TSTP Solution File: GEO499+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue Apr 30 11:16:37 EDT 2024
% Result : Theorem 43.11s 6.50s
% Output : Refutation 43.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1294
% Syntax : Number of formulae : 4172 ( 213 unt; 0 def)
% Number of atoms : 15684 (1200 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 20446 (8934 ~;10224 |; 102 &)
% (1185 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 1198 (1196 usr;1186 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-6 aty)
% Number of variables : 10110 (10102 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44994,plain,
$false,
inference(avatar_sat_refutation,[],[f415,f420,f425,f430,f435,f440,f445,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f511,f515,f519,f523,f527,f538,f542,f546,f550,f554,f558,f562,f566,f570,f574,f578,f582,f586,f592,f596,f600,f604,f608,f624,f663,f667,f671,f675,f679,f691,f699,f703,f707,f711,f715,f719,f723,f728,f762,f766,f770,f774,f779,f800,f804,f808,f812,f816,f820,f829,f833,f837,f841,f845,f849,f853,f857,f861,f916,f920,f924,f928,f932,f936,f941,f945,f949,f953,f957,f961,f965,f969,f985,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1051,f1055,f1059,f1063,f1067,f1071,f1075,f1147,f1151,f1155,f1159,f1163,f1167,f1171,f1175,f1179,f1225,f1229,f1233,f1237,f1258,f1262,f1266,f1270,f1274,f1278,f1333,f1337,f1341,f1345,f1349,f1377,f1381,f1385,f1389,f1438,f1442,f1457,f1461,f1465,f1469,f1473,f1506,f1510,f1514,f1518,f1522,f1604,f1608,f1612,f1616,f1639,f1657,f1661,f1677,f1690,f1701,f1710,f1722,f1732,f1744,f1748,f1783,f1803,f1809,f1818,f1858,f1864,f1890,f1894,f1898,f1903,f1914,f1930,f1952,f1956,f2025,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2059,f2063,f2067,f2071,f2162,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2224,f2267,f2271,f2275,f2279,f2283,f2287,f2291,f2295,f2299,f2303,f2373,f2640,f2644,f2648,f2652,f2656,f2660,f2668,f2754,f2758,f2762,f2766,f2770,f2774,f2778,f2782,f2786,f2790,f2794,f2798,f2965,f2978,f2982,f2986,f2990,f2994,f2998,f3251,f3255,f3259,f3263,f3267,f3271,f3275,f3280,f3284,f3288,f3292,f3404,f3408,f3412,f3416,f3420,f3424,f3428,f3432,f3436,f3440,f3444,f3448,f3452,f3456,f3460,f3464,f3468,f3473,f3532,f3537,f3544,f3548,f3552,f3556,f3560,f3565,f3576,f3580,f3967,f4187,f4191,f4195,f4199,f4203,f4207,f4211,f4215,f4219,f4223,f4227,f4231,f4242,f4473,f4575,f4579,f4583,f4587,f4591,f4595,f4600,f4604,f4608,f4613,f4618,f4622,f4765,f4769,f4892,f4896,f4905,f4909,f4913,f4917,f4921,f4925,f4929,f4933,f4937,f4941,f4946,f4950,f4954,f4958,f4962,f4966,f5236,f5295,f5299,f5303,f5307,f5311,f5315,f5319,f5323,f5327,f5331,f5335,f5339,f5343,f5347,f5351,f5355,f5359,f5363,f5370,f5374,f5378,f5382,f5386,f5390,f5394,f5398,f5402,f5425,f5897,f6052,f6056,f6060,f6064,f6068,f6072,f6076,f6080,f6084,f6338,f6342,f6346,f6350,f6354,f6358,f6363,f6367,f6371,f6375,f6379,f6383,f6387,f6660,f6664,f6668,f6672,f6676,f6680,f6684,f6688,f6692,f6696,f6700,f6704,f6708,f6724,f6728,f6732,f6736,f6897,f7268,f7272,f7276,f7280,f7284,f7288,f7292,f7296,f7300,f7304,f7308,f7312,f7316,f7320,f7324,f7328,f7332,f7336,f7340,f7369,f7590,f7762,f7766,f7770,f7774,f7778,f7782,f7786,f8104,f8108,f8112,f8144,f8148,f8152,f8156,f8160,f8164,f8168,f8172,f8176,f8180,f8184,f8188,f8657,f8763,f8767,f8771,f8775,f8779,f8783,f8787,f8791,f8795,f8799,f8803,f8807,f8811,f8815,f8819,f8823,f8827,f8831,f8835,f8839,f8843,f9090,f9380,f9429,f9433,f9437,f9441,f9445,f9449,f9453,f9478,f9650,f9654,f9658,f9662,f9666,f9670,f9674,f9678,f9682,f9686,f9784,f10058,f10062,f10066,f10070,f10074,f10078,f10082,f10086,f10247,f10251,f10255,f10259,f10263,f10267,f10271,f10275,f10611,f10656,f10660,f10664,f10668,f10672,f10676,f10680,f10684,f10688,f10692,f10696,f10700,f10704,f10708,f10856,f11049,f11053,f11057,f11061,f11065,f11176,f11180,f11184,f11188,f11192,f11196,f11200,f11204,f11586,f11590,f11594,f11598,f11602,f11606,f11610,f11685,f11714,f11718,f11722,f11726,f11730,f11734,f11738,f11763,f11960,f11964,f11968,f11972,f12033,f12037,f12504,f12508,f12513,f12517,f12521,f12525,f12529,f12769,f12804,f12808,f12812,f12816,f12899,f12903,f12907,f13027,f13049,f13059,f13063,f13157,f13161,f13281,f13347,f13351,f13488,f13872,f14871,f14875,f14879,f14883,f14888,f14892,f15063,f15076,f15081,f15085,f15089,f15093,f15348,f15400,f15422,f15426,f15460,f15536,f15542,f15549,f15553,f15554,f15558,f15564,f15569,f15576,f15580,f15586,f15687,f15739,f15874,f15899,f15905,f15909,f15915,f15920,f15926,f15932,f15938,f15952,f15956,f15960,f15963,f15967,f15973,f15978,f15983,f15989,f15995,f16000,f16006,f16011,f16043,f16048,f16054,f16060,f16065,f16071,f16078,f16084,f16090,f16096,f16101,f16106,f16112,f16116,f16120,f16124,f16257,f16277,f16283,f16289,f16294,f16299,f16305,f16310,f16316,f16322,f16328,f16332,f16337,f16342,f16351,f16358,f16363,f16413,f16426,f16435,f16440,f16449,f16459,f16463,f16468,f16472,f16476,f16480,f16484,f16488,f16492,f16496,f16500,f16889,f16894,f16899,f16904,f16909,f16914,f16919,f16924,f16929,f16933,f16951,f16956,f16961,f16966,f16971,f16975,f16979,f16985,f17007,f17025,f17031,f17037,f17042,f17047,f17052,f17057,f17061,f17065,f17069,f17073,f17077,f17081,f17085,f17089,f17093,f17097,f17101,f17105,f17127,f17765,f17800,f17805,f17810,f17815,f17820,f17825,f17830,f17837,f17844,f17848,f17854,f17860,f17865,f17870,f17875,f17880,f17885,f17890,f17896,f17903,f17909,f17955,f17961,f17967,f17972,f17977,f17981,f17985,f17989,f18019,f18023,f18027,f18031,f18035,f18039,f18043,f18047,f18051,f18055,f18060,f18064,f18068,f18072,f18076,f18080,f18084,f18088,f18092,f18096,f18100,f18105,f18132,f18136,f18140,f18144,f18485,f19605,f19611,f19617,f19623,f19629,f19634,f19639,f19645,f19654,f19667,f19678,f19692,f19706,f19720,f19734,f19745,f19754,f19758,f19763,f19781,f19785,f19789,f19793,f19797,f19801,f19805,f20372,f20378,f20384,f20390,f20405,f20411,f20417,f20422,f20427,f20432,f20437,f20441,f20447,f20453,f20462,f20474,f20478,f20482,f20486,f20490,f20494,f20498,f20502,f20506,f20511,f20517,f20521,f20525,f20529,f20533,f20537,f20541,f20545,f20549,f20553,f20557,f20561,f20565,f20569,f21077,f21459,f21463,f21469,f21474,f21502,f21506,f21512,f21518,f21524,f21530,f21536,f21542,f21548,f21555,f21559,f21564,f21569,f21574,f21579,f21584,f21589,f21594,f21599,f21606,f21614,f21619,f21626,f21633,f21639,f21645,f21651,f21657,f21665,f21671,f21677,f21687,f21693,f21699,f21706,f21711,f21716,f21721,f21726,f21731,f21736,f21742,f21746,f21751,f21755,f21759,f21763,f21767,f21771,f21775,f21779,f21783,f21788,f21792,f21796,f21800,f21804,f21808,f21812,f21816,f21820,f21824,f21828,f21833,f21837,f21841,f21845,f21849,f21853,f21857,f21861,f21865,f21869,f21873,f21886,f21890,f21894,f21898,f21902,f21906,f21910,f21914,f21918,f21922,f21935,f21939,f21943,f21947,f21951,f21955,f21959,f21963,f21967,f21971,f21989,f21993,f21997,f22001,f23392,f23752,f25193,f25201,f25208,f25212,f25218,f25225,f25232,f25236,f25240,f25244,f25248,f25252,f25256,f25261,f25265,f25269,f25273,f25277,f25281,f25285,f25289,f25293,f25297,f25301,f25307,f25311,f25315,f25319,f25323,f25327,f25331,f25335,f25339,f25343,f25349,f25353,f25357,f25361,f25365,f25369,f25373,f25377,f25381,f25385,f25391,f25395,f25399,f25403,f25407,f25411,f25415,f25419,f25423,f25427,f25433,f25437,f25441,f25445,f25449,f25453,f25457,f25461,f25465,f25469,f25474,f25478,f25482,f25486,f25490,f25786,f26065,f26078,f26084,f26329,f26493,f26507,f26511,f26516,f27426,f27860,f28098,f28102,f28107,f28165,f28172,f29107,f30048,f30495,f30499,f30533,f30585,f30652,f30686,f30732,f31046,f31264,f31298,f32231,f32272,f32353,f32357,f32361,f32758,f32762,f32766,f33496,f33500,f33504,f33853,f34173,f34180,f34262,f34529,f36371,f36851,f37342,f38403,f38441,f38445,f38450,f38616,f38620,f38633,f38637,f38641,f38645,f38649,f38653,f38697,f38744,f38749,f38753,f38757,f38761,f39273,f39277,f39281,f39285,f39289,f39293,f39298,f39569,f39573,f39577,f39620,f39708,f39712,f39716,f39720,f39724,f39728,f39732,f39736,f39741,f39745,f39749,f39753,f39757,f39761,f39765,f39769,f39773,f39777,f39781,f39782,f39786,f39790,f39794,f39798,f39802,f39806,f39810,f39814,f39818,f39822,f39826,f39830,f39834,f39838,f39842,f39846,f39850,f39854,f39858,f39862,f39868,f39872,f39876,f39880,f39884,f39888,f39892,f39896,f39900,f39904,f39909,f39913,f39917,f39921,f39925,f39929,f39933,f39937,f39941,f39945,f39949,f39954,f39958,f39962,f39966,f39970,f39974,f39978,f39982,f39986,f39990,f39994,f40012,f40016,f40020,f40024,f40028,f40032,f40036,f40040,f40044,f40048,f40066,f40070,f40074,f40078,f40082,f40086,f40090,f40094,f40098,f40102,f40120,f40124,f40128,f40132,f40136,f40140,f40144,f40148,f40153,f43273,f44993]) ).
fof(f44993,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_24
| ~ spl4_1142 ),
inference(avatar_split_clause,[],[f44085,f39935,f513,f417,f412]) ).
fof(f412,plain,
( spl4_1
<=> s_t(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f417,plain,
( spl4_2
<=> s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f513,plain,
( spl4_24
<=> ! [X0,X1] : s(X0,s(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f39935,plain,
( spl4_1142
<=> ! [X0,X3,X2,X1] :
( s_t(X2,X1,s(X0,X3))
| ~ s_t(s(X0,X2),s(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1142])]) ).
fof(f44085,plain,
( s_t(sK0,sK1,sK2)
| ~ spl4_2
| ~ spl4_24
| ~ spl4_1142 ),
inference(forward_demodulation,[],[f43966,f514]) ).
fof(f514,plain,
( ! [X0,X1] : s(X0,s(X0,X1)) = X1
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f43966,plain,
( s_t(sK0,sK1,s(sK3,s(sK3,sK2)))
| ~ spl4_2
| ~ spl4_1142 ),
inference(resolution,[],[f39936,f419]) ).
fof(f419,plain,
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f39936,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(X0,X2),s(X0,X1),X3)
| s_t(X2,X1,s(X0,X3)) )
| ~ spl4_1142 ),
inference(avatar_component_clause,[],[f39935]) ).
fof(f43273,plain,
( spl4_865
| ~ spl4_38
| ~ spl4_1094 ),
inference(avatar_split_clause,[],[f41715,f39738,f576,f21611]) ).
fof(f21611,plain,
( spl4_865
<=> s_col(sK1,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_865])]) ).
fof(f576,plain,
( spl4_38
<=> ! [X2,X0,X1] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f39738,plain,
( spl4_1094
<=> s_col(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1094])]) ).
fof(f41715,plain,
( s_col(sK1,sK3,sK0)
| ~ spl4_38
| ~ spl4_1094 ),
inference(resolution,[],[f39740,f577]) ).
fof(f577,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X1,X2,X0) )
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f39740,plain,
( s_col(sK0,sK1,sK3)
| ~ spl4_1094 ),
inference(avatar_component_clause,[],[f39738]) ).
fof(f40153,plain,
( spl4_1185
| ~ spl4_177
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f6495,f6365,f1862,f40151]) ).
fof(f40151,plain,
( spl4_1185
<=> ! [X2,X0,X1] :
( s_t(s(X0,X1),X0,s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1185])]) ).
fof(f1862,plain,
( spl4_177
<=> ! [X0,X1] : s_t(X0,X1,s(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_177])]) ).
fof(f6365,plain,
( spl4_377
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),X4,s(X3,X2))
| ~ s_t(s(X3,X0),X4,s(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_377])]) ).
fof(f6495,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X1),X0,s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2) )
| ~ spl4_177
| ~ spl4_377 ),
inference(resolution,[],[f6366,f1863]) ).
fof(f1863,plain,
( ! [X0,X1] : s_t(X0,X1,s(X1,X0))
| ~ spl4_177 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f6366,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X3,X0),X4,s(X3,X1))
| s_t(s(X3,X0),X4,s(X3,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_377 ),
inference(avatar_component_clause,[],[f6365]) ).
fof(f40148,plain,
( spl4_1184
| ~ spl4_256
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6315,f6082,f3410,f40146]) ).
fof(f40146,plain,
( spl4_1184
<=> ! [X0,X1] :
( sameside(X1,X0,ins(X0,X1,X0,X1))
| X0 = X1
| xb = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1184])]) ).
fof(f3410,plain,
( spl4_256
<=> ! [X0,X3,X2,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,ext(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_256])]) ).
fof(f6082,plain,
( spl4_369
<=> ! [X0,X1] : ins(X0,X1,X0,X1) = ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_369])]) ).
fof(f6315,plain,
( ! [X0,X1] :
( sameside(X1,X0,ins(X0,X1,X0,X1))
| X0 = X1
| xb = X0 )
| ~ spl4_256
| ~ spl4_369 ),
inference(superposition,[],[f3411,f6083]) ).
fof(f6083,plain,
( ! [X0,X1] : ins(X0,X1,X0,X1) = ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1)
| ~ spl4_369 ),
inference(avatar_component_clause,[],[f6082]) ).
fof(f3411,plain,
( ! [X2,X3,X0,X1] :
( sameside(X1,X0,ext(X0,X1,X2,X3))
| X0 = X1
| xb = X0 )
| ~ spl4_256 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f40144,plain,
( spl4_1183
| ~ spl4_313
| ~ spl4_335 ),
inference(avatar_split_clause,[],[f5484,f5309,f4903,f40142]) ).
fof(f40142,plain,
( spl4_1183
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1183])]) ).
fof(f4903,plain,
( spl4_313
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ~ s_t(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_313])]) ).
fof(f5309,plain,
( spl4_335
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,ins(X2,X3,X0,X4))
| le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_335])]) ).
fof(f5484,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4) )
| ~ spl4_313
| ~ spl4_335 ),
inference(duplicate_literal_removal,[],[f5470]) ).
fof(f5470,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4) )
| ~ spl4_313
| ~ spl4_335 ),
inference(resolution,[],[f5310,f4904]) ).
fof(f4904,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1) )
| ~ spl4_313 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f5310,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ins(X2,X3,X0,X4))
| le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3) )
| ~ spl4_335 ),
inference(avatar_component_clause,[],[f5309]) ).
fof(f40140,plain,
( spl4_1182
| ~ spl4_11
| ~ spl4_335 ),
inference(avatar_split_clause,[],[f5472,f5309,f460,f40138]) ).
fof(f40138,plain,
( spl4_1182
<=> ! [X0,X3,X2,X1] :
( le(X0,ins(X1,X2,X0,X3),X1,X2)
| ~ le(X0,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1182])]) ).
fof(f460,plain,
( spl4_11
<=> ! [X0,X1] : s_t(X0,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f5472,plain,
( ! [X2,X3,X0,X1] :
( le(X0,ins(X1,X2,X0,X3),X1,X2)
| ~ le(X0,X3,X1,X2) )
| ~ spl4_11
| ~ spl4_335 ),
inference(resolution,[],[f5310,f461]) ).
fof(f461,plain,
( ! [X0,X1] : s_t(X0,X1,X1)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f40136,plain,
( spl4_1181
| ~ spl4_208
| ~ spl4_295 ),
inference(avatar_split_clause,[],[f4555,f4240,f2273,f40134]) ).
fof(f40134,plain,
( spl4_1181
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X5,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1181])]) ).
fof(f2273,plain,
( spl4_208
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X0)
| ~ s_m(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_208])]) ).
fof(f4240,plain,
( spl4_295
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X4,X5,X6)
| le(X5,X6,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_295])]) ).
fof(f4555,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X5,X5,X4) )
| ~ spl4_208
| ~ spl4_295 ),
inference(resolution,[],[f4241,f2274]) ).
fof(f2274,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X0)
| ~ s_m(X1,X0,X2) )
| ~ spl4_208 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f4241,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_e(X4,X4,X5,X6)
| ~ s_e(X0,X1,X2,X3)
| le(X5,X6,X2,X3) )
| ~ spl4_295 ),
inference(avatar_component_clause,[],[f4240]) ).
fof(f40132,plain,
( spl4_1180
| ~ spl4_49
| ~ spl4_295 ),
inference(avatar_split_clause,[],[f4551,f4240,f669,f40130]) ).
fof(f40130,plain,
( spl4_1180
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1180])]) ).
fof(f669,plain,
( spl4_49
<=> ! [X2,X0,X1] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f4551,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X4,X4,X5) )
| ~ spl4_49
| ~ spl4_295 ),
inference(resolution,[],[f4241,f670]) ).
fof(f670,plain,
( ! [X2,X0,X1] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) )
| ~ spl4_49 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f40128,plain,
( spl4_1179
| ~ spl4_202
| ~ spl4_295 ),
inference(avatar_split_clause,[],[f4550,f4240,f2208,f40126]) ).
fof(f40126,plain,
( spl4_1179
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X5,X4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1179])]) ).
fof(f2208,plain,
( spl4_202
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_202])]) ).
fof(f4550,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3)
| ~ s_m(X5,X4,X4) )
| ~ spl4_202
| ~ spl4_295 ),
inference(resolution,[],[f4241,f2209]) ).
fof(f2209,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X0,X1) )
| ~ spl4_202 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f40124,plain,
( spl4_1178
| ~ spl4_203
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4547,f4229,f2212,f40122]) ).
fof(f40122,plain,
( spl4_1178
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(s(X0,X1),s(X0,X2),X3,X4)
| le(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1178])]) ).
fof(f2212,plain,
( spl4_203
<=> ! [X2,X0,X1] : s_e(s(X0,X1),s(X0,X2),X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_203])]) ).
fof(f4229,plain,
( spl4_294
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| le(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_294])]) ).
fof(f4547,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(s(X0,X1),s(X0,X2),X3,X4)
| le(X1,X2,X3,X4) )
| ~ spl4_203
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2213]) ).
fof(f2213,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),s(X0,X2),X1,X2)
| ~ spl4_203 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f4230,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3)
| le(X4,X5,X2,X3) )
| ~ spl4_294 ),
inference(avatar_component_clause,[],[f4229]) ).
fof(f40120,plain,
( spl4_1177
| ~ spl4_200
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4546,f4229,f2200,f40118]) ).
fof(f40118,plain,
( spl4_1177
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(s(X0,X1),X2,X3,X4)
| le(X1,s(X0,X2),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1177])]) ).
fof(f2200,plain,
( spl4_200
<=> ! [X2,X0,X1] : s_e(s(X0,X1),X2,X1,s(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_200])]) ).
fof(f4546,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(s(X0,X1),X2,X3,X4)
| le(X1,s(X0,X2),X3,X4) )
| ~ spl4_200
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2201]) ).
fof(f2201,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),X2,X1,s(X0,X2))
| ~ spl4_200 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f40102,plain,
( spl4_1176
| ~ spl4_211
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4543,f4229,f2285,f40100]) ).
fof(f40100,plain,
( spl4_1176
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5)
| le(X3,X2,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1176])]) ).
fof(f2285,plain,
( spl4_211
<=> ! [X2,X0,X1,X3] : s_e(ext(X0,X1,X2,X3),X1,X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_211])]) ).
fof(f4543,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5)
| le(X3,X2,X4,X5) )
| ~ spl4_211
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2286]) ).
fof(f2286,plain,
( ! [X2,X3,X0,X1] : s_e(ext(X0,X1,X2,X3),X1,X3,X2)
| ~ spl4_211 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f40098,plain,
( spl4_1175
| ~ spl4_207
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4542,f4229,f2269,f40096]) ).
fof(f40096,plain,
( spl4_1175
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5)
| le(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1175])]) ).
fof(f2269,plain,
( spl4_207
<=> ! [X2,X0,X1,X3] : s_e(ext(X0,X1,X2,X3),X1,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_207])]) ).
fof(f4542,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5)
| le(X2,X3,X4,X5) )
| ~ spl4_207
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2270]) ).
fof(f2270,plain,
( ! [X2,X3,X0,X1] : s_e(ext(X0,X1,X2,X3),X1,X2,X3)
| ~ spl4_207 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f40094,plain,
( spl4_1174
| ~ spl4_201
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4541,f4229,f2204,f40092]) ).
fof(f40092,plain,
( spl4_1174
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,s(X1,X2),X3,X4)
| le(s(X1,X0),X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1174])]) ).
fof(f2204,plain,
( spl4_201
<=> ! [X2,X0,X1] : s_e(X2,s(X0,X1),s(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_201])]) ).
fof(f4541,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,s(X1,X2),X3,X4)
| le(s(X1,X0),X2,X3,X4) )
| ~ spl4_201
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2205]) ).
fof(f2205,plain,
( ! [X2,X0,X1] : s_e(X2,s(X0,X1),s(X0,X2),X1)
| ~ spl4_201 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f40090,plain,
( spl4_1173
| ~ spl4_209
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4538,f4229,f2277,f40088]) ).
fof(f40088,plain,
( spl4_1173
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5)
| le(X3,X2,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1173])]) ).
fof(f2277,plain,
( spl4_209
<=> ! [X0,X3,X2,X1] : s_e(X0,ext(X1,X0,X2,X3),X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_209])]) ).
fof(f4538,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5)
| le(X3,X2,X4,X5) )
| ~ spl4_209
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2278]) ).
fof(f2278,plain,
( ! [X2,X3,X0,X1] : s_e(X0,ext(X1,X0,X2,X3),X3,X2)
| ~ spl4_209 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f40086,plain,
( spl4_1172
| ~ spl4_51
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4537,f4229,f677,f40084]) ).
fof(f40084,plain,
( spl4_1172
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5)
| le(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1172])]) ).
fof(f677,plain,
( spl4_51
<=> ! [X0,X3,X2,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f4537,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5)
| le(X2,X3,X4,X5) )
| ~ spl4_51
| ~ spl4_294 ),
inference(resolution,[],[f4230,f678]) ).
fof(f678,plain,
( ! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3)
| ~ spl4_51 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f40082,plain,
( spl4_1171
| ~ spl4_206
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4534,f4229,f2265,f40080]) ).
fof(f40080,plain,
( spl4_1171
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X4,X1),s(X4,X0),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1171])]) ).
fof(f2265,plain,
( spl4_206
<=> ! [X2,X0,X1] : s_e(X0,X1,s(X2,X1),s(X2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_206])]) ).
fof(f4534,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X4,X1),s(X4,X0),X2,X3) )
| ~ spl4_206
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2266]) ).
fof(f2266,plain,
( ! [X2,X0,X1] : s_e(X0,X1,s(X2,X1),s(X2,X0))
| ~ spl4_206 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f40078,plain,
( spl4_1170
| ~ spl4_48
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4532,f4229,f665,f40076]) ).
fof(f40076,plain,
( spl4_1170
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X4,X0),s(X4,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1170])]) ).
fof(f665,plain,
( spl4_48
<=> ! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f4532,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X4,X0),s(X4,X1),X2,X3) )
| ~ spl4_48
| ~ spl4_294 ),
inference(resolution,[],[f4230,f666]) ).
fof(f666,plain,
( ! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1))
| ~ spl4_48 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f40074,plain,
( spl4_1169
| ~ spl4_204
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4530,f4229,f2216,f40072]) ).
fof(f40072,plain,
( spl4_1169
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,ext(X5,X4,X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1169])]) ).
fof(f2216,plain,
( spl4_204
<=> ! [X0,X3,X2,X1] : s_e(X0,X1,X2,ext(X3,X2,X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_204])]) ).
fof(f4530,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,ext(X5,X4,X0,X1),X2,X3) )
| ~ spl4_204
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2217]) ).
fof(f2217,plain,
( ! [X2,X3,X0,X1] : s_e(X0,X1,X2,ext(X3,X2,X0,X1))
| ~ spl4_204 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f40070,plain,
( spl4_1168
| ~ spl4_210
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4529,f4229,f2281,f40068]) ).
fof(f40068,plain,
( spl4_1168
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X1,X2,X3)
| ~ s_m(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1168])]) ).
fof(f2281,plain,
( spl4_210
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_210])]) ).
fof(f4529,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X1,X2,X3)
| ~ s_m(X0,X1,X4) )
| ~ spl4_210
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2282]) ).
fof(f2282,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_m(X0,X1,X2) )
| ~ spl4_210 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f40066,plain,
( spl4_1167
| ~ spl4_208
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4528,f4229,f2273,f40064]) ).
fof(f40064,plain,
( spl4_1167
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X0,X2,X3)
| ~ s_m(X1,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1167])]) ).
fof(f4528,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(X4,X0,X2,X3)
| ~ s_m(X1,X0,X4) )
| ~ spl4_208
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2274]) ).
fof(f40048,plain,
( spl4_1166
| ~ spl4_205
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4527,f4229,f2220,f40046]) ).
fof(f40046,plain,
( spl4_1166
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X1,X4,X2,X3)
| ~ s_m(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1166])]) ).
fof(f2220,plain,
( spl4_205
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_205])]) ).
fof(f4527,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(X1,X4,X2,X3)
| ~ s_m(X0,X1,X4) )
| ~ spl4_205
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2221]) ).
fof(f2221,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X0,X1,X2) )
| ~ spl4_205 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f40044,plain,
( spl4_1165
| ~ spl4_49
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4524,f4229,f669,f40042]) ).
fof(f40042,plain,
( spl4_1165
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X4,X2,X3)
| ~ s_m(X1,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1165])]) ).
fof(f4524,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X4,X2,X3)
| ~ s_m(X1,X0,X4) )
| ~ spl4_49
| ~ spl4_294 ),
inference(resolution,[],[f4230,f670]) ).
fof(f40040,plain,
( spl4_1164
| ~ spl4_202
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4523,f4229,f2208,f40038]) ).
fof(f40038,plain,
( spl4_1164
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X4,X2,X3)
| ~ s_m(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1164])]) ).
fof(f4523,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X4,X2,X3)
| ~ s_m(X4,X0,X1) )
| ~ spl4_202
| ~ spl4_294 ),
inference(resolution,[],[f4230,f2209]) ).
fof(f40036,plain,
( spl4_1163
| ~ spl4_215
| ~ spl4_293 ),
inference(avatar_split_clause,[],[f4517,f4225,f2301,f40034]) ).
fof(f40034,plain,
( spl4_1163
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| le(X2,X3,X4,X0)
| ~ s_t(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1163])]) ).
fof(f2301,plain,
( spl4_215
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_215])]) ).
fof(f4225,plain,
( spl4_293
<=> ! [X5,X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X5)
| le(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_293])]) ).
fof(f4517,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| le(X2,X3,X4,X0)
| ~ s_t(X0,X1,X4) )
| ~ spl4_215
| ~ spl4_293 ),
inference(resolution,[],[f4226,f2302]) ).
fof(f2302,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X2,X0)
| ~ s_t(X0,X1,X2) )
| ~ spl4_215 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f4226,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ le(X0,X1,X4,X5)
| le(X0,X1,X2,X3)
| le(X2,X3,X4,X5) )
| ~ spl4_293 ),
inference(avatar_component_clause,[],[f4225]) ).
fof(f40032,plain,
( spl4_1162
| ~ spl4_212
| ~ spl4_293 ),
inference(avatar_split_clause,[],[f4513,f4225,f2289,f40030]) ).
fof(f40030,plain,
( spl4_1162
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| le(X2,X3,X1,X4)
| ~ s_t(X1,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1162])]) ).
fof(f2289,plain,
( spl4_212
<=> ! [X2,X0,X1] :
( le(X0,X1,X1,X2)
| ~ s_t(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_212])]) ).
fof(f4513,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| le(X2,X3,X1,X4)
| ~ s_t(X1,X0,X4) )
| ~ spl4_212
| ~ spl4_293 ),
inference(resolution,[],[f4226,f2290]) ).
fof(f2290,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X1,X2)
| ~ s_t(X1,X0,X2) )
| ~ spl4_212 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f40028,plain,
( spl4_1161
| ~ spl4_213
| ~ spl4_293 ),
inference(avatar_split_clause,[],[f4512,f4225,f2293,f40026]) ).
fof(f40026,plain,
( spl4_1161
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| le(X2,X3,X0,X4)
| ~ s_t(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1161])]) ).
fof(f2293,plain,
( spl4_213
<=> ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_213])]) ).
fof(f4512,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| le(X2,X3,X0,X4)
| ~ s_t(X0,X1,X4) )
| ~ spl4_213
| ~ spl4_293 ),
inference(resolution,[],[f4226,f2294]) ).
fof(f2294,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_213 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f40024,plain,
( spl4_1160
| ~ spl4_177
| ~ spl4_281 ),
inference(avatar_split_clause,[],[f4168,f3578,f1862,f40022]) ).
fof(f40022,plain,
( spl4_1160
<=> ! [X0,X1] :
( s(X1,X0) = ext(X0,X1,X1,s(X1,X0))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1160])]) ).
fof(f3578,plain,
( spl4_281
<=> ! [X2,X0,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_281])]) ).
fof(f4168,plain,
( ! [X0,X1] :
( s(X1,X0) = ext(X0,X1,X1,s(X1,X0))
| X0 = X1 )
| ~ spl4_177
| ~ spl4_281 ),
inference(resolution,[],[f3579,f1863]) ).
fof(f3579,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ext(X0,X1,X1,X2) = X2
| X0 = X1 )
| ~ spl4_281 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f40020,plain,
( spl4_1159
| ~ spl4_177
| ~ spl4_280 ),
inference(avatar_split_clause,[],[f4139,f3574,f1862,f40018]) ).
fof(f40018,plain,
( spl4_1159
<=> ! [X0,X1] :
( s(X1,X0) = ext(X0,X1,s(X1,X0),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1159])]) ).
fof(f3574,plain,
( spl4_280
<=> ! [X2,X0,X1] :
( ext(X0,X1,X2,X1) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_280])]) ).
fof(f4139,plain,
( ! [X0,X1] :
( s(X1,X0) = ext(X0,X1,s(X1,X0),X1)
| X0 = X1 )
| ~ spl4_177
| ~ spl4_280 ),
inference(resolution,[],[f3575,f1863]) ).
fof(f3575,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ext(X0,X1,X2,X1) = X2
| X0 = X1 )
| ~ spl4_280 ),
inference(avatar_component_clause,[],[f3574]) ).
fof(f40016,plain,
( spl4_1158
| ~ spl4_235
| ~ spl4_277 ),
inference(avatar_split_clause,[],[f4096,f3554,f2796,f40014]) ).
fof(f40014,plain,
( spl4_1158
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,ins(X1,X2,X0,X0),X3,X4)
| s_e(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1158])]) ).
fof(f2796,plain,
( spl4_235
<=> ! [X2,X0,X1] : ins(X0,X1,X2,X2) = ext(X2,X2,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_235])]) ).
fof(f3554,plain,
( spl4_277
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ext(X5,X4,X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_277])]) ).
fof(f4096,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,ins(X1,X2,X0,X0),X3,X4)
| s_e(X3,X4,X1,X2) )
| ~ spl4_235
| ~ spl4_277 ),
inference(superposition,[],[f3555,f2797]) ).
fof(f2797,plain,
( ! [X2,X0,X1] : ins(X0,X1,X2,X2) = ext(X2,X2,X0,X1)
| ~ spl4_235 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f3555,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X4,ext(X5,X4,X2,X3),X0,X1)
| s_e(X0,X1,X2,X3) )
| ~ spl4_277 ),
inference(avatar_component_clause,[],[f3554]) ).
fof(f40012,plain,
( spl4_1157
| ~ spl4_221
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4072,f3550,f2654,f40010]) ).
fof(f40010,plain,
( spl4_1157
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X2)
| s_e(s(X3,X0),s(X3,X1),X4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1157])]) ).
fof(f2654,plain,
( spl4_221
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_e(X3,X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_221])]) ).
fof(f3550,plain,
( spl4_276
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X3,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_276])]) ).
fof(f4072,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X2)
| s_e(s(X3,X0),s(X3,X1),X4,X4) )
| ~ spl4_221
| ~ spl4_276 ),
inference(resolution,[],[f3551,f2655]) ).
fof(f2655,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X3,X3,X0,X1)
| s_e(X0,X1,X2,X2) )
| ~ spl4_221 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f3551,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X3,X4,X0,X1) )
| ~ spl4_276 ),
inference(avatar_component_clause,[],[f3550]) ).
fof(f39994,plain,
( spl4_1156
| ~ spl4_222
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4063,f3550,f2658,f39992]) ).
fof(f39992,plain,
( spl4_1156
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X0),s(X4,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1156])]) ).
fof(f2658,plain,
( spl4_222
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X3,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_222])]) ).
fof(f4063,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X0),s(X4,X1),X3,X2) )
| ~ spl4_222
| ~ spl4_276 ),
inference(resolution,[],[f3551,f2659]) ).
fof(f2659,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X3,X2,X0,X1)
| s_e(X0,X1,X2,X3) )
| ~ spl4_222 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f39990,plain,
( spl4_1155
| ~ spl4_58
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4050,f3550,f717,f39988]) ).
fof(f39988,plain,
( spl4_1155
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X3,X2,s(X4,X1),s(X4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1155])]) ).
fof(f717,plain,
( spl4_58
<=> ! [X0,X3,X2,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f4050,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X3,X2,s(X4,X1),s(X4,X0)) )
| ~ spl4_58
| ~ spl4_276 ),
inference(resolution,[],[f3551,f718]) ).
fof(f718,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) )
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f39986,plain,
( spl4_1154
| ~ spl4_56
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4048,f3550,f709,f39984]) ).
fof(f39984,plain,
( spl4_1154
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X3,X2,s(X4,X0),s(X4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1154])]) ).
fof(f709,plain,
( spl4_56
<=> ! [X0,X3,X2,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f4048,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X3,X2,s(X4,X0),s(X4,X1)) )
| ~ spl4_56
| ~ spl4_276 ),
inference(resolution,[],[f3551,f710]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X2,X3) )
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f39982,plain,
( spl4_1153
| ~ spl4_55
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4047,f3550,f705,f39980]) ).
fof(f39980,plain,
( spl4_1153
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X0),s(X4,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1153])]) ).
fof(f705,plain,
( spl4_55
<=> ! [X0,X3,X2,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f4047,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X0),s(X4,X1),X2,X3) )
| ~ spl4_55
| ~ spl4_276 ),
inference(resolution,[],[f3551,f706]) ).
fof(f706,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) )
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f39978,plain,
( spl4_1152
| ~ spl4_235
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4018,f3466,f2796,f39976]) ).
fof(f39976,plain,
( spl4_1152
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X3,X4,X0,ins(X1,X2,X0,X0))
| s_e(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1152])]) ).
fof(f3466,plain,
( spl4_270
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ext(X5,X4,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_270])]) ).
fof(f4018,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X3,X4,X0,ins(X1,X2,X0,X0))
| s_e(X3,X4,X1,X2) )
| ~ spl4_235
| ~ spl4_270 ),
inference(superposition,[],[f3467,f2797]) ).
fof(f3467,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X4,ext(X5,X4,X2,X3))
| s_e(X0,X1,X2,X3) )
| ~ spl4_270 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f39974,plain,
( spl4_1151
| ~ spl4_221
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f3994,f3462,f2654,f39972]) ).
fof(f39972,plain,
( spl4_1151
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X0,X1,X2)
| s_e(s(X3,X1),s(X3,X2),X4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1151])]) ).
fof(f3462,plain,
( spl4_269
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_269])]) ).
fof(f3994,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X0,X1,X2)
| s_e(s(X3,X1),s(X3,X2),X4,X4) )
| ~ spl4_221
| ~ spl4_269 ),
inference(resolution,[],[f3463,f2655]) ).
fof(f3463,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X0,X1,X3,X4) )
| ~ spl4_269 ),
inference(avatar_component_clause,[],[f3462]) ).
fof(f39970,plain,
( spl4_1150
| ~ spl4_222
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f3986,f3462,f2658,f39968]) ).
fof(f39968,plain,
( spl4_1150
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X2),s(X4,X3),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1150])]) ).
fof(f3986,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X2),s(X4,X3),X1,X0) )
| ~ spl4_222
| ~ spl4_269 ),
inference(resolution,[],[f3463,f2659]) ).
fof(f39966,plain,
( spl4_1149
| ~ spl4_58
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f3973,f3462,f717,f39964]) ).
fof(f39964,plain,
( spl4_1149
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,s(X4,X3),s(X4,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1149])]) ).
fof(f3973,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,s(X4,X3),s(X4,X2)) )
| ~ spl4_58
| ~ spl4_269 ),
inference(resolution,[],[f3463,f718]) ).
fof(f39962,plain,
( spl4_1148
| ~ spl4_56
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f3971,f3462,f709,f39960]) ).
fof(f39960,plain,
( spl4_1148
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,s(X4,X2),s(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1148])]) ).
fof(f3971,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,s(X4,X2),s(X4,X3)) )
| ~ spl4_56
| ~ spl4_269 ),
inference(resolution,[],[f3463,f710]) ).
fof(f39958,plain,
( spl4_1147
| ~ spl4_55
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f3970,f3462,f705,f39956]) ).
fof(f39956,plain,
( spl4_1147
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X2),s(X4,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1147])]) ).
fof(f3970,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| s_e(s(X4,X2),s(X4,X3),X0,X1) )
| ~ spl4_55
| ~ spl4_269 ),
inference(resolution,[],[f3463,f706]) ).
fof(f39954,plain,
( ~ spl4_1146
| ~ spl4_32
| ~ spl4_1054 ),
inference(avatar_split_clause,[],[f36162,f34526,f552,f39951]) ).
fof(f39951,plain,
( spl4_1146
<=> s_t(sK3,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1146])]) ).
fof(f552,plain,
( spl4_32
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f34526,plain,
( spl4_1054
<=> sameside(sK3,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1054])]) ).
fof(f36162,plain,
( ~ s_t(sK3,sK2,sK3)
| ~ spl4_32
| ~ spl4_1054 ),
inference(resolution,[],[f34528,f553]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f34528,plain,
( sameside(sK3,sK2,sK3)
| ~ spl4_1054 ),
inference(avatar_component_clause,[],[f34526]) ).
fof(f39949,plain,
( spl4_1145
| ~ spl4_24
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3869,f3450,f513,f39947]) ).
fof(f39947,plain,
( spl4_1145
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X2),X3,X1)
| ~ s_t(X2,s(X0,X3),s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1145])]) ).
fof(f3450,plain,
( spl4_266
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X2,s(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_266])]) ).
fof(f3869,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),X3,X1)
| ~ s_t(X2,s(X0,X3),s(X0,X1)) )
| ~ spl4_24
| ~ spl4_266 ),
inference(superposition,[],[f3451,f514]) ).
fof(f3451,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X2,s(X0,X1),X3) )
| ~ spl4_266 ),
inference(avatar_component_clause,[],[f3450]) ).
fof(f39945,plain,
( spl4_1144
| ~ spl4_197
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3838,f3450,f2069,f39943]) ).
fof(f39943,plain,
( spl4_1144
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_m(s(X1,X0),X2,s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1144])]) ).
fof(f2069,plain,
( spl4_197
<=> ! [X0,X1] :
( s_m(X0,X1,X0)
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_197])]) ).
fof(f3838,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_m(s(X1,X0),X2,s(X1,X0)) )
| ~ spl4_197
| ~ spl4_266 ),
inference(resolution,[],[f3451,f2070]) ).
fof(f2070,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| s_m(X0,X1,X0) )
| ~ spl4_197 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f39941,plain,
( spl4_1143
| ~ spl4_24
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3819,f3446,f513,f39939]) ).
fof(f39939,plain,
( spl4_1143
<=> ! [X0,X3,X2,X1] :
( s_t(X2,s(X0,X3),X1)
| ~ s_t(s(X0,X2),X3,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1143])]) ).
fof(f3446,plain,
( spl4_265
<=> ! [X0,X3,X2,X1] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_265])]) ).
fof(f3819,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,s(X0,X3),X1)
| ~ s_t(s(X0,X2),X3,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_265 ),
inference(superposition,[],[f3447,f514]) ).
fof(f3447,plain,
( ! [X2,X3,X0,X1] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) )
| ~ spl4_265 ),
inference(avatar_component_clause,[],[f3446]) ).
fof(f39937,plain,
( spl4_1142
| ~ spl4_24
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3817,f3446,f513,f39935]) ).
fof(f3817,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,X1,s(X0,X3))
| ~ s_t(s(X0,X2),s(X0,X1),X3) )
| ~ spl4_24
| ~ spl4_265 ),
inference(superposition,[],[f3447,f514]) ).
fof(f39933,plain,
( spl4_1141
| ~ spl4_24
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3780,f3442,f513,f39931]) ).
fof(f39931,plain,
( spl4_1141
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X2),s(X0,X3),X1)
| ~ s_t(s(X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1141])]) ).
fof(f3442,plain,
( spl4_264
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X2),s(X3,X1),s(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_264])]) ).
fof(f3780,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),s(X0,X3),X1)
| ~ s_t(s(X0,X1),X3,X2) )
| ~ spl4_24
| ~ spl4_264 ),
inference(superposition,[],[f3443,f514]) ).
fof(f3443,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X3,X2),s(X3,X1),s(X3,X0))
| ~ s_t(X0,X1,X2) )
| ~ spl4_264 ),
inference(avatar_component_clause,[],[f3442]) ).
fof(f39929,plain,
( spl4_1140
| ~ spl4_24
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3778,f3442,f513,f39927]) ).
fof(f39927,plain,
( spl4_1140
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X3,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1140])]) ).
fof(f3778,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X3,s(X0,X1),X2) )
| ~ spl4_24
| ~ spl4_264 ),
inference(superposition,[],[f3443,f514]) ).
fof(f39925,plain,
( spl4_1139
| ~ spl4_24
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3776,f3442,f513,f39923]) ).
fof(f39923,plain,
( spl4_1139
<=> ! [X0,X3,X2,X1] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X3,X2,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1139])]) ).
fof(f3776,plain,
( ! [X2,X3,X0,X1] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X3,X2,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_264 ),
inference(superposition,[],[f3443,f514]) ).
fof(f39921,plain,
( spl4_1138
| ~ spl4_24
| ~ spl4_263 ),
inference(avatar_split_clause,[],[f3739,f3438,f513,f39919]) ).
fof(f39919,plain,
( spl4_1138
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(s(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1138])]) ).
fof(f3438,plain,
( spl4_263
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X1),s(X3,X2),s(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_263])]) ).
fof(f3739,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(s(X0,X1),X2,X3) )
| ~ spl4_24
| ~ spl4_263 ),
inference(superposition,[],[f3439,f514]) ).
fof(f3439,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X3,X1),s(X3,X2),s(X3,X0))
| ~ s_t(X0,X1,X2) )
| ~ spl4_263 ),
inference(avatar_component_clause,[],[f3438]) ).
fof(f39917,plain,
( spl4_1137
| ~ spl4_24
| ~ spl4_263 ),
inference(avatar_split_clause,[],[f3737,f3438,f513,f39915]) ).
fof(f39915,plain,
( spl4_1137
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X3,X2,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1137])]) ).
fof(f3737,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X3,X2,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_263 ),
inference(superposition,[],[f3439,f514]) ).
fof(f39913,plain,
( spl4_1136
| ~ spl4_24
| ~ spl4_263 ),
inference(avatar_split_clause,[],[f3735,f3438,f513,f39911]) ).
fof(f39911,plain,
( spl4_1136
<=> ! [X0,X3,X2,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X3,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1136])]) ).
fof(f3735,plain,
( ! [X2,X3,X0,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X3,s(X0,X1),X2) )
| ~ spl4_24
| ~ spl4_263 ),
inference(superposition,[],[f3439,f514]) ).
fof(f39909,plain,
( ~ spl4_1135
| ~ spl4_32
| ~ spl4_1052 ),
inference(avatar_split_clause,[],[f35746,f34177,f552,f39906]) ).
fof(f39906,plain,
( spl4_1135
<=> s_t(sK2,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1135])]) ).
fof(f34177,plain,
( spl4_1052
<=> sameside(sK2,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1052])]) ).
fof(f35746,plain,
( ~ s_t(sK2,sK3,sK2)
| ~ spl4_32
| ~ spl4_1052 ),
inference(resolution,[],[f34179,f553]) ).
fof(f34179,plain,
( sameside(sK2,sK3,sK2)
| ~ spl4_1052 ),
inference(avatar_component_clause,[],[f34177]) ).
fof(f39904,plain,
( spl4_1134
| ~ spl4_24
| ~ spl4_262 ),
inference(avatar_split_clause,[],[f3722,f3434,f513,f39902]) ).
fof(f39902,plain,
( spl4_1134
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X3,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1134])]) ).
fof(f3434,plain,
( spl4_262
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X2),s(X3,X0),s(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_262])]) ).
fof(f3722,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X3,s(X0,X1),X2) )
| ~ spl4_24
| ~ spl4_262 ),
inference(superposition,[],[f3435,f514]) ).
fof(f3435,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X3,X2),s(X3,X0),s(X3,X1))
| ~ s_t(X0,X1,X2) )
| ~ spl4_262 ),
inference(avatar_component_clause,[],[f3434]) ).
fof(f39900,plain,
( spl4_1133
| ~ spl4_24
| ~ spl4_262 ),
inference(avatar_split_clause,[],[f3720,f3434,f513,f39898]) ).
fof(f39898,plain,
( spl4_1133
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(s(X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1133])]) ).
fof(f3720,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(s(X0,X1),X3,X2) )
| ~ spl4_24
| ~ spl4_262 ),
inference(superposition,[],[f3435,f514]) ).
fof(f39896,plain,
( spl4_1132
| ~ spl4_24
| ~ spl4_262 ),
inference(avatar_split_clause,[],[f3718,f3434,f513,f39894]) ).
fof(f39894,plain,
( spl4_1132
<=> ! [X0,X3,X2,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X2,X3,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1132])]) ).
fof(f3718,plain,
( ! [X2,X3,X0,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(X2,X3,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_262 ),
inference(superposition,[],[f3435,f514]) ).
fof(f39892,plain,
( spl4_1131
| ~ spl4_24
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3705,f3430,f513,f39890]) ).
fof(f39890,plain,
( spl4_1131
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X2,X3,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1131])]) ).
fof(f3430,plain,
( spl4_261
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X0),s(X3,X1),s(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_261])]) ).
fof(f3705,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X2,X3,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_261 ),
inference(superposition,[],[f3431,f514]) ).
fof(f3431,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_261 ),
inference(avatar_component_clause,[],[f3430]) ).
fof(f39888,plain,
( spl4_1130
| ~ spl4_24
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3703,f3430,f513,f39886]) ).
fof(f39886,plain,
( spl4_1130
<=> ! [X0,X3,X2,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X2,s(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1130])]) ).
fof(f3703,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X2,s(X0,X1),X3) )
| ~ spl4_24
| ~ spl4_261 ),
inference(superposition,[],[f3431,f514]) ).
fof(f39884,plain,
( spl4_1129
| ~ spl4_24
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3701,f3430,f513,f39882]) ).
fof(f39882,plain,
( spl4_1129
<=> ! [X0,X3,X2,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1129])]) ).
fof(f3701,plain,
( ! [X2,X3,X0,X1] :
( s_col(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) )
| ~ spl4_24
| ~ spl4_261 ),
inference(superposition,[],[f3431,f514]) ).
fof(f39880,plain,
( spl4_1128
| ~ spl4_42
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3693,f3430,f594,f39878]) ).
fof(f39878,plain,
( spl4_1128
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X0),s(X3,X2),s(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1128])]) ).
fof(f594,plain,
( spl4_42
<=> ! [X2,X0,X1] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f3693,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X0),s(X3,X2),s(X3,X1)) )
| ~ spl4_42
| ~ spl4_261 ),
inference(resolution,[],[f3431,f595]) ).
fof(f595,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X0,X2,X1) )
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f39876,plain,
( spl4_1127
| ~ spl4_41
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3692,f3430,f590,f39874]) ).
fof(f39874,plain,
( spl4_1127
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X1),s(X3,X0),s(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1127])]) ).
fof(f590,plain,
( spl4_41
<=> ! [X2,X0,X1] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f3692,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X1),s(X3,X0),s(X3,X2)) )
| ~ spl4_41
| ~ spl4_261 ),
inference(resolution,[],[f3431,f591]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X1,X0,X2) )
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f39872,plain,
( spl4_1126
| ~ spl4_40
| ~ spl4_261 ),
inference(avatar_split_clause,[],[f3691,f3430,f584,f39870]) ).
fof(f39870,plain,
( spl4_1126
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X2),s(X3,X1),s(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1126])]) ).
fof(f584,plain,
( spl4_40
<=> ! [X2,X0,X1] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f3691,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X2),s(X3,X1),s(X3,X0)) )
| ~ spl4_40
| ~ spl4_261 ),
inference(resolution,[],[f3431,f585]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X2,X1,X0) )
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f39868,plain,
( spl4_1125
| ~ spl4_222
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f3620,f3414,f2658,f39866]) ).
fof(f39866,plain,
( spl4_1125
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X3,X2,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1125])]) ).
fof(f3414,plain,
( spl4_257
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(ins(X2,X3,X0,X1),X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_257])]) ).
fof(f3620,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X3,X2,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_222
| ~ spl4_257 ),
inference(resolution,[],[f3415,f2659]) ).
fof(f3415,plain,
( ! [X2,X3,X0,X1] :
( s_e(ins(X2,X3,X0,X1),X0,X3,X2)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_257 ),
inference(avatar_component_clause,[],[f3414]) ).
fof(f39862,plain,
( spl4_1124
| ~ spl4_55
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f3604,f3414,f705,f39860]) ).
fof(f39860,plain,
( spl4_1124
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X3,X2,ins(X2,X3,X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1124])]) ).
fof(f3604,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X3,X2,ins(X2,X3,X0,X1),X0) )
| ~ spl4_55
| ~ spl4_257 ),
inference(resolution,[],[f3415,f706]) ).
fof(f39858,plain,
( spl4_1123
| ~ spl4_220
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f3602,f3414,f2650,f39856]) ).
fof(f39856,plain,
( spl4_1123
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X2)
| s_e(ins(X2,X2,X0,X1),X0,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1123])]) ).
fof(f2650,plain,
( spl4_220
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_e(X0,X1,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_220])]) ).
fof(f3602,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X2)
| s_e(ins(X2,X2,X0,X1),X0,X3,X3) )
| ~ spl4_220
| ~ spl4_257 ),
inference(resolution,[],[f3415,f2651]) ).
fof(f2651,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X3,X3)
| s_e(X0,X1,X2,X2) )
| ~ spl4_220 ),
inference(avatar_component_clause,[],[f2650]) ).
fof(f39854,plain,
( spl4_1122
| ~ spl4_37
| ~ spl4_256 ),
inference(avatar_split_clause,[],[f3594,f3410,f572,f39852]) ).
fof(f39852,plain,
( spl4_1122
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| xb = X0
| sameside(ext(X0,X1,X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1122])]) ).
fof(f572,plain,
( spl4_37
<=> ! [X2,X0,X1] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f3594,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| xb = X0
| sameside(ext(X0,X1,X2,X3),X0,X1) )
| ~ spl4_37
| ~ spl4_256 ),
inference(resolution,[],[f3411,f573]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| sameside(X2,X1,X0) )
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f39850,plain,
( spl4_1121
| ~ spl4_99
| ~ spl4_222 ),
inference(avatar_split_clause,[],[f2745,f2658,f1011,f39848]) ).
fof(f39848,plain,
( spl4_1121
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,ins(X0,X1,X2,X3),X2)
| ~ le(X2,X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1121])]) ).
fof(f1011,plain,
( spl4_99
<=> ! [X0,X3,X2,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).
fof(f2745,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,ins(X0,X1,X2,X3),X2)
| ~ le(X2,X3,X0,X1) )
| ~ spl4_99
| ~ spl4_222 ),
inference(resolution,[],[f2659,f1012]) ).
fof(f1012,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_99 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f39846,plain,
( spl4_1120
| ~ spl4_99
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f2697,f2650,f1011,f39844]) ).
fof(f39844,plain,
( spl4_1120
<=> ! [X0,X3,X2,X1] :
( s_e(X0,ins(X1,X1,X0,X2),X3,X3)
| ~ le(X0,X2,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1120])]) ).
fof(f2697,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,ins(X1,X1,X0,X2),X3,X3)
| ~ le(X0,X2,X1,X1) )
| ~ spl4_99
| ~ spl4_220 ),
inference(resolution,[],[f2651,f1012]) ).
fof(f39842,plain,
( spl4_1119
| ~ spl4_116
| ~ spl4_215 ),
inference(avatar_split_clause,[],[f2635,f2301,f1153,f39840]) ).
fof(f39840,plain,
( spl4_1119
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X2,X0,X0,X1)
| ~ le(X2,X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1119])]) ).
fof(f1153,plain,
( spl4_116
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_116])]) ).
fof(f2635,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X2,X0,X0,X1)
| ~ le(X2,X0,X0,X1) )
| ~ spl4_116
| ~ spl4_215 ),
inference(resolution,[],[f2302,f1154]) ).
fof(f1154,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X2,X3,X0,X1)
| s_e(X0,X1,X2,X3)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_116 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f39838,plain,
( spl4_1118
| ~ spl4_119
| ~ spl4_215 ),
inference(avatar_split_clause,[],[f2634,f2301,f1165,f39836]) ).
fof(f39836,plain,
( spl4_1118
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X2,X0)
| ~ le(X3,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1118])]) ).
fof(f1165,plain,
( spl4_119
<=> ! [X2,X3,X4,X0,X5,X1] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_119])]) ).
fof(f2634,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X2,X0)
| ~ le(X3,X4,X0,X1) )
| ~ spl4_119
| ~ spl4_215 ),
inference(resolution,[],[f2302,f1166]) ).
fof(f1166,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ le(X2,X3,X4,X5)
| le(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_119 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f39834,plain,
( spl4_1117
| ~ spl4_116
| ~ spl4_213 ),
inference(avatar_split_clause,[],[f2618,f2293,f1153,f39832]) ).
fof(f39832,plain,
( spl4_1117
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X0,X2,X0,X1)
| ~ le(X0,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1117])]) ).
fof(f2618,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X0,X2,X0,X1)
| ~ le(X0,X2,X0,X1) )
| ~ spl4_116
| ~ spl4_213 ),
inference(resolution,[],[f2294,f1154]) ).
fof(f39830,plain,
( spl4_1116
| ~ spl4_119
| ~ spl4_213 ),
inference(avatar_split_clause,[],[f2617,f2293,f1165,f39828]) ).
fof(f39828,plain,
( spl4_1116
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X0,X2)
| ~ le(X3,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1116])]) ).
fof(f2617,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X0,X2)
| ~ le(X3,X4,X0,X1) )
| ~ spl4_119
| ~ spl4_213 ),
inference(resolution,[],[f2294,f1166]) ).
fof(f39826,plain,
( spl4_1115
| ~ spl4_116
| ~ spl4_212 ),
inference(avatar_split_clause,[],[f2584,f2289,f1153,f39824]) ).
fof(f39824,plain,
( spl4_1115
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X0,X2,X1,X0)
| ~ le(X0,X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1115])]) ).
fof(f2584,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_e(X0,X2,X1,X0)
| ~ le(X0,X2,X1,X0) )
| ~ spl4_116
| ~ spl4_212 ),
inference(resolution,[],[f2290,f1154]) ).
fof(f39822,plain,
( spl4_1114
| ~ spl4_119
| ~ spl4_212 ),
inference(avatar_split_clause,[],[f2583,f2289,f1165,f39820]) ).
fof(f39820,plain,
( spl4_1114
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X0,X2)
| ~ le(X3,X4,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1114])]) ).
fof(f2583,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| le(X3,X4,X0,X2)
| ~ le(X3,X4,X1,X0) )
| ~ spl4_119
| ~ spl4_212 ),
inference(resolution,[],[f2290,f1166]) ).
fof(f39818,plain,
( spl4_1113
| ~ spl4_122
| ~ spl4_211 ),
inference(avatar_split_clause,[],[f2570,f2285,f1177,f39816]) ).
fof(f39816,plain,
( spl4_1113
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(ext(X4,X5,X3,X2),X5,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1113])]) ).
fof(f1177,plain,
( spl4_122
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).
fof(f2570,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(ext(X4,X5,X3,X2),X5,X0,X1) )
| ~ spl4_122
| ~ spl4_211 ),
inference(resolution,[],[f2286,f1178]) ).
fof(f1178,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_122 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f39814,plain,
( spl4_1112
| ~ spl4_121
| ~ spl4_211 ),
inference(avatar_split_clause,[],[f2569,f2285,f1173,f39812]) ).
fof(f39812,plain,
( spl4_1112
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,ext(X4,X5,X3,X2),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1112])]) ).
fof(f1173,plain,
( spl4_121
<=> ! [X2,X3,X4,X0,X5,X1] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_121])]) ).
fof(f2569,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,ext(X4,X5,X3,X2),X5) )
| ~ spl4_121
| ~ spl4_211 ),
inference(resolution,[],[f2286,f1174]) ).
fof(f1174,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X2,X3,X4,X5)
| s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_121 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f39810,plain,
( spl4_1111
| ~ spl4_122
| ~ spl4_210 ),
inference(avatar_split_clause,[],[f2547,f2281,f1177,f39808]) ).
fof(f39808,plain,
( spl4_1111
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1111])]) ).
fof(f2547,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X0,X1,X3,X4) )
| ~ spl4_122
| ~ spl4_210 ),
inference(resolution,[],[f2282,f1178]) ).
fof(f39806,plain,
( spl4_1110
| ~ spl4_121
| ~ spl4_210 ),
inference(avatar_split_clause,[],[f2546,f2281,f1173,f39804]) ).
fof(f39804,plain,
( spl4_1110
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X3,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1110])]) ).
fof(f2546,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X3,X4,X0,X1) )
| ~ spl4_121
| ~ spl4_210 ),
inference(resolution,[],[f2282,f1174]) ).
fof(f39802,plain,
( spl4_1109
| ~ spl4_122
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f2523,f2277,f1177,f39800]) ).
fof(f39800,plain,
( spl4_1109
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ext(X5,X4,X3,X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1109])]) ).
fof(f2523,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ext(X5,X4,X3,X2),X0,X1) )
| ~ spl4_122
| ~ spl4_209 ),
inference(resolution,[],[f2278,f1178]) ).
fof(f39798,plain,
( spl4_1108
| ~ spl4_121
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f2522,f2277,f1173,f39796]) ).
fof(f39796,plain,
( spl4_1108
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ext(X5,X4,X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1108])]) ).
fof(f2522,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ext(X5,X4,X3,X2)) )
| ~ spl4_121
| ~ spl4_209 ),
inference(resolution,[],[f2278,f1174]) ).
fof(f39794,plain,
( spl4_1107
| ~ spl4_122
| ~ spl4_208 ),
inference(avatar_split_clause,[],[f2500,f2273,f1177,f39792]) ).
fof(f39792,plain,
( spl4_1107
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X1,X0,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1107])]) ).
fof(f2500,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X1,X0,X3,X4) )
| ~ spl4_122
| ~ spl4_208 ),
inference(resolution,[],[f2274,f1178]) ).
fof(f39790,plain,
( spl4_1106
| ~ spl4_121
| ~ spl4_208 ),
inference(avatar_split_clause,[],[f2499,f2273,f1173,f39788]) ).
fof(f39788,plain,
( spl4_1106
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X3,X4,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1106])]) ).
fof(f2499,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X2,X1)
| ~ s_e(X3,X4,X1,X0) )
| ~ spl4_121
| ~ spl4_208 ),
inference(resolution,[],[f2274,f1174]) ).
fof(f39786,plain,
( spl4_1105
| ~ spl4_122
| ~ spl4_207 ),
inference(avatar_split_clause,[],[f2482,f2269,f1177,f39784]) ).
fof(f39784,plain,
( spl4_1105
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(ext(X4,X5,X2,X3),X5,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1105])]) ).
fof(f2482,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(ext(X4,X5,X2,X3),X5,X0,X1) )
| ~ spl4_122
| ~ spl4_207 ),
inference(resolution,[],[f2270,f1178]) ).
fof(f39782,plain,
( spl4_865
| ~ spl4_39
| ~ spl4_854 ),
inference(avatar_split_clause,[],[f21973,f21552,f580,f21611]) ).
fof(f580,plain,
( spl4_39
<=> ! [X2,X0,X1] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f21552,plain,
( spl4_854
<=> s_col(sK3,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_854])]) ).
fof(f21973,plain,
( s_col(sK1,sK3,sK0)
| ~ spl4_39
| ~ spl4_854 ),
inference(resolution,[],[f21554,f581]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X2,X0,X1) )
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f21554,plain,
( s_col(sK3,sK0,sK1)
| ~ spl4_854 ),
inference(avatar_component_clause,[],[f21552]) ).
fof(f39781,plain,
( spl4_1104
| ~ spl4_121
| ~ spl4_207 ),
inference(avatar_split_clause,[],[f2481,f2269,f1173,f39779]) ).
fof(f39779,plain,
( spl4_1104
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,ext(X4,X5,X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1104])]) ).
fof(f2481,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,ext(X4,X5,X2,X3),X5) )
| ~ spl4_121
| ~ spl4_207 ),
inference(resolution,[],[f2270,f1174]) ).
fof(f39777,plain,
( spl4_1103
| ~ spl4_122
| ~ spl4_206 ),
inference(avatar_split_clause,[],[f2449,f2265,f1177,f39775]) ).
fof(f39775,plain,
( spl4_1103
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X4,X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1103])]) ).
fof(f2449,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X4,X3,X0,X1) )
| ~ spl4_122
| ~ spl4_206 ),
inference(resolution,[],[f2266,f1178]) ).
fof(f39773,plain,
( spl4_1102
| ~ spl4_121
| ~ spl4_206 ),
inference(avatar_split_clause,[],[f2448,f2265,f1173,f39771]) ).
fof(f39771,plain,
( spl4_1102
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X0,X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1102])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X0,X1,X4,X3) )
| ~ spl4_121
| ~ spl4_206 ),
inference(resolution,[],[f2266,f1174]) ).
fof(f39769,plain,
( spl4_1101
| ~ spl4_122
| ~ spl4_205 ),
inference(avatar_split_clause,[],[f2426,f2220,f1177,f39767]) ).
fof(f39767,plain,
( spl4_1101
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X2)
| ~ s_e(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1101])]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X2)
| ~ s_e(X0,X1,X3,X4) )
| ~ spl4_122
| ~ spl4_205 ),
inference(resolution,[],[f2221,f1178]) ).
fof(f39765,plain,
( spl4_1100
| ~ spl4_121
| ~ spl4_205 ),
inference(avatar_split_clause,[],[f2425,f2220,f1173,f39763]) ).
fof(f39763,plain,
( spl4_1100
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X2)
| ~ s_e(X3,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1100])]) ).
fof(f2425,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X2)
| ~ s_e(X3,X4,X0,X1) )
| ~ spl4_121
| ~ spl4_205 ),
inference(resolution,[],[f2221,f1174]) ).
fof(f39761,plain,
( spl4_1099
| ~ spl4_122
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2402,f2216,f1177,f39759]) ).
fof(f39759,plain,
( spl4_1099
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X1,X2,ext(X3,X2,X4,X5))
| ~ s_e(X4,X5,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1099])]) ).
fof(f2402,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,ext(X3,X2,X4,X5))
| ~ s_e(X4,X5,X0,X1) )
| ~ spl4_122
| ~ spl4_204 ),
inference(resolution,[],[f2217,f1178]) ).
fof(f39757,plain,
( spl4_1098
| ~ spl4_121
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2401,f2216,f1173,f39755]) ).
fof(f39755,plain,
( spl4_1098
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X1,X2,ext(X3,X2,X4,X5))
| ~ s_e(X0,X1,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1098])]) ).
fof(f2401,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,ext(X3,X2,X4,X5))
| ~ s_e(X0,X1,X4,X5) )
| ~ spl4_121
| ~ spl4_204 ),
inference(resolution,[],[f2217,f1174]) ).
fof(f39753,plain,
( spl4_1097
| ~ spl4_122
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f2382,f2212,f1177,f39751]) ).
fof(f39751,plain,
( spl4_1097
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(s(X4,X2),s(X4,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1097])]) ).
fof(f2382,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(s(X4,X2),s(X4,X3),X0,X1) )
| ~ spl4_122
| ~ spl4_203 ),
inference(resolution,[],[f2213,f1178]) ).
fof(f39749,plain,
( spl4_1096
| ~ spl4_121
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f2381,f2212,f1173,f39747]) ).
fof(f39747,plain,
( spl4_1096
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,s(X4,X2),s(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1096])]) ).
fof(f2381,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,s(X4,X2),s(X4,X3)) )
| ~ spl4_121
| ~ spl4_203 ),
inference(resolution,[],[f2213,f1174]) ).
fof(f39745,plain,
( spl4_1095
| ~ spl4_122
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2354,f2208,f1177,f39743]) ).
fof(f39743,plain,
( spl4_1095
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X0)
| ~ s_e(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1095])]) ).
fof(f2354,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X0)
| ~ s_e(X1,X2,X3,X4) )
| ~ spl4_122
| ~ spl4_202 ),
inference(resolution,[],[f2209,f1178]) ).
fof(f39741,plain,
( spl4_1094
| ~ spl4_38
| ~ spl4_854 ),
inference(avatar_split_clause,[],[f21972,f21552,f576,f39738]) ).
fof(f21972,plain,
( s_col(sK0,sK1,sK3)
| ~ spl4_38
| ~ spl4_854 ),
inference(resolution,[],[f21554,f577]) ).
fof(f39736,plain,
( spl4_1093
| ~ spl4_121
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2353,f2208,f1173,f39734]) ).
fof(f39734,plain,
( spl4_1093
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X0)
| ~ s_e(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1093])]) ).
fof(f2353,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_m(X0,X1,X2)
| s_e(X3,X4,X1,X0)
| ~ s_e(X3,X4,X1,X2) )
| ~ spl4_121
| ~ spl4_202 ),
inference(resolution,[],[f2209,f1174]) ).
fof(f39732,plain,
( spl4_1092
| ~ spl4_122
| ~ spl4_201 ),
inference(avatar_split_clause,[],[f2333,f2204,f1177,f39730]) ).
fof(f39730,plain,
( spl4_1092
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X3,s(X2,X4),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1092])]) ).
fof(f2333,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X3,s(X2,X4),X0,X1) )
| ~ spl4_122
| ~ spl4_201 ),
inference(resolution,[],[f2205,f1178]) ).
fof(f39728,plain,
( spl4_1091
| ~ spl4_121
| ~ spl4_201 ),
inference(avatar_split_clause,[],[f2332,f2204,f1173,f39726]) ).
fof(f39726,plain,
( spl4_1091
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X0,X1,X3,s(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1091])]) ).
fof(f2332,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X0,X1,X3,s(X2,X4)) )
| ~ spl4_121
| ~ spl4_201 ),
inference(resolution,[],[f2205,f1174]) ).
fof(f39724,plain,
( spl4_1090
| ~ spl4_122
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f2312,f2200,f1177,f39722]) ).
fof(f39722,plain,
( spl4_1090
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X3,X4))
| ~ s_e(s(X3,X2),X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1090])]) ).
fof(f2312,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,s(X3,X4))
| ~ s_e(s(X3,X2),X4,X0,X1) )
| ~ spl4_122
| ~ spl4_200 ),
inference(resolution,[],[f2201,f1178]) ).
fof(f39720,plain,
( spl4_1089
| ~ spl4_121
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f2311,f2200,f1173,f39718]) ).
fof(f39718,plain,
( spl4_1089
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X3,X4))
| ~ s_e(X0,X1,s(X3,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1089])]) ).
fof(f2311,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,s(X3,X4))
| ~ s_e(X0,X1,s(X3,X2),X4) )
| ~ spl4_121
| ~ spl4_200 ),
inference(resolution,[],[f2201,f1174]) ).
fof(f39716,plain,
( spl4_1088
| ~ spl4_100
| ~ spl4_197 ),
inference(avatar_split_clause,[],[f2186,f2069,f1015,f39714]) ).
fof(f39714,plain,
( spl4_1088
<=> ! [X2,X0,X1] :
( s_m(s(X0,X1),s(X0,X2),s(X0,X1))
| ~ s_t(X1,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1088])]) ).
fof(f1015,plain,
( spl4_100
<=> ! [X0,X3,X2,X1] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).
fof(f2186,plain,
( ! [X2,X0,X1] :
( s_m(s(X0,X1),s(X0,X2),s(X0,X1))
| ~ s_t(X1,X2,X1) )
| ~ spl4_100
| ~ spl4_197 ),
inference(resolution,[],[f2070,f1016]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_100 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f39712,plain,
( spl4_1087
| ~ spl4_125
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1878,f1862,f1231,f39710]) ).
fof(f39710,plain,
( spl4_1087
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,s(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1087])]) ).
fof(f1231,plain,
( spl4_125
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_125])]) ).
fof(f1878,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,s(X2,X0)) )
| ~ spl4_125
| ~ spl4_177 ),
inference(resolution,[],[f1863,f1232]) ).
fof(f1232,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X3,X2)
| s_t(X0,X1,X3)
| s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) )
| ~ spl4_125 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f39708,plain,
( spl4_1086
| ~ spl4_98
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1875,f1862,f1007,f39706]) ).
fof(f39706,plain,
( spl4_1086
<=> ! [X0,X1] :
( X0 = X1
| s(X1,X0) = X0
| sameside(s(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1086])]) ).
fof(f1007,plain,
( spl4_98
<=> ! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).
fof(f1875,plain,
( ! [X0,X1] :
( X0 = X1
| s(X1,X0) = X0
| sameside(s(X1,X0),X0,X1) )
| ~ spl4_98
| ~ spl4_177 ),
inference(resolution,[],[f1863,f1008]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| X1 = X2
| X0 = X1
| sameside(X0,X1,X2) )
| ~ spl4_98 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f39620,plain,
( ~ spl4_1085
| ~ spl4_32
| ~ spl4_844 ),
inference(avatar_split_clause,[],[f21924,f21471,f552,f39617]) ).
fof(f39617,plain,
( spl4_1085
<=> s_t(xb,sK3,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1085])]) ).
fof(f21471,plain,
( spl4_844
<=> sameside(xb,sK3,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_844])]) ).
fof(f21924,plain,
( ~ s_t(xb,sK3,xb)
| ~ spl4_32
| ~ spl4_844 ),
inference(resolution,[],[f21473,f553]) ).
fof(f21473,plain,
( sameside(xb,sK3,xb)
| ~ spl4_844 ),
inference(avatar_component_clause,[],[f21471]) ).
fof(f39577,plain,
( spl4_1084
| ~ spl4_176
| ~ spl4_449 ),
inference(avatar_split_clause,[],[f9017,f8777,f1856,f39575]) ).
fof(f39575,plain,
( spl4_1084
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK2))
| ~ s_t(X2,X3,s(sK3,sK2))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,s(sK3,sK2),X0,X1,X4))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK2),X0,X1,X4),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1084])]) ).
fof(f1856,plain,
( spl4_176
<=> ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_176])]) ).
fof(f8777,plain,
( spl4_449
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X6,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_449])]) ).
fof(f9017,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,s(sK3,sK2))
| ~ s_t(X2,X3,s(sK3,sK2))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,s(sK3,sK2),X0,X1,X4))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK2),X0,X1,X4),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_449 ),
inference(resolution,[],[f8778,f1857]) ).
fof(f1857,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),X0,s(sK3,sK1)) )
| ~ spl4_176 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f8778,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,X1,X4) )
| ~ spl4_449 ),
inference(avatar_component_clause,[],[f8777]) ).
fof(f39573,plain,
( spl4_1083
| ~ spl4_176
| ~ spl4_308 ),
inference(avatar_split_clause,[],[f4842,f4620,f1856,f39571]) ).
fof(f39571,plain,
( spl4_1083
<=> ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1083])]) ).
fof(f4620,plain,
( spl4_308
<=> ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_308])]) ).
fof(f4842,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_308 ),
inference(resolution,[],[f4621,f1857]) ).
fof(f4621,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X1) )
| ~ spl4_308 ),
inference(avatar_component_clause,[],[f4620]) ).
