmisc_1(u1_struct_0(sK57),sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_291])]) ).
fof(f3585,plain,
( spl73_292
<=> sP16(sK51(sK39,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_292])]) ).
fof(f3568,plain,
( sP16(sK51(sK39,sK57))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(sK57),sF72))
| ~ spl73_24 ),
inference(resolution,[],[f2974,f638]) ).
fof(f3579,plain,
( ~ spl73_289
| spl73_290
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f3567,f1008,f3576,f3572]) ).
fof(f3572,plain,
( spl73_289
<=> v3_membered(k2_zfmisc_1(u1_struct_0(sK57),sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_289])]) ).
fof(f3576,plain,
( spl73_290
<=> sP19(sK51(sK39,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_290])]) ).
fof(f3567,plain,
( sP19(sK51(sK39,sK57))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(sK57),sF72))
| ~ spl73_24 ),
inference(resolution,[],[f2974,f656]) ).
fof(f3543,plain,
( spl73_2
| ~ spl73_161
| spl73_257
| ~ spl73_234
| ~ spl73_236 ),
inference(avatar_split_clause,[],[f3542,f2877,f2868,f3168,f2285,f888]) ).
fof(f3168,plain,
( spl73_257
<=> m1_subset_1(k1_tarski(sF71),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_257])]) ).
fof(f2868,plain,
( spl73_234
<=> m1_subset_1(sF71,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_234])]) ).
fof(f2877,plain,
( spl73_236
<=> m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_236])]) ).
fof(f3542,plain,
( ~ m1_subset_1(sF71,sF72)
| m1_subset_1(k1_tarski(sF71),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_236 ),
inference(forward_demodulation,[],[f3540,f854]) ).
fof(f3540,plain,
( m1_subset_1(k1_tarski(sF71),k1_zfmisc_1(sF72))
| ~ m1_subset_1(sF71,u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_236 ),
inference(superposition,[],[f2878,f703]) ).
fof(f2878,plain,
( m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ spl73_236 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f3528,plain,
( spl73_2
| ~ spl73_161
| spl73_232
| ~ spl73_163
| ~ spl73_165 ),
inference(avatar_split_clause,[],[f3527,f2302,f2293,f2852,f2285,f888]) ).
fof(f2852,plain,
( spl73_232
<=> m1_subset_1(k1_tarski(sK48(sF72)),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_232])]) ).
fof(f2293,plain,
( spl73_163
<=> m1_subset_1(sK48(sF72),sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_163])]) ).
fof(f2302,plain,
( spl73_165
<=> m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_165])]) ).
fof(f3527,plain,
( ~ m1_subset_1(sK48(sF72),sF72)
| m1_subset_1(k1_tarski(sK48(sF72)),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_165 ),
inference(forward_demodulation,[],[f3525,f854]) ).
fof(f3525,plain,
( m1_subset_1(k1_tarski(sK48(sF72)),k1_zfmisc_1(sF72))
| ~ m1_subset_1(sK48(sF72),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_165 ),
inference(superposition,[],[f2303,f703]) ).
fof(f2303,plain,
( m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72))
| ~ spl73_165 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f3519,plain,
( spl73_2
| ~ spl73_161
| ~ spl73_288
| ~ spl73_163
| spl73_164 ),
inference(avatar_split_clause,[],[f3514,f2298,f2293,f3516,f2285,f888]) ).
fof(f3516,plain,
( spl73_288
<=> v2_waybel_0(k1_tarski(sK48(sF72)),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_288])]) ).
fof(f2298,plain,
( spl73_164
<=> v2_waybel_0(k1_struct_0(sK39,sK48(sF72)),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_164])]) ).
fof(f3514,plain,
( ~ m1_subset_1(sK48(sF72),sF72)
| ~ v2_waybel_0(k1_tarski(sK48(sF72)),sK39)
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_164 ),
inference(forward_demodulation,[],[f3513,f854]) ).
fof(f3513,plain,
( ~ v2_waybel_0(k1_tarski(sK48(sF72)),sK39)
| ~ m1_subset_1(sK48(sF72),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_164 ),
inference(superposition,[],[f2300,f703]) ).
fof(f2300,plain,
( ~ v2_waybel_0(k1_struct_0(sK39,sK48(sF72)),sK39)
| spl73_164 ),
inference(avatar_component_clause,[],[f2298]) ).
fof(f3512,plain,
( spl73_2
| ~ spl73_161
| ~ spl73_287
| ~ spl73_234
| spl73_235 ),
inference(avatar_split_clause,[],[f3507,f2873,f2868,f3509,f2285,f888]) ).
fof(f3509,plain,
( spl73_287
<=> v2_waybel_0(k1_tarski(sF71),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_287])]) ).
fof(f2873,plain,
( spl73_235
<=> v2_waybel_0(k1_struct_0(sK39,sF71),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_235])]) ).
fof(f3507,plain,
( ~ m1_subset_1(sF71,sF72)
| ~ v2_waybel_0(k1_tarski(sF71),sK39)
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_235 ),
inference(forward_demodulation,[],[f3506,f854]) ).
fof(f3506,plain,
( ~ v2_waybel_0(k1_tarski(sF71),sK39)
| ~ m1_subset_1(sF71,u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_235 ),
inference(superposition,[],[f2875,f703]) ).
fof(f2875,plain,
( ~ v2_waybel_0(k1_struct_0(sK39,sF71),sK39)
| spl73_235 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f3505,plain,
( ~ spl73_236
| spl73_238
| ~ spl73_239
| ~ spl73_175 ),
inference(avatar_split_clause,[],[f3025,f2381,f2891,f2887,f2877]) ).
fof(f2887,plain,
( spl73_238
<=> v1_xboole_0(k1_struct_0(sK39,sF71)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_238])]) ).
fof(f2891,plain,
( spl73_239
<=> v1_xboole_0(k7_waybel_0(sK39,sF71)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_239])]) ).
fof(f2381,plain,
( spl73_175
<=> ! [X1] :
( ~ m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X1)),k1_zfmisc_1(sF72))
| v1_xboole_0(k1_struct_0(sK39,k2_yellow_0(sK39,X1)))
| ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_175])]) ).
fof(f3025,plain,
( ~ v1_xboole_0(k7_waybel_0(sK39,sF71))
| v1_xboole_0(k1_struct_0(sK39,sF71))
| ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ spl73_175 ),
inference(superposition,[],[f2382,f851]) ).
fof(f2382,plain,
( ! [X1] :
( ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1)))
| v1_xboole_0(k1_struct_0(sK39,k2_yellow_0(sK39,X1)))
| ~ m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X1)),k1_zfmisc_1(sF72)) )
| ~ spl73_175 ),
inference(avatar_component_clause,[],[f2381]) ).
fof(f3504,plain,
( ~ spl73_235
| ~ spl73_236
| spl73_237
| ~ spl73_7
| ~ spl73_21 ),
inference(avatar_split_clause,[],[f3076,f990,f912,f2881,f2877,f2873]) ).
fof(f2881,plain,
( spl73_237
<=> v2_waybel_0(k7_waybel_0(sK39,sF71),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_237])]) ).
fof(f912,plain,
( spl73_7
<=> ! [X0] :
( ~ m1_subset_1(X0,sF72)
| k7_waybel_0(sK39,X0) = k5_waybel_0(sK39,k1_struct_0(sK39,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_7])]) ).
fof(f990,plain,
( spl73_21
<=> ! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(sF72))
| v2_waybel_0(k5_waybel_0(sK39,X16),sK39)
| ~ v2_waybel_0(X16,sK39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_21])]) ).
fof(f3076,plain,
( v2_waybel_0(k7_waybel_0(sK39,sF71),sK39)
| ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ v2_waybel_0(k1_struct_0(sK39,sF71),sK39)
| ~ spl73_7
| ~ spl73_21 ),
inference(superposition,[],[f2372,f851]) ).
fof(f2372,plain,
( ! [X0] :
( v2_waybel_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X0)),sK39)
| ~ m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X0)),k1_zfmisc_1(sF72))
| ~ v2_waybel_0(k1_struct_0(sK39,k2_yellow_0(sK39,X0)),sK39) )
| ~ spl73_7
| ~ spl73_21 ),
inference(superposition,[],[f991,f1627]) ).
fof(f1627,plain,
( ! [X0] : k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_struct_0(sK39,k2_yellow_0(sK39,X0)))
| ~ spl73_7 ),
inference(resolution,[],[f913,f957]) ).
fof(f913,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF72)
| k7_waybel_0(sK39,X0) = k5_waybel_0(sK39,k1_struct_0(sK39,X0)) )
| ~ spl73_7 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f991,plain,
( ! [X16] :
( v2_waybel_0(k5_waybel_0(sK39,X16),sK39)
| ~ m1_subset_1(X16,k1_zfmisc_1(sF72))
| ~ v2_waybel_0(X16,sK39) )
| ~ spl73_21 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f3503,plain,
( spl73_165
| ~ spl73_171 ),
inference(avatar_split_clause,[],[f3501,f2346,f2302]) ).
fof(f3501,plain,
( m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72))
| ~ spl73_171 ),
inference(resolution,[],[f2347,f691]) ).
fof(f691,plain,
! [X0] : m1_subset_1(sK48(X0),X0),
inference(cnf_transformation,[],[f435]) ).
fof(f435,plain,
! [X0] : m1_subset_1(sK48(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f74,f434]) ).
fof(f434,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK48(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f74,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',existence_m1_subset_1) ).
fof(f3502,plain,
( spl73_236
| ~ spl73_171 ),
inference(avatar_split_clause,[],[f3500,f2346,f2877]) ).
fof(f3500,plain,
( m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ spl73_171 ),
inference(resolution,[],[f2347,f1370]) ).
fof(f1370,plain,
m1_subset_1(sF71,sF72),
inference(superposition,[],[f957,f851]) ).
fof(f3493,plain,
( spl73_32
| ~ spl73_112
| spl73_286
| ~ spl73_116 ),
inference(avatar_split_clause,[],[f3489,f1668,f3491,f1636,f1088]) ).
fof(f3491,plain,
( spl73_286
<=> ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK40,X0),sF66)
| m1_subset_1(k1_tarski(k2_yellow_0(sK40,X0)),k1_zfmisc_1(sF66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_286])]) ).
fof(f3489,plain,
( ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK40,X0),sF66)
| m1_subset_1(k1_tarski(k2_yellow_0(sK40,X0)),k1_zfmisc_1(sF66))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116 ),
inference(forward_demodulation,[],[f3488,f846]) ).
fof(f3488,plain,
( ! [X0] :
( m1_subset_1(k1_tarski(k2_yellow_0(sK40,X0)),k1_zfmisc_1(sF66))
| ~ m1_subset_1(k2_yellow_0(sK40,X0),u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_116 ),
inference(superposition,[],[f2857,f703]) ).
fof(f3462,plain,
( ~ spl73_284
| spl73_285
| ~ spl73_158 ),
inference(avatar_split_clause,[],[f3426,f2260,f3459,f3455]) ).
fof(f3455,plain,
( spl73_284
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_284])]) ).
fof(f3459,plain,
( spl73_285
<=> sP15(sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_285])]) ).
fof(f3426,plain,
( sP15(sK51(sK40,sK40))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF66)))
| ~ spl73_158 ),
inference(resolution,[],[f2279,f633]) ).
fof(f2279,plain,
( m1_subset_1(sK51(sK40,sK40),k1_zfmisc_1(k2_zfmisc_1(sF66,sF66)))
| ~ spl73_158 ),
inference(resolution,[],[f2262,f787]) ).
fof(f2262,plain,
( m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ spl73_158 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f3453,plain,
( ~ spl73_282
| spl73_283
| ~ spl73_158 ),
inference(avatar_split_clause,[],[f3425,f2260,f3450,f3446]) ).
fof(f3446,plain,
( spl73_282
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_282])]) ).
fof(f3450,plain,
( spl73_283
<=> sP18(sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_283])]) ).
fof(f3425,plain,
( sP18(sK51(sK40,sK40))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF66)))
| ~ spl73_158 ),
inference(resolution,[],[f2279,f652]) ).
fof(f3444,plain,
( ~ spl73_280
| spl73_281
| ~ spl73_158 ),
inference(avatar_split_clause,[],[f3424,f2260,f3441,f3437]) ).
fof(f3437,plain,
( spl73_280
<=> v4_membered(k2_zfmisc_1(sF66,sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_280])]) ).
fof(f3441,plain,
( spl73_281
<=> sP16(sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_281])]) ).
fof(f3424,plain,
( sP16(sK51(sK40,sK40))
| ~ v4_membered(k2_zfmisc_1(sF66,sF66))
| ~ spl73_158 ),
inference(resolution,[],[f2279,f638]) ).
fof(f3435,plain,
( ~ spl73_278
| spl73_279
| ~ spl73_158 ),
inference(avatar_split_clause,[],[f3423,f2260,f3432,f3428]) ).
fof(f3428,plain,
( spl73_278
<=> v3_membered(k2_zfmisc_1(sF66,sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_278])]) ).
fof(f3432,plain,
( spl73_279
<=> sP19(sK51(sK40,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_279])]) ).
fof(f3423,plain,
( sP19(sK51(sK40,sK40))
| ~ v3_membered(k2_zfmisc_1(sF66,sF66))
| ~ spl73_158 ),
inference(resolution,[],[f2279,f656]) ).
fof(f3407,plain,
( ~ spl73_276
| spl73_277
| ~ spl73_153 ),
inference(avatar_split_clause,[],[f3371,f2226,f3404,f3400]) ).
fof(f3400,plain,
( spl73_276
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_276])]) ).
fof(f3404,plain,
( spl73_277
<=> sP15(sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_277])]) ).
fof(f3371,plain,
( sP15(sK51(sK39,sK39))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF72)))
| ~ spl73_153 ),
inference(resolution,[],[f2235,f633]) ).
fof(f2235,plain,
( m1_subset_1(sK51(sK39,sK39),k1_zfmisc_1(k2_zfmisc_1(sF72,sF72)))
| ~ spl73_153 ),
inference(resolution,[],[f2228,f787]) ).
fof(f2228,plain,
( m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ spl73_153 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f3398,plain,
( ~ spl73_274
| spl73_275
| ~ spl73_153 ),
inference(avatar_split_clause,[],[f3370,f2226,f3395,f3391]) ).
fof(f3391,plain,
( spl73_274
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_274])]) ).
fof(f3395,plain,
( spl73_275
<=> sP18(sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_275])]) ).
fof(f3370,plain,
( sP18(sK51(sK39,sK39))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF72)))
| ~ spl73_153 ),
inference(resolution,[],[f2235,f652]) ).
fof(f3389,plain,
( ~ spl73_272
| spl73_273
| ~ spl73_153 ),
inference(avatar_split_clause,[],[f3369,f2226,f3386,f3382]) ).
fof(f3382,plain,
( spl73_272
<=> v4_membered(k2_zfmisc_1(sF72,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_272])]) ).
fof(f3386,plain,
( spl73_273
<=> sP16(sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_273])]) ).
fof(f3369,plain,
( sP16(sK51(sK39,sK39))
| ~ v4_membered(k2_zfmisc_1(sF72,sF72))
| ~ spl73_153 ),
inference(resolution,[],[f2235,f638]) ).
fof(f3380,plain,
( ~ spl73_270
| spl73_271
| ~ spl73_153 ),
inference(avatar_split_clause,[],[f3368,f2226,f3377,f3373]) ).
fof(f3373,plain,
( spl73_270
<=> v3_membered(k2_zfmisc_1(sF72,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_270])]) ).
fof(f3377,plain,
( spl73_271
<=> sP19(sK51(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_271])]) ).
fof(f3368,plain,
( sP19(sK51(sK39,sK39))
| ~ v3_membered(k2_zfmisc_1(sF72,sF72))
| ~ spl73_153 ),
inference(resolution,[],[f2235,f656]) ).
fof(f3344,plain,
~ spl73_218,
inference(avatar_contradiction_clause,[],[f3343]) ).
fof(f3343,plain,
( $false
| ~ spl73_218 ),
inference(resolution,[],[f2717,f691]) ).
fof(f2717,plain,
( ! [X2] : ~ m1_subset_1(X2,sK48(k1_zfmisc_1(sK63)))
| ~ spl73_218 ),
inference(avatar_component_clause,[],[f2716]) ).
fof(f2716,plain,
( spl73_218
<=> ! [X2] : ~ m1_subset_1(X2,sK48(k1_zfmisc_1(sK63))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_218])]) ).
fof(f3322,plain,
( ~ spl73_189
| spl73_259 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3321,plain,
( $false
| ~ spl73_189
| spl73_259 ),
inference(resolution,[],[f3200,f2484]) ).
fof(f3200,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| spl73_259 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f3320,plain,
( spl73_114
| ~ spl73_66
| spl73_269
| ~ spl73_54
| ~ spl73_118 ),
inference(avatar_split_clause,[],[f3315,f1683,f1208,f3318,f1301,f1655]) ).
fof(f3315,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK40,sK51(sK40,sK40),sK40,X0)),k5_pre_topc(sK40,sK40,sK51(sK40,sK40),k7_waybel_0(sK40,sK47(sK40,sK51(sK40,sK40),sK40,X0))))
| ~ l1_orders_2(sK40)
| sP23(sK40,sK51(sK40,sK40),sK40,X0)
| v1_xboole_0(sF66)
| ~ m2_relset_1(X0,sF66,sF66)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK47(sK40,sK51(sK40,sK40),sK40,X0),sF66)
| ~ v1_funct_2(X0,sF66,sF66) )
| ~ spl73_54
| ~ spl73_118 ),
inference(superposition,[],[f2176,f1684]) ).
fof(f3314,plain,
( spl73_169
| ~ spl73_66
| spl73_268
| ~ spl73_24
| ~ spl73_118 ),
inference(avatar_split_clause,[],[f3310,f1683,f1008,f3312,f1301,f2333]) ).
fof(f3312,plain,
( spl73_268
<=> ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK39,sK51(sK39,sK40),sK40,X0)),k5_pre_topc(sK40,sK39,sK51(sK39,sK40),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,sK40),sK40,X0))))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m1_subset_1(sK47(sK39,sK51(sK39,sK40),sK40,X0),sF72)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66)
| sP23(sK39,sK51(sK39,sK40),sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_268])]) ).
fof(f3310,plain,
( ! [X0] :
( ~ r3_waybel_1(sK40,k1_funct_1(X0,sK47(sK39,sK51(sK39,sK40),sK40,X0)),k5_pre_topc(sK40,sK39,sK51(sK39,sK40),k7_waybel_0(sK39,sK47(sK39,sK51(sK39,sK40),sK40,X0))))
| ~ l1_orders_2(sK40)
| sP23(sK39,sK51(sK39,sK40),sK40,X0)
| v1_xboole_0(sF72)
| ~ m2_relset_1(X0,sF72,sF66)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK47(sK39,sK51(sK39,sK40),sK40,X0),sF72)
| ~ v1_funct_2(X0,sF72,sF66) )
| ~ spl73_24
| ~ spl73_118 ),
inference(superposition,[],[f2167,f1684]) ).
fof(f3297,plain,
( ~ spl73_119
| ~ spl73_121
| ~ spl73_147
| ~ spl73_122
| ~ spl73_145
| ~ spl73_146
| spl73_267
| ~ spl73_144
| ~ spl73_208 ),
inference(avatar_split_clause,[],[f3291,f2665,f2029,f3294,f2037,f2033,f1748,f2041,f1744,f1736]) ).
fof(f2029,plain,
( spl73_144
<=> v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_144])]) ).
fof(f2665,plain,
( spl73_208
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK40,X1,sK39,X0)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ v3_waybel_1(k1_waybel_1(sK39,sK40,X1,X0),sK39,sK40)
| ~ m2_relset_1(X1,sF72,sF66)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_208])]) ).
fof(f3291,plain,
( sP23(sK40,sK41,sK39,sF67)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_1(sK41)
| ~ spl73_144
| ~ spl73_208 ),
inference(resolution,[],[f2666,f2031]) ).
fof(f2031,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ spl73_144 ),
inference(avatar_component_clause,[],[f2029]) ).
fof(f2666,plain,
( ! [X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK40,X1,X0),sK39,sK40)
| sP23(sK40,X1,sK39,X0)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X1,sF72,sF66)
| ~ v1_funct_1(X1) )
| ~ spl73_208 ),
inference(avatar_component_clause,[],[f2665]) ).
fof(f3290,plain,
( ~ spl73_33
| ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_266
| ~ spl73_30
| ~ spl73_207 ),
inference(avatar_split_clause,[],[f3286,f2654,f1054,f3288,f1106,f1121,f1134,f1146,f1150,f1301,f1092]) ).
fof(f1092,plain,
( spl73_33
<=> v3_lattice3(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_33])]) ).
fof(f1150,plain,
( spl73_44
<=> v2_lattice3(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_44])]) ).
fof(f1146,plain,
( spl73_43
<=> v1_lattice3(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_43])]) ).
fof(f1134,plain,
( spl73_41
<=> v4_orders_2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_41])]) ).
fof(f1121,plain,
( spl73_39
<=> v3_orders_2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_39])]) ).
fof(f1106,plain,
( spl73_36
<=> v2_orders_2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_36])]) ).
fof(f1054,plain,
( spl73_30
<=> ! [X34,X35] :
( ~ v1_funct_2(X35,u1_struct_0(X34),sF72)
| ~ v2_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v4_orders_2(X34)
| ~ v1_lattice3(X34)
| ~ v2_lattice3(X34)
| ~ l1_orders_2(X34)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v1_funct_1(X35)
| ~ v3_lattice3(X34)
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ m2_relset_1(X35,u1_struct_0(X34),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_30])]) ).
fof(f2654,plain,
( spl73_207
<=> ! [X2,X3] :
( ~ v1_funct_2(X2,sF72,sF66)
| sP23(sK39,X3,sK40,X2)
| ~ m2_relset_1(X2,sF72,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,sF66,sF72)
| ~ v3_waybel_1(k1_waybel_1(sK40,sK39,X3,X2),sK40,sK39)
| ~ m2_relset_1(X3,sF66,sF72)
| ~ v1_funct_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_207])]) ).
fof(f3286,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39) )
| ~ spl73_30
| ~ spl73_207 ),
inference(duplicate_literal_removal,[],[f3285]) ).
fof(f3285,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39) )
| ~ spl73_30
| ~ spl73_207 ),
inference(forward_demodulation,[],[f3284,f846]) ).
fof(f3284,plain,
( ! [X0] :
( ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(duplicate_literal_removal,[],[f3283]) ).
fof(f3283,plain,
( ! [X0] :
( ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(forward_demodulation,[],[f3282,f846]) ).
fof(f3282,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(duplicate_literal_removal,[],[f3281]) ).
fof(f3281,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(forward_demodulation,[],[f3280,f846]) ).
fof(f3280,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(duplicate_literal_removal,[],[f3279]) ).
fof(f3279,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF66,sF72)
| sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(forward_demodulation,[],[f3278,f846]) ).
fof(f3278,plain,
( ! [X0] :
( sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v1_funct_2(X0,u1_struct_0(sK40),sF72)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(duplicate_literal_removal,[],[f3276]) ).
fof(f3276,plain,
( ! [X0] :
( sP23(sK39,X0,sK40,k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,sF66)
| ~ m2_relset_1(X0,sF66,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ v1_funct_2(X0,u1_struct_0(sK40),sF72)
| ~ v1_funct_1(X0)
| ~ v3_lattice3(sK40)
| ~ v17_waybel_0(X0,sK40,sK39)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ v1_funct_2(k1_waybel34(sK40,sK39,X0),sF72,u1_struct_0(sK40))
| ~ m2_relset_1(X0,u1_struct_0(sK40),sF72) )
| ~ spl73_30
| ~ spl73_207 ),
inference(resolution,[],[f2655,f1055]) ).
fof(f1055,plain,
( ! [X34,X35] :
( v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v4_orders_2(X34)
| ~ v1_lattice3(X34)
| ~ v2_lattice3(X34)
| ~ l1_orders_2(X34)
| ~ v1_funct_2(X35,u1_struct_0(X34),sF72)
| ~ v1_funct_1(X35)
| ~ v3_lattice3(X34)
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ m2_relset_1(X35,u1_struct_0(X34),sF72) )
| ~ spl73_30 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f2655,plain,
( ! [X2,X3] :
( ~ v3_waybel_1(k1_waybel_1(sK40,sK39,X3,X2),sK40,sK39)
| sP23(sK39,X3,sK40,X2)
| ~ m2_relset_1(X2,sF72,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,sF66,sF72)
| ~ v1_funct_2(X2,sF72,sF66)
| ~ m2_relset_1(X3,sF66,sF72)
| ~ v1_funct_1(X3) )
| ~ spl73_207 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f3275,plain,
( ~ spl73_3
| ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_265
| ~ spl73_30
| ~ spl73_206 ),
inference(avatar_split_clause,[],[f3271,f2650,f1054,f3273,f906,f921,f934,f946,f950,f1260,f892]) ).
fof(f892,plain,
( spl73_3
<=> v3_lattice3(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_3])]) ).
fof(f950,plain,
( spl73_14
<=> v2_lattice3(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_14])]) ).
fof(f946,plain,
( spl73_13
<=> v1_lattice3(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_13])]) ).
fof(f934,plain,
( spl73_11
<=> v4_orders_2(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_11])]) ).
fof(f921,plain,
( spl73_9
<=> v3_orders_2(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_9])]) ).
fof(f2650,plain,
( spl73_206
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X1,sK39,X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X1,X0),sK39,sK39)
| ~ m2_relset_1(X1,sF72,sF72)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_206])]) ).
fof(f3271,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39) )
| ~ spl73_30
| ~ spl73_206 ),
inference(duplicate_literal_removal,[],[f3270]) ).
fof(f3270,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39) )
| ~ spl73_30
| ~ spl73_206 ),
inference(forward_demodulation,[],[f3269,f854]) ).
fof(f3269,plain,
( ! [X0] :
( ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(duplicate_literal_removal,[],[f3268]) ).
fof(f3268,plain,
( ! [X0] :
( ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(forward_demodulation,[],[f3267,f854]) ).
fof(f3267,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(duplicate_literal_removal,[],[f3266]) ).
fof(f3266,plain,
( ! [X0] :
( ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(forward_demodulation,[],[f3265,f854]) ).
fof(f3265,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(duplicate_literal_removal,[],[f3264]) ).
fof(f3264,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(forward_demodulation,[],[f3263,f854]) ).
fof(f3263,plain,
( ! [X0] :
( sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_2(X0,u1_struct_0(sK39),sF72)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(duplicate_literal_removal,[],[f3261]) ).
fof(f3261,plain,
( ! [X0] :
( sP23(sK39,X0,sK39,k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ v1_funct_2(X0,sF72,sF72)
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_2(X0,u1_struct_0(sK39),sF72)
| ~ v1_funct_1(X0)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_1(k1_waybel34(sK39,sK39,X0))
| ~ m2_relset_1(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK39,X0),sF72,u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),sF72) )
| ~ spl73_30
| ~ spl73_206 ),
inference(resolution,[],[f2651,f1055]) ).
fof(f2651,plain,
( ! [X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X1,X0),sK39,sK39)
| sP23(sK39,X1,sK39,X0)
| ~ m2_relset_1(X0,sF72,sF72)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X1,sF72,sF72)
| ~ v1_funct_1(X1) )
| ~ spl73_206 ),
inference(avatar_component_clause,[],[f2650]) ).
fof(f3248,plain,
spl73_264,
inference(avatar_contradiction_clause,[],[f3247]) ).
fof(f3247,plain,
( $false
| spl73_264 ),
inference(resolution,[],[f3243,f691]) ).
fof(f3243,plain,
( ~ m1_subset_1(sK48(sF66),sF66)
| spl73_264 ),
inference(avatar_component_clause,[],[f3241]) ).
fof(f3241,plain,
( spl73_264
<=> m1_subset_1(sK48(sF66),sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_264])]) ).
fof(f3244,plain,
( spl73_32
| ~ spl73_112
| spl73_263
| ~ spl73_264
| ~ spl73_116 ),
inference(avatar_split_clause,[],[f3235,f1668,f3241,f3237,f1636,f1088]) ).
fof(f3237,plain,
( spl73_263
<=> m1_subset_1(k1_tarski(sK48(sF66)),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_263])]) ).
fof(f3235,plain,
( ~ m1_subset_1(sK48(sF66),sF66)
| m1_subset_1(k1_tarski(sK48(sF66)),k1_zfmisc_1(sF66))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40)
| ~ spl73_116 ),
inference(forward_demodulation,[],[f3234,f846]) ).
fof(f3234,plain,
( m1_subset_1(k1_tarski(sK48(sF66)),k1_zfmisc_1(sF66))
| ~ m1_subset_1(sK48(sF66),u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40)
| ~ spl73_116 ),
inference(superposition,[],[f2858,f703]) ).
fof(f2858,plain,
( m1_subset_1(k1_struct_0(sK40,sK48(sF66)),k1_zfmisc_1(sF66))
| ~ spl73_116 ),
inference(resolution,[],[f1669,f691]) ).