fof(f39569,plain,
( spl4_1082
| ~ spl4_176
| ~ spl4_307 ),
inference(avatar_split_clause,[],[f4802,f4616,f1856,f39567]) ).
fof(f39567,plain,
( spl4_1082
<=> ! [X0] :
( ~ s_t(s(sK3,sK2),X0,s(sK3,sK0))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK2),X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK2),X0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1082])]) ).
fof(f4616,plain,
( spl4_307
<=> ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1)
| ~ s_t(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_307])]) ).
fof(f4802,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK2),X0,s(sK3,sK0))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK2),X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK2),X0),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_307 ),
inference(resolution,[],[f4617,f1857]) ).
fof(f4617,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1)
| ~ s_t(X1,X2,X0) )
| ~ spl4_307 ),
inference(avatar_component_clause,[],[f4616]) ).
fof(f39298,plain,
( ~ spl4_1081
| ~ spl4_32
| ~ spl4_840 ),
inference(avatar_split_clause,[],[f21875,f21074,f552,f39295]) ).
fof(f39295,plain,
( spl4_1081
<=> s_t(sK3,xb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1081])]) ).
fof(f21074,plain,
( spl4_840
<=> sameside(sK3,xb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_840])]) ).
fof(f21875,plain,
( ~ s_t(sK3,xb,sK3)
| ~ spl4_32
| ~ spl4_840 ),
inference(resolution,[],[f21076,f553]) ).
fof(f21076,plain,
( sameside(sK3,xb,sK3)
| ~ spl4_840 ),
inference(avatar_component_clause,[],[f21074]) ).
fof(f39293,plain,
( spl4_1080
| ~ spl4_123
| ~ spl4_524 ),
inference(avatar_split_clause,[],[f11286,f11174,f1223,f39291]) ).
fof(f39291,plain,
( spl4_1080
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2))
| ~ le(X1,X2,s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1080])]) ).
fof(f1223,plain,
( spl4_123
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_123])]) ).
fof(f11174,plain,
( spl4_524
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X4)
| ~ s_t(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_524])]) ).
fof(f11286,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2))
| ~ le(X1,X2,s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_524 ),
inference(resolution,[],[f11175,f1224]) ).
fof(f1224,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f11175,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X4)
| s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3)
| ~ s_t(X2,X4,X3) )
| ~ spl4_524 ),
inference(avatar_component_clause,[],[f11174]) ).
fof(f39289,plain,
( spl4_1079
| ~ spl4_137
| ~ spl4_524 ),
inference(avatar_split_clause,[],[f11285,f11174,f1347,f39287]) ).
fof(f39287,plain,
( spl4_1079
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2))
| ~ le(X1,X2,s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1079])]) ).
fof(f1347,plain,
( spl4_137
<=> ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_137])]) ).
fof(f11285,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2))
| ~ le(X1,X2,s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(ext(X0,s(sK3,sK0),alpha,gamma),s(sK3,sK0),X1,X2),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_524 ),
inference(resolution,[],[f11175,f1348]) ).
fof(f1348,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),X0,s(sK3,sK2)) )
| ~ spl4_137 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f39285,plain,
( spl4_1078
| ~ spl4_176
| ~ spl4_424 ),
inference(avatar_split_clause,[],[f7964,f7768,f1856,f39283]) ).
fof(f39283,plain,
( spl4_1078
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1078])]) ).
fof(f7768,plain,
( spl4_424
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| s_t(X0,ext(X0,X2,X3,X4),X1)
| ~ s_t(X0,X2,X1)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_424])]) ).
fof(f7964,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_424 ),
inference(resolution,[],[f7769,f1857]) ).
fof(f7769,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ext(X0,X2,X3,X4),X1)
| s_t(X0,X1,ext(X0,X2,X3,X4))
| ~ s_t(X0,X2,X1)
| X0 = X2 )
| ~ spl4_424 ),
inference(avatar_component_clause,[],[f7768]) ).
fof(f39281,plain,
( spl4_1077
| ~ spl4_176
| ~ spl4_423 ),
inference(avatar_split_clause,[],[f7857,f7764,f1856,f39279]) ).
fof(f39279,plain,
( spl4_1077
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1077])]) ).
fof(f7764,plain,
( spl4_423
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),X1)
| ~ s_t(X2,X0,X1)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_423])]) ).
fof(f7857,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_423 ),
inference(resolution,[],[f7765,f1857]) ).
fof(f7765,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ext(X2,X0,X3,X4),X1)
| s_t(X0,X1,ext(X2,X0,X3,X4))
| ~ s_t(X2,X0,X1)
| X0 = X2 )
| ~ spl4_423 ),
inference(avatar_component_clause,[],[f7764]) ).
fof(f39277,plain,
( spl4_1076
| ~ spl4_187
| ~ spl4_395 ),
inference(avatar_split_clause,[],[f7105,f6706,f2028,f39275]) ).
fof(f39275,plain,
( spl4_1076
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1076])]) ).
fof(f2028,plain,
( spl4_187
<=> ! [X0] :
( s_t(s(sK3,sK1),X0,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_187])]) ).
fof(f6706,plain,
( spl4_395
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ s_t(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_395])]) ).
fof(f7105,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1)) )
| ~ spl4_187
| ~ spl4_395 ),
inference(resolution,[],[f6707,f2029]) ).
fof(f2029,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),X0) )
| ~ spl4_187 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f6707,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3)
| ~ s_t(X4,X2,X3) )
| ~ spl4_395 ),
inference(avatar_component_clause,[],[f6706]) ).
fof(f39273,plain,
( spl4_1075
| ~ spl4_188
| ~ spl4_395 ),
inference(avatar_split_clause,[],[f7104,f6706,f2032,f39271]) ).
fof(f39271,plain,
( spl4_1075
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1075])]) ).
fof(f2032,plain,
( spl4_188
<=> ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_188])]) ).
fof(f7104,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(ext(X2,s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1)) )
| ~ spl4_188
| ~ spl4_395 ),
inference(resolution,[],[f6707,f2033]) ).
fof(f2033,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),X0) )
| ~ spl4_188 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f38761,plain,
( spl4_1074
| ~ spl4_123
| ~ spl4_553 ),
inference(avatar_split_clause,[],[f12446,f12035,f1223,f38759]) ).
fof(f38759,plain,
( spl4_1074
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X3)
| s_t(crossbar(X0,s(sK3,sK0),X1,X2,X3,X4),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1074])]) ).
fof(f12035,plain,
( spl4_553
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1))
| s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| ~ s_t(X5,X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_553])]) ).
fof(f12446,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X3)
| s_t(crossbar(X0,s(sK3,sK0),X1,X2,X3,X4),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_553 ),
inference(resolution,[],[f12036,f1224]) ).
fof(f12036,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X0,X5,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X5,X6,X3) )
| ~ spl4_553 ),
inference(avatar_component_clause,[],[f12035]) ).
fof(f38757,plain,
( spl4_1073
| ~ spl4_137
| ~ spl4_553 ),
inference(avatar_split_clause,[],[f12445,f12035,f1347,f38755]) ).
fof(f38755,plain,
( spl4_1073
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X3)
| s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1073])]) ).
fof(f12445,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X3)
| s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,X3,X4),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_553 ),
inference(resolution,[],[f12036,f1348]) ).
fof(f38753,plain,
( spl4_1072
| ~ spl4_123
| ~ spl4_552 ),
inference(avatar_split_clause,[],[f12305,f12031,f1223,f38751]) ).
fof(f38751,plain,
( spl4_1072
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,s(sK3,sK0),X3)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1072])]) ).
fof(f12031,plain,
( spl4_552
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1))
| s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| ~ s_t(X1,X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_552])]) ).
fof(f12305,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,s(sK3,sK0),X3)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_552 ),
inference(resolution,[],[f12032,f1224]) ).
fof(f12032,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X0,X5,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X1,X6,X4) )
| ~ spl4_552 ),
inference(avatar_component_clause,[],[f12031]) ).
fof(f38749,plain,
( ~ spl4_1071
| ~ spl4_32
| ~ spl4_739 ),
inference(avatar_split_clause,[],[f38622,f17900,f552,f38746]) ).
fof(f38746,plain,
( spl4_1071
<=> s_t(sK0,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1071])]) ).
fof(f17900,plain,
( spl4_739
<=> sameside(sK0,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_739])]) ).
fof(f38622,plain,
( ~ s_t(sK0,sK3,sK0)
| ~ spl4_32
| ~ spl4_739 ),
inference(resolution,[],[f17902,f553]) ).
fof(f17902,plain,
( sameside(sK0,sK3,sK0)
| ~ spl4_739 ),
inference(avatar_component_clause,[],[f17900]) ).
fof(f38744,plain,
( spl4_1070
| ~ spl4_137
| ~ spl4_552 ),
inference(avatar_split_clause,[],[f12304,f12031,f1347,f38742]) ).
fof(f38742,plain,
( spl4_1070
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,s(sK3,sK0),X3)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1070])]) ).
fof(f12304,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,s(sK3,sK0),X3)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),crossbar(X0,X1,X2,X3,X4,s(sK3,sK0)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_552 ),
inference(resolution,[],[f12032,f1348]) ).
fof(f38697,plain,
( spl4_1069
| spl4_172
| ~ spl4_123
| ~ spl4_498 ),
inference(avatar_split_clause,[],[f10561,f10257,f1223,f1800,f38695]) ).
fof(f38695,plain,
( spl4_1069
<=> ! [X0,X1] :
( X0 = X1
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1069])]) ).
fof(f1800,plain,
( spl4_172
<=> s(sK3,sK0) = s(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_172])]) ).
fof(f10257,plain,
( spl4_498
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| s_t(X3,X2,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_498])]) ).
fof(f10561,plain,
( ! [X0,X1] :
( s(sK3,sK0) = s(sK3,sK1)
| X0 = X1
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1))
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_498 ),
inference(resolution,[],[f10258,f1224]) ).
fof(f10258,plain,
( ! [X2,X3,X0,X1] :
( s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| X2 = X3
| X0 = X1
| s_t(X3,X2,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) )
| ~ spl4_498 ),
inference(avatar_component_clause,[],[f10257]) ).
fof(f38653,plain,
( spl4_1068
| spl4_172
| ~ spl4_137
| ~ spl4_498 ),
inference(avatar_split_clause,[],[f10560,f10257,f1347,f1800,f38651]) ).
fof(f38651,plain,
( spl4_1068
<=> ! [X0,X1] :
( X0 = X1
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1068])]) ).
fof(f10560,plain,
( ! [X0,X1] :
( s(sK3,sK0) = s(sK3,sK1)
| X0 = X1
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_498 ),
inference(resolution,[],[f10258,f1348]) ).
fof(f38649,plain,
( spl4_1067
| ~ spl4_187
| ~ spl4_454 ),
inference(avatar_split_clause,[],[f9186,f8797,f2028,f38647]) ).
fof(f38647,plain,
( spl4_1067
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(X3,X4,X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X1)
| s_t(s(sK3,sK1),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1067])]) ).
fof(f8797,plain,
( spl4_454
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X6,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_454])]) ).
fof(f9186,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(X3,X4,X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X1)
| s_t(s(sK3,sK1),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4)) )
| ~ spl4_187
| ~ spl4_454 ),
inference(resolution,[],[f8798,f2029]) ).
fof(f8798,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,X5,X3) )
| ~ spl4_454 ),
inference(avatar_component_clause,[],[f8797]) ).
fof(f38645,plain,
( spl4_1066
| ~ spl4_188
| ~ spl4_454 ),
inference(avatar_split_clause,[],[f9185,f8797,f2032,f38643]) ).
fof(f38643,plain,
( spl4_1066
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(X3,X4,X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X1)
| s_t(s(sK3,sK0),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1066])]) ).
fof(f9185,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(X3,X4,X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X1)
| s_t(s(sK3,sK0),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),crossbar(X3,s(sK3,sK1),X2,X0,X1,X4)) )
| ~ spl4_188
| ~ spl4_454 ),
inference(resolution,[],[f8798,f2033]) ).
fof(f38641,plain,
( spl4_1065
| ~ spl4_176
| ~ spl4_453 ),
inference(avatar_split_clause,[],[f9144,f8793,f1856,f38639]) ).
fof(f38639,plain,
( spl4_1065
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK2),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,X1,X0,s(sK3,sK2),X4))
| s_t(s(sK3,sK0),crossbar(X2,X3,X1,X0,s(sK3,sK2),X4),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1065])]) ).
fof(f8793,plain,
( spl4_453
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X6,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_453])]) ).
fof(f9144,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,s(sK3,sK2),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,X1,X0,s(sK3,sK2),X4))
| s_t(s(sK3,sK0),crossbar(X2,X3,X1,X0,s(sK3,sK2),X4),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_453 ),
inference(resolution,[],[f8794,f1857]) ).
fof(f8794,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,X5,X3) )
| ~ spl4_453 ),
inference(avatar_component_clause,[],[f8793]) ).
fof(f38637,plain,
( spl4_1064
| ~ spl4_187
| ~ spl4_450 ),
inference(avatar_split_clause,[],[f9058,f8781,f2028,f38635]) ).
fof(f38635,plain,
( spl4_1064
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1064])]) ).
fof(f8781,plain,
( spl4_450
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X6,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_450])]) ).
fof(f9058,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_450 ),
inference(resolution,[],[f8782,f2029]) ).
fof(f8782,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,X1,X4) )
| ~ spl4_450 ),
inference(avatar_component_clause,[],[f8781]) ).
fof(f38633,plain,
( spl4_1063
| ~ spl4_188
| ~ spl4_450 ),
inference(avatar_split_clause,[],[f9057,f8781,f2032,f38631]) ).
fof(f38631,plain,
( spl4_1063
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1063])]) ).
fof(f9057,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),crossbar(X3,X4,X2,X0,X1,s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_450 ),
inference(resolution,[],[f8782,f2033]) ).
fof(f38620,plain,
( spl4_1062
| ~ spl4_176
| ~ spl4_407 ),
inference(avatar_split_clause,[],[f7479,f7290,f1856,f38618]) ).
fof(f38618,plain,
( spl4_1062
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK2),X0)
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK2)))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK2)),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1062])]) ).
fof(f7290,plain,
( spl4_407
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X4,crossbar(X0,X5,X4,X2,X3,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_407])]) ).
fof(f7479,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK2),X0)
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK2)))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK2)),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_407 ),
inference(resolution,[],[f7291,f1857]) ).
fof(f7291,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X4,crossbar(X0,X5,X4,X2,X3,X1),X1)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2) )
| ~ spl4_407 ),
inference(avatar_component_clause,[],[f7290]) ).
fof(f38616,plain,
( spl4_1061
| ~ spl4_151
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1939,f1856,f1512,f38614]) ).
fof(f38614,plain,
( spl4_1061
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,s(sK3,sK2),X2,X3,s(sK3,sK0)))
| s_t(s(sK3,sK0),crossbar(X0,X1,s(sK3,sK2),X2,X3,s(sK3,sK0)),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK2))
| ~ s_t(X0,X1,s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1061])]) ).
fof(f1512,plain,
( spl4_151
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_151])]) ).
fof(f1939,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,X1,s(sK3,sK2),X2,X3,s(sK3,sK0)))
| s_t(s(sK3,sK0),crossbar(X0,X1,s(sK3,sK2),X2,X3,s(sK3,sK0)),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK2))
| ~ s_t(X0,X1,s(sK3,sK2)) )
| ~ spl4_151
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1513]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_151 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f38450,plain,
( spl4_1060
| ~ spl4_2
| ~ spl4_46
| ~ spl4_474 ),
inference(avatar_split_clause,[],[f9637,f9451,f621,f417,f38447]) ).
fof(f38447,plain,
( spl4_1060
<=> ins(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),s(sK3,sK2)) = ext(s(sK3,sK1),s(sK3,sK2),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1060])]) ).
fof(f621,plain,
( spl4_46
<=> s_col(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f9451,plain,
( spl4_474
<=> ! [X2,X0,X1] :
( ins(X0,X1,X2,X1) = ext(X2,X1,ext(ext(X1,X0,alpha,gamma),X0,X2,X1),X1)
| ~ s_t(X0,X2,X1)
| ~ s_col(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_474])]) ).
fof(f9637,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
| ins(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),s(sK3,sK2)) = ext(s(sK3,sK1),s(sK3,sK2),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)),s(sK3,sK2))
| ~ spl4_46
| ~ spl4_474 ),
inference(resolution,[],[f9452,f623]) ).
fof(f623,plain,
( s_col(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f9452,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X2,X1)
| ~ s_t(X0,X2,X1)
| ins(X0,X1,X2,X1) = ext(X2,X1,ext(ext(X1,X0,alpha,gamma),X0,X2,X1),X1) )
| ~ spl4_474 ),
inference(avatar_component_clause,[],[f9451]) ).
fof(f38445,plain,
( spl4_1059
| ~ spl4_176
| ~ spl4_328 ),
inference(avatar_split_clause,[],[f5283,f4964,f1856,f38443]) ).
fof(f38443,plain,
( spl4_1059
<=> ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK2),s(sK3,sK0))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK0),s(sK3,sK2),alpha,gamma),s(sK3,sK2),X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK0),s(sK3,sK2),alpha,gamma),s(sK3,sK2),X0,X1),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1059])]) ).
fof(f4964,plain,
( spl4_328
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X3,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_328])]) ).
fof(f5283,plain,
( ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK2),s(sK3,sK0))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK0),s(sK3,sK2),alpha,gamma),s(sK3,sK2),X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK0),s(sK3,sK2),alpha,gamma),s(sK3,sK2),X0,X1),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_328 ),
inference(resolution,[],[f4965,f1857]) ).
fof(f4965,plain,
( ! [X2,X3,X0,X1] :
( s_t(X3,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_328 ),
inference(avatar_component_clause,[],[f4964]) ).
fof(f38441,plain,
( spl4_1058
| ~ spl4_132
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1936,f1856,f1276,f38439]) ).
fof(f38439,plain,
( spl4_1058
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1058])]) ).
fof(f1276,plain,
( spl4_132
<=> ! [X0,X3,X2,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_132])]) ).
fof(f1936,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_132
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1277]) ).
fof(f1277,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_132 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f38403,plain,
( spl4_739
| spl4_668
| ~ spl4_710 ),
inference(avatar_split_clause,[],[f17520,f17075,f16437,f17900]) ).
fof(f16437,plain,
( spl4_668
<=> s_t(sK0,sK3,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_668])]) ).
fof(f17075,plain,
( spl4_710
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_710])]) ).
fof(f17520,plain,
( sameside(sK0,sK3,sK0)
| spl4_668
| ~ spl4_710 ),
inference(resolution,[],[f17076,f16438]) ).
fof(f16438,plain,
( ~ s_t(sK0,sK3,xb)
| spl4_668 ),
inference(avatar_component_clause,[],[f16437]) ).
fof(f17076,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X0,X1,X0) )
| ~ spl4_710 ),
inference(avatar_component_clause,[],[f17075]) ).
fof(f37342,plain,
( spl4_1057
| ~ spl4_42
| ~ spl4_640 ),
inference(avatar_split_clause,[],[f16876,f16093,f594,f37339]) ).
fof(f37339,plain,
( spl4_1057
<=> s_col(xb,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1057])]) ).
fof(f16093,plain,
( spl4_640
<=> s_col(xb,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_640])]) ).
fof(f16876,plain,
( s_col(xb,sK0,sK3)
| ~ spl4_42
| ~ spl4_640 ),
inference(resolution,[],[f16095,f595]) ).
fof(f16095,plain,
( s_col(xb,sK3,sK0)
| ~ spl4_640 ),
inference(avatar_component_clause,[],[f16093]) ).
fof(f36851,plain,
( spl4_1056
| ~ spl4_41
| ~ spl4_640 ),
inference(avatar_split_clause,[],[f16875,f16093,f590,f36848]) ).
fof(f36848,plain,
( spl4_1056
<=> s_col(sK3,xb,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1056])]) ).
fof(f16875,plain,
( s_col(sK3,xb,sK0)
| ~ spl4_41
| ~ spl4_640 ),
inference(resolution,[],[f16095,f591]) ).
fof(f36371,plain,
( spl4_1055
| ~ spl4_40
| ~ spl4_640 ),
inference(avatar_split_clause,[],[f16874,f16093,f584,f36368]) ).
fof(f36368,plain,
( spl4_1055
<=> s_col(sK0,sK3,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1055])]) ).
fof(f16874,plain,
( s_col(sK0,sK3,xb)
| ~ spl4_40
| ~ spl4_640 ),
inference(resolution,[],[f16095,f585]) ).
fof(f34529,plain,
( spl4_1054
| ~ spl4_709
| spl4_1021 ),
inference(avatar_split_clause,[],[f31856,f27857,f17071,f34526]) ).
fof(f17071,plain,
( spl4_709
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_709])]) ).
fof(f27857,plain,
( spl4_1021
<=> s_t(sK2,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1021])]) ).
fof(f31856,plain,
( sameside(sK3,sK2,sK3)
| ~ spl4_709
| spl4_1021 ),
inference(resolution,[],[f27859,f17072]) ).
fof(f17072,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X1,X0,X1) )
| ~ spl4_709 ),
inference(avatar_component_clause,[],[f17071]) ).
fof(f27859,plain,
( ~ s_t(sK2,sK3,sK0)
| spl4_1021 ),
inference(avatar_component_clause,[],[f27857]) ).
fof(f34262,plain,
( spl4_172
| spl4_1053
| ~ spl4_46
| ~ spl4_165 ),
inference(avatar_split_clause,[],[f1713,f1708,f621,f34260,f1800]) ).
fof(f34260,plain,
( spl4_1053
<=> ! [X0,X3,X2,X1] :
( ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK2))
| s_col(s(sK3,sK0),s(sK3,sK1),X2)
| s(sK3,sK2) = X3
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1053])]) ).
fof(f1708,plain,
( spl4_165
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_165])]) ).
fof(f1713,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,X2)
| s(sK3,sK2) = X3
| s_col(s(sK3,sK0),s(sK3,sK1),X2)
| ~ s_col(X0,X1,s(sK3,sK2))
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X3)
| ~ s_col(X0,X1,X3)
| s(sK3,sK0) = s(sK3,sK1)
| X0 = X1 )
| ~ spl4_46
| ~ spl4_165 ),
inference(resolution,[],[f1709,f623]) ).
fof(f1709,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X6)
| X4 = X5
| s_col(X2,X3,X6)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 )
| ~ spl4_165 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f34180,plain,
( spl4_1052
| ~ spl4_710
| spl4_1021 ),
inference(avatar_split_clause,[],[f31855,f27857,f17075,f34177]) ).
fof(f31855,plain,
( sameside(sK2,sK3,sK2)
| ~ spl4_710
| spl4_1021 ),
inference(resolution,[],[f27859,f17076]) ).
fof(f34173,plain,
( spl4_158
| spl4_1050
| spl4_172
| spl4_1051
| ~ spl4_46
| ~ spl4_162 ),
inference(avatar_split_clause,[],[f1680,f1675,f621,f34170,f1800,f34167,f1632]) ).
fof(f1632,plain,
( spl4_158
<=> s(sK3,sK1) = s(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_158])]) ).
fof(f34167,plain,
( spl4_1050
<=> ! [X0] :
( sameside(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1050])]) ).
fof(f34170,plain,
( spl4_1051
<=> sameside(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1051])]) ).
fof(f1675,plain,
( spl4_162
<=> ! [X0,X3,X2,X1] :
( sameside(X3,X0,X2)
| sameside(X3,X0,X1)
| X0 = X3
| ~ s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_162])]) ).
fof(f1680,plain,
( ! [X0] :
( sameside(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK0) = s(sK3,sK1)
| sameside(s(sK3,sK0),s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0)
| s(sK3,sK1) = X0
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_46
| ~ spl4_162 ),
inference(resolution,[],[f1676,f623]) ).
fof(f1676,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X3,X0,X1)
| sameside(X3,X0,X1)
| X0 = X3
| sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 )
| ~ spl4_162 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f33853,plain,
( ~ spl4_1049
| ~ spl4_32
| ~ spl4_1019 ),
inference(avatar_split_clause,[],[f31091,f26513,f552,f33850]) ).
fof(f33850,plain,
( spl4_1049
<=> s_t(sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1049])]) ).
fof(f26513,plain,
( spl4_1019
<=> sameside(sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1019])]) ).
fof(f31091,plain,
( ~ s_t(sK2,sK1,sK2)
| ~ spl4_32
| ~ spl4_1019 ),
inference(resolution,[],[f26515,f553]) ).
fof(f26515,plain,
( sameside(sK2,sK1,sK2)
| ~ spl4_1019 ),
inference(avatar_component_clause,[],[f26513]) ).
fof(f33504,plain,
( spl4_172
| spl4_1048
| spl4_273
| ~ spl4_46
| ~ spl4_492 ),
inference(avatar_split_clause,[],[f10207,f10076,f621,f3534,f33502,f1800]) ).
fof(f33502,plain,
( spl4_1048
<=> ! [X2,X0,X1] :
( s_col(s(sK3,sK0),s(sK3,sK1),X0)
| X1 = X2
| ~ s_col(X1,X2,s(sK3,sK2))
| ~ s_col(X1,X2,s(sK3,sK0))
| ~ s_col(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1048])]) ).
fof(f3534,plain,
( spl4_273
<=> s(sK3,sK0) = s(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_273])]) ).
fof(f10076,plain,
( spl4_492
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_col(X0,X1,X2)
| X3 = X4
| s_col(X4,X5,X2)
| ~ s_col(X0,X1,X4)
| ~ s_col(X4,X5,X3)
| ~ s_col(X0,X1,X3)
| X4 = X5
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_492])]) ).
fof(f10207,plain,
( ! [X2,X0,X1] :
( s(sK3,sK0) = s(sK3,sK2)
| s_col(s(sK3,sK0),s(sK3,sK1),X0)
| ~ s_col(X1,X2,s(sK3,sK0))
| ~ s_col(X1,X2,X0)
| ~ s_col(X1,X2,s(sK3,sK2))
| s(sK3,sK0) = s(sK3,sK1)
| X1 = X2 )
| ~ spl4_46
| ~ spl4_492 ),
inference(resolution,[],[f10077,f623]) ).
fof(f10077,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_col(X4,X5,X3)
| X3 = X4
| s_col(X4,X5,X2)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| X4 = X5
| X0 = X1 )
| ~ spl4_492 ),
inference(avatar_component_clause,[],[f10076]) ).
fof(f33500,plain,
( spl4_1047
| ~ spl4_186
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3358,f3265,f2023,f33498]) ).
fof(f33498,plain,
( spl4_1047
<=> ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK2))
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1047])]) ).
fof(f2023,plain,
( spl4_186
<=> ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_186])]) ).
fof(f3265,plain,
( spl4_247
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(ins(X2,X3,X0,X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_247])]) ).
fof(f3358,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK2))
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_247 ),
inference(resolution,[],[f3266,f2024]) ).
fof(f2024,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f3266,plain,
( ! [X2,X3,X0,X1] :
( s_t(ins(X2,X3,X0,X1),X1,X0)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_247 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f33496,plain,
( spl4_1046
| spl4_584
| ~ spl4_710 ),
inference(avatar_split_clause,[],[f17522,f17075,f14885,f33493]) ).
fof(f33493,plain,
( spl4_1046
<=> sameside(sK0,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1046])]) ).
fof(f14885,plain,
( spl4_584
<=> s_t(sK0,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_584])]) ).
fof(f17522,plain,
( sameside(sK0,sK2,sK0)
| spl4_584
| ~ spl4_710 ),
inference(resolution,[],[f17076,f14887]) ).
fof(f14887,plain,
( ~ s_t(sK0,sK2,sK0)
| spl4_584 ),
inference(avatar_component_clause,[],[f14885]) ).
fof(f32766,plain,
( spl4_1045
| ~ spl4_199
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3359,f3265,f2196,f32764]) ).
fof(f32764,plain,
( spl4_1045
<=> ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK1),X0,X1)
| s(sK3,sK1) = ins(X0,X1,s(sK3,sK2),s(sK3,sK1))
| sameside(ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1045])]) ).
fof(f2196,plain,
( spl4_199
<=> ! [X0] :
( sameside(X0,s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK1) = X0
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_199])]) ).
fof(f3359,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK1),X0,X1)
| s(sK3,sK1) = ins(X0,X1,s(sK3,sK2),s(sK3,sK1))
| sameside(ins(X0,X1,s(sK3,sK2),s(sK3,sK1)),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_247 ),
inference(resolution,[],[f3266,f2197]) ).
fof(f2197,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = X0
| sameside(X0,s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f32762,plain,
( spl4_1044
| ~ spl4_186
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2886,f2768,f2023,f32760]) ).
fof(f32760,plain,
( spl4_1044
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK1),s(sK3,sK2))
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1044])]) ).
fof(f2768,plain,
( spl4_228
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(c63(X0,X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_228])]) ).
fof(f2886,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK1),s(sK3,sK2))
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_228 ),
inference(resolution,[],[f2769,f2024]) ).
fof(f2769,plain,
( ! [X2,X0,X1] :
( s_t(c63(X0,X1,X2),X1,X2)
| ~ sameside(X0,X1,X2) )
| ~ spl4_228 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f32758,plain,
( spl4_1043
| ~ spl4_186
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2821,f2752,f2023,f32756]) ).
fof(f32756,plain,
( spl4_1043
<=> ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1043])]) ).
fof(f2752,plain,
( spl4_224
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(c63(X0,X1,X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_224])]) ).
fof(f2821,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_224 ),
inference(resolution,[],[f2753,f2024]) ).
fof(f2753,plain,
( ! [X2,X0,X1] :
( s_t(c63(X0,X1,X2),X1,X0)
| ~ sameside(X0,X1,X2) )
| ~ spl4_224 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f32361,plain,
( spl4_158
| spl4_172
| spl4_1042
| ~ spl4_65
| ~ spl4_554 ),
inference(avatar_split_clause,[],[f12539,f12502,f776,f32359,f1800,f1632]) ).
fof(f32359,plain,
( spl4_1042
<=> ! [X0] :
( sameside(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(X0,sK1,sK0)
| s(sK3,sK1) = s(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1042])]) ).
fof(f776,plain,
( spl4_65
<=> s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f12502,plain,
( spl4_554
<=> ! [X4,X0,X3,X2,X1] :
( sameside(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X0,s(X1,X2),s(X1,X4))
| s(X1,X2) = s(X1,X4)
| s(X1,X2) = s(X1,X3)
| s(X1,X2) = X0
| ~ s_t(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_554])]) ).
fof(f12539,plain,
( ! [X0] :
( sameside(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| s(sK3,sK0) = s(sK3,sK1)
| s(sK3,sK1) = s(sK3,X0)
| s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(X0,sK1,sK0) )
| ~ spl4_65
| ~ spl4_554 ),
inference(resolution,[],[f12503,f778]) ).
fof(f778,plain,
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0))
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f12503,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,s(X1,X2),s(X1,X4))
| sameside(X0,s(X1,X2),s(X1,X3))
| s(X1,X2) = s(X1,X4)
| s(X1,X2) = s(X1,X3)
| s(X1,X2) = X0
| ~ s_t(X3,X2,X4) )
| ~ spl4_554 ),
inference(avatar_component_clause,[],[f12502]) ).
fof(f32357,plain,
( spl4_1041
| ~ spl4_199
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2887,f2768,f2196,f32355]) ).
fof(f32355,plain,
( spl4_1041
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = c63(X0,s(sK3,sK1),s(sK3,sK2))
| sameside(c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1041])]) ).
fof(f2887,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = c63(X0,s(sK3,sK1),s(sK3,sK2))
| sameside(c63(X0,s(sK3,sK1),s(sK3,sK2)),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_228 ),
inference(resolution,[],[f2769,f2197]) ).
fof(f32353,plain,
( spl4_1040
| ~ spl4_199
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2822,f2752,f2196,f32351]) ).
fof(f32351,plain,
( spl4_1040
<=> ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK1),X0)
| s(sK3,sK1) = c63(s(sK3,sK2),s(sK3,sK1),X0)
| sameside(c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1040])]) ).
fof(f2822,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK1),X0)
| s(sK3,sK1) = c63(s(sK3,sK2),s(sK3,sK1),X0)
| sameside(c63(s(sK3,sK2),s(sK3,sK1),X0),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_224 ),
inference(resolution,[],[f2753,f2197]) ).
fof(f32272,plain,
( spl4_172
| spl4_273
| spl4_1039
| ~ spl4_145
| ~ spl4_174 ),
inference(avatar_split_clause,[],[f1910,f1811,f1459,f32270,f3534,f1800]) ).
fof(f32270,plain,
( spl4_1039
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK0),X0)
| s(sK3,sK0) = X0
| ~ s_t(s(sK3,sK1),s(sK3,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1039])]) ).
fof(f1459,plain,
( spl4_145
<=> ! [X0,X3,X2,X1] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_145])]) ).
fof(f1811,plain,
( spl4_174
<=> sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_174])]) ).
fof(f1910,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK1),s(sK3,sK0),X0)
| s(sK3,sK0) = X0
| s(sK3,sK0) = s(sK3,sK2)
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_145
| ~ spl4_174 ),
inference(resolution,[],[f1813,f1460]) ).
fof(f1460,plain,
( ! [X2,X3,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 )
| ~ spl4_145 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1813,plain,
( sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_174 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f32231,plain,
( spl4_158
| spl4_172
| spl4_1038
| ~ spl4_65
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1475,f1455,f776,f32229,f1800,f1632]) ).
fof(f32229,plain,
( spl4_1038
<=> ! [X0] :
( sameside(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = X0
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1038])]) ).
fof(f1455,plain,
( spl4_144
<=> ! [X0,X3,X2,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_144])]) ).
fof(f1475,plain,
( ! [X0] :
( sameside(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK0) = s(sK3,sK1)
| s(sK3,sK1) = s(sK3,sK2)
| s(sK3,sK1) = X0 )
| ~ spl4_65
| ~ spl4_144 ),
inference(resolution,[],[f1456,f778]) ).
fof(f1456,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X2,X1,X3)
| sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 )
| ~ spl4_144 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f31298,plain,
( spl4_1037
| ~ spl4_186
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2240,f2036,f2023,f31296]) ).
fof(f31296,plain,
( spl4_1037
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1037])]) ).
fof(f2036,plain,
( spl4_189
<=> ! [X0,X3,X2,X1] : s_t(ext(X0,X1,X2,X3),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_189])]) ).
fof(f2240,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_189 ),
inference(resolution,[],[f2024,f2037]) ).
fof(f2037,plain,
( ! [X2,X3,X0,X1] : s_t(ext(X0,X1,X2,X3),X1,X0)
| ~ spl4_189 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f31264,plain,
( spl4_172
| spl4_1036
| ~ spl4_46
| ~ spl4_149 ),
inference(avatar_split_clause,[],[f1525,f1504,f621,f31262,f1800]) ).
fof(f31262,plain,
( spl4_1036
<=> ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK2))
| X0 = X1
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0)
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1036])]) ).
fof(f1504,plain,
( spl4_149
<=> ! [X2,X4,X0,X3,X1] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_149])]) ).
fof(f1525,plain,
( ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK2))
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X1)
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK0) = s(sK3,sK1)
| X0 = X1 )
| ~ spl4_46
| ~ spl4_149 ),
inference(resolution,[],[f1505,f623]) ).
fof(f1505,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_col(X2,X3,X4)
| s_col(X0,X1,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 )
| ~ spl4_149 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f31046,plain,
( spl4_172
| spl4_1035
| ~ spl4_65
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1391,f1375,f776,f31044,f1800]) ).
fof(f31044,plain,
( spl4_1035
<=> ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0))
| s_t(X0,s(sK3,sK2),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1035])]) ).
fof(f1375,plain,
( spl4_138
<=> ! [X0,X3,X2,X1] :
( s_t(X2,X3,X1)
| s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_138])]) ).
fof(f1391,plain,
( ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| s_t(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_65
| ~ spl4_138 ),
inference(resolution,[],[f1376,f778]) ).
fof(f1376,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X3,X0,X1)
| s_t(X3,X2,X1)
| s_t(X2,X3,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 )
| ~ spl4_138 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f30732,plain,
( ~ spl4_1034
| ~ spl4_925
| spl4_1016 ),
inference(avatar_split_clause,[],[f26497,f26490,f21908,f30729]) ).
fof(f30729,plain,
( spl4_1034
<=> s_t(sK2,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1034])]) ).
fof(f21908,plain,
( spl4_925
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,s(X2,X1),s(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_925])]) ).
fof(f26490,plain,
( spl4_1016
<=> s_t(sK3,s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1016])]) ).
fof(f26497,plain,
( ~ s_t(sK2,sK0,sK3)
| ~ spl4_925
| spl4_1016 ),
inference(resolution,[],[f26491,f21909]) ).
fof(f21909,plain,
( ! [X2,X0,X1] :
( s_t(X2,s(X2,X1),s(X2,X0))
| ~ s_t(X0,X1,X2) )
| ~ spl4_925 ),
inference(avatar_component_clause,[],[f21908]) ).
fof(f26491,plain,
( ~ s_t(sK3,s(sK3,sK0),s(sK3,sK2))
| spl4_1016 ),
inference(avatar_component_clause,[],[f26490]) ).
fof(f30686,plain,
( spl4_1033
| ~ spl4_189
| ~ spl4_199 ),
inference(avatar_split_clause,[],[f2235,f2196,f2036,f30684]) ).
fof(f30684,plain,
( spl4_1033
<=> ! [X0,X1] :
( s(sK3,sK1) = ext(s(sK3,sK2),s(sK3,sK1),X0,X1)
| sameside(ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1033])]) ).
fof(f2235,plain,
( ! [X0,X1] :
( s(sK3,sK1) = ext(s(sK3,sK2),s(sK3,sK1),X0,X1)
| sameside(ext(s(sK3,sK2),s(sK3,sK1),X0,X1),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_189
| ~ spl4_199 ),
inference(resolution,[],[f2197,f2037]) ).
fof(f30652,plain,
( spl4_172
| spl4_1032
| ~ spl4_46
| ~ spl4_349 ),
inference(avatar_split_clause,[],[f5829,f5368,f621,f30650,f1800]) ).
fof(f30650,plain,
( spl4_1032
<=> ! [X0] :
( s_col(X0,s(sK3,sK2),s(sK3,sK0))
| s(sK3,sK2) = X0
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1032])]) ).
fof(f5368,plain,
( spl4_349
<=> ! [X0,X3,X2,X1] :
( s_col(X0,X1,X2)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_349])]) ).
fof(f5829,plain,
( ! [X0] :
( s_col(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK0) = s(sK3,sK1)
| s(sK3,sK2) = X0 )
| ~ spl4_46
| ~ spl4_349 ),
inference(resolution,[],[f5369,f623]) ).
fof(f5369,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X2,X3,X1)
| s_col(X0,X1,X2)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 )
| ~ spl4_349 ),
inference(avatar_component_clause,[],[f5368]) ).
fof(f30585,plain,
( spl4_172
| spl4_1031
| ~ spl4_2
| ~ spl4_347 ),
inference(avatar_split_clause,[],[f5783,f5357,f417,f30583,f1800]) ).
fof(f30583,plain,
( spl4_1031
<=> ! [X0] : s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1031])]) ).
fof(f5357,plain,
( spl4_347
<=> ! [X0,X3,X2,X1] :
( ext(X0,X1,s(X2,X1),s(X2,X3)) = X3
| ~ s_t(X0,X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_347])]) ).
fof(f5783,plain,
( ! [X0] :
( s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK2)))
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_2
| ~ spl4_347 ),
inference(resolution,[],[f5358,f419]) ).
fof(f5358,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X3)
| ext(X0,X1,s(X2,X1),s(X2,X3)) = X3
| X0 = X1 )
| ~ spl4_347 ),
inference(avatar_component_clause,[],[f5357]) ).
fof(f30533,plain,
( spl4_273
| spl4_1030
| ~ spl4_135
| ~ spl4_174 ),
inference(avatar_split_clause,[],[f1909,f1811,f1339,f30531,f3534]) ).
fof(f30531,plain,
( spl4_1030
<=> ! [X0] :
( s_col(s(sK3,sK1),s(sK3,sK0),X0)
| s(sK3,sK0) = X0
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1030])]) ).
fof(f1339,plain,
( spl4_135
<=> ! [X0,X3,X2,X1] :
( s_col(X3,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_135])]) ).
fof(f1909,plain,
( ! [X0] :
( s_col(s(sK3,sK1),s(sK3,sK0),X0)
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s(sK3,sK0) = s(sK3,sK2)
| s(sK3,sK0) = X0 )
| ~ spl4_135
| ~ spl4_174 ),
inference(resolution,[],[f1813,f1340]) ).
fof(f1340,plain,
( ! [X2,X3,X0,X1] :
( ~ sameside(X3,X0,X2)
| s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 )
| ~ spl4_135 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f30499,plain,
( spl4_172
| spl4_1029
| ~ spl4_46
| ~ spl4_134 ),
inference(avatar_split_clause,[],[f1358,f1335,f621,f30497,f1800]) ).
fof(f30497,plain,
( spl4_1029
<=> ! [X0] :
( s_col(s(sK3,sK0),X0,s(sK3,sK2))
| s(sK3,sK0) = X0
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1029])]) ).
fof(f1335,plain,
( spl4_134
<=> ! [X0,X3,X2,X1] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_134])]) ).
fof(f1358,plain,
( ! [X0] :
( s_col(s(sK3,sK0),X0,s(sK3,sK2))
| ~ s_col(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK0) = X0
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_46
| ~ spl4_134 ),
inference(resolution,[],[f1336,f623]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,X3)
| s_col(X0,X2,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 )
| ~ spl4_134 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f30495,plain,
( ~ spl4_1028
| ~ spl4_264
| spl4_1014 ),
inference(avatar_split_clause,[],[f26102,f26075,f3442,f30492]) ).
fof(f30492,plain,
( spl4_1028
<=> s_t(sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1028])]) ).
fof(f26075,plain,
( spl4_1014
<=> s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1014])]) ).
fof(f26102,plain,
( ~ s_t(sK1,sK2,sK1)
| ~ spl4_264
| spl4_1014 ),
inference(resolution,[],[f26076,f3443]) ).
fof(f26076,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK1))
| spl4_1014 ),
inference(avatar_component_clause,[],[f26075]) ).
fof(f30048,plain,
( ~ spl4_1027
| ~ spl4_242
| spl4_598 ),
inference(avatar_split_clause,[],[f26028,f15529,f2996,f30045]) ).
fof(f30045,plain,
( spl4_1027
<=> s_t(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1027])]) ).
fof(f2996,plain,
( spl4_242
<=> ! [X2,X0,X1] :
( s_t(s(X0,X1),s(X0,X2),X0)
| ~ s_t(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_242])]) ).
fof(f15529,plain,
( spl4_598
<=> s_t(s(sK3,sK0),s(sK3,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_598])]) ).
fof(f26028,plain,
( ~ s_t(sK0,sK2,sK3)
| ~ spl4_242
| spl4_598 ),
inference(resolution,[],[f15530,f2997]) ).
fof(f2997,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X1),s(X0,X2),X0)
| ~ s_t(X1,X2,X0) )
| ~ spl4_242 ),
inference(avatar_component_clause,[],[f2996]) ).
fof(f15530,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK2),sK3)
| spl4_598 ),
inference(avatar_component_clause,[],[f15529]) ).
fof(f29107,plain,
( ~ spl4_1026
| spl4_598
| ~ spl4_912 ),
inference(avatar_split_clause,[],[f26027,f21847,f15529,f29104]) ).
fof(f29104,plain,
( spl4_1026
<=> s_t(sK3,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1026])]) ).
fof(f21847,plain,
( spl4_912
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X0,X2),s(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_912])]) ).
fof(f26027,plain,
( ~ s_t(sK3,sK2,sK0)
| spl4_598
| ~ spl4_912 ),
inference(resolution,[],[f15530,f21848]) ).
fof(f21848,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X2),s(X0,X1),X0)
| ~ s_t(X0,X1,X2) )
| ~ spl4_912 ),
inference(avatar_component_clause,[],[f21847]) ).
fof(f28172,plain,
( spl4_172
| spl4_1025
| ~ spl4_2
| ~ spl4_281 ),
inference(avatar_split_clause,[],[f4175,f3578,f417,f28169,f1800]) ).
fof(f28169,plain,
( spl4_1025
<=> s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1025])]) ).
fof(f4175,plain,
( s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK0) = s(sK3,sK1)
| ~ spl4_2
| ~ spl4_281 ),
inference(resolution,[],[f3579,f419]) ).
fof(f28165,plain,
( ~ spl4_330
| ~ spl4_21
| spl4_329
| ~ spl4_475 ),
inference(avatar_split_clause,[],[f25820,f9476,f5229,f500,f5233]) ).
fof(f5233,plain,
( spl4_330
<=> s_t(sK3,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_330])]) ).
fof(f500,plain,
( spl4_21
<=> ! [X1] : s(X1,X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f5229,plain,
( spl4_329
<=> s_t(sK3,s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_329])]) ).
fof(f9476,plain,
( spl4_475
<=> ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK2)
| s_t(X0,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_475])]) ).
fof(f25820,plain,
( ~ s_t(sK3,sK0,sK2)
| ~ spl4_21
| spl4_329
| ~ spl4_475 ),
inference(forward_demodulation,[],[f23764,f501]) ).
fof(f501,plain,
( ! [X1] : s(X1,X1) = X1
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f23764,plain,
( ~ s_t(s(sK3,sK3),sK0,sK2)
| spl4_329
| ~ spl4_475 ),
inference(resolution,[],[f5230,f9477]) ).
fof(f9477,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(s(sK3,X0),sK0,sK2) )
| ~ spl4_475 ),
inference(avatar_component_clause,[],[f9476]) ).
fof(f5230,plain,
( ~ s_t(sK3,s(sK3,sK0),s(sK3,sK1))
| spl4_329 ),
inference(avatar_component_clause,[],[f5229]) ).
fof(f28107,plain,
( spl4_172
| spl4_1024
| ~ spl4_2
| ~ spl4_280 ),
inference(avatar_split_clause,[],[f4146,f3574,f417,f28104,f1800]) ).
fof(f28104,plain,
( spl4_1024
<=> s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1024])]) ).
fof(f4146,plain,
( s(sK3,sK2) = ext(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),s(sK3,sK1))
| s(sK3,sK0) = s(sK3,sK1)
| ~ spl4_2
| ~ spl4_280 ),
inference(resolution,[],[f3575,f419]) ).
fof(f28102,plain,
( spl4_1023
| ~ spl4_24
| ~ spl4_186
| ~ spl4_267 ),
inference(avatar_split_clause,[],[f3931,f3454,f2023,f513,f28100]) ).
fof(f28100,plain,
( spl4_1023
<=> ! [X0] :
( ~ s_t(X0,sK1,sK2)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1023])]) ).
fof(f3454,plain,
( spl4_267
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X2,X3,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_267])]) ).
fof(f3931,plain,
( ! [X0] :
( ~ s_t(X0,sK1,sK2)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_24
| ~ spl4_186
| ~ spl4_267 ),
inference(forward_demodulation,[],[f3889,f514]) ).
fof(f3889,plain,
( ! [X0] :
( ~ s_t(X0,sK1,s(sK3,s(sK3,sK2)))
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_267 ),
inference(resolution,[],[f3455,f2024]) ).
fof(f3455,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X2,X3,s(X0,X1)) )
| ~ spl4_267 ),
inference(avatar_component_clause,[],[f3454]) ).
fof(f28098,plain,
( spl4_1022
| ~ spl4_186
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3750,f3442,f2023,f28096]) ).
fof(f28096,plain,
( spl4_1022
<=> ! [X0] :
( ~ s_t(sK2,sK1,X0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1022])]) ).
fof(f3750,plain,
( ! [X0] :
( ~ s_t(sK2,sK1,X0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_264 ),
inference(resolution,[],[f3443,f2024]) ).
fof(f27860,plain,
( ~ spl4_1021
| spl4_359
| ~ spl4_919 ),
inference(avatar_split_clause,[],[f23449,f21884,f5890,f27857]) ).
fof(f5890,plain,
( spl4_359
<=> s_t(s(sK3,sK0),sK3,s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_359])]) ).
fof(f21884,plain,
( spl4_919
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X1,X2),X1,s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_919])]) ).
fof(f23449,plain,
( ~ s_t(sK2,sK3,sK0)
| spl4_359
| ~ spl4_919 ),
inference(resolution,[],[f21885,f5891]) ).
fof(f5891,plain,
( ~ s_t(s(sK3,sK0),sK3,s(sK3,sK2))
| spl4_359 ),
inference(avatar_component_clause,[],[f5890]) ).
fof(f21885,plain,
( ! [X2,X0,X1] :
( s_t(s(X1,X2),X1,s(X1,X0))
| ~ s_t(X0,X1,X2) )
| ~ spl4_919 ),
inference(avatar_component_clause,[],[f21884]) ).
fof(f27426,plain,
( spl4_1020
| spl4_400
| ~ spl4_710 ),
inference(avatar_split_clause,[],[f17525,f17075,f6894,f27423]) ).
fof(f27423,plain,
( spl4_1020
<=> sameside(sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1020])]) ).
fof(f6894,plain,
( spl4_400
<=> s_t(sK1,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_400])]) ).
fof(f17525,plain,
( sameside(sK1,sK2,sK1)
| spl4_400
| ~ spl4_710 ),
inference(resolution,[],[f17076,f6896]) ).
fof(f6896,plain,
( ~ s_t(sK1,sK2,sK0)
| spl4_400 ),
inference(avatar_component_clause,[],[f6894]) ).
fof(f26516,plain,
( spl4_1019
| spl4_400
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17327,f17071,f6894,f26513]) ).
fof(f17327,plain,
( sameside(sK2,sK1,sK2)
| spl4_400
| ~ spl4_709 ),
inference(resolution,[],[f17072,f6896]) ).
fof(f26511,plain,
( spl4_1018
| ~ spl4_24
| ~ spl4_199
| ~ spl4_267 ),
inference(avatar_split_clause,[],[f3932,f3454,f2196,f513,f26509]) ).
fof(f26509,plain,
( spl4_1018
<=> ! [X0] :
( ~ s_t(X0,sK1,sK2)
| s(sK3,sK1) = s(sK3,X0)
| sameside(s(sK3,X0),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1018])]) ).
fof(f3932,plain,
( ! [X0] :
( ~ s_t(X0,sK1,sK2)
| s(sK3,sK1) = s(sK3,X0)
| sameside(s(sK3,X0),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_24
| ~ spl4_199
| ~ spl4_267 ),
inference(forward_demodulation,[],[f3890,f514]) ).
fof(f3890,plain,
( ! [X0] :
( ~ s_t(X0,sK1,s(sK3,s(sK3,sK2)))
| s(sK3,sK1) = s(sK3,X0)
| sameside(s(sK3,X0),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_267 ),
inference(resolution,[],[f3455,f2197]) ).
fof(f26507,plain,
( spl4_1017
| ~ spl4_199
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3751,f3442,f2196,f26505]) ).
fof(f26505,plain,
( spl4_1017
<=> ! [X0] :
( ~ s_t(sK2,sK1,X0)
| s(sK3,sK1) = s(sK3,X0)
| sameside(s(sK3,X0),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1017])]) ).
fof(f3751,plain,
( ! [X0] :
( ~ s_t(sK2,sK1,X0)
| s(sK3,sK1) = s(sK3,X0)
| sameside(s(sK3,X0),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_264 ),
inference(resolution,[],[f3443,f2197]) ).
fof(f26493,plain,
( spl4_1016
| spl4_359
| ~ spl4_595
| ~ spl4_186
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3144,f2988,f2023,f15419,f5890,f26490]) ).
fof(f15419,plain,
( spl4_595
<=> s_t(sK3,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_595])]) ).
fof(f2988,plain,
( spl4_240
<=> ! [X2,X0,X1] :
( s_t(X0,s(X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_240])]) ).
fof(f3144,plain,
( ~ s_t(sK3,sK1,sK2)
| s_t(s(sK3,sK0),sK3,s(sK3,sK2))
| s_t(sK3,s(sK3,sK0),s(sK3,sK2))
| ~ spl4_186
| ~ spl4_240 ),
inference(resolution,[],[f2989,f2024]) ).
fof(f2989,plain,
( ! [X2,X0,X1] :
( s_t(X0,s(X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_240 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f26329,plain,
( ~ spl4_400
| ~ spl4_24
| ~ spl4_265
| spl4_592 ),
inference(avatar_split_clause,[],[f15409,f15397,f3446,f513,f6894]) ).
fof(f15397,plain,
( spl4_592
<=> s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_592])]) ).
fof(f15409,plain,
( ~ s_t(sK1,sK2,sK0)
| ~ spl4_24
| ~ spl4_265
| spl4_592 ),
inference(forward_demodulation,[],[f15406,f514]) ).
fof(f15406,plain,
( ~ s_t(s(sK3,s(sK3,sK1)),sK2,sK0)
| ~ spl4_265
| spl4_592 ),
inference(resolution,[],[f15399,f3447]) ).
fof(f15399,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| spl4_592 ),
inference(avatar_component_clause,[],[f15397]) ).
fof(f26084,plain,
( spl4_1015
| ~ spl4_27
| ~ spl4_663
| ~ spl4_665 ),
inference(avatar_split_clause,[],[f16454,f16419,f16355,f525,f26081]) ).
fof(f26081,plain,
( spl4_1015
<=> s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1015])]) ).
fof(f525,plain,
( spl4_27
<=> ! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f16355,plain,
( spl4_663
<=> s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_663])]) ).
fof(f16419,plain,
( spl4_665
<=> s_t(s(sK3,sK0),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_665])]) ).
fof(f16454,plain,
( s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1))
| ~ spl4_27
| ~ spl4_663
| ~ spl4_665 ),
inference(forward_demodulation,[],[f16421,f16372]) ).
fof(f16372,plain,
( s(sK3,sK1) = s(s(sK3,sK1),s(sK3,sK0))
| ~ spl4_27
| ~ spl4_663 ),
inference(resolution,[],[f16357,f526]) ).
fof(f526,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| X0 = X1 )
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f16357,plain,
( s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK1))
| ~ spl4_663 ),
inference(avatar_component_clause,[],[f16355]) ).
fof(f16421,plain,
( s_t(s(sK3,sK0),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| ~ spl4_665 ),
inference(avatar_component_clause,[],[f16419]) ).
fof(f26078,plain,
( spl4_1014
| ~ spl4_27
| ~ spl4_661
| ~ spl4_663 ),
inference(avatar_split_clause,[],[f16416,f16355,f16344,f525,f26075]) ).
fof(f16344,plain,
( spl4_661
<=> s_t(s(sK3,sK1),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_661])]) ).
fof(f16416,plain,
( s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK1))
| ~ spl4_27
| ~ spl4_661
| ~ spl4_663 ),
inference(forward_demodulation,[],[f16346,f16372]) ).
fof(f16346,plain,
( s_t(s(sK3,sK1),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| ~ spl4_661 ),
inference(avatar_component_clause,[],[f16344]) ).
fof(f26065,plain,
( ~ spl4_1013
| ~ spl4_32
| ~ spl4_610 ),
inference(avatar_split_clause,[],[f15878,f15871,f552,f26062]) ).
fof(f26062,plain,
( spl4_1013
<=> s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1013])]) ).
fof(f15871,plain,
( spl4_610
<=> sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_610])]) ).
fof(f15878,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_32
| ~ spl4_610 ),
inference(resolution,[],[f15873,f553]) ).
fof(f15873,plain,
( sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_610 ),
inference(avatar_component_clause,[],[f15871]) ).
fof(f25786,plain,
( ~ spl4_11
| spl4_606 ),
inference(avatar_contradiction_clause,[],[f25783]) ).
fof(f25783,plain,
( $false
| ~ spl4_11
| spl4_606 ),
inference(resolution,[],[f15575,f461]) ).
fof(f15575,plain,
( ~ s_t(sK0,sK1,sK1)
| spl4_606 ),
inference(avatar_component_clause,[],[f15573]) ).
fof(f15573,plain,
( spl4_606
<=> s_t(sK0,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_606])]) ).
fof(f25490,plain,
( spl4_1012
| ~ spl4_11
| ~ spl4_384 ),
inference(avatar_split_clause,[],[f6754,f6662,f460,f25488]) ).
fof(f25488,plain,
( spl4_1012
<=> ! [X0,X1] :
( s_m(ins(X0,X0,X0,X1),X0,X0)
| ~ le(X0,X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1012])]) ).
fof(f6662,plain,
( spl4_384
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| s_m(ins(X0,X2,X0,X1),X0,X2)
| ~ s_t(ins(X0,X2,X0,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_384])]) ).
fof(f6754,plain,
( ! [X0,X1] :
( s_m(ins(X0,X0,X0,X1),X0,X0)
| ~ le(X0,X1,X0,X0) )
| ~ spl4_11
| ~ spl4_384 ),
inference(resolution,[],[f6663,f461]) ).
fof(f6663,plain,
( ! [X2,X0,X1] :
( ~ s_t(ins(X0,X2,X0,X1),X0,X2)
| s_m(ins(X0,X2,X0,X1),X0,X2)
| ~ le(X0,X1,X0,X2) )
| ~ spl4_384 ),
inference(avatar_component_clause,[],[f6662]) ).
fof(f25486,plain,
( spl4_1011
| ~ spl4_177
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4426,f4213,f1862,f25484]) ).
fof(f25484,plain,
( spl4_1011
<=> ! [X2,X0,X1] : le(X0,X1,s(X2,X0),s(s(X2,X1),s(X2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1011])]) ).
fof(f4213,plain,
( spl4_290
<=> ! [X0,X3,X2,X1] :
( le(X0,X1,s(X2,X0),X3)
| ~ s_t(s(X2,X0),s(X2,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_290])]) ).
fof(f4426,plain,
( ! [X2,X0,X1] : le(X0,X1,s(X2,X0),s(s(X2,X1),s(X2,X0)))
| ~ spl4_177
| ~ spl4_290 ),
inference(resolution,[],[f4214,f1863]) ).
fof(f4214,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(X2,X0),s(X2,X1),X3)
| le(X0,X1,s(X2,X0),X3) )
| ~ spl4_290 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f25482,plain,
( spl4_1010
| ~ spl4_264
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4408,f4213,f3442,f25480]) ).
fof(f25480,plain,
( spl4_1010
<=> ! [X0,X3,X2,X1] :
( le(X0,X1,s(X2,X0),s(X2,X3))
| ~ s_t(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1010])]) ).
fof(f4408,plain,
( ! [X2,X3,X0,X1] :
( le(X0,X1,s(X2,X0),s(X2,X3))
| ~ s_t(X3,X1,X0) )
| ~ spl4_264
| ~ spl4_290 ),
inference(resolution,[],[f4214,f3443]) ).
fof(f25478,plain,
( spl4_1009
| ~ spl4_206
| ~ spl4_277 ),
inference(avatar_split_clause,[],[f4091,f3554,f2265,f25476]) ).
fof(f25476,plain,
( spl4_1009
<=> ! [X4,X0,X3,X2,X1] : s_e(s(X0,ext(X1,X2,X3,X4)),s(X0,X2),X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1009])]) ).
fof(f4091,plain,
( ! [X2,X3,X0,X1,X4] : s_e(s(X0,ext(X1,X2,X3,X4)),s(X0,X2),X3,X4)
| ~ spl4_206
| ~ spl4_277 ),
inference(resolution,[],[f3555,f2266]) ).
fof(f25474,plain,
( ~ spl4_1008
| ~ spl4_250
| spl4_584 ),
inference(avatar_split_clause,[],[f15522,f14885,f3277,f25471]) ).
fof(f25471,plain,
( spl4_1008
<=> s_t(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1008])]) ).
fof(f3277,plain,
( spl4_250
<=> sK1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_250])]) ).
fof(f15522,plain,
( ~ s_t(sK0,sK1,sK0)
| ~ spl4_250
| spl4_584 ),
inference(superposition,[],[f14887,f3279]) ).
fof(f3279,plain,
( sK1 = sK2
| ~ spl4_250 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f25469,plain,
( spl4_1007
| ~ spl4_208
| ~ spl4_277 ),
inference(avatar_split_clause,[],[f4085,f3554,f2273,f25467]) ).
fof(f25467,plain,
( spl4_1007
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X1,X2,X3),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1007])]) ).
fof(f4085,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X1,X2,X3),X1,X0) )
| ~ spl4_208
| ~ spl4_277 ),
inference(resolution,[],[f3555,f2274]) ).
fof(f25465,plain,
( spl4_1006
| ~ spl4_209
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4035,f3546,f2277,f25463]) ).
fof(f25463,plain,
( spl4_1006
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X2,X1,X0),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1006])]) ).
fof(f3546,plain,
( spl4_275
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X2,X4,X0,X1)
| ~ s_m(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_275])]) ).
fof(f4035,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X2,X1,X0),X2,X3) )
| ~ spl4_209
| ~ spl4_275 ),
inference(resolution,[],[f3547,f2278]) ).
fof(f3547,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X2,X4,X0,X1)
| s_e(X0,X1,X2,X3)
| ~ s_m(X4,X2,X3) )
| ~ spl4_275 ),
inference(avatar_component_clause,[],[f3546]) ).
fof(f25461,plain,
( spl4_1005
| ~ spl4_206
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4032,f3546,f2265,f25459]) ).
fof(f25459,plain,
( spl4_1005
<=> ! [X0,X3,X2,X1] :
( s_e(s(X0,X1),s(X0,X2),X2,X3)
| ~ s_m(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1005])]) ).
fof(f4032,plain,
( ! [X2,X3,X0,X1] :
( s_e(s(X0,X1),s(X0,X2),X2,X3)
| ~ s_m(X1,X2,X3) )
| ~ spl4_206
| ~ spl4_275 ),
inference(resolution,[],[f3547,f2266]) ).
fof(f25457,plain,
( spl4_1004
| ~ spl4_210
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4027,f3546,f2281,f25455]) ).
fof(f25455,plain,
( spl4_1004
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X2,X3)
| ~ s_m(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1004])]) ).
fof(f4027,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X2,X3)
| ~ s_m(X2,X1,X0) )
| ~ spl4_210
| ~ spl4_275 ),
inference(resolution,[],[f3547,f2282]) ).
fof(f25453,plain,
( spl4_1003
| ~ spl4_208
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4026,f3546,f2273,f25451]) ).
fof(f25451,plain,
( spl4_1003
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X3,X1,X2)
| ~ s_m(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1003])]) ).
fof(f4026,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X3,X1,X2)
| ~ s_m(X3,X1,X0) )
| ~ spl4_208
| ~ spl4_275 ),
inference(resolution,[],[f3547,f2274]) ).
fof(f25449,plain,
( spl4_1002
| ~ spl4_205
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4025,f3546,f2220,f25447]) ).
fof(f25447,plain,
( spl4_1002
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X2,X3)
| ~ s_m(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1002])]) ).
fof(f4025,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X2,X3)
| ~ s_m(X2,X0,X1) )
| ~ spl4_205
| ~ spl4_275 ),
inference(resolution,[],[f3547,f2221]) ).
fof(f25445,plain,
( spl4_1001
| ~ spl4_203
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4016,f3466,f2212,f25443]) ).
fof(f25443,plain,
( spl4_1001
<=> ! [X4,X0,X3,X2,X1] : s_e(s(X0,X1),s(X0,ext(X2,X1,X3,X4)),X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1001])]) ).
fof(f4016,plain,
( ! [X2,X3,X0,X1,X4] : s_e(s(X0,X1),s(X0,ext(X2,X1,X3,X4)),X3,X4)
| ~ spl4_203
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2213]) ).
fof(f25441,plain,
( spl4_1000
| ~ spl4_211
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4013,f3466,f2285,f25439]) ).
fof(f25439,plain,
( spl4_1000
<=> ! [X2,X3,X4,X0,X5,X1] : s_e(ext(X0,X1,ext(X2,X3,X4,X5),X3),X1,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1000])]) ).
fof(f4013,plain,
( ! [X2,X3,X0,X1,X4,X5] : s_e(ext(X0,X1,ext(X2,X3,X4,X5),X3),X1,X4,X5)
| ~ spl4_211
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2286]) ).
fof(f25437,plain,
( spl4_999
| ~ spl4_207
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4012,f3466,f2269,f25435]) ).
fof(f25435,plain,
( spl4_999
<=> ! [X2,X3,X4,X0,X5,X1] : s_e(ext(X0,X1,X2,ext(X3,X2,X4,X5)),X1,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_999])]) ).
fof(f4012,plain,
( ! [X2,X3,X0,X1,X4,X5] : s_e(ext(X0,X1,X2,ext(X3,X2,X4,X5)),X1,X4,X5)
| ~ spl4_207
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2270]) ).
fof(f25433,plain,
( spl4_998
| ~ spl4_201
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4011,f3466,f2204,f25431]) ).
fof(f25431,plain,
( spl4_998
<=> ! [X2,X4,X0,X3,X1] : s_e(X0,s(X1,ext(X2,s(X1,X0),X3,X4)),X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_998])]) ).
fof(f4011,plain,
( ! [X2,X3,X0,X1,X4] : s_e(X0,s(X1,ext(X2,s(X1,X0),X3,X4)),X3,X4)
| ~ spl4_201
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2205]) ).
fof(f25427,plain,
( spl4_997
| ~ spl4_209
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4008,f3466,f2277,f25425]) ).
fof(f25425,plain,
( spl4_997
<=> ! [X3,X4,X0,X5,X2,X1] : s_e(X0,ext(X1,X0,ext(X2,X3,X4,X5),X3),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_997])]) ).
fof(f4008,plain,
( ! [X2,X3,X0,X1,X4,X5] : s_e(X0,ext(X1,X0,ext(X2,X3,X4,X5),X3),X4,X5)
| ~ spl4_209
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2278]) ).
fof(f25423,plain,
( spl4_996
| ~ spl4_51
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4007,f3466,f677,f25421]) ).
fof(f25421,plain,
( spl4_996
<=> ! [X3,X4,X0,X5,X2,X1] : s_e(X0,ext(X1,X0,X2,ext(X3,X2,X4,X5)),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_996])]) ).
fof(f4007,plain,
( ! [X2,X3,X0,X1,X4,X5] : s_e(X0,ext(X1,X0,X2,ext(X3,X2,X4,X5)),X4,X5)
| ~ spl4_51
| ~ spl4_270 ),
inference(resolution,[],[f3467,f678]) ).
fof(f25419,plain,
( spl4_995
| ~ spl4_205
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4003,f3466,f2220,f25417]) ).
fof(f25417,plain,
( spl4_995
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X1,ext(X4,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_995])]) ).
fof(f4003,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X1,ext(X4,X1,X2,X3)) )
| ~ spl4_205
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2221]) ).
fof(f25415,plain,
( spl4_994
| ~ spl4_49
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4001,f3466,f669,f25413]) ).
fof(f25413,plain,
( spl4_994
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X0,ext(X4,X0,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_994])]) ).
fof(f4001,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X0,ext(X4,X0,X2,X3)) )
| ~ spl4_49
| ~ spl4_270 ),
inference(resolution,[],[f3467,f670]) ).
fof(f25411,plain,
( spl4_993
| ~ spl4_202
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f4000,f3466,f2208,f25409]) ).
fof(f25409,plain,
( spl4_993
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X0,X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_993])]) ).
fof(f4000,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X0,X2,X3),X0,X1) )
| ~ spl4_202
| ~ spl4_270 ),
inference(resolution,[],[f3467,f2209]) ).
fof(f25407,plain,
( spl4_992
| ~ spl4_203
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3962,f3458,f2212,f25405]) ).
fof(f25405,plain,
( spl4_992
<=> ! [X0,X3,X2,X1] :
( s_e(s(X0,X1),s(X0,X2),X1,X3)
| ~ s_m(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_992])]) ).
fof(f3458,plain,
( spl4_268
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_m(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_268])]) ).
fof(f3962,plain,
( ! [X2,X3,X0,X1] :
( s_e(s(X0,X1),s(X0,X2),X1,X3)
| ~ s_m(X2,X1,X3) )
| ~ spl4_203
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2213]) ).
fof(f3459,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X4)
| s_e(X0,X1,X2,X3)
| ~ s_m(X4,X2,X3) )
| ~ spl4_268 ),
inference(avatar_component_clause,[],[f3458]) ).
fof(f25403,plain,
( spl4_991
| ~ spl4_200
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3961,f3458,f2200,f25401]) ).
fof(f25401,plain,
( spl4_991
<=> ! [X0,X3,X2,X1] :
( s_e(s(X0,X1),X2,X1,X3)
| ~ s_m(s(X0,X2),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_991])]) ).
fof(f3961,plain,
( ! [X2,X3,X0,X1] :
( s_e(s(X0,X1),X2,X1,X3)
| ~ s_m(s(X0,X2),X1,X3) )
| ~ spl4_200
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2201]) ).
fof(f25399,plain,
( spl4_990
| ~ spl4_211
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3958,f3458,f2285,f25397]) ).
fof(f25397,plain,
( spl4_990
<=> ! [X4,X0,X3,X2,X1] :
( s_e(ext(X0,X1,X2,X3),X1,X3,X4)
| ~ s_m(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_990])]) ).
fof(f3958,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(ext(X0,X1,X2,X3),X1,X3,X4)
| ~ s_m(X2,X3,X4) )
| ~ spl4_211
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2286]) ).
fof(f25395,plain,
( spl4_989
| ~ spl4_207
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3957,f3458,f2269,f25393]) ).
fof(f25393,plain,
( spl4_989
<=> ! [X4,X0,X3,X2,X1] :
( s_e(ext(X0,X1,X2,X3),X1,X2,X4)
| ~ s_m(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_989])]) ).
fof(f3957,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(ext(X0,X1,X2,X3),X1,X2,X4)
| ~ s_m(X3,X2,X4) )
| ~ spl4_207
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2270]) ).
fof(f25391,plain,
( spl4_988
| ~ spl4_209
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3953,f3458,f2277,f25389]) ).
fof(f25389,plain,
( spl4_988
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,ext(X1,X0,X2,X3),X3,X4)
| ~ s_m(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_988])]) ).
fof(f3953,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,ext(X1,X0,X2,X3),X3,X4)
| ~ s_m(X2,X3,X4) )
| ~ spl4_209
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2278]) ).
fof(f25385,plain,
( spl4_987
| ~ spl4_51
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3952,f3458,f677,f25383]) ).
fof(f25383,plain,
( spl4_987
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,ext(X1,X0,X2,X3),X2,X4)
| ~ s_m(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_987])]) ).
fof(f3952,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,ext(X1,X0,X2,X3),X2,X4)
| ~ s_m(X3,X2,X4) )
| ~ spl4_51
| ~ spl4_268 ),
inference(resolution,[],[f3459,f678]) ).
fof(f25381,plain,
( spl4_986
| ~ spl4_179
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3950,f3458,f1892,f25379]) ).
fof(f25379,plain,
( spl4_986
<=> ! [X2,X0,X1] :
( s_e(X0,X1,s(X1,X0),X2)
| ~ s_m(X1,s(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_986])]) ).
fof(f1892,plain,
( spl4_179
<=> ! [X0,X1] : s_e(X1,X0,s(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_179])]) ).
fof(f3950,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,s(X1,X0),X2)
| ~ s_m(X1,s(X1,X0),X2) )
| ~ spl4_179
| ~ spl4_268 ),
inference(resolution,[],[f3459,f1893]) ).
fof(f1893,plain,
( ! [X0,X1] : s_e(X1,X0,s(X0,X1),X0)
| ~ spl4_179 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f25377,plain,
( spl4_985
| ~ spl4_204
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3947,f3458,f2216,f25375]) ).
fof(f25375,plain,
( spl4_985
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X2,X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_985])]) ).
fof(f3947,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_m(ext(X4,X2,X0,X1),X2,X3) )
| ~ spl4_204
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2217]) ).
fof(f25373,plain,
( spl4_984
| ~ spl4_210
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3946,f3458,f2281,f25371]) ).
fof(f25371,plain,
( spl4_984
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X2,X3)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_984])]) ).
fof(f3946,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X1,X2,X3)
| ~ s_m(X0,X1,X2) )
| ~ spl4_210
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2282]) ).
fof(f25369,plain,
( spl4_983
| ~ spl4_208
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3945,f3458,f2273,f25367]) ).
fof(f25367,plain,
( spl4_983
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X2,X3)
| ~ s_m(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_983])]) ).
fof(f3945,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_m(X0,X2,X3)
| ~ s_m(X1,X0,X2) )
| ~ spl4_208
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2274]) ).
fof(f25365,plain,
( spl4_982
| ~ spl4_205
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3944,f3458,f2220,f25363]) ).
fof(f25363,plain,
( spl4_982
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X3,X1,X2)
| ~ s_m(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_982])]) ).
fof(f3944,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X3,X1,X2)
| ~ s_m(X0,X1,X3) )
| ~ spl4_205
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2221]) ).
fof(f25361,plain,
( spl4_981
| ~ spl4_49
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3941,f3458,f669,f25359]) ).
fof(f25359,plain,
( spl4_981
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X3,X0,X2)
| ~ s_m(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_981])]) ).
fof(f3941,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X3,X0,X2)
| ~ s_m(X1,X0,X3) )
| ~ spl4_49
| ~ spl4_268 ),
inference(resolution,[],[f3459,f670]) ).
fof(f25357,plain,
( spl4_980
| ~ spl4_202
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3940,f3458,f2208,f25355]) ).
fof(f25355,plain,
( spl4_980
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X3,X0,X2)
| ~ s_m(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_980])]) ).
fof(f3940,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X3,X0,X2)
| ~ s_m(X3,X0,X1) )
| ~ spl4_202
| ~ spl4_268 ),
inference(resolution,[],[f3459,f2209]) ).
fof(f25353,plain,
( spl4_979
| ~ spl4_235
| ~ spl4_253 ),
inference(avatar_split_clause,[],[f3400,f3290,f2796,f25351]) ).
fof(f25351,plain,
( spl4_979
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X3,ins(X1,X2,X0,X0))
| le(X0,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_979])]) ).
fof(f3290,plain,
( spl4_253
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,ext(X2,X0,X3,X4))
| le(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_253])]) ).
fof(f3400,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X3,ins(X1,X2,X0,X0))
| le(X0,X3,X1,X2) )
| ~ spl4_235
| ~ spl4_253 ),
inference(superposition,[],[f3291,f2797]) ).
fof(f3291,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ext(X2,X0,X3,X4))
| le(X0,X1,X3,X4) )
| ~ spl4_253 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f25349,plain,
( spl4_978
| ~ spl4_235
| ~ spl4_249 ),
inference(avatar_split_clause,[],[f3373,f3273,f2796,f25347]) ).
fof(f25347,plain,
( spl4_978
<=> ! [X0,X3,X2,X1] :
( le(X0,ins(X1,X2,X0,X0),X1,X3)
| ~ s_t(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_978])]) ).
fof(f3273,plain,
( spl4_249
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,ext(X1,X0,X2,X3),X2,X4)
| ~ s_t(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_249])]) ).
fof(f3373,plain,
( ! [X2,X3,X0,X1] :
( le(X0,ins(X1,X2,X0,X0),X1,X3)
| ~ s_t(X1,X2,X3) )
| ~ spl4_235
| ~ spl4_249 ),
inference(superposition,[],[f3274,f2797]) ).
fof(f3274,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,ext(X1,X0,X2,X3),X2,X4)
| ~ s_t(X2,X3,X4) )
| ~ spl4_249 ),
inference(avatar_component_clause,[],[f3273]) ).
fof(f25343,plain,
( spl4_977
| ~ spl4_218
| ~ spl4_249 ),
inference(avatar_split_clause,[],[f3371,f3273,f2642,f25341]) ).
fof(f25341,plain,
( spl4_977
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X0)
| s_e(X2,ext(X3,X2,X0,X1),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_977])]) ).
fof(f2642,plain,
( spl4_218
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ le(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_218])]) ).
fof(f3371,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_e(X2,ext(X3,X2,X0,X1),X0,X0) )
| ~ spl4_218
| ~ spl4_249 ),
inference(resolution,[],[f3274,f2643]) ).
fof(f2643,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| s_e(X0,X1,X2,X2) )
| ~ spl4_218 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f25339,plain,
( spl4_976
| ~ spl4_219
| ~ spl4_249 ),
inference(avatar_split_clause,[],[f3370,f3273,f2646,f25337]) ).
fof(f25337,plain,
( spl4_976
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ s_t(X0,X1,X0)
| le(X2,ext(X3,X2,X0,X1),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_976])]) ).
fof(f2646,plain,
( spl4_219
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_219])]) ).
fof(f3370,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X0)
| le(X2,ext(X3,X2,X0,X1),X4,X5) )
| ~ spl4_219
| ~ spl4_249 ),
inference(resolution,[],[f3274,f2647]) ).
fof(f2647,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X4,X4)
| le(X0,X1,X2,X3) )
| ~ spl4_219 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f25335,plain,
( spl4_975
| ~ spl4_42
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f3306,f3253,f594,f25333]) ).
fof(f25333,plain,
( spl4_975
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X0,ins(X2,X3,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_975])]) ).
fof(f3253,plain,
( spl4_244
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X0,X1,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_244])]) ).
fof(f3306,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X0,ins(X2,X3,X0,X1),X1) )
| ~ spl4_42
| ~ spl4_244 ),
inference(resolution,[],[f3254,f595]) ).
fof(f3254,plain,
( ! [X2,X3,X0,X1] :
( s_col(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) )
| ~ spl4_244 ),
inference(avatar_component_clause,[],[f3253]) ).
fof(f25331,plain,
( spl4_974
| ~ spl4_41
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f3305,f3253,f590,f25329]) ).
fof(f25329,plain,
( spl4_974
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X1,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_974])]) ).
fof(f3305,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X1,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_41
| ~ spl4_244 ),
inference(resolution,[],[f3254,f591]) ).
fof(f25327,plain,
( spl4_973
| ~ spl4_40
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f3304,f3253,f584,f25325]) ).
fof(f25325,plain,
( spl4_973
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ins(X2,X3,X0,X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_973])]) ).
fof(f3304,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ins(X2,X3,X0,X1),X1,X0) )
| ~ spl4_40
| ~ spl4_244 ),
inference(resolution,[],[f3254,f585]) ).
fof(f25323,plain,
( spl4_972
| ~ spl4_234
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3182,f2992,f2792,f25321]) ).
fof(f25321,plain,
( spl4_972
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X2,X1) = s(X2,s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_972])]) ).
fof(f2792,plain,
( spl4_234
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X2,X0) = s(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_234])]) ).
fof(f2992,plain,
( spl4_241
<=> ! [X2,X0,X1] :
( s_t(s(X0,X1),X0,s(X0,X2))
| ~ s_t(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_241])]) ).
fof(f3182,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X2,X1) = s(X2,s(X1,X0)) )
| ~ spl4_234
| ~ spl4_241 ),
inference(resolution,[],[f2993,f2793]) ).
fof(f2793,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X2,X0) = s(X2,X1) )
| ~ spl4_234 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f2993,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X1),X0,s(X0,X2))
| ~ s_t(X1,X0,X2) )
| ~ spl4_241 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f25319,plain,
( spl4_971
| ~ spl4_101
| ~ spl4_211 ),
inference(avatar_split_clause,[],[f2567,f2285,f1019,f25317]) ).
fof(f25317,plain,
( spl4_971
<=> ! [X4,X0,X3,X2,X1] :
( le(ext(X0,X1,X2,X3),X1,X3,X4)
| ~ s_t(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_971])]) ).
fof(f1019,plain,
( spl4_101
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_101])]) ).
fof(f2567,plain,
( ! [X2,X3,X0,X1,X4] :
( le(ext(X0,X1,X2,X3),X1,X3,X4)
| ~ s_t(X3,X2,X4) )
| ~ spl4_101
| ~ spl4_211 ),
inference(resolution,[],[f2286,f1020]) ).
fof(f1020,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X4)
| le(X0,X1,X2,X3)
| ~ s_t(X2,X4,X3) )
| ~ spl4_101 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f25315,plain,
( spl4_970
| ~ spl4_102
| ~ spl4_210 ),
inference(avatar_split_clause,[],[f2545,f2281,f1023,f25313]) ).
fof(f25313,plain,
( spl4_970
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X0,X3,X1)
| le(X0,X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_970])]) ).
fof(f1023,plain,
( spl4_102
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_102])]) ).
fof(f2545,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X0,X3,X1)
| le(X0,X3,X2,X1) )
| ~ spl4_102
| ~ spl4_210 ),
inference(resolution,[],[f2282,f1024]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) )
| ~ spl4_102 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f25311,plain,
( spl4_969
| ~ spl4_101
| ~ spl4_210 ),
inference(avatar_split_clause,[],[f2544,f2281,f1019,f25309]) ).
fof(f25309,plain,
( spl4_969
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| le(X0,X1,X2,X3)
| ~ s_t(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_969])]) ).
fof(f2544,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| le(X0,X1,X2,X3)
| ~ s_t(X2,X1,X3) )
| ~ spl4_101
| ~ spl4_210 ),
inference(resolution,[],[f2282,f1020]) ).
fof(f25307,plain,
( spl4_968
| ~ spl4_102
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f2521,f2277,f1023,f25305]) ).
fof(f25305,plain,
( spl4_968
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,ext(X2,X0,X3,X4))
| le(X0,X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_968])]) ).
fof(f2521,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ext(X2,X0,X3,X4))
| le(X0,X1,X4,X3) )
| ~ spl4_102
| ~ spl4_209 ),
inference(resolution,[],[f2278,f1024]) ).
fof(f25301,plain,
( spl4_967
| ~ spl4_101
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f2520,f2277,f1019,f25299]) ).
fof(f25299,plain,
( spl4_967
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,ext(X1,X0,X2,X3),X3,X4)
| ~ s_t(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_967])]) ).
fof(f2520,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,ext(X1,X0,X2,X3),X3,X4)
| ~ s_t(X3,X2,X4) )
| ~ spl4_101
| ~ spl4_209 ),
inference(resolution,[],[f2278,f1020]) ).
fof(f25297,plain,
( spl4_966
| ~ spl4_102
| ~ spl4_208 ),
inference(avatar_split_clause,[],[f2498,f2273,f1023,f25295]) ).
fof(f25295,plain,
( spl4_966
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X1,X3,X0)
| le(X1,X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_966])]) ).
fof(f2498,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X1,X3,X0)
| le(X1,X3,X2,X1) )
| ~ spl4_102
| ~ spl4_208 ),
inference(resolution,[],[f2274,f1024]) ).
fof(f25293,plain,
( spl4_965
| ~ spl4_101
| ~ spl4_208 ),
inference(avatar_split_clause,[],[f2497,f2273,f1019,f25291]) ).
fof(f25291,plain,
( spl4_965
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| le(X1,X0,X2,X3)
| ~ s_t(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_965])]) ).
fof(f2497,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| le(X1,X0,X2,X3)
| ~ s_t(X2,X1,X3) )
| ~ spl4_101
| ~ spl4_208 ),
inference(resolution,[],[f2274,f1020]) ).
fof(f25289,plain,
( spl4_964
| ~ spl4_101
| ~ spl4_207 ),
inference(avatar_split_clause,[],[f2479,f2269,f1019,f25287]) ).
fof(f25287,plain,
( spl4_964
<=> ! [X4,X0,X3,X2,X1] :
( le(ext(X0,X1,X2,X3),X1,X2,X4)
| ~ s_t(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_964])]) ).
fof(f2479,plain,
( ! [X2,X3,X0,X1,X4] :
( le(ext(X0,X1,X2,X3),X1,X2,X4)
| ~ s_t(X2,X3,X4) )
| ~ spl4_101
| ~ spl4_207 ),
inference(resolution,[],[f2270,f1020]) ).
fof(f25285,plain,
( spl4_963
| ~ spl4_102
| ~ spl4_206 ),
inference(avatar_split_clause,[],[f2447,f2265,f1023,f25283]) ).
fof(f25283,plain,
( spl4_963
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X3,X2),s(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_963])]) ).
fof(f2447,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X3,X2),s(X3,X0)) )
| ~ spl4_102
| ~ spl4_206 ),
inference(resolution,[],[f2266,f1024]) ).
fof(f25281,plain,
( spl4_962
| ~ spl4_102
| ~ spl4_205 ),
inference(avatar_split_clause,[],[f2424,f2220,f1023,f25279]) ).
fof(f25279,plain,
( spl4_962
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X0,X3,X1)
| le(X0,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_962])]) ).
fof(f2424,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X0,X3,X1)
| le(X0,X3,X1,X2) )
| ~ spl4_102
| ~ spl4_205 ),
inference(resolution,[],[f2221,f1024]) ).
fof(f25277,plain,
( spl4_961
| ~ spl4_101
| ~ spl4_205 ),
inference(avatar_split_clause,[],[f2423,f2220,f1019,f25275]) ).
fof(f25275,plain,
( spl4_961
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| le(X0,X1,X1,X3)
| ~ s_t(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_961])]) ).
fof(f2423,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| le(X0,X1,X1,X3)
| ~ s_t(X1,X2,X3) )
| ~ spl4_101
| ~ spl4_205 ),
inference(resolution,[],[f2221,f1020]) ).
fof(f25273,plain,
( spl4_960
| ~ spl4_102
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2400,f2216,f1023,f25271]) ).
fof(f25271,plain,
( spl4_960
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X3,ext(X4,X3,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_960])]) ).
fof(f2400,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X3,ext(X4,X3,X0,X2)) )
| ~ spl4_102
| ~ spl4_204 ),
inference(resolution,[],[f2217,f1024]) ).
fof(f25269,plain,
( spl4_959
| ~ spl4_101
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2399,f2216,f1019,f25267]) ).
fof(f25267,plain,
( spl4_959
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ s_t(X2,ext(X4,X2,X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_959])]) ).
fof(f2399,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ s_t(X2,ext(X4,X2,X0,X1),X3) )
| ~ spl4_101
| ~ spl4_204 ),
inference(resolution,[],[f2217,f1020]) ).
fof(f25265,plain,
( spl4_958
| ~ spl4_101
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f2379,f2212,f1019,f25263]) ).
fof(f25263,plain,
( spl4_958
<=> ! [X0,X3,X2,X1] :
( le(s(X0,X1),s(X0,X2),X1,X3)
| ~ s_t(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_958])]) ).
fof(f2379,plain,
( ! [X2,X3,X0,X1] :
( le(s(X0,X1),s(X0,X2),X1,X3)
| ~ s_t(X1,X2,X3) )
| ~ spl4_101
| ~ spl4_203 ),
inference(resolution,[],[f2213,f1020]) ).
fof(f25261,plain,
( ~ spl4_957
| spl4_329
| ~ spl4_925 ),
inference(avatar_split_clause,[],[f23765,f21908,f5229,f25258]) ).
fof(f25258,plain,
( spl4_957
<=> s_t(sK1,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_957])]) ).
fof(f23765,plain,
( ~ s_t(sK1,sK0,sK3)
| spl4_329
| ~ spl4_925 ),
inference(resolution,[],[f5230,f21909]) ).
fof(f25256,plain,
( spl4_956
| ~ spl4_102
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2352,f2208,f1023,f25254]) ).
fof(f25254,plain,
( spl4_956
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X1,X3,X2)
| le(X1,X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_956])]) ).
fof(f2352,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_t(X1,X3,X2)
| le(X1,X3,X1,X0) )
| ~ spl4_102
| ~ spl4_202 ),
inference(resolution,[],[f2209,f1024]) ).
fof(f25252,plain,
( spl4_955
| ~ spl4_101
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2351,f2208,f1019,f25250]) ).
fof(f25250,plain,
( spl4_955
<=> ! [X0,X3,X2,X1] :
( ~ s_m(X0,X1,X2)
| le(X1,X2,X1,X3)
| ~ s_t(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_955])]) ).
fof(f2351,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X2)
| le(X1,X2,X1,X3)
| ~ s_t(X1,X0,X3) )
| ~ spl4_101
| ~ spl4_202 ),
inference(resolution,[],[f2209,f1020]) ).
fof(f25248,plain,
( spl4_954
| ~ spl4_102
| ~ spl4_201 ),
inference(avatar_split_clause,[],[f2331,f2204,f1023,f25246]) ).
fof(f25246,plain,
( spl4_954
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(X2,X3))
| le(X0,X1,s(X2,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_954])]) ).
fof(f2331,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,s(X2,X3))
| le(X0,X1,s(X2,X0),X3) )
| ~ spl4_102
| ~ spl4_201 ),
inference(resolution,[],[f2205,f1024]) ).
fof(f25244,plain,
( spl4_953
| ~ spl4_101
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f2309,f2200,f1019,f25242]) ).
fof(f25242,plain,
( spl4_953
<=> ! [X0,X3,X2,X1] :
( le(s(X0,X1),X2,X1,X3)
| ~ s_t(X1,s(X0,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_953])]) ).
fof(f2309,plain,
( ! [X2,X3,X0,X1] :
( le(s(X0,X1),X2,X1,X3)
| ~ s_t(X1,s(X0,X2),X3) )
| ~ spl4_101
| ~ spl4_200 ),
inference(resolution,[],[f2201,f1020]) ).
fof(f25240,plain,
( spl4_952
| ~ spl4_101
| ~ spl4_179 ),
inference(avatar_split_clause,[],[f1985,f1892,f1019,f25238]) ).
fof(f25238,plain,
( spl4_952
<=> ! [X2,X0,X1] :
( le(X0,X1,s(X1,X0),X2)
| ~ s_t(s(X1,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_952])]) ).
fof(f1985,plain,
( ! [X2,X0,X1] :
( le(X0,X1,s(X1,X0),X2)
| ~ s_t(s(X1,X0),X1,X2) )
| ~ spl4_101
| ~ spl4_179 ),
inference(resolution,[],[f1893,f1020]) ).
fof(f25236,plain,
( spl4_951
| ~ spl4_115
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1877,f1862,f1149,f25234]) ).
fof(f25234,plain,
( spl4_951
<=> ! [X2,X0,X1] :
( X0 = X1
| s_t(X2,X0,s(X1,X0))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_951])]) ).
fof(f1149,plain,
( spl4_115
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_115])]) ).
fof(f1877,plain,
( ! [X2,X0,X1] :
( X0 = X1
| s_t(X2,X0,s(X1,X0))
| ~ s_t(X2,X0,X1) )
| ~ spl4_115
| ~ spl4_177 ),
inference(resolution,[],[f1863,f1150]) ).
fof(f1150,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X1,X2,X3)
| X1 = X2
| s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_115 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f25232,plain,
( spl4_950
| ~ spl4_114
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1876,f1862,f1145,f25230]) ).
fof(f25230,plain,
( spl4_950
<=> ! [X2,X0,X1] :
( X0 = X1
| s_t(X2,X1,s(X1,X0))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_950])]) ).
fof(f1145,plain,
( spl4_114
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X2,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( X0 = X1
| s_t(X2,X1,s(X1,X0))
| ~ s_t(X2,X0,X1) )
| ~ spl4_114
| ~ spl4_177 ),
inference(resolution,[],[f1863,f1146]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X1,X2,X3)
| X1 = X2
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_114 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f25225,plain,
( spl4_949
| ~ spl4_176
| ~ spl4_412 ),
inference(avatar_split_clause,[],[f7562,f7310,f1856,f25223]) ).
fof(f25223,plain,
( spl4_949
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK2),X1)
| ~ s_t(X2,X3,X0)
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,s(sK3,sK2),X1,X0,s(sK3,sK0),X3))
| s_t(s(sK3,sK0),crossbar(X2,s(sK3,sK2),X1,X0,s(sK3,sK0),X3),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_949])]) ).
fof(f7310,plain,
( spl4_412
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X3,crossbar(X0,X5,X4,X2,X3,X1),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_412])]) ).
fof(f7562,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK2),X1)
| ~ s_t(X2,X3,X0)
| s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X2,s(sK3,sK2),X1,X0,s(sK3,sK0),X3))
| s_t(s(sK3,sK0),crossbar(X2,s(sK3,sK2),X1,X0,s(sK3,sK0),X3),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_412 ),
inference(resolution,[],[f7311,f1857]) ).
fof(f7311,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X3,crossbar(X0,X5,X4,X2,X3,X1),X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X2) )
| ~ spl4_412 ),
inference(avatar_component_clause,[],[f7310]) ).
fof(f25218,plain,
( spl4_948
| ~ spl4_152
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1940,f1856,f1516,f25216]) ).
fof(f25216,plain,
( spl4_948
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK2),X3))
| s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK2),X3),s(sK3,sK1))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK2),X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_948])]) ).
fof(f1516,plain,
( spl4_152
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_152])]) ).
fof(f1940,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK2),X3))
| s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK2),X3),s(sK3,sK1))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK2),X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_152
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1517]) ).
fof(f1517,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_152 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f25212,plain,
( spl4_947
| ~ spl4_187
| ~ spl4_403 ),
inference(avatar_split_clause,[],[f7397,f7274,f2028,f25210]) ).
fof(f25210,plain,
( spl4_947
<=> ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,X1,X2)
| s_t(s(sK3,sK1),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_947])]) ).
fof(f7274,plain,
( spl4_403
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_t(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_403])]) ).
fof(f7397,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,X1,X2)
| s_t(s(sK3,sK1),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_403 ),
inference(resolution,[],[f7275,f2029]) ).
fof(f7275,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X1,X4) )
| ~ spl4_403 ),
inference(avatar_component_clause,[],[f7274]) ).
fof(f25208,plain,
( ~ spl4_946
| ~ spl4_250
| spl4_359
| ~ spl4_919 ),
inference(avatar_split_clause,[],[f23507,f21884,f5890,f3277,f25205]) ).
fof(f25205,plain,
( spl4_946
<=> s_t(sK1,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_946])]) ).
fof(f23507,plain,
( ~ s_t(sK1,sK3,sK0)
| ~ spl4_250
| spl4_359
| ~ spl4_919 ),
inference(forward_demodulation,[],[f23449,f3279]) ).
fof(f25201,plain,
( spl4_945
| ~ spl4_188
| ~ spl4_403 ),
inference(avatar_split_clause,[],[f7396,f7274,f2032,f25199]) ).
fof(f25199,plain,
( spl4_945
<=> ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,X1,X2)
| s_t(s(sK3,sK0),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_945])]) ).
fof(f7396,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,X1,X2)
| s_t(s(sK3,sK0),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),insert5(X0,X1,X2,s(sK3,sK0),s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_403 ),
inference(resolution,[],[f7275,f2033]) ).
fof(f25193,plain,
( spl4_944
| ~ spl4_176
| ~ spl4_394 ),
inference(avatar_split_clause,[],[f7061,f6702,f1856,f25191]) ).
fof(f25191,plain,
( spl4_944
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),X2,alpha,gamma),X2,X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),X2,alpha,gamma),X2,X0,X1),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_944])]) ).
fof(f6702,plain,
( spl4_394
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_394])]) ).
fof(f7061,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),X2,alpha,gamma),X2,X0,X1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),X2,alpha,gamma),X2,X0,X1),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_394 ),
inference(resolution,[],[f6703,f1857]) ).
fof(f6703,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3)
| ~ s_t(X4,X2,X3) )
| ~ spl4_394 ),
inference(avatar_component_clause,[],[f6702]) ).
fof(f23752,plain,
( spl4_358
| ~ spl4_24
| ~ spl4_329
| ~ spl4_913 ),
inference(avatar_split_clause,[],[f23307,f21851,f5229,f513,f5422]) ).
fof(f5422,plain,
( spl4_358
<=> s_t(sK3,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_358])]) ).
fof(f21851,plain,
( spl4_913
<=> ! [X2,X0,X1] :
( s_t(X0,X1,s(X0,X2))
| ~ s_t(X0,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_913])]) ).
fof(f23307,plain,
( s_t(sK3,sK0,sK1)
| ~ spl4_24
| ~ spl4_329
| ~ spl4_913 ),
inference(forward_demodulation,[],[f23289,f514]) ).
fof(f23289,plain,
( s_t(sK3,sK0,s(sK3,s(sK3,sK1)))
| ~ spl4_329
| ~ spl4_913 ),
inference(resolution,[],[f21852,f5231]) ).
fof(f5231,plain,
( s_t(sK3,s(sK3,sK0),s(sK3,sK1))
| ~ spl4_329 ),
inference(avatar_component_clause,[],[f5229]) ).
fof(f21852,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(X0,X1),X2)
| s_t(X0,X1,s(X0,X2)) )
| ~ spl4_913 ),
inference(avatar_component_clause,[],[f21851]) ).
fof(f23392,plain,
( ~ spl4_943
| spl4_600
| ~ spl4_912 ),
inference(avatar_split_clause,[],[f23197,f21847,f15539,f23389]) ).
fof(f23389,plain,
( spl4_943
<=> s_t(sK3,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_943])]) ).
fof(f15539,plain,
( spl4_600
<=> s_t(s(sK3,sK0),s(sK3,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_600])]) ).
fof(f23197,plain,
( ~ s_t(sK3,sK1,sK0)
| spl4_600
| ~ spl4_912 ),
inference(resolution,[],[f21848,f15541]) ).
fof(f15541,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK1),sK3)
| spl4_600 ),
inference(avatar_component_clause,[],[f15539]) ).
fof(f22001,plain,
( spl4_942
| ~ spl4_11
| ~ spl4_375 ),
inference(avatar_split_clause,[],[f6469,f6356,f460,f21999]) ).
fof(f21999,plain,
( spl4_942
<=> ! [X0,X3,X2,X1] :
( s_t(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_942])]) ).
fof(f6356,plain,
( spl4_375
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X0),s(X4,X1))
| ~ s_t(X3,s(X4,X0),s(X4,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_375])]) ).
fof(f6469,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X2,X3,X2) )
| ~ spl4_11
| ~ spl4_375 ),
inference(resolution,[],[f6357,f461]) ).
fof(f6357,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X3,s(X4,X0),s(X4,X2))
| s_t(X3,s(X4,X0),s(X4,X1))
| ~ s_t(X0,X1,X2) )
| ~ spl4_375 ),
inference(avatar_component_clause,[],[f6356]) ).
fof(f21997,plain,
( spl4_941
| ~ spl4_24
| ~ spl4_177
| ~ spl4_374 ),
inference(avatar_split_clause,[],[f6464,f6352,f1862,f513,f21995]) ).
fof(f21995,plain,
( spl4_941
<=> ! [X2,X0,X1] :
( s_t(X0,X1,s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_941])]) ).
fof(f6352,plain,
( spl4_374
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(s(X4,X0),X3,s(X4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_374])]) ).
fof(f6464,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2) )
| ~ spl4_24
| ~ spl4_177
| ~ spl4_374 ),
inference(forward_demodulation,[],[f6445,f514]) ).
fof(f6445,plain,
( ! [X2,X0,X1] :
( s_t(X0,s(X0,s(X0,X1)),s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2) )
| ~ spl4_177
| ~ spl4_374 ),
inference(resolution,[],[f6353,f1863]) ).
fof(f6353,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X4,X0),X3,s(X4,X1))
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_374 ),
inference(avatar_component_clause,[],[f6352]) ).
fof(f21993,plain,
( spl4_940
| ~ spl4_11
| ~ spl4_373 ),
inference(avatar_split_clause,[],[f6419,f6348,f460,f21991]) ).
fof(f21991,plain,
( spl4_940
<=> ! [X0,X3,X2,X1] :
( s_t(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X3,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_940])]) ).
fof(f6348,plain,
( spl4_373
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(X3,s(X4,X0),s(X4,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_373])]) ).
fof(f6419,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X3,X2,X3) )
| ~ spl4_11
| ~ spl4_373 ),
inference(resolution,[],[f6349,f461]) ).
fof(f6349,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X3,s(X4,X0),s(X4,X2))
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_373 ),
inference(avatar_component_clause,[],[f6348]) ).
fof(f21989,plain,
( spl4_939
| ~ spl4_86
| ~ spl4_372 ),
inference(avatar_split_clause,[],[f6415,f6344,f934,f21987]) ).
fof(f21987,plain,
( spl4_939
<=> ! [X0,X1] :
( ins(X0,X1,X0,X1) = X1
| ~ le(X0,X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_939])]) ).
fof(f934,plain,
( spl4_86
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).
fof(f6344,plain,
( spl4_372
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| ins(X0,X2,X0,X1) = X2
| ~ s_t(X0,X2,ins(X0,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_372])]) ).
fof(f6415,plain,
( ! [X0,X1] :
( ins(X0,X1,X0,X1) = X1
| ~ le(X0,X1,X0,X1) )
| ~ spl4_86
| ~ spl4_372 ),
inference(duplicate_literal_removal,[],[f6408]) ).
fof(f6408,plain,
( ! [X0,X1] :
( ins(X0,X1,X0,X1) = X1
| ~ le(X0,X1,X0,X1)
| ~ le(X0,X1,X0,X1) )
| ~ spl4_86
| ~ spl4_372 ),
inference(resolution,[],[f6345,f935]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) )
| ~ spl4_86 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f6345,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X2,ins(X0,X2,X0,X1))
| ins(X0,X2,X0,X1) = X2
| ~ le(X0,X1,X0,X2) )
| ~ spl4_372 ),
inference(avatar_component_clause,[],[f6344]) ).
fof(f21971,plain,
( spl4_938
| ~ spl4_238
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6312,f6082,f2980,f21969]) ).
fof(f21969,plain,
( spl4_938
<=> ! [X2,X0,X1] :
( s_t(X0,X2,ins(X0,X1,X0,X1))
| ~ s_t(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_938])]) ).
fof(f2980,plain,
( spl4_238
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_238])]) ).
fof(f6312,plain,
( ! [X2,X0,X1] :
( s_t(X0,X2,ins(X0,X1,X0,X1))
| ~ s_t(X0,X2,X1) )
| ~ spl4_238
| ~ spl4_369 ),
inference(superposition,[],[f2981,f6083]) ).
fof(f2981,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| ~ s_t(X0,X1,X2) )
| ~ spl4_238 ),
inference(avatar_component_clause,[],[f2980]) ).
fof(f21967,plain,
( spl4_937
| ~ spl4_237
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6311,f6082,f2976,f21965]) ).
fof(f21965,plain,
( spl4_937
<=> ! [X2,X0,X1] :
( ~ s_t(X2,X0,ins(X0,X1,X0,X1))
| s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_937])]) ).
fof(f2976,plain,
( spl4_237
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_237])]) ).
fof(f6311,plain,
( ! [X2,X0,X1] :
( ~ s_t(X2,X0,ins(X0,X1,X0,X1))
| s_t(X2,X0,X1) )
| ~ spl4_237
| ~ spl4_369 ),
inference(superposition,[],[f2977,f6083]) ).
fof(f2977,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ext(X1,X2,X3,X4))
| s_t(X0,X1,X2) )
| ~ spl4_237 ),
inference(avatar_component_clause,[],[f2976]) ).
fof(f21963,plain,
( spl4_936
| ~ spl4_236
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6310,f6082,f2963,f21961]) ).
fof(f21961,plain,
( spl4_936
<=> ! [X2,X0,X1] :
( s_t(X2,X1,ins(X0,X1,X0,X1))
| ~ s_t(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_936])]) ).
fof(f2963,plain,
( spl4_236
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_236])]) ).
fof(f6310,plain,
( ! [X2,X0,X1] :
( s_t(X2,X1,ins(X0,X1,X0,X1))
| ~ s_t(X0,X2,X1) )
| ~ spl4_236
| ~ spl4_369 ),
inference(superposition,[],[f2964,f6083]) ).
fof(f2964,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(X2,X0,X1) )
| ~ spl4_236 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f21959,plain,
( spl4_935
| ~ spl4_11
| ~ spl4_304 ),
inference(avatar_split_clause,[],[f4728,f4602,f460,f21957]) ).
fof(f21957,plain,
( spl4_935
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X1,X2,X2,X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_935])]) ).
fof(f4602,plain,
( spl4_304
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X3,X2)
| ip(X1,X3,X2,X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_304])]) ).
fof(f4728,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X1,X2,X2,X0,X1) = X1 )
| ~ spl4_11
| ~ spl4_304 ),
inference(resolution,[],[f4603,f461]) ).
fof(f4603,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2)
| ip(X1,X3,X2,X0,X1) = X1 )
| ~ spl4_304 ),
inference(avatar_component_clause,[],[f4602]) ).
fof(f21955,plain,
( spl4_934
| ~ spl4_12
| ~ spl4_304 ),
inference(avatar_split_clause,[],[f4727,f4602,f464,f21953]) ).
fof(f21953,plain,
( spl4_934
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X1,X1,X2,X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_934])]) ).
fof(f464,plain,
( spl4_12
<=> ! [X0,X1] : s_t(X0,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f4727,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X1,X1,X2,X0,X1) = X1 )
| ~ spl4_12
| ~ spl4_304 ),
inference(resolution,[],[f4603,f465]) ).
fof(f465,plain,
( ! [X0,X1] : s_t(X0,X0,X1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f21951,plain,
( spl4_933
| ~ spl4_11
| ~ spl4_302 ),
inference(avatar_split_clause,[],[f4693,f4593,f460,f21949]) ).
fof(f21949,plain,
( spl4_933
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| ip(X2,X0,X0,X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_933])]) ).
fof(f4593,plain,
( spl4_302
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X0,X2)
| ip(X3,X0,X2,X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_302])]) ).
fof(f4693,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| ip(X2,X0,X0,X0,X1) = X0 )
| ~ spl4_11
| ~ spl4_302 ),
inference(resolution,[],[f4594,f461]) ).
fof(f4594,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2)
| ip(X3,X0,X2,X0,X1) = X0 )
| ~ spl4_302 ),
inference(avatar_component_clause,[],[f4593]) ).
fof(f21947,plain,
( spl4_932
| ~ spl4_12
| ~ spl4_302 ),
inference(avatar_split_clause,[],[f4692,f4593,f464,f21945]) ).
fof(f21945,plain,
( spl4_932
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X0,X0,X2,X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_932])]) ).
fof(f4692,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ip(X0,X0,X2,X0,X1) = X0 )
| ~ spl4_12
| ~ spl4_302 ),
inference(resolution,[],[f4594,f465]) ).
fof(f21943,plain,
( spl4_931
| ~ spl4_179
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4533,f4229,f1892,f21941]) ).
fof(f21941,plain,
( spl4_931
<=> ! [X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X1,X0),X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_931])]) ).
fof(f4533,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(s(X1,X0),X1,X2,X3) )
| ~ spl4_179
| ~ spl4_294 ),
inference(resolution,[],[f4230,f1893]) ).
fof(f21939,plain,
( spl4_930
| ~ spl4_178
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4525,f4229,f1888,f21937]) ).
fof(f21937,plain,
( spl4_930
<=> ! [X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,s(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_930])]) ).
fof(f1888,plain,
( spl4_178
<=> ! [X0,X1] : s_e(X0,X1,X0,s(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_178])]) ).
fof(f4525,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,s(X0,X1),X2,X3) )
| ~ spl4_178
| ~ spl4_294 ),
inference(resolution,[],[f4230,f1889]) ).
fof(f1889,plain,
( ! [X0,X1] : s_e(X0,X1,X0,s(X0,X1))
| ~ spl4_178 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f21935,plain,
( spl4_929
| ~ spl4_195
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3840,f3450,f2061,f21933]) ).
fof(f21933,plain,
( spl4_929
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_t(X2,s(X1,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_929])]) ).
fof(f2061,plain,
( spl4_195
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_195])]) ).
fof(f3840,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_t(X2,s(X1,X0),X3) )
| ~ spl4_195
| ~ spl4_266 ),
inference(resolution,[],[f3451,f2062]) ).
fof(f2062,plain,
( ! [X2,X0,X1] :
( ~ s_t(X1,X0,X1)
| s_t(X0,X1,X2) )
| ~ spl4_195 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f21922,plain,
( spl4_928
| ~ spl4_196
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3839,f3450,f2065,f21920]) ).
fof(f21920,plain,
( spl4_928
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_t(s(X1,X0),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_928])]) ).
fof(f2065,plain,
( spl4_196
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_196])]) ).
fof(f3839,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s_t(s(X1,X0),X2,X3) )
| ~ spl4_196
| ~ spl4_266 ),
inference(resolution,[],[f3451,f2066]) ).
fof(f2066,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_t(X0,X1,X2) )
| ~ spl4_196 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f21918,plain,
( spl4_927
| ~ spl4_24
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3240,f2996,f513,f21916]) ).
fof(f21916,plain,
( spl4_927
<=> ! [X2,X0,X1] :
( s_t(s(X0,X2),X1,X0)
| ~ s_t(X2,s(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_927])]) ).
fof(f3240,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X2),X1,X0)
| ~ s_t(X2,s(X0,X1),X0) )
| ~ spl4_24
| ~ spl4_242 ),
inference(superposition,[],[f2997,f514]) ).
fof(f21914,plain,
( spl4_926
| ~ spl4_24
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3237,f2996,f513,f21912]) ).
fof(f21912,plain,
( spl4_926
<=> ! [X2,X0,X1] :
( s_t(X1,s(X0,X2),X0)
| ~ s_t(s(X0,X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_926])]) ).
fof(f3237,plain,
( ! [X2,X0,X1] :
( s_t(X1,s(X0,X2),X0)
| ~ s_t(s(X0,X1),X2,X0) )
| ~ spl4_24
| ~ spl4_242 ),
inference(superposition,[],[f2997,f514]) ).
fof(f21910,plain,
( spl4_925
| ~ spl4_43
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3221,f2996,f598,f21908]) ).
fof(f598,plain,
( spl4_43
<=> ! [X2,X0,X1] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f3221,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,s(X2,X1),s(X2,X0)) )
| ~ spl4_43
| ~ spl4_242 ),
inference(resolution,[],[f2997,f599]) ).
fof(f599,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) )
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f21906,plain,
( spl4_924
| ~ spl4_35
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3220,f2996,f564,f21904]) ).
fof(f21904,plain,
( spl4_924
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X2,X1),X2,s(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_924])]) ).
fof(f564,plain,
( spl4_35
<=> ! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f3220,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X2,X1),X2,s(X2,X0)) )
| ~ spl4_35
| ~ spl4_242 ),
inference(resolution,[],[f2997,f565]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f21902,plain,
( spl4_923
| ~ spl4_34
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3219,f2996,f560,f21900]) ).
fof(f21900,plain,
( spl4_923
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X2,s(X2,X0),s(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_923])]) ).
fof(f560,plain,
( spl4_34
<=> ! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f3219,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X2,s(X2,X0),s(X2,X1)) )
| ~ spl4_34
| ~ spl4_242 ),
inference(resolution,[],[f2997,f561]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f21898,plain,
( spl4_922
| ~ spl4_33
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3218,f2996,f556,f21896]) ).
fof(f21896,plain,
( spl4_922
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X2,X0),s(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_922])]) ).
fof(f556,plain,
( spl4_33
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f3218,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X2,X0),s(X2,X1),X2) )
| ~ spl4_33
| ~ spl4_242 ),
inference(resolution,[],[f2997,f557]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f21894,plain,
( spl4_921
| ~ spl4_24
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3209,f2992,f513,f21892]) ).
fof(f21892,plain,
( spl4_921
<=> ! [X2,X0,X1] :
( s_t(s(X0,X2),X0,X1)
| ~ s_t(X2,X0,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_921])]) ).
fof(f3209,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X2),X0,X1)
| ~ s_t(X2,X0,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_241 ),
inference(superposition,[],[f2993,f514]) ).
fof(f21890,plain,
( spl4_920
| ~ spl4_24
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3206,f2992,f513,f21888]) ).
fof(f21888,plain,
( spl4_920
<=> ! [X2,X0,X1] :
( s_t(X1,X0,s(X0,X2))
| ~ s_t(s(X0,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_920])]) ).
fof(f3206,plain,
( ! [X2,X0,X1] :
( s_t(X1,X0,s(X0,X2))
| ~ s_t(s(X0,X1),X0,X2) )
| ~ spl4_24
| ~ spl4_241 ),
inference(superposition,[],[f2993,f514]) ).
fof(f21886,plain,
( spl4_919
| ~ spl4_43
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3190,f2992,f598,f21884]) ).
fof(f3190,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X1,X2),X1,s(X1,X0)) )
| ~ spl4_43
| ~ spl4_241 ),
inference(resolution,[],[f2993,f599]) ).
fof(f21873,plain,
( spl4_918
| ~ spl4_35
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3189,f2992,f564,f21871]) ).
fof(f21871,plain,
( spl4_918
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X1,s(X1,X2),s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_918])]) ).
fof(f3189,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X1,s(X1,X2),s(X1,X0)) )
| ~ spl4_35
| ~ spl4_241 ),
inference(resolution,[],[f2993,f565]) ).
fof(f21869,plain,
( spl4_917
| ~ spl4_34
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3188,f2992,f560,f21867]) ).
fof(f21867,plain,
( spl4_917
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X1,X2),s(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_917])]) ).
fof(f3188,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X1,X2),s(X1,X0),X1) )
| ~ spl4_34
| ~ spl4_241 ),
inference(resolution,[],[f2993,f561]) ).
fof(f21865,plain,
( spl4_916
| ~ spl4_33
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3187,f2992,f556,f21863]) ).
fof(f21863,plain,
( spl4_916
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X1,X0),X1,s(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_916])]) ).
fof(f3187,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X1,X0),X1,s(X1,X2)) )
| ~ spl4_33
| ~ spl4_241 ),
inference(resolution,[],[f2993,f557]) ).
fof(f21861,plain,
( spl4_915
| ~ spl4_197
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3183,f2992,f2069,f21859]) ).
fof(f21859,plain,
( spl4_915
<=> ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| s_m(s(X1,X0),X1,s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_915])]) ).
fof(f3183,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| s_m(s(X1,X0),X1,s(X1,X0)) )
| ~ spl4_197
| ~ spl4_241 ),
inference(resolution,[],[f2993,f2070]) ).
fof(f21857,plain,
( spl4_914
| ~ spl4_24
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3168,f2988,f513,f21855]) ).
fof(f21855,plain,
( spl4_914
<=> ! [X2,X0,X1] :
( s_t(X0,s(X0,X2),X1)
| ~ s_t(X0,X2,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_914])]) ).
fof(f3168,plain,
( ! [X2,X0,X1] :
( s_t(X0,s(X0,X2),X1)
| ~ s_t(X0,X2,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_240 ),
inference(superposition,[],[f2989,f514]) ).
fof(f21853,plain,
( spl4_913
| ~ spl4_24
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3165,f2988,f513,f21851]) ).
fof(f3165,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,s(X0,X2))
| ~ s_t(X0,s(X0,X1),X2) )
| ~ spl4_24
| ~ spl4_240 ),
inference(superposition,[],[f2989,f514]) ).
fof(f21849,plain,
( spl4_912
| ~ spl4_43
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3149,f2988,f598,f21847]) ).
fof(f3149,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X0,X2),s(X0,X1),X0) )
| ~ spl4_43
| ~ spl4_240 ),
inference(resolution,[],[f2989,f599]) ).
fof(f21845,plain,
( spl4_911
| ~ spl4_35
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3148,f2988,f564,f21843]) ).
fof(f21843,plain,
( spl4_911
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X0,X1),s(X0,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_911])]) ).
fof(f3148,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X0,X1),s(X0,X2),X0) )
| ~ spl4_35
| ~ spl4_240 ),
inference(resolution,[],[f2989,f565]) ).
fof(f21841,plain,
( spl4_910
| ~ spl4_34
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3147,f2988,f560,f21839]) ).
fof(f21839,plain,
( spl4_910
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X0,X2),X0,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_910])]) ).
fof(f3147,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X0,X2),X0,s(X0,X1)) )
| ~ spl4_34
| ~ spl4_240 ),
inference(resolution,[],[f2989,f561]) ).
fof(f21837,plain,
( spl4_909
| ~ spl4_33
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3146,f2988,f556,f21835]) ).
fof(f21835,plain,
( spl4_909
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,s(X0,X1),s(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_909])]) ).
fof(f3146,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,s(X0,X1),s(X0,X2)) )
| ~ spl4_33
| ~ spl4_240 ),
inference(resolution,[],[f2989,f557]) ).
fof(f21833,plain,
( ~ spl4_908
| ~ spl4_32
| ~ spl4_774 ),
inference(avatar_split_clause,[],[f20707,f18482,f552,f21830]) ).
fof(f21830,plain,
( spl4_908
<=> s_t(sK3,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_908])]) ).
fof(f18482,plain,
( spl4_774
<=> sameside(sK3,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_774])]) ).
fof(f20707,plain,
( ~ s_t(sK3,sK1,sK3)
| ~ spl4_32
| ~ spl4_774 ),
inference(resolution,[],[f18484,f553]) ).
fof(f18484,plain,
( sameside(sK3,sK1,sK3)
| ~ spl4_774 ),
inference(avatar_component_clause,[],[f18482]) ).
fof(f21828,plain,
( spl4_907
| ~ spl4_43
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3044,f2980,f598,f21826]) ).
fof(f21826,plain,
( spl4_907
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(ext(X0,X2,X3,X4),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_907])]) ).
fof(f3044,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(ext(X0,X2,X3,X4),X1,X0) )
| ~ spl4_43
| ~ spl4_238 ),
inference(resolution,[],[f2981,f599]) ).
fof(f21824,plain,
( spl4_906
| ~ spl4_35
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3043,f2980,f564,f21822]) ).
fof(f21822,plain,
( spl4_906
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X1,ext(X0,X2,X3,X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_906])]) ).
fof(f3043,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(X1,ext(X0,X2,X3,X4),X0) )
| ~ spl4_35
| ~ spl4_238 ),
inference(resolution,[],[f2981,f565]) ).
fof(f21820,plain,
( spl4_905
| ~ spl4_34
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3042,f2980,f560,f21818]) ).
fof(f21818,plain,
( spl4_905
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(ext(X0,X2,X3,X4),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_905])]) ).
fof(f3042,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(ext(X0,X2,X3,X4),X0,X1) )
| ~ spl4_34
| ~ spl4_238 ),
inference(resolution,[],[f2981,f561]) ).
fof(f21816,plain,
( spl4_904
| ~ spl4_33
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3041,f2980,f556,f21814]) ).
fof(f21814,plain,
( spl4_904
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,ext(X0,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_904])]) ).
fof(f3041,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,ext(X0,X2,X3,X4)) )
| ~ spl4_33
| ~ spl4_238 ),
inference(resolution,[],[f2981,f557]) ).
fof(f21812,plain,
( spl4_903
| ~ spl4_189
| ~ spl4_237 ),
inference(avatar_split_clause,[],[f3034,f2976,f2036,f21810]) ).
fof(f21810,plain,
( spl4_903
<=> ! [X2,X3,X4,X0,X5,X1] : s_t(ext(ext(X0,X1,X2,X3),X0,X4,X5),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_903])]) ).
fof(f3034,plain,
( ! [X2,X3,X0,X1,X4,X5] : s_t(ext(ext(X0,X1,X2,X3),X0,X4,X5),X0,X1)
| ~ spl4_189
| ~ spl4_237 ),
inference(resolution,[],[f2977,f2037]) ).
fof(f21808,plain,
( spl4_902
| ~ spl4_43
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3008,f2963,f598,f21806]) ).
fof(f21806,plain,
( spl4_902
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_t(ext(X0,X2,X3,X4),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_902])]) ).
fof(f3008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(ext(X0,X2,X3,X4),X2,X1) )
| ~ spl4_43
| ~ spl4_236 ),
inference(resolution,[],[f2964,f599]) ).
fof(f21804,plain,
( spl4_901
| ~ spl4_35
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3007,f2963,f564,f21802]) ).
fof(f21802,plain,
( spl4_901
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X2,ext(X0,X2,X3,X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_901])]) ).
fof(f3007,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(X2,ext(X0,X2,X3,X4),X1) )
| ~ spl4_35
| ~ spl4_236 ),
inference(resolution,[],[f2964,f565]) ).
fof(f21800,plain,
( spl4_900
| ~ spl4_34
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3006,f2963,f560,f21798]) ).
fof(f21798,plain,
( spl4_900
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(ext(X0,X2,X3,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_900])]) ).
fof(f3006,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(ext(X0,X2,X3,X4),X1,X2) )
| ~ spl4_34
| ~ spl4_236 ),
inference(resolution,[],[f2964,f561]) ).
fof(f21796,plain,
( spl4_899
| ~ spl4_33
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3005,f2963,f556,f21794]) ).
fof(f21794,plain,
( spl4_899
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X1,X2,ext(X0,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_899])]) ).
fof(f3005,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_col(X1,X2,ext(X0,X2,X3,X4)) )
| ~ spl4_33
| ~ spl4_236 ),
inference(resolution,[],[f2964,f557]) ).
fof(f21792,plain,
( spl4_898
| ~ spl4_100
| ~ spl4_196 ),
inference(avatar_split_clause,[],[f2175,f2065,f1015,f21790]) ).
fof(f21790,plain,
( spl4_898
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X1),s(X0,X2),X3)
| ~ s_t(X1,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_898])]) ).
fof(f2175,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X1),s(X0,X2),X3)
| ~ s_t(X1,X2,X1) )
| ~ spl4_100
| ~ spl4_196 ),
inference(resolution,[],[f2066,f1016]) ).
fof(f21788,plain,
( ~ spl4_897
| ~ spl4_32
| ~ spl4_758 ),
inference(avatar_split_clause,[],[f20394,f18057,f552,f21785]) ).
fof(f21785,plain,
( spl4_897
<=> s_t(sK1,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_897])]) ).
fof(f18057,plain,
( spl4_758
<=> sameside(sK1,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_758])]) ).
fof(f20394,plain,
( ~ s_t(sK1,sK3,sK1)
| ~ spl4_32
| ~ spl4_758 ),
inference(resolution,[],[f18059,f553]) ).
fof(f18059,plain,
( sameside(sK1,sK3,sK1)
| ~ spl4_758 ),
inference(avatar_component_clause,[],[f18057]) ).
fof(f21783,plain,
( spl4_896
| ~ spl4_100
| ~ spl4_195 ),
inference(avatar_split_clause,[],[f2164,f2061,f1015,f21781]) ).
fof(f21781,plain,
( spl4_896
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X1),s(X0,X2),X3)
| ~ s_t(X2,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_896])]) ).
fof(f2164,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X1),s(X0,X2),X3)
| ~ s_t(X2,X1,X2) )
| ~ spl4_100
| ~ spl4_195 ),
inference(resolution,[],[f2062,f1016]) ).
fof(f21779,plain,
( spl4_895
| ~ spl4_71
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2078,f2036,f818,f21777]) ).
fof(f21777,plain,
( spl4_895
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(ext(X2,X1,X3,X4),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_895])]) ).
fof(f818,plain,
( spl4_71
<=> ! [X0,X3,X2,X1] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).
fof(f2078,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| ~ s_t(ext(X2,X1,X3,X4),X0,X1) )
| ~ spl4_71
| ~ spl4_189 ),
inference(resolution,[],[f2037,f819]) ).
fof(f819,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X2,X3)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_71 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f21775,plain,
( spl4_894
| ~ spl4_70
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2077,f2036,f814,f21773]) ).
fof(f21773,plain,
( spl4_894
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,ext(X2,X1,X3,X4),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_894])]) ).
fof(f814,plain,
( spl4_70
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).
fof(f2077,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| ~ s_t(X0,ext(X2,X1,X3,X4),X2) )
| ~ spl4_70
| ~ spl4_189 ),
inference(resolution,[],[f2037,f815]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X1,X3,X2)
| s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_70 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f21771,plain,
( spl4_893
| ~ spl4_122
| ~ spl4_179 ),
inference(avatar_split_clause,[],[f1988,f1892,f1177,f21769]) ).
fof(f21769,plain,
( spl4_893
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),X2)
| ~ s_e(X3,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_893])]) ).
fof(f1988,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,s(X2,X3),X2)
| ~ s_e(X3,X2,X0,X1) )
| ~ spl4_122
| ~ spl4_179 ),
inference(resolution,[],[f1893,f1178]) ).
fof(f21767,plain,
( spl4_892
| ~ spl4_121
| ~ spl4_179 ),
inference(avatar_split_clause,[],[f1987,f1892,f1173,f21765]) ).
fof(f21765,plain,
( spl4_892
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),X2)
| ~ s_e(X0,X1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_892])]) ).
fof(f1987,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,s(X2,X3),X2)
| ~ s_e(X0,X1,X3,X2) )
| ~ spl4_121
| ~ spl4_179 ),
inference(resolution,[],[f1893,f1174]) ).
fof(f21763,plain,
( spl4_891
| ~ spl4_122
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1964,f1888,f1177,f21761]) ).
fof(f21761,plain,
( spl4_891
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X2,X3))
| ~ s_e(X2,X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_891])]) ).
fof(f1964,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,s(X2,X3))
| ~ s_e(X2,X3,X0,X1) )
| ~ spl4_122
| ~ spl4_178 ),
inference(resolution,[],[f1889,f1178]) ).
fof(f21759,plain,
( spl4_890
| ~ spl4_121
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1963,f1888,f1173,f21757]) ).
fof(f21757,plain,
( spl4_890
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X2,X3))
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_890])]) ).
fof(f1963,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,s(X2,X3))
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_121
| ~ spl4_178 ),
inference(resolution,[],[f1889,f1174]) ).
fof(f21755,plain,
( spl4_889
| ~ spl4_97
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1874,f1862,f1003,f21753]) ).
fof(f21753,plain,
( spl4_889
<=> ! [X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,s(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_889])]) ).
fof(f1003,plain,
( spl4_97
<=> ! [X2,X0,X1] :
( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).
fof(f1874,plain,
( ! [X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,s(X1,X0)) )
| ~ spl4_97
| ~ spl4_177 ),
inference(resolution,[],[f1863,f1004]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| xb = X1
| X0 = X1
| sameside(X0,X1,X2) )
| ~ spl4_97 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f21751,plain,
( spl4_888
| ~ spl4_70
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1870,f1862,f814,f21749]) ).
fof(f21749,plain,
( spl4_888
<=> ! [X2,X0,X1] :
( s_t(X0,X1,s(X1,X2))
| ~ s_t(X0,X2,s(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_888])]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,s(X1,X2))
| ~ s_t(X0,X2,s(X1,X2)) )
| ~ spl4_70
| ~ spl4_177 ),
inference(resolution,[],[f1863,f815]) ).
fof(f21746,plain,
( spl4_887
| ~ spl4_123
| ~ spl4_496 ),
inference(avatar_split_clause,[],[f10466,f10249,f1223,f21744]) ).
fof(f21744,plain,
( spl4_887
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK0),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(ip(X0,X1,X2,X3,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_887])]) ).
fof(f10249,plain,
( spl4_496
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X1,X5,ip(X3,X4,X2,X0,X1))
| s_t(X1,ip(X3,X4,X2,X0,X1),X5)
| ~ s_t(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_496])]) ).
fof(f10466,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK0),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(ip(X0,X1,X2,X3,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_496 ),
inference(resolution,[],[f10250,f1224]) ).
fof(f10250,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X1,ip(X3,X4,X2,X0,X1),X5)
| s_t(X1,X5,ip(X3,X4,X2,X0,X1))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X1,X5,X3) )
| ~ spl4_496 ),
inference(avatar_component_clause,[],[f10249]) ).
fof(f21742,plain,
( ~ spl4_886
| ~ spl4_32
| ~ spl4_719 ),
inference(avatar_split_clause,[],[f19155,f17762,f552,f21739]) ).
fof(f21739,plain,
( spl4_886
<=> s_t(sK3,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_886])]) ).
fof(f17762,plain,
( spl4_719
<=> sameside(sK3,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_719])]) ).
fof(f19155,plain,
( ~ s_t(sK3,sK0,sK3)
| ~ spl4_32
| ~ spl4_719 ),
inference(resolution,[],[f17764,f553]) ).
fof(f17764,plain,
( sameside(sK3,sK0,sK3)
| ~ spl4_719 ),
inference(avatar_component_clause,[],[f17762]) ).
fof(f21736,plain,
( spl4_885
| ~ spl4_137
| ~ spl4_496 ),
inference(avatar_split_clause,[],[f10465,f10249,f1347,f21734]) ).
fof(f21734,plain,
( spl4_885
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK0),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ip(X0,X1,X2,X3,s(sK3,sK0)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_885])]) ).
fof(f10465,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK0)))
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK0),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ip(X0,X1,X2,X3,s(sK3,sK0)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_496 ),
inference(resolution,[],[f10250,f1348]) ).
fof(f21731,plain,
( spl4_884
| ~ spl4_123
| ~ spl4_495 ),
inference(avatar_split_clause,[],[f10348,f10245,f1223,f21729]) ).
fof(f21729,plain,
( spl4_884
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,X2,X3))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(ip(X0,s(sK3,sK0),X1,X2,X3),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_884])]) ).
fof(f10245,plain,
( spl4_495
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X4,X5,ip(X3,X4,X2,X0,X1))
| s_t(X4,ip(X3,X4,X2,X0,X1),X5)
| ~ s_t(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_495])]) ).
fof(f10348,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,X2,X3))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(ip(X0,s(sK3,sK0),X1,X2,X3),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_495 ),
inference(resolution,[],[f10246,f1224]) ).
fof(f10246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X4,ip(X3,X4,X2,X0,X1),X5)
| s_t(X4,X5,ip(X3,X4,X2,X0,X1))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X4,X5,X0) )
| ~ spl4_495 ),
inference(avatar_component_clause,[],[f10245]) ).
fof(f21726,plain,
( spl4_883
| ~ spl4_137
| ~ spl4_495 ),
inference(avatar_split_clause,[],[f10347,f10245,f1347,f21724]) ).
fof(f21724,plain,
( spl4_883
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,X2,X3))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,X2,X3),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_883])]) ).
fof(f10347,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,X2,X3))
| ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,X2,X3),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_495 ),
inference(resolution,[],[f10246,f1348]) ).
fof(f21721,plain,
( spl4_882
| ~ spl4_123
| ~ spl4_485 ),
inference(avatar_split_clause,[],[f10008,f9684,f1223,f21719]) ).
fof(f21719,plain,
( spl4_882
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,s(sK3,sK0),X2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(s(sK3,sK0),X2,X0,X1)
| s_t(ins(X0,X1,s(sK3,sK0),X2),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_882])]) ).
fof(f9684,plain,
( spl4_485
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X4))
| s_t(X0,ins(X2,X3,X0,X4),X1)
| ~ s_t(X0,X4,X1)
| X0 = X4
| ~ le(X0,X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_485])]) ).
fof(f10008,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,s(sK3,sK0),X2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(s(sK3,sK0),X2,X0,X1)
| s_t(ins(X0,X1,s(sK3,sK0),X2),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_485 ),
inference(resolution,[],[f9685,f1224]) ).
fof(f9685,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ins(X2,X3,X0,X4),X1)
| s_t(X0,X1,ins(X2,X3,X0,X4))
| ~ s_t(X0,X4,X1)
| X0 = X4
| ~ le(X0,X4,X2,X3) )
| ~ spl4_485 ),
inference(avatar_component_clause,[],[f9684]) ).
fof(f21716,plain,
( spl4_881
| ~ spl4_137
| ~ spl4_485 ),
inference(avatar_split_clause,[],[f10007,f9684,f1347,f21714]) ).
fof(f21714,plain,
( spl4_881
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,s(sK3,sK0),X2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(s(sK3,sK0),X2,X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK0),X2),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_881])]) ).
fof(f10007,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,s(sK3,sK0),X2))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(s(sK3,sK0),X2,X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK0),X2),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_485 ),
inference(resolution,[],[f9685,f1348]) ).
fof(f21711,plain,
( spl4_880
| ~ spl4_123
| ~ spl4_484 ),
inference(avatar_split_clause,[],[f9892,f9680,f1223,f21709]) ).
fof(f21709,plain,
( spl4_880
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,X2,s(sK3,sK0)))
| ~ s_t(X2,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(X2,s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,X2,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_880])]) ).
fof(f9680,plain,
( spl4_484
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),X1)
| ~ s_t(X4,X0,X1)
| X0 = X4
| ~ le(X4,X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_484])]) ).
fof(f9892,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,X2,s(sK3,sK0)))
| ~ s_t(X2,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(X2,s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,X2,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_484 ),
inference(resolution,[],[f9681,f1224]) ).
fof(f9681,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ins(X2,X3,X4,X0),X1)
| s_t(X0,X1,ins(X2,X3,X4,X0))
| ~ s_t(X4,X0,X1)
| X0 = X4
| ~ le(X4,X0,X2,X3) )
| ~ spl4_484 ),
inference(avatar_component_clause,[],[f9680]) ).
fof(f21706,plain,
( spl4_879
| ~ spl4_137
| ~ spl4_484 ),
inference(avatar_split_clause,[],[f9891,f9680,f1347,f21704]) ).
fof(f21704,plain,
( spl4_879
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,X2,s(sK3,sK0)))
| ~ s_t(X2,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(X2,s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,X2,s(sK3,sK0)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_879])]) ).
fof(f9891,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ins(X0,X1,X2,s(sK3,sK0)))
| ~ s_t(X2,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X2
| ~ le(X2,s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),ins(X0,X1,X2,s(sK3,sK0)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_484 ),
inference(resolution,[],[f9681,f1348]) ).
fof(f21699,plain,
( spl4_878
| ~ spl4_176
| ~ spl4_448 ),
inference(avatar_split_clause,[],[f8918,f8773,f1856,f21697]) ).
fof(f21697,plain,
( spl4_878
<=> ! [X0] :
( ~ s_t(sK0,X0,sK2)
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_878])]) ).
fof(f8773,plain,
( spl4_448
<=> ! [X0,X3,X2,X1] :
( s_t(s(X0,X1),ext(ext(s(X0,X2),s(X0,X1),alpha,gamma),s(X0,X1),X1,X3),s(X0,X2))
| ~ s_t(X1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_448])]) ).
fof(f8918,plain,
( ! [X0] :
( ~ s_t(sK0,X0,sK2)
| s_t(s(sK3,sK0),s(sK3,sK1),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK2),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_448 ),
inference(resolution,[],[f8774,f1857]) ).
fof(f8774,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X1),ext(ext(s(X0,X2),s(X0,X1),alpha,gamma),s(X0,X1),X1,X3),s(X0,X2))
| ~ s_t(X1,X3,X2) )
| ~ spl4_448 ),
inference(avatar_component_clause,[],[f8773]) ).
fof(f21693,plain,
( spl4_877
| ~ spl4_187
| ~ spl4_392 ),
inference(avatar_split_clause,[],[f6995,f6694,f2028,f21691]) ).
fof(f21691,plain,
( spl4_877
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ip(X0,X1,X2,X3,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_877])]) ).
fof(f6694,plain,
( spl4_392
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,X1,ip(X3,X4,X2,X0,X1))
| ~ s_t(X5,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_392])]) ).
fof(f6995,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ip(X0,X1,X2,X3,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ip(X0,X1,X2,X3,s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_392 ),
inference(resolution,[],[f6695,f2029]) ).
fof(f6695,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,X1,ip(X3,X4,X2,X0,X1))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X5,X1,X3) )
| ~ spl4_392 ),
inference(avatar_component_clause,[],[f6694]) ).
fof(f21687,plain,
( spl4_876
| ~ spl4_188
| ~ spl4_392 ),
inference(avatar_split_clause,[],[f6994,f6694,f2032,f21685]) ).
fof(f21685,plain,
( spl4_876
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ip(X0,X1,X2,X3,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ip(X0,X1,X2,X3,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_876])]) ).
fof(f6994,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,s(sK3,sK1),X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ip(X0,X1,X2,X3,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ip(X0,X1,X2,X3,s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_392 ),
inference(resolution,[],[f6695,f2033]) ).
fof(f21677,plain,
( spl4_875
| ~ spl4_176
| ~ spl4_391 ),
inference(avatar_split_clause,[],[f6957,f6690,f1856,f21675]) ).
fof(f21675,plain,
( spl4_875
<=> ! [X0,X3,X2,X1] :
( ~ s_t(s(sK3,sK2),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK2),X0,X1,X2,X3))
| s_t(s(sK3,sK0),ip(s(sK3,sK2),X0,X1,X2,X3),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_875])]) ).
fof(f6690,plain,
( spl4_391
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X5,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_391])]) ).
fof(f6957,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(sK3,sK2),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK2),X0,X1,X2,X3))
| s_t(s(sK3,sK0),ip(s(sK3,sK2),X0,X1,X2,X3),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_391 ),
inference(resolution,[],[f6691,f1857]) ).
fof(f6691,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X5,X1,X3) )
| ~ spl4_391 ),
inference(avatar_component_clause,[],[f6690]) ).
fof(f21671,plain,
( spl4_874
| ~ spl4_187
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f6891,f6682,f2028,f21669]) ).
fof(f21669,plain,
( spl4_874
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),ip(X0,s(sK3,sK1),X1,X2,X3),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ip(X0,s(sK3,sK1),X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_874])]) ).
fof(f6682,plain,
( spl4_389
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,X4,ip(X3,X4,X2,X0,X1))
| ~ s_t(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_389])]) ).
fof(f6891,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK1),ip(X0,s(sK3,sK1),X1,X2,X3),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ip(X0,s(sK3,sK1),X1,X2,X3)) )
| ~ spl4_187
| ~ spl4_389 ),
inference(resolution,[],[f6683,f2029]) ).
fof(f6683,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,X4,ip(X3,X4,X2,X0,X1))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X5,X4,X0) )
| ~ spl4_389 ),
inference(avatar_component_clause,[],[f6682]) ).
fof(f21665,plain,
( spl4_873
| ~ spl4_188
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f6890,f6682,f2032,f21663]) ).
fof(f21663,plain,
( spl4_873
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK1),X1,X2,X3),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ip(X0,s(sK3,sK1),X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_873])]) ).
fof(f6890,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X2)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK1),X1,X2,X3),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ip(X0,s(sK3,sK1),X1,X2,X3)) )
| ~ spl4_188
| ~ spl4_389 ),
inference(resolution,[],[f6683,f2033]) ).
fof(f21657,plain,
( spl4_872
| ~ spl4_176
| ~ spl4_388 ),
inference(avatar_split_clause,[],[f6854,f6678,f1856,f21655]) ).
fof(f21655,plain,
( spl4_872
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK2),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,s(sK3,sK2),X3))
| s_t(s(sK3,sK0),ip(X0,X1,X2,s(sK3,sK2),X3),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_872])]) ).
fof(f6678,plain,
( spl4_388
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_388])]) ).
fof(f6854,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK2),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,X1,X2,s(sK3,sK2),X3))
| s_t(s(sK3,sK0),ip(X0,X1,X2,s(sK3,sK2),X3),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_388 ),
inference(resolution,[],[f6679,f1857]) ).
fof(f6679,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X5,X4,X0) )
| ~ spl4_388 ),
inference(avatar_component_clause,[],[f6678]) ).
fof(f21651,plain,
( spl4_871
| ~ spl4_187
| ~ spl4_379 ),
inference(avatar_split_clause,[],[f6595,f6373,f2028,f21649]) ).
fof(f21649,plain,
( spl4_871
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ le(s(sK3,sK1),X0,X1,X2)
| s_t(s(sK3,sK1),ins(X1,X2,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_871])]) ).
fof(f6373,plain,
( spl4_379
<=> ! [X2,X4,X0,X3,X1] :
( X0 = X1
| s_t(X2,X0,ins(X3,X4,X0,X1))
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_379])]) ).
fof(f6595,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ le(s(sK3,sK1),X0,X1,X2)
| s_t(s(sK3,sK1),ins(X1,X2,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,s(sK3,sK1),X0)) )
| ~ spl4_187
| ~ spl4_379 ),
inference(resolution,[],[f6374,f2029]) ).
fof(f6374,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,X0,ins(X3,X4,X0,X1))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) )
| ~ spl4_379 ),
inference(avatar_component_clause,[],[f6373]) ).
fof(f21645,plain,
( spl4_870
| ~ spl4_188
| ~ spl4_379 ),
inference(avatar_split_clause,[],[f6594,f6373,f2032,f21643]) ).
fof(f21643,plain,
( spl4_870
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ le(s(sK3,sK1),X0,X1,X2)
| s_t(s(sK3,sK0),ins(X1,X2,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_870])]) ).
fof(f6594,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ le(s(sK3,sK1),X0,X1,X2)
| s_t(s(sK3,sK0),ins(X1,X2,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,s(sK3,sK1),X0)) )
| ~ spl4_188
| ~ spl4_379 ),
inference(resolution,[],[f6374,f2033]) ).
fof(f21639,plain,
( spl4_869
| ~ spl4_187
| ~ spl4_378 ),
inference(avatar_split_clause,[],[f6552,f6369,f2028,f21637]) ).
fof(f21637,plain,
( spl4_869
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ le(X0,s(sK3,sK1),X1,X2)
| s_t(s(sK3,sK1),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_869])]) ).
fof(f6369,plain,
( spl4_378
<=> ! [X2,X4,X0,X3,X1] :
( X0 = X1
| s_t(X2,X1,ins(X3,X4,X0,X1))
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_378])]) ).
fof(f6552,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ le(X0,s(sK3,sK1),X1,X2)
| s_t(s(sK3,sK1),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_378 ),
inference(resolution,[],[f6370,f2029]) ).
fof(f6370,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,X1,ins(X3,X4,X0,X1))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) )
| ~ spl4_378 ),
inference(avatar_component_clause,[],[f6369]) ).
fof(f21633,plain,
( spl4_868
| ~ spl4_188
| ~ spl4_378 ),
inference(avatar_split_clause,[],[f6551,f6369,f2032,f21631]) ).
fof(f21631,plain,
( spl4_868
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ le(X0,s(sK3,sK1),X1,X2)
| s_t(s(sK3,sK0),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_868])]) ).
fof(f6551,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ le(X0,s(sK3,sK1),X1,X2)
| s_t(s(sK3,sK0),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_378 ),
inference(resolution,[],[f6370,f2033]) ).
fof(f21626,plain,
( spl4_867
| ~ spl4_176
| ~ spl4_324 ),
inference(avatar_split_clause,[],[f5201,f4948,f1856,f21624]) ).
fof(f21624,plain,
( spl4_867
<=> ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK2),X1)
| s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK2)))
| s_t(s(sK3,sK0),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK2)),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_867])]) ).
fof(f4948,plain,
( spl4_324
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X3,ip(X3,X4,X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_324])]) ).
fof(f5201,plain,
( ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK2),X1)
| s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK2)))
| s_t(s(sK3,sK0),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK2)),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_324 ),
inference(resolution,[],[f4949,f1857]) ).
fof(f4949,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X3,ip(X3,X4,X2,X0,X1),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_324 ),
inference(avatar_component_clause,[],[f4948]) ).
fof(f21619,plain,
( spl4_866
| ~ spl4_176
| ~ spl4_319 ),
inference(avatar_split_clause,[],[f5134,f4927,f1856,f21617]) ).
fof(f21617,plain,
( spl4_866
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK2),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK2),X1,s(sK3,sK0),X2))
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK2),X1,s(sK3,sK0),X2),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_866])]) ).
fof(f4927,plain,
( spl4_319
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X0,ip(X3,X4,X2,X0,X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_319])]) ).
fof(f5134,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK2),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK2),X1,s(sK3,sK0),X2))
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK2),X1,s(sK3,sK0),X2),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_319 ),
inference(resolution,[],[f4928,f1857]) ).
fof(f4928,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ip(X3,X4,X2,X0,X1),X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_319 ),
inference(avatar_component_clause,[],[f4927]) ).
fof(f21614,plain,
( spl4_865
| ~ spl4_34
| ~ spl4_358 ),
inference(avatar_split_clause,[],[f17991,f5422,f560,f21611]) ).
fof(f17991,plain,
( s_col(sK1,sK3,sK0)
| ~ spl4_34
| ~ spl4_358 ),
inference(resolution,[],[f5423,f561]) ).
fof(f5423,plain,
( s_t(sK3,sK0,sK1)
| ~ spl4_358 ),
inference(avatar_component_clause,[],[f5422]) ).
fof(f21606,plain,
( spl4_864
| ~ spl4_128
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1938,f1856,f1260,f21604]) ).
fof(f21604,plain,
( spl4_864
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,s(sK3,sK2),X2))
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,s(sK3,sK2),X2),s(sK3,sK1))
| ~ s_t(s(sK3,sK2),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_864])]) ).
fof(f1260,plain,
( spl4_128
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_128])]) ).
fof(f1938,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(X0,s(sK3,sK0),X1,s(sK3,sK2),X2))
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,s(sK3,sK2),X2),s(sK3,sK1))
| ~ s_t(s(sK3,sK2),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_128
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1261]) ).
fof(f1261,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_128 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f21599,plain,
( spl4_863
| ~ spl4_129
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1937,f1856,f1264,f21597]) ).
fof(f21597,plain,
( spl4_863
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK2),X0,X1,X2,s(sK3,sK0)))
| s_t(s(sK3,sK0),ip(s(sK3,sK2),X0,X1,X2,s(sK3,sK0)),s(sK3,sK1))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_863])]) ).
fof(f1264,plain,
( spl4_129
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_129])]) ).
fof(f1937,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ip(s(sK3,sK2),X0,X1,X2,s(sK3,sK0)))
| s_t(s(sK3,sK0),ip(s(sK3,sK2),X0,X1,X2,s(sK3,sK0)),s(sK3,sK1))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK2),X0,X1) )
| ~ spl4_129
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1265]) ).
fof(f1265,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_129 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f21594,plain,
( spl4_862
| ~ spl4_123
| ~ spl4_438 ),
inference(avatar_split_clause,[],[f8610,f8166,f1223,f21592]) ).
fof(f21592,plain,
( spl4_862
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,X1,s(sK3,sK0)))
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,X1,s(sK3,sK0))
| s_t(c63(X0,X1,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_862])]) ).
fof(f8166,plain,
( spl4_438
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| s_t(X0,c63(X2,X3,X0),X1)
| ~ s_t(X0,X3,X1)
| X0 = X3
| ~ sameside(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_438])]) ).
fof(f8610,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,X1,s(sK3,sK0)))
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,X1,s(sK3,sK0))
| s_t(c63(X0,X1,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_438 ),
inference(resolution,[],[f8167,f1224]) ).
fof(f8167,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,c63(X2,X3,X0),X1)
| s_t(X0,X1,c63(X2,X3,X0))
| ~ s_t(X0,X3,X1)
| X0 = X3
| ~ sameside(X2,X3,X0) )
| ~ spl4_438 ),
inference(avatar_component_clause,[],[f8166]) ).
fof(f21589,plain,
( spl4_861
| ~ spl4_137
| ~ spl4_438 ),
inference(avatar_split_clause,[],[f8609,f8166,f1347,f21587]) ).
fof(f21587,plain,
( spl4_861
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,X1,s(sK3,sK0)))
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,X1,s(sK3,sK0))
| s_t(s(sK3,sK0),c63(X0,X1,s(sK3,sK0)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_861])]) ).
fof(f8609,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,X1,s(sK3,sK0)))
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,X1,s(sK3,sK0))
| s_t(s(sK3,sK0),c63(X0,X1,s(sK3,sK0)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_438 ),
inference(resolution,[],[f8167,f1348]) ).
fof(f21584,plain,
( spl4_860
| ~ spl4_123
| ~ spl4_437 ),
inference(avatar_split_clause,[],[f8508,f8162,f1223,f21582]) ).
fof(f21582,plain,
( spl4_860
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(s(sK3,sK0),X0,X1))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(c63(s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_860])]) ).
fof(f8162,plain,
( spl4_437
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| s_t(X0,c63(X0,X2,X3),X1)
| ~ s_t(X0,X2,X1)
| X0 = X2
| ~ sameside(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_437])]) ).
fof(f8508,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(s(sK3,sK0),X0,X1))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(c63(s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_437 ),
inference(resolution,[],[f8163,f1224]) ).
fof(f8163,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,c63(X0,X2,X3),X1)
| s_t(X0,X1,c63(X0,X2,X3))
| ~ s_t(X0,X2,X1)
| X0 = X2
| ~ sameside(X0,X2,X3) )
| ~ spl4_437 ),
inference(avatar_component_clause,[],[f8162]) ).
fof(f21579,plain,
( spl4_859
| ~ spl4_137
| ~ spl4_437 ),
inference(avatar_split_clause,[],[f8507,f8162,f1347,f21577]) ).
fof(f21577,plain,
( spl4_859
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(s(sK3,sK0),X0,X1))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK0),X0,X1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_859])]) ).
fof(f8507,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(s(sK3,sK0),X0,X1))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK0),X0,X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_437 ),
inference(resolution,[],[f8163,f1348]) ).
fof(f21574,plain,
( spl4_858
| ~ spl4_123
| ~ spl4_436 ),
inference(avatar_split_clause,[],[f8406,f8158,f1223,f21572]) ).
fof(f21572,plain,
( spl4_858
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X1,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(c63(X0,s(sK3,sK0),X1),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_858])]) ).
fof(f8158,plain,
( spl4_436
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),X1)
| ~ s_t(X3,X0,X1)
| X0 = X3
| ~ sameside(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_436])]) ).
fof(f8406,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X1,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(c63(X0,s(sK3,sK0),X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_436 ),
inference(resolution,[],[f8159,f1224]) ).