fof(f3226,plain,
( ~ spl73_189
| spl73_258 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3219,plain,
( $false
| ~ spl73_189
| spl73_258 ),
inference(resolution,[],[f3196,f2478]) ).
fof(f2478,plain,
( v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189 ),
inference(resolution,[],[f2476,f789]) ).
fof(f3196,plain,
( ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| spl73_258 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f3214,plain,
( spl73_262
| ~ spl73_258
| ~ spl73_259
| ~ spl73_126
| ~ spl73_189 ),
inference(avatar_split_clause,[],[f3191,f2474,f1793,f3198,f3194,f3211]) ).
fof(f3211,plain,
( spl73_262
<=> sP37(sK39,sK40,k1_waybel34(sK40,sK39,sF67)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_262])]) ).
fof(f3191,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| sP37(sK39,sK40,k1_waybel34(sK40,sK39,sF67))
| ~ spl73_126
| ~ spl73_189 ),
inference(resolution,[],[f2482,f1794]) ).
fof(f3209,plain,
( ~ spl73_259
| ~ spl73_258
| spl73_261
| ~ spl73_130
| ~ spl73_189 ),
inference(avatar_split_clause,[],[f3190,f2474,f1870,f3207,f3194,f3198]) ).
fof(f3207,plain,
( spl73_261
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK40,sK39,sF67))) = k1_waybel_1(sK40,sK39,X0,k1_waybel34(sK40,sK39,sF67))
| ~ v1_funct_2(X0,sF66,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_261])]) ).
fof(f3190,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,k1_waybel34(sK40,sK39,sF67))) = k1_waybel_1(sK40,sK39,X0,k1_waybel34(sK40,sK39,sF67))
| ~ m2_relset_1(X0,sF66,sF72) )
| ~ spl73_130
| ~ spl73_189 ),
inference(resolution,[],[f2482,f1871]) ).
fof(f3205,plain,
( ~ spl73_258
| ~ spl73_259
| spl73_260
| ~ spl73_189
| ~ spl73_202 ),
inference(avatar_split_clause,[],[f3192,f2611,f2474,f3202,f3198,f3194]) ).
fof(f3202,plain,
( spl73_260
<=> k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sF67,k1_waybel34(sK40,sK39,sF67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_260])]) ).
fof(f3192,plain,
( k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(sF67,k1_waybel34(sK40,sK39,sF67)))
| ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_202 ),
inference(forward_demodulation,[],[f3189,f693]) ).
fof(f3189,plain,
( ~ m2_relset_1(k1_waybel34(sK40,sK39,sF67),sF72,sF66)
| k1_waybel_1(sK39,sK40,k1_waybel34(sK40,sK39,sF67),sF67) = k2_tarski(k1_tarski(k1_waybel34(sK40,sK39,sF67)),k2_tarski(k1_waybel34(sK40,sK39,sF67),sF67))
| ~ v1_funct_1(k1_waybel34(sK40,sK39,sF67))
| ~ spl73_189
| ~ spl73_202 ),
inference(resolution,[],[f2482,f2612]) ).
fof(f3171,plain,
( spl73_2
| ~ spl73_161
| ~ spl73_257
| ~ spl73_234
| spl73_236 ),
inference(avatar_split_clause,[],[f3166,f2877,f2868,f3168,f2285,f888]) ).
fof(f3166,plain,
( ~ m1_subset_1(sF71,sF72)
| ~ m1_subset_1(k1_tarski(sF71),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_236 ),
inference(forward_demodulation,[],[f3165,f854]) ).
fof(f3165,plain,
( ~ m1_subset_1(k1_tarski(sF71),k1_zfmisc_1(sF72))
| ~ m1_subset_1(sF71,u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_236 ),
inference(superposition,[],[f2879,f703]) ).
fof(f2879,plain,
( ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| spl73_236 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f3157,plain,
( ~ spl73_112
| spl73_256
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f3149,f1636,f3155,f1636]) ).
fof(f3149,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| ~ m2_relset_1(X2,sF66,sF66)
| ~ v1_funct_1(X2)
| m1_subset_1(k5_pre_topc(sK40,sK40,X2,X3),k1_zfmisc_1(sF66))
| ~ l1_struct_0(sK40) )
| ~ spl73_112 ),
inference(superposition,[],[f1691,f846]) ).
fof(f1691,plain,
( ! [X10,X11,X12] :
( ~ v1_funct_2(X10,u1_struct_0(X11),sF66)
| ~ m2_relset_1(X10,u1_struct_0(X11),sF66)
| ~ v1_funct_1(X10)
| m1_subset_1(k5_pre_topc(X11,sK40,X10,X12),k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_struct_0(X11) )
| ~ spl73_112 ),
inference(forward_literal_rewriting,[],[f1690,f803]) ).
fof(f1690,plain,
( ! [X10,X11,X12] :
( ~ v1_funct_2(X10,u1_struct_0(X11),sF66)
| ~ m1_relset_1(X10,u1_struct_0(X11),sF66)
| ~ v1_funct_1(X10)
| m1_subset_1(k5_pre_topc(X11,sK40,X10,X12),k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_struct_0(X11) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1689,f846]) ).
fof(f1689,plain,
( ! [X10,X11,X12] :
( ~ m1_relset_1(X10,u1_struct_0(X11),sF66)
| ~ v1_funct_2(X10,u1_struct_0(X11),u1_struct_0(sK40))
| ~ v1_funct_1(X10)
| m1_subset_1(k5_pre_topc(X11,sK40,X10,X12),k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_struct_0(X11) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1652,f846]) ).
fof(f1652,plain,
( ! [X10,X11,X12] :
( ~ m1_relset_1(X10,u1_struct_0(X11),u1_struct_0(sK40))
| ~ v1_funct_2(X10,u1_struct_0(X11),u1_struct_0(sK40))
| ~ v1_funct_1(X10)
| m1_subset_1(k5_pre_topc(X11,sK40,X10,X12),k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_struct_0(X11) )
| ~ spl73_112 ),
inference(resolution,[],[f1637,f809]) ).
fof(f809,plain,
! [X2,X3,X0,X1] :
( ~ l1_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& l1_struct_0(X0) )
=> m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k5_pre_topc) ).
fof(f3153,plain,
( ~ spl73_161
| spl73_255
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f3148,f1636,f3151,f2285]) ).
fof(f3148,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(X0,sF72,sF66)
| ~ v1_funct_1(X0)
| m1_subset_1(k5_pre_topc(sK39,sK40,X0,X1),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39) )
| ~ spl73_112 ),
inference(superposition,[],[f1691,f854]) ).
fof(f3145,plain,
( ~ spl73_161
| ~ spl73_119
| spl73_254
| ~ spl73_122
| ~ spl73_121
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f3144,f1636,f1744,f1748,f3139,f1736,f2285]) ).
fof(f3139,plain,
( spl73_254
<=> sF70 = k10_relat_1(sK41,sF69) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_254])]) ).
fof(f3144,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_2(sK41,sF72,sF66)
| sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_1(sK41)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f3143,f854]) ).
fof(f3143,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f3135,f854]) ).
fof(f3135,plain,
( sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(superposition,[],[f850,f1688]) ).
fof(f3142,plain,
( ~ spl73_161
| ~ spl73_119
| spl73_254
| ~ spl73_122
| ~ spl73_121
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f3137,f1636,f1744,f1748,f3139,f1736,f2285]) ).
fof(f3137,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_2(sK41,sF72,sF66)
| sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_1(sK41)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f3136,f854]) ).
fof(f3136,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f3134,f854]) ).
fof(f3134,plain,
( sF70 = k10_relat_1(sK41,sF69)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ l1_struct_0(sK39)
| ~ spl73_112 ),
inference(superposition,[],[f1688,f850]) ).
fof(f3133,plain,
( spl73_32
| ~ spl73_112
| spl73_253
| ~ spl73_101
| ~ spl73_116 ),
inference(avatar_split_clause,[],[f3128,f1668,f1547,f3130,f1636,f1088]) ).
fof(f3130,plain,
( spl73_253
<=> m1_subset_1(k1_tarski(sK42),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_253])]) ).
fof(f3128,plain,
( ~ m1_subset_1(sK42,sF66)
| m1_subset_1(k1_tarski(sK42),k1_zfmisc_1(sF66))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40)
| ~ spl73_116 ),
inference(forward_demodulation,[],[f3127,f846]) ).
fof(f3127,plain,
( m1_subset_1(k1_tarski(sK42),k1_zfmisc_1(sF66))
| ~ m1_subset_1(sK42,u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40)
| ~ spl73_116 ),
inference(superposition,[],[f2856,f703]) ).
fof(f2856,plain,
( m1_subset_1(k1_struct_0(sK40,sK42),k1_zfmisc_1(sF66))
| ~ spl73_116 ),
inference(resolution,[],[f1669,f853]) ).
fof(f853,plain,
m1_subset_1(sK42,sF66),
inference(definition_folding,[],[f515,f846]) ).
fof(f515,plain,
m1_subset_1(sK42,u1_struct_0(sK40)),
inference(cnf_transformation,[],[f385]) ).
fof(f3121,plain,
( ~ spl73_145
| spl73_252
| ~ spl73_146
| ~ spl73_147
| ~ spl73_203 ),
inference(avatar_split_clause,[],[f3104,f2621,f2041,f2037,f3118,f2033]) ).
fof(f3104,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| k2_tarski(k1_tarski(sF67),k2_tarski(sF67,sK41)) = k1_waybel_1(sK40,sK39,sF67,sK41)
| ~ v1_funct_1(sF67)
| ~ spl73_147
| ~ spl73_203 ),
inference(resolution,[],[f2622,f2042]) ).
fof(f3116,plain,
( ~ spl73_221
| ~ spl73_193
| spl73_251
| ~ spl73_195
| ~ spl73_203 ),
inference(avatar_split_clause,[],[f3111,f2621,f2541,f3113,f2525,f2733]) ).
fof(f3111,plain,
( k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK41,sK52(sK39,sK40)))
| ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_203 ),
inference(forward_demodulation,[],[f3103,f693]) ).
fof(f3103,plain,
( ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK52(sK39,sK40)),k2_tarski(sK52(sK39,sK40),sK41)) = k1_waybel_1(sK40,sK39,sK52(sK39,sK40),sK41)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ spl73_195
| ~ spl73_203 ),
inference(resolution,[],[f2622,f2543]) ).
fof(f3110,plain,
( ~ spl73_182
| ~ spl73_154
| spl73_250
| ~ spl73_156
| ~ spl73_203 ),
inference(avatar_split_clause,[],[f3105,f2621,f2246,f3107,f2231,f2416]) ).
fof(f3105,plain,
( k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41) = k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK41,sK51(sK39,sK40)))
| ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ spl73_156
| ~ spl73_203 ),
inference(forward_demodulation,[],[f3102,f693]) ).
fof(f3102,plain,
( ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| k2_tarski(k1_tarski(sK51(sK39,sK40)),k2_tarski(sK51(sK39,sK40),sK41)) = k1_waybel_1(sK40,sK39,sK51(sK39,sK40),sK41)
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ spl73_156
| ~ spl73_203 ),
inference(resolution,[],[f2622,f2248]) ).
fof(f3101,plain,
spl73_245,
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3100,plain,
( $false
| spl73_245 ),
inference(resolution,[],[f3052,f828]) ).
fof(f828,plain,
v3_orders_2(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f3052,plain,
( ~ v3_orders_2(sK62)
| spl73_245 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f3050,plain,
( spl73_245
<=> v3_orders_2(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_245])]) ).
fof(f3099,plain,
( ~ spl73_226
| ~ spl73_196
| spl73_249
| ~ spl73_198
| ~ spl73_202 ),
inference(avatar_split_clause,[],[f3094,f2611,f2563,f3096,f2549,f2780]) ).
fof(f3094,plain,
( k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sF67,sK52(sK40,sK39)))
| ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ spl73_198
| ~ spl73_202 ),
inference(forward_demodulation,[],[f3081,f693]) ).
fof(f3081,plain,
( ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK52(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK52(sK40,sK39)),k2_tarski(sK52(sK40,sK39),sF67))
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ spl73_198
| ~ spl73_202 ),
inference(resolution,[],[f2612,f2565]) ).
fof(f3093,plain,
( ~ spl73_185
| ~ spl73_157
| spl73_248
| ~ spl73_159
| ~ spl73_202 ),
inference(avatar_split_clause,[],[f3088,f2611,f2269,f3090,f2255,f2438]) ).
fof(f3088,plain,
( k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sF67,sK51(sK40,sK39)))
| ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ spl73_159
| ~ spl73_202 ),
inference(forward_demodulation,[],[f3080,f693]) ).
fof(f3080,plain,
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| k1_waybel_1(sK39,sK40,sK51(sK40,sK39),sF67) = k2_tarski(k1_tarski(sK51(sK40,sK39)),k2_tarski(sK51(sK40,sK39),sF67))
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ spl73_159
| ~ spl73_202 ),
inference(resolution,[],[f2612,f2271]) ).
fof(f3087,plain,
( ~ spl73_119
| ~ spl73_121
| spl73_247
| ~ spl73_202 ),
inference(avatar_split_clause,[],[f3082,f2611,f3084,f1744,f1736]) ).
fof(f3082,plain,
( k1_waybel_1(sK39,sK40,sK41,sF67) = k2_tarski(k1_tarski(sK41),k2_tarski(sF67,sK41))
| ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_1(sK41)
| ~ spl73_202 ),
inference(forward_demodulation,[],[f3079,f693]) ).
fof(f3079,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| k1_waybel_1(sK39,sK40,sK41,sF67) = k2_tarski(k1_tarski(sK41),k2_tarski(sK41,sF67))
| ~ v1_funct_1(sK41)
| ~ spl73_202 ),
inference(resolution,[],[f2612,f856]) ).
fof(f3078,plain,
spl73_244,
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| spl73_244 ),
inference(resolution,[],[f3048,f829]) ).
fof(f829,plain,
v4_orders_2(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f3048,plain,
( ~ v4_orders_2(sK62)
| spl73_244 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f3046,plain,
( spl73_244
<=> v4_orders_2(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_244])]) ).
fof(f3075,plain,
spl73_243,
inference(avatar_contradiction_clause,[],[f3074]) ).
fof(f3074,plain,
( $false
| spl73_243 ),
inference(resolution,[],[f3044,f830]) ).
fof(f830,plain,
v1_lattice3(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f3044,plain,
( ~ v1_lattice3(sK62)
| spl73_243 ),
inference(avatar_component_clause,[],[f3042]) ).
fof(f3069,plain,
( spl73_246
| ~ spl73_241
| ~ spl73_242
| ~ spl73_243
| ~ spl73_244
| ~ spl73_245
| ~ spl73_56 ),
inference(avatar_split_clause,[],[f3058,f1221,f3050,f3046,f3042,f3038,f3034,f3066]) ).
fof(f3066,plain,
( spl73_246
<=> m1_subset_1(sK52(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_246])]) ).
fof(f3038,plain,
( spl73_242
<=> v2_orders_2(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_242])]) ).
fof(f1221,plain,
( spl73_56
<=> ! [X25] :
( sP36(sK40,X25)
| ~ v2_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v4_orders_2(X25)
| ~ v1_lattice3(X25)
| ~ v2_lattice3(X25)
| ~ l1_orders_2(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_56])]) ).
fof(f3058,plain,
( ~ v3_orders_2(sK62)
| ~ v4_orders_2(sK62)
| ~ v1_lattice3(sK62)
| ~ v2_orders_2(sK62)
| ~ l1_orders_2(sK62)
| m1_subset_1(sK52(sK40,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF66)))
| ~ spl73_56 ),
inference(resolution,[],[f2545,f831]) ).
fof(f831,plain,
v2_lattice3(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f2545,plain,
( ! [X0] :
( ~ v2_lattice3(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| m1_subset_1(sK52(sK40,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF66))) )
| ~ spl73_56 ),
inference(resolution,[],[f1707,f787]) ).
fof(f1707,plain,
( ! [X0] :
( m2_relset_1(sK52(sK40,X0),u1_struct_0(X0),sF66)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_56 ),
inference(forward_literal_rewriting,[],[f1706,f804]) ).
fof(f1706,plain,
( ! [X0] :
( m1_relset_1(sK52(sK40,X0),u1_struct_0(X0),sF66)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_56 ),
inference(forward_demodulation,[],[f1703,f846]) ).
fof(f1703,plain,
( ! [X0] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK52(sK40,X0),u1_struct_0(X0),u1_struct_0(sK40)) )
| ~ spl73_56 ),
inference(resolution,[],[f1222,f775]) ).
fof(f775,plain,
! [X0,X1] :
( ~ sP36(X0,X1)
| m1_relset_1(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1] :
( ( v19_waybel_0(sK52(X0,X1),X1,X0)
& v1_funct_2(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK52(X0,X1))
& v1_relat_1(sK52(X0,X1))
& m1_relset_1(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP36(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f465,f466]) ).
fof(f466,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v19_waybel_0(sK52(X0,X1),X1,X0)
& v1_funct_2(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK52(X0,X1))
& v1_relat_1(sK52(X0,X1))
& m1_relset_1(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f465,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP36(X0,X1) ),
inference(rectify,[],[f464]) ).
fof(f464,plain,
! [X1,X0] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP36(X1,X0) ),
inference(nnf_transformation,[],[f375]) ).
fof(f375,plain,
! [X1,X0] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP36(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1222,plain,
( ! [X25] :
( sP36(sK40,X25)
| ~ v2_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v4_orders_2(X25)
| ~ v1_lattice3(X25)
| ~ v2_lattice3(X25)
| ~ l1_orders_2(X25) )
| ~ spl73_56 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f3064,plain,
spl73_242,
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3063,plain,
( $false
| spl73_242 ),
inference(resolution,[],[f3040,f827]) ).
fof(f827,plain,
v2_orders_2(sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f3040,plain,
( ~ v2_orders_2(sK62)
| spl73_242 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3057,plain,
spl73_241,
inference(avatar_contradiction_clause,[],[f3056]) ).
fof(f3056,plain,
( $false
| spl73_241 ),
inference(resolution,[],[f3036,f825]) ).
fof(f3036,plain,
( ~ l1_orders_2(sK62)
| spl73_241 ),
inference(avatar_component_clause,[],[f3034]) ).
fof(f3053,plain,
( spl73_240
| ~ spl73_241
| ~ spl73_242
| ~ spl73_243
| ~ spl73_244
| ~ spl73_245
| ~ spl73_26 ),
inference(avatar_split_clause,[],[f3026,f1021,f3050,f3046,f3042,f3038,f3034,f3030]) ).
fof(f3030,plain,
( spl73_240
<=> m1_subset_1(sK52(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_240])]) ).
fof(f1021,plain,
( spl73_26
<=> ! [X25] :
( sP36(sK39,X25)
| ~ v2_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v4_orders_2(X25)
| ~ v1_lattice3(X25)
| ~ v2_lattice3(X25)
| ~ l1_orders_2(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_26])]) ).
fof(f3026,plain,
( ~ v3_orders_2(sK62)
| ~ v4_orders_2(sK62)
| ~ v1_lattice3(sK62)
| ~ v2_orders_2(sK62)
| ~ l1_orders_2(sK62)
| m1_subset_1(sK52(sK39,sK62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK62),sF72)))
| ~ spl73_26 ),
inference(resolution,[],[f2516,f831]) ).
fof(f2516,plain,
( ! [X0] :
( ~ v2_lattice3(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| m1_subset_1(sK52(sK39,X0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),sF72))) )
| ~ spl73_26 ),
inference(resolution,[],[f1696,f787]) ).
fof(f1696,plain,
( ! [X0] :
( m2_relset_1(sK52(sK39,X0),u1_struct_0(X0),sF72)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_26 ),
inference(forward_literal_rewriting,[],[f1695,f804]) ).
fof(f1695,plain,
( ! [X0] :
( m1_relset_1(sK52(sK39,X0),u1_struct_0(X0),sF72)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl73_26 ),
inference(forward_demodulation,[],[f1692,f854]) ).
fof(f1692,plain,
( ! [X0] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| m1_relset_1(sK52(sK39,X0),u1_struct_0(X0),u1_struct_0(sK39)) )
| ~ spl73_26 ),
inference(resolution,[],[f1022,f775]) ).
fof(f1022,plain,
( ! [X25] :
( sP36(sK39,X25)
| ~ v2_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v4_orders_2(X25)
| ~ v1_lattice3(X25)
| ~ v2_lattice3(X25)
| ~ l1_orders_2(X25) )
| ~ spl73_26 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f2896,plain,
spl73_234,
inference(avatar_contradiction_clause,[],[f2895]) ).
fof(f2895,plain,
( $false
| spl73_234 ),
inference(resolution,[],[f2870,f1370]) ).
fof(f2870,plain,
( ~ m1_subset_1(sF71,sF72)
| spl73_234 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f2894,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_61
| spl73_238
| ~ spl73_239
| ~ spl73_236
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2885,f912,f2877,f2891,f2887,f1260,f906,f888]) ).
fof(f2885,plain,
( ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ v1_xboole_0(k7_waybel_0(sK39,sF71))
| v1_xboole_0(k1_struct_0(sK39,sF71))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2861,f854]) ).
fof(f2861,plain,
( ~ v1_xboole_0(k7_waybel_0(sK39,sF71))
| ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(k1_struct_0(sK39,sF71))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(superposition,[],[f730,f1884]) ).
fof(f1884,plain,
( k7_waybel_0(sK39,sF71) = k5_waybel_0(sK39,k1_struct_0(sK39,sF71))
| ~ spl73_7 ),
inference(resolution,[],[f1370,f913]) ).
fof(f2884,plain,
( ~ spl73_235
| ~ spl73_236
| spl73_237
| ~ spl73_7
| ~ spl73_21 ),
inference(avatar_split_clause,[],[f2860,f990,f912,f2881,f2877,f2873]) ).
fof(f2860,plain,
( v2_waybel_0(k7_waybel_0(sK39,sF71),sK39)
| ~ m1_subset_1(k1_struct_0(sK39,sF71),k1_zfmisc_1(sF72))
| ~ v2_waybel_0(k1_struct_0(sK39,sF71),sK39)
| ~ spl73_7
| ~ spl73_21 ),
inference(superposition,[],[f991,f1884]) ).
fof(f2871,plain,
( spl73_2
| ~ spl73_161
| spl73_233
| ~ spl73_234
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2862,f912,f2868,f2864,f2285,f888]) ).
fof(f2864,plain,
( spl73_233
<=> k7_waybel_0(sK39,sF71) = k5_waybel_0(sK39,k1_tarski(sF71)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_233])]) ).
fof(f2862,plain,
( ~ m1_subset_1(sF71,sF72)
| k7_waybel_0(sK39,sF71) = k5_waybel_0(sK39,k1_tarski(sF71))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2859,f854]) ).
fof(f2859,plain,
( k7_waybel_0(sK39,sF71) = k5_waybel_0(sK39,k1_tarski(sF71))
| ~ m1_subset_1(sF71,u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(superposition,[],[f1884,f703]) ).
fof(f2855,plain,
( spl73_2
| ~ spl73_161
| ~ spl73_232
| ~ spl73_163
| spl73_165 ),
inference(avatar_split_clause,[],[f2850,f2302,f2293,f2852,f2285,f888]) ).
fof(f2850,plain,
( ~ m1_subset_1(sK48(sF72),sF72)
| ~ m1_subset_1(k1_tarski(sK48(sF72)),k1_zfmisc_1(sF72))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_165 ),
inference(forward_demodulation,[],[f2849,f854]) ).
fof(f2849,plain,
( ~ m1_subset_1(k1_tarski(sK48(sF72)),k1_zfmisc_1(sF72))
| ~ m1_subset_1(sK48(sF72),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| spl73_165 ),
inference(superposition,[],[f2304,f703]) ).
fof(f2304,plain,
( ~ m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72))
| spl73_165 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f2848,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| ~ spl73_56
| spl73_230 ),
inference(avatar_split_clause,[],[f2847,f2798,f1221,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2847,plain,
( ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_56
| spl73_230 ),
inference(resolution,[],[f2835,f1222]) ).
fof(f2835,plain,
( ~ sP36(sK40,sK40)
| spl73_230 ),
inference(resolution,[],[f2800,f777]) ).
fof(f777,plain,
! [X0,X1] :
( v1_funct_1(sK52(X0,X1))
| ~ sP36(X0,X1) ),
inference(cnf_transformation,[],[f467]) ).
fof(f2800,plain,
( ~ v1_funct_1(sK52(sK40,sK40))
| spl73_230 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f2822,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| ~ spl73_56
| spl73_226 ),
inference(avatar_split_clause,[],[f2821,f2780,f1221,f906,f921,f934,f946,f950,f1260]) ).
fof(f2821,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_56
| spl73_226 ),
inference(resolution,[],[f2807,f1222]) ).
fof(f2807,plain,
( ~ sP36(sK40,sK39)
| spl73_226 ),
inference(resolution,[],[f2782,f777]) ).
fof(f2782,plain,
( ~ v1_funct_1(sK52(sK40,sK39))
| spl73_226 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f2806,plain,
( spl73_231
| ~ spl73_230
| ~ spl73_197
| ~ spl73_127
| ~ spl73_199 ),
inference(avatar_split_clause,[],[f2793,f2568,f1797,f2554,f2798,f2803]) ).
fof(f2793,plain,
( ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK52(sK40,sK40))
| sP37(sK40,sK40,sK52(sK40,sK40))
| ~ spl73_127
| ~ spl73_199 ),
inference(resolution,[],[f2570,f1798]) ).
fof(f2801,plain,
( ~ spl73_197
| spl73_229
| ~ spl73_230
| ~ spl73_131
| ~ spl73_199 ),
inference(avatar_split_clause,[],[f2792,f2568,f1874,f2798,f2795,f2554]) ).
fof(f2792,plain,
( ! [X0] :
( ~ v1_funct_1(sK52(sK40,sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m2_relset_1(X0,sF66,sF66)
| k2_tarski(k1_tarski(sK52(sK40,sK40)),k2_tarski(sK52(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK52(sK40,sK40),X0)
| ~ m2_relset_1(sK52(sK40,sK40),sF66,sF66) )
| ~ spl73_131
| ~ spl73_199 ),
inference(resolution,[],[f2570,f1875]) ).
fof(f2791,plain,
( spl73_228
| ~ spl73_226
| ~ spl73_196
| ~ spl73_126
| ~ spl73_198 ),
inference(avatar_split_clause,[],[f2778,f2563,f1793,f2549,f2780,f2788]) ).
fof(f2778,plain,
( ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK52(sK40,sK39))
| sP37(sK39,sK40,sK52(sK40,sK39))
| ~ spl73_126
| ~ spl73_198 ),
inference(resolution,[],[f2565,f1794]) ).
fof(f2786,plain,
( ~ spl73_196
| ~ spl73_226
| spl73_227
| ~ spl73_130
| ~ spl73_198 ),
inference(avatar_split_clause,[],[f2777,f2563,f1870,f2784,f2780,f2549]) ).
fof(f2777,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK52(sK40,sK39))
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK40,sK39))) = k1_waybel_1(sK40,sK39,X0,sK52(sK40,sK39))
| ~ m2_relset_1(X0,sF66,sF72) )
| ~ spl73_130
| ~ spl73_198 ),
inference(resolution,[],[f2565,f1871]) ).
fof(f2776,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| ~ spl73_26
| spl73_223 ),
inference(avatar_split_clause,[],[f2775,f2750,f1021,f906,f921,f934,f946,f950,f1260]) ).
fof(f2775,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_26
| spl73_223 ),
inference(resolution,[],[f2767,f1022]) ).
fof(f2767,plain,
( ~ sP36(sK39,sK39)
| spl73_223 ),
inference(resolution,[],[f2752,f777]) ).
fof(f2752,plain,
( ~ v1_funct_1(sK52(sK39,sK39))
| spl73_223 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f2765,plain,
( ~ spl73_193
| ~ spl73_221
| spl73_225
| ~ spl73_129
| ~ spl73_195 ),
inference(avatar_split_clause,[],[f2761,f2541,f1852,f2763,f2733,f2525]) ).
fof(f2761,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK52(sK39,sK40))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,sK52(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK52(sK39,sK40)))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_195 ),
inference(resolution,[],[f2543,f1853]) ).
fof(f2760,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| ~ spl73_26
| spl73_221 ),
inference(avatar_split_clause,[],[f2759,f2733,f1021,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2759,plain,
( ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_26
| spl73_221 ),
inference(resolution,[],[f2737,f1022]) ).
fof(f2737,plain,
( ~ sP36(sK39,sK40)
| spl73_221 ),
inference(resolution,[],[f2735,f777]) ).
fof(f2735,plain,
( ~ v1_funct_1(sK52(sK39,sK40))
| spl73_221 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2758,plain,
( spl73_224
| ~ spl73_223
| ~ spl73_192
| ~ spl73_124
| ~ spl73_194 ),
inference(avatar_split_clause,[],[f2745,f2536,f1775,f2520,f2750,f2755]) ).
fof(f2745,plain,
( ~ m2_relset_1(sK52(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK52(sK39,sK39))
| sP37(sK39,sK39,sK52(sK39,sK39))
| ~ spl73_124
| ~ spl73_194 ),
inference(resolution,[],[f2538,f1776]) ).