fof(f8159,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,c63(X2,X0,X3),X1)
| s_t(X0,X1,c63(X2,X0,X3))
| ~ s_t(X3,X0,X1)
| X0 = X3
| ~ sameside(X2,X0,X3) )
| ~ spl4_436 ),
inference(avatar_component_clause,[],[f8158]) ).
fof(f21569,plain,
( spl4_857
| ~ spl4_137
| ~ spl4_436 ),
inference(avatar_split_clause,[],[f8405,f8158,f1347,f21567]) ).
fof(f21567,plain,
( spl4_857
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X1,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK0),X1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_857])]) ).
fof(f8405,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X1,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X1
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK0),X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_436 ),
inference(resolution,[],[f8159,f1348]) ).
fof(f21564,plain,
( spl4_856
| ~ spl4_123
| ~ spl4_435 ),
inference(avatar_split_clause,[],[f8304,f8154,f1223,f21562]) ).
fof(f21562,plain,
( spl4_856
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(c63(X0,s(sK3,sK0),X1),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_856])]) ).
fof(f8154,plain,
( spl4_435
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),X1)
| ~ s_t(X2,X0,X1)
| X0 = X2
| ~ sameside(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_435])]) ).
fof(f8304,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(c63(X0,s(sK3,sK0),X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_435 ),
inference(resolution,[],[f8155,f1224]) ).
fof(f8155,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,c63(X2,X0,X3),X1)
| s_t(X0,X1,c63(X2,X0,X3))
| ~ s_t(X2,X0,X1)
| X0 = X2
| ~ sameside(X2,X0,X3) )
| ~ spl4_435 ),
inference(avatar_component_clause,[],[f8154]) ).
fof(f21559,plain,
( spl4_855
| ~ spl4_137
| ~ spl4_435 ),
inference(avatar_split_clause,[],[f8303,f8154,f1347,f21557]) ).
fof(f21557,plain,
( spl4_855
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK0),X1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_855])]) ).
fof(f8303,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),c63(X0,s(sK3,sK0),X1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ sameside(X0,s(sK3,sK0),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK0),X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_435 ),
inference(resolution,[],[f8155,f1348]) ).
fof(f21555,plain,
( spl4_854
| ~ spl4_33
| ~ spl4_358 ),
inference(avatar_split_clause,[],[f17990,f5422,f556,f21552]) ).
fof(f17990,plain,
( s_col(sK3,sK0,sK1)
| ~ spl4_33
| ~ spl4_358 ),
inference(resolution,[],[f5423,f557]) ).
fof(f21548,plain,
( spl4_853
| ~ spl4_187
| ~ spl4_339 ),
inference(avatar_split_clause,[],[f5659,f5325,f2028,f21546]) ).
fof(f21546,plain,
( spl4_853
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK1))
| s_t(s(sK3,sK1),c63(X1,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_853])]) ).
fof(f5325,plain,
( spl4_339
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| s_t(X2,X0,c63(X3,X1,X0))
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_339])]) ).
fof(f5659,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK1))
| s_t(s(sK3,sK1),c63(X1,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,X0,s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_339 ),
inference(resolution,[],[f5326,f2029]) ).
fof(f5326,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,X0,c63(X3,X1,X0))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) )
| ~ spl4_339 ),
inference(avatar_component_clause,[],[f5325]) ).
fof(f21542,plain,
( spl4_852
| ~ spl4_188
| ~ spl4_339 ),
inference(avatar_split_clause,[],[f5658,f5325,f2032,f21540]) ).
fof(f21540,plain,
( spl4_852
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK1))
| s_t(s(sK3,sK0),c63(X1,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_852])]) ).
fof(f5658,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK1))
| s_t(s(sK3,sK0),c63(X1,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,X0,s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_339 ),
inference(resolution,[],[f5326,f2033]) ).
fof(f21536,plain,
( spl4_851
| ~ spl4_187
| ~ spl4_338 ),
inference(avatar_split_clause,[],[f5614,f5321,f2028,f21534]) ).
fof(f21534,plain,
( spl4_851
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK1),c63(s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_851])]) ).
fof(f5321,plain,
( spl4_338
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| s_t(X2,X0,c63(X0,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_338])]) ).
fof(f5614,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK1),c63(s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK1),X0,X1)) )
| ~ spl4_187
| ~ spl4_338 ),
inference(resolution,[],[f5322,f2029]) ).
fof(f5322,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,X0,c63(X0,X1,X3))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) )
| ~ spl4_338 ),
inference(avatar_component_clause,[],[f5321]) ).
fof(f21530,plain,
( spl4_850
| ~ spl4_188
| ~ spl4_338 ),
inference(avatar_split_clause,[],[f5613,f5321,f2032,f21528]) ).
fof(f21528,plain,
( spl4_850
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_850])]) ).
fof(f5613,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK1),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK1),X0,X1)) )
| ~ spl4_188
| ~ spl4_338 ),
inference(resolution,[],[f5322,f2033]) ).
fof(f21524,plain,
( spl4_849
| ~ spl4_187
| ~ spl4_337 ),
inference(avatar_split_clause,[],[f5569,f5317,f2028,f21522]) ).
fof(f21522,plain,
( spl4_849
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK1),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_849])]) ).
fof(f5317,plain,
( spl4_337
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| s_t(X2,X1,c63(X3,X1,X0))
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_337])]) ).
fof(f5569,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK1),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) )
| ~ spl4_187
| ~ spl4_337 ),
inference(resolution,[],[f5318,f2029]) ).
fof(f5318,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,X1,c63(X3,X1,X0))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) )
| ~ spl4_337 ),
inference(avatar_component_clause,[],[f5317]) ).
fof(f21518,plain,
( spl4_848
| ~ spl4_188
| ~ spl4_337 ),
inference(avatar_split_clause,[],[f5568,f5317,f2032,f21516]) ).
fof(f21516,plain,
( spl4_848
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_848])]) ).
fof(f5568,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) )
| ~ spl4_188
| ~ spl4_337 ),
inference(resolution,[],[f5318,f2033]) ).
fof(f21512,plain,
( spl4_847
| ~ spl4_187
| ~ spl4_336 ),
inference(avatar_split_clause,[],[f5524,f5313,f2028,f21510]) ).
fof(f21510,plain,
( spl4_847
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_847])]) ).
fof(f5313,plain,
( spl4_336
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| s_t(X2,X1,c63(X0,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_336])]) ).
fof(f5524,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) )
| ~ spl4_187
| ~ spl4_336 ),
inference(resolution,[],[f5314,f2029]) ).
fof(f5314,plain,
( ! [X2,X3,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X3))
| X0 = X1
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) )
| ~ spl4_336 ),
inference(avatar_component_clause,[],[f5313]) ).
fof(f21506,plain,
( spl4_846
| ~ spl4_188
| ~ spl4_336 ),
inference(avatar_split_clause,[],[f5523,f5313,f2032,f21504]) ).
fof(f21504,plain,
( spl4_846
<=> ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_846])]) ).
fof(f5523,plain,
( ! [X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) )
| ~ spl4_188
| ~ spl4_336 ),
inference(resolution,[],[f5314,f2033]) ).
fof(f21502,plain,
( spl4_158
| spl4_845
| ~ spl4_60
| ~ spl4_165 ),
inference(avatar_split_clause,[],[f1717,f1708,f725,f21500,f1632]) ).
fof(f21500,plain,
( spl4_845
<=> ! [X0,X3,X2,X1] :
( ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK0))
| s_col(s(sK3,sK1),s(sK3,sK2),X2)
| s(sK3,sK0) = X3
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_845])]) ).
fof(f725,plain,
( spl4_60
<=> s_col(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f1717,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,X2)
| s(sK3,sK0) = X3
| s_col(s(sK3,sK1),s(sK3,sK2),X2)
| ~ s_col(X0,X1,s(sK3,sK0))
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X3)
| ~ s_col(X0,X1,X3)
| s(sK3,sK1) = s(sK3,sK2)
| X0 = X1 )
| ~ spl4_60
| ~ spl4_165 ),
inference(resolution,[],[f1709,f727]) ).
fof(f727,plain,
( s_col(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| ~ spl4_60 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f21474,plain,
( spl4_844
| spl4_612
| ~ spl4_710 ),
inference(avatar_split_clause,[],[f17515,f17075,f15902,f21471]) ).
fof(f15902,plain,
( spl4_612
<=> s_t(xb,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_612])]) ).
fof(f17515,plain,
( sameside(xb,sK3,xb)
| spl4_612
| ~ spl4_710 ),
inference(resolution,[],[f17076,f15903]) ).
fof(f15903,plain,
( ~ s_t(xb,sK3,sK0)
| spl4_612 ),
inference(avatar_component_clause,[],[f15902]) ).
fof(f21469,plain,
( spl4_843
| ~ spl4_250
| ~ spl4_842 ),
inference(avatar_split_clause,[],[f21465,f21461,f3277,f21467]) ).
fof(f21467,plain,
( spl4_843
<=> ! [X0,X3,X2,X1] :
( ~ s_col(s(sK3,sK1),s(sK3,sK0),X3)
| s_col(s(sK3,sK1),s(sK3,sK0),X2)
| ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK1))
| s(sK3,sK1) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_843])]) ).
fof(f21461,plain,
( spl4_842
<=> ! [X0,X3,X2,X1] :
( ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK1))
| s_col(s(sK3,sK2),s(sK3,sK0),X2)
| s(sK3,sK1) = X3
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_842])]) ).
fof(f21465,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(s(sK3,sK1),s(sK3,sK0),X3)
| s_col(s(sK3,sK1),s(sK3,sK0),X2)
| ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK1))
| s(sK3,sK1) = X3 )
| ~ spl4_250
| ~ spl4_842 ),
inference(forward_demodulation,[],[f21464,f3279]) ).
fof(f21464,plain,
( ! [X2,X3,X0,X1] :
( s_col(s(sK3,sK1),s(sK3,sK0),X2)
| ~ s_col(X0,X1,X2)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK1))
| s(sK3,sK1) = X3
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X3) )
| ~ spl4_250
| ~ spl4_842 ),
inference(forward_demodulation,[],[f21462,f3279]) ).
fof(f21462,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(s(sK3,sK2),s(sK3,sK0),X3)
| X0 = X1
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(sK3,sK1))
| s_col(s(sK3,sK2),s(sK3,sK0),X2)
| s(sK3,sK1) = X3
| ~ s_col(X0,X1,X2) )
| ~ spl4_842 ),
inference(avatar_component_clause,[],[f21461]) ).
fof(f21463,plain,
( spl4_273
| spl4_842
| ~ spl4_52
| ~ spl4_165 ),
inference(avatar_split_clause,[],[f1715,f1708,f688,f21461,f3534]) ).
fof(f688,plain,
( spl4_52
<=> s_col(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f1715,plain,
( ! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,X2)
| s(sK3,sK1) = X3
| s_col(s(sK3,sK2),s(sK3,sK0),X2)
| ~ s_col(X0,X1,s(sK3,sK1))
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X3)
| ~ s_col(X0,X1,X3)
| s(sK3,sK0) = s(sK3,sK2)
| X0 = X1 )
| ~ spl4_52
| ~ spl4_165 ),
inference(resolution,[],[f1709,f690]) ).
fof(f690,plain,
( s_col(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f21459,plain,
( spl4_273
| spl4_841
| spl4_158
| spl4_597
| ~ spl4_60
| ~ spl4_162 ),
inference(avatar_split_clause,[],[f1684,f1675,f725,f15457,f1632,f21457,f3534]) ).
fof(f21457,plain,
( spl4_841
<=> ! [X0] :
( sameside(s(sK3,sK1),s(sK3,sK2),X0)
| s(sK3,sK2) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_841])]) ).
fof(f15457,plain,
( spl4_597
<=> sameside(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_597])]) ).
fof(f1684,plain,
( ! [X0] :
( sameside(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| s(sK3,sK1) = s(sK3,sK2)
| sameside(s(sK3,sK1),s(sK3,sK2),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK2),X0)
| s(sK3,sK2) = X0
| s(sK3,sK0) = s(sK3,sK2) )
| ~ spl4_60
| ~ spl4_162 ),
inference(resolution,[],[f1676,f727]) ).
fof(f21077,plain,
( spl4_840
| spl4_612
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17317,f17071,f15902,f21074]) ).
fof(f17317,plain,
( sameside(sK3,xb,sK3)
| spl4_612
| ~ spl4_709 ),
inference(resolution,[],[f17072,f15903]) ).
fof(f20569,plain,
( spl4_839
| ~ spl4_232
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6309,f6082,f2784,f20567]) ).
fof(f20567,plain,
( spl4_839
<=> ! [X0,X1] :
( ~ s_t(X1,X0,ins(X0,X1,X0,X1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_839])]) ).
fof(f2784,plain,
( spl4_232
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ s_t(X0,X1,ext(X1,X0,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_232])]) ).
fof(f6309,plain,
( ! [X0,X1] :
( ~ s_t(X1,X0,ins(X0,X1,X0,X1))
| X0 = X1 )
| ~ spl4_232
| ~ spl4_369 ),
inference(superposition,[],[f2785,f6083]) ).
fof(f2785,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,ext(X1,X0,X2,X3))
| X0 = X1 )
| ~ spl4_232 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f20565,plain,
( spl4_838
| ~ spl4_235
| ~ spl4_238
| ~ spl4_283 ),
inference(avatar_split_clause,[],[f4250,f4185,f2980,f2796,f20563]) ).
fof(f20563,plain,
( spl4_838
<=> ! [X0,X1] :
( ins(X0,X1,X0,X0) = X1
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_838])]) ).
fof(f4185,plain,
( spl4_283
<=> ! [X2,X0,X1] :
( ext(X1,X2,X2,X0) = X0
| ~ s_t(X2,X0,ext(X1,X2,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_283])]) ).
fof(f4250,plain,
( ! [X0,X1] :
( ins(X0,X1,X0,X0) = X1
| ~ s_t(X0,X1,X0) )
| ~ spl4_235
| ~ spl4_238
| ~ spl4_283 ),
inference(forward_demodulation,[],[f4245,f2797]) ).
fof(f4245,plain,
( ! [X0,X1] :
( ext(X0,X0,X0,X1) = X1
| ~ s_t(X0,X1,X0) )
| ~ spl4_238
| ~ spl4_283 ),
inference(resolution,[],[f4186,f2981]) ).
fof(f4186,plain,
( ! [X2,X0,X1] :
( ~ s_t(X2,X0,ext(X1,X2,X2,X0))
| ext(X1,X2,X2,X0) = X0 )
| ~ spl4_283 ),
inference(avatar_component_clause,[],[f4185]) ).
fof(f20561,plain,
( spl4_837
| ~ spl4_178
| ~ spl4_277 ),
inference(avatar_split_clause,[],[f4082,f3554,f1888,f20559]) ).
fof(f20559,plain,
( spl4_837
<=> ! [X0,X3,X2,X1] : s_e(X0,s(X0,ext(X1,X0,X2,X3)),X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_837])]) ).
fof(f4082,plain,
( ! [X2,X3,X0,X1] : s_e(X0,s(X0,ext(X1,X0,X2,X3)),X2,X3)
| ~ spl4_178
| ~ spl4_277 ),
inference(resolution,[],[f3555,f1889]) ).
fof(f20557,plain,
( spl4_836
| ~ spl4_179
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4031,f3546,f1892,f20555]) ).
fof(f20555,plain,
( spl4_836
<=> ! [X2,X0,X1] :
( s_e(s(X0,X1),X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_836])]) ).
fof(f4031,plain,
( ! [X2,X0,X1] :
( s_e(s(X0,X1),X0,X1,X2)
| ~ s_m(X0,X1,X2) )
| ~ spl4_179
| ~ spl4_275 ),
inference(resolution,[],[f3547,f1893]) ).
fof(f20553,plain,
( spl4_835
| ~ spl4_178
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f4023,f3546,f1888,f20551]) ).
fof(f20551,plain,
( spl4_835
<=> ! [X2,X0,X1] :
( s_e(X0,s(X0,X1),X0,X2)
| ~ s_m(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_835])]) ).
fof(f4023,plain,
( ! [X2,X0,X1] :
( s_e(X0,s(X0,X1),X0,X2)
| ~ s_m(X1,X0,X2) )
| ~ spl4_178
| ~ spl4_275 ),
inference(resolution,[],[f3547,f1889]) ).
fof(f20549,plain,
( spl4_834
| ~ spl4_178
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3942,f3458,f1888,f20547]) ).
fof(f20547,plain,
( spl4_834
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(s(X0,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_834])]) ).
fof(f3942,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(s(X0,X1),X0,X2) )
| ~ spl4_178
| ~ spl4_268 ),
inference(resolution,[],[f3459,f1889]) ).
fof(f20545,plain,
( spl4_833
| ~ spl4_27
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3841,f3450,f525,f20543]) ).
fof(f20543,plain,
( spl4_833
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_833])]) ).
fof(f3841,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(X1,X2),X0)
| s(X1,X0) = X2 )
| ~ spl4_27
| ~ spl4_266 ),
inference(resolution,[],[f3451,f526]) ).
fof(f20541,plain,
( spl4_832
| ~ spl4_30
| ~ spl4_251 ),
inference(avatar_split_clause,[],[f3376,f3282,f544,f20539]) ).
fof(f20539,plain,
( spl4_832
<=> ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,s(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_832])]) ).
fof(f544,plain,
( spl4_30
<=> ! [X0,X1] : s_m(s(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f3282,plain,
( spl4_251
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X0,X3)
| ~ s_m(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_251])]) ).
fof(f3376,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,s(X0,X2)) )
| ~ spl4_30
| ~ spl4_251 ),
inference(resolution,[],[f3283,f545]) ).
fof(f545,plain,
( ! [X0,X1] : s_m(s(X0,X1),X0,X1)
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f3283,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X2,X0,X3)
| le(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_251 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f20537,plain,
( spl4_831
| ~ spl4_30
| ~ spl4_248 ),
inference(avatar_split_clause,[],[f3362,f3269,f544,f20535]) ).
fof(f20535,plain,
( spl4_831
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,s(X0,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_831])]) ).
fof(f3269,plain,
( spl4_248
<=> ! [X0,X3,X2,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X3,X2)
| ~ s_m(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_248])]) ).
fof(f3362,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,s(X0,X1),X0,X2) )
| ~ spl4_30
| ~ spl4_248 ),
inference(resolution,[],[f3270,f545]) ).
fof(f3270,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X1,X0,X3)
| ~ s_t(X0,X3,X2)
| le(X0,X1,X0,X2) )
| ~ spl4_248 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f20533,plain,
( spl4_830
| ~ spl4_212
| ~ spl4_239 ),
inference(avatar_split_clause,[],[f3073,f2984,f2289,f20531]) ).
fof(f20531,plain,
( spl4_830
<=> ! [X0,X1] :
( ins(X0,X0,X1,X0) = X1
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_830])]) ).
fof(f2984,plain,
( spl4_239
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ins(X2,X2,X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_239])]) ).
fof(f3073,plain,
( ! [X0,X1] :
( ins(X0,X0,X1,X0) = X1
| ~ s_t(X0,X1,X0) )
| ~ spl4_212
| ~ spl4_239 ),
inference(resolution,[],[f2985,f2290]) ).
fof(f2985,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ins(X2,X2,X0,X1) = X0 )
| ~ spl4_239 ),
inference(avatar_component_clause,[],[f2984]) ).
fof(f20529,plain,
( spl4_829
| ~ spl4_213
| ~ spl4_239 ),
inference(avatar_split_clause,[],[f3068,f2984,f2293,f20527]) ).
fof(f20527,plain,
( spl4_829
<=> ! [X0,X1] :
( ins(X0,X0,X0,X1) = X0
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_829])]) ).
fof(f3068,plain,
( ! [X0,X1] :
( ins(X0,X0,X0,X1) = X0
| ~ s_t(X0,X1,X0) )
| ~ spl4_213
| ~ spl4_239 ),
inference(resolution,[],[f2985,f2294]) ).
fof(f20525,plain,
( spl4_828
| ~ spl4_30
| ~ spl4_233 ),
inference(avatar_split_clause,[],[f2934,f2788,f544,f20523]) ).
fof(f20523,plain,
( spl4_828
<=> ! [X0,X1] :
( ~ s_t(X0,X1,s(X0,X1))
| s(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_828])]) ).
fof(f2788,plain,
( spl4_233
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X2,X0,X1)
| ~ s_m(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_233])]) ).
fof(f2934,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,s(X0,X1))
| s(X0,X1) = X1 )
| ~ spl4_30
| ~ spl4_233 ),
inference(resolution,[],[f2789,f545]) ).
fof(f2789,plain,
( ! [X2,X0,X1] :
( ~ s_m(X1,X2,X0)
| ~ s_t(X2,X0,X1)
| X0 = X1 )
| ~ spl4_233 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f20521,plain,
( spl4_827
| ~ spl4_35
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2866,f2768,f564,f20519]) ).
fof(f20519,plain,
( spl4_827
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,X2,c63(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_827])]) ).
fof(f2866,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,X2,c63(X0,X1,X2)) )
| ~ spl4_35
| ~ spl4_228 ),
inference(resolution,[],[f2769,f565]) ).
fof(f20517,plain,
( spl4_826
| ~ spl4_34
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2865,f2768,f560,f20515]) ).
fof(f20515,plain,
( spl4_826
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X2,c63(X0,X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_826])]) ).
fof(f2865,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X2,c63(X0,X1,X2),X1) )
| ~ spl4_34
| ~ spl4_228 ),
inference(resolution,[],[f2769,f561]) ).
fof(f20511,plain,
( spl4_825
| ~ spl4_25
| spl4_774 ),
inference(avatar_split_clause,[],[f20458,f18482,f517,f20508]) ).
fof(f20508,plain,
( spl4_825
<=> sK1 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_825])]) ).
fof(f517,plain,
( spl4_25
<=> ! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f20458,plain,
( sK1 = sK3
| ~ spl4_25
| spl4_774 ),
inference(resolution,[],[f18483,f518]) ).
fof(f518,plain,
( ! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 )
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f18483,plain,
( ~ sameside(sK3,sK1,sK3)
| spl4_774 ),
inference(avatar_component_clause,[],[f18482]) ).
fof(f20506,plain,
( spl4_824
| ~ spl4_33
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2864,f2768,f556,f20504]) ).
fof(f20504,plain,
( spl4_824
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_824])]) ).
fof(f2864,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X1,X2) )
| ~ spl4_33
| ~ spl4_228 ),
inference(resolution,[],[f2769,f557]) ).
fof(f20502,plain,
( spl4_823
| ~ spl4_35
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2801,f2752,f564,f20500]) ).
fof(f20500,plain,
( spl4_823
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,X0,c63(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_823])]) ).
fof(f2801,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,X0,c63(X0,X1,X2)) )
| ~ spl4_35
| ~ spl4_224 ),
inference(resolution,[],[f2753,f565]) ).
fof(f20498,plain,
( spl4_822
| ~ spl4_34
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2800,f2752,f560,f20496]) ).
fof(f20496,plain,
( spl4_822
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X0,c63(X0,X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_822])]) ).
fof(f2800,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X0,c63(X0,X1,X2),X1) )
| ~ spl4_34
| ~ spl4_224 ),
inference(resolution,[],[f2753,f561]) ).
fof(f20494,plain,
( spl4_821
| ~ spl4_33
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2799,f2752,f556,f20492]) ).
fof(f20492,plain,
( spl4_821
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_821])]) ).
fof(f2799,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X1,X0) )
| ~ spl4_33
| ~ spl4_224 ),
inference(resolution,[],[f2753,f557]) ).
fof(f20490,plain,
( spl4_820
| ~ spl4_67
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2368,f2208,f802,f20488]) ).
fof(f20488,plain,
( spl4_820
<=> ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| X0 = X2
| ~ s_t(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_820])]) ).
fof(f802,plain,
( spl4_67
<=> ! [X2,X0,X1] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).
fof(f2368,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| X0 = X2
| ~ s_t(X1,X0,X2) )
| ~ spl4_67
| ~ spl4_202 ),
inference(resolution,[],[f2209,f803]) ).
fof(f803,plain,
( ! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,X1)
| X1 = X2
| ~ s_t(X0,X1,X2) )
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f20486,plain,
( spl4_819
| ~ spl4_102
| ~ spl4_179 ),
inference(avatar_split_clause,[],[f1986,f1892,f1023,f20484]) ).
fof(f20484,plain,
( spl4_819
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X2,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_819])]) ).
fof(f1986,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X2,X0),X2) )
| ~ spl4_102
| ~ spl4_179 ),
inference(resolution,[],[f1893,f1024]) ).
fof(f20482,plain,
( spl4_818
| ~ spl4_67
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1978,f1888,f802,f20480]) ).
fof(f20480,plain,
( spl4_818
<=> ! [X0,X1] :
( s(X0,X1) = X1
| ~ s_t(X0,s(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_818])]) ).
fof(f1978,plain,
( ! [X0,X1] :
( s(X0,X1) = X1
| ~ s_t(X0,s(X0,X1),X1) )
| ~ spl4_67
| ~ spl4_178 ),
inference(resolution,[],[f1889,f803]) ).
fof(f20478,plain,
( spl4_817
| ~ spl4_102
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1962,f1888,f1023,f20476]) ).
fof(f20476,plain,
( spl4_817
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X0,s(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_817])]) ).
fof(f1962,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X0,s(X0,X2)) )
| ~ spl4_102
| ~ spl4_178 ),
inference(resolution,[],[f1889,f1024]) ).
fof(f20474,plain,
( spl4_816
| ~ spl4_101
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1961,f1888,f1019,f20472]) ).
fof(f20472,plain,
( spl4_816
<=> ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_816])]) ).
fof(f1961,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) )
| ~ spl4_101
| ~ spl4_178 ),
inference(resolution,[],[f1889,f1020]) ).
fof(f20462,plain,
( spl4_815
| ~ spl4_187
| ~ spl4_313 ),
inference(avatar_split_clause,[],[f5038,f4903,f2028,f20460]) ).
fof(f20460,plain,
( spl4_815
<=> ! [X2,X0,X1] :
( ~ le(s(sK3,sK0),X0,X1,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ins(X1,X2,s(sK3,sK0),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,s(sK3,sK0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_815])]) ).
fof(f5038,plain,
( ! [X2,X0,X1] :
( ~ le(s(sK3,sK0),X0,X1,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ins(X1,X2,s(sK3,sK0),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,s(sK3,sK0),X0)) )
| ~ spl4_187
| ~ spl4_313 ),
inference(resolution,[],[f4904,f2029]) ).
fof(f20453,plain,
( spl4_814
| ~ spl4_188
| ~ spl4_313 ),
inference(avatar_split_clause,[],[f5037,f4903,f2032,f20451]) ).
fof(f20451,plain,
( spl4_814
<=> ! [X2,X0,X1] :
( ~ le(s(sK3,sK0),X0,X1,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ins(X1,X2,s(sK3,sK0),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,s(sK3,sK0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_814])]) ).
fof(f5037,plain,
( ! [X2,X0,X1] :
( ~ le(s(sK3,sK0),X0,X1,X2)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ins(X1,X2,s(sK3,sK0),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,s(sK3,sK0),X0)) )
| ~ spl4_188
| ~ spl4_313 ),
inference(resolution,[],[f4904,f2033]) ).
fof(f20447,plain,
( spl4_813
| ~ spl4_187
| ~ spl4_311 ),
inference(avatar_split_clause,[],[f4999,f4890,f2028,f20445]) ).
fof(f20445,plain,
( spl4_813
<=> ! [X2,X0,X1] :
( ~ le(X0,s(sK3,sK1),X1,X2)
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK1),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_813])]) ).
fof(f4890,plain,
( spl4_311
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X1,ins(X2,X3,X0,X1))
| ~ s_t(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_311])]) ).
fof(f4999,plain,
( ! [X2,X0,X1] :
( ~ le(X0,s(sK3,sK1),X1,X2)
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK1),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) )
| ~ spl4_187
| ~ spl4_311 ),
inference(resolution,[],[f4891,f2029]) ).
fof(f4891,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X4,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1) )
| ~ spl4_311 ),
inference(avatar_component_clause,[],[f4890]) ).
fof(f20441,plain,
( spl4_812
| ~ spl4_188
| ~ spl4_311 ),
inference(avatar_split_clause,[],[f4998,f4890,f2032,f20439]) ).
fof(f20439,plain,
( spl4_812
<=> ! [X2,X0,X1] :
( ~ le(X0,s(sK3,sK1),X1,X2)
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK0),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_812])]) ).
fof(f4998,plain,
( ! [X2,X0,X1] :
( ~ le(X0,s(sK3,sK1),X1,X2)
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK0),ins(X1,X2,X0,s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X1,X2,X0,s(sK3,sK1))) )
| ~ spl4_188
| ~ spl4_311 ),
inference(resolution,[],[f4891,f2033]) ).
fof(f20437,plain,
( spl4_273
| spl4_811
| spl4_158
| ~ spl4_52
| ~ spl4_492 ),
inference(avatar_split_clause,[],[f10209,f10076,f688,f1632,f20435,f3534]) ).
fof(f20435,plain,
( spl4_811
<=> ! [X2,X0,X1] :
( s_col(s(sK3,sK2),s(sK3,sK0),X0)
| X1 = X2
| ~ s_col(X1,X2,s(sK3,sK1))
| ~ s_col(X1,X2,s(sK3,sK2))
| ~ s_col(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_811])]) ).
fof(f10209,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = s(sK3,sK2)
| s_col(s(sK3,sK2),s(sK3,sK0),X0)
| ~ s_col(X1,X2,s(sK3,sK2))
| ~ s_col(X1,X2,X0)
| ~ s_col(X1,X2,s(sK3,sK1))
| s(sK3,sK0) = s(sK3,sK2)
| X1 = X2 )
| ~ spl4_52
| ~ spl4_492 ),
inference(resolution,[],[f10077,f690]) ).
fof(f20432,plain,
( spl4_810
| ~ spl4_123
| ~ spl4_424 ),
inference(avatar_split_clause,[],[f7963,f7768,f1223,f20430]) ).
fof(f20430,plain,
( spl4_810
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_810])]) ).
fof(f7963,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_424 ),
inference(resolution,[],[f7769,f1224]) ).
fof(f20427,plain,
( spl4_809
| ~ spl4_137
| ~ spl4_424 ),
inference(avatar_split_clause,[],[f7962,f7768,f1347,f20425]) ).
fof(f20425,plain,
( spl4_809
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_809])]) ).
fof(f7962,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_424 ),
inference(resolution,[],[f7769,f1348]) ).
fof(f20422,plain,
( spl4_808
| ~ spl4_123
| ~ spl4_423 ),
inference(avatar_split_clause,[],[f7856,f7764,f1223,f20420]) ).
fof(f20420,plain,
( spl4_808
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_808])]) ).
fof(f7856,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_423 ),
inference(resolution,[],[f7765,f1224]) ).
fof(f20417,plain,
( spl4_807
| ~ spl4_137
| ~ spl4_423 ),
inference(avatar_split_clause,[],[f7855,f7764,f1347,f20415]) ).
fof(f20415,plain,
( spl4_807
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_807])]) ).
fof(f7855,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),s(sK3,sK1),ext(X0,s(sK3,sK0),X1,X2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK0),X1,X2),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_423 ),
inference(resolution,[],[f7765,f1348]) ).
fof(f20411,plain,
( spl4_806
| ~ spl4_187
| ~ spl4_292 ),
inference(avatar_split_clause,[],[f4505,f4221,f2028,f20409]) ).
fof(f20409,plain,
( spl4_806
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ext(s(sK3,sK1),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK1),X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_806])]) ).
fof(f4221,plain,
( spl4_292
<=> ! [X2,X4,X0,X3,X1] :
( X0 = X1
| s_t(X2,X0,ext(X0,X1,X3,X4))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_292])]) ).
fof(f4505,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ext(s(sK3,sK1),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK1),X0,X1,X2)) )
| ~ spl4_187
| ~ spl4_292 ),
inference(resolution,[],[f4222,f2029]) ).
fof(f4222,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,X0,ext(X0,X1,X3,X4))
| X0 = X1
| ~ s_t(X2,X0,X1) )
| ~ spl4_292 ),
inference(avatar_component_clause,[],[f4221]) ).
fof(f20405,plain,
( spl4_805
| ~ spl4_188
| ~ spl4_292 ),
inference(avatar_split_clause,[],[f4504,f4221,f2032,f20403]) ).
fof(f20403,plain,
( spl4_805
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(s(sK3,sK1),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK1),X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_805])]) ).
fof(f4504,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(s(sK3,sK1),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK1),X0,X1,X2)) )
| ~ spl4_188
| ~ spl4_292 ),
inference(resolution,[],[f4222,f2033]) ).
fof(f20390,plain,
( spl4_804
| ~ spl4_187
| ~ spl4_291 ),
inference(avatar_split_clause,[],[f4464,f4217,f2028,f20388]) ).
fof(f20388,plain,
( spl4_804
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK1),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_804])]) ).
fof(f4217,plain,
( spl4_291
<=> ! [X2,X4,X0,X3,X1] :
( X0 = X1
| s_t(X2,X1,ext(X0,X1,X3,X4))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_291])]) ).
fof(f4464,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK1),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) )
| ~ spl4_187
| ~ spl4_291 ),
inference(resolution,[],[f4218,f2029]) ).
fof(f4218,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X2,X1,ext(X0,X1,X3,X4))
| X0 = X1
| ~ s_t(X2,X0,X1) )
| ~ spl4_291 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f20384,plain,
( spl4_803
| ~ spl4_188
| ~ spl4_291 ),
inference(avatar_split_clause,[],[f4463,f4217,f2032,f20382]) ).
fof(f20382,plain,
( spl4_803
<=> ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_803])]) ).
fof(f4463,plain,
( ! [X2,X0,X1] :
( s(sK3,sK1) = X0
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) )
| ~ spl4_188
| ~ spl4_291 ),
inference(resolution,[],[f4218,f2033]) ).
fof(f20378,plain,
( spl4_802
| ~ spl4_86
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2258,f2032,f934,f20376]) ).
fof(f20376,plain,
( spl4_802
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)))
| ~ le(s(sK3,sK0),s(sK3,sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_802])]) ).
fof(f2258,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)))
| ~ le(s(sK3,sK0),s(sK3,sK1),X0,X1) )
| ~ spl4_86
| ~ spl4_188 ),
inference(resolution,[],[f2033,f935]) ).
fof(f20372,plain,
( spl4_801
| ~ spl4_86
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2247,f2028,f934,f20370]) ).
fof(f20370,plain,
( spl4_801
<=> ! [X0,X1] :
( s_t(s(sK3,sK1),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)))
| ~ le(s(sK3,sK0),s(sK3,sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_801])]) ).
fof(f2247,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK1),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ins(X0,X1,s(sK3,sK0),s(sK3,sK1)))
| ~ le(s(sK3,sK0),s(sK3,sK1),X0,X1) )
| ~ spl4_86
| ~ spl4_187 ),
inference(resolution,[],[f2029,f935]) ).
fof(f19805,plain,
( spl4_800
| ~ spl4_17
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4526,f4229,f484,f19803]) ).
fof(f19803,plain,
( spl4_800
<=> ! [X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X1,X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_800])]) ).
fof(f484,plain,
( spl4_17
<=> ! [X0,X1] : s_e(X0,X1,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f4526,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X1,X0,X2,X3) )
| ~ spl4_17
| ~ spl4_294 ),
inference(resolution,[],[f4230,f485]) ).
fof(f485,plain,
( ! [X0,X1] : s_e(X0,X1,X1,X0)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f19801,plain,
( spl4_799
| ~ spl4_18
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f4522,f4229,f488,f19799]) ).
fof(f19799,plain,
( spl4_799
<=> ! [X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_799])]) ).
fof(f488,plain,
( spl4_18
<=> ! [X0,X1] : s_e(X0,X1,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f4522,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| le(X0,X1,X2,X3) )
| ~ spl4_18
| ~ spl4_294 ),
inference(resolution,[],[f4230,f489]) ).
fof(f489,plain,
( ! [X0,X1] : s_e(X0,X1,X0,X1)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f19797,plain,
( spl4_798
| ~ spl4_195
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3185,f2992,f2061,f19795]) ).
fof(f19795,plain,
( spl4_798
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_t(X1,s(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_798])]) ).
fof(f3185,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_t(X1,s(X1,X0),X2) )
| ~ spl4_195
| ~ spl4_241 ),
inference(resolution,[],[f2993,f2062]) ).
fof(f19793,plain,
( spl4_797
| ~ spl4_196
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3184,f2992,f2065,f19791]) ).
fof(f19791,plain,
( spl4_797
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_t(s(X1,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_797])]) ).
fof(f3184,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s_t(s(X1,X0),X1,X2) )
| ~ spl4_196
| ~ spl4_241 ),
inference(resolution,[],[f2993,f2066]) ).
fof(f19789,plain,
( spl4_796
| ~ spl4_21
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3167,f2988,f500,f19787]) ).
fof(f19787,plain,
( spl4_796
<=> ! [X0,X1] :
( s_t(X0,s(X0,X1),X0)
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_796])]) ).
fof(f3167,plain,
( ! [X0,X1] :
( s_t(X0,s(X0,X1),X0)
| ~ s_t(X0,X1,X0) )
| ~ spl4_21
| ~ spl4_240 ),
inference(superposition,[],[f2989,f501]) ).
fof(f19785,plain,
( spl4_795
| ~ spl4_24
| ~ spl4_217 ),
inference(avatar_split_clause,[],[f2662,f2638,f513,f19783]) ).
fof(f19783,plain,
( spl4_795
<=> ! [X2,X0,X1] :
( X1 != X2
| s(X0,X1) = s(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_795])]) ).
fof(f2638,plain,
( spl4_217
<=> ! [X2,X0,X1] :
( s(X0,X2) != X1
| s(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_217])]) ).
fof(f2662,plain,
( ! [X2,X0,X1] :
( X1 != X2
| s(X0,X1) = s(X0,X2) )
| ~ spl4_24
| ~ spl4_217 ),
inference(superposition,[],[f2639,f514]) ).
fof(f2639,plain,
( ! [X2,X0,X1] :
( s(X0,X2) != X1
| s(X0,X1) = X2 )
| ~ spl4_217 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f19781,plain,
( spl4_794
| ~ spl4_73
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1873,f1862,f831,f19779]) ).
fof(f19779,plain,
( spl4_794
<=> ! [X2,X0,X1] :
( s_t(X0,X1,s(X2,X0))
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_794])]) ).
fof(f831,plain,
( spl4_73
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,s(X2,X0))
| ~ s_t(X0,X1,X2) )
| ~ spl4_73
| ~ spl4_177 ),
inference(resolution,[],[f1863,f832]) ).
fof(f832,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X2,X3)
| s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_73 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f19763,plain,
( spl4_793
| ~ spl4_25
| spl4_739 ),
inference(avatar_split_clause,[],[f19650,f17900,f517,f19760]) ).
fof(f19760,plain,
( spl4_793
<=> sK0 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_793])]) ).
fof(f19650,plain,
( sK0 = sK3
| ~ spl4_25
| spl4_739 ),
inference(resolution,[],[f17901,f518]) ).
fof(f17901,plain,
( ~ sameside(sK0,sK3,sK0)
| spl4_739 ),
inference(avatar_component_clause,[],[f17900]) ).
fof(f19758,plain,
( spl4_792
| ~ spl4_72
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1872,f1862,f827,f19756]) ).
fof(f19756,plain,
( spl4_792
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_792])]) ).
fof(f827,plain,
( spl4_72
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).
fof(f1872,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,X1)) )
| ~ spl4_72
| ~ spl4_177 ),
inference(resolution,[],[f1863,f828]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X1,X3,X2)
| s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f19754,plain,
( spl4_791
| ~ spl4_71
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1871,f1862,f818,f19752]) ).
fof(f19752,plain,
( spl4_791
<=> ! [X2,X0,X1] :
( s_t(X0,X1,s(X1,X2))
| ~ s_t(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_791])]) ).
fof(f1871,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,s(X1,X2))
| ~ s_t(X2,X0,X1) )
| ~ spl4_71
| ~ spl4_177 ),
inference(resolution,[],[f1863,f819]) ).
fof(f19745,plain,
( spl4_790
| ~ spl4_123
| ~ spl4_449 ),
inference(avatar_split_clause,[],[f9016,f8777,f1223,f19743]) ).
fof(f19743,plain,
( spl4_790
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK1))
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK1))
| s_t(crossbar(X2,X3,s(sK3,sK1),X0,X1,X4),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_790])]) ).
fof(f9016,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,s(sK3,sK1))
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK1))
| s_t(crossbar(X2,X3,s(sK3,sK1),X0,X1,X4),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_449 ),
inference(resolution,[],[f8778,f1224]) ).
fof(f19734,plain,
( spl4_789
| ~ spl4_137
| ~ spl4_449 ),
inference(avatar_split_clause,[],[f9015,f8777,f1347,f19732]) ).
fof(f19732,plain,
( spl4_789
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK1))
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK1))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK1),X0,X1,X4),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_789])]) ).
fof(f9015,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,s(sK3,sK1))
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X4,s(sK3,sK1))
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK1),X0,X1,X4),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_449 ),
inference(resolution,[],[f8778,f1348]) ).
fof(f19720,plain,
( spl4_788
| ~ spl4_187
| ~ spl4_289 ),
inference(avatar_split_clause,[],[f4400,f4209,f2028,f19718]) ).
fof(f19718,plain,
( spl4_788
<=> ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK0))
| s_t(s(sK3,sK1),c63(X1,X0,s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,X0,s(sK3,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_788])]) ).
fof(f4209,plain,
( spl4_289
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| ~ s_t(X0,X1,X3)
| ~ sameside(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_289])]) ).
fof(f4400,plain,
( ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK0))
| s_t(s(sK3,sK1),c63(X1,X0,s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,X0,s(sK3,sK0))) )
| ~ spl4_187
| ~ spl4_289 ),
inference(resolution,[],[f4210,f2029]) ).
fof(f4210,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| ~ s_t(X0,X1,X3)
| ~ sameside(X2,X3,X0) )
| ~ spl4_289 ),
inference(avatar_component_clause,[],[f4209]) ).
fof(f19706,plain,
( spl4_787
| ~ spl4_188
| ~ spl4_289 ),
inference(avatar_split_clause,[],[f4399,f4209,f2032,f19704]) ).
fof(f19704,plain,
( spl4_787
<=> ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK0))
| s_t(s(sK3,sK0),c63(X1,X0,s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,X0,s(sK3,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_787])]) ).
fof(f4399,plain,
( ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(X1,X0,s(sK3,sK0))
| s_t(s(sK3,sK0),c63(X1,X0,s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,X0,s(sK3,sK0))) )
| ~ spl4_188
| ~ spl4_289 ),
inference(resolution,[],[f4210,f2033]) ).
fof(f19692,plain,
( spl4_786
| ~ spl4_187
| ~ spl4_288 ),
inference(avatar_split_clause,[],[f4369,f4205,f2028,f19690]) ).
fof(f19690,plain,
( spl4_786
<=> ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK1),c63(s(sK3,sK0),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK0),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_786])]) ).
fof(f4205,plain,
( spl4_288
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_288])]) ).
fof(f4369,plain,
( ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK1),c63(s(sK3,sK0),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK0),X0,X1)) )
| ~ spl4_187
| ~ spl4_288 ),
inference(resolution,[],[f4206,f2029]) ).
fof(f4206,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,X2,X3) )
| ~ spl4_288 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f19678,plain,
( spl4_785
| ~ spl4_188
| ~ spl4_288 ),
inference(avatar_split_clause,[],[f4368,f4205,f2032,f19676]) ).
fof(f19676,plain,
( spl4_785
<=> ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK0),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK0),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_785])]) ).
fof(f4368,plain,
( ! [X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ sameside(s(sK3,sK0),X0,X1)
| s_t(s(sK3,sK0),c63(s(sK3,sK0),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK0),X0,X1)) )
| ~ spl4_188
| ~ spl4_288 ),
inference(resolution,[],[f4206,f2033]) ).
fof(f19667,plain,
( spl4_784
| ~ spl4_187
| ~ spl4_285 ),
inference(avatar_split_clause,[],[f4312,f4193,f2028,f19665]) ).
fof(f19665,plain,
( spl4_784
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK1),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_784])]) ).
fof(f4193,plain,
( spl4_285
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X3,X0,X1)
| ~ sameside(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_285])]) ).
fof(f4312,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK1),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) )
| ~ spl4_187
| ~ spl4_285 ),
inference(resolution,[],[f4194,f2029]) ).
fof(f4194,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X3,X0,X1)
| ~ sameside(X2,X1,X3) )
| ~ spl4_285 ),
inference(avatar_component_clause,[],[f4193]) ).
fof(f19654,plain,
( spl4_783
| ~ spl4_188
| ~ spl4_285 ),
inference(avatar_split_clause,[],[f4311,f4193,f2032,f19652]) ).
fof(f19652,plain,
( spl4_783
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_783])]) ).
fof(f4311,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X1,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),c63(X1,s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X1,s(sK3,sK1),X0)) )
| ~ spl4_188
| ~ spl4_285 ),
inference(resolution,[],[f4194,f2033]) ).
fof(f19645,plain,
( spl4_782
| ~ spl4_187
| ~ spl4_284 ),
inference(avatar_split_clause,[],[f4280,f4189,f2028,f19643]) ).
fof(f19643,plain,
( spl4_782
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_782])]) ).
fof(f4189,plain,
( spl4_284
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_284])]) ).
fof(f4280,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) )
| ~ spl4_187
| ~ spl4_284 ),
inference(resolution,[],[f4190,f2029]) ).
fof(f4190,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X2,X1,X3) )
| ~ spl4_284 ),
inference(avatar_component_clause,[],[f4189]) ).
fof(f19639,plain,
( spl4_781
| ~ spl4_188
| ~ spl4_284 ),
inference(avatar_split_clause,[],[f4279,f4189,f2032,f19637]) ).
fof(f19637,plain,
( spl4_781
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_781])]) ).
fof(f4279,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X0,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),X1)) )
| ~ spl4_188
| ~ spl4_284 ),
inference(resolution,[],[f4190,f2033]) ).
fof(f19634,plain,
( spl4_780
| ~ spl4_123
| ~ spl4_453 ),
inference(avatar_split_clause,[],[f9143,f8793,f1223,f19632]) ).
fof(f19632,plain,
( spl4_780
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(crossbar(X2,X3,X1,X0,s(sK3,sK1),X4),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_780])]) ).
fof(f9143,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(crossbar(X2,X3,X1,X0,s(sK3,sK1),X4),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_453 ),
inference(resolution,[],[f8794,f1224]) ).
fof(f19629,plain,
( spl4_779
| ~ spl4_137
| ~ spl4_453 ),
inference(avatar_split_clause,[],[f9142,f8793,f1347,f19627]) ).
fof(f19627,plain,
( spl4_779
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(s(sK3,sK0),crossbar(X2,X3,X1,X0,s(sK3,sK1),X4),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_779])]) ).
fof(f9142,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X4,X0)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(s(sK3,sK0),crossbar(X2,X3,X1,X0,s(sK3,sK1),X4),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_453 ),
inference(resolution,[],[f8794,f1348]) ).
fof(f19623,plain,
( spl4_778
| ~ spl4_62
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2260,f2032,f764,f19621]) ).
fof(f19621,plain,
( spl4_778
<=> ! [X0] :
( s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),s(sK3,sK0)))
| ~ sameside(X0,s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_778])]) ).
fof(f764,plain,
( spl4_62
<=> ! [X2,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f2260,plain,
( ! [X0] :
( s_t(s(sK3,sK0),c63(X0,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(X0,s(sK3,sK1),s(sK3,sK0)))
| ~ sameside(X0,s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_62
| ~ spl4_188 ),
inference(resolution,[],[f2033,f765]) ).
fof(f765,plain,
( ! [X2,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f19617,plain,
( spl4_777
| ~ spl4_61
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2259,f2032,f760,f19615]) ).
fof(f19615,plain,
( spl4_777
<=> ! [X0] :
( s_t(s(sK3,sK0),c63(s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK0),s(sK3,sK1),X0))
| ~ sameside(s(sK3,sK0),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_777])]) ).
fof(f760,plain,
( spl4_61
<=> ! [X2,X0,X1] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f2259,plain,
( ! [X0] :
( s_t(s(sK3,sK0),c63(s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),c63(s(sK3,sK0),s(sK3,sK1),X0))
| ~ sameside(s(sK3,sK0),s(sK3,sK1),X0) )
| ~ spl4_61
| ~ spl4_188 ),
inference(resolution,[],[f2033,f761]) ).
fof(f761,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
| ~ spl4_61 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f19611,plain,
( spl4_776
| ~ spl4_62
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2249,f2028,f764,f19609]) ).
fof(f19609,plain,
( spl4_776
<=> ! [X0] :
( s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),s(sK3,sK0)))
| ~ sameside(X0,s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_776])]) ).
fof(f2249,plain,
( ! [X0] :
( s_t(s(sK3,sK1),c63(X0,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(X0,s(sK3,sK1),s(sK3,sK0)))
| ~ sameside(X0,s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_62
| ~ spl4_187 ),
inference(resolution,[],[f2029,f765]) ).
fof(f19605,plain,
( spl4_775
| ~ spl4_61
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2248,f2028,f760,f19603]) ).
fof(f19603,plain,
( spl4_775
<=> ! [X0] :
( s_t(s(sK3,sK1),c63(s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK0),s(sK3,sK1),X0))
| ~ sameside(s(sK3,sK0),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_775])]) ).
fof(f2248,plain,
( ! [X0] :
( s_t(s(sK3,sK1),c63(s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),c63(s(sK3,sK0),s(sK3,sK1),X0))
| ~ sameside(s(sK3,sK0),s(sK3,sK1),X0) )
| ~ spl4_61
| ~ spl4_187 ),
inference(resolution,[],[f2029,f761]) ).
fof(f18485,plain,
( spl4_774
| spl4_595
| ~ spl4_710 ),
inference(avatar_split_clause,[],[f17531,f17075,f15419,f18482]) ).
fof(f17531,plain,
( sameside(sK3,sK1,sK3)
| spl4_595
| ~ spl4_710 ),
inference(resolution,[],[f17076,f15421]) ).
fof(f15421,plain,
( ~ s_t(sK3,sK1,sK2)
| spl4_595 ),
inference(avatar_component_clause,[],[f15419]) ).
fof(f18144,plain,
( spl4_773
| ~ spl4_11
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4414,f4213,f460,f18142]) ).
fof(f18142,plain,
( spl4_773
<=> ! [X2,X0,X1] : le(X0,X1,s(X2,X0),s(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_773])]) ).
fof(f4414,plain,
( ! [X2,X0,X1] : le(X0,X1,s(X2,X0),s(X2,X1))
| ~ spl4_11
| ~ spl4_290 ),
inference(resolution,[],[f4214,f461]) ).
fof(f18140,plain,
( spl4_772
| ~ spl4_19
| ~ spl4_268 ),
inference(avatar_split_clause,[],[f3938,f3458,f492,f18138]) ).
fof(f18138,plain,
( spl4_772
<=> ! [X2,X0,X1] :
( s_e(X0,X0,X1,X2)
| ~ s_m(X1,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_772])]) ).
fof(f492,plain,
( spl4_19
<=> ! [X0,X1] : s_e(X0,X0,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f3938,plain,
( ! [X2,X0,X1] :
( s_e(X0,X0,X1,X2)
| ~ s_m(X1,X1,X2) )
| ~ spl4_19
| ~ spl4_268 ),
inference(resolution,[],[f3459,f493]) ).
fof(f493,plain,
( ! [X0,X1] : s_e(X0,X0,X1,X1)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f18136,plain,
( spl4_771
| ~ spl4_11
| ~ spl4_253 ),
inference(avatar_split_clause,[],[f3393,f3290,f460,f18134]) ).
fof(f18134,plain,
( spl4_771
<=> ! [X0,X3,X2,X1] : le(X0,ext(X1,X0,X2,X3),X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_771])]) ).
fof(f3393,plain,
( ! [X2,X3,X0,X1] : le(X0,ext(X1,X0,X2,X3),X2,X3)
| ~ spl4_11
| ~ spl4_253 ),
inference(resolution,[],[f3291,f461]) ).
fof(f18132,plain,
( spl4_770
| ~ spl4_27
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3186,f2992,f525,f18130]) ).
fof(f18130,plain,
( spl4_770
<=> ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_770])]) ).
fof(f3186,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X1,X0) = X1 )
| ~ spl4_27
| ~ spl4_241 ),
inference(resolution,[],[f2993,f526]) ).
fof(f18105,plain,
( spl4_769
| ~ spl4_250
| spl4_400
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17358,f17071,f6894,f3277,f18102]) ).
fof(f18102,plain,
( spl4_769
<=> sameside(sK1,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_769])]) ).
fof(f17358,plain,
( sameside(sK1,sK1,sK1)
| ~ spl4_250
| spl4_400
| ~ spl4_709 ),
inference(forward_demodulation,[],[f17327,f3279]) ).
fof(f18100,plain,
( spl4_768
| ~ spl4_211
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2959,f2796,f2285,f18098]) ).
fof(f18098,plain,
( spl4_768
<=> ! [X2,X0,X1] : s_e(ins(X1,X2,X0,X0),X0,X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_768])]) ).
fof(f2959,plain,
( ! [X2,X0,X1] : s_e(ins(X1,X2,X0,X0),X0,X2,X1)
| ~ spl4_211
| ~ spl4_235 ),
inference(superposition,[],[f2286,f2797]) ).
fof(f18096,plain,
( spl4_767
| ~ spl4_209
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2958,f2796,f2277,f18094]) ).
fof(f18094,plain,
( spl4_767
<=> ! [X2,X0,X1] : s_e(X0,ins(X1,X2,X0,X0),X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_767])]) ).
fof(f2958,plain,
( ! [X2,X0,X1] : s_e(X0,ins(X1,X2,X0,X0),X2,X1)
| ~ spl4_209
| ~ spl4_235 ),
inference(superposition,[],[f2278,f2797]) ).
fof(f18092,plain,
( spl4_766
| ~ spl4_207
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2957,f2796,f2269,f18090]) ).
fof(f18090,plain,
( spl4_766
<=> ! [X2,X0,X1] : s_e(ins(X1,X2,X0,X0),X0,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_766])]) ).
fof(f2957,plain,
( ! [X2,X0,X1] : s_e(ins(X1,X2,X0,X0),X0,X1,X2)
| ~ spl4_207
| ~ spl4_235 ),
inference(superposition,[],[f2270,f2797]) ).
fof(f18088,plain,
( spl4_765
| ~ spl4_204
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2956,f2796,f2216,f18086]) ).
fof(f18086,plain,
( spl4_765
<=> ! [X2,X0,X1] : s_e(X1,X2,X0,ins(X1,X2,X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_765])]) ).
fof(f2956,plain,
( ! [X2,X0,X1] : s_e(X1,X2,X0,ins(X1,X2,X0,X0))
| ~ spl4_204
| ~ spl4_235 ),
inference(superposition,[],[f2217,f2797]) ).
fof(f18084,plain,
( spl4_764
| ~ spl4_51
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2951,f2796,f677,f18082]) ).
fof(f18082,plain,
( spl4_764
<=> ! [X2,X0,X1] : s_e(X0,ins(X1,X2,X0,X0),X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_764])]) ).
fof(f2951,plain,
( ! [X2,X0,X1] : s_e(X0,ins(X1,X2,X0,X0),X1,X2)
| ~ spl4_51
| ~ spl4_235 ),
inference(superposition,[],[f678,f2797]) ).
fof(f18080,plain,
( spl4_763
| ~ spl4_208
| ~ spl4_221 ),
inference(avatar_split_clause,[],[f2717,f2654,f2273,f18078]) ).
fof(f18078,plain,
( spl4_763
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X1,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_763])]) ).
fof(f2717,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X1,X1,X0) )
| ~ spl4_208
| ~ spl4_221 ),
inference(resolution,[],[f2655,f2274]) ).
fof(f18076,plain,
( spl4_762
| ~ spl4_205
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f2690,f2650,f2220,f18074]) ).
fof(f18074,plain,
( spl4_762
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_762])]) ).
fof(f2690,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X1,X1) )
| ~ spl4_205
| ~ spl4_220 ),
inference(resolution,[],[f2651,f2221]) ).
fof(f18072,plain,
( spl4_761
| ~ spl4_49
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f2688,f2650,f669,f18070]) ).
fof(f18070,plain,
( spl4_761
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_761])]) ).
fof(f2688,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X1,X0,X0) )
| ~ spl4_49
| ~ spl4_220 ),
inference(resolution,[],[f2651,f670]) ).
fof(f18068,plain,
( spl4_760
| ~ spl4_202
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f2687,f2650,f2208,f18066]) ).
fof(f18066,plain,
( spl4_760
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_760])]) ).
fof(f2687,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X0,X1) )
| ~ spl4_202
| ~ spl4_220 ),
inference(resolution,[],[f2651,f2209]) ).
fof(f18064,plain,
( spl4_759
| ~ spl4_212
| ~ spl4_219 ),
inference(avatar_split_clause,[],[f2683,f2646,f2289,f18062]) ).
fof(f18062,plain,
( spl4_759
<=> ! [X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ s_t(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_759])]) ).
fof(f2683,plain,
( ! [X2,X3,X0,X1] :
( le(X0,X1,X2,X3)
| ~ s_t(X1,X0,X1) )
| ~ spl4_212
| ~ spl4_219 ),
inference(resolution,[],[f2647,f2290]) ).
fof(f18060,plain,
( spl4_758
| spl4_595
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17333,f17071,f15419,f18057]) ).
fof(f17333,plain,
( sameside(sK1,sK3,sK1)
| spl4_595
| ~ spl4_709 ),
inference(resolution,[],[f17072,f15421]) ).
fof(f18055,plain,
( spl4_757
| ~ spl4_213
| ~ spl4_219 ),
inference(avatar_split_clause,[],[f2678,f2646,f2293,f18053]) ).
fof(f18053,plain,
( spl4_757
<=> ! [X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_757])]) ).
fof(f2678,plain,
( ! [X2,X3,X0,X1] :
( le(X0,X1,X2,X3)
| ~ s_t(X0,X1,X0) )
| ~ spl4_213
| ~ spl4_219 ),
inference(resolution,[],[f2647,f2294]) ).
fof(f18051,plain,
( spl4_756
| ~ spl4_212
| ~ spl4_218 ),
inference(avatar_split_clause,[],[f2675,f2642,f2289,f18049]) ).
fof(f18049,plain,
( spl4_756
<=> ! [X0,X1] :
( s_e(X0,X1,X1,X1)
| ~ s_t(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_756])]) ).
fof(f2675,plain,
( ! [X0,X1] :
( s_e(X0,X1,X1,X1)
| ~ s_t(X1,X0,X1) )
| ~ spl4_212
| ~ spl4_218 ),
inference(resolution,[],[f2643,f2290]) ).
fof(f18047,plain,
( spl4_755
| ~ spl4_213
| ~ spl4_218 ),
inference(avatar_split_clause,[],[f2670,f2642,f2293,f18045]) ).
fof(f18045,plain,
( spl4_755
<=> ! [X0,X1] :
( s_e(X0,X1,X0,X0)
| ~ s_t(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_755])]) ).
fof(f2670,plain,
( ! [X0,X1] :
( s_e(X0,X1,X0,X0)
| ~ s_t(X0,X1,X0) )
| ~ spl4_213
| ~ spl4_218 ),
inference(resolution,[],[f2643,f2294]) ).
fof(f18043,plain,
( spl4_754
| ~ spl4_58
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2398,f2216,f717,f18041]) ).
fof(f18041,plain,
( spl4_754
<=> ! [X0,X3,X2,X1] : s_e(X0,X1,ext(X2,X3,X1,X0),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_754])]) ).
fof(f2398,plain,
( ! [X2,X3,X0,X1] : s_e(X0,X1,ext(X2,X3,X1,X0),X3)
| ~ spl4_58
| ~ spl4_204 ),
inference(resolution,[],[f2217,f718]) ).
fof(f18039,plain,
( spl4_753
| ~ spl4_57
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2397,f2216,f713,f18037]) ).
fof(f18037,plain,
( spl4_753
<=> ! [X0,X3,X2,X1] : s_e(X0,X1,ext(X2,X3,X0,X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_753])]) ).
fof(f713,plain,
( spl4_57
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f2397,plain,
( ! [X2,X3,X0,X1] : s_e(X0,X1,ext(X2,X3,X0,X1),X3)
| ~ spl4_57
| ~ spl4_204 ),
inference(resolution,[],[f2217,f714]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X0,X1,X3,X2) )
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f18035,plain,
( spl4_752
| ~ spl4_56
| ~ spl4_204 ),
inference(avatar_split_clause,[],[f2396,f2216,f709,f18033]) ).
fof(f18033,plain,
( spl4_752
<=> ! [X0,X3,X2,X1] : s_e(X0,X1,X2,ext(X3,X2,X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_752])]) ).
fof(f2396,plain,
( ! [X2,X3,X0,X1] : s_e(X0,X1,X2,ext(X3,X2,X1,X0))
| ~ spl4_56
| ~ spl4_204 ),
inference(resolution,[],[f2217,f710]) ).
fof(f18031,plain,
( spl4_751
| ~ spl4_56
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f2376,f2212,f709,f18029]) ).
fof(f18029,plain,
( spl4_751
<=> ! [X2,X0,X1] : s_e(s(X0,X1),s(X0,X2),X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_751])]) ).
fof(f2376,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),s(X0,X2),X2,X1)
| ~ spl4_56
| ~ spl4_203 ),
inference(resolution,[],[f2213,f710]) ).
fof(f18027,plain,
( spl4_750
| ~ spl4_58
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2350,f2208,f717,f18025]) ).
fof(f18025,plain,
( spl4_750
<=> ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X2,X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_750])]) ).
fof(f2350,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X2,X1,X0,X1) )
| ~ spl4_58
| ~ spl4_202 ),
inference(resolution,[],[f2209,f718]) ).
fof(f18023,plain,
( spl4_749
| ~ spl4_57
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2349,f2208,f713,f18021]) ).
fof(f18021,plain,
( spl4_749
<=> ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X1,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_749])]) ).
fof(f2349,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X1,X2,X0,X1) )
| ~ spl4_57
| ~ spl4_202 ),
inference(resolution,[],[f2209,f714]) ).
fof(f18019,plain,
( spl4_748
| ~ spl4_56
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f2348,f2208,f709,f18017]) ).
fof(f18017,plain,
( spl4_748
<=> ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X2,X1,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_748])]) ).
fof(f2348,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_e(X2,X1,X1,X0) )
| ~ spl4_56
| ~ spl4_202 ),
inference(resolution,[],[f2209,f710]) ).
fof(f17989,plain,
( spl4_747
| ~ spl4_57
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f2307,f2200,f713,f17987]) ).
fof(f17987,plain,
( spl4_747
<=> ! [X2,X0,X1] : s_e(s(X0,X1),X2,s(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_747])]) ).
fof(f2307,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),X2,s(X0,X2),X1)
| ~ spl4_57
| ~ spl4_200 ),
inference(resolution,[],[f2201,f714]) ).
fof(f17985,plain,
( spl4_746
| ~ spl4_56
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f2306,f2200,f709,f17983]) ).
fof(f17983,plain,
( spl4_746
<=> ! [X2,X0,X1] : s_e(X0,s(X1,X2),X2,s(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_746])]) ).
fof(f2306,plain,
( ! [X2,X0,X1] : s_e(X0,s(X1,X2),X2,s(X1,X0))
| ~ spl4_56
| ~ spl4_200 ),
inference(resolution,[],[f2201,f710]) ).
fof(f17981,plain,
( spl4_745
| ~ spl4_63
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1869,f1862,f768,f17979]) ).
fof(f17979,plain,
( spl4_745
<=> ! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,s(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_745])]) ).
fof(f768,plain,
( spl4_63
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f1869,plain,
( ! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,s(X0,X1)) )
| ~ spl4_63
| ~ spl4_177 ),
inference(resolution,[],[f1863,f769]) ).
fof(f769,plain,
( ! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| X0 = X1
| ~ s_t(X0,X1,X2) )
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f17977,plain,
( spl4_744
| ~ spl4_30
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f796,f772,f544,f17975]) ).
fof(f17975,plain,
( spl4_744
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_m(s(X2,X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_744])]) ).
fof(f772,plain,
( spl4_64
<=> ! [X0,X3,X2,X1] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ s_m(s(X2,X1),X2,X0) )
| ~ spl4_30
| ~ spl4_64 ),
inference(resolution,[],[f773,f545]) ).
fof(f773,plain,
( ! [X2,X3,X0,X1] :
( ~ s_m(X0,X1,X3)
| X2 = X3
| ~ s_m(X0,X1,X2) )
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f17972,plain,
( spl4_743
| ~ spl4_123
| ~ spl4_407 ),
inference(avatar_split_clause,[],[f7478,f7290,f1223,f17970]) ).
fof(f17970,plain,
( spl4_743
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK1),X0)
| s_t(crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_743])]) ).
fof(f7478,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK1),X0)
| s_t(crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_407 ),
inference(resolution,[],[f7291,f1224]) ).
fof(f17967,plain,
( spl4_742
| ~ spl4_137
| ~ spl4_407 ),
inference(avatar_split_clause,[],[f7477,f7290,f1347,f17965]) ).
fof(f17965,plain,
( spl4_742
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK1)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_742])]) ).
fof(f7477,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X2,X3,s(sK3,sK0))
| ~ s_t(X2,s(sK3,sK1),X0)
| s_t(s(sK3,sK0),crossbar(X2,X3,s(sK3,sK0),X0,X1,s(sK3,sK1)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_407 ),
inference(resolution,[],[f7291,f1348]) ).
fof(f17961,plain,
( spl4_741
| ~ spl4_187
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3060,f2980,f2028,f17959]) ).
fof(f17959,plain,
( spl4_741
<=> ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_741])]) ).
fof(f3060,plain,
( ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2)) )
| ~ spl4_187
| ~ spl4_238 ),
inference(resolution,[],[f2981,f2029]) ).
fof(f17955,plain,
( spl4_740
| ~ spl4_188
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f3059,f2980,f2032,f17953]) ).
fof(f17953,plain,
( spl4_740
<=> ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_740])]) ).
fof(f3059,plain,
( ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),ext(s(sK3,sK0),X0,X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),X0,X1,X2)) )
| ~ spl4_188
| ~ spl4_238 ),
inference(resolution,[],[f2981,f2033]) ).
fof(f17909,plain,
( spl4_358
| ~ spl4_250
| ~ spl4_330 ),
inference(avatar_split_clause,[],[f17908,f5233,f3277,f5422]) ).
fof(f17908,plain,
( s_t(sK3,sK0,sK1)
| ~ spl4_250
| ~ spl4_330 ),
inference(forward_demodulation,[],[f5234,f3279]) ).
fof(f5234,plain,
( s_t(sK3,sK0,sK2)
| ~ spl4_330 ),
inference(avatar_component_clause,[],[f5233]) ).
fof(f17903,plain,
( spl4_739
| spl4_330
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17330,f17071,f5233,f17900]) ).
fof(f17330,plain,
( sameside(sK0,sK3,sK0)
| spl4_330
| ~ spl4_709 ),
inference(resolution,[],[f17072,f5235]) ).
fof(f5235,plain,
( ~ s_t(sK3,sK0,sK2)
| spl4_330 ),
inference(avatar_component_clause,[],[f5233]) ).
fof(f17896,plain,
( spl4_738
| ~ spl4_187
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3024,f2963,f2028,f17894]) ).
fof(f17894,plain,
( spl4_738
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK1),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_738])]) ).
fof(f3024,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK1),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) )
| ~ spl4_187
| ~ spl4_236 ),
inference(resolution,[],[f2964,f2029]) ).
fof(f17890,plain,
( spl4_737
| ~ spl4_188
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f3023,f2963,f2032,f17888]) ).
fof(f17888,plain,
( spl4_737
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_737])]) ).
fof(f3023,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(s(sK3,sK0),ext(X0,s(sK3,sK1),X1,X2),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(X0,s(sK3,sK1),X1,X2)) )
| ~ spl4_188
| ~ spl4_236 ),
inference(resolution,[],[f2964,f2033]) ).
fof(f17885,plain,
( spl4_736
| ~ spl4_137
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1778,f1512,f1347,f17883]) ).
fof(f17883,plain,
( spl4_736
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),crossbar(X0,X1,s(sK3,sK1),X2,X3,s(sK3,sK0)),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X0,X1,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_736])]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),crossbar(X0,X1,s(sK3,sK1),X2,X3,s(sK3,sK0)),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X0,X1,s(sK3,sK1)) )
| ~ spl4_137
| ~ spl4_151 ),
inference(resolution,[],[f1348,f1513]) ).
fof(f17880,plain,
( spl4_735
| ~ spl4_123
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1768,f1512,f1223,f17878]) ).
fof(f17878,plain,
( spl4_735
<=> ! [X0,X3,X2,X1] :
( s_t(crossbar(X0,X1,s(sK3,sK1),X2,X3,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X0,X1,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_735])]) ).
fof(f1768,plain,
( ! [X2,X3,X0,X1] :
( s_t(crossbar(X0,X1,s(sK3,sK1),X2,X3,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),X2)
| ~ s_t(X2,X3,s(sK3,sK1))
| ~ s_t(X0,X1,s(sK3,sK1)) )
| ~ spl4_123
| ~ spl4_151 ),
inference(resolution,[],[f1224,f1513]) ).
fof(f17875,plain,
( spl4_734
| ~ spl4_123
| ~ spl4_412 ),
inference(avatar_split_clause,[],[f7561,f7310,f1223,f17873]) ).
fof(f17873,plain,
( spl4_734
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X0)
| s_t(crossbar(X2,s(sK3,sK1),X1,X0,s(sK3,sK0),X3),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_734])]) ).
fof(f7561,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X0)
| s_t(crossbar(X2,s(sK3,sK1),X1,X0,s(sK3,sK0),X3),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_412 ),
inference(resolution,[],[f7311,f1224]) ).
fof(f17870,plain,
( spl4_733
| ~ spl4_137
| ~ spl4_412 ),
inference(avatar_split_clause,[],[f7560,f7310,f1347,f17868]) ).
fof(f17868,plain,
( spl4_733
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X0)
| s_t(s(sK3,sK0),crossbar(X2,s(sK3,sK1),X1,X0,s(sK3,sK0),X3),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_733])]) ).
fof(f7560,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,s(sK3,sK0),X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X2,X3,X0)
| s_t(s(sK3,sK0),crossbar(X2,s(sK3,sK1),X1,X0,s(sK3,sK0),X3),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_412 ),
inference(resolution,[],[f7311,f1348]) ).
fof(f17865,plain,
( spl4_732
| ~ spl4_137
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1779,f1516,f1347,f17863]) ).
fof(f17863,plain,
( spl4_732
<=> ! [X0,X3,X2,X1] :
( s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK1),X3),s(sK3,sK2))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_732])]) ).
fof(f1779,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(sK3,sK0),crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK1),X3),s(sK3,sK2))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_137
| ~ spl4_152 ),
inference(resolution,[],[f1348,f1517]) ).
fof(f17860,plain,
( spl4_731
| ~ spl4_123
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1769,f1516,f1223,f17858]) ).
fof(f17858,plain,
( spl4_731
<=> ! [X0,X3,X2,X1] :
( s_t(crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK1),X3),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_731])]) ).
fof(f1769,plain,
( ! [X2,X3,X0,X1] :
( s_t(crossbar(X0,s(sK3,sK0),X1,X2,s(sK3,sK1),X3),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,X3,X2)
| ~ s_t(X2,s(sK3,sK1),X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_123
| ~ spl4_152 ),
inference(resolution,[],[f1224,f1517]) ).
fof(f17854,plain,
( spl4_730
| ~ spl4_65
| ~ spl4_399 ),
inference(avatar_split_clause,[],[f7257,f6734,f776,f17852]) ).
fof(f17852,plain,
( spl4_730
<=> ! [X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK1) = crossbar(X0,s(sK3,sK1),s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_730])]) ).
fof(f6734,plain,
( spl4_399
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X4)
| crossbar(X0,X3,X4,X2,X3,X1) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_399])]) ).
fof(f7257,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK1) = crossbar(X0,s(sK3,sK1),s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),X1) )
| ~ spl4_65
| ~ spl4_399 ),
inference(resolution,[],[f6735,f778]) ).
fof(f6735,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X3,X4)
| crossbar(X0,X3,X4,X2,X3,X1) = X3 )
| ~ spl4_399 ),
inference(avatar_component_clause,[],[f6734]) ).
fof(f17848,plain,
( spl4_729
| ~ spl4_2
| ~ spl4_399 ),
inference(avatar_split_clause,[],[f7256,f6734,f417,f17846]) ).
fof(f17846,plain,
( spl4_729
<=> ! [X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = crossbar(X0,s(sK3,sK1),s(sK3,sK2),s(sK3,sK0),s(sK3,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_729])]) ).
fof(f7256,plain,
( ! [X0,X1] :
( ~ s_t(X0,X1,s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = crossbar(X0,s(sK3,sK1),s(sK3,sK2),s(sK3,sK0),s(sK3,sK1),X1) )
| ~ spl4_2
| ~ spl4_399 ),
inference(resolution,[],[f6735,f419]) ).
fof(f17844,plain,
( spl4_728
| spl4_173
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17325,f17071,f1806,f17841]) ).
fof(f17841,plain,
( spl4_728
<=> sameside(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_728])]) ).
fof(f1806,plain,
( spl4_173
<=> s_t(sK1,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_173])]) ).
fof(f17325,plain,
( sameside(sK0,sK1,sK0)
| spl4_173
| ~ spl4_709 ),
inference(resolution,[],[f17072,f1808]) ).
fof(f1808,plain,
( ~ s_t(sK1,sK0,sK2)
| spl4_173 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f17837,plain,
( spl4_727
| ~ spl4_65
| ~ spl4_398 ),
inference(avatar_split_clause,[],[f7203,f6730,f776,f17835]) ).
fof(f17835,plain,
( spl4_727
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,X1,s(sK3,sK0))
| s(sK3,sK0) = crossbar(X0,X1,s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_727])]) ).
fof(f6730,plain,
( spl4_398
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X1)
| crossbar(X0,X4,X1,X2,X3,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_398])]) ).
fof(f7203,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,X1,s(sK3,sK0))
| s(sK3,sK0) = crossbar(X0,X1,s(sK3,sK0),s(sK3,sK2),s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_65
| ~ spl4_398 ),
inference(resolution,[],[f6731,f778]) ).
fof(f6731,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X4,X1)
| crossbar(X0,X4,X1,X2,X3,X1) = X1 )
| ~ spl4_398 ),
inference(avatar_component_clause,[],[f6730]) ).
fof(f17830,plain,
( spl4_726
| ~ spl4_2
| ~ spl4_398 ),
inference(avatar_split_clause,[],[f7202,f6730,f417,f17828]) ).
fof(f17828,plain,
( spl4_726
<=> ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,X1,s(sK3,sK2))
| s(sK3,sK2) = crossbar(X0,X1,s(sK3,sK2),s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_726])]) ).
fof(f7202,plain,
( ! [X0,X1] :
( ~ s_t(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,X1,s(sK3,sK2))
| s(sK3,sK2) = crossbar(X0,X1,s(sK3,sK2),s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_2
| ~ spl4_398 ),
inference(resolution,[],[f6731,f419]) ).
fof(f17825,plain,
( spl4_725
| ~ spl4_123
| ~ spl4_394 ),
inference(avatar_split_clause,[],[f7060,f6702,f1223,f17823]) ).
fof(f17823,plain,
( spl4_725
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK1))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s_t(ext(ext(s(sK3,sK1),X2,alpha,gamma),X2,X0,X1),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_725])]) ).
fof(f7060,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK1))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s_t(ext(ext(s(sK3,sK1),X2,alpha,gamma),X2,X0,X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_394 ),
inference(resolution,[],[f6703,f1224]) ).
fof(f17820,plain,
( spl4_724
| ~ spl4_137
| ~ spl4_394 ),
inference(avatar_split_clause,[],[f7059,f6702,f1347,f17818]) ).
fof(f17818,plain,
( spl4_724
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK1))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),X2,alpha,gamma),X2,X0,X1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_724])]) ).
fof(f7059,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,s(sK3,sK1))
| ~ s_t(s(sK3,sK0),X2,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),X2,alpha,gamma),X2,X0,X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_394 ),
inference(resolution,[],[f6703,f1348]) ).
fof(f17815,plain,
( spl4_723
| ~ spl4_123
| ~ spl4_391 ),
inference(avatar_split_clause,[],[f6956,f6690,f1223,f17813]) ).
fof(f17813,plain,
( spl4_723
<=> ! [X0,X3,X2,X1] :
( ~ s_t(s(sK3,sK1),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(ip(s(sK3,sK1),X0,X1,X2,X3),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_723])]) ).
fof(f6956,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(sK3,sK1),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(ip(s(sK3,sK1),X0,X1,X2,X3),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_391 ),
inference(resolution,[],[f6691,f1224]) ).
fof(f17810,plain,
( spl4_722
| ~ spl4_137
| ~ spl4_391 ),
inference(avatar_split_clause,[],[f6955,f6690,f1347,f17808]) ).
fof(f17808,plain,
( spl4_722
<=> ! [X0,X3,X2,X1] :
( ~ s_t(s(sK3,sK1),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(s(sK3,sK0),ip(s(sK3,sK1),X0,X1,X2,X3),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_722])]) ).
fof(f6955,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(sK3,sK1),X0,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(s(sK3,sK0),X3,s(sK3,sK1))
| s_t(s(sK3,sK0),ip(s(sK3,sK1),X0,X1,X2,X3),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_391 ),
inference(resolution,[],[f6691,f1348]) ).
fof(f17805,plain,
( spl4_721
| ~ spl4_123
| ~ spl4_388 ),
inference(avatar_split_clause,[],[f6853,f6678,f1223,f17803]) ).
fof(f17803,plain,
( spl4_721
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK1),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s_t(ip(X0,X1,X2,s(sK3,sK1),X3),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_721])]) ).
fof(f6853,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK1),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s_t(ip(X0,X1,X2,s(sK3,sK1),X3),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_388 ),
inference(resolution,[],[f6679,f1224]) ).
fof(f17800,plain,
( spl4_720
| ~ spl4_137
| ~ spl4_388 ),
inference(avatar_split_clause,[],[f6852,f6678,f1347,f17798]) ).
fof(f17798,plain,
( spl4_720
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK1),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s_t(s(sK3,sK0),ip(X0,X1,X2,s(sK3,sK1),X3),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_720])]) ).
fof(f6852,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(s(sK3,sK1),X3,X2)
| ~ s_t(s(sK3,sK0),X1,s(sK3,sK1))
| s_t(s(sK3,sK0),ip(X0,X1,X2,s(sK3,sK1),X3),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_388 ),
inference(resolution,[],[f6679,f1348]) ).
fof(f17765,plain,
( spl4_719
| spl4_360
| ~ spl4_709 ),
inference(avatar_split_clause,[],[f17320,f17071,f5894,f17762]) ).
fof(f5894,plain,
( spl4_360
<=> s_t(sK0,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_360])]) ).
fof(f17320,plain,
( sameside(sK3,sK0,sK3)
| spl4_360
| ~ spl4_709 ),
inference(resolution,[],[f17072,f5896]) ).
fof(f5896,plain,
( ~ s_t(sK0,sK3,sK1)
| spl4_360 ),
inference(avatar_component_clause,[],[f5894]) ).
fof(f17127,plain,
( spl4_718
| ~ spl4_216
| ~ spl4_250 ),
inference(avatar_split_clause,[],[f15483,f3277,f2370,f17124]) ).
fof(f17124,plain,
( spl4_718
<=> sameside(sK1,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_718])]) ).
fof(f2370,plain,
( spl4_216
<=> sameside(sK2,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_216])]) ).
fof(f15483,plain,
( sameside(sK1,sK0,sK1)
| ~ spl4_216
| ~ spl4_250 ),
inference(superposition,[],[f2372,f3279]) ).
fof(f2372,plain,
( sameside(sK2,sK0,sK2)
| ~ spl4_216 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f17105,plain,
( spl4_717
| ~ spl4_192
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6304,f6082,f2048,f17103]) ).
fof(f17103,plain,
( spl4_717
<=> ! [X0,X1] : s_col(X0,X1,ins(X0,X1,X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_717])]) ).
fof(f2048,plain,
( spl4_192
<=> ! [X0,X3,X2,X1] : s_col(X0,X1,ext(X0,X1,X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_192])]) ).
fof(f6304,plain,
( ! [X0,X1] : s_col(X0,X1,ins(X0,X1,X0,X1))
| ~ spl4_192
| ~ spl4_369 ),
inference(superposition,[],[f2049,f6083]) ).
fof(f2049,plain,
( ! [X2,X3,X0,X1] : s_col(X0,X1,ext(X0,X1,X2,X3))
| ~ spl4_192 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f17101,plain,
( spl4_716
| ~ spl4_191
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6303,f6082,f2044,f17099]) ).
fof(f17099,plain,
( spl4_716
<=> ! [X0,X1] : s_col(ins(X0,X1,X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_716])]) ).
fof(f2044,plain,
( spl4_191
<=> ! [X0,X3,X2,X1] : s_col(ext(X0,X1,X2,X3),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_191])]) ).
fof(f6303,plain,
( ! [X0,X1] : s_col(ins(X0,X1,X0,X1),X0,X1)
| ~ spl4_191
| ~ spl4_369 ),
inference(superposition,[],[f2045,f6083]) ).
fof(f2045,plain,
( ! [X2,X3,X0,X1] : s_col(ext(X0,X1,X2,X3),X0,X1)
| ~ spl4_191 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f17097,plain,
( spl4_715
| ~ spl4_190
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6302,f6082,f2040,f17095]) ).
fof(f17095,plain,
( spl4_715
<=> ! [X0,X1] : s_col(X1,ins(X0,X1,X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_715])]) ).
fof(f2040,plain,
( spl4_190
<=> ! [X0,X3,X2,X1] : s_col(X0,ext(X1,X0,X2,X3),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_190])]) ).
fof(f6302,plain,
( ! [X0,X1] : s_col(X1,ins(X0,X1,X0,X1),X0)
| ~ spl4_190
| ~ spl4_369 ),
inference(superposition,[],[f2041,f6083]) ).
fof(f2041,plain,
( ! [X2,X3,X0,X1] : s_col(X0,ext(X1,X0,X2,X3),X1)
| ~ spl4_190 ),
inference(avatar_component_clause,[],[f2040]) ).
fof(f17093,plain,
( spl4_714
| ~ spl4_189
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6301,f6082,f2036,f17091]) ).
fof(f17091,plain,
( spl4_714
<=> ! [X0,X1] : s_t(ins(X0,X1,X0,X1),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_714])]) ).
fof(f6301,plain,
( ! [X0,X1] : s_t(ins(X0,X1,X0,X1),X1,X0)
| ~ spl4_189
| ~ spl4_369 ),
inference(superposition,[],[f2037,f6083]) ).
fof(f17089,plain,
( spl4_713
| ~ spl4_45
| ~ spl4_369 ),
inference(avatar_split_clause,[],[f6299,f6082,f606,f17087]) ).
fof(f17087,plain,
( spl4_713
<=> ! [X0,X1] : s_t(X0,X1,ins(X0,X1,X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_713])]) ).
fof(f606,plain,
( spl4_45
<=> ! [X0,X3,X2,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f6299,plain,
( ! [X0,X1] : s_t(X0,X1,ins(X0,X1,X0,X1))
| ~ spl4_45
| ~ spl4_369 ),
inference(superposition,[],[f607,f6083]) ).
fof(f607,plain,
( ! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3))
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f17085,plain,
( spl4_712
| ~ spl4_189
| ~ spl4_298 ),
inference(avatar_split_clause,[],[f4636,f4577,f2036,f17083]) ).
fof(f17083,plain,
( spl4_712
<=> ! [X0,X1] : s_m(ext(X0,X1,X1,X0),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_712])]) ).
fof(f4577,plain,
( spl4_298
<=> ! [X2,X0,X1] :
( s_m(ext(X0,X1,X1,X2),X1,X2)
| ~ s_t(ext(X0,X1,X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_298])]) ).
fof(f4636,plain,
( ! [X0,X1] : s_m(ext(X0,X1,X1,X0),X1,X0)
| ~ spl4_189
| ~ spl4_298 ),
inference(resolution,[],[f4578,f2037]) ).
fof(f4578,plain,
( ! [X2,X0,X1] :
( ~ s_t(ext(X0,X1,X1,X2),X1,X2)
| s_m(ext(X0,X1,X1,X2),X1,X2) )
| ~ spl4_298 ),
inference(avatar_component_clause,[],[f4577]) ).
fof(f17081,plain,
( spl4_711
| ~ spl4_44
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f4046,f3550,f602,f17079]) ).
fof(f17079,plain,
( spl4_711
<=> ! [X2,X0,X1] :
( ~ s_e(X0,X0,X1,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_711])]) ).
fof(f602,plain,
( spl4_44
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f4046,plain,
( ! [X2,X0,X1] :
( ~ s_e(X0,X0,X1,X2)
| X1 = X2 )
| ~ spl4_44
| ~ spl4_276 ),
inference(resolution,[],[f3551,f603]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 )
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f17077,plain,
( spl4_710
| ~ spl4_194
| ~ spl4_196 ),
inference(avatar_split_clause,[],[f2176,f2065,f2057,f17075]) ).
fof(f2057,plain,
( spl4_194
<=> ! [X0,X1] :
( s_t(X0,X1,X0)
| sameside(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_194])]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X0,X1,X0) )
| ~ spl4_194
| ~ spl4_196 ),
inference(resolution,[],[f2066,f2058]) ).
fof(f2058,plain,
( ! [X0,X1] :
( s_t(X0,X1,X0)
| sameside(X0,X1,X0) )
| ~ spl4_194 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f17073,plain,
( spl4_709
| ~ spl4_194
| ~ spl4_195 ),
inference(avatar_split_clause,[],[f2165,f2061,f2057,f17071]) ).
fof(f2165,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| sameside(X1,X0,X1) )
| ~ spl4_194
| ~ spl4_195 ),
inference(resolution,[],[f2062,f2058]) ).
fof(f17069,plain,
( spl4_708
| ~ spl4_24
| ~ spl4_193 ),
inference(avatar_split_clause,[],[f2132,f2052,f513,f17067]) ).
fof(f17067,plain,
( spl4_708
<=> ! [X0,X1] :
( X0 != X1
| s(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_708])]) ).
fof(f2052,plain,
( spl4_193
<=> ! [X0,X1] :
( s(X0,X1) != X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_193])]) ).
fof(f2132,plain,
( ! [X0,X1] :
( X0 != X1
| s(X0,X1) = X0 )
| ~ spl4_24
| ~ spl4_193 ),
inference(superposition,[],[f2053,f514]) ).
fof(f2053,plain,
( ! [X0,X1] :
( s(X0,X1) != X0
| X0 = X1 )
| ~ spl4_193 ),
inference(avatar_component_clause,[],[f2052]) ).
fof(f17065,plain,
( spl4_707
| ~ spl4_35
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2074,f2036,f564,f17063]) ).
fof(f17063,plain,
( spl4_707
<=> ! [X0,X3,X2,X1] : s_col(X0,X1,ext(X1,X0,X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_707])]) ).
fof(f2074,plain,
( ! [X2,X3,X0,X1] : s_col(X0,X1,ext(X1,X0,X2,X3))
| ~ spl4_35
| ~ spl4_189 ),
inference(resolution,[],[f2037,f565]) ).
fof(f17061,plain,
( spl4_706
| ~ spl4_34
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2073,f2036,f560,f17059]) ).
fof(f17059,plain,
( spl4_706
<=> ! [X0,X3,X2,X1] : s_col(X0,ext(X0,X1,X2,X3),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_706])]) ).
fof(f2073,plain,
( ! [X2,X3,X0,X1] : s_col(X0,ext(X0,X1,X2,X3),X1)
| ~ spl4_34
| ~ spl4_189 ),
inference(resolution,[],[f2037,f561]) ).
fof(f17057,plain,
( spl4_705
| ~ spl4_33
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2072,f2036,f556,f17055]) ).
fof(f17055,plain,
( spl4_705
<=> ! [X0,X3,X2,X1] : s_col(ext(X0,X1,X2,X3),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_705])]) ).
fof(f2072,plain,
( ! [X2,X3,X0,X1] : s_col(ext(X0,X1,X2,X3),X1,X0)
| ~ spl4_33
| ~ spl4_189 ),
inference(resolution,[],[f2037,f557]) ).
fof(f17052,plain,
( spl4_704
| ~ spl4_123
| ~ spl4_308 ),
inference(avatar_split_clause,[],[f4841,f4620,f1223,f17050]) ).
fof(f17050,plain,
( spl4_704
<=> ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_704])]) ).
fof(f4841,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_308 ),
inference(resolution,[],[f4621,f1224]) ).
fof(f17047,plain,
( spl4_703
| ~ spl4_137
| ~ spl4_308 ),
inference(avatar_split_clause,[],[f4840,f4620,f1347,f17045]) ).
fof(f17045,plain,
( spl4_703
<=> ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_703])]) ).
fof(f4840,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK0),X0),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_308 ),
inference(resolution,[],[f4621,f1348]) ).
fof(f17042,plain,
( spl4_702
| ~ spl4_123
| ~ spl4_307 ),
inference(avatar_split_clause,[],[f4801,f4616,f1223,f17040]) ).
fof(f17040,plain,
( spl4_702
<=> ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_702])]) ).
fof(f4801,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_307 ),
inference(resolution,[],[f4617,f1224]) ).
fof(f17037,plain,
( spl4_701
| ~ spl4_137
| ~ spl4_307 ),
inference(avatar_split_clause,[],[f4800,f4616,f1347,f17035]) ).
fof(f17035,plain,
( spl4_701
<=> ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_701])]) ).
fof(f4800,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),s(sK3,sK1),X0),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_307 ),
inference(resolution,[],[f4617,f1348]) ).
fof(f17031,plain,
( spl4_700
| ~ spl4_45
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2257,f2032,f606,f17029]) ).
fof(f17029,plain,
( spl4_700
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),ext(s(sK3,sK0),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_700])]) ).
fof(f2257,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),ext(s(sK3,sK0),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),ext(s(sK3,sK0),s(sK3,sK1),X0,X1)) )
| ~ spl4_45
| ~ spl4_188 ),
inference(resolution,[],[f2033,f607]) ).
fof(f17025,plain,
( spl4_699
| ~ spl4_45
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2246,f2028,f606,f17023]) ).
fof(f17023,plain,
( spl4_699
<=> ! [X0,X1] :
( s_t(s(sK3,sK1),ext(s(sK3,sK0),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK0),s(sK3,sK1),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_699])]) ).
fof(f2246,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK1),ext(s(sK3,sK0),s(sK3,sK1),X0,X1),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),ext(s(sK3,sK0),s(sK3,sK1),X0,X1)) )
| ~ spl4_45
| ~ spl4_187 ),
inference(resolution,[],[f2029,f607]) ).
fof(f17007,plain,
( spl4_158
| spl4_698
| ~ spl4_60
| ~ spl4_149 ),
inference(avatar_split_clause,[],[f1529,f1504,f725,f17005,f1632]) ).
fof(f17005,plain,
( spl4_698
<=> ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK0))
| X0 = X1
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0)
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_698])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK0))
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X1)
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0)
| s(sK3,sK1) = s(sK3,sK2)
| X0 = X1 )
| ~ spl4_60
| ~ spl4_149 ),
inference(resolution,[],[f1505,f727]) ).
fof(f16985,plain,
( spl4_697
| ~ spl4_250
| ~ spl4_696 ),
inference(avatar_split_clause,[],[f16981,f16977,f3277,f16983]) ).
fof(f16983,plain,
( spl4_697
<=> ! [X0,X1] :
( ~ s_col(s(sK3,sK1),s(sK3,sK0),X1)
| ~ s_col(s(sK3,sK1),s(sK3,sK0),X0)
| s_col(X0,X1,s(sK3,sK1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_697])]) ).
fof(f16977,plain,
( spl4_696
<=> ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK1))
| X0 = X1
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0)
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_696])]) ).
fof(f16981,plain,
( ! [X0,X1] :
( ~ s_col(s(sK3,sK1),s(sK3,sK0),X1)
| ~ s_col(s(sK3,sK1),s(sK3,sK0),X0)
| s_col(X0,X1,s(sK3,sK1))
| X0 = X1 )
| ~ spl4_250
| ~ spl4_696 ),
inference(forward_demodulation,[],[f16980,f3279]) ).
fof(f16980,plain,
( ! [X0,X1] :
( ~ s_col(s(sK3,sK1),s(sK3,sK0),X0)
| s_col(X0,X1,s(sK3,sK1))
| X0 = X1
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X1) )
| ~ spl4_250
| ~ spl4_696 ),
inference(forward_demodulation,[],[f16978,f3279]) ).
fof(f16978,plain,
( ! [X0,X1] :
( ~ s_col(s(sK3,sK2),s(sK3,sK0),X1)
| X0 = X1
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0)
| s_col(X0,X1,s(sK3,sK1)) )
| ~ spl4_696 ),
inference(avatar_component_clause,[],[f16977]) ).
fof(f16979,plain,
( spl4_273
| spl4_696
| ~ spl4_52
| ~ spl4_149 ),
inference(avatar_split_clause,[],[f1527,f1504,f688,f16977,f3534]) ).
fof(f1527,plain,
( ! [X0,X1] :
( s_col(X0,X1,s(sK3,sK1))
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X1)
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0)
| s(sK3,sK0) = s(sK3,sK2)
| X0 = X1 )
| ~ spl4_52
| ~ spl4_149 ),
inference(resolution,[],[f1505,f690]) ).
fof(f16975,plain,
( spl4_158
| spl4_695
| ~ spl4_65
| ~ spl4_542 ),
inference(avatar_split_clause,[],[f11820,f11720,f776,f16973,f1632]) ).
fof(f16973,plain,
( spl4_695
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK0))
| ~ s_t(sK2,sK1,X0)
| s_t(s(sK3,sK2),s(sK3,sK0),s(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_695])]) ).
fof(f11720,plain,
( spl4_542
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X1),s(X0,X4),X2)
| s(X0,X1) = s(X0,X4)
| ~ s_t(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_542])]) ).
fof(f11820,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK0))
| s_t(s(sK3,sK2),s(sK3,sK0),s(sK3,X0))
| s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(sK2,sK1,X0) )
| ~ spl4_65
| ~ spl4_542 ),
inference(resolution,[],[f11721,f778]) ).
fof(f11721,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X0,X1),s(X0,X4),X2)
| s_t(s(X0,X1),s(X0,X3),X2)
| s_t(s(X0,X1),X2,s(X0,X3))
| s(X0,X1) = s(X0,X4)
| ~ s_t(X1,X4,X3) )
| ~ spl4_542 ),
inference(avatar_component_clause,[],[f11720]) ).
fof(f16971,plain,
( spl4_158
| spl4_694
| ~ spl4_65
| ~ spl4_541 ),
inference(avatar_split_clause,[],[f11765,f11716,f776,f16969,f1632]) ).
fof(f16969,plain,
( spl4_694
<=> ! [X0] :
( s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK0))
| ~ s_t(sK2,sK1,X0)
| s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_694])]) ).
fof(f11716,plain,
( spl4_541
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X4),s(X0,X1),X2)
| s(X0,X1) = s(X0,X4)
| ~ s_t(X4,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_541])]) ).
fof(f11765,plain,
( ! [X0] :
( s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK0))
| s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,X0))
| s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(sK2,sK1,X0) )
| ~ spl4_65
| ~ spl4_541 ),
inference(resolution,[],[f11717,f778]) ).
fof(f11717,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X0,X4),s(X0,X1),X2)
| s_t(s(X0,X1),s(X0,X3),X2)
| s_t(s(X0,X1),X2,s(X0,X3))
| s(X0,X1) = s(X0,X4)
| ~ s_t(X4,X1,X3) )
| ~ spl4_541 ),
inference(avatar_component_clause,[],[f11716]) ).
fof(f16966,plain,
( spl4_693
| ~ spl4_123
| ~ spl4_328 ),
inference(avatar_split_clause,[],[f5282,f4964,f1223,f16964]) ).
fof(f16964,plain,
( spl4_693
<=> ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),s(sK3,sK0))
| s_t(ext(ext(s(sK3,sK0),s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_693])]) ).
fof(f5282,plain,
( ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),s(sK3,sK0))
| s_t(ext(ext(s(sK3,sK0),s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_328 ),
inference(resolution,[],[f4965,f1224]) ).
fof(f16961,plain,
( spl4_692
| ~ spl4_137
| ~ spl4_328 ),
inference(avatar_split_clause,[],[f5281,f4964,f1347,f16959]) ).
fof(f16959,plain,
( spl4_692
<=> ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),s(sK3,sK0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK0),s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_692])]) ).
fof(f5281,plain,
( ! [X0,X1] :
( ~ le(X0,X1,s(sK3,sK1),s(sK3,sK0))
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK0),s(sK3,sK1),alpha,gamma),s(sK3,sK1),X0,X1),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_328 ),
inference(resolution,[],[f4965,f1348]) ).
fof(f16956,plain,
( spl4_691
| ~ spl4_132
| ~ spl4_137 ),
inference(avatar_split_clause,[],[f1775,f1347,f1276,f16954]) ).
fof(f16954,plain,
( spl4_691
<=> ! [X0,X1] :
( s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK2))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_691])]) ).
fof(f1775,plain,
( ! [X0,X1] :
( s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK2))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_132
| ~ spl4_137 ),
inference(resolution,[],[f1348,f1277]) ).
fof(f16951,plain,
( spl4_690
| ~ spl4_123
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1765,f1276,f1223,f16949]) ).
fof(f16949,plain,
( spl4_690
<=> ! [X0,X1] :
( s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_690])]) ).
fof(f1765,plain,
( ! [X0,X1] :
( s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2))
| ~ le(X0,X1,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_123
| ~ spl4_132 ),
inference(resolution,[],[f1224,f1277]) ).
fof(f16933,plain,
( spl4_158
| spl4_689
| ~ spl4_65
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1417,f1383,f776,f16931,f1632]) ).
fof(f16931,plain,
( spl4_689
<=> ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0)
| s_t(s(sK3,sK2),s(sK3,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_689])]) ).
fof(f1383,plain,
( spl4_140
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_140])]) ).
fof(f1417,plain,
( ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| s_t(s(sK3,sK2),s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0)
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_65
| ~ spl4_140 ),
inference(resolution,[],[f1384,f778]) ).
fof(f1384,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X3)
| s_t(X0,X2,X3)
| s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2)
| X0 = X1 )
| ~ spl4_140 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f16929,plain,
( spl4_158
| spl4_688
| ~ spl4_65
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1403,f1379,f776,f16927,f1632]) ).
fof(f16927,plain,
( spl4_688
<=> ! [X0] :
( s_t(s(sK3,sK1),X0,s(sK3,sK0))
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0)
| s_t(s(sK3,sK1),s(sK3,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_688])]) ).
fof(f1379,plain,
( spl4_139
<=> ! [X0,X3,X2,X1] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_139])]) ).
fof(f1403,plain,
( ! [X0] :
( s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s_t(s(sK3,sK1),s(sK3,sK0),X0)
| ~ s_t(s(sK3,sK2),s(sK3,sK1),X0)
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_65
| ~ spl4_139 ),
inference(resolution,[],[f1380,f778]) ).
fof(f1380,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X3)
| s_t(X1,X2,X3)
| s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2)
| X0 = X1 )
| ~ spl4_139 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f16924,plain,
( spl4_687
| ~ spl4_123
| ~ spl4_324 ),
inference(avatar_split_clause,[],[f5200,f4948,f1223,f16922]) ).
fof(f16922,plain,
( spl4_687
<=> ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| s_t(ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_687])]) ).
fof(f5200,plain,
( ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| s_t(ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_324 ),
inference(resolution,[],[f4949,f1224]) ).
fof(f16919,plain,
( spl4_686
| ~ spl4_137
| ~ spl4_324 ),
inference(avatar_split_clause,[],[f5199,f4948,f1347,f16917]) ).
fof(f16917,plain,
( spl4_686
<=> ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK1)),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_686])]) ).
fof(f5199,plain,
( ! [X2,X0,X1] :
( ~ s_t(s(sK3,sK0),X0,X1)
| ~ s_t(X2,s(sK3,sK1),X1)
| s_t(s(sK3,sK0),ip(s(sK3,sK0),X0,X1,X2,s(sK3,sK1)),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_324 ),
inference(resolution,[],[f4949,f1348]) ).
fof(f16914,plain,
( spl4_685
| ~ spl4_123
| ~ spl4_319 ),
inference(avatar_split_clause,[],[f5133,f4927,f1223,f16912]) ).
fof(f16912,plain,
( spl4_685
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(ip(X0,s(sK3,sK1),X1,s(sK3,sK0),X2),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_685])]) ).
fof(f5133,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(ip(X0,s(sK3,sK1),X1,s(sK3,sK0),X2),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_319 ),
inference(resolution,[],[f4928,f1224]) ).
fof(f16909,plain,
( spl4_684
| ~ spl4_137
| ~ spl4_319 ),
inference(avatar_split_clause,[],[f5132,f4927,f1347,f16907]) ).
fof(f16907,plain,
( spl4_684
<=> ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK1),X1,s(sK3,sK0),X2),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_684])]) ).
fof(f5132,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,s(sK3,sK1),X1)
| ~ s_t(s(sK3,sK0),X2,X1)
| s_t(s(sK3,sK0),ip(X0,s(sK3,sK1),X1,s(sK3,sK0),X2),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_319 ),
inference(resolution,[],[f4928,f1348]) ).
fof(f16904,plain,
( spl4_683
| ~ spl4_128
| ~ spl4_137 ),
inference(avatar_split_clause,[],[f1777,f1347,f1260,f16902]) ).
fof(f16902,plain,
( spl4_683
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,s(sK3,sK1),X2),s(sK3,sK2))
| ~ s_t(s(sK3,sK1),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_683])]) ).
fof(f1777,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),ip(X0,s(sK3,sK0),X1,s(sK3,sK1),X2),s(sK3,sK2))
| ~ s_t(s(sK3,sK1),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_128
| ~ spl4_137 ),
inference(resolution,[],[f1348,f1261]) ).
fof(f16899,plain,
( spl4_682
| ~ spl4_129
| ~ spl4_137 ),
inference(avatar_split_clause,[],[f1776,f1347,f1264,f16897]) ).
fof(f16897,plain,
( spl4_682
<=> ! [X2,X0,X1] :
( s_t(s(sK3,sK0),ip(s(sK3,sK1),X0,X1,X2,s(sK3,sK0)),s(sK3,sK2))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_682])]) ).
fof(f1776,plain,
( ! [X2,X0,X1] :
( s_t(s(sK3,sK0),ip(s(sK3,sK1),X0,X1,X2,s(sK3,sK0)),s(sK3,sK2))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK1),X0,X1) )
| ~ spl4_129
| ~ spl4_137 ),
inference(resolution,[],[f1348,f1265]) ).
fof(f16894,plain,
( spl4_681
| ~ spl4_123
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1767,f1260,f1223,f16892]) ).
fof(f16892,plain,
( spl4_681
<=> ! [X2,X0,X1] :
( s_t(ip(X0,s(sK3,sK0),X1,s(sK3,sK1),X2),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(s(sK3,sK1),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_681])]) ).
fof(f1767,plain,
( ! [X2,X0,X1] :
( s_t(ip(X0,s(sK3,sK0),X1,s(sK3,sK1),X2),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(s(sK3,sK1),X2,X1)
| ~ s_t(X0,s(sK3,sK0),X1) )
| ~ spl4_123
| ~ spl4_128 ),
inference(resolution,[],[f1224,f1261]) ).
fof(f16889,plain,
( spl4_680
| ~ spl4_123
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1766,f1264,f1223,f16887]) ).
fof(f16887,plain,
( spl4_680
<=> ! [X2,X0,X1] :
( s_t(ip(s(sK3,sK1),X0,X1,X2,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_680])]) ).
fof(f1766,plain,
( ! [X2,X0,X1] :
( s_t(ip(s(sK3,sK1),X0,X1,X2,s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X2,s(sK3,sK0),X1)
| ~ s_t(s(sK3,sK1),X0,X1) )
| ~ spl4_123
| ~ spl4_129 ),
inference(resolution,[],[f1224,f1265]) ).
fof(f16500,plain,
( spl4_679
| ~ spl4_23
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2949,f2796,f509,f16498]) ).
fof(f16498,plain,
( spl4_679
<=> ! [X0] : ins(alpha,gamma,X0,X0) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_679])]) ).
fof(f509,plain,
( spl4_23
<=> ! [X0,X1] : ext(X1,X0,alpha,gamma) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f2949,plain,
( ! [X0] : ins(alpha,gamma,X0,X0) != X0
| ~ spl4_23
| ~ spl4_235 ),
inference(superposition,[],[f510,f2797]) ).
fof(f510,plain,
( ! [X0,X1] : ext(X1,X0,alpha,gamma) != X0
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f16496,plain,
( spl4_678
| ~ spl4_184
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f2945,f2796,f1950,f16494]) ).
fof(f16494,plain,
( spl4_678
<=> ! [X0,X1] : ins(X1,X1,X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_678])]) ).
fof(f1950,plain,
( spl4_184
<=> ! [X2,X0,X1] : ext(X1,X0,X2,X2) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_184])]) ).
fof(f2945,plain,
( ! [X0,X1] : ins(X1,X1,X0,X0) = X0
| ~ spl4_184
| ~ spl4_235 ),
inference(superposition,[],[f2797,f1951]) ).
fof(f1951,plain,
( ! [X2,X0,X1] : ext(X1,X0,X2,X2) = X0
| ~ spl4_184 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f16492,plain,
( spl4_677
| ~ spl4_179
| ~ spl4_222 ),
inference(avatar_split_clause,[],[f2741,f2658,f1892,f16490]) ).
fof(f16490,plain,
( spl4_677
<=> ! [X0,X1] : s_e(s(X0,X1),X0,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_677])]) ).
fof(f2741,plain,
( ! [X0,X1] : s_e(s(X0,X1),X0,X0,X1)
| ~ spl4_179
| ~ spl4_222 ),
inference(resolution,[],[f2659,f1893]) ).
fof(f16488,plain,
( spl4_676
| ~ spl4_178
| ~ spl4_222 ),
inference(avatar_split_clause,[],[f2734,f2658,f1888,f16486]) ).
fof(f16486,plain,
( spl4_676
<=> ! [X0,X1] : s_e(X0,s(X0,X1),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_676])]) ).
fof(f2734,plain,
( ! [X0,X1] : s_e(X0,s(X0,X1),X1,X0)
| ~ spl4_178
| ~ spl4_222 ),
inference(resolution,[],[f2659,f1889]) ).
fof(f16484,plain,
( spl4_675
| ~ spl4_55
| ~ spl4_179 ),
inference(avatar_split_clause,[],[f1981,f1892,f705,f16482]) ).
fof(f16482,plain,
( spl4_675
<=> ! [X0,X1] : s_e(s(X0,X1),X0,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_675])]) ).
fof(f1981,plain,
( ! [X0,X1] : s_e(s(X0,X1),X0,X1,X0)
| ~ spl4_55
| ~ spl4_179 ),
inference(resolution,[],[f1893,f706]) ).
fof(f16480,plain,
( spl4_674
| ~ spl4_57
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1959,f1888,f713,f16478]) ).
fof(f16478,plain,
( spl4_674
<=> ! [X0,X1] : s_e(X0,X1,s(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_674])]) ).
fof(f1959,plain,
( ! [X0,X1] : s_e(X0,X1,s(X0,X1),X0)
| ~ spl4_57
| ~ spl4_178 ),
inference(resolution,[],[f1889,f714]) ).
fof(f16476,plain,
( spl4_673
| ~ spl4_56
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1958,f1888,f709,f16474]) ).
fof(f16474,plain,
( spl4_673
<=> ! [X0,X1] : s_e(X0,X1,X1,s(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_673])]) ).
fof(f1958,plain,
( ! [X0,X1] : s_e(X0,X1,X1,s(X1,X0))
| ~ spl4_56
| ~ spl4_178 ),
inference(resolution,[],[f1889,f710]) ).
fof(f16472,plain,
( spl4_672
| ~ spl4_55
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f1957,f1888,f705,f16470]) ).
fof(f16470,plain,
( spl4_672
<=> ! [X0,X1] : s_e(X0,s(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_672])]) ).
fof(f1957,plain,
( ! [X0,X1] : s_e(X0,s(X0,X1),X0,X1)
| ~ spl4_55
| ~ spl4_178 ),
inference(resolution,[],[f1889,f706]) ).
fof(f16468,plain,
( spl4_158
| spl4_671
| ~ spl4_60
| ~ spl4_349 ),
inference(avatar_split_clause,[],[f5833,f5368,f725,f16466,f1632]) ).
fof(f16466,plain,
( spl4_671
<=> ! [X0] :
( s_col(X0,s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK0) = X0
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_671])]) ).
fof(f5833,plain,
( ! [X0] :
( s_col(X0,s(sK3,sK0),s(sK3,sK1))
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0)
| s(sK3,sK1) = s(sK3,sK2)
| s(sK3,sK0) = X0 )
| ~ spl4_60
| ~ spl4_349 ),
inference(resolution,[],[f5369,f727]) ).
fof(f16463,plain,
( spl4_273
| spl4_670
| ~ spl4_52
| ~ spl4_349 ),
inference(avatar_split_clause,[],[f5831,f5368,f688,f16461,f3534]) ).
fof(f16461,plain,
( spl4_670
<=> ! [X0] :
( s_col(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = X0
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_670])]) ).
fof(f5831,plain,
( ! [X0] :
( s_col(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0)
| s(sK3,sK0) = s(sK3,sK2)
| s(sK3,sK1) = X0 )
| ~ spl4_52
| ~ spl4_349 ),
inference(resolution,[],[f5369,f690]) ).
fof(f16459,plain,
( spl4_158
| spl4_669
| ~ spl4_65
| ~ spl4_347 ),
inference(avatar_split_clause,[],[f5784,f5357,f776,f16457,f1632]) ).
fof(f16457,plain,
( spl4_669
<=> ! [X0] : s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_669])]) ).
fof(f5784,plain,
( ! [X0] :
( s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK0)))
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_65
| ~ spl4_347 ),
inference(resolution,[],[f5358,f778]) ).
fof(f16449,plain,
( ~ spl4_11
| spl4_667 ),
inference(avatar_contradiction_clause,[],[f16448]) ).
fof(f16448,plain,
( $false
| ~ spl4_11
| spl4_667 ),
inference(resolution,[],[f16434,f461]) ).
fof(f16434,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK1))
| spl4_667 ),
inference(avatar_component_clause,[],[f16432]) ).
fof(f16432,plain,
( spl4_667
<=> s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_667])]) ).
fof(f16440,plain,
( spl4_668
| ~ spl4_43
| ~ spl4_612 ),
inference(avatar_split_clause,[],[f16017,f15902,f598,f16437]) ).
fof(f16017,plain,
( s_t(sK0,sK3,xb)
| ~ spl4_43
| ~ spl4_612 ),
inference(resolution,[],[f15904,f599]) ).
fof(f15904,plain,
( s_t(xb,sK3,sK0)
| ~ spl4_612 ),
inference(avatar_component_clause,[],[f15902]) ).
fof(f16435,plain,
( ~ spl4_667
| ~ spl4_27
| ~ spl4_250
| ~ spl4_663
| spl4_665 ),
inference(avatar_split_clause,[],[f16430,f16419,f16355,f3277,f525,f16432]) ).
fof(f16430,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK1))
| ~ spl4_27
| ~ spl4_250
| ~ spl4_663
| spl4_665 ),
inference(forward_demodulation,[],[f16429,f3279]) ).
fof(f16429,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1))
| ~ spl4_27
| ~ spl4_663
| spl4_665 ),
inference(forward_demodulation,[],[f16420,f16372]) ).
fof(f16420,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| spl4_665 ),
inference(avatar_component_clause,[],[f16419]) ).
fof(f16426,plain,
( spl4_665
| spl4_666
| ~ spl4_177
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2261,f2032,f1862,f16423,f16419]) ).
fof(f16423,plain,
( spl4_666
<=> s_t(s(sK3,sK0),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_666])]) ).
fof(f2261,plain,
( s_t(s(sK3,sK0),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| ~ spl4_177
| ~ spl4_188 ),
inference(resolution,[],[f2033,f1863]) ).
fof(f16413,plain,
( ~ spl4_12
| spl4_664 ),
inference(avatar_contradiction_clause,[],[f16412]) ).
fof(f16412,plain,
( $false
| ~ spl4_12
| spl4_664 ),
inference(resolution,[],[f16362,f465]) ).
fof(f16362,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)))
| spl4_664 ),
inference(avatar_component_clause,[],[f16360]) ).
fof(f16360,plain,
( spl4_664
<=> s_t(s(sK3,sK1),s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_664])]) ).
fof(f16363,plain,
( ~ spl4_664
| ~ spl4_250
| spl4_661 ),
inference(avatar_split_clause,[],[f16353,f16344,f3277,f16360]) ).
fof(f16353,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)))
| ~ spl4_250
| spl4_661 ),
inference(forward_demodulation,[],[f16345,f3279]) ).
fof(f16345,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| spl4_661 ),
inference(avatar_component_clause,[],[f16344]) ).
fof(f16358,plain,
( spl4_663
| ~ spl4_250
| ~ spl4_662 ),
inference(avatar_split_clause,[],[f16352,f16348,f3277,f16355]) ).
fof(f16348,plain,
( spl4_662
<=> s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_662])]) ).
fof(f16352,plain,
( s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK1))
| ~ spl4_250
| ~ spl4_662 ),
inference(forward_demodulation,[],[f16350,f3279]) ).
fof(f16350,plain,
( s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| ~ spl4_662 ),
inference(avatar_component_clause,[],[f16348]) ).
fof(f16351,plain,
( spl4_661
| spl4_662
| ~ spl4_177
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2250,f2028,f1862,f16348,f16344]) ).
fof(f2250,plain,
( s_t(s(sK3,sK1),s(s(sK3,sK1),s(sK3,sK0)),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),s(s(sK3,sK1),s(sK3,sK0)))
| ~ spl4_177
| ~ spl4_187 ),
inference(resolution,[],[f2029,f1863]) ).
fof(f16342,plain,
( spl4_158
| spl4_660
| ~ spl4_60
| ~ spl4_134 ),
inference(avatar_split_clause,[],[f1362,f1335,f725,f16340,f1632]) ).
fof(f16340,plain,
( spl4_660
<=> ! [X0] :
( s_col(s(sK3,sK1),X0,s(sK3,sK0))
| s(sK3,sK1) = X0
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_660])]) ).
fof(f1362,plain,
( ! [X0] :
( s_col(s(sK3,sK1),X0,s(sK3,sK0))
| ~ s_col(s(sK3,sK1),s(sK3,sK2),X0)
| s(sK3,sK1) = X0
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_60
| ~ spl4_134 ),
inference(resolution,[],[f1336,f727]) ).
fof(f16337,plain,
( spl4_273
| spl4_659
| ~ spl4_52
| ~ spl4_134 ),
inference(avatar_split_clause,[],[f1360,f1335,f688,f16335,f3534]) ).
fof(f16335,plain,
( spl4_659
<=> ! [X0] :
( s_col(s(sK3,sK2),X0,s(sK3,sK1))
| s(sK3,sK2) = X0
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_659])]) ).
fof(f1360,plain,
( ! [X0] :
( s_col(s(sK3,sK2),X0,s(sK3,sK1))
| ~ s_col(s(sK3,sK2),s(sK3,sK0),X0)
| s(sK3,sK2) = X0
| s(sK3,sK0) = s(sK3,sK2) )
| ~ spl4_52
| ~ spl4_134 ),
inference(resolution,[],[f1336,f690]) ).
fof(f16332,plain,
( spl4_658
| ~ spl4_123
| ~ spl4_448 ),
inference(avatar_split_clause,[],[f8917,f8773,f1223,f16330]) ).
fof(f16330,plain,
( spl4_658
<=> ! [X0] :
( ~ s_t(sK0,X0,sK1)
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_658])]) ).
fof(f8917,plain,
( ! [X0] :
( ~ s_t(sK0,X0,sK1)
| s_t(ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_448 ),
inference(resolution,[],[f8774,f1224]) ).
fof(f16328,plain,
( spl4_657
| ~ spl4_35
| ~ spl4_612 ),
inference(avatar_split_clause,[],[f16016,f15902,f564,f16325]) ).
fof(f16325,plain,
( spl4_657
<=> s_col(sK3,sK0,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_657])]) ).
fof(f16016,plain,
( s_col(sK3,sK0,xb)
| ~ spl4_35
| ~ spl4_612 ),
inference(resolution,[],[f15904,f565]) ).
fof(f16322,plain,
( spl4_656
| ~ spl4_137
| ~ spl4_448 ),
inference(avatar_split_clause,[],[f8916,f8773,f1347,f16320]) ).
fof(f16320,plain,
( spl4_656
<=> ! [X0] :
( ~ s_t(sK0,X0,sK1)
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_656])]) ).
fof(f8916,plain,
( ! [X0] :
( ~ s_t(sK0,X0,sK1)
| s_t(s(sK3,sK0),ext(ext(s(sK3,sK1),s(sK3,sK0),alpha,gamma),s(sK3,sK0),sK0,X0),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_448 ),
inference(resolution,[],[f8774,f1348]) ).
fof(f16316,plain,
( spl4_655
| ~ spl4_65
| ~ spl4_304 ),
inference(avatar_split_clause,[],[f4754,f4602,f776,f16314]) ).
fof(f16314,plain,
( spl4_655
<=> ! [X0] :
( ~ s_t(X0,s(sK3,sK2),s(sK3,sK0))
| s(sK3,sK2) = ip(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),X0,s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_655])]) ).
fof(f4754,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK2),s(sK3,sK0))
| s(sK3,sK2) = ip(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),X0,s(sK3,sK2)) )
| ~ spl4_65
| ~ spl4_304 ),
inference(resolution,[],[f4603,f778]) ).
fof(f16310,plain,
( spl4_654
| ~ spl4_2
| ~ spl4_304 ),
inference(avatar_split_clause,[],[f4753,f4602,f417,f16308]) ).
fof(f16308,plain,
( spl4_654
<=> ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s(sK3,sK0) = ip(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),X0,s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_654])]) ).
fof(f4753,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s(sK3,sK0) = ip(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),X0,s(sK3,sK0)) )
| ~ spl4_2
| ~ spl4_304 ),
inference(resolution,[],[f4603,f419]) ).
fof(f16305,plain,
( spl4_653
| ~ spl4_65
| ~ spl4_302 ),
inference(avatar_split_clause,[],[f4719,f4593,f776,f16303]) ).
fof(f16303,plain,
( spl4_653
<=> ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s(sK3,sK1) = ip(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_653])]) ).
fof(f4719,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK0))
| s(sK3,sK1) = ip(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1),X0) )
| ~ spl4_65
| ~ spl4_302 ),
inference(resolution,[],[f4594,f778]) ).
fof(f16299,plain,
( spl4_652
| ~ spl4_2
| ~ spl4_302 ),
inference(avatar_split_clause,[],[f4718,f4593,f417,f16297]) ).
fof(f16297,plain,
( spl4_652
<=> ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s(sK3,sK1) = ip(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),s(sK3,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_652])]) ).
fof(f4718,plain,
( ! [X0] :
( ~ s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s(sK3,sK1) = ip(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2),s(sK3,sK1),X0) )
| ~ spl4_2
| ~ spl4_302 ),
inference(resolution,[],[f4594,f419]) ).
fof(f16294,plain,
( spl4_651
| ~ spl4_182
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3357,f3265,f1912,f16292]) ).
fof(f16292,plain,
( spl4_651
<=> ! [X0,X1] :
( ~ le(s(sK3,sK1),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_651])]) ).
fof(f1912,plain,
( spl4_182
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_182])]) ).
fof(f3357,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK1),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182
| ~ spl4_247 ),
inference(resolution,[],[f3266,f1913]) ).
fof(f1913,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f16289,plain,
( spl4_650
| ~ spl4_183
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3356,f3265,f1928,f16287]) ).
fof(f16287,plain,
( spl4_650
<=> ! [X0,X1] :
( ~ le(s(sK3,sK1),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_650])]) ).
fof(f1928,plain,
( spl4_183
<=> ! [X0] :
( s_t(X0,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_183])]) ).
fof(f3356,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK1),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK1),s(sK3,sK0)),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183
| ~ spl4_247 ),
inference(resolution,[],[f3266,f1929]) ).
fof(f1929,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f16283,plain,
( spl4_649
| ~ spl4_120
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3355,f3265,f1169,f16281]) ).
fof(f16281,plain,
( spl4_649
<=> ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_649])]) ).
fof(f1169,plain,
( spl4_120
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).
fof(f3355,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK0)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_120
| ~ spl4_247 ),
inference(resolution,[],[f3266,f1170]) ).
fof(f1170,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_120 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f16277,plain,
( spl4_648
| ~ spl4_131
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f3354,f3265,f1272,f16275]) ).
fof(f16275,plain,
( spl4_648
<=> ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK0)),s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_648])]) ).
fof(f1272,plain,
( spl4_131
<=> ! [X0] :
( s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_131])]) ).
fof(f3354,plain,
( ! [X0,X1] :
( ~ le(s(sK3,sK2),s(sK3,sK0),X0,X1)
| s_t(ins(X0,X1,s(sK3,sK2),s(sK3,sK0)),s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131
| ~ spl4_247 ),
inference(resolution,[],[f3266,f1273]) ).
fof(f1273,plain,
( ! [X0] :
( ~ s_t(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f16257,plain,
( spl4_647
| ~ spl4_34
| ~ spl4_612 ),
inference(avatar_split_clause,[],[f16015,f15902,f560,f16254]) ).
fof(f16254,plain,
( spl4_647
<=> s_col(sK0,xb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_647])]) ).
fof(f16015,plain,
( s_col(sK0,xb,sK3)
| ~ spl4_34
| ~ spl4_612 ),
inference(resolution,[],[f15904,f561]) ).
fof(f16124,plain,
( spl4_646
| ~ spl4_35
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1867,f1862,f564,f16122]) ).
fof(f16122,plain,
( spl4_646
<=> ! [X0,X1] : s_col(X0,s(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_646])]) ).
fof(f1867,plain,
( ! [X0,X1] : s_col(X0,s(X0,X1),X1)
| ~ spl4_35
| ~ spl4_177 ),
inference(resolution,[],[f1863,f565]) ).
fof(f16120,plain,
( spl4_645
| ~ spl4_34
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1866,f1862,f560,f16118]) ).
fof(f16118,plain,
( spl4_645
<=> ! [X0,X1] : s_col(s(X0,X1),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_645])]) ).
fof(f1866,plain,
( ! [X0,X1] : s_col(s(X0,X1),X1,X0)
| ~ spl4_34
| ~ spl4_177 ),
inference(resolution,[],[f1863,f561]) ).
fof(f16116,plain,
( spl4_644
| ~ spl4_33
| ~ spl4_177 ),
inference(avatar_split_clause,[],[f1865,f1862,f556,f16114]) ).
fof(f16114,plain,
( spl4_644
<=> ! [X0,X1] : s_col(X0,X1,s(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_644])]) ).
fof(f1865,plain,
( ! [X0,X1] : s_col(X0,X1,s(X1,X0))
| ~ spl4_33
| ~ spl4_177 ),
inference(resolution,[],[f1863,f557]) ).
fof(f16112,plain,
( spl4_643
| ~ spl4_29
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f614,f544,f540,f16110]) ).
fof(f16110,plain,
( spl4_643
<=> ! [X0,X1] : s_t(s(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_643])]) ).
fof(f540,plain,
( spl4_29
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f614,plain,
( ! [X0,X1] : s_t(s(X0,X1),X0,X1)
| ~ spl4_29
| ~ spl4_30 ),
inference(resolution,[],[f541,f545]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) )
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f16106,plain,
( spl4_642
| ~ spl4_65
| ~ spl4_477 ),
inference(avatar_split_clause,[],[f9709,f9652,f776,f16104]) ).
fof(f16104,plain,
( spl4_642
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK1))
| s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK2,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_642])]) ).
fof(f9652,plain,
( spl4_477
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X1),X2,s(X0,X4))
| ~ s_t(X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_477])]) ).
fof(f9709,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK1))
| s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK2,X0,sK0) )
| ~ spl4_65
| ~ spl4_477 ),
inference(resolution,[],[f9653,f778]) ).
fof(f9653,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X0,X1),X2,s(X0,X4))
| s_t(s(X0,X1),s(X0,X3),X2)
| s_t(s(X0,X1),X2,s(X0,X3))
| ~ s_t(X1,X3,X4) )
| ~ spl4_477 ),
inference(avatar_component_clause,[],[f9652]) ).
fof(f16101,plain,
( ~ spl4_641
| ~ spl4_250
| spl4_639 ),
inference(avatar_split_clause,[],[f16091,f16087,f3277,f16098]) ).
fof(f16098,plain,
( spl4_641
<=> s(sK3,sK0) = ext(s(sK3,sK1),s(sK3,sK1),s(sK3,sK1),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_641])]) ).
fof(f16087,plain,
( spl4_639
<=> s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK1),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_639])]) ).
fof(f16091,plain,
( s(sK3,sK0) != ext(s(sK3,sK1),s(sK3,sK1),s(sK3,sK1),s(sK3,sK0))
| ~ spl4_250
| spl4_639 ),
inference(forward_demodulation,[],[f16088,f3279]) ).
fof(f16088,plain,
( s(sK3,sK0) != ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK1),s(sK3,sK0))
| spl4_639 ),
inference(avatar_component_clause,[],[f16087]) ).
fof(f16096,plain,
( spl4_640
| ~ spl4_33
| ~ spl4_612 ),
inference(avatar_split_clause,[],[f16014,f15902,f556,f16093]) ).
fof(f16014,plain,
( s_col(xb,sK3,sK0)
| ~ spl4_33
| ~ spl4_612 ),
inference(resolution,[],[f15904,f557]) ).
fof(f16090,plain,
( spl4_158
| spl4_639
| ~ spl4_65
| ~ spl4_281 ),
inference(avatar_split_clause,[],[f4176,f3578,f776,f16087,f1632]) ).
fof(f4176,plain,
( s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK1),s(sK3,sK0))
| s(sK3,sK1) = s(sK3,sK2)
| ~ spl4_65
| ~ spl4_281 ),
inference(resolution,[],[f3579,f778]) ).
fof(f16084,plain,
( ~ spl4_638
| ~ spl4_250
| spl4_637 ),
inference(avatar_split_clause,[],[f16079,f16075,f3277,f16081]) ).
fof(f16081,plain,
( spl4_638
<=> s(sK3,sK0) = ext(s(sK3,sK1),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_638])]) ).
fof(f16075,plain,
( spl4_637
<=> s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_637])]) ).
fof(f16079,plain,
( s(sK3,sK0) != ext(s(sK3,sK1),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_250
| spl4_637 ),
inference(forward_demodulation,[],[f16076,f3279]) ).
fof(f16076,plain,
( s(sK3,sK0) != ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| spl4_637 ),
inference(avatar_component_clause,[],[f16075]) ).
fof(f16078,plain,
( spl4_158
| spl4_637
| ~ spl4_65
| ~ spl4_280 ),
inference(avatar_split_clause,[],[f4147,f3574,f776,f16075,f1632]) ).
fof(f4147,plain,
( s(sK3,sK0) = ext(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| s(sK3,sK1) = s(sK3,sK2)
| ~ spl4_65
| ~ spl4_280 ),
inference(resolution,[],[f3575,f778]) ).
fof(f16071,plain,
( spl4_636
| ~ spl4_187
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3745,f3442,f2028,f16069]) ).
fof(f16069,plain,
( spl4_636
<=> ! [X0] :
( ~ s_t(X0,sK1,sK0)
| s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_636])]) ).
fof(f3745,plain,
( ! [X0] :
( ~ s_t(X0,sK1,sK0)
| s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0)) )
| ~ spl4_187
| ~ spl4_264 ),
inference(resolution,[],[f3443,f2029]) ).
fof(f16065,plain,
( spl4_635
| ~ spl4_188
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3744,f3442,f2032,f16063]) ).
fof(f16063,plain,
( spl4_635
<=> ! [X0] :
( ~ s_t(X0,sK1,sK0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_635])]) ).
fof(f3744,plain,
( ! [X0] :
( ~ s_t(X0,sK1,sK0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0)) )
| ~ spl4_188
| ~ spl4_264 ),
inference(resolution,[],[f3443,f2033]) ).
fof(f16060,plain,
( spl4_634
| ~ spl4_176
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3743,f3442,f1856,f16058]) ).
fof(f16058,plain,
( spl4_634
<=> ! [X0] :
( ~ s_t(sK2,X0,sK0)
| s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_634])]) ).
fof(f3743,plain,
( ! [X0] :
( ~ s_t(sK2,X0,sK0)
| s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1857]) ).
fof(f16054,plain,
( spl4_633
| ~ spl4_100
| ~ spl4_188 ),
inference(avatar_split_clause,[],[f2255,f2032,f1015,f16052]) ).
fof(f16052,plain,
( spl4_633
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_633])]) ).
fof(f2255,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK1,X0) )
| ~ spl4_100
| ~ spl4_188 ),
inference(resolution,[],[f2033,f1016]) ).
fof(f16048,plain,
( spl4_632
| ~ spl4_100
| ~ spl4_187 ),
inference(avatar_split_clause,[],[f2244,f2028,f1015,f16046]) ).
fof(f16046,plain,
( spl4_632
<=> ! [X0] :
( s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_632])]) ).
fof(f2244,plain,
( ! [X0] :
( s_t(s(sK3,sK1),s(sK3,X0),s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK1,X0) )
| ~ spl4_100
| ~ spl4_187 ),
inference(resolution,[],[f2029,f1016]) ).
fof(f16043,plain,
( spl4_631
| ~ spl4_100
| ~ spl4_176 ),
inference(avatar_split_clause,[],[f1933,f1856,f1015,f16041]) ).
fof(f16041,plain,
( spl4_631
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK1))
| ~ s_t(sK0,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_631])]) ).
fof(f1933,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK1))
| ~ s_t(sK0,X0,sK2) )
| ~ spl4_100
| ~ spl4_176 ),
inference(resolution,[],[f1857,f1016]) ).
fof(f16011,plain,
( spl4_630
| ~ spl4_65
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1247,f1231,f776,f16009]) ).
fof(f16009,plain,
( spl4_630
<=> ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK1))
| s_t(s(sK3,sK2),s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_630])]) ).
fof(f1247,plain,
( ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK1))
| s_t(s(sK3,sK2),s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK0)) )
| ~ spl4_65
| ~ spl4_125 ),
inference(resolution,[],[f1232,f778]) ).
fof(f16006,plain,
( spl4_629
| spl4_273
| spl4_158
| ~ spl4_65
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1085,f1007,f776,f1632,f3534,f16003]) ).
fof(f16003,plain,
( spl4_629
<=> sameside(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_629])]) ).
fof(f1085,plain,
( s(sK3,sK1) = s(sK3,sK2)
| s(sK3,sK0) = s(sK3,sK2)
| sameside(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1))
| ~ spl4_65
| ~ spl4_98 ),
inference(resolution,[],[f1008,f778]) ).
fof(f16000,plain,
( spl4_628
| ~ spl4_182
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2885,f2768,f1912,f15998]) ).
fof(f15998,plain,
( spl4_628
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_628])]) ).
fof(f2885,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182
| ~ spl4_228 ),
inference(resolution,[],[f2769,f1913]) ).
fof(f15995,plain,
( spl4_627
| ~ spl4_183
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2884,f2768,f1928,f15993]) ).
fof(f15993,plain,
( spl4_627
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_627])]) ).
fof(f2884,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK1))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK1)),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183
| ~ spl4_228 ),
inference(resolution,[],[f2769,f1929]) ).
fof(f15989,plain,
( spl4_626
| ~ spl4_120
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2883,f2768,f1169,f15987]) ).
fof(f15987,plain,
( spl4_626
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK2)),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_626])]) ).
fof(f2883,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK2)),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_120
| ~ spl4_228 ),
inference(resolution,[],[f2769,f1170]) ).
fof(f15983,plain,
( spl4_625
| ~ spl4_131
| ~ spl4_228 ),
inference(avatar_split_clause,[],[f2882,f2768,f1272,f15981]) ).
fof(f15981,plain,
( spl4_625
<=> ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK2)),s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_625])]) ).
fof(f2882,plain,
( ! [X0] :
( ~ sameside(X0,s(sK3,sK0),s(sK3,sK2))
| s_t(c63(X0,s(sK3,sK0),s(sK3,sK2)),s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131
| ~ spl4_228 ),
inference(resolution,[],[f2769,f1273]) ).
fof(f15978,plain,
( spl4_624
| ~ spl4_182
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2820,f2752,f1912,f15976]) ).
fof(f15976,plain,
( spl4_624
<=> ! [X0] :
( ~ sameside(s(sK3,sK1),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK1),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_624])]) ).
fof(f2820,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK1),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK1),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182
| ~ spl4_224 ),
inference(resolution,[],[f2753,f1913]) ).
fof(f15973,plain,
( spl4_623
| ~ spl4_183
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2819,f2752,f1928,f15971]) ).
fof(f15971,plain,
( spl4_623
<=> ! [X0] :
( ~ sameside(s(sK3,sK1),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK1),s(sK3,sK0),X0),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_623])]) ).
fof(f2819,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK1),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK1),s(sK3,sK0),X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183
| ~ spl4_224 ),
inference(resolution,[],[f2753,f1929]) ).
fof(f15967,plain,
( spl4_622
| ~ spl4_120
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2818,f2752,f1169,f15965]) ).
fof(f15965,plain,
( spl4_622
<=> ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK2),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_622])]) ).
fof(f2818,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK2),s(sK3,sK0),X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_120
| ~ spl4_224 ),
inference(resolution,[],[f2753,f1170]) ).
fof(f15963,plain,
( spl4_279
| ~ spl4_36
| ~ spl4_586 ),
inference(avatar_split_clause,[],[f15888,f15060,f568,f3562]) ).
fof(f3562,plain,
( spl4_279
<=> s_m(sK0,sK3,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_279])]) ).
fof(f568,plain,
( spl4_36
<=> ! [X2,X0,X1] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f15060,plain,
( spl4_586
<=> s_m(xb,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_586])]) ).
fof(f15888,plain,
( s_m(sK0,sK3,xb)
| ~ spl4_36
| ~ spl4_586 ),
inference(resolution,[],[f15062,f569]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_m(X2,X1,X0) )
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f15062,plain,
( s_m(xb,sK3,sK0)
| ~ spl4_586 ),
inference(avatar_component_clause,[],[f15060]) ).
fof(f15960,plain,
( spl4_621
| ~ spl4_131
| ~ spl4_224 ),
inference(avatar_split_clause,[],[f2817,f2752,f1272,f15958]) ).
fof(f15958,plain,
( spl4_621
<=> ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK2),s(sK3,sK0),X0),s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_621])]) ).
fof(f2817,plain,
( ! [X0] :
( ~ sameside(s(sK3,sK2),s(sK3,sK0),X0)
| s_t(c63(s(sK3,sK2),s(sK3,sK0),X0),s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131
| ~ spl4_224 ),
inference(resolution,[],[f2753,f1273]) ).
fof(f15956,plain,
( spl4_620
| spl4_158
| ~ spl4_65
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1190,f1149,f776,f1632,f15954]) ).
fof(f15954,plain,
( spl4_620
<=> ! [X0] :
( s_t(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_620])]) ).
fof(f1190,plain,
( ! [X0] :
( s(sK3,sK1) = s(sK3,sK2)
| s_t(X0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK1)) )
| ~ spl4_65
| ~ spl4_115 ),
inference(resolution,[],[f1150,f778]) ).
fof(f15952,plain,
( spl4_619
| spl4_158
| ~ spl4_65
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1181,f1145,f776,f1632,f15950]) ).
fof(f15950,plain,
( spl4_619
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_619])]) ).
fof(f1181,plain,
( ! [X0] :
( s(sK3,sK1) = s(sK3,sK2)
| s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK1)) )
| ~ spl4_65
| ~ spl4_114 ),
inference(resolution,[],[f1146,f778]) ).
fof(f15938,plain,
( spl4_618
| ~ spl4_174
| ~ spl4_250
| ~ spl4_456 ),
inference(avatar_split_clause,[],[f15746,f8805,f3277,f1811,f15936]) ).
fof(f15936,plain,
( spl4_618
<=> ! [X0] :
( ~ sameside(X0,sK0,sK1)
| s_e(X0,sK1,s(sK3,sK1),s(sK3,sK1))
| ~ s_e(sK0,X0,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_618])]) ).
fof(f8805,plain,
( spl4_456
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X4,X0,s(X3,X4),X2)
| ~ sameside(X2,s(X3,X4),s(X3,X1))
| ~ sameside(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_456])]) ).
fof(f15746,plain,
( ! [X0] :
( ~ sameside(X0,sK0,sK1)
| s_e(X0,sK1,s(sK3,sK1),s(sK3,sK1))
| ~ s_e(sK0,X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_174
| ~ spl4_250
| ~ spl4_456 ),
inference(forward_demodulation,[],[f15745,f3279]) ).
fof(f15745,plain,
( ! [X0] :
( s_e(X0,sK1,s(sK3,sK1),s(sK3,sK1))
| ~ s_e(sK0,X0,s(sK3,sK0),s(sK3,sK1))
| ~ sameside(X0,sK0,sK2) )
| ~ spl4_174
| ~ spl4_250
| ~ spl4_456 ),
inference(forward_demodulation,[],[f9219,f3279]) ).
fof(f9219,plain,
( ! [X0] :
( ~ s_e(sK0,X0,s(sK3,sK0),s(sK3,sK1))
| s_e(X0,sK2,s(sK3,sK1),s(sK3,sK2))
| ~ sameside(X0,sK0,sK2) )
| ~ spl4_174
| ~ spl4_456 ),
inference(resolution,[],[f8806,f1813]) ).
fof(f8806,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sameside(X2,s(X3,X4),s(X3,X1))
| ~ s_e(X4,X0,s(X3,X4),X2)
| s_e(X0,X1,X2,s(X3,X1))
| ~ sameside(X0,X4,X1) )
| ~ spl4_456 ),
inference(avatar_component_clause,[],[f8805]) ).
fof(f15932,plain,
( spl4_617
| ~ spl4_65
| ~ spl4_463 ),
inference(avatar_split_clause,[],[f9328,f8833,f776,f15930]) ).
fof(f15930,plain,
( spl4_617
<=> ! [X0] :
( ~ s_e(X0,sK2,s(sK3,sK1),s(sK3,sK0))
| s_e(X0,sK1,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,sK2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_617])]) ).
fof(f8833,plain,
( spl4_463
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X0,X3,s(X2,X1),X4)
| ~ s_t(s(X2,X3),s(X2,X1),X4)
| ~ s_t(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_463])]) ).
fof(f9328,plain,
( ! [X0] :
( ~ s_e(X0,sK2,s(sK3,sK1),s(sK3,sK0))
| s_e(X0,sK1,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,sK2,sK1) )
| ~ spl4_65
| ~ spl4_463 ),
inference(resolution,[],[f8834,f778]) ).
fof(f8834,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(s(X2,X3),s(X2,X1),X4)
| ~ s_e(X0,X3,s(X2,X1),X4)
| s_e(X0,X1,s(X2,X3),X4)
| ~ s_t(X0,X3,X1) )
| ~ spl4_463 ),
inference(avatar_component_clause,[],[f8833]) ).
fof(f15926,plain,
( spl4_616
| ~ spl4_2
| ~ spl4_463 ),
inference(avatar_split_clause,[],[f9327,f8833,f417,f15924]) ).
fof(f15924,plain,
( spl4_616
<=> ! [X0] :
( ~ s_e(X0,sK0,s(sK3,sK1),s(sK3,sK2))
| s_e(X0,sK1,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_616])]) ).
fof(f9327,plain,
( ! [X0] :
( ~ s_e(X0,sK0,s(sK3,sK1),s(sK3,sK2))
| s_e(X0,sK1,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) )
| ~ spl4_2
| ~ spl4_463 ),
inference(resolution,[],[f8834,f419]) ).
fof(f15920,plain,
( spl4_615
| ~ spl4_65
| ~ spl4_460 ),
inference(avatar_split_clause,[],[f9292,f8821,f776,f15918]) ).
fof(f15918,plain,
( spl4_615
<=> ! [X0] :
( ~ s_e(X0,sK1,s(sK3,sK2),s(sK3,sK1))
| s_e(X0,sK0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,sK1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_615])]) ).
fof(f8821,plain,
( spl4_460
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X0,X4,X2,s(X3,X4))
| ~ s_t(X2,s(X3,X4),s(X3,X1))
| ~ s_t(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_460])]) ).
fof(f9292,plain,
( ! [X0] :
( ~ s_e(X0,sK1,s(sK3,sK2),s(sK3,sK1))
| s_e(X0,sK0,s(sK3,sK2),s(sK3,sK0))
| ~ s_t(X0,sK1,sK0) )
| ~ spl4_65
| ~ spl4_460 ),
inference(resolution,[],[f8822,f778]) ).
fof(f8822,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X2,s(X3,X4),s(X3,X1))
| ~ s_e(X0,X4,X2,s(X3,X4))
| s_e(X0,X1,X2,s(X3,X1))
| ~ s_t(X0,X4,X1) )
| ~ spl4_460 ),
inference(avatar_component_clause,[],[f8821]) ).
fof(f15915,plain,
( spl4_614
| ~ spl4_2
| ~ spl4_460 ),
inference(avatar_split_clause,[],[f9291,f8821,f417,f15913]) ).
fof(f15913,plain,
( spl4_614
<=> ! [X0] :
( ~ s_e(X0,sK1,s(sK3,sK0),s(sK3,sK1))
| s_e(X0,sK2,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_614])]) ).
fof(f9291,plain,
( ! [X0] :
( ~ s_e(X0,sK1,s(sK3,sK0),s(sK3,sK1))
| s_e(X0,sK2,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK1,sK2) )
| ~ spl4_2
| ~ spl4_460 ),
inference(resolution,[],[f8822,f419]) ).
fof(f15909,plain,
( spl4_613
| ~ spl4_65
| ~ spl4_458 ),
inference(avatar_split_clause,[],[f9252,f8813,f776,f15907]) ).
fof(f15907,plain,
( spl4_613
<=> ! [X0] :
( ~ s_e(X0,sK0,s(sK3,sK2),s(sK3,sK0))
| s_e(X0,sK1,s(sK3,sK2),s(sK3,sK1))
| ~ s_t(X0,sK1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_613])]) ).
fof(f8813,plain,
( spl4_458
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X0,X4,X2,s(X3,X4))
| ~ s_t(X2,s(X3,X1),s(X3,X4))
| ~ s_t(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_458])]) ).
fof(f9252,plain,
( ! [X0] :
( ~ s_e(X0,sK0,s(sK3,sK2),s(sK3,sK0))
| s_e(X0,sK1,s(sK3,sK2),s(sK3,sK1))
| ~ s_t(X0,sK1,sK0) )
| ~ spl4_65
| ~ spl4_458 ),
inference(resolution,[],[f8814,f778]) ).
fof(f8814,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X2,s(X3,X1),s(X3,X4))
| ~ s_e(X0,X4,X2,s(X3,X4))
| s_e(X0,X1,X2,s(X3,X1))
| ~ s_t(X0,X1,X4) )
| ~ spl4_458 ),
inference(avatar_component_clause,[],[f8813]) ).
fof(f15905,plain,
( spl4_612
| ~ spl4_29
| ~ spl4_586 ),
inference(avatar_split_clause,[],[f15887,f15060,f540,f15902]) ).
fof(f15887,plain,
( s_t(xb,sK3,sK0)
| ~ spl4_29
| ~ spl4_586 ),
inference(resolution,[],[f15062,f541]) ).
fof(f15899,plain,
( spl4_611
| ~ spl4_2
| ~ spl4_458 ),
inference(avatar_split_clause,[],[f9251,f8813,f417,f15897]) ).
fof(f15897,plain,
( spl4_611
<=> ! [X0] :
( ~ s_e(X0,sK2,s(sK3,sK0),s(sK3,sK2))
| s_e(X0,sK1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,sK1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_611])]) ).
fof(f9251,plain,
( ! [X0] :
( ~ s_e(X0,sK2,s(sK3,sK0),s(sK3,sK2))
| s_e(X0,sK1,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,sK1,sK2) )
| ~ spl4_2
| ~ spl4_458 ),
inference(resolution,[],[f8814,f419]) ).
fof(f15874,plain,
( spl4_610
| ~ spl4_174
| ~ spl4_250 ),
inference(avatar_split_clause,[],[f15737,f3277,f1811,f15871]) ).
fof(f15737,plain,
( sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_174
| ~ spl4_250 ),
inference(forward_demodulation,[],[f1813,f3279]) ).
fof(f15739,plain,
( spl4_172
| ~ spl4_250
| ~ spl4_273 ),
inference(avatar_split_clause,[],[f15598,f3534,f3277,f1800]) ).
fof(f15598,plain,
( s(sK3,sK0) = s(sK3,sK1)
| ~ spl4_250
| ~ spl4_273 ),
inference(forward_demodulation,[],[f3536,f3279]) ).
fof(f3536,plain,
( s(sK3,sK0) = s(sK3,sK2)
| ~ spl4_273 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f15687,plain,
( spl4_609
| ~ spl4_50
| ~ spl4_250
| ~ spl4_273
| ~ spl4_279 ),
inference(avatar_split_clause,[],[f15599,f3562,f3534,f3277,f673,f15684]) ).
fof(f15684,plain,
( spl4_609
<=> xb = s(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_609])]) ).
fof(f673,plain,
( spl4_50
<=> ! [X2,X0,X1] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f15599,plain,
( xb = s(sK3,sK1)
| ~ spl4_50
| ~ spl4_250
| ~ spl4_273
| ~ spl4_279 ),
inference(forward_demodulation,[],[f15598,f15066]) ).
fof(f15066,plain,
( xb = s(sK3,sK0)
| ~ spl4_50
| ~ spl4_279 ),
inference(resolution,[],[f3564,f674]) ).
fof(f674,plain,
( ! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s(X1,X0) = X2 )
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f3564,plain,
( s_m(sK0,sK3,xb)
| ~ spl4_279 ),
inference(avatar_component_clause,[],[f3562]) ).
fof(f15586,plain,
( spl4_608
| ~ spl4_174
| ~ spl4_456 ),
inference(avatar_split_clause,[],[f9219,f8805,f1811,f15584]) ).
fof(f15584,plain,
( spl4_608
<=> ! [X0] :
( ~ s_e(sK0,X0,s(sK3,sK0),s(sK3,sK1))
| s_e(X0,sK2,s(sK3,sK1),s(sK3,sK2))
| ~ sameside(X0,sK0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_608])]) ).
fof(f15580,plain,
( spl4_607
| ~ spl4_187
| ~ spl4_267 ),
inference(avatar_split_clause,[],[f3884,f3454,f2028,f15578]) ).
fof(f15578,plain,
( spl4_607
<=> ! [X0] :
( ~ s_t(sK0,sK1,s(sK3,X0))
| s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_607])]) ).
fof(f3884,plain,
( ! [X0] :
( ~ s_t(sK0,sK1,s(sK3,X0))
| s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),X0) )
| ~ spl4_187
| ~ spl4_267 ),
inference(resolution,[],[f3455,f2029]) ).
fof(f15576,plain,
( ~ spl4_606
| spl4_1
| ~ spl4_250 ),
inference(avatar_split_clause,[],[f15465,f3277,f412,f15573]) ).
fof(f15465,plain,
( ~ s_t(sK0,sK1,sK1)
| spl4_1
| ~ spl4_250 ),
inference(superposition,[],[f414,f3279]) ).
fof(f414,plain,
( ~ s_t(sK0,sK1,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f15569,plain,
( spl4_605
| ~ spl4_188
| ~ spl4_267 ),
inference(avatar_split_clause,[],[f3883,f3454,f2032,f15567]) ).
fof(f15567,plain,
( spl4_605
<=> ! [X0] :
( ~ s_t(sK0,sK1,s(sK3,X0))
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_605])]) ).
fof(f3883,plain,
( ! [X0] :
( ~ s_t(sK0,sK1,s(sK3,X0))
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),X0) )
| ~ spl4_188
| ~ spl4_267 ),
inference(resolution,[],[f3455,f2033]) ).
fof(f15564,plain,
( spl4_604
| ~ spl4_176
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3833,f3450,f1856,f15562]) ).
fof(f15562,plain,
( spl4_604
<=> ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK2)
| s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),X0,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_604])]) ).
fof(f3833,plain,
( ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK2)
| s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s_t(s(sK3,sK0),X0,s(sK3,sK1)) )
| ~ spl4_176
| ~ spl4_266 ),
inference(resolution,[],[f3451,f1857]) ).