fof(f2753,plain,
( ~ spl73_192
| spl73_222
| ~ spl73_223
| ~ spl73_128
| ~ spl73_194 ),
inference(avatar_split_clause,[],[f2744,f2536,f1848,f2750,f2747,f2520]) ).
fof(f2744,plain,
( ! [X0] :
( ~ v1_funct_1(sK52(sK39,sK39))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK52(sK39,sK39)),k2_tarski(sK52(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK52(sK39,sK39),X0)
| ~ m2_relset_1(sK52(sK39,sK39),sF72,sF72) )
| ~ spl73_128
| ~ spl73_194 ),
inference(resolution,[],[f2538,f1849]) ).
fof(f2736,plain,
( spl73_220
| ~ spl73_221
| ~ spl73_195
| ~ spl73_125
| ~ spl73_193 ),
inference(avatar_split_clause,[],[f2726,f2525,f1779,f2541,f2733,f2729]) ).
fof(f2726,plain,
( ~ v1_funct_2(sK52(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK52(sK39,sK40))
| sP37(sK40,sK39,sK52(sK39,sK40))
| ~ spl73_125
| ~ spl73_193 ),
inference(resolution,[],[f2527,f1780]) ).
fof(f2527,plain,
( m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ spl73_193 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2722,plain,
( spl73_218
| spl73_219 ),
inference(avatar_split_clause,[],[f2714,f2719,f2716]) ).
fof(f2719,plain,
( spl73_219
<=> v1_xboole_0(sK48(k1_zfmisc_1(sK63))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_219])]) ).
fof(f2714,plain,
! [X2] :
( v1_xboole_0(sK48(k1_zfmisc_1(sK63)))
| ~ m1_subset_1(X2,sK48(k1_zfmisc_1(sK63))) ),
inference(resolution,[],[f2051,f691]) ).
fof(f2051,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK63))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f1926,f700]) ).
fof(f700,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',t2_subset) ).
fof(f1926,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK63)) ),
inference(backward_demodulation,[],[f1898,f1917]) ).
fof(f1917,plain,
k1_xboole_0 = sK63,
inference(resolution,[],[f641,f837]) ).
fof(f837,plain,
v1_xboole_0(sK63),
inference(cnf_transformation,[],[f492]) ).
fof(f492,plain,
( v1_funct_1(sK63)
& v1_xboole_0(sK63)
& v1_relat_1(sK63) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f108,f491]) ).
fof(f491,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK63)
& v1_xboole_0(sK63)
& v1_relat_1(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f108,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc2_funct_1) ).
fof(f641,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',t6_boole) ).
fof(f1898,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(X1,X0) ),
inference(resolution,[],[f517,f805]) ).
fof(f805,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',t5_subset) ).
fof(f517,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc6_membered) ).
fof(f2711,plain,
( ~ spl73_216
| spl73_217
| ~ spl73_146 ),
inference(avatar_split_clause,[],[f2675,f2037,f2708,f2704]) ).
fof(f2704,plain,
( spl73_216
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_216])]) ).
fof(f2708,plain,
( spl73_217
<=> sP15(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_217])]) ).
fof(f2675,plain,
( sP15(sF67)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF72)))
| ~ spl73_146 ),
inference(resolution,[],[f2472,f633]) ).
fof(f2472,plain,
( m1_subset_1(sF67,k1_zfmisc_1(k2_zfmisc_1(sF66,sF72)))
| ~ spl73_146 ),
inference(resolution,[],[f2038,f787]) ).
fof(f2038,plain,
( m2_relset_1(sF67,sF66,sF72)
| ~ spl73_146 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2702,plain,
( ~ spl73_214
| spl73_215
| ~ spl73_146 ),
inference(avatar_split_clause,[],[f2674,f2037,f2699,f2695]) ).
fof(f2695,plain,
( spl73_214
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_214])]) ).
fof(f2699,plain,
( spl73_215
<=> sP18(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_215])]) ).
fof(f2674,plain,
( sP18(sF67)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF66,sF72)))
| ~ spl73_146 ),
inference(resolution,[],[f2472,f652]) ).
fof(f2693,plain,
( ~ spl73_212
| spl73_213
| ~ spl73_146 ),
inference(avatar_split_clause,[],[f2673,f2037,f2690,f2686]) ).
fof(f2686,plain,
( spl73_212
<=> v4_membered(k2_zfmisc_1(sF66,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_212])]) ).
fof(f2690,plain,
( spl73_213
<=> sP16(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_213])]) ).
fof(f2673,plain,
( sP16(sF67)
| ~ v4_membered(k2_zfmisc_1(sF66,sF72))
| ~ spl73_146 ),
inference(resolution,[],[f2472,f638]) ).
fof(f2684,plain,
( ~ spl73_210
| spl73_211
| ~ spl73_146 ),
inference(avatar_split_clause,[],[f2672,f2037,f2681,f2677]) ).
fof(f2677,plain,
( spl73_210
<=> v3_membered(k2_zfmisc_1(sF66,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_210])]) ).
fof(f2681,plain,
( spl73_211
<=> sP19(sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_211])]) ).
fof(f2672,plain,
( sP19(sF67)
| ~ v3_membered(k2_zfmisc_1(sF66,sF72))
| ~ spl73_146 ),
inference(resolution,[],[f2472,f656]) ).
fof(f2671,plain,
( spl73_32
| ~ spl73_66
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_209
| ~ spl73_42 ),
inference(avatar_split_clause,[],[f2663,f1138,f2669,f1106,f1121,f1134,f1301,f1088]) ).
fof(f2669,plain,
( spl73_209
<=> ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| sP23(sK40,X3,sK40,X2)
| ~ m2_relset_1(X2,sF66,sF66)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,sF66,sF66)
| ~ v3_waybel_1(k1_waybel_1(sK40,sK40,X3,X2),sK40,sK40)
| ~ m2_relset_1(X3,sF66,sF66)
| ~ v1_funct_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_209])]) ).
fof(f1138,plain,
( spl73_42
<=> ! [X4,X2,X3] :
( ~ v1_funct_2(X4,u1_struct_0(X3),sF66)
| v3_struct_0(X3)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| sP24(X2,X3,X4,sK40)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_2(X2,sF66,u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_42])]) ).
fof(f2663,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| ~ v1_funct_2(X3,sF66,sF66)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,sF66)
| v3_struct_0(sK40)
| ~ m2_relset_1(X3,sF66,sF66)
| ~ v3_waybel_1(k1_waybel_1(sK40,sK40,X3,X2),sK40,sK40)
| sP23(sK40,X3,sK40,X2) )
| ~ spl73_42 ),
inference(superposition,[],[f1960,f846]) ).
fof(f1960,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,sF66,u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF66)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF66)
| ~ v3_waybel_1(k1_waybel_1(X0,sK40,X1,X2),X0,sK40)
| sP23(sK40,X1,X0,X2) )
| ~ spl73_42 ),
inference(resolution,[],[f1139,f680]) ).
fof(f680,plain,
! [X2,X3,X0,X1] :
( ~ sP24(X0,X1,X2,X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X3,X2,X0),X1,X3)
| sP23(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2,X3] :
( ( ( v3_waybel_1(k1_waybel_1(X1,X3,X2,X0),X1,X3)
| ~ sP23(X3,X2,X1,X0) )
& ( sP23(X3,X2,X1,X0)
| ~ v3_waybel_1(k1_waybel_1(X1,X3,X2,X0),X1,X3) ) )
| ~ sP24(X0,X1,X2,X3) ),
inference(rectify,[],[f426]) ).
fof(f426,plain,
! [X3,X0,X2,X1] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ sP23(X1,X2,X0,X3) )
& ( sP23(X1,X2,X0,X3)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| ~ sP24(X3,X0,X2,X1) ),
inference(nnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X3,X0,X2,X1] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> sP23(X1,X2,X0,X3) )
| ~ sP24(X3,X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1139,plain,
( ! [X2,X3,X4] :
( sP24(X2,X3,X4,sK40)
| v3_struct_0(X3)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_2(X4,u1_struct_0(X3),sF66)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_2(X2,sF66,u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),sF66) )
| ~ spl73_42 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f2667,plain,
( spl73_2
| ~ spl73_61
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_208
| ~ spl73_42 ),
inference(avatar_split_clause,[],[f2662,f1138,f2665,f906,f921,f934,f1260,f888]) ).
fof(f2662,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF66,sF72)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF66,sF72)
| v3_struct_0(sK39)
| ~ m2_relset_1(X1,sF72,sF66)
| ~ v3_waybel_1(k1_waybel_1(sK39,sK40,X1,X0),sK39,sK40)
| sP23(sK40,X1,sK39,X0) )
| ~ spl73_42 ),
inference(superposition,[],[f1960,f854]) ).
fof(f2656,plain,
( spl73_32
| ~ spl73_66
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_207
| ~ spl73_12 ),
inference(avatar_split_clause,[],[f2648,f938,f2654,f1106,f1121,f1134,f1301,f1088]) ).
fof(f938,plain,
( spl73_12
<=> ! [X4,X2,X3] :
( ~ v1_funct_2(X4,u1_struct_0(X3),sF72)
| v3_struct_0(X3)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| sP24(X2,X3,X4,sK39)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_2(X2,sF72,u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_12])]) ).
fof(f2648,plain,
( ! [X2,X3] :
( ~ v1_funct_2(X2,sF72,sF66)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| ~ v1_funct_2(X3,sF66,sF72)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF72,sF66)
| v3_struct_0(sK40)
| ~ m2_relset_1(X3,sF66,sF72)
| ~ v3_waybel_1(k1_waybel_1(sK40,sK39,X3,X2),sK40,sK39)
| sP23(sK39,X3,sK40,X2) )
| ~ spl73_12 ),
inference(superposition,[],[f1882,f846]) ).
fof(f1882,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,sF72,u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF72)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF72,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF72)
| ~ v3_waybel_1(k1_waybel_1(X0,sK39,X1,X2),X0,sK39)
| sP23(sK39,X1,X0,X2) )
| ~ spl73_12 ),
inference(resolution,[],[f939,f680]) ).
fof(f939,plain,
( ! [X2,X3,X4] :
( sP24(X2,X3,X4,sK39)
| v3_struct_0(X3)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_2(X4,u1_struct_0(X3),sF72)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_2(X2,sF72,u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),sF72) )
| ~ spl73_12 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f2652,plain,
( spl73_2
| ~ spl73_61
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_206
| ~ spl73_12 ),
inference(avatar_split_clause,[],[f2647,f938,f2650,f906,f921,f934,f1260,f888]) ).
fof(f2647,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF72)
| v3_struct_0(sK39)
| ~ m2_relset_1(X1,sF72,sF72)
| ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X1,X0),sK39,sK39)
| sP23(sK39,X1,sK39,X0) )
| ~ spl73_12 ),
inference(superposition,[],[f1882,f854]) ).
fof(f2641,plain,
( ~ spl73_158
| spl73_205
| ~ spl73_191
| ~ spl73_131
| ~ spl73_160 ),
inference(avatar_split_clause,[],[f2635,f2274,f1874,f2499,f2639,f2260]) ).
fof(f2635,plain,
( ! [X0] :
( ~ v1_funct_1(sK51(sK40,sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF66,sF66)
| ~ m2_relset_1(X0,sF66,sF66)
| k2_tarski(k1_tarski(sK51(sK40,sK40)),k2_tarski(sK51(sK40,sK40),X0)) = k1_waybel_1(sK40,sK40,sK51(sK40,sK40),X0)
| ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66) )
| ~ spl73_131
| ~ spl73_160 ),
inference(resolution,[],[f1875,f2276]) ).
fof(f2637,plain,
( ~ spl73_66
| ~ spl73_54
| spl73_191 ),
inference(avatar_split_clause,[],[f2636,f2499,f1208,f1301]) ).
fof(f2636,plain,
( ~ l1_orders_2(sK40)
| ~ spl73_54
| spl73_191 ),
inference(resolution,[],[f2628,f1209]) ).
fof(f2628,plain,
( ~ sP34(sK40,sK40)
| spl73_191 ),
inference(resolution,[],[f2501,f764]) ).
fof(f764,plain,
! [X0,X1] :
( v1_funct_1(sK51(X0,X1))
| ~ sP34(X0,X1) ),
inference(cnf_transformation,[],[f461]) ).
fof(f2501,plain,
( ~ v1_funct_1(sK51(sK40,sK40))
| spl73_191 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f2627,plain,
( ~ spl73_157
| ~ spl73_185
| spl73_204
| ~ spl73_130
| ~ spl73_159 ),
inference(avatar_split_clause,[],[f2619,f2269,f1870,f2625,f2438,f2255]) ).
fof(f2619,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(sK51(sK40,sK39))
| ~ v1_funct_2(X1,sF66,sF72)
| ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| k2_tarski(k1_tarski(X1),k2_tarski(X1,sK51(sK40,sK39))) = k1_waybel_1(sK40,sK39,X1,sK51(sK40,sK39))
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_130
| ~ spl73_159 ),
inference(resolution,[],[f1871,f2271]) ).
fof(f2623,plain,
( ~ spl73_121
| ~ spl73_119
| spl73_203
| ~ spl73_130 ),
inference(avatar_split_clause,[],[f2618,f1870,f2621,f1736,f1744]) ).
fof(f2618,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(sK41,sF72,sF66)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,sK41)) = k1_waybel_1(sK40,sK39,X0,sK41)
| ~ m2_relset_1(X0,sF66,sF72) )
| ~ spl73_130 ),
inference(resolution,[],[f1871,f856]) ).
fof(f2613,plain,
( ~ spl73_146
| ~ spl73_145
| spl73_202
| ~ spl73_129
| ~ spl73_147 ),
inference(avatar_split_clause,[],[f2605,f2041,f1852,f2611,f2033,f2037]) ).
fof(f2605,plain,
( ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ m2_relset_1(sF67,sF66,sF72)
| k1_waybel_1(sK39,sK40,X1,sF67) = k2_tarski(k1_tarski(X1),k2_tarski(X1,sF67))
| ~ m2_relset_1(X1,sF72,sF66) )
| ~ spl73_129
| ~ spl73_147 ),
inference(resolution,[],[f1853,f2042]) ).
fof(f2609,plain,
( ~ spl73_154
| ~ spl73_182
| spl73_201
| ~ spl73_129
| ~ spl73_156 ),
inference(avatar_split_clause,[],[f2604,f2246,f1852,f2607,f2416,f2231]) ).
fof(f2604,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(sK51(sK39,sK40))
| ~ v1_funct_2(X0,sF72,sF66)
| ~ m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| k1_waybel_1(sK39,sK40,X0,sK51(sK39,sK40)) = k2_tarski(k1_tarski(X0),k2_tarski(X0,sK51(sK39,sK40)))
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_129
| ~ spl73_156 ),
inference(resolution,[],[f1853,f2248]) ).
fof(f2598,plain,
( ~ spl73_153
| spl73_200
| ~ spl73_177
| ~ spl73_128
| ~ spl73_155 ),
inference(avatar_split_clause,[],[f2594,f2241,f1848,f2390,f2596,f2226]) ).
fof(f2594,plain,
( ! [X0] :
( ~ v1_funct_1(sK51(sK39,sK39))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(sK51(sK39,sK39)),k2_tarski(sK51(sK39,sK39),X0)) = k1_waybel_1(sK39,sK39,sK51(sK39,sK39),X0)
| ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72) )
| ~ spl73_128
| ~ spl73_155 ),
inference(resolution,[],[f1849,f2243]) ).
fof(f2581,plain,
( ~ spl73_61
| ~ spl73_54
| spl73_185 ),
inference(avatar_split_clause,[],[f2580,f2438,f1208,f1260]) ).
fof(f2580,plain,
( ~ l1_orders_2(sK39)
| ~ spl73_54
| spl73_185 ),
inference(resolution,[],[f2572,f1209]) ).
fof(f2572,plain,
( ~ sP34(sK40,sK39)
| spl73_185 ),
inference(resolution,[],[f2440,f764]) ).
fof(f2440,plain,
( ~ v1_funct_1(sK51(sK40,sK39))
| spl73_185 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2571,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_199
| ~ spl73_56 ),
inference(avatar_split_clause,[],[f2560,f1221,f2568,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2560,plain,
( v1_funct_2(sK52(sK40,sK40),sF66,sF66)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_56 ),
inference(superposition,[],[f1708,f846]) ).
fof(f1708,plain,
( ! [X1] :
( v1_funct_2(sK52(sK40,X1),u1_struct_0(X1),sF66)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_56 ),
inference(forward_demodulation,[],[f1704,f846]) ).
fof(f1704,plain,
( ! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK52(sK40,X1),u1_struct_0(X1),u1_struct_0(sK40)) )
| ~ spl73_56 ),
inference(resolution,[],[f1222,f778]) ).
fof(f778,plain,
! [X0,X1] :
( ~ sP36(X0,X1)
| v1_funct_2(sK52(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f467]) ).
fof(f2566,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_198
| ~ spl73_56 ),
inference(avatar_split_clause,[],[f2559,f1221,f2563,f906,f921,f934,f946,f950,f1260]) ).
fof(f2559,plain,
( v1_funct_2(sK52(sK40,sK39),sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_56 ),
inference(superposition,[],[f1708,f854]) ).
fof(f2557,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_197
| ~ spl73_56 ),
inference(avatar_split_clause,[],[f2547,f1221,f2554,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2547,plain,
( m2_relset_1(sK52(sK40,sK40),sF66,sF66)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_56 ),
inference(superposition,[],[f1707,f846]) ).
fof(f2552,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_196
| ~ spl73_56 ),
inference(avatar_split_clause,[],[f2546,f1221,f2549,f906,f921,f934,f946,f950,f1260]) ).
fof(f2546,plain,
( m2_relset_1(sK52(sK40,sK39),sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_56 ),
inference(superposition,[],[f1707,f854]) ).
fof(f2544,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_195
| ~ spl73_26 ),
inference(avatar_split_clause,[],[f2533,f1021,f2541,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2533,plain,
( v1_funct_2(sK52(sK39,sK40),sF66,sF72)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_26 ),
inference(superposition,[],[f1697,f846]) ).
fof(f1697,plain,
( ! [X1] :
( v1_funct_2(sK52(sK39,X1),u1_struct_0(X1),sF72)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ spl73_26 ),
inference(forward_demodulation,[],[f1693,f854]) ).
fof(f1693,plain,
( ! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_funct_2(sK52(sK39,X1),u1_struct_0(X1),u1_struct_0(sK39)) )
| ~ spl73_26 ),
inference(resolution,[],[f1022,f778]) ).
fof(f2539,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_194
| ~ spl73_26 ),
inference(avatar_split_clause,[],[f2532,f1021,f2536,f906,f921,f934,f946,f950,f1260]) ).
fof(f2532,plain,
( v1_funct_2(sK52(sK39,sK39),sF72,sF72)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_26 ),
inference(superposition,[],[f1697,f854]) ).
fof(f2530,plain,
( ~ spl73_66
| ~ spl73_24
| spl73_182 ),
inference(avatar_split_clause,[],[f2529,f2416,f1008,f1301]) ).
fof(f2529,plain,
( ~ l1_orders_2(sK40)
| ~ spl73_24
| spl73_182 ),
inference(resolution,[],[f2509,f1009]) ).
fof(f2509,plain,
( ~ sP34(sK39,sK40)
| spl73_182 ),
inference(resolution,[],[f2418,f764]) ).
fof(f2418,plain,
( ~ v1_funct_1(sK51(sK39,sK40))
| spl73_182 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f2528,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_193
| ~ spl73_26 ),
inference(avatar_split_clause,[],[f2518,f1021,f2525,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f2518,plain,
( m2_relset_1(sK52(sK39,sK40),sF66,sF72)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_26 ),
inference(superposition,[],[f1696,f846]) ).
fof(f2523,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_192
| ~ spl73_26 ),
inference(avatar_split_clause,[],[f2517,f1021,f2520,f906,f921,f934,f946,f950,f1260]) ).
fof(f2517,plain,
( m2_relset_1(sK52(sK39,sK39),sF72,sF72)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_26 ),
inference(superposition,[],[f1696,f854]) ).
fof(f2504,plain,
( ~ spl73_61
| ~ spl73_24
| spl73_177 ),
inference(avatar_split_clause,[],[f2503,f2390,f1008,f1260]) ).
fof(f2503,plain,
( ~ l1_orders_2(sK39)
| ~ spl73_24
| spl73_177 ),
inference(resolution,[],[f2486,f1009]) ).
fof(f2486,plain,
( ~ sP34(sK39,sK39)
| spl73_177 ),
inference(resolution,[],[f2392,f764]) ).
fof(f2392,plain,
( ~ v1_funct_1(sK51(sK39,sK39))
| spl73_177 ),
inference(avatar_component_clause,[],[f2390]) ).
fof(f2502,plain,
( spl73_190
| ~ spl73_191
| ~ spl73_158
| ~ spl73_127
| ~ spl73_160 ),
inference(avatar_split_clause,[],[f2493,f2274,f1797,f2260,f2499,f2495]) ).
fof(f2493,plain,
( ~ m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ v1_funct_1(sK51(sK40,sK40))
| sP37(sK40,sK40,sK51(sK40,sK40))
| ~ spl73_127
| ~ spl73_160 ),
inference(resolution,[],[f1798,f2276]) ).
fof(f2477,plain,
( spl73_189
| ~ spl73_145
| ~ spl73_147
| ~ spl73_125
| ~ spl73_146 ),
inference(avatar_split_clause,[],[f2471,f2037,f1779,f2041,f2033,f2474]) ).
fof(f2471,plain,
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| sP37(sK40,sK39,sF67)
| ~ spl73_125
| ~ spl73_146 ),
inference(resolution,[],[f2038,f1780]) ).
fof(f2470,plain,
( ~ spl73_145
| spl73_188
| ~ spl73_66
| spl73_32
| ~ spl73_146
| ~ spl73_147
| ~ spl73_17
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f2465,f2013,f969,f2041,f2037,f1088,f1301,f2467,f2033]) ).
fof(f2467,plain,
( spl73_188
<=> sP26(sK39,sK40,sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_188])]) ).
fof(f969,plain,
( spl73_17
<=> ! [X11,X12] :
( ~ m2_relset_1(X11,u1_struct_0(X12),sF72)
| v3_struct_0(X12)
| ~ l1_orders_2(X12)
| sP26(sK39,X12,X11)
| ~ v1_funct_1(X11)
| ~ v18_waybel_0(X11,X12,sK39)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_17])]) ).
fof(f2465,plain,
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| sP26(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ spl73_17
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2122,f846]) ).
fof(f2122,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| sP26(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_17
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2121,f846]) ).
fof(f2121,plain,
( v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| sP26(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ m2_relset_1(sF67,u1_struct_0(sK40),sF72)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_17
| ~ spl73_143 ),
inference(resolution,[],[f2072,f970]) ).
fof(f970,plain,
( ! [X11,X12] :
( ~ v18_waybel_0(X11,X12,sK39)
| v3_struct_0(X12)
| ~ l1_orders_2(X12)
| sP26(sK39,X12,X11)
| ~ v1_funct_1(X11)
| ~ m2_relset_1(X11,u1_struct_0(X12),sF72)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF72) )
| ~ spl73_17 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f2072,plain,
( v18_waybel_0(sF67,sK40,sK39)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2060,f847]) ).
fof(f2060,plain,
( v18_waybel_0(k1_waybel34(sK39,sK40,sK41),sK40,sK39)
| ~ spl73_143 ),
inference(resolution,[],[f2015,f797]) ).
fof(f797,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f2464,plain,
( ~ spl73_145
| spl73_187
| ~ spl73_66
| ~ spl73_41
| ~ spl73_36
| spl73_32
| ~ spl73_146
| ~ spl73_147
| ~ spl73_23
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f2459,f2013,f1004,f2041,f2037,f1088,f1106,f1134,f1301,f2461,f2033]) ).
fof(f2461,plain,
( spl73_187
<=> sP30(sK39,sK40,sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_187])]) ).
fof(f1004,plain,
( spl73_23
<=> ! [X20,X19] :
( ~ m2_relset_1(X19,u1_struct_0(X20),sF72)
| v3_struct_0(X20)
| ~ v2_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ l1_orders_2(X20)
| sP30(sK39,X20,X19)
| ~ v1_funct_1(X19)
| ~ v22_waybel_0(X19,X20,sK39)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_23])]) ).
fof(f2459,plain,
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP30(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ spl73_23
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2129,f846]) ).
fof(f2129,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP30(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_23
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2128,f846]) ).
fof(f2128,plain,
( v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP30(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ m2_relset_1(sF67,u1_struct_0(sK40),sF72)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_23
| ~ spl73_143 ),
inference(resolution,[],[f2073,f1005]) ).
fof(f1005,plain,
( ! [X19,X20] :
( ~ v22_waybel_0(X19,X20,sK39)
| v3_struct_0(X20)
| ~ v2_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ l1_orders_2(X20)
| sP30(sK39,X20,X19)
| ~ v1_funct_1(X19)
| ~ m2_relset_1(X19,u1_struct_0(X20),sF72)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF72) )
| ~ spl73_23 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f2073,plain,
( v22_waybel_0(sF67,sK40,sK39)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2061,f847]) ).
fof(f2061,plain,
( v22_waybel_0(k1_waybel34(sK39,sK40,sK41),sK40,sK39)
| ~ spl73_143 ),
inference(resolution,[],[f2015,f798]) ).
fof(f798,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f2458,plain,
( ~ spl73_145
| spl73_186
| ~ spl73_66
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_32
| ~ spl73_146
| ~ spl73_147
| ~ spl73_22
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f2453,f2013,f997,f2041,f2037,f1088,f1106,f1121,f1134,f1301,f2455,f2033]) ).
fof(f2455,plain,
( spl73_186
<=> sP29(sK39,sK40,sF67) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_186])]) ).
fof(f997,plain,
( spl73_22
<=> ! [X18,X17] :
( ~ m2_relset_1(X17,u1_struct_0(X18),sF72)
| v3_struct_0(X18)
| ~ v2_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ l1_orders_2(X18)
| sP29(sK39,X18,X17)
| ~ v1_funct_1(X17)
| ~ v5_waybel_1(X17,sK39,X18)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_22])]) ).
fof(f2453,plain,
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP29(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ spl73_22
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2136,f846]) ).
fof(f2136,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP29(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_22
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2135,f846]) ).
fof(f2135,plain,
( v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ l1_orders_2(sK40)
| sP29(sK39,sK40,sF67)
| ~ v1_funct_1(sF67)
| ~ m2_relset_1(sF67,u1_struct_0(sK40),sF72)
| ~ v1_funct_2(sF67,u1_struct_0(sK40),sF72)
| ~ spl73_22
| ~ spl73_143 ),
inference(resolution,[],[f2074,f998]) ).
fof(f998,plain,
( ! [X18,X17] :
( ~ v5_waybel_1(X17,sK39,X18)
| v3_struct_0(X18)
| ~ v2_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ l1_orders_2(X18)
| sP29(sK39,X18,X17)
| ~ v1_funct_1(X17)
| ~ m2_relset_1(X17,u1_struct_0(X18),sF72)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF72) )
| ~ spl73_22 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f2074,plain,
( v5_waybel_1(sF67,sK39,sK40)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2062,f847]) ).
fof(f2062,plain,
( v5_waybel_1(k1_waybel34(sK39,sK40,sK41),sK39,sK40)
| ~ spl73_143 ),
inference(resolution,[],[f2015,f799]) ).
fof(f799,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1) ),
inference(cnf_transformation,[],[f475]) ).
fof(f2452,plain,
( spl73_146
| ~ spl73_183 ),
inference(avatar_split_clause,[],[f2451,f2429,f2037]) ).
fof(f2429,plain,
( spl73_183
<=> sP37(sK39,sK40,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_183])]) ).
fof(f2451,plain,
( m2_relset_1(sF67,sF66,sF72)
| ~ spl73_183 ),
inference(forward_demodulation,[],[f2450,f847]) ).
fof(f2450,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,sF72)
| ~ spl73_183 ),
inference(forward_demodulation,[],[f2449,f846]) ).
fof(f2449,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK41),u1_struct_0(sK40),sF72)
| ~ spl73_183 ),
inference(forward_demodulation,[],[f2444,f854]) ).
fof(f2444,plain,
( m2_relset_1(k1_waybel34(sK39,sK40,sK41),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_183 ),
inference(resolution,[],[f2431,f791]) ).
fof(f2431,plain,
( sP37(sK39,sK40,sK41)
| ~ spl73_183 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2441,plain,
( spl73_184
| ~ spl73_185
| ~ spl73_157
| ~ spl73_126
| ~ spl73_159 ),
inference(avatar_split_clause,[],[f2427,f2269,f1793,f2255,f2438,f2434]) ).
fof(f2427,plain,
( ~ m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| ~ v1_funct_1(sK51(sK40,sK39))
| sP37(sK39,sK40,sK51(sK40,sK39))
| ~ spl73_126
| ~ spl73_159 ),
inference(resolution,[],[f1794,f2271]) ).