fof(f15558,plain,
( spl4_603
| ~ spl4_186
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3785,f3446,f2023,f15556]) ).
fof(f15556,plain,
( spl4_603
<=> ! [X0] :
( ~ s_t(s(sK3,X0),sK1,sK2)
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_603])]) ).
fof(f3785,plain,
( ! [X0] :
( ~ s_t(s(sK3,X0),sK1,sK2)
| s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_186
| ~ spl4_265 ),
inference(resolution,[],[f3447,f2024]) ).
fof(f15554,plain,
( spl4_597
| spl4_158
| spl4_274
| ~ spl4_65
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1077,f1003,f776,f3541,f1632,f15457]) ).
fof(f3541,plain,
( spl4_274
<=> xb = s(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_274])]) ).
fof(f1077,plain,
( xb = s(sK3,sK2)
| s(sK3,sK1) = s(sK3,sK2)
| sameside(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| ~ spl4_65
| ~ spl4_97 ),
inference(resolution,[],[f1004,f778]) ).
fof(f15553,plain,
( spl4_158
| spl4_602
| ~ spl4_2
| ~ spl4_469 ),
inference(avatar_split_clause,[],[f9487,f9431,f417,f15551,f1632]) ).
fof(f15551,plain,
( spl4_602
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK1,sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_602])]) ).
fof(f9431,plain,
( spl4_469
<=> ! [X4,X0,X3,X2,X1] :
( s(X0,X1) = s(X0,X2)
| s_t(X3,s(X0,X1),s(X0,X4))
| ~ s_t(X3,s(X0,X1),s(X0,X2))
| ~ s_t(X1,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_469])]) ).
fof(f9487,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(sK1,sK2,X0) )
| ~ spl4_2
| ~ spl4_469 ),
inference(resolution,[],[f9432,f419]) ).
fof(f9432,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X3,s(X0,X1),s(X0,X2))
| s_t(X3,s(X0,X1),s(X0,X4))
| s(X0,X1) = s(X0,X2)
| ~ s_t(X1,X2,X4) )
| ~ spl4_469 ),
inference(avatar_component_clause,[],[f9431]) ).
fof(f15549,plain,
( spl4_158
| spl4_601
| ~ spl4_2
| ~ spl4_468 ),
inference(avatar_split_clause,[],[f9462,f9427,f417,f15547,f1632]) ).
fof(f15547,plain,
( spl4_601
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK1,sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_601])]) ).
fof(f9427,plain,
( spl4_468
<=> ! [X4,X0,X3,X2,X1] :
( s(X0,X1) = s(X0,X2)
| s_t(X3,s(X0,X2),s(X0,X4))
| ~ s_t(X3,s(X0,X1),s(X0,X2))
| ~ s_t(X1,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_468])]) ).
fof(f9462,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK2),s(sK3,X0))
| s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(sK1,sK2,X0) )
| ~ spl4_2
| ~ spl4_468 ),
inference(resolution,[],[f9428,f419]) ).
fof(f9428,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X3,s(X0,X1),s(X0,X2))
| s_t(X3,s(X0,X2),s(X0,X4))
| s(X0,X1) = s(X0,X2)
| ~ s_t(X1,X2,X4) )
| ~ spl4_468 ),
inference(avatar_component_clause,[],[f9427]) ).
fof(f15542,plain,
( ~ spl4_600
| ~ spl4_250
| spl4_598 ),
inference(avatar_split_clause,[],[f15537,f15529,f3277,f15539]) ).
fof(f15537,plain,
( ~ s_t(s(sK3,sK0),s(sK3,sK1),sK3)
| ~ spl4_250
| spl4_598 ),
inference(forward_demodulation,[],[f15530,f3279]) ).
fof(f15536,plain,
( spl4_598
| spl4_359
| ~ spl4_599
| ~ spl4_188
| ~ spl4_242 ),
inference(avatar_split_clause,[],[f3216,f2996,f2032,f15533,f5890,f15529]) ).
fof(f15533,plain,
( spl4_599
<=> s_t(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_599])]) ).
fof(f3216,plain,
( ~ s_t(sK0,sK1,sK3)
| s_t(s(sK3,sK0),sK3,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),sK3)
| ~ spl4_188
| ~ spl4_242 ),
inference(resolution,[],[f2997,f2033]) ).
fof(f15460,plain,
( spl4_597
| spl4_592
| ~ spl4_60
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f878,f806,f725,f15397,f15457]) ).
fof(f806,plain,
( spl4_68
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f878,plain,
( s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| sameside(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| ~ spl4_60
| ~ spl4_68 ),
inference(resolution,[],[f807,f727]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_t(X0,X1,X2)
| sameside(X0,X1,X2) )
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f15426,plain,
( spl4_596
| ~ spl4_199
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3786,f3446,f2196,f15424]) ).
fof(f15424,plain,
( spl4_596
<=> ! [X0] :
( ~ s_t(s(sK3,X0),sK1,sK2)
| s(sK3,sK1) = X0
| sameside(X0,s(sK3,sK1),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_596])]) ).
fof(f3786,plain,
( ! [X0] :
( ~ s_t(s(sK3,X0),sK1,sK2)
| s(sK3,sK1) = X0
| sameside(X0,s(sK3,sK1),s(sK3,sK0)) )
| ~ spl4_199
| ~ spl4_265 ),
inference(resolution,[],[f3447,f2197]) ).
fof(f15422,plain,
( spl4_593
| spl4_594
| ~ spl4_595
| ~ spl4_199
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3145,f2988,f2196,f15419,f15415,f15411]) ).
fof(f15411,plain,
( spl4_593
<=> sameside(sK3,s(sK3,sK1),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_593])]) ).
fof(f15415,plain,
( spl4_594
<=> sK3 = s(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_594])]) ).
fof(f3145,plain,
( ~ s_t(sK3,sK1,sK2)
| sK3 = s(sK3,sK1)
| sameside(sK3,s(sK3,sK1),s(sK3,sK0))
| ~ spl4_199
| ~ spl4_240 ),
inference(resolution,[],[f2989,f2197]) ).
fof(f15400,plain,
( ~ spl4_592
| spl4_158
| ~ spl4_63
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f908,f776,f768,f1632,f15397]) ).
fof(f908,plain,
( s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| ~ spl4_63
| ~ spl4_65 ),
inference(resolution,[],[f778,f769]) ).
fof(f15348,plain,
( spl4_174
| ~ spl4_37
| ~ spl4_271 ),
inference(avatar_split_clause,[],[f4234,f3470,f572,f1811]) ).
fof(f3470,plain,
( spl4_271
<=> sameside(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_271])]) ).
fof(f4234,plain,
( sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_37
| ~ spl4_271 ),
inference(resolution,[],[f3472,f573]) ).
fof(f3472,plain,
( sameside(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_271 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f15093,plain,
( spl4_591
| ~ spl4_183
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2230,f2036,f1928,f15091]) ).
fof(f15091,plain,
( spl4_591
<=> ! [X0,X1] : s_t(ext(s(sK3,sK1),s(sK3,sK0),X0,X1),s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_591])]) ).
fof(f2230,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK1),s(sK3,sK0),X0,X1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_183
| ~ spl4_189 ),
inference(resolution,[],[f1929,f2037]) ).
fof(f15089,plain,
( spl4_590
| ~ spl4_182
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2227,f2036,f1912,f15087]) ).
fof(f15087,plain,
( spl4_590
<=> ! [X0,X1] : s_t(ext(s(sK3,sK1),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_590])]) ).
fof(f2227,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK1),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2))
| ~ spl4_182
| ~ spl4_189 ),
inference(resolution,[],[f1913,f2037]) ).
fof(f15085,plain,
( spl4_589
| ~ spl4_120
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2091,f2036,f1169,f15083]) ).
fof(f15083,plain,
( spl4_589
<=> ! [X0,X1] : s_t(ext(s(sK3,sK2),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_589])]) ).
fof(f2091,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK2),s(sK3,sK0),X0,X1),s(sK3,sK1),s(sK3,sK2))
| ~ spl4_120
| ~ spl4_189 ),
inference(resolution,[],[f2037,f1170]) ).
fof(f15081,plain,
( spl4_588
| ~ spl4_50
| ~ spl4_279
| ~ spl4_587 ),
inference(avatar_split_clause,[],[f15077,f15074,f3562,f673,f15079]) ).
fof(f15079,plain,
( spl4_588
<=> ! [X0,X1] : s_t(ext(s(sK3,sK2),xb,X0,X1),xb,s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_588])]) ).
fof(f15074,plain,
( spl4_587
<=> ! [X0,X1] : s_t(ext(s(sK3,sK2),s(sK3,sK0),X0,X1),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_587])]) ).
fof(f15077,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK2),xb,X0,X1),xb,s(sK3,sK1))
| ~ spl4_50
| ~ spl4_279
| ~ spl4_587 ),
inference(forward_demodulation,[],[f15075,f15066]) ).
fof(f15075,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK2),s(sK3,sK0),X0,X1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_587 ),
inference(avatar_component_clause,[],[f15074]) ).
fof(f15076,plain,
( spl4_587
| ~ spl4_131
| ~ spl4_189 ),
inference(avatar_split_clause,[],[f2090,f2036,f1272,f15074]) ).
fof(f2090,plain,
( ! [X0,X1] : s_t(ext(s(sK3,sK2),s(sK3,sK0),X0,X1),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_131
| ~ spl4_189 ),
inference(resolution,[],[f2037,f1273]) ).
fof(f15063,plain,
( spl4_586
| ~ spl4_30
| ~ spl4_175 ),
inference(avatar_split_clause,[],[f3497,f1815,f544,f15060]) ).
fof(f1815,plain,
( spl4_175
<=> xb = s(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_175])]) ).
fof(f3497,plain,
( s_m(xb,sK3,sK0)
| ~ spl4_30
| ~ spl4_175 ),
inference(superposition,[],[f545,f1817]) ).
fof(f1817,plain,
( xb = s(sK3,sK0)
| ~ spl4_175 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f14892,plain,
( spl4_585
| ~ spl4_69
| ~ spl4_174 ),
inference(avatar_split_clause,[],[f1908,f1811,f810,f14890]) ).
fof(f14890,plain,
( spl4_585
<=> ! [X0] :
( sameside(X0,s(sK3,sK0),s(sK3,sK2))
| ~ sameside(X0,s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_585])]) ).
fof(f810,plain,
( spl4_69
<=> ! [X0,X3,X2,X1] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).
fof(f1908,plain,
( ! [X0] :
( sameside(X0,s(sK3,sK0),s(sK3,sK2))
| ~ sameside(X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_69
| ~ spl4_174 ),
inference(resolution,[],[f1813,f811]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] :
( ~ sameside(X2,X1,X3)
| sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) )
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f14888,plain,
( spl4_172
| ~ spl4_584
| ~ spl4_27
| ~ spl4_539 ),
inference(avatar_split_clause,[],[f14785,f11683,f525,f14885,f1800]) ).
fof(f11683,plain,
( spl4_539
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK0,sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_539])]) ).
fof(f14785,plain,
( ~ s_t(sK0,sK2,sK0)
| s(sK3,sK0) = s(sK3,sK1)
| ~ spl4_27
| ~ spl4_539 ),
inference(resolution,[],[f11684,f526]) ).
fof(f11684,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK0,sK2,X0) )
| ~ spl4_539 ),
inference(avatar_component_clause,[],[f11683]) ).
fof(f14883,plain,
( spl4_583
| ~ spl4_65
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f912,f831,f776,f14881]) ).
fof(f14881,plain,
( spl4_583
<=> ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_583])]) ).
fof(f912,plain,
( ! [X0] :
( s_t(s(sK3,sK2),X0,s(sK3,sK0))
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK1)) )
| ~ spl4_65
| ~ spl4_73 ),
inference(resolution,[],[f778,f832]) ).
fof(f14879,plain,
( spl4_582
| ~ spl4_65
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f911,f827,f776,f14877]) ).
fof(f14877,plain,
( spl4_582
<=> ! [X0] :
( s_t(X0,s(sK3,sK2),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_582])]) ).
fof(f911,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK2),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK0)) )
| ~ spl4_65
| ~ spl4_72 ),
inference(resolution,[],[f778,f828]) ).
fof(f14875,plain,
( spl4_581
| ~ spl4_65
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f910,f818,f776,f14873]) ).
fof(f14873,plain,
( spl4_581
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_581])]) ).
fof(f910,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(s(sK3,sK2),X0,s(sK3,sK1)) )
| ~ spl4_65
| ~ spl4_71 ),
inference(resolution,[],[f778,f819]) ).
fof(f14871,plain,
( spl4_580
| ~ spl4_65
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f909,f814,f776,f14869]) ).
fof(f14869,plain,
( spl4_580
<=> ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_580])]) ).
fof(f909,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK2),s(sK3,sK0)) )
| ~ spl4_65
| ~ spl4_70 ),
inference(resolution,[],[f778,f815]) ).
fof(f13872,plain,
( ~ spl4_579
| spl4_171
| ~ spl4_431 ),
inference(avatar_split_clause,[],[f13647,f8110,f1796,f13869]) ).
fof(f13869,plain,
( spl4_579
<=> s_t(sK1,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_579])]) ).
fof(f1796,plain,
( spl4_171
<=> s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_171])]) ).
fof(f8110,plain,
( spl4_431
<=> ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_431])]) ).
fof(f13647,plain,
( ~ s_t(sK1,sK0,sK1)
| spl4_171
| ~ spl4_431 ),
inference(resolution,[],[f8111,f1798]) ).
fof(f1798,plain,
( ~ s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| spl4_171 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f8111,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) )
| ~ spl4_431 ),
inference(avatar_component_clause,[],[f8110]) ).
fof(f13488,plain,
( spl4_578
| ~ spl4_132
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1479,f1455,f1276,f13486]) ).
fof(f13486,plain,
( spl4_578
<=> ! [X4,X0,X3,X2,X1] :
( sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X2)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1)
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X2
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X0
| ~ le(X3,X4,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_578])]) ).
fof(f1479,plain,
( ! [X2,X3,X0,X1,X4] :
( sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X2)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1)
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X2
| ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X0
| ~ le(X3,X4,X2,X1) )
| ~ spl4_132
| ~ spl4_144 ),
inference(resolution,[],[f1456,f1277]) ).
fof(f13351,plain,
( spl4_577
| ~ spl4_144
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1595,f1516,f1455,f13349]) ).
fof(f13349,plain,
( spl4_577
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| sameside(X6,crossbar(X0,X5,X4,X2,X3,X1),X5)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| crossbar(X0,X5,X4,X2,X3,X1) = X3
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| crossbar(X0,X5,X4,X2,X3,X1) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_577])]) ).
fof(f1595,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| sameside(X6,crossbar(X0,X5,X4,X2,X3,X1),X5)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| crossbar(X0,X5,X4,X2,X3,X1) = X3
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| crossbar(X0,X5,X4,X2,X3,X1) = X6 )
| ~ spl4_144
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1456]) ).
fof(f13347,plain,
( spl4_576
| ~ spl4_144
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1576,f1512,f1455,f13345]) ).
fof(f13345,plain,
( spl4_576
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| sameside(X6,crossbar(X0,X5,X4,X2,X3,X1),X1)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X4
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| crossbar(X0,X5,X4,X2,X3,X1) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_576])]) ).
fof(f1576,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| sameside(X6,crossbar(X0,X5,X4,X2,X3,X1),X1)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X4
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| crossbar(X0,X5,X4,X2,X3,X1) = X6 )
| ~ spl4_144
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1456]) ).
fof(f13281,plain,
( spl4_575
| ~ spl4_132
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1407,f1379,f1276,f13279]) ).
fof(f13279,plain,
( spl4_575
<=> ! [X4,X0,X3,X2,X1] :
( s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4,X0)
| s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X4)
| ~ s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4)
| ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1
| ~ le(X2,X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_575])]) ).
fof(f1407,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4,X0)
| s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X4)
| ~ s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4)
| ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1
| ~ le(X2,X3,X1,X0) )
| ~ spl4_132
| ~ spl4_139 ),
inference(resolution,[],[f1380,f1277]) ).
fof(f13161,plain,
( spl4_574
| ~ spl4_139
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1593,f1516,f1379,f13159]) ).
fof(f13159,plain,
( spl4_574
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X6,X3)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X3,X6)
| ~ s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_574])]) ).
fof(f1593,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X6,X3)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X3,X6)
| ~ s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X5 )
| ~ spl4_139
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1380]) ).
fof(f13157,plain,
( spl4_573
| ~ spl4_139
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1574,f1512,f1379,f13155]) ).
fof(f13155,plain,
( spl4_573
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X6,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X4,X6)
| ~ s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_573])]) ).
fof(f1574,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X6,X4)
| s_t(crossbar(X0,X5,X4,X2,X3,X1),X4,X6)
| ~ s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X1 )
| ~ spl4_139
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1380]) ).
fof(f13063,plain,
( spl4_572
| ~ spl4_128
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1481,f1455,f1260,f13061]) ).
fof(f13061,plain,
( spl4_572
<=> ! [X3,X4,X0,X5,X2,X1] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ip(X1,X2,X3,X4,X5) = X4
| ip(X1,X2,X3,X4,X5) = X2
| ip(X1,X2,X3,X4,X5) = X0
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_572])]) ).
fof(f1481,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ip(X1,X2,X3,X4,X5) = X4
| ip(X1,X2,X3,X4,X5) = X2
| ip(X1,X2,X3,X4,X5) = X0
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3) )
| ~ spl4_128
| ~ spl4_144 ),
inference(resolution,[],[f1456,f1261]) ).
fof(f13059,plain,
( spl4_571
| ~ spl4_129
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1480,f1455,f1264,f13057]) ).
fof(f13057,plain,
( spl4_571
<=> ! [X3,X4,X0,X5,X2,X1] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ip(X1,X2,X3,X4,X5) = X1
| ip(X1,X2,X3,X4,X5) = X5
| ip(X1,X2,X3,X4,X5) = X0
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_571])]) ).
fof(f1480,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ip(X1,X2,X3,X4,X5) = X1
| ip(X1,X2,X3,X4,X5) = X5
| ip(X1,X2,X3,X4,X5) = X0
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3) )
| ~ spl4_129
| ~ spl4_144 ),
inference(resolution,[],[f1456,f1265]) ).
fof(f13049,plain,
( spl4_570
| ~ spl4_99
| ~ spl4_166 ),
inference(avatar_split_clause,[],[f1728,f1720,f1011,f13047]) ).
fof(f13047,plain,
( spl4_570
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_m(ins(X0,X1,X0,X2),X3,X1)
| ~ s_m(X4,X5,X6)
| s_kf(X4,X5,X6,X0,X1,X3,ins(X0,X1,X0,X2))
| ~ s_e(X0,X4,X0,X6)
| ~ s_t(X6,X0,X1)
| ~ s_t(X4,X0,ins(X0,X1,X0,X2))
| ~ le(X0,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_570])]) ).
fof(f1720,plain,
( spl4_166
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_166])]) ).
fof(f1728,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_m(ins(X0,X1,X0,X2),X3,X1)
| ~ s_m(X4,X5,X6)
| s_kf(X4,X5,X6,X0,X1,X3,ins(X0,X1,X0,X2))
| ~ s_e(X0,X4,X0,X6)
| ~ s_t(X6,X0,X1)
| ~ s_t(X4,X0,ins(X0,X1,X0,X2))
| ~ le(X0,X2,X0,X1) )
| ~ spl4_99
| ~ spl4_166 ),
inference(resolution,[],[f1721,f1012]) ).
fof(f1721,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_e(X3,X6,X3,X4)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) )
| ~ spl4_166 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f13027,plain,
( spl4_569
| ~ spl4_99
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1739,f1730,f1011,f13025]) ).
fof(f13025,plain,
( spl4_569
<=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,ins(X3,X6,X1,X7),X4,X6)
| ~ s_e(X0,ins(X3,X6,X1,X7),X2,X6)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3)
| ~ le(X1,X7,X3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_569])]) ).
fof(f1730,plain,
( spl4_167
<=> ! [X5,X3,X4,X2,X7,X0,X6,X1] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_167])]) ).
fof(f1739,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,ins(X3,X6,X1,X7),X4,X6)
| ~ s_e(X0,ins(X3,X6,X1,X7),X2,X6)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3)
| ~ le(X1,X7,X3,X6) )
| ~ spl4_99
| ~ spl4_167 ),
inference(resolution,[],[f1731,f1012]) ).
fof(f1731,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_e(X1,X6,X3,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| s_e(X4,X6,X5,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_167 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f12907,plain,
( spl4_568
| ~ spl4_128
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1409,f1379,f1260,f12905]) ).
fof(f12905,plain,
( spl4_568
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,X5)
| ~ s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ip(X0,X1,X2,X3,X4) = X1
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_568])]) ).
fof(f1409,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,X5)
| ~ s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ip(X0,X1,X2,X3,X4) = X1
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_128
| ~ spl4_139 ),
inference(resolution,[],[f1380,f1261]) ).
fof(f12903,plain,
( spl4_567
| ~ spl4_129
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1408,f1379,f1264,f12901]) ).
fof(f12901,plain,
( spl4_567
<=> ! [X2,X4,X0,X5,X3,X1] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ~ s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ip(X0,X1,X2,X3,X4) = X4
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_567])]) ).
fof(f1408,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ~ s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ip(X0,X1,X2,X3,X4) = X4
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_129
| ~ spl4_139 ),
inference(resolution,[],[f1380,f1265]) ).
fof(f12899,plain,
( spl4_566
| ~ spl4_290
| ~ spl4_411 ),
inference(avatar_split_clause,[],[f11980,f7306,f4213,f12897]) ).
fof(f12897,plain,
( spl4_566
<=> ! [X0] :
( ~ s_t(sK0,X0,sK1)
| le(X0,sK1,s(sK3,X0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_566])]) ).
fof(f7306,plain,
( spl4_411
<=> ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(sK0,X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_411])]) ).
fof(f11980,plain,
( ! [X0] :
( ~ s_t(sK0,X0,sK1)
| le(X0,sK1,s(sK3,X0),s(sK3,sK2)) )
| ~ spl4_290
| ~ spl4_411 ),
inference(resolution,[],[f7307,f4214]) ).
fof(f7307,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(sK0,X0,sK1) )
| ~ spl4_411 ),
inference(avatar_component_clause,[],[f7306]) ).
fof(f12816,plain,
( spl4_565
| ~ spl4_48
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1737,f1730,f665,f12814]) ).
fof(f12814,plain,
( spl4_565
<=> ! [X2,X6,X4,X0,X3,X5,X1] :
( X0 = X1
| ~ s_t(X2,s(X3,X1),X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,X6,X4,s(X3,X6))
| ~ s_e(X0,X6,X2,s(X3,X6))
| ~ s_e(X1,X5,s(X3,X1),X4)
| ~ s_e(X0,X1,X2,s(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_565])]) ).
fof(f1737,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ s_t(X2,s(X3,X1),X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,X6,X4,s(X3,X6))
| ~ s_e(X0,X6,X2,s(X3,X6))
| ~ s_e(X1,X5,s(X3,X1),X4)
| ~ s_e(X0,X1,X2,s(X3,X1)) )
| ~ spl4_48
| ~ spl4_167 ),
inference(resolution,[],[f1731,f666]) ).
fof(f12812,plain,
( spl4_564
| ~ spl4_51
| ~ spl4_166 ),
inference(avatar_split_clause,[],[f1727,f1720,f677,f12810]) ).
fof(f12810,plain,
( spl4_564
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_m(ext(X0,X1,X1,X2),X3,X2)
| ~ s_m(X4,X5,X6)
| s_kf(X4,X5,X6,X1,X2,X3,ext(X0,X1,X1,X2))
| ~ s_e(X1,X4,X1,X6)
| ~ s_t(X6,X1,X2)
| ~ s_t(X4,X1,ext(X0,X1,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_564])]) ).
fof(f1727,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_m(ext(X0,X1,X1,X2),X3,X2)
| ~ s_m(X4,X5,X6)
| s_kf(X4,X5,X6,X1,X2,X3,ext(X0,X1,X1,X2))
| ~ s_e(X1,X4,X1,X6)
| ~ s_t(X6,X1,X2)
| ~ s_t(X4,X1,ext(X0,X1,X1,X2)) )
| ~ spl4_51
| ~ spl4_166 ),
inference(resolution,[],[f1721,f678]) ).
fof(f12808,plain,
( spl4_563
| ~ spl4_114
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1589,f1516,f1145,f12806]) ).
fof(f12806,plain,
( spl4_563
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_563])]) ).
fof(f1589,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_114
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1146]) ).
fof(f12804,plain,
( spl4_562
| ~ spl4_114
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1570,f1512,f1145,f12802]) ).
fof(f12802,plain,
( spl4_562
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_562])]) ).
fof(f1570,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_114
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1146]) ).
fof(f12769,plain,
( spl4_561
| ~ spl4_114
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1327,f1276,f1145,f12767]) ).
fof(f12767,plain,
( spl4_561
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_561])]) ).
fof(f1327,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_114
| ~ spl4_132 ),
inference(resolution,[],[f1277,f1146]) ).
fof(f12529,plain,
( spl4_560
| ~ spl4_51
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1738,f1730,f677,f12527]) ).
fof(f12527,plain,
( spl4_560
<=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,ext(X6,X1,X3,X7),X4,X7)
| ~ s_e(X0,ext(X6,X1,X3,X7),X2,X7)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_560])]) ).
fof(f1738,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,ext(X6,X1,X3,X7),X4,X7)
| ~ s_e(X0,ext(X6,X1,X3,X7),X2,X7)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_51
| ~ spl4_167 ),
inference(resolution,[],[f1731,f678]) ).
fof(f12525,plain,
( spl4_559
| ~ spl4_140
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1594,f1516,f1383,f12523]) ).
fof(f12523,plain,
( spl4_559
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| s_t(X5,X3,X6)
| ~ s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_559])]) ).
fof(f1594,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| s_t(X5,X3,X6)
| ~ s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X5 )
| ~ spl4_140
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1384]) ).
fof(f12521,plain,
( spl4_558
| ~ spl4_138
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1592,f1516,f1375,f12519]) ).
fof(f12519,plain,
( spl4_558
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| s_t(X6,X5,X3)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| crossbar(X0,X5,X4,X2,X3,X1) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_558])]) ).
fof(f1592,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| s_t(X6,X5,X3)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| crossbar(X0,X5,X4,X2,X3,X1) = X3 )
| ~ spl4_138
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1376]) ).
fof(f12517,plain,
( spl4_557
| ~ spl4_140
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1575,f1512,f1383,f12515]) ).
fof(f12515,plain,
( spl4_557
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| s_t(X1,X4,X6)
| ~ s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_557])]) ).
fof(f1575,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| s_t(X1,X4,X6)
| ~ s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| crossbar(X0,X5,X4,X2,X3,X1) = X1 )
| ~ spl4_140
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1384]) ).
fof(f12513,plain,
( spl4_158
| ~ spl4_556
| ~ spl4_27
| ~ spl4_411 ),
inference(avatar_split_clause,[],[f11998,f7306,f525,f12510,f1632]) ).
fof(f12510,plain,
( spl4_556
<=> s_t(sK0,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_556])]) ).
fof(f11998,plain,
( ~ s_t(sK0,sK2,sK1)
| s(sK3,sK1) = s(sK3,sK2)
| ~ spl4_27
| ~ spl4_411 ),
inference(resolution,[],[f7307,f526]) ).
fof(f12508,plain,
( spl4_555
| ~ spl4_138
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1573,f1512,f1375,f12506]) ).
fof(f12506,plain,
( spl4_555
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| s_t(X6,X1,X4)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_555])]) ).
fof(f1573,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| s_t(X6,X1,X4)
| ~ s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X4 )
| ~ spl4_138
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1376]) ).
fof(f12504,plain,
( spl4_554
| ~ spl4_100
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1476,f1455,f1015,f12502]) ).
fof(f1476,plain,
( ! [X2,X3,X0,X1,X4] :
( sameside(X0,s(X1,X2),s(X1,X3))
| ~ s_t(X0,s(X1,X2),s(X1,X4))
| s(X1,X2) = s(X1,X4)
| s(X1,X2) = s(X1,X3)
| s(X1,X2) = X0
| ~ s_t(X3,X2,X4) )
| ~ spl4_100
| ~ spl4_144 ),
inference(resolution,[],[f1456,f1016]) ).
fof(f12037,plain,
( spl4_553
| ~ spl4_125
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1591,f1516,f1231,f12035]) ).
fof(f1591,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1))
| s_t(X5,crossbar(X0,X5,X4,X2,X3,X1),X6)
| ~ s_t(X5,X6,X3) )
| ~ spl4_125
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1232]) ).
fof(f12033,plain,
( spl4_552
| ~ spl4_125
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1572,f1512,f1231,f12031]) ).
fof(f1572,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1))
| s_t(X1,crossbar(X0,X5,X4,X2,X3,X1),X6)
| ~ s_t(X1,X6,X4) )
| ~ spl4_125
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1232]) ).
fof(f11972,plain,
( spl4_551
| ~ spl4_136
| ~ spl4_145 ),
inference(avatar_split_clause,[],[f1488,f1459,f1343,f11970]) ).
fof(f11970,plain,
( spl4_551
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X1,X2)
| X1 = X2
| X0 = X1
| ext(ext(X0,X1,alpha,gamma),X1,X3,X4) = X1
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_551])]) ).
fof(f1343,plain,
( spl4_136
<=> ! [X0,X3,X2,X1] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| X2 = X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_136])]) ).
fof(f1488,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X1,X2)
| X1 = X2
| X0 = X1
| ext(ext(X0,X1,alpha,gamma),X1,X3,X4) = X1
| X3 = X4 )
| ~ spl4_136
| ~ spl4_145 ),
inference(duplicate_literal_removal,[],[f1487]) ).
fof(f1487,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X1,X2)
| X1 = X2
| X0 = X1
| ext(ext(X0,X1,alpha,gamma),X1,X3,X4) = X1
| X3 = X4
| X0 = X1 )
| ~ spl4_136
| ~ spl4_145 ),
inference(resolution,[],[f1460,f1344]) ).
fof(f1344,plain,
( ! [X2,X3,X0,X1] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| X2 = X3
| X0 = X1 )
| ~ spl4_136 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f11968,plain,
( spl4_550
| ~ spl4_132
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1421,f1383,f1276,f11966]) ).
fof(f11966,plain,
( spl4_550
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X3,X4),X1)
| ext(ext(X2,X0,alpha,gamma),X0,X3,X4) = X0
| ~ le(X3,X4,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_550])]) ).
fof(f1421,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X3,X4),X1)
| ext(ext(X2,X0,alpha,gamma),X0,X3,X4) = X0
| ~ le(X3,X4,X0,X2) )
| ~ spl4_132
| ~ spl4_140 ),
inference(resolution,[],[f1384,f1277]) ).
fof(f11964,plain,
( spl4_549
| ~ spl4_86
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1399,f1375,f934,f11962]) ).
fof(f11962,plain,
( spl4_549
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X4))
| s_t(X1,X0,ins(X2,X3,X0,X4))
| ~ s_t(X1,X4,ins(X2,X3,X0,X4))
| ins(X2,X3,X0,X4) = X4
| ~ le(X0,X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_549])]) ).
fof(f1399,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ins(X2,X3,X0,X4))
| s_t(X1,X0,ins(X2,X3,X0,X4))
| ~ s_t(X1,X4,ins(X2,X3,X0,X4))
| ins(X2,X3,X0,X4) = X4
| ~ le(X0,X4,X2,X3) )
| ~ spl4_86
| ~ spl4_138 ),
inference(resolution,[],[f1376,f935]) ).
fof(f11960,plain,
( spl4_548
| ~ spl4_132
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1395,f1375,f1276,f11958]) ).
fof(f11958,plain,
( spl4_548
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ext(ext(X2,X0,alpha,gamma),X0,X3,X4),X2)
| ext(ext(X2,X0,alpha,gamma),X0,X3,X4) = X2
| ~ le(X3,X4,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_548])]) ).
fof(f1395,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ext(ext(X2,X0,alpha,gamma),X0,X3,X4),X2)
| ext(ext(X2,X0,alpha,gamma),X0,X3,X4) = X2
| ~ le(X3,X4,X0,X2) )
| ~ spl4_132
| ~ spl4_138 ),
inference(resolution,[],[f1376,f1277]) ).
fof(f11763,plain,
( spl4_547
| ~ spl4_65
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f6488,f6365,f776,f11761]) ).
fof(f11761,plain,
( spl4_547
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK2,sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_547])]) ).
fof(f6488,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK2,sK0,X0) )
| ~ spl4_65
| ~ spl4_377 ),
inference(resolution,[],[f6366,f778]) ).
fof(f11738,plain,
( spl4_546
| ~ spl4_49
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1736,f1730,f669,f11736]) ).
fof(f11736,plain,
( spl4_546
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( X0 = X1
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X4)
| s_e(X4,X5,X3,X6)
| ~ s_e(X0,X5,X2,X6)
| ~ s_e(X1,X4,X1,X3)
| ~ s_e(X0,X1,X2,X1)
| ~ s_m(X5,X1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_546])]) ).
fof(f1736,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X4)
| s_e(X4,X5,X3,X6)
| ~ s_e(X0,X5,X2,X6)
| ~ s_e(X1,X4,X1,X3)
| ~ s_e(X0,X1,X2,X1)
| ~ s_m(X5,X1,X6) )
| ~ spl4_49
| ~ spl4_167 ),
inference(resolution,[],[f1731,f670]) ).
fof(f11734,plain,
( spl4_545
| ~ spl4_99
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1697,f1688,f1011,f11732]) ).
fof(f11732,plain,
( spl4_545
<=> ! [X5,X4,X0,X3,X2,X1] :
( ins(X1,X2,X3,X4) = X0
| ~ sameside(ins(X1,X2,X3,X4),X3,X5)
| ~ s_e(X3,X0,X1,X2)
| ~ sameside(X0,X3,X5)
| X1 = X2
| X3 = X5
| ~ le(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_545])]) ).
fof(f1688,plain,
( spl4_163
<=> ! [X3,X4,X0,X5,X2,X1] :
( X4 = X5
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_163])]) ).
fof(f1697,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ins(X1,X2,X3,X4) = X0
| ~ sameside(ins(X1,X2,X3,X4),X3,X5)
| ~ s_e(X3,X0,X1,X2)
| ~ sameside(X0,X3,X5)
| X1 = X2
| X3 = X5
| ~ le(X3,X4,X1,X2) )
| ~ spl4_99
| ~ spl4_163 ),
inference(resolution,[],[f1689,f1012]) ).
fof(f1689,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X5,X2,X3)
| X4 = X5
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 )
| ~ spl4_163 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f11730,plain,
( spl4_544
| ~ spl4_115
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1590,f1516,f1149,f11728]) ).
fof(f11728,plain,
( spl4_544
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| s_t(X6,X5,X3)
| ~ s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_544])]) ).
fof(f1590,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| s_t(X6,X5,X3)
| ~ s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_115
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1150]) ).
fof(f11726,plain,
( spl4_543
| ~ spl4_115
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1571,f1512,f1149,f11724]) ).
fof(f11724,plain,
( spl4_543
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| s_t(X6,X1,X4)
| ~ s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_543])]) ).
fof(f1571,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| s_t(X6,X1,X4)
| ~ s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_115
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1150]) ).
fof(f11722,plain,
( spl4_542
| ~ spl4_100
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1418,f1383,f1015,f11720]) ).
fof(f1418,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X1),s(X0,X4),X2)
| s(X0,X1) = s(X0,X4)
| ~ s_t(X1,X4,X3) )
| ~ spl4_100
| ~ spl4_140 ),
inference(resolution,[],[f1384,f1016]) ).
fof(f11718,plain,
( spl4_541
| ~ spl4_100
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1404,f1379,f1015,f11716]) ).
fof(f1404,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X4),s(X0,X1),X2)
| s(X0,X1) = s(X0,X4)
| ~ s_t(X4,X1,X3) )
| ~ spl4_100
| ~ spl4_139 ),
inference(resolution,[],[f1380,f1016]) ).
fof(f11714,plain,
( spl4_540
| ~ spl4_100
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1392,f1375,f1015,f11712]) ).
fof(f11712,plain,
( spl4_540
<=> ! [X4,X0,X3,X2,X1] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(X2,s(X0,X1),s(X0,X3))
| ~ s_t(X2,s(X0,X4),s(X0,X3))
| s(X0,X3) = s(X0,X4)
| ~ s_t(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_540])]) ).
fof(f1392,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(X2,s(X0,X1),s(X0,X3))
| ~ s_t(X2,s(X0,X4),s(X0,X3))
| s(X0,X3) = s(X0,X4)
| ~ s_t(X1,X4,X3) )
| ~ spl4_100
| ~ spl4_138 ),
inference(resolution,[],[f1376,f1016]) ).
fof(f11685,plain,
( spl4_539
| ~ spl4_2
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f6487,f6365,f417,f11683]) ).
fof(f6487,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK0,sK2,X0) )
| ~ spl4_2
| ~ spl4_377 ),
inference(resolution,[],[f6366,f419]) ).
fof(f11610,plain,
( spl4_538
| ~ spl4_98
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1588,f1516,f1007,f11608]) ).
fof(f11608,plain,
( spl4_538
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| X3 = X5
| sameside(X3,X5,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_538])]) ).
fof(f1588,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| X3 = X5
| sameside(X3,X5,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_98
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1008]) ).
fof(f11606,plain,
( spl4_537
| ~ spl4_97
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1587,f1516,f1003,f11604]) ).
fof(f11604,plain,
( spl4_537
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| xb = X5
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| sameside(crossbar(X0,X5,X4,X2,X3,X1),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_537])]) ).
fof(f1587,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| xb = X5
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| sameside(crossbar(X0,X5,X4,X2,X3,X1),X5,X3) )
| ~ spl4_97
| ~ spl4_152 ),
inference(resolution,[],[f1517,f1004]) ).
fof(f11602,plain,
( spl4_536
| ~ spl4_98
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1569,f1512,f1007,f11600]) ).
fof(f11600,plain,
( spl4_536
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| X1 = X4
| sameside(X4,X1,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_536])]) ).
fof(f1569,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| X1 = X4
| sameside(X4,X1,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_98
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1008]) ).
fof(f11598,plain,
( spl4_535
| ~ spl4_97
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1568,f1512,f1003,f11596]) ).
fof(f11596,plain,
( spl4_535
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| xb = X1
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| sameside(crossbar(X0,X5,X4,X2,X3,X1),X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_535])]) ).
fof(f1568,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| xb = X1
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| sameside(crossbar(X0,X5,X4,X2,X3,X1),X1,X4) )
| ~ spl4_97
| ~ spl4_151 ),
inference(resolution,[],[f1513,f1004]) ).
fof(f11594,plain,
( spl4_534
| ~ spl4_114
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1312,f1264,f1145,f11592]) ).
fof(f11592,plain,
( spl4_534
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X5,X1,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_534])]) ).
fof(f1312,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X5,X1,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_114
| ~ spl4_129 ),
inference(resolution,[],[f1265,f1146]) ).
fof(f11590,plain,
( spl4_533
| ~ spl4_114
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1297,f1260,f1145,f11588]) ).
fof(f11588,plain,
( spl4_533
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X5,X4,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_533])]) ).
fof(f1297,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X5,X4,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_114
| ~ spl4_128 ),
inference(resolution,[],[f1261,f1146]) ).
fof(f11586,plain,
( spl4_532
| ~ spl4_65
| ~ spl4_375 ),
inference(avatar_split_clause,[],[f6475,f6356,f776,f11584]) ).
fof(f11584,plain,
( spl4_532
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_532])]) ).
fof(f6475,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK1,X0,sK0) )
| ~ spl4_65
| ~ spl4_375 ),
inference(resolution,[],[f6357,f778]) ).
fof(f11204,plain,
( spl4_531
| ~ spl4_113
| ~ spl4_169 ),
inference(avatar_split_clause,[],[f1761,f1746,f1073,f11202]) ).
fof(f11202,plain,
( spl4_531
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X6,X0,X7,X2)
| ~ s_e(X4,X0,X5,X2)
| ~ s_t(X5,X7,X2)
| ~ s_t(X4,X6,X0)
| s_e(X6,X1,X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_531])]) ).
fof(f1073,plain,
( spl4_113
<=> ! [X2,X3,X4,X7,X0,X6,X5,X1] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_113])]) ).
fof(f1746,plain,
( spl4_169
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_169])]) ).
fof(f1761,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X6,X0,X7,X2)
| ~ s_e(X4,X0,X5,X2)
| ~ s_t(X5,X7,X2)
| ~ s_t(X4,X6,X0)
| s_e(X6,X1,X7,X3) )
| ~ spl4_113
| ~ spl4_169 ),
inference(resolution,[],[f1747,f1074]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| s_e(X1,X3,X5,X7) )
| ~ spl4_113 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1747,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) )
| ~ spl4_169 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f11200,plain,
( spl4_530
| ~ spl4_49
| ~ spl4_166 ),
inference(avatar_split_clause,[],[f1726,f1720,f669,f11198]) ).
fof(f11198,plain,
( spl4_530
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ s_m(X0,X1,X2)
| ~ s_m(X3,X4,X5)
| s_kf(X3,X4,X5,X6,X2,X1,X0)
| ~ s_e(X6,X3,X6,X5)
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X6,X0)
| ~ s_m(X0,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_530])]) ).
fof(f1726,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_m(X0,X1,X2)
| ~ s_m(X3,X4,X5)
| s_kf(X3,X4,X5,X6,X2,X1,X0)
| ~ s_e(X6,X3,X6,X5)
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X6,X0)
| ~ s_m(X0,X6,X2) )
| ~ spl4_49
| ~ spl4_166 ),
inference(resolution,[],[f1721,f670]) ).
fof(f11196,plain,
( spl4_529
| ~ spl4_128
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1423,f1383,f1260,f11194]) ).
fof(f11194,plain,
( spl4_529
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ip(X3,X0,X4,X2,X5),X1)
| ip(X3,X0,X4,X2,X5) = X0
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_529])]) ).
fof(f1423,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ip(X3,X0,X4,X2,X5),X1)
| ip(X3,X0,X4,X2,X5) = X0
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,X0,X4) )
| ~ spl4_128
| ~ spl4_140 ),
inference(resolution,[],[f1384,f1261]) ).
fof(f11192,plain,
( spl4_528
| ~ spl4_2
| ~ spl4_375 ),
inference(avatar_split_clause,[],[f6474,f6356,f417,f11190]) ).
fof(f11190,plain,
( spl4_528
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK1,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_528])]) ).
fof(f6474,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,X0))
| ~ s_t(sK1,X0,sK2) )
| ~ spl4_2
| ~ spl4_375 ),
inference(resolution,[],[f6357,f419]) ).
fof(f11188,plain,
( spl4_527
| ~ spl4_129
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1422,f1383,f1264,f11186]) ).
fof(f11186,plain,
( spl4_527
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ip(X2,X3,X4,X5,X0),X1)
| ip(X2,X3,X4,X5,X0) = X0
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_527])]) ).
fof(f1422,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,ip(X2,X3,X4,X5,X0),X1)
| ip(X2,X3,X4,X5,X0) = X0
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4) )
| ~ spl4_129
| ~ spl4_140 ),
inference(resolution,[],[f1384,f1265]) ).
fof(f11184,plain,
( spl4_526
| ~ spl4_128
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1397,f1375,f1260,f11182]) ).
fof(f11182,plain,
( spl4_526
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ip(X3,X0,X4,X2,X5),X2)
| ip(X3,X0,X4,X2,X5) = X2
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_526])]) ).
fof(f1397,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ip(X3,X0,X4,X2,X5),X2)
| ip(X3,X0,X4,X2,X5) = X2
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,X0,X4) )
| ~ spl4_128
| ~ spl4_138 ),
inference(resolution,[],[f1376,f1261]) ).
fof(f11180,plain,
( spl4_525
| ~ spl4_129
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1396,f1375,f1264,f11178]) ).
fof(f11178,plain,
( spl4_525
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ip(X2,X3,X4,X5,X0),X2)
| ip(X2,X3,X4,X5,X0) = X2
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_525])]) ).
fof(f1396,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_t(X0,X1,X2)
| s_t(X1,X0,X2)
| ~ s_t(X1,ip(X2,X3,X4,X5,X0),X2)
| ip(X2,X3,X4,X5,X0) = X2
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4) )
| ~ spl4_129
| ~ spl4_138 ),
inference(resolution,[],[f1376,f1265]) ).
fof(f11176,plain,
( spl4_524
| ~ spl4_125
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1329,f1276,f1231,f11174]) ).
fof(f1329,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X4)
| ~ s_t(X2,X4,X3) )
| ~ spl4_125
| ~ spl4_132 ),
inference(resolution,[],[f1277,f1232]) ).
fof(f11065,plain,
( spl4_523
| ~ spl4_71
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1584,f1516,f818,f11063]) ).
fof(f11063,plain,
( spl4_523
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_523])]) ).
fof(f1584,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_71
| ~ spl4_152 ),
inference(resolution,[],[f1517,f819]) ).
fof(f11061,plain,
( spl4_522
| ~ spl4_71
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1565,f1512,f818,f11059]) ).
fof(f11059,plain,
( spl4_522
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_522])]) ).
fof(f1565,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_71
| ~ spl4_151 ),
inference(resolution,[],[f1513,f819]) ).
fof(f11057,plain,
( spl4_521
| ~ spl4_65
| ~ spl4_374 ),
inference(avatar_split_clause,[],[f6438,f6352,f776,f11055]) ).
fof(f11055,plain,
( spl4_521
<=> ! [X0] :
( s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,X0))
| ~ s_t(sK2,sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_521])]) ).
fof(f6438,plain,
( ! [X0] :
( s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,X0))
| ~ s_t(sK2,sK0,X0) )
| ~ spl4_65
| ~ spl4_374 ),
inference(resolution,[],[f6353,f778]) ).
fof(f11053,plain,
( spl4_520
| ~ spl4_99
| ~ spl4_142 ),
inference(avatar_split_clause,[],[f1448,f1436,f1011,f11051]) ).
fof(f11051,plain,
( spl4_520
<=> ! [X0,X3,X2,X1] :
( ins(X0,X1,X0,X2) = X1
| ~ s_e(X3,ins(X0,X1,X0,X2),X3,X1)
| ~ s_col(X3,X0,ins(X0,X1,X0,X2))
| X0 = X3
| ~ le(X0,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_520])]) ).
fof(f1436,plain,
( spl4_142
<=> ! [X0,X3,X2,X1] :
( X2 = X3
| ~ s_e(X1,X2,X1,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_142])]) ).
fof(f1448,plain,
( ! [X2,X3,X0,X1] :
( ins(X0,X1,X0,X2) = X1
| ~ s_e(X3,ins(X0,X1,X0,X2),X3,X1)
| ~ s_col(X3,X0,ins(X0,X1,X0,X2))
| X0 = X3
| ~ le(X0,X2,X0,X1) )
| ~ spl4_99
| ~ spl4_142 ),
inference(resolution,[],[f1437,f1012]) ).
fof(f1437,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X1,X2,X1,X3)
| X2 = X3
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 )
| ~ spl4_142 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f11049,plain,
( spl4_519
| ~ spl4_115
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1328,f1276,f1149,f11047]) ).
fof(f11047,plain,
( spl4_519
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| s_t(X4,X2,X3)
| ~ s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_519])]) ).
fof(f1328,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| s_t(X4,X2,X3)
| ~ s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_115
| ~ spl4_132 ),
inference(resolution,[],[f1277,f1150]) ).
fof(f10856,plain,
( spl4_518
| ~ spl4_2
| ~ spl4_374 ),
inference(avatar_split_clause,[],[f6437,f6352,f417,f10854]) ).
fof(f10854,plain,
( spl4_518
<=> ! [X0] :
( s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_518])]) ).
fof(f6437,plain,
( ! [X0] :
( s_t(s(sK3,sK1),s(sK3,sK2),s(sK3,X0))
| ~ s_t(sK0,sK2,X0) )
| ~ spl4_2
| ~ spl4_374 ),
inference(resolution,[],[f6353,f419]) ).
fof(f10708,plain,
( spl4_517
| ~ spl4_18
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1735,f1730,f488,f10706]) ).
fof(f10706,plain,
( spl4_517
<=> ! [X5,X4,X0,X3,X2,X1] :
( X0 = X1
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X4)
| s_e(X4,X5,X3,X5)
| ~ s_e(X0,X5,X2,X5)
| ~ s_e(X1,X4,X1,X3)
| ~ s_e(X0,X1,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_517])]) ).
fof(f1735,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X4)
| s_e(X4,X5,X3,X5)
| ~ s_e(X0,X5,X2,X5)
| ~ s_e(X1,X4,X1,X3)
| ~ s_e(X0,X1,X2,X1) )
| ~ spl4_18
| ~ spl4_167 ),
inference(resolution,[],[f1731,f489]) ).
fof(f10704,plain,
( spl4_516
| ~ spl4_17
| ~ spl4_167 ),
inference(avatar_split_clause,[],[f1734,f1730,f484,f10702]) ).
fof(f10702,plain,
( spl4_516
<=> ! [X2,X4,X0,X3,X5,X1] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,X3,X4,X1)
| ~ s_e(X0,X3,X2,X1)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_516])]) ).
fof(f1734,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| s_e(X5,X3,X4,X1)
| ~ s_e(X0,X3,X2,X1)
| ~ s_e(X1,X5,X3,X4)
| ~ s_e(X0,X1,X2,X3) )
| ~ spl4_17
| ~ spl4_167 ),
inference(resolution,[],[f1731,f485]) ).
fof(f10700,plain,
( spl4_515
| ~ spl4_99
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1653,f1614,f1011,f10698]) ).
fof(f10698,plain,
( spl4_515
<=> ! [X2,X3,X4,X0,X5,X1] :
( s_e(X0,ins(X1,X2,X3,X4),X1,X5)
| ~ s_e(X0,X3,X2,X5)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_515])]) ).
fof(f1614,plain,
( spl4_157
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_157])]) ).
fof(f1653,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ins(X1,X2,X3,X4),X1,X5)
| ~ s_e(X0,X3,X2,X5)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) )
| ~ spl4_99
| ~ spl4_157 ),
inference(resolution,[],[f1615,f1012]) ).
fof(f1615,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X2,X3,X4)
| s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) )
| ~ spl4_157 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f10696,plain,
( spl4_514
| ~ spl4_99
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1646,f1610,f1011,f10694]) ).
fof(f10694,plain,
( spl4_514
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,ins(X1,X2,X3,X4),X5,X2)
| ~ s_e(X0,X3,X5,X1)
| ~ s_t(X5,X1,X2)
| ~ s_t(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_514])]) ).
fof(f1610,plain,
( spl4_156
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_156])]) ).
fof(f1646,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ins(X1,X2,X3,X4),X5,X2)
| ~ s_e(X0,X3,X5,X1)
| ~ s_t(X5,X1,X2)
| ~ s_t(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) )
| ~ spl4_99
| ~ spl4_156 ),
inference(resolution,[],[f1611,f1012]) ).
fof(f1611,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) )
| ~ spl4_156 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f10692,plain,
( spl4_513
| ~ spl4_99
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1630,f1606,f1011,f10690]) ).
fof(f10690,plain,
( spl4_513
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,ins(X3,X4,X1,X5),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ins(X3,X4,X1,X5))
| ~ le(X1,X5,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_513])]) ).
fof(f1606,plain,
( spl4_155
<=> ! [X5,X4,X2,X0,X3,X1] :
( s_e(X0,X1,X3,X4)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_155])]) ).
fof(f1630,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,ins(X3,X4,X1,X5),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ins(X3,X4,X1,X5))
| ~ le(X1,X5,X3,X4) )
| ~ spl4_99
| ~ spl4_155 ),
inference(resolution,[],[f1607,f1012]) ).
fof(f1607,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X2,X4,X5)
| s_e(X0,X1,X3,X4)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) )
| ~ spl4_155 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f10688,plain,
( spl4_512
| ~ spl4_65
| ~ spl4_373 ),
inference(avatar_split_clause,[],[f6425,f6348,f776,f10686]) ).
fof(f10686,plain,
( spl4_512
<=> ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK0))
| ~ s_t(sK1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_512])]) ).
fof(f6425,plain,
( ! [X0] :
( s_t(s(sK3,sK2),s(sK3,X0),s(sK3,sK0))
| ~ s_t(sK1,X0,sK0) )
| ~ spl4_65
| ~ spl4_373 ),
inference(resolution,[],[f6349,f778]) ).
fof(f10684,plain,
( spl4_511
| ~ spl4_99
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1623,f1602,f1011,f10682]) ).
fof(f10682,plain,
( spl4_511
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,ins(X1,X2,X3,X4),X5,X2)
| ~ s_e(X3,X0,X1,X5)
| ~ sameside(X5,X1,X2)
| ~ sameside(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_511])]) ).
fof(f1602,plain,
( spl4_154
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_154])]) ).
fof(f1623,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ins(X1,X2,X3,X4),X5,X2)
| ~ s_e(X3,X0,X1,X5)
| ~ sameside(X5,X1,X2)
| ~ sameside(X0,X3,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2) )
| ~ spl4_99
| ~ spl4_154 ),
inference(resolution,[],[f1603,f1012]) ).
fof(f1603,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) )
| ~ spl4_154 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f10680,plain,
( spl4_510
| ~ spl4_63
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1582,f1516,f768,f10678]) ).
fof(f10678,plain,
( spl4_510
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| ~ s_t(crossbar(X0,X5,X4,X2,X3,X1),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_510])]) ).
fof(f1582,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X5
| ~ s_t(crossbar(X0,X5,X4,X2,X3,X1),X5,X3) )
| ~ spl4_63
| ~ spl4_152 ),
inference(resolution,[],[f1517,f769]) ).
fof(f10676,plain,
( spl4_509
| ~ spl4_63
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1563,f1512,f768,f10674]) ).
fof(f10674,plain,
( spl4_509
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| ~ s_t(crossbar(X0,X5,X4,X2,X3,X1),X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_509])]) ).
fof(f1563,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| crossbar(X0,X5,X4,X2,X3,X1) = X1
| ~ s_t(crossbar(X0,X5,X4,X2,X3,X1),X1,X4) )
| ~ spl4_63
| ~ spl4_151 ),
inference(resolution,[],[f1513,f769]) ).
fof(f10672,plain,
( spl4_508
| ~ spl4_62
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1401,f1375,f764,f10670]) ).
fof(f10670,plain,
( spl4_508
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| s_t(X1,X0,c63(X2,X3,X0))
| ~ s_t(X1,X3,c63(X2,X3,X0))
| c63(X2,X3,X0) = X3
| ~ sameside(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_508])]) ).
fof(f1401,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| s_t(X1,X0,c63(X2,X3,X0))
| ~ s_t(X1,X3,c63(X2,X3,X0))
| c63(X2,X3,X0) = X3
| ~ sameside(X2,X3,X0) )
| ~ spl4_62
| ~ spl4_138 ),
inference(resolution,[],[f1376,f765]) ).
fof(f10668,plain,
( spl4_507
| ~ spl4_61
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1400,f1375,f760,f10666]) ).
fof(f10666,plain,
( spl4_507
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| s_t(X1,X0,c63(X0,X2,X3))
| ~ s_t(X1,X2,c63(X0,X2,X3))
| c63(X0,X2,X3) = X2
| ~ sameside(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_507])]) ).
fof(f1400,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| s_t(X1,X0,c63(X0,X2,X3))
| ~ s_t(X1,X2,c63(X0,X2,X3))
| c63(X0,X2,X3) = X2
| ~ sameside(X0,X2,X3) )
| ~ spl4_61
| ~ spl4_138 ),
inference(resolution,[],[f1376,f761]) ).
fof(f10664,plain,
( spl4_506
| ~ spl4_45
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1398,f1375,f606,f10662]) ).
fof(f10662,plain,
( spl4_506
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| s_t(X1,X0,ext(X0,X2,X3,X4))
| ~ s_t(X1,X2,ext(X0,X2,X3,X4))
| ext(X0,X2,X3,X4) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_506])]) ).
fof(f1398,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| s_t(X1,X0,ext(X0,X2,X3,X4))
| ~ s_t(X1,X2,ext(X0,X2,X3,X4))
| ext(X0,X2,X3,X4) = X2 )
| ~ spl4_45
| ~ spl4_138 ),
inference(resolution,[],[f1376,f607]) ).
fof(f10660,plain,
( spl4_505
| ~ spl4_98
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1326,f1276,f1007,f10658]) ).
fof(f10658,plain,
( spl4_505
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| X2 = X3
| sameside(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_505])]) ).
fof(f1326,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| X2 = X3
| sameside(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_98
| ~ spl4_132 ),
inference(resolution,[],[f1277,f1008]) ).
fof(f10656,plain,
( spl4_504
| ~ spl4_97
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1325,f1276,f1003,f10654]) ).
fof(f10654,plain,
( spl4_504
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| xb = X2
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| sameside(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_504])]) ).
fof(f1325,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| xb = X2
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| sameside(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,X3) )
| ~ spl4_97
| ~ spl4_132 ),
inference(resolution,[],[f1277,f1004]) ).
fof(f10611,plain,
( spl4_503
| ~ spl4_2
| ~ spl4_373 ),
inference(avatar_split_clause,[],[f6424,f6348,f417,f10609]) ).
fof(f10609,plain,
( spl4_503
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| ~ s_t(sK1,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_503])]) ).
fof(f6424,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| ~ s_t(sK1,X0,sK2) )
| ~ spl4_2
| ~ spl4_373 ),
inference(resolution,[],[f6349,f419]) ).
fof(f10275,plain,
( spl4_502
| ~ spl4_51
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1696,f1688,f677,f10273]) ).
fof(f10273,plain,
( spl4_502
<=> ! [X5,X4,X0,X3,X2,X1] :
( ext(X1,X2,X3,X4) = X0
| ~ sameside(ext(X1,X2,X3,X4),X2,X5)
| ~ s_e(X2,X0,X3,X4)
| ~ sameside(X0,X2,X5)
| X3 = X4
| X2 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_502])]) ).
fof(f1696,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ext(X1,X2,X3,X4) = X0
| ~ sameside(ext(X1,X2,X3,X4),X2,X5)
| ~ s_e(X2,X0,X3,X4)
| ~ sameside(X0,X2,X5)
| X3 = X4
| X2 = X5 )
| ~ spl4_51
| ~ spl4_163 ),
inference(resolution,[],[f1689,f678]) ).
fof(f10271,plain,
( spl4_501
| ~ spl4_48
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1695,f1688,f665,f10269]) ).
fof(f10269,plain,
( spl4_501
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,s(X4,X2),s(X4,X1))
| ~ sameside(X0,X2,X3)
| s(X4,X1) = s(X4,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_501])]) ).
fof(f1695,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,s(X4,X2),s(X4,X1))
| ~ sameside(X0,X2,X3)
| s(X4,X1) = s(X4,X2)
| X2 = X3 )
| ~ spl4_48
| ~ spl4_163 ),
inference(resolution,[],[f1689,f666]) ).
fof(f10267,plain,
( spl4_500
| ~ spl4_99
| ~ spl4_150 ),
inference(avatar_split_clause,[],[f1557,f1508,f1011,f10265]) ).
fof(f10265,plain,
( spl4_500
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,ins(X1,X2,X1,X3),X0,X2)
| ~ s_e(X4,ins(X1,X2,X1,X3),X4,X2)
| ~ s_col(X4,X1,X0)
| X1 = X4
| ~ le(X1,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_500])]) ).
fof(f1508,plain,
( spl4_150
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X2,X3,X2,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_150])]) ).
fof(f1557,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,ins(X1,X2,X1,X3),X0,X2)
| ~ s_e(X4,ins(X1,X2,X1,X3),X4,X2)
| ~ s_col(X4,X1,X0)
| X1 = X4
| ~ le(X1,X3,X1,X2) )
| ~ spl4_99
| ~ spl4_150 ),
inference(resolution,[],[f1509,f1012]) ).
fof(f1509,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X1,X3,X1,X4)
| s_e(X2,X3,X2,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 )
| ~ spl4_150 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f10263,plain,
( spl4_499
| ~ spl4_86
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1483,f1455,f934,f10261]) ).
fof(f10261,plain,
( spl4_499
<=> ! [X4,X0,X3,X2,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,ins(X3,X4,X2,X1))
| ins(X3,X4,X2,X1) = X1
| X1 = X2
| X0 = X1
| ~ le(X2,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_499])]) ).
fof(f1483,plain,
( ! [X2,X3,X0,X1,X4] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,ins(X3,X4,X2,X1))
| ins(X3,X4,X2,X1) = X1
| X1 = X2
| X0 = X1
| ~ le(X2,X1,X3,X4) )
| ~ spl4_86
| ~ spl4_144 ),
inference(resolution,[],[f1456,f935]) ).
fof(f10259,plain,
( spl4_498
| ~ spl4_66
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1369,f1343,f798,f10257]) ).
fof(f798,plain,
( spl4_66
<=> ! [X2,X0,X1] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f1369,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X2 = X3
| s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| s_t(X3,X2,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) )
| ~ spl4_66
| ~ spl4_136 ),
inference(resolution,[],[f1344,f799]) ).
fof(f799,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(X1,X0,X2)
| s_t(X1,X2,X0) )
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f10255,plain,
( spl4_497
| ~ spl4_123
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3832,f3450,f1223,f10253]) ).
fof(f10253,plain,
( spl4_497
<=> ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK1)
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_497])]) ).
fof(f3832,plain,
( ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK1)
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_266 ),
inference(resolution,[],[f3451,f1224]) ).
fof(f10251,plain,
( spl4_496
| ~ spl4_125
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1314,f1264,f1231,f10249]) ).
fof(f1314,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X1,X5,ip(X3,X4,X2,X0,X1))
| s_t(X1,ip(X3,X4,X2,X0,X1),X5)
| ~ s_t(X1,X5,X3) )
| ~ spl4_125
| ~ spl4_129 ),
inference(resolution,[],[f1265,f1232]) ).
fof(f10247,plain,
( spl4_495
| ~ spl4_125
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1299,f1260,f1231,f10245]) ).
fof(f1299,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X4,X5,ip(X3,X4,X2,X0,X1))
| s_t(X4,ip(X3,X4,X2,X0,X1),X5)
| ~ s_t(X4,X5,X0) )
| ~ spl4_125
| ~ spl4_128 ),
inference(resolution,[],[f1261,f1232]) ).
fof(f10086,plain,
( spl4_494
| ~ spl4_18
| ~ spl4_166 ),
inference(avatar_split_clause,[],[f1725,f1720,f488,f10084]) ).
fof(f10084,plain,
( spl4_494
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ s_m(X0,X1,X0)
| ~ s_m(X2,X3,X4)
| s_kf(X2,X3,X4,X5,X0,X1,X0)
| ~ s_e(X5,X2,X5,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X2,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_494])]) ).
fof(f1725,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_m(X0,X1,X0)
| ~ s_m(X2,X3,X4)
| s_kf(X2,X3,X4,X5,X0,X1,X0)
| ~ s_e(X5,X2,X5,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X2,X5,X0) )
| ~ spl4_18
| ~ spl4_166 ),
inference(resolution,[],[f1721,f489]) ).
fof(f10082,plain,
( spl4_493
| ~ spl4_137
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f3831,f3450,f1347,f10080]) ).
fof(f10080,plain,
( spl4_493
<=> ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK1)
| s_t(s(sK3,sK0),X0,s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_493])]) ).
fof(f3831,plain,
( ! [X0] :
( ~ s_t(sK0,s(sK3,X0),sK1)
| s_t(s(sK3,sK0),X0,s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_266 ),
inference(resolution,[],[f3451,f1348]) ).
fof(f10078,plain,
( spl4_492
| ~ spl4_9
| ~ spl4_165 ),
inference(avatar_split_clause,[],[f1711,f1708,f452,f10076]) ).
fof(f452,plain,
( spl4_9
<=> ! [X0,X1] : s_col(X0,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f1711,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_col(X0,X1,X2)
| X3 = X4
| s_col(X4,X5,X2)
| ~ s_col(X0,X1,X4)
| ~ s_col(X4,X5,X3)
| ~ s_col(X0,X1,X3)
| X4 = X5
| X0 = X1 )
| ~ spl4_9
| ~ spl4_165 ),
inference(resolution,[],[f1709,f453]) ).
fof(f453,plain,
( ! [X0,X1] : s_col(X0,X1,X0)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f10074,plain,
( spl4_491
| ~ spl4_130
| ~ spl4_164 ),
inference(avatar_split_clause,[],[f1702,f1699,f1268,f10072]) ).
fof(f10072,plain,
( spl4_491
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e3(X4,X0,X6,X5,X2,X7)
| ~ s_col(X4,X0,X6)
| X0 = X4
| s_e(X6,X1,X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_491])]) ).
fof(f1268,plain,
( spl4_130
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( s_e(X2,X3,X6,X7)
| X0 = X1
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_130])]) ).
fof(f1699,plain,
( spl4_164
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_164])]) ).
fof(f1702,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e3(X4,X0,X6,X5,X2,X7)
| ~ s_col(X4,X0,X6)
| X0 = X4
| s_e(X6,X1,X7,X3) )
| ~ spl4_130
| ~ spl4_164 ),
inference(resolution,[],[f1700,f1269]) ).
fof(f1269,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| X0 = X1
| s_e(X2,X3,X6,X7) )
| ~ spl4_130 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1700,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) )
| ~ spl4_164 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f10070,plain,
( spl4_490
| ~ spl4_71
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1322,f1276,f818,f10068]) ).
fof(f10068,plain,
( spl4_490
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_490])]) ).
fof(f1322,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_71
| ~ spl4_132 ),
inference(resolution,[],[f1277,f819]) ).
fof(f10066,plain,
( spl4_489
| ~ spl4_115
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1313,f1264,f1149,f10064]) ).
fof(f10064,plain,
( spl4_489
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| s_t(X5,X1,X3)
| ~ s_t(X5,X1,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_489])]) ).
fof(f1313,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| s_t(X5,X1,X3)
| ~ s_t(X5,X1,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_115
| ~ spl4_129 ),
inference(resolution,[],[f1265,f1150]) ).
fof(f10062,plain,
( spl4_488
| ~ spl4_115
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1298,f1260,f1149,f10060]) ).
fof(f10060,plain,
( spl4_488
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| s_t(X5,X4,X0)
| ~ s_t(X5,X4,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_488])]) ).
fof(f1298,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| s_t(X5,X4,X0)
| ~ s_t(X5,X4,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_115
| ~ spl4_128 ),
inference(resolution,[],[f1261,f1150]) ).
fof(f10058,plain,
( spl4_487
| ~ spl4_99
| ~ spl4_127 ),
inference(avatar_split_clause,[],[f1284,f1256,f1011,f10056]) ).
fof(f10056,plain,
( spl4_487
<=> ! [X0,X3,X2,X1] :
( ins(X0,X1,X0,X2) = X1
| ~ s_e(X3,ins(X0,X1,X0,X2),X3,X1)
| ~ s_t(X3,ins(X0,X1,X0,X2),X0)
| ~ le(X0,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_487])]) ).
fof(f1256,plain,
( spl4_127
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| ~ s_e(X2,X1,X2,X3)
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_127])]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1] :
( ins(X0,X1,X0,X2) = X1
| ~ s_e(X3,ins(X0,X1,X0,X2),X3,X1)
| ~ s_t(X3,ins(X0,X1,X0,X2),X0)
| ~ le(X0,X2,X0,X1) )
| ~ spl4_99
| ~ spl4_127 ),
inference(resolution,[],[f1257,f1012]) ).
fof(f1257,plain,
( ! [X2,X3,X0,X1] :
( ~ s_e(X2,X1,X2,X3)
| X1 = X3
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) )
| ~ spl4_127 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f9784,plain,
( spl4_486
| ~ spl4_182
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3784,f3446,f1912,f9782]) ).
fof(f9782,plain,
( spl4_486
<=> ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK1)
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_486])]) ).
fof(f3784,plain,
( ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK1)
| s_t(X0,s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182
| ~ spl4_265 ),
inference(resolution,[],[f3447,f1913]) ).
fof(f9686,plain,
( spl4_485
| ~ spl4_86
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1425,f1383,f934,f9684]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ins(X2,X3,X0,X4))
| s_t(X0,ins(X2,X3,X0,X4),X1)
| ~ s_t(X0,X4,X1)
| X0 = X4
| ~ le(X0,X4,X2,X3) )
| ~ spl4_86
| ~ spl4_140 ),
inference(resolution,[],[f1384,f935]) ).
fof(f9682,plain,
( spl4_484
| ~ spl4_86
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1411,f1379,f934,f9680]) ).
fof(f1411,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),X1)
| ~ s_t(X4,X0,X1)
| X0 = X4
| ~ le(X4,X0,X2,X3) )
| ~ spl4_86
| ~ spl4_139 ),
inference(resolution,[],[f1380,f935]) ).
fof(f9678,plain,
( spl4_483
| ~ spl4_63
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1320,f1276,f768,f9676]) ).
fof(f9676,plain,
( spl4_483
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| ~ s_t(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_483])]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2
| ~ s_t(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,X3) )
| ~ spl4_63
| ~ spl4_132 ),
inference(resolution,[],[f1277,f769]) ).
fof(f9674,plain,
( spl4_482
| ~ spl4_98
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1311,f1264,f1007,f9672]) ).
fof(f9672,plain,
( spl4_482
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| X1 = X3
| sameside(X3,X1,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_482])]) ).
fof(f1311,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| X1 = X3
| sameside(X3,X1,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_98
| ~ spl4_129 ),
inference(resolution,[],[f1265,f1008]) ).
fof(f9670,plain,
( spl4_481
| ~ spl4_97
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1310,f1264,f1003,f9668]) ).
fof(f9668,plain,
( spl4_481
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| xb = X1
| ip(X3,X4,X2,X0,X1) = X1
| sameside(ip(X3,X4,X2,X0,X1),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_481])]) ).
fof(f1310,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| xb = X1
| ip(X3,X4,X2,X0,X1) = X1
| sameside(ip(X3,X4,X2,X0,X1),X1,X3) )
| ~ spl4_97
| ~ spl4_129 ),
inference(resolution,[],[f1265,f1004]) ).
fof(f9666,plain,
( spl4_480
| ~ spl4_183
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3783,f3446,f1928,f9664]) ).
fof(f9664,plain,
( spl4_480
<=> ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK1)
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_480])]) ).
fof(f3783,plain,
( ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK1)
| s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183
| ~ spl4_265 ),
inference(resolution,[],[f3447,f1929]) ).
fof(f9662,plain,
( spl4_479
| ~ spl4_98
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1296,f1260,f1007,f9660]) ).
fof(f9660,plain,
( spl4_479
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| X0 = X4
| sameside(X0,X4,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_479])]) ).
fof(f1296,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| X0 = X4
| sameside(X0,X4,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_98
| ~ spl4_128 ),
inference(resolution,[],[f1261,f1008]) ).
fof(f9658,plain,
( spl4_478
| ~ spl4_97
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1295,f1260,f1003,f9656]) ).
fof(f9656,plain,
( spl4_478
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| xb = X4
| ip(X3,X4,X2,X0,X1) = X4
| sameside(ip(X3,X4,X2,X0,X1),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_478])]) ).
fof(f1295,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| xb = X4
| ip(X3,X4,X2,X0,X1) = X4
| sameside(ip(X3,X4,X2,X0,X1),X4,X0) )
| ~ spl4_97
| ~ spl4_128 ),
inference(resolution,[],[f1261,f1004]) ).
fof(f9654,plain,
( spl4_477
| ~ spl4_100
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1248,f1231,f1015,f9652]) ).
fof(f1248,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(s(X0,X1),X2,s(X0,X3))
| s_t(s(X0,X1),s(X0,X3),X2)
| ~ s_t(s(X0,X1),X2,s(X0,X4))
| ~ s_t(X1,X3,X4) )
| ~ spl4_100
| ~ spl4_125 ),
inference(resolution,[],[f1232,f1016]) ).
fof(f9650,plain,
( spl4_476
| ~ spl4_98
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1117,f1015,f1007,f9648]) ).
fof(f9648,plain,
( spl4_476
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s(X3,X0) = s(X3,X1)
| s(X3,X0) = s(X3,X2)
| sameside(s(X3,X2),s(X3,X0),s(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_476])]) ).
fof(f1117,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s(X3,X0) = s(X3,X1)
| s(X3,X0) = s(X3,X2)
| sameside(s(X3,X2),s(X3,X0),s(X3,X1)) )
| ~ spl4_98
| ~ spl4_100 ),
inference(resolution,[],[f1016,f1008]) ).
fof(f9478,plain,
( spl4_475
| ~ spl4_131
| ~ spl4_265 ),
inference(avatar_split_clause,[],[f3781,f3446,f1272,f9476]) ).
fof(f3781,plain,
( ! [X0] :
( ~ s_t(s(sK3,X0),sK0,sK2)
| s_t(X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131
| ~ spl4_265 ),
inference(resolution,[],[f3447,f1273]) ).
fof(f9453,plain,
( spl4_474
| ~ spl4_84
| ~ spl4_160 ),
inference(avatar_split_clause,[],[f1665,f1655,f926,f9451]) ).
fof(f926,plain,
( spl4_84
<=> ! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).
fof(f1655,plain,
( spl4_160
<=> ! [X0,X3,X2,X1] :
( ins(X2,X3,X0,X1) = ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_160])]) ).
fof(f1665,plain,
( ! [X2,X0,X1] :
( ins(X0,X1,X2,X1) = ext(X2,X1,ext(ext(X1,X0,alpha,gamma),X0,X2,X1),X1)
| ~ s_t(X0,X2,X1)
| ~ s_col(X0,X2,X1) )
| ~ spl4_84
| ~ spl4_160 ),
inference(resolution,[],[f1656,f927]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) )
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1656,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| ins(X2,X3,X0,X1) = ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) )
| ~ spl4_160 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f9449,plain,
( spl4_473
| ~ spl4_62
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1485,f1455,f764,f9447]) ).
fof(f9447,plain,
( spl4_473
<=> ! [X0,X3,X2,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X3,X1,X2))
| c63(X3,X1,X2) = X1
| X1 = X2
| X0 = X1
| ~ sameside(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_473])]) ).
fof(f1485,plain,
( ! [X2,X3,X0,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X3,X1,X2))
| c63(X3,X1,X2) = X1
| X1 = X2
| X0 = X1
| ~ sameside(X3,X1,X2) )
| ~ spl4_62
| ~ spl4_144 ),
inference(resolution,[],[f1456,f765]) ).
fof(f9445,plain,
( spl4_472
| ~ spl4_61
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1484,f1455,f760,f9443]) ).
fof(f9443,plain,
( spl4_472
<=> ! [X0,X3,X2,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X2,X1,X3))
| c63(X2,X1,X3) = X1
| X1 = X2
| X0 = X1
| ~ sameside(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_472])]) ).
fof(f1484,plain,
( ! [X2,X3,X0,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X2,X1,X3))
| c63(X2,X1,X3) = X1
| X1 = X2
| X0 = X1
| ~ sameside(X2,X1,X3) )
| ~ spl4_61
| ~ spl4_144 ),
inference(resolution,[],[f1456,f761]) ).
fof(f9441,plain,
( spl4_471
| ~ spl4_51
| ~ spl4_142 ),
inference(avatar_split_clause,[],[f1447,f1436,f677,f9439]) ).
fof(f9439,plain,
( spl4_471
<=> ! [X0,X3,X2,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_e(X3,ext(X0,X1,X1,X2),X3,X2)
| ~ s_col(X3,X1,ext(X0,X1,X1,X2))
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_471])]) ).
fof(f1447,plain,
( ! [X2,X3,X0,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_e(X3,ext(X0,X1,X1,X2),X3,X2)
| ~ s_col(X3,X1,ext(X0,X1,X1,X2))
| X1 = X3 )
| ~ spl4_51
| ~ spl4_142 ),
inference(resolution,[],[f1437,f678]) ).
fof(f9437,plain,
( spl4_470
| ~ spl4_99
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1434,f1387,f1011,f9435]) ).
fof(f9435,plain,
( spl4_470
<=> ! [X4,X0,X3,X2,X1] :
( ext(X0,X1,X2,X3) = ins(X2,X3,X1,X4)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4))
| X0 = X1
| ~ le(X1,X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_470])]) ).
fof(f1387,plain,
( spl4_141
<=> ! [X4,X0,X3,X2,X1] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_141])]) ).
fof(f1434,plain,
( ! [X2,X3,X0,X1,X4] :
( ext(X0,X1,X2,X3) = ins(X2,X3,X1,X4)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4))
| X0 = X1
| ~ le(X1,X4,X2,X3) )
| ~ spl4_99
| ~ spl4_141 ),
inference(resolution,[],[f1388,f1012]) ).
fof(f1388,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X1,X2,X3,X4)
| ext(X0,X1,X3,X4) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 )
| ~ spl4_141 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f9433,plain,
( spl4_469
| ~ spl4_100
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1191,f1149,f1015,f9431]) ).
fof(f1191,plain,
( ! [X2,X3,X0,X1,X4] :
( s(X0,X1) = s(X0,X2)
| s_t(X3,s(X0,X1),s(X0,X4))
| ~ s_t(X3,s(X0,X1),s(X0,X2))
| ~ s_t(X1,X2,X4) )
| ~ spl4_100
| ~ spl4_115 ),
inference(resolution,[],[f1150,f1016]) ).
fof(f9429,plain,
( spl4_468
| ~ spl4_100
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1182,f1145,f1015,f9427]) ).
fof(f1182,plain,
( ! [X2,X3,X0,X1,X4] :
( s(X0,X1) = s(X0,X2)
| s_t(X3,s(X0,X2),s(X0,X4))
| ~ s_t(X3,s(X0,X1),s(X0,X2))
| ~ s_t(X1,X2,X4) )
| ~ spl4_100
| ~ spl4_114 ),
inference(resolution,[],[f1146,f1016]) ).
fof(f9380,plain,
( spl4_467
| ~ spl4_182
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3749,f3442,f1912,f9378]) ).
fof(f9378,plain,
( spl4_467
<=> ! [X0] :
( ~ s_t(sK1,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_467])]) ).
fof(f3749,plain,
( ! [X0] :
( ~ s_t(sK1,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_182
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1913]) ).
fof(f9090,plain,
( spl4_466
| ~ spl4_183
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3748,f3442,f1928,f9088]) ).
fof(f9088,plain,
( spl4_466
<=> ! [X0] :
( ~ s_t(sK1,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_466])]) ).
fof(f3748,plain,
( ! [X0] :
( ~ s_t(sK1,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_183
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1929]) ).
fof(f8843,plain,
( spl4_465
| ~ spl4_49
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1694,f1688,f669,f8841]) ).
fof(f8841,plain,
( spl4_465
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X2,X4)
| ~ sameside(X0,X2,X3)
| X2 = X4
| X2 = X3
| ~ s_m(X1,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_465])]) ).
fof(f1694,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X2,X4)
| ~ sameside(X0,X2,X3)
| X2 = X4
| X2 = X3
| ~ s_m(X1,X2,X4) )
| ~ spl4_49
| ~ spl4_163 ),
inference(resolution,[],[f1689,f670]) ).
fof(f8839,plain,
( spl4_464
| ~ spl4_51
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1652,f1614,f677,f8837]) ).
fof(f8837,plain,
( spl4_464
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,ext(X1,X2,X3,X4),X3,X5)
| ~ s_e(X0,X2,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X2,ext(X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_464])]) ).
fof(f1652,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ext(X1,X2,X3,X4),X3,X5)
| ~ s_e(X0,X2,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X2,ext(X1,X2,X3,X4)) )
| ~ spl4_51
| ~ spl4_157 ),
inference(resolution,[],[f1615,f678]) ).
fof(f8835,plain,
( spl4_463
| ~ spl4_48
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1651,f1614,f665,f8833]) ).
fof(f1651,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),X4)
| ~ s_e(X0,X3,s(X2,X1),X4)
| ~ s_t(s(X2,X3),s(X2,X1),X4)
| ~ s_t(X0,X3,X1) )
| ~ spl4_48
| ~ spl4_157 ),
inference(resolution,[],[f1615,f666]) ).
fof(f8831,plain,
( spl4_462
| ~ spl4_120
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3747,f3442,f1169,f8829]) ).
fof(f8829,plain,
( spl4_462
<=> ! [X0] :
( ~ s_t(sK2,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_462])]) ).
fof(f3747,plain,
( ! [X0] :
( ~ s_t(sK2,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_120
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1170]) ).
fof(f8827,plain,
( spl4_461
| ~ spl4_51
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1645,f1610,f677,f8825]) ).
fof(f8825,plain,
( spl4_461
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,ext(X1,X2,X3,X4),X5,X4)
| ~ s_e(X0,X2,X5,X3)
| ~ s_t(X5,X3,X4)
| ~ s_t(X0,X2,ext(X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_461])]) ).
fof(f1645,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ext(X1,X2,X3,X4),X5,X4)
| ~ s_e(X0,X2,X5,X3)
| ~ s_t(X5,X3,X4)
| ~ s_t(X0,X2,ext(X1,X2,X3,X4)) )
| ~ spl4_51
| ~ spl4_156 ),
inference(resolution,[],[f1611,f678]) ).
fof(f8823,plain,
( spl4_460
| ~ spl4_48
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1644,f1610,f665,f8821]) ).
fof(f1644,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X0,X4,X2,s(X3,X4))
| ~ s_t(X2,s(X3,X4),s(X3,X1))
| ~ s_t(X0,X4,X1) )
| ~ spl4_48
| ~ spl4_156 ),
inference(resolution,[],[f1611,f666]) ).
fof(f8819,plain,
( spl4_459
| ~ spl4_51
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1629,f1606,f677,f8817]) ).
fof(f8817,plain,
( spl4_459
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,ext(X4,X1,X3,X5),X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,ext(X4,X1,X3,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_459])]) ).
fof(f1629,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,ext(X4,X1,X3,X5),X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,ext(X4,X1,X3,X5)) )
| ~ spl4_51
| ~ spl4_155 ),
inference(resolution,[],[f1607,f678]) ).
fof(f8815,plain,
( spl4_458
| ~ spl4_48
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1628,f1606,f665,f8813]) ).
fof(f1628,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X0,X4,X2,s(X3,X4))
| ~ s_t(X2,s(X3,X1),s(X3,X4))
| ~ s_t(X0,X1,X4) )
| ~ spl4_48
| ~ spl4_155 ),
inference(resolution,[],[f1607,f666]) ).
fof(f8811,plain,
( spl4_457
| ~ spl4_51
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1622,f1602,f677,f8809]) ).
fof(f8809,plain,
( spl4_457
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,ext(X1,X2,X3,X4),X5,X4)
| ~ s_e(X2,X0,X3,X5)
| ~ sameside(X5,X3,X4)
| ~ sameside(X0,X2,ext(X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_457])]) ).
fof(f1622,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,ext(X1,X2,X3,X4),X5,X4)
| ~ s_e(X2,X0,X3,X5)
| ~ sameside(X5,X3,X4)
| ~ sameside(X0,X2,ext(X1,X2,X3,X4)) )
| ~ spl4_51
| ~ spl4_154 ),
inference(resolution,[],[f1603,f678]) ).
fof(f8807,plain,
( spl4_456
| ~ spl4_48
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1621,f1602,f665,f8805]) ).
fof(f1621,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,s(X3,X1))
| ~ s_e(X4,X0,s(X3,X4),X2)
| ~ sameside(X2,s(X3,X4),s(X3,X1))
| ~ sameside(X0,X4,X1) )
| ~ spl4_48
| ~ spl4_154 ),
inference(resolution,[],[f1603,f666]) ).
fof(f8803,plain,
( spl4_455
| ~ spl4_73
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1586,f1516,f831,f8801]) ).
fof(f8801,plain,
( spl4_455
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| ~ s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_455])]) ).
fof(f1586,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X5,X6,X3)
| ~ s_t(X5,X6,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_73
| ~ spl4_152 ),
inference(resolution,[],[f1517,f832]) ).
fof(f8799,plain,
( spl4_454
| ~ spl4_72
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1585,f1516,f827,f8797]) ).
fof(f1585,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,X5,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X6,X5,X3) )
| ~ spl4_72
| ~ spl4_152 ),
inference(resolution,[],[f1517,f828]) ).
fof(f8795,plain,
( spl4_453
| ~ spl4_70
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1583,f1516,f814,f8793]) ).
fof(f1583,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X3)
| ~ s_t(X6,X5,X3) )
| ~ spl4_70
| ~ spl4_152 ),
inference(resolution,[],[f1517,f815]) ).
fof(f8791,plain,
( spl4_452
| ~ spl4_73
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1567,f1512,f831,f8789]) ).
fof(f8789,plain,
( spl4_452
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| ~ s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_452])]) ).
fof(f1567,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X1,X6,X4)
| ~ s_t(X1,X6,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_73
| ~ spl4_151 ),
inference(resolution,[],[f1513,f832]) ).
fof(f8787,plain,
( spl4_451
| ~ spl4_131
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3746,f3442,f1272,f8785]) ).
fof(f8785,plain,
( spl4_451
<=> ! [X0] :
( ~ s_t(sK2,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_451])]) ).
fof(f3746,plain,
( ! [X0] :
( ~ s_t(sK2,sK0,X0)
| s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_131
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1273]) ).
fof(f8783,plain,
( spl4_450
| ~ spl4_72
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1566,f1512,f827,f8781]) ).
fof(f1566,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,X1,crossbar(X0,X5,X4,X2,X3,X1))
| ~ s_t(X6,X1,X4) )
| ~ spl4_72
| ~ spl4_151 ),
inference(resolution,[],[f1513,f828]) ).
fof(f8779,plain,
( spl4_449
| ~ spl4_70
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1564,f1512,f814,f8777]) ).
fof(f1564,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X6,crossbar(X0,X5,X4,X2,X3,X1),X4)
| ~ s_t(X6,X1,X4) )
| ~ spl4_70
| ~ spl4_151 ),
inference(resolution,[],[f1513,f815]) ).
fof(f8775,plain,
( spl4_448
| ~ spl4_48
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1500,f1467,f665,f8773]) ).
fof(f1467,plain,
( spl4_147
<=> ! [X2,X4,X0,X3,X1] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_147])]) ).
fof(f1500,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X1),ext(ext(s(X0,X2),s(X0,X1),alpha,gamma),s(X0,X1),X1,X3),s(X0,X2))
| ~ s_t(X1,X3,X2) )
| ~ spl4_48
| ~ spl4_147 ),
inference(resolution,[],[f1468,f666]) ).
fof(f1468,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X2,X3,X4)
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_t(X0,X1,X2) )
| ~ spl4_147 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f8771,plain,
( spl4_447
| ~ spl4_71
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1307,f1264,f818,f8769]) ).
fof(f8769,plain,
( spl4_447
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X1,X5,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_447])]) ).
fof(f1307,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X1,X5,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_71
| ~ spl4_129 ),
inference(resolution,[],[f1265,f819]) ).
fof(f8767,plain,
( spl4_446
| ~ spl4_71
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1292,f1260,f818,f8765]) ).
fof(f8765,plain,
( spl4_446
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X4,X5,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_446])]) ).
fof(f1292,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X4,X5,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_71
| ~ spl4_128 ),
inference(resolution,[],[f1261,f819]) ).
fof(f8763,plain,
( spl4_445
| ~ spl4_97
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1116,f1015,f1003,f8761]) ).
fof(f8761,plain,
( spl4_445
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| xb = s(X3,X0)
| s(X3,X0) = s(X3,X1)
| sameside(s(X3,X1),s(X3,X0),s(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_445])]) ).
fof(f1116,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| xb = s(X3,X0)
| s(X3,X0) = s(X3,X1)
| sameside(s(X3,X1),s(X3,X0),s(X3,X2)) )
| ~ spl4_97
| ~ spl4_100 ),
inference(resolution,[],[f1016,f1004]) ).
fof(f8657,plain,
( spl4_444
| ~ spl4_123
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3742,f3442,f1223,f8655]) ).
fof(f8655,plain,
( spl4_444
<=> ! [X0] :
( ~ s_t(sK1,X0,sK0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_444])]) ).
fof(f3742,plain,
( ! [X0] :
( ~ s_t(sK1,X0,sK0)
| s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2)) )
| ~ spl4_123
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1224]) ).
fof(f8188,plain,
( spl4_443
| ~ spl4_117
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f1669,f1659,f1157,f8186]) ).
fof(f8186,plain,
( spl4_443
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1)
| s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_col(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_443])]) ).
fof(f1157,plain,
( spl4_117
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_col(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).
fof(f1659,plain,
( spl4_161
<=> ! [X2,X4,X0,X3,X1] :
( s_e3(X0,X1,X2,X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_161])]) ).
fof(f1669,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1)
| s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_col(X0,X4,X1) )
| ~ spl4_117
| ~ spl4_161 ),
inference(resolution,[],[f1660,f1158]) ).
fof(f1158,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_col(X3,X4,X5)
| ~ s_col(X0,X1,X2) )
| ~ spl4_117 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1660,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) )
| ~ spl4_161 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f8184,plain,
( spl4_442
| ~ spl4_51
| ~ spl4_150 ),
inference(avatar_split_clause,[],[f1556,f1508,f677,f8182]) ).
fof(f8182,plain,
( spl4_442
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,ext(X1,X2,X2,X3),X0,X3)
| ~ s_e(X4,ext(X1,X2,X2,X3),X4,X3)
| ~ s_col(X4,X2,X0)
| X2 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_442])]) ).
fof(f1556,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,ext(X1,X2,X2,X3),X0,X3)
| ~ s_e(X4,ext(X1,X2,X2,X3),X4,X3)
| ~ s_col(X4,X2,X0)
| X2 = X4 )
| ~ spl4_51
| ~ spl4_150 ),
inference(resolution,[],[f1509,f678]) ).
fof(f8180,plain,
( spl4_441
| ~ spl4_99
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1502,f1467,f1011,f8178]) ).
fof(f8178,plain,
( spl4_441
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| ~ s_t(X2,X3,ins(X0,X1,X2,X4))
| ~ le(X2,X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_441])]) ).
fof(f1502,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| ~ s_t(X2,X3,ins(X0,X1,X2,X4))
| ~ le(X2,X4,X0,X1) )
| ~ spl4_99
| ~ spl4_147 ),
inference(resolution,[],[f1468,f1012]) ).
fof(f8176,plain,
( spl4_440
| ~ spl4_137
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3741,f3442,f1347,f8174]) ).
fof(f8174,plain,
( spl4_440
<=> ! [X0] :
( ~ s_t(sK1,X0,sK0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_440])]) ).
fof(f3741,plain,
( ! [X0] :
( ~ s_t(sK1,X0,sK0)
| s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2)) )
| ~ spl4_137
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1348]) ).
fof(f8172,plain,
( spl4_439
| ~ spl4_45
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1482,f1455,f606,f8170]) ).
fof(f8170,plain,
( spl4_439
<=> ! [X4,X0,X3,X2,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4))
| ext(X2,X1,X3,X4) = X1
| X1 = X2
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_439])]) ).
fof(f1482,plain,
( ! [X2,X3,X0,X1,X4] :
( sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4))
| ext(X2,X1,X3,X4) = X1
| X1 = X2
| X0 = X1 )
| ~ spl4_45
| ~ spl4_144 ),
inference(resolution,[],[f1456,f607]) ).
fof(f8168,plain,
( spl4_438
| ~ spl4_62
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1427,f1383,f764,f8166]) ).
fof(f1427,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| s_t(X0,c63(X2,X3,X0),X1)
| ~ s_t(X0,X3,X1)
| X0 = X3
| ~ sameside(X2,X3,X0) )
| ~ spl4_62
| ~ spl4_140 ),
inference(resolution,[],[f1384,f765]) ).
fof(f8164,plain,
( spl4_437
| ~ spl4_61
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1426,f1383,f760,f8162]) ).
fof(f1426,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| s_t(X0,c63(X0,X2,X3),X1)
| ~ s_t(X0,X2,X1)
| X0 = X2
| ~ sameside(X0,X2,X3) )
| ~ spl4_61
| ~ spl4_140 ),
inference(resolution,[],[f1384,f761]) ).
fof(f8160,plain,
( spl4_436
| ~ spl4_62
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1413,f1379,f764,f8158]) ).
fof(f1413,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),X1)
| ~ s_t(X3,X0,X1)
| X0 = X3
| ~ sameside(X2,X0,X3) )
| ~ spl4_62
| ~ spl4_139 ),
inference(resolution,[],[f1380,f765]) ).
fof(f8156,plain,
( spl4_435
| ~ spl4_61
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1412,f1379,f760,f8154]) ).
fof(f1412,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),X1)
| ~ s_t(X2,X0,X1)
| X0 = X2
| ~ sameside(X2,X0,X3) )
| ~ spl4_61
| ~ spl4_139 ),
inference(resolution,[],[f1380,f761]) ).
fof(f8152,plain,
( spl4_434
| ~ spl4_135
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1373,f1343,f1339,f8150]) ).
fof(f8150,plain,
( spl4_434
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| s_col(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X4)
| ~ s_t(X4,X3,X2)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_434])]) ).
fof(f1373,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| X2 = X3
| s_col(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X4)
| ~ s_t(X4,X3,X2)
| X3 = X4 )
| ~ spl4_135
| ~ spl4_136 ),
inference(duplicate_literal_removal,[],[f1367]) ).
fof(f1367,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| X2 = X3
| s_col(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X4)
| ~ s_t(X4,X3,X2)
| X2 = X3
| X3 = X4 )
| ~ spl4_135
| ~ spl4_136 ),
inference(resolution,[],[f1344,f1340]) ).
fof(f8148,plain,
( spl4_433
| ~ spl4_63
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1305,f1264,f768,f8146]) ).
fof(f8146,plain,
( spl4_433
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| ~ s_t(ip(X3,X4,X2,X0,X1),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_433])]) ).
fof(f1305,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X1
| ~ s_t(ip(X3,X4,X2,X0,X1),X1,X3) )
| ~ spl4_63
| ~ spl4_129 ),
inference(resolution,[],[f1265,f769]) ).
fof(f8144,plain,
( spl4_432
| ~ spl4_63
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1290,f1260,f768,f8142]) ).
fof(f8142,plain,
( spl4_432
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| ~ s_t(ip(X3,X4,X2,X0,X1),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_432])]) ).
fof(f1290,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ip(X3,X4,X2,X0,X1) = X4
| ~ s_t(ip(X3,X4,X2,X0,X1),X4,X0) )
| ~ spl4_63
| ~ spl4_128 ),
inference(resolution,[],[f1261,f769]) ).
fof(f8112,plain,
( spl4_431
| ~ spl4_100
| ~ spl4_183 ),
inference(avatar_split_clause,[],[f2228,f1928,f1015,f8110]) ).
fof(f2228,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) )
| ~ spl4_100
| ~ spl4_183 ),
inference(resolution,[],[f1929,f1016]) ).
fof(f8108,plain,
( spl4_430
| ~ spl4_59
| ~ spl4_160 ),
inference(avatar_split_clause,[],[f1663,f1655,f721,f8106]) ).
fof(f8106,plain,
( spl4_430
<=> ! [X0,X3,X2,X1] :
( ins(X0,X1,X2,X3) = ext(X2,X3,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_430])]) ).
fof(f721,plain,
( spl4_59
<=> ! [X0,X3,X2,X1] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).
fof(f1663,plain,
( ! [X2,X3,X0,X1] :
( ins(X0,X1,X2,X3) = ext(X2,X3,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| le(X0,X1,X2,X3) )
| ~ spl4_59
| ~ spl4_160 ),
inference(resolution,[],[f1656,f722]) ).
fof(f722,plain,
( ! [X2,X3,X0,X1] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) )
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f8104,plain,
( spl4_429
| ~ spl4_51
| ~ spl4_127 ),
inference(avatar_split_clause,[],[f1283,f1256,f677,f8102]) ).
fof(f8102,plain,
( spl4_429
<=> ! [X0,X3,X2,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_e(X3,ext(X0,X1,X1,X2),X3,X2)
| ~ s_t(X3,ext(X0,X1,X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_429])]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_e(X3,ext(X0,X1,X1,X2),X3,X2)
| ~ s_t(X3,ext(X0,X1,X1,X2),X1) )
| ~ spl4_51
| ~ spl4_127 ),
inference(resolution,[],[f1257,f678]) ).
fof(f7786,plain,
( spl4_428
| ~ spl4_117
| ~ spl4_153 ),
inference(avatar_split_clause,[],[f1597,f1520,f1157,f7784]) ).
fof(f7784,plain,
( spl4_428
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X4,X0,X5,X2)
| s_col(X5,X2,X3)
| ~ s_col(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_428])]) ).
fof(f1520,plain,
( spl4_153
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_153])]) ).
fof(f1597,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X4,X0,X5,X2)
| s_col(X5,X2,X3)
| ~ s_col(X4,X0,X1) )
| ~ spl4_117
| ~ spl4_153 ),
inference(resolution,[],[f1521,f1158]) ).
fof(f1521,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) )
| ~ spl4_153 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f7782,plain,
( spl4_427
| ~ spl4_118
| ~ spl4_153 ),
inference(avatar_split_clause,[],[f1596,f1520,f1161,f7780]) ).
fof(f7780,plain,
( spl4_427
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X4,X0,X5,X2)
| s_t(X5,X2,X3)
| ~ s_t(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_427])]) ).
fof(f1161,plain,
( spl4_118
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).
fof(f1596,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X4,X0,X5,X2)
| s_t(X5,X2,X3)
| ~ s_t(X4,X0,X1) )
| ~ spl4_118
| ~ spl4_153 ),
inference(resolution,[],[f1521,f1162]) ).
fof(f1162,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) )
| ~ spl4_118 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f7778,plain,
( spl4_426
| ~ spl4_100
| ~ spl4_182 ),
inference(avatar_split_clause,[],[f2225,f1912,f1015,f7776]) ).
fof(f7776,plain,
( spl4_426
<=> ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_426])]) ).
fof(f2225,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,sK0,sK1) )
| ~ spl4_100
| ~ spl4_182 ),
inference(resolution,[],[f1913,f1016]) ).
fof(f7774,plain,
( spl4_425
| ~ spl4_84
| ~ spl4_143 ),
inference(avatar_split_clause,[],[f1452,f1440,f926,f7772]) ).
fof(f7772,plain,
( spl4_425
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X6)
| le(X5,X6,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ s_col(X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_425])]) ).
fof(f1440,plain,
( spl4_143
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_143])]) ).
fof(f1452,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X1,X5,X6)
| le(X5,X6,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ s_col(X0,X4,X1) )
| ~ spl4_84
| ~ spl4_143 ),
inference(resolution,[],[f1441,f927]) ).
fof(f1441,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ le(X0,X1,X2,X3)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| le(X4,X5,X6,X7) )
| ~ spl4_143 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f7770,plain,
( spl4_424
| ~ spl4_45
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1424,f1383,f606,f7768]) ).
fof(f1424,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| s_t(X0,ext(X0,X2,X3,X4),X1)
| ~ s_t(X0,X2,X1)
| X0 = X2 )
| ~ spl4_45
| ~ spl4_140 ),
inference(resolution,[],[f1384,f607]) ).
fof(f7766,plain,
( spl4_423
| ~ spl4_45
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1410,f1379,f606,f7764]) ).
fof(f1410,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),X1)
| ~ s_t(X2,X0,X1)
| X0 = X2 )
| ~ spl4_45
| ~ spl4_139 ),
inference(resolution,[],[f1380,f607]) ).
fof(f7762,plain,
( spl4_422
| ~ spl4_86
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1089,f1007,f934,f7760]) ).
fof(f7760,plain,
( spl4_422
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ins(X2,X3,X0,X1) = X0
| sameside(ins(X2,X3,X0,X1),X0,X1)
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_422])]) ).
fof(f1089,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ins(X2,X3,X0,X1) = X0
| sameside(ins(X2,X3,X0,X1),X0,X1)
| ~ le(X0,X1,X2,X3) )
| ~ spl4_86
| ~ spl4_98 ),
inference(resolution,[],[f1008,f935]) ).
fof(f7590,plain,
( spl4_421
| ~ spl4_100
| ~ spl4_137 ),
inference(avatar_split_clause,[],[f1772,f1347,f1015,f7588]) ).
fof(f7588,plain,
( spl4_421
<=> ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| ~ s_t(sK0,X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_421])]) ).
fof(f1772,plain,
( ! [X0] :
( s_t(s(sK3,sK0),s(sK3,X0),s(sK3,sK2))
| ~ s_t(sK0,X0,sK1) )
| ~ spl4_100
| ~ spl4_137 ),
inference(resolution,[],[f1348,f1016]) ).
fof(f7369,plain,
( spl4_420
| ~ spl4_100
| ~ spl4_131 ),
inference(avatar_split_clause,[],[f1770,f1272,f1015,f7367]) ).
fof(f7367,plain,
( spl4_420
<=> ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,sK0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_420])]) ).
fof(f1770,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,sK0,sK2) )
| ~ spl4_100
| ~ spl4_131 ),
inference(resolution,[],[f1273,f1016]) ).
fof(f7340,plain,
( spl4_419
| ~ spl4_18
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1693,f1688,f488,f7338]) ).
fof(f7338,plain,
( spl4_419
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X2,X1)
| ~ sameside(X0,X2,X3)
| X1 = X2
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_419])]) ).
fof(f1693,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X2,X1)
| ~ sameside(X0,X2,X3)
| X1 = X2
| X2 = X3 )
| ~ spl4_18
| ~ spl4_163 ),
inference(resolution,[],[f1689,f489]) ).
fof(f7336,plain,
( spl4_418
| ~ spl4_17
| ~ spl4_163 ),
inference(avatar_split_clause,[],[f1692,f1688,f484,f7334]) ).
fof(f7334,plain,
( spl4_418
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X1,X2)
| ~ sameside(X0,X2,X3)
| X1 = X2
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_418])]) ).
fof(f1692,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ sameside(X1,X2,X3)
| ~ s_e(X2,X0,X1,X2)
| ~ sameside(X0,X2,X3)
| X1 = X2
| X2 = X3 )
| ~ spl4_17
| ~ spl4_163 ),
inference(resolution,[],[f1689,f485]) ).
fof(f7332,plain,
( spl4_417
| ~ spl4_76
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f1670,f1659,f843,f7330]) ).
fof(f7330,plain,
( spl4_417
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1)
| s_e(X4,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_417])]) ).
fof(f843,plain,
( spl4_76
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).
fof(f1670,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1)
| s_e(X4,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3) )
| ~ spl4_76
| ~ spl4_161 ),
inference(resolution,[],[f1660,f844]) ).
fof(f844,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_e(X1,X2,X4,X5) )
| ~ spl4_76 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f7328,plain,
( spl4_416
| ~ spl4_49
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1650,f1614,f669,f7326]) ).
fof(f7326,plain,
( spl4_416
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X2,X4,X3)
| ~ s_t(X2,X4,X3)
| ~ s_t(X0,X2,X1)
| ~ s_m(X1,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_416])]) ).
fof(f1650,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X2,X4,X3)
| ~ s_t(X2,X4,X3)
| ~ s_t(X0,X2,X1)
| ~ s_m(X1,X2,X4) )
| ~ spl4_49
| ~ spl4_157 ),
inference(resolution,[],[f1615,f670]) ).
fof(f7324,plain,
( spl4_415
| ~ spl4_49
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1643,f1610,f669,f7322]) ).
fof(f7322,plain,
( spl4_415
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X4,X2,X4)
| ~ s_t(X2,X4,X3)
| ~ s_t(X0,X4,X1)
| ~ s_m(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_415])]) ).
fof(f1643,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X4,X2,X4)
| ~ s_t(X2,X4,X3)
| ~ s_t(X0,X4,X1)
| ~ s_m(X1,X4,X3) )
| ~ spl4_49
| ~ spl4_156 ),
inference(resolution,[],[f1611,f670]) ).
fof(f7320,plain,
( spl4_414
| ~ spl4_49
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1627,f1606,f669,f7318]) ).
fof(f7318,plain,
( spl4_414
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X4)
| ~ s_t(X2,X1,X4)
| ~ s_t(X0,X1,X3)
| ~ s_m(X3,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_414])]) ).
fof(f1627,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X4)
| ~ s_t(X2,X1,X4)
| ~ s_t(X0,X1,X3)
| ~ s_m(X3,X1,X4) )
| ~ spl4_49
| ~ spl4_155 ),
inference(resolution,[],[f1607,f670]) ).
fof(f7316,plain,
( spl4_413
| ~ spl4_49
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1620,f1602,f669,f7314]) ).
fof(f7314,plain,
( spl4_413
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,X0,X4,X2)
| ~ sameside(X2,X4,X3)
| ~ sameside(X0,X4,X1)
| ~ s_m(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_413])]) ).
fof(f1620,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,X0,X4,X2)
| ~ sameside(X2,X4,X3)
| ~ sameside(X0,X4,X1)
| ~ s_m(X1,X4,X3) )
| ~ spl4_49
| ~ spl4_154 ),
inference(resolution,[],[f1603,f670]) ).
fof(f7312,plain,
( spl4_412
| ~ spl4_43
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1581,f1516,f598,f7310]) ).
fof(f1581,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X3,crossbar(X0,X5,X4,X2,X3,X1),X5) )
| ~ spl4_43
| ~ spl4_152 ),
inference(resolution,[],[f1517,f599]) ).
fof(f7308,plain,
( spl4_411
| ~ spl4_100
| ~ spl4_123 ),
inference(avatar_split_clause,[],[f1762,f1223,f1015,f7306]) ).
fof(f1762,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(sK0,X0,sK1) )
| ~ spl4_100
| ~ spl4_123 ),
inference(resolution,[],[f1224,f1016]) ).
fof(f7304,plain,
( spl4_410
| ~ spl4_35
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1580,f1516,f564,f7302]) ).
fof(f7302,plain,
( spl4_410
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(crossbar(X0,X5,X4,X2,X3,X1),X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_410])]) ).
fof(f1580,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(crossbar(X0,X5,X4,X2,X3,X1),X3,X5) )
| ~ spl4_35
| ~ spl4_152 ),
inference(resolution,[],[f1517,f565]) ).
fof(f7300,plain,
( spl4_409
| ~ spl4_34
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1579,f1516,f560,f7298]) ).
fof(f7298,plain,
( spl4_409
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X3,X5,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_409])]) ).
fof(f1579,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X3,X5,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_34
| ~ spl4_152 ),
inference(resolution,[],[f1517,f561]) ).
fof(f7296,plain,
( spl4_408
| ~ spl4_33
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1578,f1516,f556,f7294]) ).
fof(f7294,plain,
( spl4_408
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X5,crossbar(X0,X5,X4,X2,X3,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_408])]) ).
fof(f1578,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X5,crossbar(X0,X5,X4,X2,X3,X1),X3) )
| ~ spl4_33
| ~ spl4_152 ),
inference(resolution,[],[f1517,f557]) ).
fof(f7292,plain,
( spl4_407
| ~ spl4_43
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1562,f1512,f598,f7290]) ).
fof(f1562,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_t(X4,crossbar(X0,X5,X4,X2,X3,X1),X1) )
| ~ spl4_43
| ~ spl4_151 ),
inference(resolution,[],[f1513,f599]) ).
fof(f7288,plain,
( spl4_406
| ~ spl4_35
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1561,f1512,f564,f7286]) ).
fof(f7286,plain,
( spl4_406
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(crossbar(X0,X5,X4,X2,X3,X1),X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_406])]) ).
fof(f1561,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(crossbar(X0,X5,X4,X2,X3,X1),X4,X1) )
| ~ spl4_35
| ~ spl4_151 ),
inference(resolution,[],[f1513,f565]) ).
fof(f7284,plain,
( spl4_405
| ~ spl4_34
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1560,f1512,f560,f7282]) ).
fof(f7282,plain,
( spl4_405
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X4,X1,crossbar(X0,X5,X4,X2,X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_405])]) ).
fof(f1560,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X4,X1,crossbar(X0,X5,X4,X2,X3,X1)) )
| ~ spl4_34
| ~ spl4_151 ),
inference(resolution,[],[f1513,f561]) ).
fof(f7280,plain,
( spl4_404
| ~ spl4_33
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1559,f1512,f556,f7278]) ).
fof(f7278,plain,
( spl4_404
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X1,crossbar(X0,X5,X4,X2,X3,X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_404])]) ).
fof(f1559,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| s_col(X1,crossbar(X0,X5,X4,X2,X3,X1),X4) )
| ~ spl4_33
| ~ spl4_151 ),
inference(resolution,[],[f1513,f557]) ).
fof(f7276,plain,
( spl4_403
| ~ spl4_118
| ~ spl4_146 ),
inference(avatar_split_clause,[],[f1490,f1463,f1161,f7274]) ).
fof(f1463,plain,
( spl4_146
<=> ! [X4,X0,X3,X2,X1] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_146])]) ).
fof(f1490,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_t(X0,X1,X4) )
| ~ spl4_118
| ~ spl4_146 ),
inference(resolution,[],[f1464,f1162]) ).
fof(f1464,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) )
| ~ spl4_146 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f7272,plain,
( spl4_402
| ~ spl4_51
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1433,f1387,f677,f7270]) ).
fof(f7270,plain,
( spl4_402
<=> ! [X4,X0,X3,X2,X1] :
( ext(X0,X1,X2,X3) = ext(X4,X1,X2,X3)
| ~ s_t(X0,X1,ext(X4,X1,X2,X3))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_402])]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1,X4] :
( ext(X0,X1,X2,X3) = ext(X4,X1,X2,X3)
| ~ s_t(X0,X1,ext(X4,X1,X2,X3))
| X0 = X1 )
| ~ spl4_51
| ~ spl4_141 ),
inference(resolution,[],[f1388,f678]) ).
fof(f7268,plain,
( spl4_401
| ~ spl4_69
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1368,f1343,f810,f7266]) ).
fof(f7266,plain,
( spl4_401
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| sameside(X4,X3,X2)
| ~ sameside(X4,X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_401])]) ).
fof(f1368,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| X2 = X3
| sameside(X4,X3,X2)
| ~ sameside(X4,X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) )
| ~ spl4_69
| ~ spl4_136 ),
inference(resolution,[],[f1344,f811]) ).
fof(f6897,plain,
( ~ spl4_400
| spl4_158
| ~ spl4_65
| ~ spl4_386 ),
inference(avatar_split_clause,[],[f6771,f6670,f776,f1632,f6894]) ).
fof(f6670,plain,
( spl4_386
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| s(X3,X0) = s(X3,X1)
| ~ s_t(s(X3,X1),s(X3,X0),s(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_386])]) ).
fof(f6771,plain,
( s(sK3,sK1) = s(sK3,sK2)
| ~ s_t(sK1,sK2,sK0)
| ~ spl4_65
| ~ spl4_386 ),
inference(resolution,[],[f6671,f778]) ).
fof(f6671,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(s(X3,X1),s(X3,X0),s(X3,X2))
| s(X3,X0) = s(X3,X1)
| ~ s_t(X0,X1,X2) )
| ~ spl4_386 ),
inference(avatar_component_clause,[],[f6670]) ).
fof(f6736,plain,
( spl4_399
| ~ spl4_27
| ~ spl4_152 ),
inference(avatar_split_clause,[],[f1577,f1516,f525,f6734]) ).
fof(f1577,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X4)
| crossbar(X0,X3,X4,X2,X3,X1) = X3 )
| ~ spl4_27
| ~ spl4_152 ),
inference(resolution,[],[f1517,f526]) ).
fof(f6732,plain,
( spl4_398
| ~ spl4_27
| ~ spl4_151 ),
inference(avatar_split_clause,[],[f1558,f1512,f525,f6730]) ).
fof(f1558,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X4,X1)
| crossbar(X0,X4,X1,X2,X3,X1) = X1 )
| ~ spl4_27
| ~ spl4_151 ),
inference(resolution,[],[f1513,f526]) ).
fof(f6728,plain,
( spl4_397
| ~ spl4_49
| ~ spl4_150 ),
inference(avatar_split_clause,[],[f1555,f1508,f669,f6726]) ).
fof(f6726,plain,
( spl4_397
<=> ! [X4,X0,X3,X2,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_e(X3,X1,X3,X2)
| ~ s_col(X3,X4,X0)
| X3 = X4
| ~ s_m(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_397])]) ).
fof(f1555,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X0,X2)
| ~ s_e(X3,X1,X3,X2)
| ~ s_col(X3,X4,X0)
| X3 = X4
| ~ s_m(X1,X4,X2) )
| ~ spl4_49
| ~ spl4_150 ),
inference(resolution,[],[f1509,f670]) ).
fof(f6724,plain,
( spl4_396
| ~ spl4_73
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1324,f1276,f831,f6722]) ).
fof(f6722,plain,
( spl4_396
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,X4,X3)
| ~ s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_396])]) ).
fof(f1324,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,X4,X3)
| ~ s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_73
| ~ spl4_132 ),
inference(resolution,[],[f1277,f832]) ).
fof(f6708,plain,
( spl4_395
| ~ spl4_72
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1323,f1276,f827,f6706]) ).
fof(f1323,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ s_t(X4,X2,X3) )
| ~ spl4_72
| ~ spl4_132 ),
inference(resolution,[],[f1277,f828]) ).
fof(f6704,plain,
( spl4_394
| ~ spl4_70
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1321,f1276,f814,f6702]) ).
fof(f1321,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X4,X2,X3) )
| ~ spl4_70
| ~ spl4_132 ),
inference(resolution,[],[f1277,f815]) ).
fof(f6700,plain,
( spl4_393
| ~ spl4_73
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1309,f1264,f831,f6698]) ).
fof(f6698,plain,
( spl4_393
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X1,X5,X3)
| ~ s_t(X1,X5,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_393])]) ).
fof(f1309,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X1,X5,X3)
| ~ s_t(X1,X5,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_73
| ~ spl4_129 ),
inference(resolution,[],[f1265,f832]) ).
fof(f6696,plain,
( spl4_392
| ~ spl4_72
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1308,f1264,f827,f6694]) ).
fof(f1308,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,X1,ip(X3,X4,X2,X0,X1))
| ~ s_t(X5,X1,X3) )
| ~ spl4_72
| ~ spl4_129 ),
inference(resolution,[],[f1265,f828]) ).
fof(f6692,plain,
( spl4_391
| ~ spl4_70
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1306,f1264,f814,f6690]) ).
fof(f1306,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X3)
| ~ s_t(X5,X1,X3) )
| ~ spl4_70
| ~ spl4_129 ),
inference(resolution,[],[f1265,f815]) ).
fof(f6688,plain,
( spl4_390
| ~ spl4_73
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1294,f1260,f831,f6686]) ).
fof(f6686,plain,
( spl4_390
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X4,X5,X0)
| ~ s_t(X4,X5,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_390])]) ).
fof(f1294,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X4,X5,X0)
| ~ s_t(X4,X5,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_73
| ~ spl4_128 ),
inference(resolution,[],[f1261,f832]) ).
fof(f6684,plain,
( spl4_389
| ~ spl4_72
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1293,f1260,f827,f6682]) ).
fof(f1293,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,X4,ip(X3,X4,X2,X0,X1))
| ~ s_t(X5,X4,X0) )
| ~ spl4_72
| ~ spl4_128 ),
inference(resolution,[],[f1261,f828]) ).
fof(f6680,plain,
( spl4_388
| ~ spl4_70
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1291,f1260,f814,f6678]) ).
fof(f1291,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X5,ip(X3,X4,X2,X0,X1),X0)
| ~ s_t(X5,X4,X0) )
| ~ spl4_70
| ~ spl4_128 ),
inference(resolution,[],[f1261,f815]) ).
fof(f6676,plain,
( spl4_387
| ~ spl4_86
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1252,f1231,f934,f6674]) ).
fof(f6674,plain,
( spl4_387
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,ins(X3,X4,X0,X2))
| ~ le(X0,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_387])]) ).
fof(f1252,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,ins(X3,X4,X0,X2))
| ~ le(X0,X2,X3,X4) )
| ~ spl4_86
| ~ spl4_125 ),
inference(resolution,[],[f1232,f935]) ).
fof(f6672,plain,
( spl4_386
| ~ spl4_63
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1111,f1015,f768,f6670]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s(X3,X0) = s(X3,X1)
| ~ s_t(s(X3,X1),s(X3,X0),s(X3,X2)) )
| ~ spl4_63
| ~ spl4_100 ),
inference(resolution,[],[f1016,f769]) ).
fof(f6668,plain,
( spl4_385
| ~ spl4_148
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4407,f4213,f1471,f6666]) ).
fof(f6666,plain,
( spl4_385
<=> ! [X0] :
( le(X0,sK1,s(sK3,X0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_385])]) ).
fof(f1471,plain,
( spl4_148
<=> ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,sK0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_148])]) ).
fof(f4407,plain,
( ! [X0] :
( le(X0,sK1,s(sK3,X0),s(sK3,sK2))
| ~ s_t(X0,sK0,sK2) )
| ~ spl4_148
| ~ spl4_290 ),
inference(resolution,[],[f4214,f1472]) ).
fof(f1472,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,sK0,sK2) )
| ~ spl4_148 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f6664,plain,
( spl4_384
| ~ spl4_81
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1098,f1011,f914,f6662]) ).
fof(f914,plain,
( spl4_81
<=> ! [X2,X0,X1] :
( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| s_m(ins(X0,X2,X0,X1),X0,X2)
| ~ s_t(ins(X0,X2,X0,X1),X0,X2) )
| ~ spl4_81
| ~ spl4_99 ),
inference(resolution,[],[f1012,f915]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( ~ s_e(X1,X0,X1,X2)
| s_m(X0,X1,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_81 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f6660,plain,
( spl4_383
| ~ spl4_70
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f993,f934,f814,f6658]) ).
fof(f6658,plain,
( spl4_383
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X1,ins(X2,X3,X0,X1))
| ~ s_t(X4,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_383])]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X1,ins(X2,X3,X0,X1))
| ~ s_t(X4,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_70
| ~ spl4_86 ),
inference(resolution,[],[f935,f815]) ).
fof(f6387,plain,
( spl4_382
| ~ spl4_51
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1501,f1467,f677,f6385]) ).
fof(f6385,plain,
( spl4_382
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| ~ s_t(X2,X3,ext(X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_382])]) ).
fof(f1501,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| ~ s_t(X2,X3,ext(X4,X2,X0,X1)) )
| ~ spl4_51
| ~ spl4_147 ),
inference(resolution,[],[f1468,f678]) ).
fof(f6383,plain,
( spl4_381
| ~ spl4_49
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1499,f1467,f669,f6381]) ).
fof(f6381,plain,
( spl4_381
<=> ! [X0,X3,X2,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X3)
| ~ s_m(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_381])]) ).
fof(f1499,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X3)
| ~ s_m(X3,X0,X1) )
| ~ spl4_49
| ~ spl4_147 ),
inference(resolution,[],[f1468,f670]) ).
fof(f6379,plain,
( spl4_380
| ~ spl4_59
| ~ spl4_143 ),
inference(avatar_split_clause,[],[f1450,f1440,f721,f6377]) ).
fof(f6377,plain,
( spl4_380
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X5,X6,X7)
| le(X6,X7,X2,X3)
| le(X0,X1,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_380])]) ).
fof(f1450,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X5,X6,X7)
| le(X6,X7,X2,X3)
| le(X0,X1,X4,X5) )
| ~ spl4_59
| ~ spl4_143 ),
inference(resolution,[],[f1441,f722]) ).
fof(f6375,plain,
( spl4_379
| ~ spl4_86
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1195,f1149,f934,f6373]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| s_t(X2,X0,ins(X3,X4,X0,X1))
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) )
| ~ spl4_86
| ~ spl4_115 ),
inference(resolution,[],[f1150,f935]) ).
fof(f6371,plain,
( spl4_378
| ~ spl4_86
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1186,f1145,f934,f6369]) ).
fof(f1186,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| s_t(X2,X1,ins(X3,X4,X0,X1))
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X3,X4) )
| ~ spl4_86
| ~ spl4_114 ),
inference(resolution,[],[f1146,f935]) ).
fof(f6367,plain,
( spl4_377
| ~ spl4_73
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1115,f1015,f831,f6365]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),X4,s(X3,X2))
| ~ s_t(s(X3,X0),X4,s(X3,X1)) )
| ~ spl4_73
| ~ spl4_100 ),
inference(resolution,[],[f1016,f832]) ).
fof(f6363,plain,
( ~ spl4_376
| ~ spl4_241
| spl4_359 ),
inference(avatar_split_clause,[],[f6199,f5890,f2992,f6360]) ).
fof(f6360,plain,
( spl4_376
<=> s_t(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_376])]) ).
fof(f6199,plain,
( ~ s_t(sK0,sK3,sK2)
| ~ spl4_241
| spl4_359 ),
inference(resolution,[],[f5891,f2993]) ).
fof(f6358,plain,
( spl4_375
| ~ spl4_72
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1114,f1015,f827,f6356]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X0),s(X4,X1))
| ~ s_t(X3,s(X4,X0),s(X4,X2)) )
| ~ spl4_72
| ~ spl4_100 ),
inference(resolution,[],[f1016,f828]) ).
fof(f6354,plain,
( spl4_374
| ~ spl4_71
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1113,f1015,f818,f6352]) ).
fof(f1113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(s(X4,X0),X3,s(X4,X1)) )
| ~ spl4_71
| ~ spl4_100 ),
inference(resolution,[],[f1016,f819]) ).
fof(f6350,plain,
( spl4_373
| ~ spl4_70
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1112,f1015,f814,f6348]) ).
fof(f1112,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| s_t(X3,s(X4,X1),s(X4,X2))
| ~ s_t(X3,s(X4,X0),s(X4,X2)) )
| ~ spl4_70
| ~ spl4_100 ),
inference(resolution,[],[f1016,f815]) ).
fof(f6346,plain,
( spl4_372
| ~ spl4_67
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1099,f1011,f802,f6344]) ).
fof(f1099,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| ins(X0,X2,X0,X1) = X2
| ~ s_t(X0,X2,ins(X0,X2,X0,X1)) )
| ~ spl4_67
| ~ spl4_99 ),
inference(resolution,[],[f1012,f803]) ).
fof(f6342,plain,
( spl4_371
| ~ spl4_62
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1091,f1007,f764,f6340]) ).
fof(f6340,plain,
( spl4_371
<=> ! [X2,X0,X1] :
( X0 = X1
| c63(X2,X1,X0) = X0
| sameside(c63(X2,X1,X0),X0,X1)
| ~ sameside(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_371])]) ).
fof(f1091,plain,
( ! [X2,X0,X1] :
( X0 = X1
| c63(X2,X1,X0) = X0
| sameside(c63(X2,X1,X0),X0,X1)
| ~ sameside(X2,X1,X0) )
| ~ spl4_62
| ~ spl4_98 ),
inference(resolution,[],[f1008,f765]) ).
fof(f6338,plain,
( spl4_370
| ~ spl4_61
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1090,f1007,f760,f6336]) ).
fof(f6336,plain,
( spl4_370
<=> ! [X2,X0,X1] :
( X0 = X1
| c63(X0,X1,X2) = X0
| sameside(c63(X0,X1,X2),X0,X1)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_370])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( X0 = X1
| c63(X0,X1,X2) = X0
| sameside(c63(X0,X1,X2),X0,X1)
| ~ sameside(X0,X1,X2) )
| ~ spl4_61
| ~ spl4_98 ),
inference(resolution,[],[f1008,f761]) ).
fof(f6084,plain,
( spl4_369
| ~ spl4_16
| ~ spl4_160 ),
inference(avatar_split_clause,[],[f1662,f1655,f480,f6082]) ).
fof(f480,plain,
( spl4_16
<=> ! [X0,X1] : le(X0,X1,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f1662,plain,
( ! [X0,X1] : ins(X0,X1,X0,X1) = ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1)
| ~ spl4_16
| ~ spl4_160 ),
inference(resolution,[],[f1656,f481]) ).
fof(f481,plain,
( ! [X0,X1] : le(X0,X1,X0,X1)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f6080,plain,
( spl4_368
| ~ spl4_75
| ~ spl4_146 ),
inference(avatar_split_clause,[],[f1493,f1463,f839,f6078]) ).
fof(f6078,plain,
( spl4_368
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_e(X0,X4,X2,insert5(X0,X1,X4,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_368])]) ).
fof(f839,plain,
( spl4_75
<=> ! [X3,X4,X0,X5,X2,X1] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_e(X0,X4,X2,insert5(X0,X1,X4,X2,X3)) )
| ~ spl4_75
| ~ spl4_146 ),
inference(resolution,[],[f1464,f840]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_e(X0,X2,X3,X5) )
| ~ spl4_75 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f6076,plain,
( spl4_367
| ~ spl4_76
| ~ spl4_146 ),
inference(avatar_split_clause,[],[f1492,f1463,f843,f6074]) ).
fof(f6074,plain,
( spl4_367
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_e(X1,X4,X3,insert5(X0,X1,X4,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_367])]) ).
fof(f1492,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_e(X1,X4,X3,insert5(X0,X1,X4,X2,X3)) )
| ~ spl4_76
| ~ spl4_146 ),
inference(resolution,[],[f1464,f844]) ).
fof(f6072,plain,
( spl4_366
| ~ spl4_49
| ~ spl4_142 ),
inference(avatar_split_clause,[],[f1446,f1436,f669,f6070]) ).
fof(f6070,plain,
( spl4_366
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ s_e(X2,X0,X2,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| ~ s_m(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_366])]) ).
fof(f1446,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ s_e(X2,X0,X2,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| ~ s_m(X0,X3,X1) )
| ~ spl4_49
| ~ spl4_142 ),
inference(resolution,[],[f1437,f670]) ).
fof(f6068,plain,
( spl4_365
| ~ spl4_62
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1254,f1231,f764,f6066]) ).
fof(f6066,plain,
( spl4_365
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,c63(X3,X2,X0))
| ~ sameside(X3,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_365])]) ).
fof(f1254,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,c63(X3,X2,X0))
| ~ sameside(X3,X2,X0) )
| ~ spl4_62
| ~ spl4_125 ),
inference(resolution,[],[f1232,f765]) ).
fof(f6064,plain,
( spl4_364
| ~ spl4_61
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1253,f1231,f760,f6062]) ).
fof(f6062,plain,
( spl4_364
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,c63(X0,X2,X3))
| ~ sameside(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_364])]) ).
fof(f1253,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,c63(X0,X2,X3))
| ~ sameside(X0,X2,X3) )
| ~ spl4_61
| ~ spl4_125 ),
inference(resolution,[],[f1232,f761]) ).
fof(f6060,plain,
( spl4_363
| ~ spl4_99
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1221,f1177,f1011,f6058]) ).
fof(f6058,plain,
( spl4_363
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ins(X2,X3,X4,X5),X0,X1)
| ~ le(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_363])]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ins(X2,X3,X4,X5),X0,X1)
| ~ le(X4,X5,X2,X3) )
| ~ spl4_99
| ~ spl4_122 ),
inference(resolution,[],[f1178,f1012]) ).
fof(f6056,plain,
( spl4_362
| ~ spl4_99
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1214,f1173,f1011,f6054]) ).
fof(f6054,plain,
( spl4_362
<=> ! [X5,X4,X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ins(X2,X3,X4,X5))
| ~ le(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_362])]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ins(X2,X3,X4,X5))
| ~ le(X4,X5,X2,X3) )
| ~ spl4_99
| ~ spl4_121 ),
inference(resolution,[],[f1174,f1012]) ).
fof(f6052,plain,
( spl4_361
| ~ spl4_86
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1081,f1003,f934,f6050]) ).
fof(f6050,plain,
( spl4_361
<=> ! [X0,X3,X2,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_361])]) ).
fof(f1081,plain,
( ! [X2,X3,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) )
| ~ spl4_86
| ~ spl4_97 ),
inference(resolution,[],[f1004,f935]) ).
fof(f5897,plain,
( spl4_359
| ~ spl4_360
| ~ spl4_137
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f3179,f2992,f1347,f5894,f5890]) ).
fof(f3179,plain,
( ~ s_t(sK0,sK3,sK1)
| s_t(s(sK3,sK0),sK3,s(sK3,sK2))
| ~ spl4_137
| ~ spl4_241 ),
inference(resolution,[],[f2993,f1348]) ).
fof(f5425,plain,
( ~ spl4_358
| ~ spl4_240
| spl4_329 ),
inference(avatar_split_clause,[],[f5364,f5229,f2988,f5422]) ).
fof(f5364,plain,
( ~ s_t(sK3,sK0,sK1)
| ~ spl4_240
| spl4_329 ),
inference(resolution,[],[f5230,f2989]) ).
fof(f5402,plain,
( spl4_357
| ~ spl4_18
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1649,f1614,f488,f5400]) ).
fof(f5400,plain,
( spl4_357
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_357])]) ).
fof(f1649,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X2,X1) )
| ~ spl4_18
| ~ spl4_157 ),
inference(resolution,[],[f1615,f489]) ).
fof(f5398,plain,
( spl4_356
| ~ spl4_17
| ~ spl4_157 ),
inference(avatar_split_clause,[],[f1648,f1614,f484,f5396]) ).
fof(f5396,plain,
( spl4_356
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_e(X0,X3,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_356])]) ).
fof(f1648,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_e(X0,X3,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X3,X1) )
| ~ spl4_17
| ~ spl4_157 ),
inference(resolution,[],[f1615,f485]) ).
fof(f5394,plain,
( spl4_355
| ~ spl4_18
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1642,f1610,f488,f5392]) ).
fof(f5392,plain,
( spl4_355
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X3)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_355])]) ).
fof(f1642,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X3)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X3,X1) )
| ~ spl4_18
| ~ spl4_156 ),
inference(resolution,[],[f1611,f489]) ).
fof(f5390,plain,
( spl4_354
| ~ spl4_17
| ~ spl4_156 ),
inference(avatar_split_clause,[],[f1641,f1610,f484,f5388]) ).
fof(f5388,plain,
( spl4_354
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X3,X2,X1)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_354])]) ).
fof(f1641,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X3,X2,X1)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X3,X1) )
| ~ spl4_17
| ~ spl4_156 ),
inference(resolution,[],[f1611,f485]) ).
fof(f5386,plain,
( spl4_353
| ~ spl4_18
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1626,f1606,f488,f5384]) ).
fof(f5384,plain,
( spl4_353
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_353])]) ).
fof(f1626,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X0,X3,X2,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3) )
| ~ spl4_18
| ~ spl4_155 ),
inference(resolution,[],[f1607,f489]) ).
fof(f5382,plain,
( spl4_352
| ~ spl4_17
| ~ spl4_155 ),
inference(avatar_split_clause,[],[f1625,f1606,f484,f5380]) ).
fof(f5380,plain,
( spl4_352
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X3,X2,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_352])]) ).
fof(f1625,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X3,X2,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,X3) )
| ~ spl4_17
| ~ spl4_155 ),
inference(resolution,[],[f1607,f485]) ).
fof(f5378,plain,
( spl4_351
| ~ spl4_18
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1619,f1602,f488,f5376]) ).
fof(f5376,plain,
( spl4_351
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X3,X0,X3,X2)
| ~ sameside(X2,X3,X1)
| ~ sameside(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_351])]) ).
fof(f1619,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_e(X3,X0,X3,X2)
| ~ sameside(X2,X3,X1)
| ~ sameside(X0,X3,X1) )
| ~ spl4_18
| ~ spl4_154 ),
inference(resolution,[],[f1603,f489]) ).
fof(f5374,plain,
( spl4_350
| ~ spl4_17
| ~ spl4_154 ),
inference(avatar_split_clause,[],[f1618,f1602,f484,f5372]) ).
fof(f5372,plain,
( spl4_350
<=> ! [X0,X3,X2,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X3,X0,X1,X2)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_350])]) ).
fof(f1618,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X3,X0,X1,X2)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X3,X1) )
| ~ spl4_17
| ~ spl4_154 ),
inference(resolution,[],[f1603,f485]) ).
fof(f5370,plain,
( spl4_349
| ~ spl4_9
| ~ spl4_149 ),
inference(avatar_split_clause,[],[f1523,f1504,f452,f5368]) ).
fof(f1523,plain,
( ! [X2,X3,X0,X1] :
( s_col(X0,X1,X2)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 )
| ~ spl4_9
| ~ spl4_149 ),
inference(resolution,[],[f1505,f453]) ).
fof(f5363,plain,
( spl4_348
| ~ spl4_117
| ~ spl4_146 ),
inference(avatar_split_clause,[],[f1495,f1463,f1157,f5361]) ).
fof(f5361,plain,
( spl4_348
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_col(X2,X3,insert5(X0,X1,X4,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_348])]) ).
fof(f1495,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_col(X2,X3,insert5(X0,X1,X4,X2,X3)) )
| ~ spl4_117
| ~ spl4_146 ),
inference(duplicate_literal_removal,[],[f1491]) ).
fof(f1491,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| s_col(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4) )
| ~ spl4_117
| ~ spl4_146 ),
inference(resolution,[],[f1464,f1158]) ).
fof(f5359,plain,
( spl4_347
| ~ spl4_48
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1432,f1387,f665,f5357]) ).
fof(f1432,plain,
( ! [X2,X3,X0,X1] :
( ext(X0,X1,s(X2,X1),s(X2,X3)) = X3
| ~ s_t(X0,X1,X3)
| X0 = X1 )
| ~ spl4_48
| ~ spl4_141 ),
inference(resolution,[],[f1388,f666]) ).
fof(f5355,plain,
( spl4_346
| ~ spl4_49
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1431,f1387,f669,f5353]) ).
fof(f5353,plain,
( spl4_346
<=> ! [X0,X3,X2,X1] :
( ext(X0,X1,X1,X2) = X3
| ~ s_t(X0,X1,X3)
| X0 = X1
| ~ s_m(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_346])]) ).
fof(f1431,plain,
( ! [X2,X3,X0,X1] :
( ext(X0,X1,X1,X2) = X3
| ~ s_t(X0,X1,X3)
| X0 = X1
| ~ s_m(X3,X1,X2) )
| ~ spl4_49
| ~ spl4_141 ),
inference(resolution,[],[f1388,f670]) ).
fof(f5351,plain,
( spl4_345
| ~ spl4_31
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1372,f1343,f548,f5349]) ).
fof(f5349,plain,
( spl4_345
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| s_col(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_345])]) ).
fof(f548,plain,
( spl4_31
<=> ! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f1372,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X2 = X3
| s_col(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X2) )
| ~ spl4_31
| ~ spl4_136 ),
inference(resolution,[],[f1344,f549]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X0,X1,X2) )
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f5347,plain,
( spl4_344
| ~ spl4_32
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1371,f1343,f552,f5345]) ).
fof(f5345,plain,
( spl4_344
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| ~ s_t(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_344])]) ).
fof(f1371,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X2 = X3
| ~ s_t(ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X3,X2) )
| ~ spl4_32
| ~ spl4_136 ),
inference(resolution,[],[f1344,f553]) ).
fof(f5343,plain,
( spl4_343
| ~ spl4_37
| ~ spl4_136 ),
inference(avatar_split_clause,[],[f1370,f1343,f572,f5341]) ).
fof(f5341,plain,
( spl4_343
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X2 = X3
| sameside(X2,X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_343])]) ).
fof(f1370,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X2 = X3
| sameside(X2,X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1)) )
| ~ spl4_37
| ~ spl4_136 ),
inference(resolution,[],[f1344,f573]) ).
fof(f5339,plain,
( spl4_342
| ~ spl4_59
| ~ spl4_133 ),
inference(avatar_split_clause,[],[f1351,f1331,f721,f5337]) ).
fof(f5337,plain,
( spl4_342
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| le(X0,X2,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_342])]) ).
fof(f1331,plain,
( spl4_133
<=> ! [X2,X0,X1] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_133])]) ).
fof(f1351,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| le(X0,X2,X1,X2) )
| ~ spl4_59
| ~ spl4_133 ),
inference(resolution,[],[f1332,f722]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) )
| ~ spl4_133 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f5335,plain,
( spl4_341
| ~ spl4_84
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1206,f1165,f926,f5333]) ).
fof(f5333,plain,
( spl4_341
<=> ! [X4,X0,X3,X2,X1] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X3)
| ~ s_t(X2,X4,X3)
| ~ s_col(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_341])]) ).
fof(f1206,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X3)
| ~ s_t(X2,X4,X3)
| ~ s_col(X2,X4,X3) )
| ~ spl4_84
| ~ spl4_119 ),
inference(resolution,[],[f1166,f927]) ).
fof(f5331,plain,
( spl4_340
| ~ spl4_84
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1201,f1153,f926,f5329]) ).
fof(f5329,plain,
( spl4_340
<=> ! [X2,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ le(X0,X1,X2,X1)
| ~ s_t(X0,X2,X1)
| ~ s_col(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_340])]) ).
fof(f1201,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ le(X0,X1,X2,X1)
| ~ s_t(X0,X2,X1)
| ~ s_col(X0,X2,X1) )
| ~ spl4_84
| ~ spl4_116 ),
inference(resolution,[],[f1154,f927]) ).
fof(f5327,plain,
( spl4_339
| ~ spl4_62
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1197,f1149,f764,f5325]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| s_t(X2,X0,c63(X3,X1,X0))
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) )
| ~ spl4_62
| ~ spl4_115 ),
inference(resolution,[],[f1150,f765]) ).
fof(f5323,plain,
( spl4_338
| ~ spl4_61
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1196,f1149,f760,f5321]) ).
fof(f1196,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| s_t(X2,X0,c63(X0,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) )
| ~ spl4_61
| ~ spl4_115 ),
inference(resolution,[],[f1150,f761]) ).
fof(f5319,plain,
( spl4_337
| ~ spl4_62
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1188,f1145,f764,f5317]) ).
fof(f1188,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| s_t(X2,X1,c63(X3,X1,X0))
| ~ s_t(X2,X0,X1)
| ~ sameside(X3,X1,X0) )
| ~ spl4_62
| ~ spl4_114 ),
inference(resolution,[],[f1146,f765]) ).
fof(f5315,plain,
( spl4_336
| ~ spl4_61
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1187,f1145,f760,f5313]) ).
fof(f1187,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| s_t(X2,X1,c63(X0,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,X3) )
| ~ spl4_61
| ~ spl4_114 ),
inference(resolution,[],[f1146,f761]) ).
fof(f5311,plain,
( spl4_335
| ~ spl4_99
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1137,f1023,f1011,f5309]) ).
fof(f1137,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ins(X2,X3,X0,X4))
| le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3) )
| ~ spl4_99
| ~ spl4_102 ),
inference(resolution,[],[f1024,f1012]) ).
fof(f5307,plain,
( spl4_334
| ~ spl4_99
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1130,f1019,f1011,f5305]) ).
fof(f5305,plain,
( spl4_334
<=> ! [X2,X4,X0,X3,X1] :
( le(X0,ins(X1,X2,X0,X3),X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_334])]) ).
fof(f1130,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,ins(X1,X2,X0,X3),X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2) )
| ~ spl4_99
| ~ spl4_101 ),
inference(resolution,[],[f1020,f1012]) ).
fof(f5303,plain,
( spl4_333
| ~ spl4_45
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1088,f1007,f606,f5301]) ).
fof(f5301,plain,
( spl4_333
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ext(X0,X1,X2,X3) = X0
| sameside(ext(X0,X1,X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_333])]) ).
fof(f1088,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ext(X0,X1,X2,X3) = X0
| sameside(ext(X0,X1,X2,X3),X0,X1) )
| ~ spl4_45
| ~ spl4_98 ),
inference(resolution,[],[f1008,f607]) ).
fof(f5299,plain,
( spl4_332
| ~ spl4_62
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f885,f814,f764,f5297]) ).
fof(f5297,plain,
( spl4_332
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X0,X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_332])]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X0,X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3) )
| ~ spl4_62
| ~ spl4_70 ),
inference(resolution,[],[f815,f765]) ).
fof(f5295,plain,
( spl4_331
| ~ spl4_61
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f884,f814,f760,f5293]) ).
fof(f5293,plain,
( spl4_331
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X0,X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_331])]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X0,X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3) )
| ~ spl4_61
| ~ spl4_70 ),
inference(resolution,[],[f815,f761]) ).
fof(f5236,plain,
( spl4_329
| ~ spl4_330
| ~ spl4_131
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f3140,f2988,f1272,f5233,f5229]) ).
fof(f3140,plain,
( ~ s_t(sK3,sK0,sK2)
| s_t(sK3,s(sK3,sK0),s(sK3,sK1))
| ~ spl4_131
| ~ spl4_240 ),
inference(resolution,[],[f2989,f1273]) ).
fof(f4966,plain,
( spl4_328
| ~ spl4_43
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1319,f1276,f598,f4964]) ).
fof(f1319,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X3,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2) )
| ~ spl4_43
| ~ spl4_132 ),
inference(resolution,[],[f1277,f599]) ).
fof(f4962,plain,
( spl4_327
| ~ spl4_35
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1318,f1276,f564,f4960]) ).
fof(f4960,plain,
( spl4_327
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_327])]) ).
fof(f1318,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X2) )
| ~ spl4_35
| ~ spl4_132 ),
inference(resolution,[],[f1277,f565]) ).
fof(f4958,plain,
( spl4_326
| ~ spl4_34
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1317,f1276,f560,f4956]) ).
fof(f4956,plain,
( spl4_326
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_326])]) ).
fof(f1317,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) )
| ~ spl4_34
| ~ spl4_132 ),
inference(resolution,[],[f1277,f561]) ).
fof(f4954,plain,
( spl4_325
| ~ spl4_33
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1316,f1276,f556,f4952]) ).
fof(f4952,plain,
( spl4_325
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_325])]) ).
fof(f1316,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) )
| ~ spl4_33
| ~ spl4_132 ),
inference(resolution,[],[f1277,f557]) ).
fof(f4950,plain,
( spl4_324
| ~ spl4_43
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1304,f1264,f598,f4948]) ).
fof(f1304,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X3,ip(X3,X4,X2,X0,X1),X1) )
| ~ spl4_43
| ~ spl4_129 ),
inference(resolution,[],[f1265,f599]) ).
fof(f4946,plain,
( ~ spl4_323
| ~ spl4_32
| ~ spl4_271 ),
inference(avatar_split_clause,[],[f4233,f3470,f552,f4943]) ).
fof(f4943,plain,
( spl4_323
<=> s_t(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_323])]) ).
fof(f4233,plain,
( ~ s_t(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_32
| ~ spl4_271 ),
inference(resolution,[],[f3472,f553]) ).
fof(f4941,plain,
( spl4_322
| ~ spl4_35
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1303,f1264,f564,f4939]) ).
fof(f4939,plain,
( spl4_322
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(ip(X3,X4,X2,X0,X1),X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_322])]) ).
fof(f1303,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(ip(X3,X4,X2,X0,X1),X3,X1) )
| ~ spl4_35
| ~ spl4_129 ),
inference(resolution,[],[f1265,f565]) ).
fof(f4937,plain,
( spl4_321
| ~ spl4_34
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1302,f1264,f560,f4935]) ).
fof(f4935,plain,
( spl4_321
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X3,X1,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_321])]) ).
fof(f1302,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X3,X1,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_34
| ~ spl4_129 ),
inference(resolution,[],[f1265,f561]) ).
fof(f4933,plain,
( spl4_320
| ~ spl4_33
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1301,f1264,f556,f4931]) ).
fof(f4931,plain,
( spl4_320
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X1,ip(X3,X4,X2,X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_320])]) ).
fof(f1301,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X1,ip(X3,X4,X2,X0,X1),X3) )
| ~ spl4_33
| ~ spl4_129 ),
inference(resolution,[],[f1265,f557]) ).
fof(f4929,plain,
( spl4_319
| ~ spl4_43
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1289,f1260,f598,f4927]) ).
fof(f1289,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_t(X0,ip(X3,X4,X2,X0,X1),X4) )
| ~ spl4_43
| ~ spl4_128 ),
inference(resolution,[],[f1261,f599]) ).
fof(f4925,plain,
( spl4_318
| ~ spl4_35
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1288,f1260,f564,f4923]) ).
fof(f4923,plain,
( spl4_318
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(ip(X3,X4,X2,X0,X1),X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_318])]) ).
fof(f1288,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(ip(X3,X4,X2,X0,X1),X0,X4) )
| ~ spl4_35
| ~ spl4_128 ),
inference(resolution,[],[f1261,f565]) ).
fof(f4921,plain,
( spl4_317
| ~ spl4_34
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1287,f1260,f560,f4919]) ).
fof(f4919,plain,
( spl4_317
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X0,X4,ip(X3,X4,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_317])]) ).
fof(f1287,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X0,X4,ip(X3,X4,X2,X0,X1)) )
| ~ spl4_34
| ~ spl4_128 ),
inference(resolution,[],[f1261,f561]) ).
fof(f4917,plain,
( spl4_316
| ~ spl4_33
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1286,f1260,f556,f4915]) ).
fof(f4915,plain,
( spl4_316
<=> ! [X4,X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X4,ip(X3,X4,X2,X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_316])]) ).
fof(f1286,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| s_col(X4,ip(X3,X4,X2,X0,X1),X0) )
| ~ spl4_33
| ~ spl4_128 ),
inference(resolution,[],[f1261,f557]) ).
fof(f4913,plain,
( spl4_315
| ~ spl4_62
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1083,f1003,f764,f4911]) ).
fof(f4911,plain,
( spl4_315
<=> ! [X2,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,c63(X2,X1,X0))
| ~ sameside(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_315])]) ).
fof(f1083,plain,
( ! [X2,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,c63(X2,X1,X0))
| ~ sameside(X2,X1,X0) )
| ~ spl4_62
| ~ spl4_97 ),
inference(resolution,[],[f1004,f765]) ).
fof(f4909,plain,
( spl4_314
| ~ spl4_61
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1082,f1003,f760,f4907]) ).
fof(f4907,plain,
( spl4_314
<=> ! [X2,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_314])]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
| ~ spl4_61
| ~ spl4_97 ),
inference(resolution,[],[f1004,f761]) ).
fof(f4905,plain,
( spl4_313
| ~ spl4_73
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f996,f934,f831,f4903]) ).
fof(f996,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ~ s_t(X0,X4,X1) )
| ~ spl4_73
| ~ spl4_86 ),
inference(resolution,[],[f935,f832]) ).
fof(f4896,plain,
( spl4_312
| ~ spl4_72
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f995,f934,f827,f4894]) ).
fof(f4894,plain,
( spl4_312
<=> ! [X4,X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X0,X1)
| ~ s_t(X4,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_312])]) ).
fof(f995,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X0,X1)
| ~ s_t(X4,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_72
| ~ spl4_86 ),
inference(resolution,[],[f935,f828]) ).
fof(f4892,plain,
( spl4_311
| ~ spl4_71
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f994,f934,f818,f4890]) ).
fof(f994,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ le(X0,X1,X2,X3)
| s_t(X4,X1,ins(X2,X3,X0,X1))
| ~ s_t(X0,X4,X1) )
| ~ spl4_71
| ~ spl4_86 ),
inference(resolution,[],[f935,f819]) ).
fof(f4769,plain,
( spl4_310
| ~ spl4_235
| ~ spl4_306 ),
inference(avatar_split_clause,[],[f4614,f4611,f2796,f4767]) ).
fof(f4767,plain,
( spl4_310
<=> ! [X2,X0,X1] :
( s_t(X0,ext(ins(alpha,gamma,X0,X0),X0,X1,X2),X0)
| ~ s_t(X1,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_310])]) ).
fof(f4611,plain,
( spl4_306
<=> ! [X2,X0,X1] :
( s_t(X0,ext(ext(X0,X0,alpha,gamma),X0,X1,X2),X0)
| ~ s_t(X1,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_306])]) ).
fof(f4614,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ins(alpha,gamma,X0,X0),X0,X1,X2),X0)
| ~ s_t(X1,X2,X1) )
| ~ spl4_235
| ~ spl4_306 ),
inference(forward_demodulation,[],[f4612,f2797]) ).
fof(f4612,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X0,X0,alpha,gamma),X0,X1,X2),X0)
| ~ s_t(X1,X2,X1) )
| ~ spl4_306 ),
inference(avatar_component_clause,[],[f4611]) ).
fof(f4765,plain,
( spl4_309
| ~ spl4_235
| ~ spl4_305 ),
inference(avatar_split_clause,[],[f4609,f4606,f2796,f4763]) ).
fof(f4763,plain,
( spl4_309
<=> ! [X2,X0,X1] :
( ext(ins(alpha,gamma,X2,X2),X2,X0,X1) = X2
| ~ le(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_309])]) ).
fof(f4606,plain,
( spl4_305
<=> ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ext(ext(X2,X2,alpha,gamma),X2,X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_305])]) ).
fof(f4609,plain,
( ! [X2,X0,X1] :
( ext(ins(alpha,gamma,X2,X2),X2,X0,X1) = X2
| ~ le(X0,X1,X2,X2) )
| ~ spl4_235
| ~ spl4_305 ),
inference(forward_demodulation,[],[f4607,f2797]) ).
fof(f4607,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ext(ext(X2,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ spl4_305 ),
inference(avatar_component_clause,[],[f4606]) ).