fof(f2432,plain,
( spl73_183
| ~ spl73_119
| ~ spl73_121
| ~ spl73_126 ),
inference(avatar_split_clause,[],[f2426,f1793,f1744,f1736,f2429]) ).
fof(f2426,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_1(sK41)
| sP37(sK39,sK40,sK41)
| ~ spl73_126 ),
inference(resolution,[],[f1794,f856]) ).
fof(f2419,plain,
( spl73_181
| ~ spl73_182
| ~ spl73_156
| ~ spl73_125
| ~ spl73_154 ),
inference(avatar_split_clause,[],[f2397,f2231,f1779,f2246,f2416,f2412]) ).
fof(f2397,plain,
( ~ v1_funct_2(sK51(sK39,sK40),sF66,sF72)
| ~ v1_funct_1(sK51(sK39,sK40))
| sP37(sK40,sK39,sK51(sK39,sK40))
| ~ spl73_125
| ~ spl73_154 ),
inference(resolution,[],[f1780,f2233]) ).
fof(f2233,plain,
( m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| ~ spl73_154 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2410,plain,
( spl73_178
| ~ spl73_179
| ~ spl73_180
| ~ spl73_125 ),
inference(avatar_split_clause,[],[f2396,f1779,f2407,f2403,f2399]) ).
fof(f2399,plain,
( spl73_178
<=> sP37(sK40,sK39,sK54(sF66,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_178])]) ).
fof(f2403,plain,
( spl73_179
<=> v1_funct_1(sK54(sF66,sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_179])]) ).
fof(f2407,plain,
( spl73_180
<=> v1_funct_2(sK54(sF66,sF72),sF66,sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_180])]) ).
fof(f2396,plain,
( ~ v1_funct_2(sK54(sF66,sF72),sF66,sF72)
| ~ v1_funct_1(sK54(sF66,sF72))
| sP37(sK40,sK39,sK54(sF66,sF72))
| ~ spl73_125 ),
inference(resolution,[],[f1780,f785]) ).
fof(f785,plain,
! [X0,X1] : m2_relset_1(sK54(X0,X1),X0,X1),
inference(cnf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0,X1] : m2_relset_1(sK54(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f76,f470]) ).
fof(f470,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK54(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f76,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',existence_m2_relset_1) ).
fof(f2395,plain,
spl73_163,
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2394,plain,
( $false
| spl73_163 ),
inference(resolution,[],[f2295,f691]) ).
fof(f2295,plain,
( ~ m1_subset_1(sK48(sF72),sF72)
| spl73_163 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2393,plain,
( spl73_176
| ~ spl73_177
| ~ spl73_153
| ~ spl73_124
| ~ spl73_155 ),
inference(avatar_split_clause,[],[f2384,f2241,f1775,f2226,f2390,f2386]) ).
fof(f2384,plain,
( ~ m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ v1_funct_1(sK51(sK39,sK39))
| sP37(sK39,sK39,sK51(sK39,sK39))
| ~ spl73_124
| ~ spl73_155 ),
inference(resolution,[],[f1776,f2243]) ).
fof(f2383,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_61
| spl73_175
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2379,f912,f2381,f1260,f906,f888]) ).
fof(f2379,plain,
( ! [X1] :
( ~ m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X1)),k1_zfmisc_1(sF72))
| ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1)))
| v1_xboole_0(k1_struct_0(sK39,k2_yellow_0(sK39,X1)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) )
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2373,f854]) ).
fof(f2373,plain,
( ! [X1] :
( ~ v1_xboole_0(k7_waybel_0(sK39,k2_yellow_0(sK39,X1)))
| ~ m1_subset_1(k1_struct_0(sK39,k2_yellow_0(sK39,X1)),k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(k1_struct_0(sK39,k2_yellow_0(sK39,X1)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) )
| ~ spl73_7 ),
inference(superposition,[],[f730,f1627]) ).
fof(f2378,plain,
( spl73_2
| ~ spl73_161
| spl73_174
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2374,f912,f2376,f2285,f888]) ).
fof(f2374,plain,
( ! [X0] :
( ~ m1_subset_1(k2_yellow_0(sK39,X0),sF72)
| k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_tarski(k2_yellow_0(sK39,X0)))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39) )
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2371,f854]) ).
fof(f2371,plain,
( ! [X0] :
( k7_waybel_0(sK39,k2_yellow_0(sK39,X0)) = k5_waybel_0(sK39,k1_tarski(k2_yellow_0(sK39,X0)))
| ~ m1_subset_1(k2_yellow_0(sK39,X0),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39) )
| ~ spl73_7 ),
inference(superposition,[],[f1627,f703]) ).
fof(f2363,plain,
( spl73_2
| spl73_173
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f2359,f2285,f2361,f888]) ).
fof(f2359,plain,
( ! [X6,X4,X5] :
( ~ m2_relset_1(X6,X5,sF72)
| ~ v1_funct_2(X6,X5,sF72)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_1(X6)
| k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| v3_struct_0(sK39)
| v1_xboole_0(X5) )
| ~ spl73_161 ),
inference(forward_literal_rewriting,[],[f2358,f803]) ).
fof(f2358,plain,
( ! [X6,X4,X5] :
( ~ v1_funct_2(X6,X5,sF72)
| ~ m1_relset_1(X6,X5,sF72)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_1(X6)
| k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| v3_struct_0(sK39)
| v1_xboole_0(X5) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2357,f854]) ).
fof(f2357,plain,
( ! [X6,X4,X5] :
( ~ m1_relset_1(X6,X5,sF72)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| v3_struct_0(sK39)
| v1_xboole_0(X5) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2328,f854]) ).
fof(f2328,plain,
( ! [X6,X4,X5] :
( ~ m1_subset_1(X4,X5)
| ~ m1_relset_1(X6,X5,u1_struct_0(sK39))
| ~ v1_funct_2(X6,X5,u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_funct_1(X6,X4) = k7_yellow_2(X5,sK39,X6,X4)
| v3_struct_0(sK39)
| v1_xboole_0(X5) )
| ~ spl73_161 ),
inference(resolution,[],[f2286,f807]) ).
fof(f807,plain,
! [X2,X3,X0,X1] :
( ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,u1_struct_0(X1))
& v1_funct_2(X2,X0,u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',redefinition_k7_yellow_2) ).
fof(f2356,plain,
( spl73_2
| spl73_172
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f2352,f2285,f2354,f888]) ).
fof(f2352,plain,
( ! [X2,X3,X1] :
( ~ m2_relset_1(X3,X2,sF72)
| m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),sF72)
| ~ v1_funct_2(X3,X2,sF72)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| v3_struct_0(sK39)
| v1_xboole_0(X2) )
| ~ spl73_161 ),
inference(forward_literal_rewriting,[],[f2351,f803]) ).
fof(f2351,plain,
( ! [X2,X3,X1] :
( m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),sF72)
| ~ v1_funct_2(X3,X2,sF72)
| ~ m1_relset_1(X3,X2,sF72)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| v3_struct_0(sK39)
| v1_xboole_0(X2) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2350,f854]) ).
fof(f2350,plain,
( ! [X2,X3,X1] :
( ~ v1_funct_2(X3,X2,sF72)
| ~ m1_relset_1(X3,X2,sF72)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),u1_struct_0(sK39))
| v3_struct_0(sK39)
| v1_xboole_0(X2) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2349,f854]) ).
fof(f2349,plain,
( ! [X2,X3,X1] :
( ~ m1_relset_1(X3,X2,sF72)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,u1_struct_0(sK39))
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),u1_struct_0(sK39))
| v3_struct_0(sK39)
| v1_xboole_0(X2) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2327,f854]) ).
fof(f2327,plain,
( ! [X2,X3,X1] :
( ~ m1_subset_1(X1,X2)
| ~ m1_relset_1(X3,X2,u1_struct_0(sK39))
| ~ v1_funct_2(X3,X2,u1_struct_0(sK39))
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK39,X3,X1),u1_struct_0(sK39))
| v3_struct_0(sK39)
| v1_xboole_0(X2) )
| ~ spl73_161 ),
inference(resolution,[],[f2286,f806]) ).
fof(f806,plain,
! [X2,X3,X0,X1] :
( ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,u1_struct_0(X1))
& v1_funct_2(X2,X0,u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k7_yellow_2) ).
fof(f2348,plain,
( spl73_2
| spl73_171
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f2344,f2285,f2346,f888]) ).
fof(f2344,plain,
( ! [X0] :
( m1_subset_1(k1_struct_0(sK39,X0),k1_zfmisc_1(sF72))
| ~ m1_subset_1(X0,sF72)
| v3_struct_0(sK39) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2343,f854]) ).
fof(f2343,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF72)
| m1_subset_1(k1_struct_0(sK39,X0),k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39) )
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2326,f854]) ).
fof(f2326,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| m1_subset_1(k1_struct_0(sK39,X0),k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39) )
| ~ spl73_161 ),
inference(resolution,[],[f2286,f704]) ).
fof(f704,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k1_struct_0) ).
fof(f2342,plain,
( spl73_2
| spl73_170
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f2337,f2285,f2339,f888]) ).
fof(f2339,plain,
( spl73_170
<=> m1_subset_1(sK45(sK39),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_170])]) ).
fof(f2337,plain,
( m1_subset_1(sK45(sK39),k1_zfmisc_1(sF72))
| v3_struct_0(sK39)
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2325,f854]) ).
fof(f2325,plain,
( m1_subset_1(sK45(sK39),k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39)
| ~ spl73_161 ),
inference(resolution,[],[f2286,f666]) ).
fof(f666,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK45(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f417]) ).
fof(f417,plain,
! [X0] :
( ( ~ v1_xboole_0(sK45(X0))
& m1_subset_1(sK45(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f217,f416]) ).
fof(f416,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK45(X0))
& m1_subset_1(sK45(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc5_struct_0) ).
fof(f2336,plain,
( spl73_2
| ~ spl73_169
| ~ spl73_161 ),
inference(avatar_split_clause,[],[f2331,f2285,f2333,f888]) ).
fof(f2331,plain,
( ~ v1_xboole_0(sF72)
| v3_struct_0(sK39)
| ~ spl73_161 ),
inference(forward_demodulation,[],[f2324,f854]) ).
fof(f2324,plain,
( ~ v1_xboole_0(u1_struct_0(sK39))
| v3_struct_0(sK39)
| ~ spl73_161 ),
inference(resolution,[],[f2286,f665]) ).
fof(f665,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc1_struct_0) ).
fof(f2321,plain,
( ~ spl73_61
| spl73_161 ),
inference(avatar_split_clause,[],[f2320,f2285,f1260]) ).
fof(f2320,plain,
( ~ l1_orders_2(sK39)
| spl73_161 ),
inference(resolution,[],[f2287,f552]) ).
fof(f552,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_l1_orders_2) ).
fof(f2287,plain,
( ~ l1_struct_0(sK39)
| spl73_161 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2319,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_61
| spl73_167
| ~ spl73_168
| ~ spl73_165
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2310,f912,f2302,f2316,f2312,f1260,f906,f888]) ).
fof(f2312,plain,
( spl73_167
<=> v1_xboole_0(k1_struct_0(sK39,sK48(sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_167])]) ).
fof(f2316,plain,
( spl73_168
<=> v1_xboole_0(k7_waybel_0(sK39,sK48(sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_168])]) ).
fof(f2310,plain,
( ~ m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72))
| ~ v1_xboole_0(k7_waybel_0(sK39,sK48(sF72)))
| v1_xboole_0(k1_struct_0(sK39,sK48(sF72)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2282,f854]) ).
fof(f2282,plain,
( ~ v1_xboole_0(k7_waybel_0(sK39,sK48(sF72)))
| ~ m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(u1_struct_0(sK39)))
| v1_xboole_0(k1_struct_0(sK39,sK48(sF72)))
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(superposition,[],[f730,f1628]) ).
fof(f1628,plain,
( k7_waybel_0(sK39,sK48(sF72)) = k5_waybel_0(sK39,k1_struct_0(sK39,sK48(sF72)))
| ~ spl73_7 ),
inference(resolution,[],[f913,f691]) ).
fof(f2309,plain,
( ~ spl73_164
| ~ spl73_165
| spl73_166
| ~ spl73_7
| ~ spl73_21 ),
inference(avatar_split_clause,[],[f2281,f990,f912,f2306,f2302,f2298]) ).
fof(f2306,plain,
( spl73_166
<=> v2_waybel_0(k7_waybel_0(sK39,sK48(sF72)),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_166])]) ).
fof(f2281,plain,
( v2_waybel_0(k7_waybel_0(sK39,sK48(sF72)),sK39)
| ~ m1_subset_1(k1_struct_0(sK39,sK48(sF72)),k1_zfmisc_1(sF72))
| ~ v2_waybel_0(k1_struct_0(sK39,sK48(sF72)),sK39)
| ~ spl73_7
| ~ spl73_21 ),
inference(superposition,[],[f991,f1628]) ).
fof(f2296,plain,
( spl73_2
| ~ spl73_161
| spl73_162
| ~ spl73_163
| ~ spl73_7 ),
inference(avatar_split_clause,[],[f2283,f912,f2293,f2289,f2285,f888]) ).
fof(f2289,plain,
( spl73_162
<=> k7_waybel_0(sK39,sK48(sF72)) = k5_waybel_0(sK39,k1_tarski(sK48(sF72))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_162])]) ).
fof(f2283,plain,
( ~ m1_subset_1(sK48(sF72),sF72)
| k7_waybel_0(sK39,sK48(sF72)) = k5_waybel_0(sK39,k1_tarski(sK48(sF72)))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(forward_demodulation,[],[f2280,f854]) ).
fof(f2280,plain,
( k7_waybel_0(sK39,sK48(sF72)) = k5_waybel_0(sK39,k1_tarski(sK48(sF72)))
| ~ m1_subset_1(sK48(sF72),u1_struct_0(sK39))
| ~ l1_struct_0(sK39)
| v3_struct_0(sK39)
| ~ spl73_7 ),
inference(superposition,[],[f1628,f703]) ).
fof(f2277,plain,
( ~ spl73_66
| spl73_160
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f2266,f1208,f2274,f1301]) ).
fof(f2266,plain,
( v1_funct_2(sK51(sK40,sK40),sF66,sF66)
| ~ l1_orders_2(sK40)
| ~ spl73_54 ),
inference(superposition,[],[f1438,f846]) ).
fof(f1438,plain,
( ! [X1] :
( v1_funct_2(sK51(sK40,X1),u1_struct_0(X1),sF66)
| ~ l1_orders_2(X1) )
| ~ spl73_54 ),
inference(forward_demodulation,[],[f1434,f846]) ).
fof(f1434,plain,
( ! [X1] :
( ~ l1_orders_2(X1)
| v1_funct_2(sK51(sK40,X1),u1_struct_0(X1),u1_struct_0(sK40)) )
| ~ spl73_54 ),
inference(resolution,[],[f1209,f765]) ).
fof(f765,plain,
! [X0,X1] :
( ~ sP34(X0,X1)
| v1_funct_2(sK51(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f461]) ).
fof(f2272,plain,
( ~ spl73_61
| spl73_159
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f2265,f1208,f2269,f1260]) ).
fof(f2265,plain,
( v1_funct_2(sK51(sK40,sK39),sF72,sF66)
| ~ l1_orders_2(sK39)
| ~ spl73_54 ),
inference(superposition,[],[f1438,f854]) ).
fof(f2263,plain,
( ~ spl73_66
| spl73_158
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f2253,f1208,f2260,f1301]) ).
fof(f2253,plain,
( m2_relset_1(sK51(sK40,sK40),sF66,sF66)
| ~ l1_orders_2(sK40)
| ~ spl73_54 ),
inference(superposition,[],[f1437,f846]) ).
fof(f2258,plain,
( ~ spl73_61
| spl73_157
| ~ spl73_54 ),
inference(avatar_split_clause,[],[f2252,f1208,f2255,f1260]) ).
fof(f2252,plain,
( m2_relset_1(sK51(sK40,sK39),sF72,sF66)
| ~ l1_orders_2(sK39)
| ~ spl73_54 ),
inference(superposition,[],[f1437,f854]) ).
fof(f2249,plain,
( ~ spl73_66
| spl73_156
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f2238,f1008,f2246,f1301]) ).
fof(f2238,plain,
( v1_funct_2(sK51(sK39,sK40),sF66,sF72)
| ~ l1_orders_2(sK40)
| ~ spl73_24 ),
inference(superposition,[],[f1407,f846]) ).
fof(f1407,plain,
( ! [X1] :
( v1_funct_2(sK51(sK39,X1),u1_struct_0(X1),sF72)
| ~ l1_orders_2(X1) )
| ~ spl73_24 ),
inference(forward_demodulation,[],[f1403,f854]) ).
fof(f1403,plain,
( ! [X1] :
( ~ l1_orders_2(X1)
| v1_funct_2(sK51(sK39,X1),u1_struct_0(X1),u1_struct_0(sK39)) )
| ~ spl73_24 ),
inference(resolution,[],[f1009,f765]) ).
fof(f2244,plain,
( ~ spl73_61
| spl73_155
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f2237,f1008,f2241,f1260]) ).
fof(f2237,plain,
( v1_funct_2(sK51(sK39,sK39),sF72,sF72)
| ~ l1_orders_2(sK39)
| ~ spl73_24 ),
inference(superposition,[],[f1407,f854]) ).
fof(f2234,plain,
( ~ spl73_66
| spl73_154
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f2224,f1008,f2231,f1301]) ).
fof(f2224,plain,
( m2_relset_1(sK51(sK39,sK40),sF66,sF72)
| ~ l1_orders_2(sK40)
| ~ spl73_24 ),
inference(superposition,[],[f1406,f846]) ).
fof(f2229,plain,
( ~ spl73_61
| spl73_153
| ~ spl73_24 ),
inference(avatar_split_clause,[],[f2223,f1008,f2226,f1260]) ).
fof(f2223,plain,
( m2_relset_1(sK51(sK39,sK39),sF72,sF72)
| ~ l1_orders_2(sK39)
| ~ spl73_24 ),
inference(superposition,[],[f1406,f854]) ).
fof(f2115,plain,
( ~ spl73_119
| spl73_152
| ~ spl73_61
| ~ spl73_14
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| ~ spl73_121
| ~ spl73_122
| ~ spl73_55
| ~ spl73_120 ),
inference(avatar_split_clause,[],[f2110,f1740,f1217,f1748,f1744,f906,f921,f934,f950,f1260,f2112,f1736]) ).
fof(f2112,plain,
( spl73_152
<=> sP35(sK40,sK39,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_152])]) ).
fof(f1217,plain,
( spl73_55
<=> ! [X24,X23] :
( ~ m2_relset_1(X23,u1_struct_0(X24),sF66)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ l1_orders_2(X24)
| sP35(sK40,X24,X23)
| ~ v1_funct_1(X23)
| ~ v19_waybel_0(X23,X24,sK40)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_55])]) ).
fof(f1740,plain,
( spl73_120
<=> sP25(sK40,sK39,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_120])]) ).
fof(f2110,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| ~ m2_relset_1(sK41,sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP35(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ spl73_55
| ~ spl73_120 ),
inference(forward_demodulation,[],[f2109,f854]) ).
fof(f2109,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP35(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_55
| ~ spl73_120 ),
inference(forward_demodulation,[],[f2108,f854]) ).
fof(f2108,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP35(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_55
| ~ spl73_120 ),
inference(resolution,[],[f2053,f1218]) ).
fof(f1218,plain,
( ! [X24,X23] :
( ~ v19_waybel_0(X23,X24,sK40)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ l1_orders_2(X24)
| sP35(sK40,X24,X23)
| ~ v1_funct_1(X23)
| ~ m2_relset_1(X23,u1_struct_0(X24),sF66)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF66) )
| ~ spl73_55 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f2053,plain,
( v19_waybel_0(sK41,sK39,sK40)
| ~ spl73_120 ),
inference(resolution,[],[f1742,f707]) ).
fof(f707,plain,
! [X2,X0,X1] :
( ~ sP25(X0,X1,X2)
| v19_waybel_0(X2,X1,X0) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0,X1,X2] :
( ( v19_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
| ~ sP25(X0,X1,X2) ),
inference(rectify,[],[f436]) ).
fof(f436,plain,
! [X1,X0,X2] :
( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP25(X1,X0,X2) ),
inference(nnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X1,X0,X2] :
( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP25(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f1742,plain,
( sP25(sK40,sK39,sK41)
| ~ spl73_120 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f2098,plain,
( ~ spl73_150
| spl73_151
| ~ spl73_10 ),
inference(avatar_split_clause,[],[f2080,f925,f2095,f2091]) ).
fof(f2091,plain,
( spl73_150
<=> v4_membered(k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_150])]) ).
fof(f2095,plain,
( spl73_151
<=> sP15(sK46(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_151])]) ).
fof(f925,plain,
( spl73_10
<=> sP22(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_10])]) ).
fof(f2080,plain,
( sP15(sK46(sK39))
| ~ v4_membered(k1_zfmisc_1(sF72))
| ~ spl73_10 ),
inference(resolution,[],[f1343,f633]) ).
fof(f1343,plain,
( m1_subset_1(sK46(sK39),k1_zfmisc_1(sF72))
| ~ spl73_10 ),
inference(forward_demodulation,[],[f1341,f854]) ).
fof(f1341,plain,
( m1_subset_1(sK46(sK39),k1_zfmisc_1(u1_struct_0(sK39)))
| ~ spl73_10 ),
inference(resolution,[],[f927,f676]) ).
fof(f676,plain,
! [X0] :
( ~ sP22(X0)
| m1_subset_1(sK46(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
! [X0] :
( ( v2_waybel_0(sK46(X0),X0)
& ~ v1_xboole_0(sK46(X0))
& m1_subset_1(sK46(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f423,f424]) ).
fof(f424,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v2_waybel_0(sK46(X0),X0)
& ~ v1_xboole_0(sK46(X0))
& m1_subset_1(sK46(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f423,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP22(X0) ),
inference(nnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f927,plain,
( sP22(sK39)
| ~ spl73_10 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f2089,plain,
( ~ spl73_148
| spl73_149
| ~ spl73_10 ),
inference(avatar_split_clause,[],[f2079,f925,f2086,f2082]) ).
fof(f2082,plain,
( spl73_148
<=> v3_membered(k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_148])]) ).
fof(f2086,plain,
( spl73_149
<=> sP18(sK46(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_149])]) ).
fof(f2079,plain,
( sP18(sK46(sK39))
| ~ v3_membered(k1_zfmisc_1(sF72))
| ~ spl73_10 ),
inference(resolution,[],[f1343,f652]) ).
fof(f2071,plain,
( spl73_147
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f2070,f2013,f2041]) ).
fof(f2070,plain,
( v1_funct_2(sF67,sF66,sF72)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2069,f847]) ).
fof(f2069,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,sF72)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2068,f846]) ).
fof(f2068,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK41),u1_struct_0(sK40),sF72)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2059,f854]) ).
fof(f2059,plain,
( v1_funct_2(k1_waybel34(sK39,sK40,sK41),u1_struct_0(sK40),u1_struct_0(sK39))
| ~ spl73_143 ),
inference(resolution,[],[f2015,f796]) ).
fof(f796,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f475]) ).
fof(f2066,plain,
( spl73_145
| ~ spl73_143 ),
inference(avatar_split_clause,[],[f2065,f2013,f2033]) ).
fof(f2065,plain,
( v1_funct_1(sF67)
| ~ spl73_143 ),
inference(forward_demodulation,[],[f2057,f847]) ).
fof(f2057,plain,
( v1_funct_1(k1_waybel34(sK39,sK40,sK41))
| ~ spl73_143 ),
inference(resolution,[],[f2015,f794]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f475]) ).
fof(f2044,plain,
( ~ spl73_3
| ~ spl73_119
| ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_144
| ~ spl73_122
| ~ spl73_145
| ~ spl73_146
| ~ spl73_147
| ~ spl73_121
| ~ spl73_60 ),
inference(avatar_split_clause,[],[f2027,f1254,f1744,f2041,f2037,f2033,f1748,f2029,f906,f921,f934,f946,f950,f1260,f1736,f892]) ).
fof(f1254,plain,
( spl73_60
<=> ! [X34,X35] :
( ~ v1_funct_2(X35,u1_struct_0(X34),sF66)
| ~ v2_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v4_orders_2(X34)
| ~ v1_lattice3(X34)
| ~ v2_lattice3(X34)
| ~ l1_orders_2(X34)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v1_funct_1(X35)
| ~ v3_lattice3(X34)
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ m2_relset_1(X35,u1_struct_0(X34),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_60])]) ).
fof(f2027,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2026,f854]) ).
fof(f2026,plain,
( ~ v1_funct_2(sF67,sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2025,f847]) ).
fof(f2025,plain,
( ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,sF72)
| ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2024,f854]) ).
fof(f2024,plain,
( ~ m2_relset_1(sF67,sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2023,f847]) ).
fof(f2023,plain,
( ~ m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,sF72)
| ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2022,f854]) ).
fof(f2022,plain,
( ~ v1_funct_1(sF67)
| ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2021,f847]) ).
fof(f2021,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK41))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2020,f854]) ).
fof(f2020,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,sF67),sK39,sK40)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK41))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(forward_demodulation,[],[f2019,f847]) ).
fof(f2019,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v3_waybel_1(k1_waybel_1(sK39,sK40,sK41,k1_waybel34(sK39,sK40,sK41)),sK39,sK40)
| ~ v1_funct_1(sK41)
| ~ v3_lattice3(sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_1(k1_waybel34(sK39,sK40,sK41))
| ~ m2_relset_1(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ v1_funct_2(k1_waybel34(sK39,sK40,sK41),sF66,u1_struct_0(sK39))
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_60 ),
inference(resolution,[],[f1255,f513]) ).
fof(f513,plain,
v17_waybel_0(sK41,sK39,sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1255,plain,
( ! [X34,X35] :
( ~ v17_waybel_0(X35,X34,sK40)
| ~ v2_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v4_orders_2(X34)
| ~ v1_lattice3(X34)
| ~ v2_lattice3(X34)
| ~ l1_orders_2(X34)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v1_funct_1(X35)
| ~ v3_lattice3(X34)
| ~ v1_funct_2(X35,u1_struct_0(X34),sF66)
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ m2_relset_1(X35,u1_struct_0(X34),sF66) )
| ~ spl73_60 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f2018,plain,
spl73_122,
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| spl73_122 ),
inference(resolution,[],[f1750,f856]) ).
fof(f1750,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| spl73_122 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f2016,plain,
( ~ spl73_119
| spl73_143
| ~ spl73_61
| ~ spl73_3
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| ~ spl73_121
| ~ spl73_122
| ~ spl73_59 ),
inference(avatar_split_clause,[],[f2011,f1239,f1748,f1744,f906,f921,f934,f946,f950,f892,f1260,f2013,f1736]) ).
fof(f1239,plain,
( spl73_59
<=> ! [X29,X30] :
( ~ m2_relset_1(X29,u1_struct_0(X30),sF66)
| ~ v2_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v4_orders_2(X30)
| ~ v1_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v3_lattice3(X30)
| ~ l1_orders_2(X30)
| sP38(X30,sK40,X29)
| ~ v1_funct_1(X29)
| ~ v17_waybel_0(X29,X30,sK40)
| ~ v1_funct_2(X29,u1_struct_0(X30),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_59])]) ).
fof(f2011,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| ~ m2_relset_1(sK41,sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v3_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP38(sK39,sK40,sK41)
| ~ v1_funct_1(sK41)
| ~ spl73_59 ),
inference(forward_demodulation,[],[f1844,f854]) ).
fof(f1844,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v3_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP38(sK39,sK40,sK41)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_59 ),
inference(forward_demodulation,[],[f1843,f854]) ).
fof(f1843,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v3_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP38(sK39,sK40,sK41)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_59 ),
inference(resolution,[],[f1240,f513]) ).
fof(f1240,plain,
( ! [X29,X30] :
( ~ v17_waybel_0(X29,X30,sK40)
| ~ v2_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v4_orders_2(X30)
| ~ v1_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v3_lattice3(X30)
| ~ l1_orders_2(X30)
| sP38(X30,sK40,X29)
| ~ v1_funct_1(X29)
| ~ m2_relset_1(X29,u1_struct_0(X30),sF66)
| ~ v1_funct_2(X29,u1_struct_0(X30),sF66) )
| ~ spl73_59 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f2010,plain,
spl73_121,
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2009,plain,
( $false
| spl73_121 ),
inference(resolution,[],[f1746,f855]) ).
fof(f855,plain,
m2_relset_1(sK41,sF72,sF66),
inference(definition_folding,[],[f514,f846,f854]) ).
fof(f514,plain,
m2_relset_1(sK41,u1_struct_0(sK39),u1_struct_0(sK40)),
inference(cnf_transformation,[],[f385]) ).
fof(f1746,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| spl73_121 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f2008,plain,
( ~ spl73_141
| spl73_142 ),
inference(avatar_split_clause,[],[f1989,f2005,f2001]) ).
fof(f2001,plain,
( spl73_141
<=> sP1(sK63) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_141])]) ).
fof(f2005,plain,
( spl73_142
<=> sP14(sK44(sK63)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_142])]) ).
fof(f1989,plain,
( sP14(sK44(sK63))
| ~ sP1(sK63) ),
inference(resolution,[],[f1929,f531]) ).
fof(f531,plain,
! [X0] :
( m1_subset_1(sK44(X0),k1_zfmisc_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f391,plain,
! [X0] :
( ( v1_finset_1(sK44(X0))
& ~ v1_xboole_0(sK44(X0))
& m1_subset_1(sK44(X0),k1_zfmisc_1(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f389,f390]) ).
fof(f390,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK44(X0))
& ~ v1_xboole_0(sK44(X0))
& m1_subset_1(sK44(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f389,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1929,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK63))
| sP14(X0) ),
inference(backward_demodulation,[],[f1908,f1917]) ).
fof(f1908,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0))
| sP14(X0) ),
inference(resolution,[],[f522,f626]) ).
fof(f626,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP14(X1) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ! [X1] :
( sP14(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f195,f333]) ).
fof(f333,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc20_membered) ).
fof(f522,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f95]) ).
fof(f1999,plain,
( ~ spl73_139
| spl73_140 ),
inference(avatar_split_clause,[],[f1988,f1996,f1992]) ).
fof(f1992,plain,
( spl73_139
<=> sP0(sK63) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_139])]) ).
fof(f1996,plain,
( spl73_140
<=> sP14(sK43(sK63)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_140])]) ).
fof(f1988,plain,
( sP14(sK43(sK63))
| ~ sP0(sK63) ),
inference(resolution,[],[f1929,f527]) ).
fof(f527,plain,
! [X0] :
( m1_subset_1(sK43(X0),k1_zfmisc_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f388]) ).
fof(f388,plain,
! [X0] :
( ( v1_finset_1(sK43(X0))
& ~ v1_xboole_0(sK43(X0))
& m1_subset_1(sK43(X0),k1_zfmisc_1(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f386,f387]) ).
fof(f387,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK43(X0))
& ~ v1_xboole_0(sK43(X0))
& m1_subset_1(sK43(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f386,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1983,plain,
( ~ spl73_137
| spl73_138
| ~ spl73_48 ),
inference(avatar_split_clause,[],[f1965,f1175,f1980,f1976]) ).
fof(f1976,plain,
( spl73_137
<=> v4_membered(k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_137])]) ).
fof(f1980,plain,
( spl73_138
<=> sP15(sF69) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_138])]) ).
fof(f1175,plain,
( spl73_48
<=> ! [X13] :
( m1_subset_1(k7_waybel_0(sK40,X13),k1_zfmisc_1(sF66))
| ~ m1_subset_1(X13,sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_48])]) ).
fof(f1965,plain,
( sP15(sF69)
| ~ v4_membered(k1_zfmisc_1(sF66))
| ~ spl73_48 ),
inference(resolution,[],[f1575,f633]) ).
fof(f1575,plain,
( m1_subset_1(sF69,k1_zfmisc_1(sF66))
| ~ spl73_48 ),
inference(forward_demodulation,[],[f1572,f849]) ).
fof(f1572,plain,
( m1_subset_1(k7_waybel_0(sK40,sK42),k1_zfmisc_1(sF66))
| ~ spl73_48 ),
inference(resolution,[],[f1176,f853]) ).
fof(f1176,plain,
( ! [X13] :
( ~ m1_subset_1(X13,sF66)
| m1_subset_1(k7_waybel_0(sK40,X13),k1_zfmisc_1(sF66)) )
| ~ spl73_48 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1974,plain,
( ~ spl73_135
| spl73_136
| ~ spl73_48 ),
inference(avatar_split_clause,[],[f1964,f1175,f1971,f1967]) ).
fof(f1967,plain,
( spl73_135
<=> v3_membered(k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_135])]) ).
fof(f1971,plain,
( spl73_136
<=> sP18(sF69) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_136])]) ).
fof(f1964,plain,
( sP18(sF69)
| ~ v3_membered(k1_zfmisc_1(sF66))
| ~ spl73_48 ),
inference(resolution,[],[f1575,f652]) ).
fof(f1956,plain,
( spl73_133
| ~ spl73_74 ),
inference(avatar_split_clause,[],[f1955,f1384,f1894]) ).
fof(f1894,plain,
( spl73_133
<=> sP15(sF71) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_133])]) ).
fof(f1384,plain,
( spl73_74
<=> ! [X1] : sP15(k2_yellow_0(sK39,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_74])]) ).
fof(f1955,plain,
( sP15(sF71)
| ~ spl73_74 ),
inference(superposition,[],[f1385,f851]) ).
fof(f1385,plain,
( ! [X1] : sP15(k2_yellow_0(sK39,X1))
| ~ spl73_74 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1945,plain,
( spl73_132
| ~ spl73_72 ),
inference(avatar_split_clause,[],[f1944,f1376,f1889]) ).
fof(f1889,plain,
( spl73_132
<=> sP18(sF71) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_132])]) ).
fof(f1376,plain,
( spl73_72
<=> ! [X0] : sP18(k2_yellow_0(sK39,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_72])]) ).
fof(f1944,plain,
( sP18(sF71)
| ~ spl73_72 ),
inference(superposition,[],[f1377,f851]) ).
fof(f1377,plain,
( ! [X0] : sP18(k2_yellow_0(sK39,X0))
| ~ spl73_72 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1937,plain,
( ~ spl73_101
| spl73_134
| ~ spl73_50 ),
inference(avatar_split_clause,[],[f1557,f1185,f1934,f1547]) ).
fof(f1934,plain,
( spl73_134
<=> v2_waybel_0(sF69,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_134])]) ).
fof(f1185,plain,
( spl73_50
<=> ! [X15] :
( ~ m1_subset_1(X15,sF66)
| v2_waybel_0(k7_waybel_0(sK40,X15),sK40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_50])]) ).
fof(f1557,plain,
( v2_waybel_0(sF69,sK40)
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_50 ),
inference(superposition,[],[f1186,f849]) ).
fof(f1186,plain,
( ! [X15] :
( v2_waybel_0(k7_waybel_0(sK40,X15),sK40)
| ~ m1_subset_1(X15,sF66) )
| ~ spl73_50 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1932,plain,
spl73_101,
inference(avatar_contradiction_clause,[],[f1931]) ).
fof(f1931,plain,
( $false
| spl73_101 ),
inference(resolution,[],[f1549,f853]) ).
fof(f1549,plain,
( ~ m1_subset_1(sK42,sF66)
| spl73_101 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1916,plain,
( spl73_73
| spl73_106 ),
inference(avatar_split_clause,[],[f1913,f1596,f1380]) ).
fof(f1380,plain,
( spl73_73
<=> v4_membered(sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_73])]) ).
fof(f1596,plain,
( spl73_106
<=> sP1(sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_106])]) ).
fof(f1913,plain,
( v4_membered(sF72)
| spl73_106 ),
inference(resolution,[],[f1907,f645]) ).
fof(f645,plain,
! [X0] :
( ~ sP17(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f411,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1907,plain,
( sP17(sF72)
| spl73_106 ),
inference(resolution,[],[f1626,f647]) ).
fof(f647,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( sP17(X0)
| ~ v1_xboole_0(X0) ),
inference(definition_folding,[],[f203,f339]) ).
fof(f203,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc15_membered) ).
fof(f1626,plain,
( v1_xboole_0(sF72)
| spl73_106 ),
inference(resolution,[],[f1598,f534]) ).
fof(f534,plain,
! [X0] :
( sP1(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( sP1(X0)
| v1_xboole_0(X0) ),
inference(definition_folding,[],[f160,f307]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc3_finset_1) ).
fof(f1598,plain,
( ~ sP1(sF72)
| spl73_106 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1915,plain,
( spl73_71
| spl73_106 ),
inference(avatar_split_clause,[],[f1912,f1596,f1372]) ).
fof(f1372,plain,
( spl73_71
<=> v3_membered(sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_71])]) ).
fof(f1912,plain,
( v3_membered(sF72)
| spl73_106 ),
inference(resolution,[],[f1907,f644]) ).
fof(f644,plain,
! [X0] :
( ~ sP17(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1897,plain,
( ~ spl73_73
| spl73_133 ),
inference(avatar_split_clause,[],[f1887,f1894,f1380]) ).
fof(f1887,plain,
( sP15(sF71)
| ~ v4_membered(sF72) ),
inference(resolution,[],[f1370,f633]) ).
fof(f1892,plain,
( ~ spl73_71
| spl73_132 ),
inference(avatar_split_clause,[],[f1886,f1889,f1372]) ).
fof(f1886,plain,
( sP18(sF71)
| ~ v3_membered(sF72) ),
inference(resolution,[],[f1370,f652]) ).
fof(f1876,plain,
( ~ spl73_66
| spl73_131 ),
inference(avatar_split_clause,[],[f1868,f1874,f1301]) ).
fof(f1868,plain,
! [X2,X3] :
( ~ v1_funct_2(X2,sF66,sF66)
| ~ m2_relset_1(X2,sF66,sF66)
| k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)) = k1_waybel_1(sK40,sK40,X2,X3)
| ~ m2_relset_1(X3,sF66,sF66)
| ~ v1_funct_2(X3,sF66,sF66)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(sK40) ),
inference(superposition,[],[f1248,f846]) ).
fof(f1248,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X33,sF66,u1_struct_0(X32))
| ~ m2_relset_1(X33,sF66,u1_struct_0(X32))
| k2_tarski(k1_tarski(X33),k2_tarski(X33,X31)) = k1_waybel_1(sK40,X32,X33,X31)
| ~ m2_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_literal_rewriting,[],[f1247,f803]) ).
fof(f1247,plain,
! [X31,X32,X33] :
( ~ m2_relset_1(X33,sF66,u1_struct_0(X32))
| k2_tarski(k1_tarski(X33),k2_tarski(X33,X31)) = k1_waybel_1(sK40,X32,X33,X31)
| ~ v1_funct_2(X33,sF66,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_literal_rewriting,[],[f1246,f803]) ).
fof(f1246,plain,
! [X31,X32,X33] :
( k2_tarski(k1_tarski(X33),k2_tarski(X33,X31)) = k1_waybel_1(sK40,X32,X33,X31)
| ~ v1_funct_2(X33,sF66,u1_struct_0(X32))
| ~ m1_relset_1(X33,sF66,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_demodulation,[],[f1245,f693]) ).
fof(f1245,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X33,sF66,u1_struct_0(X32))
| ~ m1_relset_1(X33,sF66,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) = k1_waybel_1(sK40,X32,X33,X31) ),
inference(forward_demodulation,[],[f1244,f846]) ).
fof(f1244,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X33,sF66,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ v1_funct_2(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) = k1_waybel_1(sK40,X32,X33,X31) ),
inference(forward_demodulation,[],[f1243,f846]) ).
fof(f1243,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X31,u1_struct_0(X32),sF66)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) = k1_waybel_1(sK40,X32,X33,X31) ),
inference(forward_demodulation,[],[f1242,f846]) ).
fof(f1242,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X31,u1_struct_0(X32),sF66)
| ~ v1_funct_2(X31,u1_struct_0(X32),u1_struct_0(sK40))
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) = k1_waybel_1(sK40,X32,X33,X31) ),
inference(forward_demodulation,[],[f1081,f846]) ).
fof(f1081,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X31,u1_struct_0(X32),u1_struct_0(sK40))
| ~ v1_funct_2(X31,u1_struct_0(X32),u1_struct_0(sK40))
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK40),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) = k1_waybel_1(sK40,X32,X33,X31) ),
inference(resolution,[],[f510,f843]) ).
fof(f843,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| k1_waybel_1(X0,X1,X2,X3) = k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)) ),
inference(definition_unfolding,[],[f810,f694]) ).
fof(f694,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',d5_tarski) ).
fof(f810,plain,
! [X2,X3,X0,X1] :
( k1_waybel_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
( k1_waybel_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
( k1_waybel_1(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& l1_orders_2(X0) )
=> k1_waybel_1(X0,X1,X2,X3) = k4_tarski(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',redefinition_k1_waybel_1) ).
fof(f1872,plain,
( ~ spl73_61
| spl73_130 ),
inference(avatar_split_clause,[],[f1867,f1870,f1260]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF66,sF72)
| ~ m2_relset_1(X0,sF66,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK40,sK39,X0,X1)
| ~ m2_relset_1(X1,sF72,sF66)
| ~ v1_funct_2(X1,sF72,sF66)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(sK39) ),
inference(superposition,[],[f1248,f854]) ).
fof(f1854,plain,
( ~ spl73_66
| spl73_129 ),
inference(avatar_split_clause,[],[f1846,f1852,f1301]) ).
fof(f1846,plain,
! [X2,X3] :
( ~ v1_funct_2(X2,sF72,sF66)
| ~ m2_relset_1(X2,sF72,sF66)
| k1_waybel_1(sK39,sK40,X2,X3) = k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))
| ~ m2_relset_1(X3,sF66,sF72)
| ~ v1_funct_2(X3,sF66,sF72)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(sK40) ),
inference(superposition,[],[f1048,f846]) ).
fof(f1048,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X33,sF72,u1_struct_0(X32))
| ~ m2_relset_1(X33,sF72,u1_struct_0(X32))
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k1_tarski(X33),k2_tarski(X33,X31))
| ~ m2_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_literal_rewriting,[],[f1047,f803]) ).
fof(f1047,plain,
! [X31,X32,X33] :
( ~ m2_relset_1(X33,sF72,u1_struct_0(X32))
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k1_tarski(X33),k2_tarski(X33,X31))
| ~ v1_funct_2(X33,sF72,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_literal_rewriting,[],[f1046,f803]) ).
fof(f1046,plain,
! [X31,X32,X33] :
( k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k1_tarski(X33),k2_tarski(X33,X31))
| ~ v1_funct_2(X33,sF72,u1_struct_0(X32))
| ~ m1_relset_1(X33,sF72,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32) ),
inference(forward_demodulation,[],[f1045,f693]) ).
fof(f1045,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X33,sF72,u1_struct_0(X32))
| ~ m1_relset_1(X33,sF72,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) ),
inference(forward_demodulation,[],[f1044,f854]) ).
fof(f1044,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X33,sF72,u1_struct_0(X32))
| ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ v1_funct_2(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) ),
inference(forward_demodulation,[],[f1043,f854]) ).
fof(f1043,plain,
! [X31,X32,X33] :
( ~ v1_funct_2(X31,u1_struct_0(X32),sF72)
| ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) ),
inference(forward_demodulation,[],[f1042,f854]) ).
fof(f1042,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X31,u1_struct_0(X32),sF72)
| ~ v1_funct_2(X31,u1_struct_0(X32),u1_struct_0(sK39))
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) ),
inference(forward_demodulation,[],[f881,f854]) ).
fof(f881,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X31,u1_struct_0(X32),u1_struct_0(sK39))
| ~ v1_funct_2(X31,u1_struct_0(X32),u1_struct_0(sK39))
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_2(X33,u1_struct_0(sK39),u1_struct_0(X32))
| ~ v1_funct_1(X33)
| ~ l1_orders_2(X32)
| k1_waybel_1(sK39,X32,X33,X31) = k2_tarski(k2_tarski(X33,X31),k1_tarski(X33)) ),
inference(resolution,[],[f503,f843]) ).
fof(f1850,plain,
( ~ spl73_61
| spl73_128 ),
inference(avatar_split_clause,[],[f1845,f1848,f1260]) ).
fof(f1845,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ m2_relset_1(X0,sF72,sF72)
| k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)) = k1_waybel_1(sK39,sK39,X0,X1)
| ~ m2_relset_1(X1,sF72,sF72)
| ~ v1_funct_2(X1,sF72,sF72)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(sK39) ),
inference(superposition,[],[f1048,f854]) ).
fof(f1842,plain,
( spl73_114
| spl73_110 ),
inference(avatar_split_clause,[],[f1630,f1618,f1655]) ).
fof(f1618,plain,
( spl73_110
<=> sP1(sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_110])]) ).
fof(f1630,plain,
( v1_xboole_0(sF66)
| spl73_110 ),
inference(resolution,[],[f1620,f534]) ).
fof(f1620,plain,
( ~ sP1(sF66)
| spl73_110 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1841,plain,
( spl73_108
| spl73_114 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1840,plain,
( $false
| spl73_108
| spl73_114 ),
inference(resolution,[],[f1657,f1629]) ).
fof(f1629,plain,
( v1_xboole_0(sF66)
| spl73_108 ),
inference(resolution,[],[f1611,f530]) ).
fof(f530,plain,
! [X0] :
( sP0(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( sP0(X0)
| v1_xboole_0(X0) ),
inference(definition_folding,[],[f159,f305]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc4_finset_1) ).
fof(f1611,plain,
( ~ sP0(sF66)
| spl73_108 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1609,plain,
( spl73_108
<=> sP0(sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_108])]) ).
fof(f1657,plain,
( ~ v1_xboole_0(sF66)
| spl73_114 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1828,plain,
( spl73_73
| spl73_104 ),
inference(avatar_split_clause,[],[f1824,f1587,f1380]) ).
fof(f1587,plain,
( spl73_104
<=> sP0(sF72) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_104])]) ).
fof(f1824,plain,
( v4_membered(sF72)
| spl73_104 ),
inference(backward_demodulation,[],[f521,f1819]) ).
fof(f1819,plain,
( k1_xboole_0 = sF72
| spl73_104 ),
inference(resolution,[],[f1604,f641]) ).
fof(f1604,plain,
( v1_xboole_0(sF72)
| spl73_104 ),
inference(resolution,[],[f1589,f530]) ).
fof(f1589,plain,
( ~ sP0(sF72)
| spl73_104 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f521,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f95]) ).
fof(f1827,plain,
( spl73_71
| spl73_104 ),
inference(avatar_split_clause,[],[f1823,f1587,f1372]) ).
fof(f1823,plain,
( v3_membered(sF72)
| spl73_104 ),
inference(backward_demodulation,[],[f520,f1819]) ).
fof(f520,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f95]) ).
fof(f1799,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_127
| ~ spl73_58 ),
inference(avatar_split_clause,[],[f1791,f1232,f1797,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f1232,plain,
( spl73_58
<=> ! [X27,X28] :
( ~ m2_relset_1(X27,u1_struct_0(X28),sF66)
| ~ v2_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v4_orders_2(X28)
| ~ v1_lattice3(X28)
| ~ v2_lattice3(X28)
| ~ l1_orders_2(X28)
| sP37(X28,sK40,X27)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,u1_struct_0(X28),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_58])]) ).
fof(f1791,plain,
( ! [X1] :
( ~ v1_funct_2(X1,sF66,sF66)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| sP37(sK40,sK40,X1)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF66) )
| ~ spl73_58 ),
inference(superposition,[],[f1233,f846]) ).
fof(f1233,plain,
( ! [X28,X27] :
( ~ v1_funct_2(X27,u1_struct_0(X28),sF66)
| ~ v2_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v4_orders_2(X28)
| ~ v1_lattice3(X28)
| ~ v2_lattice3(X28)
| ~ l1_orders_2(X28)
| sP37(X28,sK40,X27)
| ~ v1_funct_1(X27)
| ~ m2_relset_1(X27,u1_struct_0(X28),sF66) )
| ~ spl73_58 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1795,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_126
| ~ spl73_58 ),
inference(avatar_split_clause,[],[f1790,f1232,f1793,f906,f921,f934,f946,f950,f1260]) ).
fof(f1790,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF66)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP37(sK39,sK40,X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF66) )
| ~ spl73_58 ),
inference(superposition,[],[f1233,f854]) ).
fof(f1781,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_43
| ~ spl73_41
| ~ spl73_39
| ~ spl73_36
| spl73_125
| ~ spl73_28 ),
inference(avatar_split_clause,[],[f1773,f1032,f1779,f1106,f1121,f1134,f1146,f1150,f1301]) ).
fof(f1032,plain,
( spl73_28
<=> ! [X27,X28] :
( ~ m2_relset_1(X27,u1_struct_0(X28),sF72)
| ~ v2_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v4_orders_2(X28)
| ~ v1_lattice3(X28)
| ~ v2_lattice3(X28)
| ~ l1_orders_2(X28)
| sP37(X28,sK39,X27)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,u1_struct_0(X28),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_28])]) ).
fof(f1773,plain,
( ! [X1] :
( ~ v1_funct_2(X1,sF66,sF72)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| sP37(sK40,sK39,X1)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,sF66,sF72) )
| ~ spl73_28 ),
inference(superposition,[],[f1033,f846]) ).
fof(f1033,plain,
( ! [X28,X27] :
( ~ v1_funct_2(X27,u1_struct_0(X28),sF72)
| ~ v2_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v4_orders_2(X28)
| ~ v1_lattice3(X28)
| ~ v2_lattice3(X28)
| ~ l1_orders_2(X28)
| sP37(X28,sK39,X27)
| ~ v1_funct_1(X27)
| ~ m2_relset_1(X27,u1_struct_0(X28),sF72) )
| ~ spl73_28 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1777,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_13
| ~ spl73_11
| ~ spl73_9
| ~ spl73_6
| spl73_124
| ~ spl73_28 ),
inference(avatar_split_clause,[],[f1772,f1032,f1775,f906,f921,f934,f946,f950,f1260]) ).
fof(f1772,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF72,sF72)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| sP37(sK39,sK39,X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,sF72,sF72) )
| ~ spl73_28 ),
inference(superposition,[],[f1033,f854]) ).
fof(f1766,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| spl73_123
| ~ spl73_86
| ~ spl73_89
| ~ spl73_70 ),
inference(avatar_split_clause,[],[f1473,f1354,f1483,f1464,f1763,f1134,f1121,f1106,f1088,f1301]) ).
fof(f1763,plain,
( spl73_123
<=> sP8(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_123])]) ).
fof(f1464,plain,
( spl73_86
<=> v24_waybel_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_86])]) ).
fof(f1483,plain,
( spl73_89
<=> v25_waybel_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_89])]) ).
fof(f1354,plain,
( spl73_70
<=> v2_yellow_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_70])]) ).
fof(f1473,plain,
( ~ v25_waybel_0(sK40)
| ~ v24_waybel_0(sK40)
| sP8(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_70 ),
inference(resolution,[],[f1356,f584]) ).
fof(f584,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| sP8(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( sP8(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f181,f321]) ).
fof(f321,plain,
! [X0] :
( ( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f181,plain,
! [X0] :
( ( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_yellow_2) ).
fof(f1356,plain,
( v2_yellow_0(sK40)
| ~ spl73_70 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1761,plain,
( ~ spl73_35
| spl73_89 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1760,plain,
( $false
| ~ spl73_35
| spl73_89 ),
inference(resolution,[],[f1485,f1364]) ).
fof(f1364,plain,
( v25_waybel_0(sK40)
| ~ spl73_35 ),
inference(resolution,[],[f1104,f570]) ).
fof(f570,plain,
! [X0] :
( ~ sP7(X0)
| v25_waybel_0(X0) ),
inference(cnf_transformation,[],[f397]) ).
fof(f397,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1104,plain,
( sP7(sK40)
| ~ spl73_35 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl73_35
<=> sP7(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_35])]) ).
fof(f1485,plain,
( ~ v25_waybel_0(sK40)
| spl73_89 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1759,plain,
spl73_119,
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| spl73_119 ),
inference(resolution,[],[f1738,f511]) ).
fof(f511,plain,
v1_funct_1(sK41),
inference(cnf_transformation,[],[f385]) ).
fof(f1738,plain,
( ~ v1_funct_1(sK41)
| spl73_119 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1751,plain,
( ~ spl73_119
| spl73_120
| ~ spl73_61
| spl73_2
| ~ spl73_121
| ~ spl73_122
| ~ spl73_46 ),
inference(avatar_split_clause,[],[f1734,f1162,f1748,f1744,f888,f1260,f1740,f1736]) ).
fof(f1162,plain,
( spl73_46
<=> ! [X9,X10] :
( ~ m2_relset_1(X9,u1_struct_0(X10),sF66)
| v3_struct_0(X10)
| ~ l1_orders_2(X10)
| sP25(sK40,X10,X9)
| ~ v1_funct_1(X9)
| ~ v17_waybel_0(X9,X10,sK40)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_46])]) ).
fof(f1734,plain,
( ~ v1_funct_2(sK41,sF72,sF66)
| ~ m2_relset_1(sK41,sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| sP25(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ spl73_46 ),
inference(forward_demodulation,[],[f1733,f854]) ).
fof(f1733,plain,
( ~ m2_relset_1(sK41,sF72,sF66)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| sP25(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_46 ),
inference(forward_demodulation,[],[f1732,f854]) ).
fof(f1732,plain,
( v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| sP25(sK40,sK39,sK41)
| ~ v1_funct_1(sK41)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF66)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF66)
| ~ spl73_46 ),
inference(resolution,[],[f1163,f513]) ).
fof(f1163,plain,
( ! [X10,X9] :
( ~ v17_waybel_0(X9,X10,sK40)
| v3_struct_0(X10)
| ~ l1_orders_2(X10)
| sP25(sK40,X10,X9)
| ~ v1_funct_1(X9)
| ~ m2_relset_1(X9,u1_struct_0(X10),sF66)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF66) )
| ~ spl73_46 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1721,plain,
( ~ spl73_35
| spl73_86 ),
inference(avatar_contradiction_clause,[],[f1720]) ).
fof(f1720,plain,
( $false
| ~ spl73_35
| spl73_86 ),
inference(resolution,[],[f1466,f1363]) ).
fof(f1363,plain,
( v24_waybel_0(sK40)
| ~ spl73_35 ),
inference(resolution,[],[f1104,f569]) ).
fof(f569,plain,
! [X0] :
( ~ sP7(X0)
| v24_waybel_0(X0) ),
inference(cnf_transformation,[],[f397]) ).
fof(f1466,plain,
( ~ v24_waybel_0(sK40)
| spl73_86 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1685,plain,
( spl73_32
| spl73_118
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f1681,f1636,f1683,f1088]) ).
fof(f1681,plain,
( ! [X6,X4,X5] :
( ~ m2_relset_1(X6,X5,sF66)
| ~ v1_funct_2(X6,X5,sF66)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_1(X6)
| k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| v3_struct_0(sK40)
| v1_xboole_0(X5) )
| ~ spl73_112 ),
inference(forward_literal_rewriting,[],[f1680,f803]) ).
fof(f1680,plain,
( ! [X6,X4,X5] :
( ~ v1_funct_2(X6,X5,sF66)
| ~ m1_relset_1(X6,X5,sF66)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_1(X6)
| k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| v3_struct_0(sK40)
| v1_xboole_0(X5) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1679,f846]) ).
fof(f1679,plain,
( ! [X6,X4,X5] :
( ~ m1_relset_1(X6,X5,sF66)
| ~ m1_subset_1(X4,X5)
| ~ v1_funct_2(X6,X5,u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| v3_struct_0(sK40)
| v1_xboole_0(X5) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1650,f846]) ).
fof(f1650,plain,
( ! [X6,X4,X5] :
( ~ m1_subset_1(X4,X5)
| ~ m1_relset_1(X6,X5,u1_struct_0(sK40))
| ~ v1_funct_2(X6,X5,u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k7_yellow_2(X5,sK40,X6,X4) = k1_funct_1(X6,X4)
| v3_struct_0(sK40)
| v1_xboole_0(X5) )
| ~ spl73_112 ),
inference(resolution,[],[f1637,f807]) ).
fof(f1678,plain,
( spl73_32
| spl73_117
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f1674,f1636,f1676,f1088]) ).
fof(f1674,plain,
( ! [X2,X3,X1] :
( ~ m2_relset_1(X3,X2,sF66)
| m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),sF66)
| ~ v1_funct_2(X3,X2,sF66)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| v3_struct_0(sK40)
| v1_xboole_0(X2) )
| ~ spl73_112 ),
inference(forward_literal_rewriting,[],[f1673,f803]) ).
fof(f1673,plain,
( ! [X2,X3,X1] :
( m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),sF66)
| ~ v1_funct_2(X3,X2,sF66)
| ~ m1_relset_1(X3,X2,sF66)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| v3_struct_0(sK40)
| v1_xboole_0(X2) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1672,f846]) ).
fof(f1672,plain,
( ! [X2,X3,X1] :
( ~ v1_funct_2(X3,X2,sF66)
| ~ m1_relset_1(X3,X2,sF66)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),u1_struct_0(sK40))
| v3_struct_0(sK40)
| v1_xboole_0(X2) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1671,f846]) ).
fof(f1671,plain,
( ! [X2,X3,X1] :
( ~ m1_relset_1(X3,X2,sF66)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X3,X2,u1_struct_0(sK40))
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),u1_struct_0(sK40))
| v3_struct_0(sK40)
| v1_xboole_0(X2) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1649,f846]) ).
fof(f1649,plain,
( ! [X2,X3,X1] :
( ~ m1_subset_1(X1,X2)
| ~ m1_relset_1(X3,X2,u1_struct_0(sK40))
| ~ v1_funct_2(X3,X2,u1_struct_0(sK40))
| ~ v1_funct_1(X3)
| m1_subset_1(k7_yellow_2(X2,sK40,X3,X1),u1_struct_0(sK40))
| v3_struct_0(sK40)
| v1_xboole_0(X2) )
| ~ spl73_112 ),
inference(resolution,[],[f1637,f806]) ).
fof(f1670,plain,
( spl73_32
| spl73_116
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f1666,f1636,f1668,f1088]) ).
fof(f1666,plain,
( ! [X0] :
( m1_subset_1(k1_struct_0(sK40,X0),k1_zfmisc_1(sF66))
| ~ m1_subset_1(X0,sF66)
| v3_struct_0(sK40) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1665,f846]) ).
fof(f1665,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF66)
| m1_subset_1(k1_struct_0(sK40,X0),k1_zfmisc_1(u1_struct_0(sK40)))
| v3_struct_0(sK40) )
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1648,f846]) ).
fof(f1648,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK40))
| m1_subset_1(k1_struct_0(sK40,X0),k1_zfmisc_1(u1_struct_0(sK40)))
| v3_struct_0(sK40) )
| ~ spl73_112 ),
inference(resolution,[],[f1637,f704]) ).
fof(f1664,plain,
( spl73_32
| spl73_115
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f1659,f1636,f1661,f1088]) ).
fof(f1661,plain,
( spl73_115
<=> m1_subset_1(sK45(sK40),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_115])]) ).
fof(f1659,plain,
( m1_subset_1(sK45(sK40),k1_zfmisc_1(sF66))
| v3_struct_0(sK40)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1647,f846]) ).
fof(f1647,plain,
( m1_subset_1(sK45(sK40),k1_zfmisc_1(u1_struct_0(sK40)))
| v3_struct_0(sK40)
| ~ spl73_112 ),
inference(resolution,[],[f1637,f666]) ).
fof(f1658,plain,
( spl73_32
| ~ spl73_114
| ~ spl73_112 ),
inference(avatar_split_clause,[],[f1653,f1636,f1655,f1088]) ).
fof(f1653,plain,
( ~ v1_xboole_0(sF66)
| v3_struct_0(sK40)
| ~ spl73_112 ),
inference(forward_demodulation,[],[f1646,f846]) ).
fof(f1646,plain,
( ~ v1_xboole_0(u1_struct_0(sK40))
| v3_struct_0(sK40)
| ~ spl73_112 ),
inference(resolution,[],[f1637,f665]) ).
fof(f1644,plain,
( ~ spl73_66
| spl73_112 ),
inference(avatar_split_clause,[],[f1643,f1636,f1301]) ).
fof(f1643,plain,
( ~ l1_orders_2(sK40)
| spl73_112 ),
inference(resolution,[],[f1638,f552]) ).
fof(f1638,plain,
( ~ l1_struct_0(sK40)
| spl73_112 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1642,plain,
( spl73_32
| ~ spl73_112
| spl73_113
| ~ spl73_37 ),
inference(avatar_split_clause,[],[f1634,f1112,f1640,f1636,f1088]) ).
fof(f1640,plain,
( spl73_113
<=> ! [X0] :
( ~ m1_subset_1(X0,sF66)
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_tarski(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_113])]) ).
fof(f1112,plain,
( spl73_37
<=> ! [X0] :
( ~ m1_subset_1(X0,sF66)
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_struct_0(sK40,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_37])]) ).
fof(f1634,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF66)
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_tarski(X0))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_37 ),
inference(duplicate_literal_removal,[],[f1633]) ).
fof(f1633,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF66)
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_tarski(X0))
| ~ m1_subset_1(X0,sF66)
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_37 ),
inference(forward_demodulation,[],[f1631,f846]) ).
fof(f1631,plain,
( ! [X0] :
( k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_tarski(X0))
| ~ m1_subset_1(X0,sF66)
| ~ m1_subset_1(X0,u1_struct_0(sK40))
| ~ l1_struct_0(sK40)
| v3_struct_0(sK40) )
| ~ spl73_37 ),
inference(superposition,[],[f1113,f703]) ).
fof(f1113,plain,
( ! [X0] :
( k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_struct_0(sK40,X0))
| ~ m1_subset_1(X0,sF66) )
| ~ spl73_37 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1625,plain,
( ~ spl73_110
| spl73_111 ),
inference(avatar_split_clause,[],[f1606,f1622,f1618]) ).
fof(f1622,plain,
( spl73_111
<=> m1_subset_1(k5_waybel_0(sK40,sK44(sF66)),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_111])]) ).
fof(f1606,plain,
( m1_subset_1(k5_waybel_0(sK40,sK44(sF66)),k1_zfmisc_1(sF66))
| ~ sP1(sF66) ),
inference(resolution,[],[f1212,f531]) ).
fof(f1616,plain,
( ~ spl73_108
| spl73_109 ),
inference(avatar_split_clause,[],[f1605,f1613,f1609]) ).
fof(f1613,plain,
( spl73_109
<=> m1_subset_1(k5_waybel_0(sK40,sK43(sF66)),k1_zfmisc_1(sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_109])]) ).
fof(f1605,plain,
( m1_subset_1(k5_waybel_0(sK40,sK43(sF66)),k1_zfmisc_1(sF66))
| ~ sP0(sF66) ),
inference(resolution,[],[f1212,f527]) ).
fof(f1603,plain,
( ~ spl73_106
| spl73_107 ),
inference(avatar_split_clause,[],[f1584,f1600,f1596]) ).
fof(f1600,plain,
( spl73_107
<=> m1_subset_1(k5_waybel_0(sK39,sK44(sF72)),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_107])]) ).
fof(f1584,plain,
( m1_subset_1(k5_waybel_0(sK39,sK44(sF72)),k1_zfmisc_1(sF72))
| ~ sP1(sF72) ),
inference(resolution,[],[f1012,f531]) ).
fof(f1012,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(sF72))
| m1_subset_1(k5_waybel_0(sK39,X22),k1_zfmisc_1(sF72)) ),
inference(forward_demodulation,[],[f1011,f854]) ).
fof(f1011,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(sF72))
| m1_subset_1(k5_waybel_0(sK39,X22),k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(forward_demodulation,[],[f875,f854]) ).
fof(f875,plain,
! [X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(sK39)))
| m1_subset_1(k5_waybel_0(sK39,X22),k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(resolution,[],[f503,f768]) ).
fof(f1594,plain,
( ~ spl73_104
| spl73_105 ),
inference(avatar_split_clause,[],[f1583,f1591,f1587]) ).
fof(f1591,plain,
( spl73_105
<=> m1_subset_1(k5_waybel_0(sK39,sK43(sF72)),k1_zfmisc_1(sF72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_105])]) ).
fof(f1583,plain,
( m1_subset_1(k5_waybel_0(sK39,sK43(sF72)),k1_zfmisc_1(sF72))
| ~ sP0(sF72) ),
inference(resolution,[],[f1012,f527]) ).
fof(f1582,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| spl73_103
| ~ spl73_77
| ~ spl73_80
| ~ spl73_68 ),
inference(avatar_split_clause,[],[f1411,f1330,f1421,f1398,f1579,f934,f921,f906,f888,f1260]) ).
fof(f1579,plain,
( spl73_103
<=> sP8(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_103])]) ).
fof(f1398,plain,
( spl73_77
<=> v24_waybel_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_77])]) ).
fof(f1421,plain,
( spl73_80
<=> v25_waybel_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_80])]) ).
fof(f1330,plain,
( spl73_68
<=> v2_yellow_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_68])]) ).
fof(f1411,plain,
( ~ v25_waybel_0(sK39)
| ~ v24_waybel_0(sK39)
| sP8(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_68 ),
inference(resolution,[],[f1332,f584]) ).
fof(f1332,plain,
( v2_yellow_0(sK39)
| ~ spl73_68 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1577,plain,
( ~ spl73_5
| spl73_80 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl73_5
| spl73_80 ),
inference(resolution,[],[f1423,f1340]) ).
fof(f1340,plain,
( v25_waybel_0(sK39)
| ~ spl73_5 ),
inference(resolution,[],[f904,f570]) ).
fof(f904,plain,
( sP7(sK39)
| ~ spl73_5 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl73_5
<=> sP7(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_5])]) ).
fof(f1423,plain,
( ~ v25_waybel_0(sK39)
| spl73_80 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1559,plain,
( ~ spl73_5
| spl73_77 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl73_5
| spl73_77 ),
inference(resolution,[],[f1400,f1339]) ).
fof(f1339,plain,
( v24_waybel_0(sK39)
| ~ spl73_5 ),
inference(resolution,[],[f904,f569]) ).
fof(f1400,plain,
( ~ v24_waybel_0(sK39)
| spl73_77 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1554,plain,
( ~ spl73_101
| ~ spl73_102
| ~ spl73_49 ),
inference(avatar_split_clause,[],[f1545,f1180,f1551,f1547]) ).
fof(f1551,plain,
( spl73_102
<=> v1_xboole_0(sF69) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_102])]) ).
fof(f1180,plain,
( spl73_49
<=> ! [X14] :
( ~ m1_subset_1(X14,sF66)
| ~ v1_xboole_0(k7_waybel_0(sK40,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_49])]) ).
fof(f1545,plain,
( ~ v1_xboole_0(sF69)
| ~ m1_subset_1(sK42,sF66)
| ~ spl73_49 ),
inference(superposition,[],[f1181,f849]) ).
fof(f1181,plain,
( ! [X14] :
( ~ v1_xboole_0(k7_waybel_0(sK40,X14))
| ~ m1_subset_1(X14,sF66) )
| ~ spl73_49 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1544,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_36
| spl73_100
| ~ spl73_35 ),
inference(avatar_split_clause,[],[f1534,f1102,f1541,f1106,f1088,f1301]) ).
fof(f1541,plain,
( spl73_100
<=> sP6(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_100])]) ).
fof(f1534,plain,
( sP6(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_35 ),
inference(resolution,[],[f1364,f566]) ).
fof(f566,plain,
! [X0] :
( ~ v25_waybel_0(X0)
| sP6(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( sP6(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f177,f317]) ).
fof(f317,plain,
! [X0] :
( ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f177,plain,
! [X0] :
( ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc11_waybel_0) ).
fof(f1539,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_36
| ~ spl73_41
| spl73_99
| ~ spl73_35 ),
inference(avatar_split_clause,[],[f1533,f1102,f1536,f1134,f1106,f1088,f1301]) ).
fof(f1536,plain,
( spl73_99
<=> sP10(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_99])]) ).
fof(f1533,plain,
( sP10(sK40)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_35 ),
inference(resolution,[],[f1364,f600]) ).
fof(f600,plain,
! [X0] :
( ~ v25_waybel_0(X0)
| sP10(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0] :
( sP10(X0)
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f185,f325]) ).
fof(f325,plain,
! [X0] :
( ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f185,plain,
! [X0] :
( ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc13_waybel_0) ).
fof(f1532,plain,
( ~ spl73_66
| ~ spl73_36
| ~ spl73_43
| spl73_98
| ~ spl73_35 ),
inference(avatar_split_clause,[],[f1527,f1102,f1529,f1146,f1106,f1301]) ).
fof(f1529,plain,
( spl73_98
<=> sP12(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_98])]) ).
fof(f1527,plain,
( sP12(sK40)
| ~ v1_lattice3(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_35 ),
inference(resolution,[],[f1363,f612]) ).
fof(f612,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| sP12(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( sP12(X0)
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f191,f329]) ).
fof(f329,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f191,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v24_waybel_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0) )
=> ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc9_waybel_0) ).
fof(f1526,plain,
( ~ spl73_96
| spl73_97 ),
inference(avatar_split_clause,[],[f1490,f1523,f1519]) ).
fof(f1519,plain,
( spl73_96
<=> v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_96])]) ).
fof(f1523,plain,
( spl73_97
<=> sP15(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_97])]) ).
fof(f1490,plain,
( sP15(sK41)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF66))) ),
inference(resolution,[],[f1289,f633]) ).
fof(f1289,plain,
m1_subset_1(sK41,k1_zfmisc_1(k2_zfmisc_1(sF72,sF66))),
inference(resolution,[],[f855,f787]) ).
fof(f1517,plain,
( ~ spl73_94
| spl73_95 ),
inference(avatar_split_clause,[],[f1489,f1514,f1510]) ).
fof(f1510,plain,
( spl73_94
<=> v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_94])]) ).
fof(f1514,plain,
( spl73_95
<=> sP18(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_95])]) ).
fof(f1489,plain,
( sP18(sK41)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(sF72,sF66))) ),
inference(resolution,[],[f1289,f652]) ).
fof(f1508,plain,
( ~ spl73_92
| spl73_93 ),
inference(avatar_split_clause,[],[f1488,f1505,f1501]) ).
fof(f1501,plain,
( spl73_92
<=> v4_membered(k2_zfmisc_1(sF72,sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_92])]) ).
fof(f1505,plain,
( spl73_93
<=> sP16(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_93])]) ).
fof(f1488,plain,
( sP16(sK41)
| ~ v4_membered(k2_zfmisc_1(sF72,sF66)) ),
inference(resolution,[],[f1289,f638]) ).
fof(f1499,plain,
( ~ spl73_90
| spl73_91 ),
inference(avatar_split_clause,[],[f1487,f1496,f1492]) ).
fof(f1492,plain,
( spl73_90
<=> v3_membered(k2_zfmisc_1(sF72,sF66)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_90])]) ).
fof(f1496,plain,
( spl73_91
<=> sP19(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_91])]) ).
fof(f1487,plain,
( sP19(sK41)
| ~ v3_membered(k2_zfmisc_1(sF72,sF66)) ),
inference(resolution,[],[f1289,f656]) ).
fof(f1486,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_36
| ~ spl73_41
| spl73_88
| ~ spl73_89
| ~ spl73_70 ),
inference(avatar_split_clause,[],[f1472,f1354,f1483,f1479,f1134,f1106,f1088,f1301]) ).
fof(f1479,plain,
( spl73_88
<=> sP11(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_88])]) ).
fof(f1472,plain,
( ~ v25_waybel_0(sK40)
| sP11(sK40)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_70 ),
inference(resolution,[],[f1356,f606]) ).
fof(f606,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v25_waybel_0(X0)
| sP11(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( sP11(X0)
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f187,f327]) ).
fof(f327,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f187,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc14_waybel_0) ).
fof(f1477,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_41
| spl73_87
| ~ spl73_66
| ~ spl73_70 ),
inference(avatar_split_clause,[],[f1470,f1354,f1301,f1475,f1134,f1106,f1088]) ).
fof(f1470,plain,
( ! [X0] :
( ~ l1_orders_2(sK40)
| sP28(sK40,X0)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl73_70 ),
inference(resolution,[],[f1356,f728]) ).
fof(f728,plain,
! [X0,X1] :
( ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| sP28(X1,X0)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0,X1] :
( sP28(X1,X0)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f248,f359]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v21_waybel_0(X2,X0,X1)
& v19_waybel_0(X2,X0,X1)
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc3_yellow_9) ).
fof(f1467,plain,
( ~ spl73_66
| spl73_32
| ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| spl73_85
| ~ spl73_86
| ~ spl73_69 ),
inference(avatar_split_clause,[],[f1454,f1349,f1464,f1460,f1146,f1134,f1121,f1106,f1088,f1301]) ).
fof(f1460,plain,
( spl73_85
<=> sP9(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_85])]) ).
fof(f1349,plain,
( spl73_69
<=> v1_yellow_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_69])]) ).
fof(f1454,plain,
( ~ v24_waybel_0(sK40)
| sP9(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_69 ),
inference(resolution,[],[f1351,f595]) ).
fof(f595,plain,
! [X0] :
( ~ v1_yellow_0(X0)
| ~ v24_waybel_0(X0)
| sP9(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( sP9(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f183,f323]) ).
fof(f323,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f183,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v24_waybel_0(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc12_waybel_0) ).
fof(f1351,plain,
( v1_yellow_0(sK40)
| ~ spl73_69 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1458,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_41
| spl73_84
| ~ spl73_66
| ~ spl73_69 ),
inference(avatar_split_clause,[],[f1453,f1349,f1301,f1456,f1134,f1106,f1088]) ).
fof(f1453,plain,
( ! [X0] :
( ~ l1_orders_2(sK40)
| sP27(sK40,X0)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl73_69 ),
inference(resolution,[],[f1351,f720]) ).
fof(f720,plain,
! [X0,X1] :
( ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| sP27(X1,X0)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1] :
( sP27(X1,X0)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f246,f357]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X2] :
( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X2] :
( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v22_waybel_0(X2,X0,X1)
& v20_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc4_yellow_9) ).
fof(f1450,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_6
| spl73_83
| ~ spl73_5 ),
inference(avatar_split_clause,[],[f1440,f902,f1447,f906,f888,f1260]) ).
fof(f1447,plain,
( spl73_83
<=> sP6(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_83])]) ).
fof(f1440,plain,
( sP6(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_5 ),
inference(resolution,[],[f1340,f566]) ).
fof(f1445,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_6
| ~ spl73_11
| spl73_82
| ~ spl73_5 ),
inference(avatar_split_clause,[],[f1439,f902,f1442,f934,f906,f888,f1260]) ).
fof(f1442,plain,
( spl73_82
<=> sP10(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_82])]) ).
fof(f1439,plain,
( sP10(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_5 ),
inference(resolution,[],[f1340,f600]) ).
fof(f1432,plain,
( ~ spl73_61
| ~ spl73_6
| ~ spl73_13
| spl73_81
| ~ spl73_5 ),
inference(avatar_split_clause,[],[f1427,f902,f1429,f946,f906,f1260]) ).
fof(f1429,plain,
( spl73_81
<=> sP12(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_81])]) ).
fof(f1427,plain,
( sP12(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_5 ),
inference(resolution,[],[f1339,f612]) ).
fof(f1424,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_6
| ~ spl73_11
| spl73_79
| ~ spl73_80
| ~ spl73_68 ),
inference(avatar_split_clause,[],[f1410,f1330,f1421,f1417,f934,f906,f888,f1260]) ).
fof(f1417,plain,
( spl73_79
<=> sP11(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_79])]) ).
fof(f1410,plain,
( ~ v25_waybel_0(sK39)
| sP11(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_68 ),
inference(resolution,[],[f1332,f606]) ).
fof(f1415,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_11
| spl73_78
| ~ spl73_61
| ~ spl73_68 ),
inference(avatar_split_clause,[],[f1408,f1330,f1260,f1413,f934,f906,f888]) ).
fof(f1408,plain,
( ! [X0] :
( ~ l1_orders_2(sK39)
| sP28(sK39,X0)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl73_68 ),
inference(resolution,[],[f1332,f728]) ).
fof(f1401,plain,
( ~ spl73_61
| spl73_2
| ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| spl73_76
| ~ spl73_77
| ~ spl73_67 ),
inference(avatar_split_clause,[],[f1388,f1325,f1398,f1394,f946,f934,f921,f906,f888,f1260]) ).
fof(f1394,plain,
( spl73_76
<=> sP9(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_76])]) ).
fof(f1325,plain,
( spl73_67
<=> v1_yellow_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_67])]) ).
fof(f1388,plain,
( ~ v24_waybel_0(sK39)
| sP9(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_67 ),
inference(resolution,[],[f1327,f595]) ).
fof(f1327,plain,
( v1_yellow_0(sK39)
| ~ spl73_67 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1392,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_11
| spl73_75
| ~ spl73_61
| ~ spl73_67 ),
inference(avatar_split_clause,[],[f1387,f1325,f1260,f1390,f934,f906,f888]) ).
fof(f1387,plain,
( ! [X0] :
( ~ l1_orders_2(sK39)
| sP27(sK39,X0)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl73_67 ),
inference(resolution,[],[f1327,f720]) ).
fof(f1386,plain,
( ~ spl73_73
| spl73_74 ),
inference(avatar_split_clause,[],[f1369,f1384,f1380]) ).
fof(f1369,plain,
! [X1] :
( sP15(k2_yellow_0(sK39,X1))
| ~ v4_membered(sF72) ),
inference(resolution,[],[f957,f633]) ).
fof(f1378,plain,
( ~ spl73_71
| spl73_72 ),
inference(avatar_split_clause,[],[f1368,f1376,f1372]) ).
fof(f1368,plain,
! [X0] :
( sP18(k2_yellow_0(sK39,X0))
| ~ v3_membered(sF72) ),
inference(resolution,[],[f957,f652]) ).
fof(f1357,plain,
( ~ spl73_66
| spl73_70
| ~ spl73_31 ),
inference(avatar_split_clause,[],[f1347,f1084,f1354,f1301]) ).
fof(f1084,plain,
( spl73_31
<=> v3_yellow_0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_31])]) ).
fof(f1347,plain,
( v2_yellow_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_31 ),
inference(resolution,[],[f1086,f554]) ).
fof(f554,plain,
! [X0] :
( ~ v3_yellow_0(X0)
| v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_yellow_0(X0) )
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_yellow_0(X0) )
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v3_yellow_0(X0)
=> ( v2_yellow_0(X0)
& v1_yellow_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc4_yellow_0) ).
fof(f1086,plain,
( v3_yellow_0(sK40)
| ~ spl73_31 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1352,plain,
( ~ spl73_66
| spl73_69
| ~ spl73_31 ),
inference(avatar_split_clause,[],[f1346,f1084,f1349,f1301]) ).
fof(f1346,plain,
( v1_yellow_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_31 ),
inference(resolution,[],[f1086,f553]) ).
fof(f553,plain,
! [X0] :
( ~ v3_yellow_0(X0)
| v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1345,plain,
spl73_66,
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| spl73_66 ),
inference(resolution,[],[f1303,f510]) ).
fof(f1303,plain,
( ~ l1_orders_2(sK40)
| spl73_66 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1333,plain,
( ~ spl73_61
| spl73_68
| ~ spl73_1 ),
inference(avatar_split_clause,[],[f1323,f884,f1330,f1260]) ).
fof(f884,plain,
( spl73_1
<=> v3_yellow_0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_1])]) ).
fof(f1323,plain,
( v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_1 ),
inference(resolution,[],[f886,f554]) ).
fof(f886,plain,
( v3_yellow_0(sK39)
| ~ spl73_1 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1328,plain,
( ~ spl73_61
| spl73_67
| ~ spl73_1 ),
inference(avatar_split_clause,[],[f1322,f884,f1325,f1260]) ).
fof(f1322,plain,
( v1_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_1 ),
inference(resolution,[],[f886,f553]) ).
fof(f1321,plain,
spl73_61,
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| spl73_61 ),
inference(resolution,[],[f1262,f503]) ).
fof(f1262,plain,
( ~ l1_orders_2(sK39)
| spl73_61 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1317,plain,
spl73_33,
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| spl73_33 ),
inference(resolution,[],[f1094,f509]) ).
fof(f509,plain,
v3_lattice3(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1094,plain,
( ~ v3_lattice3(sK40)
| spl73_33 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1315,plain,
spl73_43,
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1314,plain,
( $false
| spl73_43 ),
inference(resolution,[],[f1148,f507]) ).
fof(f507,plain,
v1_lattice3(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1148,plain,
( ~ v1_lattice3(sK40)
| spl73_43 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1313,plain,
spl73_44,
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1312,plain,
( $false
| spl73_44 ),
inference(resolution,[],[f1152,f508]) ).
fof(f508,plain,
v2_lattice3(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1152,plain,
( ~ v2_lattice3(sK40)
| spl73_44 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1311,plain,
spl73_41,
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1310,plain,
( $false
| spl73_41 ),
inference(resolution,[],[f1136,f506]) ).
fof(f506,plain,
v4_orders_2(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1136,plain,
( ~ v4_orders_2(sK40)
| spl73_41 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1309,plain,
spl73_39,
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1308,plain,
( $false
| spl73_39 ),
inference(resolution,[],[f1123,f505]) ).
fof(f505,plain,
v3_orders_2(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1123,plain,
( ~ v3_orders_2(sK40)
| spl73_39 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1307,plain,
spl73_36,
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| spl73_36 ),
inference(resolution,[],[f1108,f504]) ).
fof(f504,plain,
v2_orders_2(sK40),
inference(cnf_transformation,[],[f385]) ).
fof(f1108,plain,
( ~ v2_orders_2(sK40)
| spl73_36 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1305,plain,
( ~ spl73_66
| ~ spl73_44
| ~ spl73_32 ),
inference(avatar_split_clause,[],[f1299,f1088,f1150,f1301]) ).
fof(f1299,plain,
( ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_32 ),
inference(resolution,[],[f1090,f555]) ).
fof(f1090,plain,
( v3_struct_0(sK40)
| ~ spl73_32 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1304,plain,
( ~ spl73_66
| ~ spl73_43
| ~ spl73_32 ),
inference(avatar_split_clause,[],[f1298,f1088,f1146,f1301]) ).
fof(f1298,plain,
( ~ v1_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl73_32 ),
inference(resolution,[],[f1090,f556]) ).
fof(f1297,plain,
spl73_3,
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| spl73_3 ),
inference(resolution,[],[f894,f502]) ).
fof(f502,plain,
v3_lattice3(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f894,plain,
( ~ v3_lattice3(sK39)
| spl73_3 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1295,plain,
spl73_13,
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| spl73_13 ),
inference(resolution,[],[f948,f500]) ).
fof(f500,plain,
v1_lattice3(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f948,plain,
( ~ v1_lattice3(sK39)
| spl73_13 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1293,plain,
spl73_14,
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1292,plain,
( $false
| spl73_14 ),
inference(resolution,[],[f952,f501]) ).
fof(f501,plain,
v2_lattice3(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f952,plain,
( ~ v2_lattice3(sK39)
| spl73_14 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1291,plain,
spl73_11,
inference(avatar_contradiction_clause,[],[f1290]) ).
fof(f1290,plain,
( $false
| spl73_11 ),
inference(resolution,[],[f936,f499]) ).
fof(f499,plain,
v4_orders_2(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f936,plain,
( ~ v4_orders_2(sK39)
| spl73_11 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1288,plain,
spl73_9,
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1287,plain,
( $false
| spl73_9 ),
inference(resolution,[],[f923,f498]) ).
fof(f498,plain,
v3_orders_2(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f923,plain,
( ~ v3_orders_2(sK39)
| spl73_9 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f1286,plain,
spl73_6,
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1285,plain,
( $false
| spl73_6 ),
inference(resolution,[],[f908,f497]) ).
fof(f497,plain,
v2_orders_2(sK39),
inference(cnf_transformation,[],[f385]) ).
fof(f908,plain,
( ~ v2_orders_2(sK39)
| spl73_6 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f1284,plain,
( ~ spl73_64
| spl73_65 ),
inference(avatar_split_clause,[],[f1266,f1281,f1277]) ).
fof(f1277,plain,
( spl73_64
<=> v4_membered(sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_64])]) ).
fof(f1281,plain,
( spl73_65
<=> sP15(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_65])]) ).
fof(f1266,plain,
( sP15(sK42)
| ~ v4_membered(sF66) ),
inference(resolution,[],[f853,f633]) ).
fof(f1275,plain,
( ~ spl73_62
| spl73_63 ),
inference(avatar_split_clause,[],[f1265,f1272,f1268]) ).
fof(f1268,plain,
( spl73_62
<=> v3_membered(sF66) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_62])]) ).
fof(f1272,plain,
( spl73_63
<=> sP18(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_63])]) ).
fof(f1265,plain,
( sP18(sK42)
| ~ v3_membered(sF66) ),
inference(resolution,[],[f853,f652]) ).
fof(f1264,plain,
( ~ spl73_61
| ~ spl73_14
| ~ spl73_2 ),
inference(avatar_split_clause,[],[f1258,f888,f950,f1260]) ).
fof(f1258,plain,
( ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_2 ),
inference(resolution,[],[f890,f555]) ).
fof(f890,plain,
( v3_struct_0(sK39)
| ~ spl73_2 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f1263,plain,
( ~ spl73_61
| ~ spl73_13
| ~ spl73_2 ),
inference(avatar_split_clause,[],[f1257,f888,f946,f1260]) ).
fof(f1257,plain,
( ~ v1_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl73_2 ),
inference(resolution,[],[f890,f556]) ).
fof(f1256,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| ~ spl73_33
| spl73_60 ),
inference(avatar_split_clause,[],[f1252,f1254,f1092,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1252,plain,
! [X34,X35] :
( ~ v1_funct_2(X35,u1_struct_0(X34),sF66)
| ~ m2_relset_1(X35,u1_struct_0(X34),sF66)
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X34)
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1251,f846]) ).
fof(f1251,plain,
! [X34,X35] :
( ~ m2_relset_1(X35,u1_struct_0(X34),sF66)
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X34)
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1250,f846]) ).
fof(f1250,plain,
! [X34,X35] :
( ~ v1_funct_2(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1249,f846]) ).
fof(f1249,plain,
! [X34,X35] :
( ~ m2_relset_1(k1_waybel34(X34,sK40,X35),sF66,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),u1_struct_0(sK40),u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1082,f846]) ).
fof(f1082,plain,
! [X34,X35] :
( ~ m2_relset_1(k1_waybel34(X34,sK40,X35),u1_struct_0(sK40),u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK40,X35),u1_struct_0(sK40),u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK40,X35))
| ~ v17_waybel_0(X35,X34,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK40))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK40,X35,k1_waybel34(X34,sK40,X35)),X34,sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(resolution,[],[f510,f845]) ).
fof(f845,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(equality_resolution,[],[f689]) ).
fof(f689,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f433]) ).
fof(f433,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(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_funct_1(X2) )
=> ( ( v17_waybel_0(X2,X0,X1)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',d1_waybel34) ).
fof(f1241,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| ~ spl73_33
| spl73_59 ),
inference(avatar_split_clause,[],[f1237,f1239,f1092,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1237,plain,
! [X29,X30] :
( ~ m2_relset_1(X29,u1_struct_0(X30),sF66)
| ~ v1_funct_2(X29,u1_struct_0(X30),sF66)
| ~ v17_waybel_0(X29,X30,sK40)
| ~ v1_funct_1(X29)
| sP38(X30,sK40,X29)
| ~ v3_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_literal_rewriting,[],[f1236,f803]) ).
fof(f1236,plain,
! [X29,X30] :
( ~ v1_funct_2(X29,u1_struct_0(X30),sF66)
| ~ m1_relset_1(X29,u1_struct_0(X30),sF66)
| ~ v17_waybel_0(X29,X30,sK40)
| ~ v1_funct_1(X29)
| sP38(X30,sK40,X29)
| ~ v3_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_demodulation,[],[f1235,f846]) ).
fof(f1235,plain,
! [X29,X30] :
( ~ m1_relset_1(X29,u1_struct_0(X30),sF66)
| ~ v17_waybel_0(X29,X30,sK40)
| ~ v1_funct_2(X29,u1_struct_0(X30),u1_struct_0(sK40))
| ~ v1_funct_1(X29)
| sP38(X30,sK40,X29)
| ~ v3_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_demodulation,[],[f1080,f846]) ).
fof(f1080,plain,
! [X29,X30] :
( ~ m1_relset_1(X29,u1_struct_0(X30),u1_struct_0(sK40))
| ~ v17_waybel_0(X29,X30,sK40)
| ~ v1_funct_2(X29,u1_struct_0(X30),u1_struct_0(sK40))
| ~ v1_funct_1(X29)
| sP38(X30,sK40,X29)
| ~ v3_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(resolution,[],[f510,f801]) ).
fof(f801,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| sP38(X0,X1,X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f380,plain,
! [X0,X1,X2] :
( sP38(X0,X1,X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f291,f379]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f91]) ).
fof(f91,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc1_waybel34) ).
fof(f1234,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| spl73_58 ),
inference(avatar_split_clause,[],[f1230,f1232,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1230,plain,
! [X28,X27] :
( ~ m2_relset_1(X27,u1_struct_0(X28),sF66)
| ~ v1_funct_2(X27,u1_struct_0(X28),sF66)
| ~ v1_funct_1(X27)
| sP37(X28,sK40,X27)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_literal_rewriting,[],[f1229,f803]) ).
fof(f1229,plain,
! [X28,X27] :
( ~ v1_funct_2(X27,u1_struct_0(X28),sF66)
| ~ m1_relset_1(X27,u1_struct_0(X28),sF66)
| ~ v1_funct_1(X27)
| sP37(X28,sK40,X27)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_demodulation,[],[f1228,f846]) ).
fof(f1228,plain,
! [X28,X27] :
( ~ m1_relset_1(X27,u1_struct_0(X28),sF66)
| ~ v1_funct_2(X27,u1_struct_0(X28),u1_struct_0(sK40))
| ~ v1_funct_1(X27)
| sP37(X28,sK40,X27)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_demodulation,[],[f1079,f846]) ).
fof(f1079,plain,
! [X28,X27] :
( ~ m1_relset_1(X27,u1_struct_0(X28),u1_struct_0(sK40))
| ~ v1_funct_2(X27,u1_struct_0(X28),u1_struct_0(sK40))
| ~ v1_funct_1(X27)
| sP37(X28,sK40,X27)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(resolution,[],[f510,f792]) ).
fof(f792,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| sP37(X0,X1,X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f378,plain,
! [X0,X1,X2] :
( sP37(X0,X1,X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f289,f377]) ).
fof(f289,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f288]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k1_waybel34) ).
fof(f1227,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| ~ spl73_33
| spl73_57 ),
inference(avatar_split_clause,[],[f1078,f1225,f1092,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1225,plain,
( spl73_57
<=> ! [X26] :
( v3_waybel_1(sK53(X26,sK40),X26,sK40)
| ~ v2_orders_2(X26)
| ~ v3_orders_2(X26)
| ~ v4_orders_2(X26)
| ~ v1_lattice3(X26)
| ~ v2_lattice3(X26)
| ~ v3_lattice3(X26)
| ~ l1_orders_2(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_57])]) ).
fof(f1078,plain,
! [X26] :
( v3_waybel_1(sK53(X26,sK40),X26,sK40)
| ~ v3_lattice3(sK40)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X26)
| ~ v3_lattice3(X26)
| ~ v2_lattice3(X26)
| ~ v1_lattice3(X26)
| ~ v4_orders_2(X26)
| ~ v3_orders_2(X26)
| ~ v2_orders_2(X26) ),
inference(resolution,[],[f510,f781]) ).
fof(f781,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v3_waybel_1(sK53(X0,X1),X0,X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0,X1] :
( v3_waybel_1(sK53(X0,X1),X0,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f282,f468]) ).
fof(f468,plain,
! [X0,X1] :
( ? [X2] : v3_waybel_1(X2,X0,X1)
=> v3_waybel_1(sK53(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0,X1] :
( ? [X2] : v3_waybel_1(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( ? [X2] : v3_waybel_1(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ? [X2] : v3_waybel_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ? [X2] :
( v3_waybel_1(X2,X0,X1)
& m1_waybel_1(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc1_waybel34) ).
fof(f1223,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| spl73_56 ),
inference(avatar_split_clause,[],[f1077,f1221,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1077,plain,
! [X25] :
( sP36(sK40,X25)
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X25)
| ~ v2_lattice3(X25)
| ~ v1_lattice3(X25)
| ~ v4_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v2_orders_2(X25) ),
inference(resolution,[],[f510,f780]) ).
fof(f780,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| sP36(X1,X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f376,plain,
! [X0,X1] :
( sP36(X1,X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f280,f375]) ).
fof(f280,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ? [X2] :
( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f103]) ).
fof(f103,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ? [X2] :
( v20_waybel_0(X2,X0,X1)
& v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc1_lattice5) ).
fof(f1219,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_44
| spl73_55 ),
inference(avatar_split_clause,[],[f1215,f1217,f1150,f1134,f1121,f1106]) ).
fof(f1215,plain,
! [X24,X23] :
( ~ m2_relset_1(X23,u1_struct_0(X24),sF66)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF66)
| ~ v19_waybel_0(X23,X24,sK40)
| ~ v1_funct_1(X23)
| sP35(sK40,X24,X23)
| ~ v2_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_literal_rewriting,[],[f1214,f803]) ).
fof(f1214,plain,
! [X24,X23] :
( ~ m1_relset_1(X23,u1_struct_0(X24),sF66)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF66)
| ~ v19_waybel_0(X23,X24,sK40)
| ~ v1_funct_1(X23)
| sP35(sK40,X24,X23)
| ~ v2_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_demodulation,[],[f1213,f846]) ).
fof(f1213,plain,
! [X24,X23] :
( ~ v1_funct_2(X23,u1_struct_0(X24),sF66)
| ~ v19_waybel_0(X23,X24,sK40)
| ~ v1_funct_1(X23)
| ~ m1_relset_1(X23,u1_struct_0(X24),u1_struct_0(sK40))
| sP35(sK40,X24,X23)
| ~ v2_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_demodulation,[],[f1076,f846]) ).
fof(f1076,plain,
! [X24,X23] :
( ~ v19_waybel_0(X23,X24,sK40)
| ~ v1_funct_2(X23,u1_struct_0(X24),u1_struct_0(sK40))
| ~ v1_funct_1(X23)
| ~ m1_relset_1(X23,u1_struct_0(X24),u1_struct_0(sK40))
| sP35(sK40,X24,X23)
| ~ v2_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(resolution,[],[f510,f774]) ).
fof(f774,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| sP35(X1,X0,X2)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0,X1] :
( ! [X2] :
( sP35(X1,X0,X2)
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f278,f373]) ).
fof(f373,plain,
! [X1,X0,X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP35(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f278,plain,
! [X0,X1] :
( ! [X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ! [X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_waybel21) ).
fof(f1210,plain,
( spl73_32
| ~ spl73_36
| spl73_54 ),
inference(avatar_split_clause,[],[f1074,f1208,f1106,f1088]) ).
fof(f1074,plain,
! [X21] :
( sP34(sK40,X21)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X21) ),
inference(resolution,[],[f510,f767]) ).
fof(f767,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| sP34(X1,X0)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1] :
( sP34(X1,X0)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f270,f371]) ).
fof(f270,plain,
! [X0,X1] :
( ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0) )
=> ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f106,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0) )
=> ? [X2] :
( v5_orders_3(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc1_waybel10) ).
fof(f1206,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_41
| spl73_53 ),
inference(avatar_split_clause,[],[f1202,f1204,f1134,f1106,f1088]) ).
fof(f1204,plain,
( spl73_53
<=> ! [X20,X19] :
( ~ m2_relset_1(X19,u1_struct_0(X20),sF66)
| v3_struct_0(X20)
| ~ v2_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ l1_orders_2(X20)
| sP30(sK40,X20,X19)
| ~ v1_funct_1(X19)
| ~ v22_waybel_0(X19,X20,sK40)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_53])]) ).
fof(f1202,plain,
! [X19,X20] :
( ~ m2_relset_1(X19,u1_struct_0(X20),sF66)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF66)
| ~ v22_waybel_0(X19,X20,sK40)
| ~ v1_funct_1(X19)
| sP30(sK40,X20,X19)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_literal_rewriting,[],[f1201,f803]) ).
fof(f1201,plain,
! [X19,X20] :
( ~ m1_relset_1(X19,u1_struct_0(X20),sF66)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF66)
| ~ v22_waybel_0(X19,X20,sK40)
| ~ v1_funct_1(X19)
| sP30(sK40,X20,X19)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_demodulation,[],[f1200,f846]) ).
fof(f1200,plain,
! [X19,X20] :
( ~ v1_funct_2(X19,u1_struct_0(X20),sF66)
| ~ v22_waybel_0(X19,X20,sK40)
| ~ v1_funct_1(X19)
| ~ m1_relset_1(X19,u1_struct_0(X20),u1_struct_0(sK40))
| sP30(sK40,X20,X19)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_demodulation,[],[f1073,f846]) ).
fof(f1073,plain,
! [X19,X20] :
( ~ v22_waybel_0(X19,X20,sK40)
| ~ v1_funct_2(X19,u1_struct_0(X20),u1_struct_0(sK40))
| ~ v1_funct_1(X19)
| ~ m1_relset_1(X19,u1_struct_0(X20),u1_struct_0(sK40))
| sP30(sK40,X20,X19)
| ~ v4_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(resolution,[],[f510,f744]) ).
fof(f744,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| sP30(X1,X0,X2)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0,X1] :
( ! [X2] :
( sP30(X1,X0,X2)
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f260,f363]) ).
fof(f363,plain,
! [X1,X0,X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) )
| ~ sP30(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f260,plain,
! [X0,X1] :
( ! [X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) )
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ! [X2] :
( ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) )
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_waybel17) ).
fof(f1199,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| spl73_52 ),
inference(avatar_split_clause,[],[f1195,f1197,f1134,f1121,f1106,f1088]) ).
fof(f1197,plain,
( spl73_52
<=> ! [X18,X17] :
( ~ m2_relset_1(X17,u1_struct_0(X18),sF66)
| v3_struct_0(X18)
| ~ v2_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ l1_orders_2(X18)
| sP29(sK40,X18,X17)
| ~ v1_funct_1(X17)
| ~ v5_waybel_1(X17,sK40,X18)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_52])]) ).
fof(f1195,plain,
! [X18,X17] :
( ~ m2_relset_1(X17,u1_struct_0(X18),sF66)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF66)
| ~ v5_waybel_1(X17,sK40,X18)
| ~ v1_funct_1(X17)
| sP29(sK40,X18,X17)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_literal_rewriting,[],[f1194,f803]) ).
fof(f1194,plain,
! [X18,X17] :
( ~ m1_relset_1(X17,u1_struct_0(X18),sF66)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF66)
| ~ v5_waybel_1(X17,sK40,X18)
| ~ v1_funct_1(X17)
| sP29(sK40,X18,X17)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_demodulation,[],[f1193,f846]) ).
fof(f1193,plain,
! [X18,X17] :
( ~ v1_funct_2(X17,u1_struct_0(X18),sF66)
| ~ v5_waybel_1(X17,sK40,X18)
| ~ v1_funct_1(X17)
| ~ m1_relset_1(X17,u1_struct_0(X18),u1_struct_0(sK40))
| sP29(sK40,X18,X17)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_demodulation,[],[f1072,f846]) ).
fof(f1072,plain,
! [X18,X17] :
( ~ v5_waybel_1(X17,sK40,X18)
| ~ v1_funct_2(X17,u1_struct_0(X18),u1_struct_0(sK40))
| ~ v1_funct_1(X17)
| ~ m1_relset_1(X17,u1_struct_0(X18),u1_struct_0(sK40))
| sP29(sK40,X18,X17)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(resolution,[],[f510,f739]) ).
fof(f739,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v5_waybel_1(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| sP29(X1,X0,X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0,X1] :
( ! [X2] :
( sP29(X1,X0,X2)
| ~ v5_waybel_1(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f258,f361]) ).
fof(f361,plain,
! [X1,X0,X2] :
( ( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ sP29(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f258,plain,
! [X0,X1] :
( ! [X2] :
( ( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v5_waybel_1(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ! [X2] :
( ( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v5_waybel_1(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v5_waybel_1(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v5_waybel_1(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v5_waybel_1(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v20_waybel_0(X2,X0,X1)
& v18_waybel_0(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc2_waybel_1) ).
fof(f1192,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_39
| spl73_51 ),
inference(avatar_split_clause,[],[f1188,f1190,f1121,f1106,f1088]) ).
fof(f1190,plain,
( spl73_51
<=> ! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(sF66))
| v2_waybel_0(k5_waybel_0(sK40,X16),sK40)
| ~ v2_waybel_0(X16,sK40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_51])]) ).
fof(f1188,plain,
! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(sF66))
| ~ v2_waybel_0(X16,sK40)
| v2_waybel_0(k5_waybel_0(sK40,X16),sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1071,f846]) ).
fof(f1071,plain,
! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(sK40)))
| ~ v2_waybel_0(X16,sK40)
| v2_waybel_0(k5_waybel_0(sK40,X16),sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f733]) ).
fof(f733,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_waybel_0(X1,X0)
| v2_waybel_0(k5_waybel_0(X0,X1),X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( v2_waybel_0(k5_waybel_0(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_waybel_0(X1,X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( v2_waybel_0(k5_waybel_0(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_waybel_0(X1,X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v2_waybel_0(X1,X0)
& l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> v2_waybel_0(k5_waybel_0(X0,X1),X0) ),
inference(pure_predicate_removal,[],[f88]) ).
fof(f88,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v2_waybel_0(X1,X0)
& l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v13_waybel_0(k5_waybel_0(X0,X1),X0)
& v2_waybel_0(k5_waybel_0(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc17_waybel_0) ).
fof(f1187,plain,
( spl73_32
| ~ spl73_36
| spl73_50 ),
inference(avatar_split_clause,[],[f1183,f1185,f1106,f1088]) ).
fof(f1183,plain,
! [X15] :
( ~ m1_subset_1(X15,sF66)
| v2_waybel_0(k7_waybel_0(sK40,X15),sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1070,f846]) ).
fof(f1070,plain,
! [X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK40))
| v2_waybel_0(k7_waybel_0(sK40,X15),sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f732]) ).
fof(f732,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_waybel_0(k7_waybel_0(X0,X1),X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( ( v2_waybel_0(k7_waybel_0(X0,X1),X0)
& ~ v1_xboole_0(k7_waybel_0(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ( v2_waybel_0(k7_waybel_0(X0,X1),X0)
& ~ v1_xboole_0(k7_waybel_0(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_waybel_0(k7_waybel_0(X0,X1),X0)
& ~ v1_xboole_0(k7_waybel_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',fc10_waybel_0) ).
fof(f1182,plain,
( spl73_32
| ~ spl73_36
| spl73_49 ),
inference(avatar_split_clause,[],[f1178,f1180,f1106,f1088]) ).
fof(f1178,plain,
! [X14] :
( ~ m1_subset_1(X14,sF66)
| ~ v1_xboole_0(k7_waybel_0(sK40,X14))
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1069,f846]) ).
fof(f1069,plain,
! [X14] :
( ~ m1_subset_1(X14,u1_struct_0(sK40))
| ~ v1_xboole_0(k7_waybel_0(sK40,X14))
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f731]) ).
fof(f731,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(k7_waybel_0(X0,X1))
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f1177,plain,
( spl73_32
| spl73_48 ),
inference(avatar_split_clause,[],[f1173,f1175,f1088]) ).
fof(f1173,plain,
! [X13] :
( m1_subset_1(k7_waybel_0(sK40,X13),k1_zfmisc_1(sF66))
| ~ m1_subset_1(X13,sF66)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1172,f846]) ).
fof(f1172,plain,
! [X13] :
( ~ m1_subset_1(X13,sF66)
| m1_subset_1(k7_waybel_0(sK40,X13),k1_zfmisc_1(u1_struct_0(sK40)))
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1068,f846]) ).
fof(f1068,plain,
! [X13] :
( ~ m1_subset_1(X13,u1_struct_0(sK40))
| m1_subset_1(k7_waybel_0(sK40,X13),k1_zfmisc_1(u1_struct_0(sK40)))
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f729]) ).
fof(f729,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(k7_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1] :
( m1_subset_1(k7_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( m1_subset_1(k7_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_waybel_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',dt_k7_waybel_0) ).
fof(f1171,plain,
( spl73_32
| spl73_47 ),
inference(avatar_split_clause,[],[f1167,f1169,f1088]) ).
fof(f1169,plain,
( spl73_47
<=> ! [X11,X12] :
( ~ m2_relset_1(X11,u1_struct_0(X12),sF66)
| v3_struct_0(X12)
| ~ l1_orders_2(X12)
| sP26(sK40,X12,X11)
| ~ v1_funct_1(X11)
| ~ v18_waybel_0(X11,X12,sK40)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_47])]) ).
fof(f1167,plain,
! [X11,X12] :
( ~ m2_relset_1(X11,u1_struct_0(X12),sF66)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF66)
| ~ v18_waybel_0(X11,X12,sK40)
| ~ v1_funct_1(X11)
| sP26(sK40,X12,X11)
| v3_struct_0(sK40)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_literal_rewriting,[],[f1166,f803]) ).
fof(f1166,plain,
! [X11,X12] :
( ~ m1_relset_1(X11,u1_struct_0(X12),sF66)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF66)
| ~ v18_waybel_0(X11,X12,sK40)
| ~ v1_funct_1(X11)
| sP26(sK40,X12,X11)
| v3_struct_0(sK40)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_demodulation,[],[f1165,f846]) ).
fof(f1165,plain,
! [X11,X12] :
( ~ v1_funct_2(X11,u1_struct_0(X12),sF66)
| ~ v18_waybel_0(X11,X12,sK40)
| ~ v1_funct_1(X11)
| ~ m1_relset_1(X11,u1_struct_0(X12),u1_struct_0(sK40))
| sP26(sK40,X12,X11)
| v3_struct_0(sK40)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_demodulation,[],[f1067,f846]) ).
fof(f1067,plain,
! [X11,X12] :
( ~ v18_waybel_0(X11,X12,sK40)
| ~ v1_funct_2(X11,u1_struct_0(X12),u1_struct_0(sK40))
| ~ v1_funct_1(X11)
| ~ m1_relset_1(X11,u1_struct_0(X12),u1_struct_0(sK40))
| sP26(sK40,X12,X11)
| v3_struct_0(sK40)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(resolution,[],[f510,f712]) ).
fof(f712,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| sP26(X1,X0,X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0,X1] :
( ! [X2] :
( sP26(X1,X0,X2)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f244,f355]) ).
fof(f355,plain,
! [X1,X0,X2] :
( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP26(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f244,plain,
! [X0,X1] :
( ! [X2] :
( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ! [X2] :
( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v20_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc7_waybel_0) ).
fof(f1164,plain,
( spl73_32
| spl73_46 ),
inference(avatar_split_clause,[],[f1160,f1162,f1088]) ).
fof(f1160,plain,
! [X10,X9] :
( ~ m2_relset_1(X9,u1_struct_0(X10),sF66)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF66)
| ~ v17_waybel_0(X9,X10,sK40)
| ~ v1_funct_1(X9)
| sP25(sK40,X10,X9)
| v3_struct_0(sK40)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_literal_rewriting,[],[f1159,f803]) ).
fof(f1159,plain,
! [X10,X9] :
( ~ m1_relset_1(X9,u1_struct_0(X10),sF66)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF66)
| ~ v17_waybel_0(X9,X10,sK40)
| ~ v1_funct_1(X9)
| sP25(sK40,X10,X9)
| v3_struct_0(sK40)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_demodulation,[],[f1158,f846]) ).
fof(f1158,plain,
! [X10,X9] :
( ~ v1_funct_2(X9,u1_struct_0(X10),sF66)
| ~ v17_waybel_0(X9,X10,sK40)
| ~ v1_funct_1(X9)
| ~ m1_relset_1(X9,u1_struct_0(X10),u1_struct_0(sK40))
| sP25(sK40,X10,X9)
| v3_struct_0(sK40)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_demodulation,[],[f1066,f846]) ).
fof(f1066,plain,
! [X10,X9] :
( ~ v17_waybel_0(X9,X10,sK40)
| ~ v1_funct_2(X9,u1_struct_0(X10),u1_struct_0(sK40))
| ~ v1_funct_1(X9)
| ~ m1_relset_1(X9,u1_struct_0(X10),u1_struct_0(sK40))
| sP25(sK40,X10,X9)
| v3_struct_0(sK40)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(resolution,[],[f510,f708]) ).
fof(f708,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| sP25(X1,X0,X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0,X1] :
( ! [X2] :
( sP25(X1,X0,X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f242,f353]) ).
fof(f242,plain,
! [X0,X1] :
( ! [X2] :
( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ! [X2] :
( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v21_waybel_0(X2,X0,X1)
& v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc6_waybel_0) ).
fof(f1156,plain,
( ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| ~ spl73_43
| ~ spl73_44
| ~ spl73_33
| spl73_45 ),
inference(avatar_split_clause,[],[f1144,f1154,f1092,f1150,f1146,f1134,f1121,f1106]) ).
fof(f1154,plain,
( spl73_45
<=> ! [X6,X5,X7] :
( ~ v1_funct_2(X6,u1_struct_0(X5),sF66)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v1_funct_1(X6)
| ~ v3_lattice3(X5)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v1_funct_1(X7)
| ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ m2_relset_1(X7,sF66,u1_struct_0(X5))
| ~ v1_funct_2(X7,sF66,u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X5),sF66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_45])]) ).
fof(f1144,plain,
! [X6,X7,X5] :
( ~ v1_funct_2(X6,u1_struct_0(X5),sF66)
| ~ m2_relset_1(X6,u1_struct_0(X5),sF66)
| ~ v1_funct_2(X7,sF66,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF66,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X5)
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f1143,f846]) ).
fof(f1143,plain,
! [X6,X7,X5] :
( ~ m2_relset_1(X6,u1_struct_0(X5),sF66)
| ~ v1_funct_2(X7,sF66,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF66,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X5)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f1142,f846]) ).
fof(f1142,plain,
! [X6,X7,X5] :
( ~ v1_funct_2(X7,sF66,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF66,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f1141,f846]) ).
fof(f1141,plain,
! [X6,X7,X5] :
( ~ m2_relset_1(X7,sF66,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ v1_funct_2(X7,u1_struct_0(sK40),u1_struct_0(X5))
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f1064,f846]) ).
fof(f1064,plain,
! [X6,X7,X5] :
( ~ v3_waybel_1(k1_waybel_1(X5,sK40,X6,X7),X5,sK40)
| ~ m2_relset_1(X7,u1_struct_0(sK40),u1_struct_0(X5))
| ~ v1_funct_2(X7,u1_struct_0(sK40),u1_struct_0(X5))
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK40)
| ~ v3_lattice3(sK40)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK40))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK40,X6) = X7
| ~ v2_lattice3(sK40)
| ~ v1_lattice3(sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(resolution,[],[f510,f690]) ).
fof(f690,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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_funct_1(X2)
| k1_waybel34(X0,X1,X2) = X3
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f433]) ).
fof(f1140,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_39
| ~ spl73_41
| spl73_42 ),
inference(avatar_split_clause,[],[f1132,f1138,f1134,f1121,f1106,f1088]) ).
fof(f1132,plain,
! [X2,X3,X4] :
( ~ v1_funct_2(X4,u1_struct_0(X3),sF66)
| ~ m2_relset_1(X4,u1_struct_0(X3),sF66)
| ~ v1_funct_2(X2,sF66,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f1131,f846]) ).
fof(f1131,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X4,u1_struct_0(X3),sF66)
| ~ v1_funct_2(X2,sF66,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f1130,f846]) ).
fof(f1130,plain,
! [X2,X3,X4] :
( ~ v1_funct_2(X2,sF66,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f1129,f846]) ).
fof(f1129,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X2,sF66,u1_struct_0(X3))
| ~ v1_funct_2(X2,u1_struct_0(sK40),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f1063,f846]) ).
fof(f1063,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X2,u1_struct_0(sK40),u1_struct_0(X3))
| ~ v1_funct_2(X2,u1_struct_0(sK40),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK40))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK40)
| ~ v4_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(resolution,[],[f510,f686]) ).
fof(f686,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ 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_funct_1(X2)
| sP24(X3,X0,X2,X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP24(X3,X0,X2,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ 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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f225,f351,f350]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ 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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ 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_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(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_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',t11_waybel_1) ).
fof(f1128,plain,
( spl73_32
| ~ spl73_36
| ~ spl73_39
| spl73_40 ),
inference(avatar_split_clause,[],[f1062,f1125,f1121,f1106,f1088]) ).
fof(f1125,plain,
( spl73_40
<=> sP22(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_40])]) ).
fof(f1062,plain,
( sP22(sK40)
| ~ v3_orders_2(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f679]) ).
fof(f679,plain,
! [X0] :
( ~ l1_orders_2(X0)
| sP22(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( sP22(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f223,f348]) ).
fof(f223,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(pure_predicate_removal,[],[f100]) ).
fof(f100,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v13_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',rc10_waybel_0) ).
fof(f1119,plain,
( spl73_32
| spl73_38 ),
inference(avatar_split_clause,[],[f1115,f1117,f1088]) ).
fof(f1117,plain,
( spl73_38
<=> ! [X1] :
( ~ m1_subset_1(X1,sF66)
| sP21(X1,sK40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_38])]) ).
fof(f1115,plain,
! [X1] :
( ~ m1_subset_1(X1,sF66)
| sP21(X1,sK40)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1061,f846]) ).
fof(f1061,plain,
! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK40))
| sP21(X1,sK40)
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f675]) ).
fof(f675,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sP21(X1,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ! [X1] :
( sP21(X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f221,f346,f345]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',d6_waybel_1) ).
fof(f1114,plain,
( spl73_32
| spl73_37 ),
inference(avatar_split_clause,[],[f1110,f1112,f1088]) ).
fof(f1110,plain,
! [X0] :
( ~ m1_subset_1(X0,sF66)
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_struct_0(sK40,X0))
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f1060,f846]) ).
fof(f1060,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK40))
| k7_waybel_0(sK40,X0) = k5_waybel_0(sK40,k1_struct_0(sK40,X0))
| v3_struct_0(sK40) ),
inference(resolution,[],[f510,f668]) ).
fof(f668,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_waybel_0(X0,X1) = k5_waybel_0(X0,k1_struct_0(X0,X1))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( k7_waybel_0(X0,X1) = k5_waybel_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( k7_waybel_0(X0,X1) = k5_waybel_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k7_waybel_0(X0,X1) = k5_waybel_0(X0,k1_struct_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',d18_waybel_0) ).
fof(f1109,plain,
( spl73_35
| spl73_32
| ~ spl73_36
| ~ spl73_33 ),
inference(avatar_split_clause,[],[f1059,f1092,f1106,f1088,f1102]) ).
fof(f1059,plain,
( ~ v3_lattice3(sK40)
| ~ v2_orders_2(sK40)
| v3_struct_0(sK40)
| sP7(sK40) ),
inference(resolution,[],[f510,f571]) ).
fof(f571,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( sP7(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f179,f319]) ).
fof(f179,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc10_waybel_0) ).
fof(f1100,plain,
( spl73_34
| spl73_32
| ~ spl73_33 ),
inference(avatar_split_clause,[],[f1058,f1092,f1088,f1097]) ).
fof(f1097,plain,
( spl73_34
<=> sP5(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_34])]) ).
fof(f1058,plain,
( ~ v3_lattice3(sK40)
| v3_struct_0(sK40)
| sP5(sK40) ),
inference(resolution,[],[f510,f562]) ).
fof(f562,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( sP5(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f175,f315]) ).
fof(f315,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f175,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc1_yellow_0) ).
fof(f1095,plain,
( spl73_31
| spl73_32
| ~ spl73_33 ),
inference(avatar_split_clause,[],[f1057,f1092,f1088,f1084]) ).
fof(f1057,plain,
( ~ v3_lattice3(sK40)
| v3_struct_0(sK40)
| v3_yellow_0(sK40) ),
inference(resolution,[],[f510,f558]) ).
fof(f558,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v3_yellow_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903',cc3_yellow_0) ).
fof(f1056,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| ~ spl73_3
| spl73_30 ),
inference(avatar_split_clause,[],[f1052,f1054,f892,f950,f946,f934,f921,f906]) ).
fof(f1052,plain,
! [X34,X35] :
( ~ v1_funct_2(X35,u1_struct_0(X34),sF72)
| ~ m2_relset_1(X35,u1_struct_0(X34),sF72)
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X34)
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1051,f854]) ).
fof(f1051,plain,
! [X34,X35] :
( ~ m2_relset_1(X35,u1_struct_0(X34),sF72)
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X34)
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1050,f854]) ).
fof(f1050,plain,
! [X34,X35] :
( ~ v1_funct_2(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f1049,f854]) ).
fof(f1049,plain,
! [X34,X35] :
( ~ m2_relset_1(k1_waybel34(X34,sK39,X35),sF72,u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),u1_struct_0(sK39),u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(forward_demodulation,[],[f882,f854]) ).
fof(f882,plain,
! [X34,X35] :
( ~ m2_relset_1(k1_waybel34(X34,sK39,X35),u1_struct_0(sK39),u1_struct_0(X34))
| ~ v1_funct_2(k1_waybel34(X34,sK39,X35),u1_struct_0(sK39),u1_struct_0(X34))
| ~ v1_funct_1(k1_waybel34(X34,sK39,X35))
| ~ v17_waybel_0(X35,X34,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X34)
| ~ m2_relset_1(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_2(X35,u1_struct_0(X34),u1_struct_0(sK39))
| ~ v1_funct_1(X35)
| v3_waybel_1(k1_waybel_1(X34,sK39,X35,k1_waybel34(X34,sK39,X35)),X34,sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X34)
| ~ v2_lattice3(X34)
| ~ v1_lattice3(X34)
| ~ v4_orders_2(X34)
| ~ v3_orders_2(X34)
| ~ v2_orders_2(X34) ),
inference(resolution,[],[f503,f845]) ).
fof(f1041,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| ~ spl73_3
| spl73_29 ),
inference(avatar_split_clause,[],[f1037,f1039,f892,f950,f946,f934,f921,f906]) ).
fof(f1039,plain,
( spl73_29
<=> ! [X29,X30] :
( ~ m2_relset_1(X29,u1_struct_0(X30),sF72)
| ~ v2_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v4_orders_2(X30)
| ~ v1_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v3_lattice3(X30)
| ~ l1_orders_2(X30)
| sP38(X30,sK39,X29)
| ~ v1_funct_1(X29)
| ~ v17_waybel_0(X29,X30,sK39)
| ~ v1_funct_2(X29,u1_struct_0(X30),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_29])]) ).
fof(f1037,plain,
! [X29,X30] :
( ~ m2_relset_1(X29,u1_struct_0(X30),sF72)
| ~ v1_funct_2(X29,u1_struct_0(X30),sF72)
| ~ v17_waybel_0(X29,X30,sK39)
| ~ v1_funct_1(X29)
| sP38(X30,sK39,X29)
| ~ v3_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_literal_rewriting,[],[f1036,f803]) ).
fof(f1036,plain,
! [X29,X30] :
( ~ v1_funct_2(X29,u1_struct_0(X30),sF72)
| ~ m1_relset_1(X29,u1_struct_0(X30),sF72)
| ~ v17_waybel_0(X29,X30,sK39)
| ~ v1_funct_1(X29)
| sP38(X30,sK39,X29)
| ~ v3_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_demodulation,[],[f1035,f854]) ).
fof(f1035,plain,
! [X29,X30] :
( ~ m1_relset_1(X29,u1_struct_0(X30),sF72)
| ~ v17_waybel_0(X29,X30,sK39)
| ~ v1_funct_2(X29,u1_struct_0(X30),u1_struct_0(sK39))
| ~ v1_funct_1(X29)
| sP38(X30,sK39,X29)
| ~ v3_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(forward_demodulation,[],[f880,f854]) ).
fof(f880,plain,
! [X29,X30] :
( ~ m1_relset_1(X29,u1_struct_0(X30),u1_struct_0(sK39))
| ~ v17_waybel_0(X29,X30,sK39)
| ~ v1_funct_2(X29,u1_struct_0(X30),u1_struct_0(sK39))
| ~ v1_funct_1(X29)
| sP38(X30,sK39,X29)
| ~ v3_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X30)
| ~ v3_lattice3(X30)
| ~ v2_lattice3(X30)
| ~ v1_lattice3(X30)
| ~ v4_orders_2(X30)
| ~ v3_orders_2(X30)
| ~ v2_orders_2(X30) ),
inference(resolution,[],[f503,f801]) ).
fof(f1034,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| spl73_28 ),
inference(avatar_split_clause,[],[f1030,f1032,f950,f946,f934,f921,f906]) ).
fof(f1030,plain,
! [X28,X27] :
( ~ m2_relset_1(X27,u1_struct_0(X28),sF72)
| ~ v1_funct_2(X27,u1_struct_0(X28),sF72)
| ~ v1_funct_1(X27)
| sP37(X28,sK39,X27)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_literal_rewriting,[],[f1029,f803]) ).
fof(f1029,plain,
! [X28,X27] :
( ~ v1_funct_2(X27,u1_struct_0(X28),sF72)
| ~ m1_relset_1(X27,u1_struct_0(X28),sF72)
| ~ v1_funct_1(X27)
| sP37(X28,sK39,X27)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_demodulation,[],[f1028,f854]) ).
fof(f1028,plain,
! [X28,X27] :
( ~ m1_relset_1(X27,u1_struct_0(X28),sF72)
| ~ v1_funct_2(X27,u1_struct_0(X28),u1_struct_0(sK39))
| ~ v1_funct_1(X27)
| sP37(X28,sK39,X27)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(forward_demodulation,[],[f879,f854]) ).
fof(f879,plain,
! [X28,X27] :
( ~ m1_relset_1(X27,u1_struct_0(X28),u1_struct_0(sK39))
| ~ v1_funct_2(X27,u1_struct_0(X28),u1_struct_0(sK39))
| ~ v1_funct_1(X27)
| sP37(X28,sK39,X27)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X28)
| ~ v2_lattice3(X28)
| ~ v1_lattice3(X28)
| ~ v4_orders_2(X28)
| ~ v3_orders_2(X28)
| ~ v2_orders_2(X28) ),
inference(resolution,[],[f503,f792]) ).
fof(f1027,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| ~ spl73_3
| spl73_27 ),
inference(avatar_split_clause,[],[f878,f1025,f892,f950,f946,f934,f921,f906]) ).
fof(f1025,plain,
( spl73_27
<=> ! [X26] :
( v3_waybel_1(sK53(X26,sK39),X26,sK39)
| ~ v2_orders_2(X26)
| ~ v3_orders_2(X26)
| ~ v4_orders_2(X26)
| ~ v1_lattice3(X26)
| ~ v2_lattice3(X26)
| ~ v3_lattice3(X26)
| ~ l1_orders_2(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_27])]) ).
fof(f878,plain,
! [X26] :
( v3_waybel_1(sK53(X26,sK39),X26,sK39)
| ~ v3_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X26)
| ~ v3_lattice3(X26)
| ~ v2_lattice3(X26)
| ~ v1_lattice3(X26)
| ~ v4_orders_2(X26)
| ~ v3_orders_2(X26)
| ~ v2_orders_2(X26) ),
inference(resolution,[],[f503,f781]) ).
fof(f1023,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| spl73_26 ),
inference(avatar_split_clause,[],[f877,f1021,f950,f946,f934,f921,f906]) ).
fof(f877,plain,
! [X25] :
( sP36(sK39,X25)
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X25)
| ~ v2_lattice3(X25)
| ~ v1_lattice3(X25)
| ~ v4_orders_2(X25)
| ~ v3_orders_2(X25)
| ~ v2_orders_2(X25) ),
inference(resolution,[],[f503,f780]) ).
fof(f1019,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_14
| spl73_25 ),
inference(avatar_split_clause,[],[f1015,f1017,f950,f934,f921,f906]) ).
fof(f1017,plain,
( spl73_25
<=> ! [X24,X23] :
( ~ m2_relset_1(X23,u1_struct_0(X24),sF72)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ l1_orders_2(X24)
| sP35(sK39,X24,X23)
| ~ v1_funct_1(X23)
| ~ v19_waybel_0(X23,X24,sK39)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_25])]) ).
fof(f1015,plain,
! [X24,X23] :
( ~ m2_relset_1(X23,u1_struct_0(X24),sF72)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF72)
| ~ v19_waybel_0(X23,X24,sK39)
| ~ v1_funct_1(X23)
| sP35(sK39,X24,X23)
| ~ v2_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_literal_rewriting,[],[f1014,f803]) ).
fof(f1014,plain,
! [X24,X23] :
( ~ m1_relset_1(X23,u1_struct_0(X24),sF72)
| ~ v1_funct_2(X23,u1_struct_0(X24),sF72)
| ~ v19_waybel_0(X23,X24,sK39)
| ~ v1_funct_1(X23)
| sP35(sK39,X24,X23)
| ~ v2_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_demodulation,[],[f1013,f854]) ).
fof(f1013,plain,
! [X24,X23] :
( ~ v1_funct_2(X23,u1_struct_0(X24),sF72)
| ~ v19_waybel_0(X23,X24,sK39)
| ~ v1_funct_1(X23)
| ~ m1_relset_1(X23,u1_struct_0(X24),u1_struct_0(sK39))
| sP35(sK39,X24,X23)
| ~ v2_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(forward_demodulation,[],[f876,f854]) ).
fof(f876,plain,
! [X24,X23] :
( ~ v19_waybel_0(X23,X24,sK39)
| ~ v1_funct_2(X23,u1_struct_0(X24),u1_struct_0(sK39))
| ~ v1_funct_1(X23)
| ~ m1_relset_1(X23,u1_struct_0(X24),u1_struct_0(sK39))
| sP35(sK39,X24,X23)
| ~ v2_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X24)
| ~ v2_lattice3(X24)
| ~ v4_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v2_orders_2(X24) ),
inference(resolution,[],[f503,f774]) ).
fof(f1010,plain,
( spl73_2
| ~ spl73_6
| spl73_24 ),
inference(avatar_split_clause,[],[f874,f1008,f906,f888]) ).
fof(f874,plain,
! [X21] :
( sP34(sK39,X21)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X21) ),
inference(resolution,[],[f503,f767]) ).
fof(f1006,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_11
| spl73_23 ),
inference(avatar_split_clause,[],[f1002,f1004,f934,f906,f888]) ).
fof(f1002,plain,
! [X19,X20] :
( ~ m2_relset_1(X19,u1_struct_0(X20),sF72)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF72)
| ~ v22_waybel_0(X19,X20,sK39)
| ~ v1_funct_1(X19)
| sP30(sK39,X20,X19)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_literal_rewriting,[],[f1001,f803]) ).
fof(f1001,plain,
! [X19,X20] :
( ~ m1_relset_1(X19,u1_struct_0(X20),sF72)
| ~ v1_funct_2(X19,u1_struct_0(X20),sF72)
| ~ v22_waybel_0(X19,X20,sK39)
| ~ v1_funct_1(X19)
| sP30(sK39,X20,X19)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_demodulation,[],[f1000,f854]) ).
fof(f1000,plain,
! [X19,X20] :
( ~ v1_funct_2(X19,u1_struct_0(X20),sF72)
| ~ v22_waybel_0(X19,X20,sK39)
| ~ v1_funct_1(X19)
| ~ m1_relset_1(X19,u1_struct_0(X20),u1_struct_0(sK39))
| sP30(sK39,X20,X19)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(forward_demodulation,[],[f873,f854]) ).
fof(f873,plain,
! [X19,X20] :
( ~ v22_waybel_0(X19,X20,sK39)
| ~ v1_funct_2(X19,u1_struct_0(X20),u1_struct_0(sK39))
| ~ v1_funct_1(X19)
| ~ m1_relset_1(X19,u1_struct_0(X20),u1_struct_0(sK39))
| sP30(sK39,X20,X19)
| ~ v4_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X20)
| ~ v4_orders_2(X20)
| ~ v2_orders_2(X20)
| v3_struct_0(X20) ),
inference(resolution,[],[f503,f744]) ).
fof(f999,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| spl73_22 ),
inference(avatar_split_clause,[],[f995,f997,f934,f921,f906,f888]) ).
fof(f995,plain,
! [X18,X17] :
( ~ m2_relset_1(X17,u1_struct_0(X18),sF72)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF72)
| ~ v5_waybel_1(X17,sK39,X18)
| ~ v1_funct_1(X17)
| sP29(sK39,X18,X17)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_literal_rewriting,[],[f994,f803]) ).
fof(f994,plain,
! [X18,X17] :
( ~ m1_relset_1(X17,u1_struct_0(X18),sF72)
| ~ v1_funct_2(X17,u1_struct_0(X18),sF72)
| ~ v5_waybel_1(X17,sK39,X18)
| ~ v1_funct_1(X17)
| sP29(sK39,X18,X17)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_demodulation,[],[f993,f854]) ).
fof(f993,plain,
! [X18,X17] :
( ~ v1_funct_2(X17,u1_struct_0(X18),sF72)
| ~ v5_waybel_1(X17,sK39,X18)
| ~ v1_funct_1(X17)
| ~ m1_relset_1(X17,u1_struct_0(X18),u1_struct_0(sK39))
| sP29(sK39,X18,X17)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(forward_demodulation,[],[f872,f854]) ).
fof(f872,plain,
! [X18,X17] :
( ~ v5_waybel_1(X17,sK39,X18)
| ~ v1_funct_2(X17,u1_struct_0(X18),u1_struct_0(sK39))
| ~ v1_funct_1(X17)
| ~ m1_relset_1(X17,u1_struct_0(X18),u1_struct_0(sK39))
| sP29(sK39,X18,X17)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X18)
| ~ v4_orders_2(X18)
| ~ v3_orders_2(X18)
| ~ v2_orders_2(X18)
| v3_struct_0(X18) ),
inference(resolution,[],[f503,f739]) ).
fof(f992,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_9
| spl73_21 ),
inference(avatar_split_clause,[],[f988,f990,f921,f906,f888]) ).
fof(f988,plain,
! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(sF72))
| ~ v2_waybel_0(X16,sK39)
| v2_waybel_0(k5_waybel_0(sK39,X16),sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f871,f854]) ).
fof(f871,plain,
! [X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(sK39)))
| ~ v2_waybel_0(X16,sK39)
| v2_waybel_0(k5_waybel_0(sK39,X16),sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f733]) ).
fof(f987,plain,
( spl73_2
| ~ spl73_6
| spl73_20 ),
inference(avatar_split_clause,[],[f983,f985,f906,f888]) ).
fof(f985,plain,
( spl73_20
<=> ! [X15] :
( ~ m1_subset_1(X15,sF72)
| v2_waybel_0(k7_waybel_0(sK39,X15),sK39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_20])]) ).
fof(f983,plain,
! [X15] :
( ~ m1_subset_1(X15,sF72)
| v2_waybel_0(k7_waybel_0(sK39,X15),sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f870,f854]) ).
fof(f870,plain,
! [X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK39))
| v2_waybel_0(k7_waybel_0(sK39,X15),sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f732]) ).
fof(f982,plain,
( spl73_2
| ~ spl73_6
| spl73_19 ),
inference(avatar_split_clause,[],[f978,f980,f906,f888]) ).
fof(f980,plain,
( spl73_19
<=> ! [X14] :
( ~ m1_subset_1(X14,sF72)
| ~ v1_xboole_0(k7_waybel_0(sK39,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_19])]) ).
fof(f978,plain,
! [X14] :
( ~ m1_subset_1(X14,sF72)
| ~ v1_xboole_0(k7_waybel_0(sK39,X14))
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f869,f854]) ).
fof(f869,plain,
! [X14] :
( ~ m1_subset_1(X14,u1_struct_0(sK39))
| ~ v1_xboole_0(k7_waybel_0(sK39,X14))
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f731]) ).
fof(f977,plain,
( spl73_2
| spl73_18 ),
inference(avatar_split_clause,[],[f973,f975,f888]) ).
fof(f975,plain,
( spl73_18
<=> ! [X13] :
( m1_subset_1(k7_waybel_0(sK39,X13),k1_zfmisc_1(sF72))
| ~ m1_subset_1(X13,sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_18])]) ).
fof(f973,plain,
! [X13] :
( m1_subset_1(k7_waybel_0(sK39,X13),k1_zfmisc_1(sF72))
| ~ m1_subset_1(X13,sF72)
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f972,f854]) ).
fof(f972,plain,
! [X13] :
( ~ m1_subset_1(X13,sF72)
| m1_subset_1(k7_waybel_0(sK39,X13),k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f868,f854]) ).
fof(f868,plain,
! [X13] :
( ~ m1_subset_1(X13,u1_struct_0(sK39))
| m1_subset_1(k7_waybel_0(sK39,X13),k1_zfmisc_1(u1_struct_0(sK39)))
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f729]) ).
fof(f971,plain,
( spl73_2
| spl73_17 ),
inference(avatar_split_clause,[],[f967,f969,f888]) ).
fof(f967,plain,
! [X11,X12] :
( ~ m2_relset_1(X11,u1_struct_0(X12),sF72)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF72)
| ~ v18_waybel_0(X11,X12,sK39)
| ~ v1_funct_1(X11)
| sP26(sK39,X12,X11)
| v3_struct_0(sK39)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_literal_rewriting,[],[f966,f803]) ).
fof(f966,plain,
! [X11,X12] :
( ~ m1_relset_1(X11,u1_struct_0(X12),sF72)
| ~ v1_funct_2(X11,u1_struct_0(X12),sF72)
| ~ v18_waybel_0(X11,X12,sK39)
| ~ v1_funct_1(X11)
| sP26(sK39,X12,X11)
| v3_struct_0(sK39)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_demodulation,[],[f965,f854]) ).
fof(f965,plain,
! [X11,X12] :
( ~ v1_funct_2(X11,u1_struct_0(X12),sF72)
| ~ v18_waybel_0(X11,X12,sK39)
| ~ v1_funct_1(X11)
| ~ m1_relset_1(X11,u1_struct_0(X12),u1_struct_0(sK39))
| sP26(sK39,X12,X11)
| v3_struct_0(sK39)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(forward_demodulation,[],[f867,f854]) ).
fof(f867,plain,
! [X11,X12] :
( ~ v18_waybel_0(X11,X12,sK39)
| ~ v1_funct_2(X11,u1_struct_0(X12),u1_struct_0(sK39))
| ~ v1_funct_1(X11)
| ~ m1_relset_1(X11,u1_struct_0(X12),u1_struct_0(sK39))
| sP26(sK39,X12,X11)
| v3_struct_0(sK39)
| ~ l1_orders_2(X12)
| v3_struct_0(X12) ),
inference(resolution,[],[f503,f712]) ).
fof(f964,plain,
( spl73_2
| spl73_16 ),
inference(avatar_split_clause,[],[f960,f962,f888]) ).
fof(f962,plain,
( spl73_16
<=> ! [X9,X10] :
( ~ m2_relset_1(X9,u1_struct_0(X10),sF72)
| v3_struct_0(X10)
| ~ l1_orders_2(X10)
| sP25(sK39,X10,X9)
| ~ v1_funct_1(X9)
| ~ v17_waybel_0(X9,X10,sK39)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_16])]) ).
fof(f960,plain,
! [X10,X9] :
( ~ m2_relset_1(X9,u1_struct_0(X10),sF72)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF72)
| ~ v17_waybel_0(X9,X10,sK39)
| ~ v1_funct_1(X9)
| sP25(sK39,X10,X9)
| v3_struct_0(sK39)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_literal_rewriting,[],[f959,f803]) ).
fof(f959,plain,
! [X10,X9] :
( ~ m1_relset_1(X9,u1_struct_0(X10),sF72)
| ~ v1_funct_2(X9,u1_struct_0(X10),sF72)
| ~ v17_waybel_0(X9,X10,sK39)
| ~ v1_funct_1(X9)
| sP25(sK39,X10,X9)
| v3_struct_0(sK39)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_demodulation,[],[f958,f854]) ).
fof(f958,plain,
! [X10,X9] :
( ~ v1_funct_2(X9,u1_struct_0(X10),sF72)
| ~ v17_waybel_0(X9,X10,sK39)
| ~ v1_funct_1(X9)
| ~ m1_relset_1(X9,u1_struct_0(X10),u1_struct_0(sK39))
| sP25(sK39,X10,X9)
| v3_struct_0(sK39)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(forward_demodulation,[],[f866,f854]) ).
fof(f866,plain,
! [X10,X9] :
( ~ v17_waybel_0(X9,X10,sK39)
| ~ v1_funct_2(X9,u1_struct_0(X10),u1_struct_0(sK39))
| ~ v1_funct_1(X9)
| ~ m1_relset_1(X9,u1_struct_0(X10),u1_struct_0(sK39))
| sP25(sK39,X10,X9)
| v3_struct_0(sK39)
| ~ l1_orders_2(X10)
| v3_struct_0(X10) ),
inference(resolution,[],[f503,f708]) ).
fof(f956,plain,
( ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| ~ spl73_13
| ~ spl73_14
| ~ spl73_3
| spl73_15 ),
inference(avatar_split_clause,[],[f944,f954,f892,f950,f946,f934,f921,f906]) ).
fof(f954,plain,
( spl73_15
<=> ! [X6,X5,X7] :
( ~ v1_funct_2(X6,u1_struct_0(X5),sF72)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v1_funct_1(X6)
| ~ v3_lattice3(X5)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v1_funct_1(X7)
| ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ m2_relset_1(X7,sF72,u1_struct_0(X5))
| ~ v1_funct_2(X7,sF72,u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X5),sF72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_15])]) ).
fof(f944,plain,
! [X6,X7,X5] :
( ~ v1_funct_2(X6,u1_struct_0(X5),sF72)
| ~ m2_relset_1(X6,u1_struct_0(X5),sF72)
| ~ v1_funct_2(X7,sF72,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF72,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X5)
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f943,f854]) ).
fof(f943,plain,
! [X6,X7,X5] :
( ~ m2_relset_1(X6,u1_struct_0(X5),sF72)
| ~ v1_funct_2(X7,sF72,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF72,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X5)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f942,f854]) ).
fof(f942,plain,
! [X6,X7,X5] :
( ~ v1_funct_2(X7,sF72,u1_struct_0(X5))
| ~ m2_relset_1(X7,sF72,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f941,f854]) ).
fof(f941,plain,
! [X6,X7,X5] :
( ~ m2_relset_1(X7,sF72,u1_struct_0(X5))
| ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ v1_funct_2(X7,u1_struct_0(sK39),u1_struct_0(X5))
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(forward_demodulation,[],[f864,f854]) ).
fof(f864,plain,
! [X6,X7,X5] :
( ~ v3_waybel_1(k1_waybel_1(X5,sK39,X6,X7),X5,sK39)
| ~ m2_relset_1(X7,u1_struct_0(sK39),u1_struct_0(X5))
| ~ v1_funct_2(X7,u1_struct_0(sK39),u1_struct_0(X5))
| ~ v1_funct_1(X7)
| ~ v17_waybel_0(X6,X5,sK39)
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(X5)
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(sK39))
| ~ v1_funct_1(X6)
| k1_waybel34(X5,sK39,X6) = X7
| ~ v2_lattice3(sK39)
| ~ v1_lattice3(sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ l1_orders_2(X5)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X5) ),
inference(resolution,[],[f503,f690]) ).
fof(f940,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_9
| ~ spl73_11
| spl73_12 ),
inference(avatar_split_clause,[],[f932,f938,f934,f921,f906,f888]) ).
fof(f932,plain,
! [X2,X3,X4] :
( ~ v1_funct_2(X4,u1_struct_0(X3),sF72)
| ~ m2_relset_1(X4,u1_struct_0(X3),sF72)
| ~ v1_funct_2(X2,sF72,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f931,f854]) ).
fof(f931,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X4,u1_struct_0(X3),sF72)
| ~ v1_funct_2(X2,sF72,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f930,f854]) ).
fof(f930,plain,
! [X2,X3,X4] :
( ~ v1_funct_2(X2,sF72,u1_struct_0(X3))
| ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f929,f854]) ).
fof(f929,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X2,sF72,u1_struct_0(X3))
| ~ v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(forward_demodulation,[],[f863,f854]) ).
fof(f863,plain,
! [X2,X3,X4] :
( ~ m2_relset_1(X2,u1_struct_0(sK39),u1_struct_0(X3))
| ~ v1_funct_2(X2,u1_struct_0(sK39),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(sK39))
| ~ v1_funct_1(X4)
| sP24(X2,X3,X4,sK39)
| ~ v4_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| v3_struct_0(X3) ),
inference(resolution,[],[f503,f686]) ).
fof(f928,plain,
( spl73_2
| ~ spl73_6
| ~ spl73_9
| spl73_10 ),
inference(avatar_split_clause,[],[f862,f925,f921,f906,f888]) ).
fof(f862,plain,
( sP22(sK39)
| ~ v3_orders_2(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f679]) ).
fof(f919,plain,
( spl73_2
| spl73_8 ),
inference(avatar_split_clause,[],[f915,f917,f888]) ).
fof(f915,plain,
! [X1] :
( ~ m1_subset_1(X1,sF72)
| sP21(X1,sK39)
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f861,f854]) ).
fof(f861,plain,
! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK39))
| sP21(X1,sK39)
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f675]) ).
fof(f914,plain,
( spl73_2
| spl73_7 ),
inference(avatar_split_clause,[],[f910,f912,f888]) ).
fof(f910,plain,
! [X0] :
( ~ m1_subset_1(X0,sF72)
| k7_waybel_0(sK39,X0) = k5_waybel_0(sK39,k1_struct_0(sK39,X0))
| v3_struct_0(sK39) ),
inference(forward_demodulation,[],[f860,f854]) ).
fof(f860,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK39))
| k7_waybel_0(sK39,X0) = k5_waybel_0(sK39,k1_struct_0(sK39,X0))
| v3_struct_0(sK39) ),
inference(resolution,[],[f503,f668]) ).
fof(f909,plain,
( spl73_5
| spl73_2
| ~ spl73_6
| ~ spl73_3 ),
inference(avatar_split_clause,[],[f859,f892,f906,f888,f902]) ).
fof(f859,plain,
( ~ v3_lattice3(sK39)
| ~ v2_orders_2(sK39)
| v3_struct_0(sK39)
| sP7(sK39) ),
inference(resolution,[],[f503,f571]) ).
fof(f900,plain,
( spl73_4
| spl73_2
| ~ spl73_3 ),
inference(avatar_split_clause,[],[f858,f892,f888,f897]) ).
fof(f897,plain,
( spl73_4
<=> sP5(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_4])]) ).
fof(f858,plain,
( ~ v3_lattice3(sK39)
| v3_struct_0(sK39)
| sP5(sK39) ),
inference(resolution,[],[f503,f562]) ).
fof(f895,plain,
( spl73_1
| spl73_2
| ~ spl73_3 ),
inference(avatar_split_clause,[],[f857,f892,f888,f884]) ).
fof(f857,plain,
( ~ v3_lattice3(sK39)
| v3_struct_0(sK39)
| v3_yellow_0(sK39) ),
inference(resolution,[],[f503,f558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 10:05:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.i33Lamu8mz/Vampire---4.8_8903
% 0.15/0.37 % (9046)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (9050)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.20/0.43 % (9051)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.43 % (9049)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.20/0.43 % (9048)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.43 % (9047)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.20/0.43 % (9053)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.43 % (9052)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.20/0.44 % (9053)Refutation not found, incomplete strategy% (9053)------------------------------
% 0.20/0.44 % (9053)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.44 % (9053)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.44 % (9053)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44 % (9053)Memory used [KB]: 6140
% 0.20/0.44 % (9053)Time elapsed: 0.014 s
% 0.20/0.44 % (9053)------------------------------
% 0.20/0.44 % (9053)------------------------------
% 0.20/0.49 % (9054)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.20/0.53 % (9047)First to succeed.
% 0.20/0.55 % (9050)Also succeeded, but the first one will report.
% 0.20/0.55 % (9047)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for Vampire---4
% 0.20/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.57 % (9047)------------------------------
% 0.20/0.57 % (9047)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.57 % (9047)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.57 % (9047)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (9047)Memory used [KB]: 10234
% 0.20/0.57 % (9047)Time elapsed: 0.122 s
% 0.20/0.57 % (9047)------------------------------
% 0.20/0.57 % (9047)------------------------------
% 0.20/0.57 % (9046)Success in time 0.201 s
% 0.20/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------