fof(f4622,plain,
( spl4_308
| ~ spl4_18
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1498,f1467,f488,f4620]) ).
fof(f1498,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X1) )
| ~ spl4_18
| ~ spl4_147 ),
inference(resolution,[],[f1468,f489]) ).
fof(f4618,plain,
( spl4_307
| ~ spl4_17
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1497,f1467,f484,f4616]) ).
fof(f1497,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1)
| ~ s_t(X1,X2,X0) )
| ~ spl4_17
| ~ spl4_147 ),
inference(resolution,[],[f1468,f485]) ).
fof(f4613,plain,
( spl4_306
| ~ spl4_19
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f1496,f1467,f492,f4611]) ).
fof(f1496,plain,
( ! [X2,X0,X1] :
( s_t(X0,ext(ext(X0,X0,alpha,gamma),X0,X1,X2),X0)
| ~ s_t(X1,X2,X1) )
| ~ spl4_19
| ~ spl4_147 ),
inference(resolution,[],[f1468,f493]) ).
fof(f4608,plain,
( spl4_305
| ~ spl4_27
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1315,f1276,f525,f4606]) ).
fof(f1315,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ext(ext(X2,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ spl4_27
| ~ spl4_132 ),
inference(resolution,[],[f1277,f526]) ).
fof(f4604,plain,
( spl4_304
| ~ spl4_27
| ~ spl4_129 ),
inference(avatar_split_clause,[],[f1300,f1264,f525,f4602]) ).
fof(f1300,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X3,X2)
| ip(X1,X3,X2,X0,X1) = X1 )
| ~ spl4_27
| ~ spl4_129 ),
inference(resolution,[],[f1265,f526]) ).
fof(f4600,plain,
( spl4_303
| ~ spl4_65
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4406,f4213,f776,f4597]) ).
fof(f4597,plain,
( spl4_303
<=> le(sK2,sK1,s(sK3,sK2),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_303])]) ).
fof(f4406,plain,
( le(sK2,sK1,s(sK3,sK2),s(sK3,sK0))
| ~ spl4_65
| ~ spl4_290 ),
inference(resolution,[],[f4214,f778]) ).
fof(f4595,plain,
( spl4_302
| ~ spl4_27
| ~ spl4_128 ),
inference(avatar_split_clause,[],[f1285,f1260,f525,f4593]) ).
fof(f1285,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X3,X0,X2)
| ip(X3,X0,X2,X0,X1) = X0 )
| ~ spl4_27
| ~ spl4_128 ),
inference(resolution,[],[f1261,f526]) ).
fof(f4591,plain,
( spl4_301
| ~ spl4_49
| ~ spl4_127 ),
inference(avatar_split_clause,[],[f1282,f1256,f669,f4589]) ).
fof(f4589,plain,
( spl4_301
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ s_e(X2,X0,X2,X1)
| ~ s_t(X2,X0,X3)
| ~ s_m(X0,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_301])]) ).
fof(f1282,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ s_e(X2,X0,X2,X1)
| ~ s_t(X2,X0,X3)
| ~ s_m(X0,X3,X1) )
| ~ spl4_49
| ~ spl4_127 ),
inference(resolution,[],[f1257,f670]) ).
fof(f4587,plain,
( spl4_300
| ~ spl4_45
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1251,f1231,f606,f4585]) ).
fof(f4585,plain,
( spl4_300
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_300])]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| s_t(X0,X2,X1)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) )
| ~ spl4_45
| ~ spl4_125 ),
inference(resolution,[],[f1232,f607]) ).
fof(f4583,plain,
( spl4_299
| ~ spl4_63
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f992,f934,f768,f4581]) ).
fof(f4581,plain,
( spl4_299
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| X0 = X1
| ~ s_t(X1,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_299])]) ).
fof(f992,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| X0 = X1
| ~ s_t(X1,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_63
| ~ spl4_86 ),
inference(resolution,[],[f935,f769]) ).
fof(f4579,plain,
( spl4_298
| ~ spl4_51
| ~ spl4_81 ),
inference(avatar_split_clause,[],[f974,f914,f677,f4577]) ).
fof(f974,plain,
( ! [X2,X0,X1] :
( s_m(ext(X0,X1,X1,X2),X1,X2)
| ~ s_t(ext(X0,X1,X1,X2),X1,X2) )
| ~ spl4_51
| ~ spl4_81 ),
inference(resolution,[],[f915,f678]) ).
fof(f4575,plain,
( spl4_297
| ~ spl4_45
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f883,f814,f606,f4573]) ).
fof(f4573,plain,
( spl4_297
<=> ! [X4,X0,X3,X2,X1] :
( s_t(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(X0,X2,ext(X2,X1,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_297])]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(X0,X2,ext(X2,X1,X3,X4)) )
| ~ spl4_45
| ~ spl4_70 ),
inference(resolution,[],[f815,f607]) ).
fof(f4473,plain,
( spl4_296
| ~ spl4_2
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f4405,f4213,f417,f4470]) ).
fof(f4470,plain,
( spl4_296
<=> le(sK0,sK1,s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_296])]) ).
fof(f4405,plain,
( le(sK0,sK1,s(sK3,sK0),s(sK3,sK2))
| ~ spl4_2
| ~ spl4_290 ),
inference(resolution,[],[f4214,f419]) ).
fof(f4242,plain,
( spl4_295
| ~ spl4_20
| ~ spl4_143 ),
inference(avatar_split_clause,[],[f1453,f1440,f496,f4240]) ).
fof(f496,plain,
( spl4_20
<=> ! [X2,X0,X1] : le(X0,X0,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f1453,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X4,X4,X5,X6)
| le(X5,X6,X2,X3) )
| ~ spl4_20
| ~ spl4_143 ),
inference(resolution,[],[f1441,f497]) ).
fof(f497,plain,
( ! [X2,X0,X1] : le(X0,X0,X1,X2)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f4231,plain,
( spl4_294
| ~ spl4_16
| ~ spl4_143 ),
inference(avatar_split_clause,[],[f1449,f1440,f480,f4229]) ).
fof(f1449,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| le(X4,X5,X2,X3) )
| ~ spl4_16
| ~ spl4_143 ),
inference(resolution,[],[f1441,f481]) ).
fof(f4227,plain,
( spl4_293
| ~ spl4_59
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1204,f1165,f721,f4225]) ).
fof(f1204,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X5)
| le(X2,X3,X4,X5) )
| ~ spl4_59
| ~ spl4_119 ),
inference(resolution,[],[f1166,f722]) ).
fof(f4223,plain,
( spl4_292
| ~ spl4_45
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1194,f1149,f606,f4221]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| s_t(X2,X0,ext(X0,X1,X3,X4))
| ~ s_t(X2,X0,X1) )
| ~ spl4_45
| ~ spl4_115 ),
inference(resolution,[],[f1150,f607]) ).
fof(f4219,plain,
( spl4_291
| ~ spl4_45
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1185,f1145,f606,f4217]) ).
fof(f1185,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| s_t(X2,X1,ext(X0,X1,X3,X4))
| ~ s_t(X2,X0,X1) )
| ~ spl4_45
| ~ spl4_114 ),
inference(resolution,[],[f1146,f607]) ).
fof(f4215,plain,
( spl4_290
| ~ spl4_48
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1128,f1019,f665,f4213]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1] :
( le(X0,X1,s(X2,X0),X3)
| ~ s_t(s(X2,X0),s(X2,X1),X3) )
| ~ spl4_48
| ~ spl4_101 ),
inference(resolution,[],[f1020,f666]) ).
fof(f4211,plain,
( spl4_289
| ~ spl4_62
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f903,f831,f764,f4209]) ).
fof(f903,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X3,X0))
| ~ s_t(X0,X1,X3)
| ~ sameside(X2,X3,X0) )
| ~ spl4_62
| ~ spl4_73 ),
inference(resolution,[],[f832,f765]) ).
fof(f4207,plain,
( spl4_288
| ~ spl4_61
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f902,f831,f760,f4205]) ).
fof(f902,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X0,X2,X3))
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,X2,X3) )
| ~ spl4_61
| ~ spl4_73 ),
inference(resolution,[],[f832,f761]) ).
fof(f4203,plain,
( spl4_287
| ~ spl4_62
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f897,f827,f764,f4201]) ).
fof(f4201,plain,
( spl4_287
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,c63(X3,X2,X1))
| ~ sameside(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_287])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,c63(X3,X2,X1))
| ~ sameside(X3,X2,X1) )
| ~ spl4_62
| ~ spl4_72 ),
inference(resolution,[],[f828,f765]) ).
fof(f4199,plain,
( spl4_286
| ~ spl4_61
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f896,f827,f760,f4197]) ).
fof(f4197,plain,
( spl4_286
<=> ! [X0,X3,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,c63(X1,X2,X3))
| ~ sameside(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_286])]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,c63(X1,X2,X3))
| ~ sameside(X1,X2,X3) )
| ~ spl4_61
| ~ spl4_72 ),
inference(resolution,[],[f828,f761]) ).
fof(f4195,plain,
( spl4_285
| ~ spl4_62
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f891,f818,f764,f4193]) ).
fof(f891,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X3,X0,X1)
| ~ sameside(X2,X1,X3) )
| ~ spl4_62
| ~ spl4_71 ),
inference(resolution,[],[f819,f765]) ).
fof(f4191,plain,
( spl4_284
| ~ spl4_61
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f890,f818,f760,f4189]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1] :
( s_t(X0,X1,c63(X2,X1,X3))
| ~ s_t(X2,X0,X1)
| ~ sameside(X2,X1,X3) )
| ~ spl4_61
| ~ spl4_71 ),
inference(resolution,[],[f819,f761]) ).
fof(f4187,plain,
( spl4_283
| ~ spl4_51
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f873,f802,f677,f4185]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( ext(X1,X2,X2,X0) = X0
| ~ s_t(X2,X0,ext(X1,X2,X2,X0)) )
| ~ spl4_51
| ~ spl4_67 ),
inference(resolution,[],[f803,f678]) ).
fof(f3967,plain,
( ~ spl4_282
| spl4_171
| ~ spl4_264 ),
inference(avatar_split_clause,[],[f3740,f3442,f1796,f3964]) ).
fof(f3964,plain,
( spl4_282
<=> s_t(sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_282])]) ).
fof(f3740,plain,
( ~ s_t(sK2,sK0,sK1)
| spl4_171
| ~ spl4_264 ),
inference(resolution,[],[f3443,f1798]) ).
fof(f3580,plain,
( spl4_281
| ~ spl4_18
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1430,f1387,f488,f3578]) ).
fof(f1430,plain,
( ! [X2,X0,X1] :
( ext(X0,X1,X1,X2) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 )
| ~ spl4_18
| ~ spl4_141 ),
inference(resolution,[],[f1388,f489]) ).
fof(f3576,plain,
( spl4_280
| ~ spl4_17
| ~ spl4_141 ),
inference(avatar_split_clause,[],[f1429,f1387,f484,f3574]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( ext(X0,X1,X2,X1) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 )
| ~ spl4_17
| ~ spl4_141 ),
inference(resolution,[],[f1388,f485]) ).
fof(f3565,plain,
( spl4_279
| ~ spl4_22
| ~ spl4_175 ),
inference(avatar_split_clause,[],[f3494,f1815,f504,f3562]) ).
fof(f504,plain,
( spl4_22
<=> ! [X0,X1] : s_m(X0,X1,s(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f3494,plain,
( s_m(sK0,sK3,xb)
| ~ spl4_22
| ~ spl4_175 ),
inference(superposition,[],[f505,f1817]) ).
fof(f505,plain,
( ! [X0,X1] : s_m(X0,X1,s(X1,X0))
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f3560,plain,
( spl4_278
| ~ spl4_25
| ~ spl4_135 ),
inference(avatar_split_clause,[],[f1365,f1339,f517,f3558]) ).
fof(f3558,plain,
( spl4_278
<=> ! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ s_t(X2,X1,X0)
| X0 = X1
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_278])]) ).
fof(f1365,plain,
( ! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ s_t(X2,X1,X0)
| X0 = X1
| X1 = X2 )
| ~ spl4_25
| ~ spl4_135 ),
inference(duplicate_literal_removal,[],[f1364]) ).
fof(f1364,plain,
( ! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ s_t(X2,X1,X0)
| X0 = X1
| X1 = X2
| X0 = X1 )
| ~ spl4_25
| ~ spl4_135 ),
inference(resolution,[],[f1340,f518]) ).
fof(f3556,plain,
( spl4_277
| ~ spl4_51
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1220,f1177,f677,f3554]) ).
fof(f1220,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X4,ext(X5,X4,X2,X3),X0,X1) )
| ~ spl4_51
| ~ spl4_122 ),
inference(resolution,[],[f1178,f678]) ).
fof(f3552,plain,
( spl4_276
| ~ spl4_48
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1219,f1177,f665,f3550]) ).
fof(f1219,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X3,X4,X0,X1) )
| ~ spl4_48
| ~ spl4_122 ),
inference(resolution,[],[f1178,f666]) ).
fof(f3548,plain,
( spl4_275
| ~ spl4_49
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1218,f1177,f669,f3546]) ).
fof(f1218,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X2,X4,X0,X1)
| ~ s_m(X4,X2,X3) )
| ~ spl4_49
| ~ spl4_122 ),
inference(resolution,[],[f1178,f670]) ).
fof(f3544,plain,
( ~ spl4_274
| ~ spl4_175
| spl4_273 ),
inference(avatar_split_clause,[],[f3538,f3534,f1815,f3541]) ).
fof(f3538,plain,
( xb != s(sK3,sK2)
| ~ spl4_175
| spl4_273 ),
inference(forward_demodulation,[],[f3535,f1817]) ).
fof(f3535,plain,
( s(sK3,sK0) != s(sK3,sK2)
| spl4_273 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f3537,plain,
( spl4_271
| spl4_273
| spl4_172
| ~ spl4_2
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1084,f1007,f417,f1800,f3534,f3470]) ).
fof(f1084,plain,
( s(sK3,sK0) = s(sK3,sK1)
| s(sK3,sK0) = s(sK3,sK2)
| sameside(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_2
| ~ spl4_98 ),
inference(resolution,[],[f1008,f419]) ).
fof(f3532,plain,
( ~ spl4_272
| spl4_174
| ~ spl4_175 ),
inference(avatar_split_clause,[],[f3474,f1815,f1811,f3529]) ).
fof(f3529,plain,
( spl4_272
<=> sameside(s(sK3,sK1),xb,s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_272])]) ).
fof(f3474,plain,
( ~ sameside(s(sK3,sK1),xb,s(sK3,sK2))
| spl4_174
| ~ spl4_175 ),
inference(forward_demodulation,[],[f1812,f1817]) ).
fof(f1812,plain,
( ~ sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| spl4_174 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f3473,plain,
( spl4_271
| ~ spl4_37
| ~ spl4_174 ),
inference(avatar_split_clause,[],[f1906,f1811,f572,f3470]) ).
fof(f1906,plain,
( sameside(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_37
| ~ spl4_174 ),
inference(resolution,[],[f1813,f573]) ).
fof(f3468,plain,
( spl4_270
| ~ spl4_51
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1213,f1173,f677,f3466]) ).
fof(f1213,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,ext(X5,X4,X2,X3)) )
| ~ spl4_51
| ~ spl4_121 ),
inference(resolution,[],[f1174,f678]) ).
fof(f3464,plain,
( spl4_269
| ~ spl4_48
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1212,f1173,f665,f3462]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,s(X2,X3),s(X2,X4))
| ~ s_e(X0,X1,X3,X4) )
| ~ spl4_48
| ~ spl4_121 ),
inference(resolution,[],[f1174,f666]) ).
fof(f3460,plain,
( spl4_268
| ~ spl4_49
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1211,f1173,f669,f3458]) ).
fof(f1211,plain,
( ! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_m(X4,X2,X3) )
| ~ spl4_49
| ~ spl4_121 ),
inference(resolution,[],[f1174,f670]) ).
fof(f3456,plain,
( spl4_267
| ~ spl4_24
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1123,f1015,f513,f3454]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),s(X0,X3),X1)
| ~ s_t(X2,X3,s(X0,X1)) )
| ~ spl4_24
| ~ spl4_100 ),
inference(superposition,[],[f1016,f514]) ).
fof(f3452,plain,
( spl4_266
| ~ spl4_24
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1121,f1015,f513,f3450]) ).
fof(f1121,plain,
( ! [X2,X3,X0,X1] :
( s_t(s(X0,X2),X1,s(X0,X3))
| ~ s_t(X2,s(X0,X1),X3) )
| ~ spl4_24
| ~ spl4_100 ),
inference(superposition,[],[f1016,f514]) ).
fof(f3448,plain,
( spl4_265
| ~ spl4_24
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1119,f1015,f513,f3446]) ).
fof(f1119,plain,
( ! [X2,X3,X0,X1] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) )
| ~ spl4_24
| ~ spl4_100 ),
inference(superposition,[],[f1016,f514]) ).
fof(f3444,plain,
( spl4_264
| ~ spl4_43
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1110,f1015,f598,f3442]) ).
fof(f1110,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X2),s(X3,X1),s(X3,X0)) )
| ~ spl4_43
| ~ spl4_100 ),
inference(resolution,[],[f1016,f599]) ).
fof(f3440,plain,
( spl4_263
| ~ spl4_35
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1109,f1015,f564,f3438]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X1),s(X3,X2),s(X3,X0)) )
| ~ spl4_35
| ~ spl4_100 ),
inference(resolution,[],[f1016,f565]) ).
fof(f3436,plain,
( spl4_262
| ~ spl4_34
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1108,f1015,f560,f3434]) ).
fof(f1108,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X2),s(X3,X0),s(X3,X1)) )
| ~ spl4_34
| ~ spl4_100 ),
inference(resolution,[],[f1016,f561]) ).
fof(f3432,plain,
( spl4_261
| ~ spl4_33
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1107,f1015,f556,f3430]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(s(X3,X0),s(X3,X1),s(X3,X2)) )
| ~ spl4_33
| ~ spl4_100 ),
inference(resolution,[],[f1016,f557]) ).
fof(f3428,plain,
( spl4_260
| ~ spl4_55
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1097,f1011,f705,f3426]) ).
fof(f3426,plain,
( spl4_260
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X2,X3,X0,ins(X2,X3,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_260])]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X2,X3,X0,ins(X2,X3,X0,X1)) )
| ~ spl4_55
| ~ spl4_99 ),
inference(resolution,[],[f1012,f706]) ).
fof(f3424,plain,
( spl4_259
| ~ spl4_56
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1096,f1011,f709,f3422]) ).
fof(f3422,plain,
( spl4_259
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(ins(X2,X3,X0,X1),X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_259])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(ins(X2,X3,X0,X1),X0,X2,X3) )
| ~ spl4_56
| ~ spl4_99 ),
inference(resolution,[],[f1012,f710]) ).
fof(f3420,plain,
( spl4_258
| ~ spl4_57
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1095,f1011,f713,f3418]) ).
fof(f3418,plain,
( spl4_258
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X0,ins(X2,X3,X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_258])]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X0,ins(X2,X3,X0,X1),X3,X2) )
| ~ spl4_57
| ~ spl4_99 ),
inference(resolution,[],[f1012,f714]) ).
fof(f3416,plain,
( spl4_257
| ~ spl4_58
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1094,f1011,f717,f3414]) ).
fof(f1094,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(ins(X2,X3,X0,X1),X0,X3,X2) )
| ~ spl4_58
| ~ spl4_99 ),
inference(resolution,[],[f1012,f718]) ).
fof(f3412,plain,
( spl4_256
| ~ spl4_45
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1080,f1003,f606,f3410]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1] :
( xb = X0
| X0 = X1
| sameside(X1,X0,ext(X0,X1,X2,X3)) )
| ~ spl4_45
| ~ spl4_97 ),
inference(resolution,[],[f1004,f607]) ).
fof(f3408,plain,
( spl4_255
| ~ spl4_62
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f793,f768,f764,f3406]) ).
fof(f3406,plain,
( spl4_255
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,c63(X2,X0,X1))
| ~ sameside(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_255])]) ).
fof(f793,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,c63(X2,X0,X1))
| ~ sameside(X2,X0,X1) )
| ~ spl4_62
| ~ spl4_63 ),
inference(resolution,[],[f769,f765]) ).
fof(f3404,plain,
( spl4_254
| ~ spl4_61
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f792,f768,f760,f3402]) ).
fof(f3402,plain,
( spl4_254
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_254])]) ).
fof(f792,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2) )
| ~ spl4_61
| ~ spl4_63 ),
inference(resolution,[],[f769,f761]) ).
fof(f3292,plain,
( spl4_253
| ~ spl4_51
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1136,f1023,f677,f3290]) ).
fof(f1136,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ext(X2,X0,X3,X4))
| le(X0,X1,X3,X4) )
| ~ spl4_51
| ~ spl4_102 ),
inference(resolution,[],[f1024,f678]) ).
fof(f3288,plain,
( spl4_252
| ~ spl4_48
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1135,f1023,f665,f3286]) ).
fof(f3286,plain,
( spl4_252
<=> ! [X0,X3,X2,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X3,X0),s(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_252])]) ).
fof(f1135,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,s(X3,X0),s(X3,X2)) )
| ~ spl4_48
| ~ spl4_102 ),
inference(resolution,[],[f1024,f666]) ).
fof(f3284,plain,
( spl4_251
| ~ spl4_49
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1134,f1023,f669,f3282]) ).
fof(f1134,plain,
( ! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X0,X3)
| ~ s_m(X2,X0,X3) )
| ~ spl4_49
| ~ spl4_102 ),
inference(resolution,[],[f1024,f670]) ).
fof(f3280,plain,
( spl4_250
| ~ spl4_24
| ~ spl4_158 ),
inference(avatar_split_clause,[],[f3116,f1632,f513,f3277]) ).
fof(f3116,plain,
( sK1 = sK2
| ~ spl4_24
| ~ spl4_158 ),
inference(forward_demodulation,[],[f3093,f514]) ).
fof(f3093,plain,
( sK2 = s(sK3,s(sK3,sK1))
| ~ spl4_24
| ~ spl4_158 ),
inference(superposition,[],[f514,f1634]) ).
fof(f1634,plain,
( s(sK3,sK1) = s(sK3,sK2)
| ~ spl4_158 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f3275,plain,
( spl4_249
| ~ spl4_51
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1129,f1019,f677,f3273]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,ext(X1,X0,X2,X3),X2,X4)
| ~ s_t(X2,X3,X4) )
| ~ spl4_51
| ~ spl4_101 ),
inference(resolution,[],[f1020,f678]) ).
fof(f3271,plain,
( spl4_248
| ~ spl4_49
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1127,f1019,f669,f3269]) ).
fof(f1127,plain,
( ! [X2,X3,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X3,X2)
| ~ s_m(X1,X0,X3) )
| ~ spl4_49
| ~ spl4_101 ),
inference(resolution,[],[f1020,f670]) ).
fof(f3267,plain,
( spl4_247
| ~ spl4_43
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f991,f934,f598,f3265]) ).
fof(f991,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(ins(X2,X3,X0,X1),X1,X0) )
| ~ spl4_43
| ~ spl4_86 ),
inference(resolution,[],[f935,f599]) ).
fof(f3263,plain,
( spl4_246
| ~ spl4_35
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f990,f934,f564,f3261]) ).
fof(f3261,plain,
( spl4_246
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X1,ins(X2,X3,X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_246])]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X1,ins(X2,X3,X0,X1),X0) )
| ~ spl4_35
| ~ spl4_86 ),
inference(resolution,[],[f935,f565]) ).
fof(f3259,plain,
( spl4_245
| ~ spl4_34
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f989,f934,f560,f3257]) ).
fof(f3257,plain,
( spl4_245
<=> ! [X0,X3,X2,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ins(X2,X3,X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_245])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(ins(X2,X3,X0,X1),X0,X1) )
| ~ spl4_34
| ~ spl4_86 ),
inference(resolution,[],[f935,f561]) ).
fof(f3255,plain,
( spl4_244
| ~ spl4_33
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f988,f934,f556,f3253]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_col(X0,X1,ins(X2,X3,X0,X1)) )
| ~ spl4_33
| ~ spl4_86 ),
inference(resolution,[],[f935,f557]) ).
fof(f3251,plain,
( spl4_243
| ~ spl4_59
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f976,f918,f721,f3249]) ).
fof(f3249,plain,
( spl4_243
<=> ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ sameside(X1,X0,X2)
| le(X0,X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_243])]) ).
fof(f918,plain,
( spl4_82
<=> ! [X2,X0,X1] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ sameside(X1,X0,X2)
| le(X0,X2,X0,X1) )
| ~ spl4_59
| ~ spl4_82 ),
inference(resolution,[],[f919,f722]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ le(X1,X0,X1,X2)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) )
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f2998,plain,
( spl4_242
| ~ spl4_21
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1122,f1015,f500,f2996]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X1),s(X0,X2),X0)
| ~ s_t(X1,X2,X0) )
| ~ spl4_21
| ~ spl4_100 ),
inference(superposition,[],[f1016,f501]) ).
fof(f2994,plain,
( spl4_241
| ~ spl4_21
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1120,f1015,f500,f2992]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( s_t(s(X0,X1),X0,s(X0,X2))
| ~ s_t(X1,X0,X2) )
| ~ spl4_21
| ~ spl4_100 ),
inference(superposition,[],[f1016,f501]) ).
fof(f2990,plain,
( spl4_240
| ~ spl4_21
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1118,f1015,f500,f2988]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( s_t(X0,s(X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) )
| ~ spl4_21
| ~ spl4_100 ),
inference(superposition,[],[f1016,f501]) ).
fof(f2986,plain,
( spl4_239
| ~ spl4_44
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1093,f1011,f602,f2984]) ).
fof(f1093,plain,
( ! [X2,X0,X1] :
( ~ le(X0,X1,X2,X2)
| ins(X2,X2,X0,X1) = X0 )
| ~ spl4_44
| ~ spl4_99 ),
inference(resolution,[],[f1012,f603]) ).
fof(f2982,plain,
( spl4_238
| ~ spl4_45
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f901,f831,f606,f2980]) ).
fof(f901,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X0,X2,X3,X4))
| ~ s_t(X0,X1,X2) )
| ~ spl4_45
| ~ spl4_73 ),
inference(resolution,[],[f832,f607]) ).
fof(f2978,plain,
( spl4_237
| ~ spl4_45
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f895,f827,f606,f2976]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) )
| ~ spl4_45
| ~ spl4_72 ),
inference(resolution,[],[f828,f607]) ).
fof(f2965,plain,
( spl4_236
| ~ spl4_45
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f889,f818,f606,f2963]) ).
fof(f889,plain,
( ! [X2,X3,X0,X1,X4] :
( s_t(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(X2,X0,X1) )
| ~ spl4_45
| ~ spl4_71 ),
inference(resolution,[],[f819,f607]) ).
fof(f2798,plain,
( spl4_235
| ~ spl4_20
| ~ spl4_44
| ~ spl4_51
| ~ spl4_160 ),
inference(avatar_split_clause,[],[f1667,f1655,f677,f602,f496,f2796]) ).
fof(f1667,plain,
( ! [X2,X0,X1] : ins(X0,X1,X2,X2) = ext(X2,X2,X0,X1)
| ~ spl4_20
| ~ spl4_44
| ~ spl4_51
| ~ spl4_160 ),
inference(forward_demodulation,[],[f1666,f695]) ).
fof(f695,plain,
( ! [X2,X0,X1] : ext(X1,X0,X2,X2) = X0
| ~ spl4_44
| ~ spl4_51 ),
inference(resolution,[],[f678,f603]) ).
fof(f1666,plain,
( ! [X2,X0,X1] : ins(X0,X1,X2,X2) = ext(X2,X2,ext(ext(X1,X0,alpha,gamma),X0,X2,X2),X1)
| ~ spl4_20
| ~ spl4_160 ),
inference(resolution,[],[f1656,f497]) ).
fof(f2794,plain,
( spl4_234
| ~ spl4_27
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1106,f1015,f525,f2792]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| s(X2,X0) = s(X2,X1) )
| ~ spl4_27
| ~ spl4_100 ),
inference(resolution,[],[f1016,f526]) ).
fof(f2790,plain,
( spl4_233
| ~ spl4_49
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f871,f802,f669,f2788]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X2,X0,X1)
| ~ s_m(X1,X2,X0) )
| ~ spl4_49
| ~ spl4_67 ),
inference(resolution,[],[f803,f670]) ).
fof(f2786,plain,
( spl4_232
| ~ spl4_45
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f791,f768,f606,f2784]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,ext(X1,X0,X2,X3)) )
| ~ spl4_45
| ~ spl4_63 ),
inference(resolution,[],[f769,f607]) ).
fof(f2782,plain,
( spl4_231
| ~ spl4_33
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f787,f764,f556,f2780]) ).
fof(f2780,plain,
( spl4_231
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X2,X1,c63(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_231])]) ).
fof(f787,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X2,X1,c63(X0,X1,X2)) )
| ~ spl4_33
| ~ spl4_62 ),
inference(resolution,[],[f765,f557]) ).
fof(f2778,plain,
( spl4_230
| ~ spl4_34
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f786,f764,f560,f2776]) ).
fof(f2776,plain,
( spl4_230
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_230])]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X2,X1) )
| ~ spl4_34
| ~ spl4_62 ),
inference(resolution,[],[f765,f561]) ).
fof(f2774,plain,
( spl4_229
| ~ spl4_35
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f785,f764,f564,f2772]) ).
fof(f2772,plain,
( spl4_229
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,c63(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_229])]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,c63(X0,X1,X2),X2) )
| ~ spl4_35
| ~ spl4_62 ),
inference(resolution,[],[f765,f565]) ).
fof(f2770,plain,
( spl4_228
| ~ spl4_43
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f784,f764,f598,f2768]) ).
fof(f784,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(c63(X0,X1,X2),X1,X2) )
| ~ spl4_43
| ~ spl4_62 ),
inference(resolution,[],[f765,f599]) ).
fof(f2766,plain,
( spl4_227
| ~ spl4_33
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f783,f760,f556,f2764]) ).
fof(f2764,plain,
( spl4_227
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X0,X1,c63(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_227])]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X0,X1,c63(X0,X1,X2)) )
| ~ spl4_33
| ~ spl4_61 ),
inference(resolution,[],[f761,f557]) ).
fof(f2762,plain,
( spl4_226
| ~ spl4_34
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f782,f760,f560,f2760]) ).
fof(f2760,plain,
( spl4_226
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_226])]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(c63(X0,X1,X2),X0,X1) )
| ~ spl4_34
| ~ spl4_61 ),
inference(resolution,[],[f761,f561]) ).
fof(f2758,plain,
( spl4_225
| ~ spl4_35
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f781,f760,f564,f2756]) ).
fof(f2756,plain,
( spl4_225
<=> ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,c63(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_225])]) ).
fof(f781,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_col(X1,c63(X0,X1,X2),X0) )
| ~ spl4_35
| ~ spl4_61 ),
inference(resolution,[],[f761,f565]) ).
fof(f2754,plain,
( spl4_224
| ~ spl4_43
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f780,f760,f598,f2752]) ).
fof(f780,plain,
( ! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(c63(X0,X1,X2),X1,X0) )
| ~ spl4_43
| ~ spl4_61 ),
inference(resolution,[],[f761,f599]) ).
fof(f2668,plain,
( spl4_223
| ~ spl4_27
| ~ spl4_159 ),
inference(avatar_split_clause,[],[f2589,f1636,f525,f2665]) ).
fof(f2665,plain,
( spl4_223
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_223])]) ).
fof(f1636,plain,
( spl4_159
<=> s_t(sK2,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_159])]) ).
fof(f2589,plain,
( sK0 = sK2
| ~ spl4_27
| ~ spl4_159 ),
inference(resolution,[],[f1637,f526]) ).
fof(f1637,plain,
( s_t(sK2,sK0,sK2)
| ~ spl4_159 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f2660,plain,
( spl4_222
| ~ spl4_17
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1216,f1177,f484,f2658]) ).
fof(f1216,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X3,X2,X0,X1) )
| ~ spl4_17
| ~ spl4_122 ),
inference(resolution,[],[f1178,f485]) ).
fof(f2656,plain,
( spl4_221
| ~ spl4_19
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f1215,f1177,f492,f2654]) ).
fof(f1215,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_e(X3,X3,X0,X1) )
| ~ spl4_19
| ~ spl4_122 ),
inference(resolution,[],[f1178,f493]) ).
fof(f2652,plain,
( spl4_220
| ~ spl4_19
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1208,f1173,f492,f2650]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ s_e(X0,X1,X3,X3) )
| ~ spl4_19
| ~ spl4_121 ),
inference(resolution,[],[f1174,f493]) ).
fof(f2648,plain,
( spl4_219
| ~ spl4_20
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1207,f1165,f496,f2646]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X4,X4) )
| ~ spl4_20
| ~ spl4_119 ),
inference(resolution,[],[f1166,f497]) ).
fof(f2644,plain,
( spl4_218
| ~ spl4_20
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1202,f1153,f496,f2642]) ).
fof(f1202,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| ~ le(X0,X1,X2,X2) )
| ~ spl4_20
| ~ spl4_116 ),
inference(resolution,[],[f1154,f497]) ).
fof(f2640,plain,
( spl4_217
| ~ spl4_24
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f730,f701,f513,f2638]) ).
fof(f701,plain,
( spl4_54
<=> ! [X2,X0,X1] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f730,plain,
( ! [X2,X0,X1] :
( s(X0,X2) != X1
| s(X0,X1) = X2 )
| ~ spl4_24
| ~ spl4_54 ),
inference(superposition,[],[f702,f514]) ).
fof(f702,plain,
( ! [X2,X0,X1] :
( s(X0,X1) != s(X0,X2)
| X1 = X2 )
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f2373,plain,
( spl4_216
| spl4_159
| ~ spl4_194 ),
inference(avatar_split_clause,[],[f2154,f2057,f1636,f2370]) ).
fof(f2154,plain,
( sameside(sK2,sK0,sK2)
| spl4_159
| ~ spl4_194 ),
inference(resolution,[],[f2058,f1638]) ).
fof(f1638,plain,
( ~ s_t(sK2,sK0,sK2)
| spl4_159 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f2303,plain,
( spl4_215
| ~ spl4_17
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1132,f1023,f484,f2301]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| le(X0,X1,X2,X0) )
| ~ spl4_17
| ~ spl4_102 ),
inference(resolution,[],[f1024,f485]) ).
fof(f2299,plain,
( spl4_214
| ~ spl4_19
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1131,f1023,f492,f2297]) ).
fof(f2297,plain,
( spl4_214
<=> ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| le(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_214])]) ).
fof(f1131,plain,
( ! [X2,X0,X1] :
( ~ s_t(X0,X1,X0)
| le(X0,X1,X2,X2) )
| ~ spl4_19
| ~ spl4_102 ),
inference(resolution,[],[f1024,f493]) ).
fof(f2295,plain,
( spl4_213
| ~ spl4_18
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1126,f1019,f488,f2293]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2) )
| ~ spl4_18
| ~ spl4_101 ),
inference(resolution,[],[f1020,f489]) ).
fof(f2291,plain,
( spl4_212
| ~ spl4_17
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1125,f1019,f484,f2289]) ).
fof(f1125,plain,
( ! [X2,X0,X1] :
( le(X0,X1,X1,X2)
| ~ s_t(X1,X0,X2) )
| ~ spl4_17
| ~ spl4_101 ),
inference(resolution,[],[f1020,f485]) ).
fof(f2287,plain,
( spl4_211
| ~ spl4_51
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f757,f717,f677,f2285]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] : s_e(ext(X0,X1,X2,X3),X1,X3,X2)
| ~ spl4_51
| ~ spl4_58 ),
inference(resolution,[],[f718,f678]) ).
fof(f2283,plain,
( spl4_210
| ~ spl4_49
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f754,f717,f669,f2281]) ).
fof(f754,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X1)
| ~ s_m(X0,X1,X2) )
| ~ spl4_49
| ~ spl4_58 ),
inference(resolution,[],[f718,f670]) ).
fof(f2279,plain,
( spl4_209
| ~ spl4_51
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f751,f713,f677,f2277]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] : s_e(X0,ext(X1,X0,X2,X3),X3,X2)
| ~ spl4_51
| ~ spl4_57 ),
inference(resolution,[],[f714,f678]) ).
fof(f2275,plain,
( spl4_208
| ~ spl4_49
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f748,f713,f669,f2273]) ).
fof(f748,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X2,X0)
| ~ s_m(X1,X0,X2) )
| ~ spl4_49
| ~ spl4_57 ),
inference(resolution,[],[f714,f670]) ).
fof(f2271,plain,
( spl4_207
| ~ spl4_51
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f745,f709,f677,f2269]) ).
fof(f745,plain,
( ! [X2,X3,X0,X1] : s_e(ext(X0,X1,X2,X3),X1,X2,X3)
| ~ spl4_51
| ~ spl4_56 ),
inference(resolution,[],[f710,f678]) ).
fof(f2267,plain,
( spl4_206
| ~ spl4_48
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f743,f709,f665,f2265]) ).
fof(f743,plain,
( ! [X2,X0,X1] : s_e(X0,X1,s(X2,X1),s(X2,X0))
| ~ spl4_48
| ~ spl4_56 ),
inference(resolution,[],[f710,f666]) ).
fof(f2224,plain,
( ~ spl4_12
| spl4_198 ),
inference(avatar_contradiction_clause,[],[f2223]) ).
fof(f2223,plain,
( $false
| ~ spl4_12
| spl4_198 ),
inference(resolution,[],[f2161,f465]) ).
fof(f2161,plain,
( ~ s_t(sK0,sK0,sK2)
| spl4_198 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2159,plain,
( spl4_198
<=> s_t(sK0,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_198])]) ).
fof(f2222,plain,
( spl4_205
| ~ spl4_49
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f742,f709,f669,f2220]) ).
fof(f742,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X0,X1,X2) )
| ~ spl4_49
| ~ spl4_56 ),
inference(resolution,[],[f710,f670]) ).
fof(f2218,plain,
( spl4_204
| ~ spl4_51
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f739,f705,f677,f2216]) ).
fof(f739,plain,
( ! [X2,X3,X0,X1] : s_e(X0,X1,X2,ext(X3,X2,X0,X1))
| ~ spl4_51
| ~ spl4_55 ),
inference(resolution,[],[f706,f678]) ).
fof(f2214,plain,
( spl4_203
| ~ spl4_48
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f737,f705,f665,f2212]) ).
fof(f737,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),s(X0,X2),X1,X2)
| ~ spl4_48
| ~ spl4_55 ),
inference(resolution,[],[f706,f666]) ).
fof(f2210,plain,
( spl4_202
| ~ spl4_49
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f736,f705,f669,f2208]) ).
fof(f736,plain,
( ! [X2,X0,X1] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X0,X1) )
| ~ spl4_49
| ~ spl4_55 ),
inference(resolution,[],[f706,f670]) ).
fof(f2206,plain,
( spl4_201
| ~ spl4_24
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f685,f665,f513,f2204]) ).
fof(f685,plain,
( ! [X2,X0,X1] : s_e(X2,s(X0,X1),s(X0,X2),X1)
| ~ spl4_24
| ~ spl4_48 ),
inference(superposition,[],[f666,f514]) ).
fof(f2202,plain,
( spl4_200
| ~ spl4_24
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f683,f665,f513,f2200]) ).
fof(f683,plain,
( ! [X2,X0,X1] : s_e(s(X0,X1),X2,X1,s(X0,X2))
| ~ spl4_24
| ~ spl4_48 ),
inference(superposition,[],[f666,f514]) ).
fof(f2198,plain,
( spl4_172
| spl4_158
| spl4_199
| ~ spl4_2
| ~ spl4_144 ),
inference(avatar_split_clause,[],[f1474,f1455,f417,f2196,f1632,f1800]) ).
fof(f1474,plain,
( ! [X0] :
( sameside(X0,s(sK3,sK1),s(sK3,sK0))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = s(sK3,sK2)
| s(sK3,sK0) = s(sK3,sK1)
| s(sK3,sK1) = X0 )
| ~ spl4_2
| ~ spl4_144 ),
inference(resolution,[],[f1456,f419]) ).
fof(f2162,plain,
( ~ spl4_198
| spl4_1
| ~ spl4_181 ),
inference(avatar_split_clause,[],[f2001,f1900,f412,f2159]) ).
fof(f1900,plain,
( spl4_181
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_181])]) ).
fof(f2001,plain,
( ~ s_t(sK0,sK0,sK2)
| spl4_1
| ~ spl4_181 ),
inference(superposition,[],[f414,f1902]) ).
fof(f1902,plain,
( sK0 = sK1
| ~ spl4_181 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f2071,plain,
( spl4_197
| ~ spl4_18
| ~ spl4_81 ),
inference(avatar_split_clause,[],[f971,f914,f488,f2069]) ).
fof(f971,plain,
( ! [X0,X1] :
( s_m(X0,X1,X0)
| ~ s_t(X0,X1,X0) )
| ~ spl4_18
| ~ spl4_81 ),
inference(resolution,[],[f915,f489]) ).
fof(f2067,plain,
( spl4_196
| ~ spl4_12
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f900,f831,f464,f2065]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X0,X1,X0) )
| ~ spl4_12
| ~ spl4_73 ),
inference(resolution,[],[f832,f465]) ).
fof(f2063,plain,
( spl4_195
| ~ spl4_12
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f888,f818,f464,f2061]) ).
fof(f888,plain,
( ! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_t(X1,X0,X1) )
| ~ spl4_12
| ~ spl4_71 ),
inference(resolution,[],[f819,f465]) ).
fof(f2059,plain,
( spl4_194
| ~ spl4_9
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f874,f806,f452,f2057]) ).
fof(f874,plain,
( ! [X0,X1] :
( s_t(X0,X1,X0)
| sameside(X0,X1,X0) )
| ~ spl4_9
| ~ spl4_68 ),
inference(resolution,[],[f807,f453]) ).
fof(f2054,plain,
( spl4_193
| ~ spl4_21
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f729,f701,f500,f2052]) ).
fof(f729,plain,
( ! [X0,X1] :
( s(X0,X1) != X0
| X0 = X1 )
| ~ spl4_21
| ~ spl4_54 ),
inference(superposition,[],[f702,f501]) ).
fof(f2050,plain,
( spl4_192
| ~ spl4_33
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f659,f606,f556,f2048]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1] : s_col(X0,X1,ext(X0,X1,X2,X3))
| ~ spl4_33
| ~ spl4_45 ),
inference(resolution,[],[f607,f557]) ).
fof(f2046,plain,
( spl4_191
| ~ spl4_34
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f658,f606,f560,f2044]) ).
fof(f658,plain,
( ! [X2,X3,X0,X1] : s_col(ext(X0,X1,X2,X3),X0,X1)
| ~ spl4_34
| ~ spl4_45 ),
inference(resolution,[],[f607,f561]) ).
fof(f2042,plain,
( spl4_190
| ~ spl4_35
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f657,f606,f564,f2040]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1] : s_col(X0,ext(X1,X0,X2,X3),X1)
| ~ spl4_35
| ~ spl4_45 ),
inference(resolution,[],[f607,f565]) ).
fof(f2038,plain,
( spl4_189
| ~ spl4_43
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f656,f606,f598,f2036]) ).
fof(f656,plain,
( ! [X2,X3,X0,X1] : s_t(ext(X0,X1,X2,X3),X1,X0)
| ~ spl4_43
| ~ spl4_45 ),
inference(resolution,[],[f607,f599]) ).
fof(f2034,plain,
( spl4_172
| spl4_188
| ~ spl4_2
| ~ spl4_140 ),
inference(avatar_split_clause,[],[f1416,f1383,f417,f2032,f1800]) ).
fof(f1416,plain,
( ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(s(sK3,sK0),s(sK3,sK2),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_2
| ~ spl4_140 ),
inference(resolution,[],[f1384,f419]) ).
fof(f2030,plain,
( spl4_172
| spl4_187
| ~ spl4_2
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f1402,f1379,f417,f2028,f1800]) ).
fof(f1402,plain,
( ! [X0] :
( s_t(s(sK3,sK1),X0,s(sK3,sK2))
| s_t(s(sK3,sK1),s(sK3,sK2),X0)
| ~ s_t(s(sK3,sK0),s(sK3,sK1),X0)
| s(sK3,sK0) = s(sK3,sK1) )
| ~ spl4_2
| ~ spl4_139 ),
inference(resolution,[],[f1380,f419]) ).
fof(f2025,plain,
( spl4_158
| spl4_186
| ~ spl4_2
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f1390,f1375,f417,f2023,f1632]) ).
fof(f1390,plain,
( ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| s_t(X0,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK1),s(sK3,sK2))
| s(sK3,sK1) = s(sK3,sK2) )
| ~ spl4_2
| ~ spl4_138 ),
inference(resolution,[],[f1376,f419]) ).
fof(f1956,plain,
( spl4_185
| ~ spl4_13
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f794,f772,f468,f1954]) ).
fof(f1954,plain,
( spl4_185
<=> ! [X0,X1] :
( X0 = X1
| ~ s_m(X1,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_185])]) ).
fof(f468,plain,
( spl4_13
<=> ! [X1] : s_m(X1,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f794,plain,
( ! [X0,X1] :
( X0 = X1
| ~ s_m(X1,X1,X0) )
| ~ spl4_13
| ~ spl4_64 ),
inference(resolution,[],[f773,f469]) ).
fof(f469,plain,
( ! [X1] : s_m(X1,X1,X1)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f1952,plain,
( spl4_184
| ~ spl4_44
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f695,f677,f602,f1950]) ).
fof(f1930,plain,
( spl4_183
| spl4_172
| ~ spl4_2
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1189,f1149,f417,f1800,f1928]) ).
fof(f1189,plain,
( ! [X0] :
( s(sK3,sK0) = s(sK3,sK1)
| s_t(X0,s(sK3,sK0),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_2
| ~ spl4_115 ),
inference(resolution,[],[f1150,f419]) ).
fof(f1914,plain,
( spl4_182
| spl4_172
| ~ spl4_2
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1180,f1145,f417,f1800,f1912]) ).
fof(f1180,plain,
( ! [X0] :
( s(sK3,sK0) = s(sK3,sK1)
| s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK1)) )
| ~ spl4_2
| ~ spl4_114 ),
inference(resolution,[],[f1146,f419]) ).
fof(f1903,plain,
( spl4_181
| ~ spl4_24
| ~ spl4_172 ),
inference(avatar_split_clause,[],[f1843,f1800,f513,f1900]) ).
fof(f1843,plain,
( sK0 = sK1
| ~ spl4_24
| ~ spl4_172 ),
inference(forward_demodulation,[],[f1833,f514]) ).
fof(f1833,plain,
( sK1 = s(sK3,s(sK3,sK0))
| ~ spl4_24
| ~ spl4_172 ),
inference(superposition,[],[f514,f1802]) ).
fof(f1802,plain,
( s(sK3,sK0) = s(sK3,sK1)
| ~ spl4_172 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f1898,plain,
( spl4_180
| ~ spl4_44
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f686,f669,f602,f1896]) ).
fof(f1896,plain,
( spl4_180
<=> ! [X0,X1] :
( ~ s_m(X0,X1,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_180])]) ).
fof(f686,plain,
( ! [X0,X1] :
( ~ s_m(X0,X1,X1)
| X0 = X1 )
| ~ spl4_44
| ~ spl4_49 ),
inference(resolution,[],[f670,f603]) ).
fof(f1894,plain,
( spl4_179
| ~ spl4_21
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f684,f665,f500,f1892]) ).
fof(f684,plain,
( ! [X0,X1] : s_e(X1,X0,s(X0,X1),X0)
| ~ spl4_21
| ~ spl4_48 ),
inference(superposition,[],[f666,f501]) ).
fof(f1890,plain,
( spl4_178
| ~ spl4_21
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f682,f665,f500,f1888]) ).
fof(f682,plain,
( ! [X0,X1] : s_e(X0,X1,X0,s(X0,X1))
| ~ spl4_21
| ~ spl4_48 ),
inference(superposition,[],[f666,f501]) ).
fof(f1864,plain,
( spl4_177
| ~ spl4_22
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f613,f540,f504,f1862]) ).
fof(f613,plain,
( ! [X0,X1] : s_t(X0,X1,s(X1,X0))
| ~ spl4_22
| ~ spl4_29 ),
inference(resolution,[],[f541,f505]) ).
fof(f1858,plain,
( spl4_176
| ~ spl4_2
| ~ spl4_125 ),
inference(avatar_split_clause,[],[f1246,f1231,f417,f1856]) ).
fof(f1246,plain,
( ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK1))
| s_t(s(sK3,sK0),s(sK3,sK1),X0)
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK2)) )
| ~ spl4_2
| ~ spl4_125 ),
inference(resolution,[],[f1232,f419]) ).
fof(f1818,plain,
( spl4_174
| spl4_172
| spl4_175
| ~ spl4_2
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1076,f1003,f417,f1815,f1800,f1811]) ).
fof(f1076,plain,
( xb = s(sK3,sK0)
| s(sK3,sK0) = s(sK3,sK1)
| sameside(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_2
| ~ spl4_97 ),
inference(resolution,[],[f1004,f419]) ).
fof(f1809,plain,
( ~ spl4_173
| ~ spl4_100
| spl4_171 ),
inference(avatar_split_clause,[],[f1804,f1796,f1015,f1806]) ).
fof(f1804,plain,
( ~ s_t(sK1,sK0,sK2)
| ~ spl4_100
| spl4_171 ),
inference(resolution,[],[f1798,f1016]) ).
fof(f1803,plain,
( ~ spl4_171
| spl4_172
| ~ spl4_2
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f788,f768,f417,f1800,f1796]) ).
fof(f788,plain,
( s(sK3,sK0) = s(sK3,sK1)
| ~ s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_2
| ~ spl4_63 ),
inference(resolution,[],[f769,f419]) ).
fof(f1783,plain,
( spl4_170
| ~ spl4_11
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f618,f556,f460,f1781]) ).
fof(f1781,plain,
( spl4_170
<=> ! [X0,X1] : s_col(X0,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_170])]) ).
fof(f618,plain,
( ! [X0,X1] : s_col(X0,X1,X1)
| ~ spl4_11
| ~ spl4_33 ),
inference(resolution,[],[f557,f461]) ).
fof(f1748,plain,
spl4_169,
inference(avatar_split_clause,[],[f391,f1746]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) )
& ( s_e(X2,X3,X6,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X3,X4,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X1,X2,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X2,X4,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X4,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X0,X1,X2)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X11,X14,X13,X16,X29,X30,X31,X32] :
( ( s_ifs(X11,X14,X13,X16,X29,X30,X31,X32)
| ~ s_e(X13,X16,X31,X32)
| ~ s_e(X11,X16,X29,X32)
| ~ s_e(X14,X13,X30,X31)
| ~ s_e(X11,X13,X29,X31)
| ~ s_t(X29,X30,X31)
| ~ s_t(X11,X14,X13) )
& ( s_e(X13,X16,X31,X32)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X11,X16,X29,X32)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X14,X13,X30,X31)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X11,X13,X29,X31)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_t(X29,X30,X31)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_t(X11,X14,X13)
| ~ s_ifs(X11,X14,X13,X16,X29,X30,X31,X32) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_1) ).
fof(f1744,plain,
spl4_168,
inference(avatar_split_clause,[],[f384,f1742]) ).
fof(f1742,plain,
( spl4_168
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( s_afs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_168])]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_afs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( s_afs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) )
& ( s_e(X1,X3,X5,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X3,X4,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X1,X2,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X1,X4,X5)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X4,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X0,X1,X2)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X11,X14,X13,X16,X29,X30,X31,X32] :
( ( s_afs(X11,X14,X13,X16,X29,X30,X31,X32)
| ~ s_e(X14,X16,X30,X32)
| ~ s_e(X11,X16,X29,X32)
| ~ s_e(X14,X13,X30,X31)
| ~ s_e(X11,X14,X29,X30)
| ~ s_t(X29,X30,X31)
| ~ s_t(X11,X14,X13) )
& ( s_e(X14,X16,X30,X32)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X11,X16,X29,X32)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X14,X13,X30,X31)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_e(X11,X14,X29,X30)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_t(X29,X30,X31)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) )
& ( s_t(X11,X14,X13)
| ~ s_afs(X11,X14,X13,X16,X29,X30,X31,X32) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn2_10) ).
fof(f1732,plain,
spl4_167,
inference(avatar_split_clause,[],[f393,f1730]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X7,X8,X2,X9,X3,X10] :
( s_e(X2,X3,X9,X10)
| X0 = X1
| ~ s_t(X7,X8,X9)
| ~ s_t(X0,X1,X2)
| ~ s_e(X1,X3,X8,X10)
| ~ s_e(X0,X3,X7,X10)
| ~ s_e(X1,X2,X8,X9)
| ~ s_e(X0,X1,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA5) ).
fof(f1722,plain,
spl4_166,
inference(avatar_split_clause,[],[f371,f1720]) ).
fof(f371,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) )
& ( s_m(X6,X5,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_m(X0,X1,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X6,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X0,X3,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X2,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
inference(rectify,[],[f117]) ).
fof(f117,axiom,
! [X19,X37,X20,X13,X35,X38,X33] :
( ( s_kf(X19,X37,X20,X13,X35,X38,X33)
| ~ s_m(X33,X38,X35)
| ~ s_m(X19,X37,X20)
| ~ s_e(X13,X33,X13,X35)
| ~ s_e(X13,X19,X13,X20)
| ~ s_t(X20,X13,X35)
| ~ s_t(X19,X13,X33) )
& ( s_m(X33,X38,X35)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) )
& ( s_m(X19,X37,X20)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) )
& ( s_e(X13,X33,X13,X35)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) )
& ( s_e(X13,X19,X13,X20)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) )
& ( s_t(X20,X13,X35)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) )
& ( s_t(X19,X13,X33)
| ~ s_kf(X19,X37,X20,X13,X35,X38,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_23) ).
fof(f1710,plain,
spl4_165,
inference(avatar_split_clause,[],[f372,f1708]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X11,X14,X12,X15,X13,X16,X17] :
( s_col(X12,X15,X17)
| ~ s_col(X11,X14,X17)
| X13 = X16
| ~ s_col(X12,X15,X16)
| ~ s_col(X11,X14,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X11,X14,X13)
| X12 = X15
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_21) ).
fof(f1701,plain,
spl4_164,
inference(avatar_split_clause,[],[f377,f1699]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) )
& ( s_e(X1,X3,X5,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X3,X4,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_col(X0,X1,X2)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
inference(rectify,[],[f113]) ).
fof(f113,axiom,
! [X11,X14,X13,X16,X19,X20,X21,X25] :
( ( s_fs(X11,X14,X13,X16,X19,X20,X21,X25)
| ~ s_e(X14,X16,X20,X25)
| ~ s_e(X11,X16,X19,X25)
| ~ s_e3(X11,X14,X13,X19,X20,X21)
| ~ s_col(X11,X14,X13) )
& ( s_e(X14,X16,X20,X25)
| ~ s_fs(X11,X14,X13,X16,X19,X20,X21,X25) )
& ( s_e(X11,X16,X19,X25)
| ~ s_fs(X11,X14,X13,X16,X19,X20,X21,X25) )
& ( s_e3(X11,X14,X13,X19,X20,X21)
| ~ s_fs(X11,X14,X13,X16,X19,X20,X21,X25) )
& ( s_col(X11,X14,X13)
| ~ s_fs(X11,X14,X13,X16,X19,X20,X21,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_15) ).
fof(f1690,plain,
spl4_163,
inference(avatar_split_clause,[],[f355,f1688]) ).
fof(f355,plain,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5] :
( X4 = X5
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X26,X11,X14,X13,X12,X15] :
( X12 = X15
| ~ s_e(X11,X15,X14,X13)
| ~ sameside(X15,X11,X26)
| ~ s_e(X11,X12,X14,X13)
| ~ sameside(X12,X11,X26)
| X13 = X14
| X11 = X26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11b) ).
fof(f1677,plain,
spl4_162,
inference(avatar_split_clause,[],[f313,f1675]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( sameside(X3,X0,X2)
| sameside(X3,X0,X1)
| X0 = X3
| ~ s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( sameside(X3,X0,X2)
| sameside(X3,X0,X1)
| X0 = X3
| ~ s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
! [X12,X15,X26,X11] :
( sameside(X11,X12,X26)
| sameside(X11,X12,X15)
| X11 = X12
| ~ s_col(X11,X12,X15)
| ~ s_t(X15,X12,X26)
| X12 = X26
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15a) ).
fof(f1661,plain,
spl4_161,
inference(avatar_split_clause,[],[f399,f1659]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(definition_unfolding,[],[f340,f299]) ).
fof(f299,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X11,X14,X19,X21] : insert(X11,X14,X19,X21) = ext(ext(X21,X19,alpha,gamma),X19,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( ( s_e3(X0,X1,X2,X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) )
& ( s_t(X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X11,X14,X13,X19,X21] :
( ( s_e3(X11,X14,X13,X19,insert(X11,X14,X19,X21),X21)
| ~ s_e(X11,X13,X19,X21)
| ~ s_t(X11,X14,X13) )
& ( s_t(X19,insert(X11,X14,X19,X21),X21)
| ~ s_e(X11,X13,X19,X21)
| ~ s_t(X11,X14,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_5) ).
fof(f1657,plain,
spl4_160,
inference(avatar_split_clause,[],[f398,f1655]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ins(X2,X3,X0,X1) = ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f306,f299]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) )
& ( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
& ( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X11,X14,X13,X16] :
( ( ins(X13,X16,X11,X14) = ext(X11,X14,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) )
& ( s_e(X11,ins(X13,X16,X11,X14),X13,X16)
| ~ le(X11,X14,X13,X16) )
& ( s_t(X11,X14,ins(X13,X16,X11,X14))
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(f1639,plain,
( spl4_158
| ~ spl4_159
| ~ spl4_27
| ~ spl4_148 ),
inference(avatar_split_clause,[],[f1531,f1471,f525,f1636,f1632]) ).
fof(f1531,plain,
( ~ s_t(sK2,sK0,sK2)
| s(sK3,sK1) = s(sK3,sK2)
| ~ spl4_27
| ~ spl4_148 ),
inference(resolution,[],[f1472,f526]) ).
fof(f1616,plain,
spl4_157,
inference(avatar_split_clause,[],[f360,f1614]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X11,X14,X13,X22,X23,X24] :
( s_e(X11,X13,X22,X24)
| ~ s_e(X14,X13,X22,X23)
| ~ s_e(X11,X14,X23,X24)
| ~ s_t(X22,X23,X24)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_15) ).
fof(f1612,plain,
spl4_156,
inference(avatar_split_clause,[],[f359,f1610]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X11,X14,X13,X19,X20,X21] :
( s_e(X11,X13,X19,X21)
| ~ s_e(X14,X13,X20,X21)
| ~ s_e(X11,X14,X19,X20)
| ~ s_t(X19,X20,X21)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_11) ).
fof(f1608,plain,
spl4_155,
inference(avatar_split_clause,[],[f358,f1606]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X11,X14,X13,X19,X20,X21] :
( s_e(X11,X14,X19,X20)
| ~ s_e(X14,X13,X20,X21)
| ~ s_e(X11,X13,X19,X21)
| ~ s_t(X19,X20,X21)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_3) ).
fof(f1604,plain,
spl4_154,
inference(avatar_split_clause,[],[f356,f1602]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X11,X14,X13,X19,X20,X21] :
( s_e(X11,X13,X19,X21)
| ~ s_e(X14,X13,X20,X21)
| ~ s_e(X14,X11,X20,X19)
| ~ sameside(X19,X20,X21)
| ~ sameside(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_28) ).
fof(f1522,plain,
spl4_153,
inference(avatar_split_clause,[],[f354,f1520]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) )
& ( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f111]) ).
fof(f111,axiom,
! [X19,X33,X34,X20,X35,X36] :
( ( s_e3(X19,X33,X34,X20,X35,X36)
| ~ s_e(X33,X34,X35,X36)
| ~ s_e(X19,X34,X20,X36)
| ~ s_e(X19,X33,X20,X35) )
& ( s_e(X33,X34,X35,X36)
| ~ s_e3(X19,X33,X34,X20,X35,X36) )
& ( s_e(X19,X34,X20,X36)
| ~ s_e3(X19,X33,X34,X20,X35,X36) )
& ( s_e(X19,X33,X20,X35)
| ~ s_e3(X19,X33,X34,X20,X35,X36) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(f1518,plain,
spl4_152,
inference(avatar_split_clause,[],[f350,f1516]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
& ( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X11,X14,X13,X19,X20,X12] :
( ( s_t(X14,crossbar(X11,X14,X13,X19,X20,X12),X20)
| ~ s_t(X11,X12,X19)
| ~ s_t(X19,X20,X13)
| ~ s_t(X11,X14,X13) )
& ( s_t(X12,crossbar(X11,X14,X13,X19,X20,X12),X13)
| ~ s_t(X11,X12,X19)
| ~ s_t(X19,X20,X13)
| ~ s_t(X11,X14,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_17) ).
fof(f1514,plain,
spl4_151,
inference(avatar_split_clause,[],[f349,f1512]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1510,plain,
spl4_150,
inference(avatar_split_clause,[],[f345,f1508]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X4] :
( s_e(X2,X3,X2,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4] :
( s_e(X2,X3,X2,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X11,X14,X13,X12,X15] :
( s_e(X13,X12,X13,X15)
| ~ s_e(X14,X12,X14,X15)
| ~ s_e(X11,X12,X11,X15)
| ~ s_col(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_17) ).
fof(f1506,plain,
spl4_149,
inference(avatar_split_clause,[],[f344,f1504]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X11,X14,X12,X15,X26] :
( s_col(X11,X14,X26)
| ~ s_col(X12,X15,X26)
| ~ s_col(X12,X15,X14)
| ~ s_col(X12,X15,X11)
| X12 = X15
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_18) ).
fof(f1473,plain,
( spl4_148
| ~ spl4_100
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f1414,f1169,f1015,f1471]) ).
fof(f1414,plain,
( ! [X0] :
( s_t(s(sK3,X0),s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,sK0,sK2) )
| ~ spl4_100
| ~ spl4_120 ),
inference(resolution,[],[f1170,f1016]) ).
fof(f1469,plain,
spl4_147,
inference(avatar_split_clause,[],[f400,f1467]) ).
fof(f400,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(definition_unfolding,[],[f339,f299]) ).
fof(f339,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f1465,plain,
spl4_146,
inference(avatar_split_clause,[],[f347,f1463]) ).
fof(f347,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X11,X14,X13,X19,X20] :
( s_e3(X11,X14,X13,X19,X20,insert5(X11,X14,X13,X19,X20))
| ~ s_e(X11,X14,X19,X20)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_14) ).
fof(f1461,plain,
spl4_145,
inference(avatar_split_clause,[],[f308,f1459]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X11,X12,X14,X13] :
( ~ sameside(X11,X12,X14)
| s_t(X14,X12,X13)
| ~ s_t(X11,X12,X13)
| X12 = X13
| X12 = X14
| X11 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2b) ).
fof(f1457,plain,
spl4_144,
inference(avatar_split_clause,[],[f307,f1455]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X11,X12,X14,X13] :
( sameside(X11,X12,X14)
| ~ s_t(X14,X12,X13)
| ~ s_t(X11,X12,X13)
| X12 = X13
| X12 = X14
| X11 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2a) ).
fof(f1442,plain,
spl4_143,
inference(avatar_split_clause,[],[f392,f1440]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X11,X14,X13,X16,X19,X20,X21,X25] :
( le(X19,X20,X21,X25)
| ~ s_e(X13,X16,X21,X25)
| ~ s_e(X11,X14,X19,X20)
| ~ le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
fof(f1438,plain,
spl4_142,
inference(avatar_split_clause,[],[f314,f1436]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ s_e(X1,X2,X1,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ s_e(X1,X2,X1,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X11,X14,X13,X21] :
( X13 = X21
| ~ s_e(X14,X13,X14,X21)
| ~ s_e(X11,X13,X11,X21)
| ~ s_col(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_18) ).
fof(f1389,plain,
spl4_141,
inference(avatar_split_clause,[],[f346,f1387]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X4] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X15,X11,X16,X14,X13] :
( ext(X15,X11,X14,X13) = X16
| ~ s_e(X11,X16,X14,X13)
| ~ s_t(X15,X11,X16)
| X11 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(f1385,plain,
spl4_140,
inference(avatar_split_clause,[],[f317,f1383]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X16,X13)
| s_t(X11,X13,X16)
| ~ s_t(X11,X14,X16)
| ~ s_t(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_1) ).
fof(f1381,plain,
spl4_139,
inference(avatar_split_clause,[],[f316,f1379]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X16,X13)
| s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16)
| ~ s_t(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_2) ).
fof(f1377,plain,
spl4_138,
inference(avatar_split_clause,[],[f315,f1375]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( s_t(X2,X3,X1)
| s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( s_t(X2,X3,X1)
| s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X11,X14,X13,X16] :
( s_t(X13,X16,X14)
| s_t(X16,X13,X14)
| ~ s_t(X16,X11,X14)
| ~ s_t(X13,X11,X14)
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_16a) ).
fof(f1349,plain,
( spl4_137
| ~ spl4_2
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f898,f831,f417,f1347]) ).
fof(f898,plain,
( ! [X0] :
( s_t(s(sK3,sK0),X0,s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1)) )
| ~ spl4_2
| ~ spl4_73 ),
inference(resolution,[],[f832,f419]) ).
fof(f1345,plain,
spl4_136,
inference(avatar_split_clause,[],[f397,f1343]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(definition_unfolding,[],[f302,f299]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ( s_e(X1,insert(X2,X3,X1,X0),X2,X3)
| X2 = X3
| X0 = X1 )
& ( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11a) ).
fof(f1341,plain,
spl4_135,
inference(avatar_split_clause,[],[f311,f1339]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( s_col(X3,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( s_col(X3,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X12,X15,X26,X11] :
( s_col(X11,X12,X15)
| ~ sameside(X11,X12,X26)
| ~ s_t(X15,X12,X26)
| X12 = X26
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15c) ).
fof(f1337,plain,
spl4_134,
inference(avatar_split_clause,[],[f309,f1335]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X12,X15,X27,X26] :
( s_col(X12,X27,X26)
| ~ s_col(X12,X15,X26)
| ~ s_col(X12,X15,X27)
| X12 = X27
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_16b) ).
fof(f1333,plain,
spl4_133,
inference(avatar_split_clause,[],[f291,f1331]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X11,X14,X13] :
( ~ le(X14,X13,X11,X13)
| ~ le(X11,X14,X11,X13)
| s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12b) ).
fof(f1278,plain,
spl4_132,
inference(avatar_split_clause,[],[f402,f1276]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f341,f299]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4] :
( ( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) )
& ( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) )
& ( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X11,X14,X13,X16,X1] :
( ( le(X11,X14,X13,X16)
| ~ s_e(X11,X14,X13,X1)
| ~ s_t(X13,X1,X16) )
& ( s_e(X11,X14,X13,insert(X11,X14,X13,X16))
| ~ le(X11,X14,X13,X16) )
& ( s_t(X13,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(f1274,plain,
( spl4_131
| ~ spl4_2
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f892,f827,f417,f1272]) ).
fof(f892,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK0),s(sK3,sK1))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_2
| ~ spl4_72 ),
inference(resolution,[],[f828,f419]) ).
fof(f1270,plain,
spl4_130,
inference(avatar_split_clause,[],[f394,f1268]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X2,X3,X6,X7)
| X0 = X1
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X2,X3,X6,X7)
| X0 = X1
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X11,X14,X13,X16,X19,X20,X21,X25] :
( s_e(X13,X16,X21,X25)
| X11 = X14
| ~ s_fs(X11,X14,X13,X16,X19,X20,X21,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_16) ).
fof(f1266,plain,
spl4_129,
inference(avatar_split_clause,[],[f338,f1264]) ).
fof(f338,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( ( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
& ( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X11,X12,X13,X14,X15] :
( ( s_t(X15,ip(X11,X12,X13,X14,X15),X11)
| ~ s_t(X14,X15,X13)
| ~ s_t(X11,X12,X13) )
& ( s_t(X12,ip(X11,X12,X13,X14,X15),X14)
| ~ s_t(X14,X15,X13)
| ~ s_t(X11,X12,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA7) ).
fof(f1262,plain,
spl4_128,
inference(avatar_split_clause,[],[f337,f1260]) ).
fof(f337,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1258,plain,
spl4_127,
inference(avatar_split_clause,[],[f327,f1256]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ s_e(X2,X1,X2,X3)
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ s_e(X2,X1,X2,X3)
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X11,X13,X14,X21] :
( X13 = X21
| ~ s_e(X14,X13,X14,X21)
| ~ s_e(X11,X13,X11,X21)
| ~ s_t(X11,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_19) ).
fof(f1237,plain,
spl4_126,
inference(avatar_split_clause,[],[f374,f1235]) ).
fof(f1235,plain,
( spl4_126
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_126])]) ).
fof(f374,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1233,plain,
spl4_125,
inference(avatar_split_clause,[],[f326,f1231]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X11,X14,X16,X13] :
( s_t(X11,X13,X14)
| s_t(X11,X14,X13)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_3) ).
fof(f1229,plain,
spl4_124,
inference(avatar_split_clause,[],[f274,f1227]) ).
fof(f1227,plain,
( spl4_124
<=> ! [X2,X0,X1] :
( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_124])]) ).
fof(f274,plain,
! [X2,X0,X1] :
( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
& ( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X11,X14,X13] :
( ( ~ s_t(X13,X11,X14)
| s_col(X11,X14,X13) )
& ( ~ s_t(X14,X13,X11)
| s_col(X11,X14,X13) )
& ( ~ s_t(X11,X14,X13)
| s_col(X11,X14,X13) )
& ( s_t(X13,X11,X14)
| s_t(X14,X13,X11)
| s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(f1225,plain,
( spl4_123
| ~ spl4_2
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f886,f818,f417,f1223]) ).
fof(f886,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(s(sK3,sK0),X0,s(sK3,sK1)) )
| ~ spl4_2
| ~ spl4_71 ),
inference(resolution,[],[f819,f419]) ).
fof(f1179,plain,
spl4_122,
inference(avatar_split_clause,[],[f364,f1177]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA2) ).
fof(f1175,plain,
spl4_121,
inference(avatar_split_clause,[],[f363,f1173]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X11,X14,X13,X16,X17,X18] :
( s_e(X11,X14,X17,X18)
| ~ s_e(X13,X16,X17,X18)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f1171,plain,
( spl4_120
| ~ spl4_2
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f880,f814,f417,f1169]) ).
fof(f880,plain,
( ! [X0] :
( s_t(X0,s(sK3,sK1),s(sK3,sK2))
| ~ s_t(X0,s(sK3,sK0),s(sK3,sK2)) )
| ~ spl4_2
| ~ spl4_70 ),
inference(resolution,[],[f815,f419]) ).
fof(f1167,plain,
spl4_119,
inference(avatar_split_clause,[],[f362,f1165]) ).
fof(f362,plain,
! [X2,X3,X0,X1,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X11,X14,X13,X16,X17,X18] :
( le(X11,X14,X17,X18)
| ~ le(X13,X16,X17,X18)
| ~ le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_8) ).
fof(f1163,plain,
spl4_118,
inference(avatar_split_clause,[],[f361,f1161]) ).
fof(f361,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X11,X14,X13,X19,X20,X21] :
( s_t(X19,X20,X21)
| ~ s_e3(X11,X14,X13,X19,X20,X21)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_6) ).
fof(f1159,plain,
spl4_117,
inference(avatar_split_clause,[],[f357,f1157]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_col(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_col(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X11,X14,X13,X19,X20,X21] :
( s_col(X19,X20,X21)
| ~ s_e3(X11,X14,X13,X19,X20,X21)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_13) ).
fof(f1155,plain,
spl4_116,
inference(avatar_split_clause,[],[f331,f1153]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X11,X14,X13,X16] :
( s_e(X11,X14,X13,X16)
| ~ le(X13,X16,X11,X14)
| ~ le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_9) ).
fof(f1151,plain,
spl4_115,
inference(avatar_split_clause,[],[f321,f1149]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X14,X16)
| X13 = X14
| ~ s_t(X14,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_7b) ).
fof(f1147,plain,
spl4_114,
inference(avatar_split_clause,[],[f320,f1145]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X2,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X2,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X13,X16)
| X13 = X14
| ~ s_t(X14,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_7a) ).
fof(f1075,plain,
spl4_113,
inference(avatar_split_clause,[],[f395,f1073]) ).
fof(f395,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X11,X14,X13,X16,X19,X20,X21,X25] :
( s_e(X14,X16,X20,X25)
| ~ s_ifs(X11,X14,X13,X16,X19,X20,X21,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_2) ).
fof(f1071,plain,
spl4_112,
inference(avatar_split_clause,[],[f390,f1069]) ).
fof(f1069,plain,
( spl4_112
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( s_e(X2,X3,X6,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_112])]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X2,X3,X6,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f1067,plain,
spl4_111,
inference(avatar_split_clause,[],[f389,f1065]) ).
fof(f1065,plain,
( spl4_111
<=> ! [X5,X6,X4,X1,X0,X3,X2,X7] :
( s_e(X0,X3,X4,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_111])]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X0,X3,X4,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f1063,plain,
spl4_110,
inference(avatar_split_clause,[],[f388,f1061]) ).
fof(f1061,plain,
( spl4_110
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( s_e(X1,X2,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_110])]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X2,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f1059,plain,
spl4_109,
inference(avatar_split_clause,[],[f387,f1057]) ).
fof(f1057,plain,
( spl4_109
<=> ! [X5,X3,X4,X1,X0,X6,X2,X7] :
( s_e(X0,X2,X4,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X0,X2,X4,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f1055,plain,
spl4_108,
inference(avatar_split_clause,[],[f383,f1053]) ).
fof(f1053,plain,
( spl4_108
<=> ! [X2,X3,X4,X7,X0,X6,X5,X1] :
( s_e(X1,X3,X5,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_108])]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X3,X5,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1051,plain,
spl4_107,
inference(avatar_split_clause,[],[f382,f1049]) ).
fof(f1049,plain,
( spl4_107
<=> ! [X5,X6,X4,X1,X0,X3,X2,X7] :
( s_e(X0,X3,X4,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).
fof(f382,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X0,X3,X4,X7)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1041,plain,
spl4_106,
inference(avatar_split_clause,[],[f381,f1039]) ).
fof(f1039,plain,
( spl4_106
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( s_e(X1,X2,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_106])]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X2,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1037,plain,
spl4_105,
inference(avatar_split_clause,[],[f380,f1035]) ).
fof(f1035,plain,
( spl4_105
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( s_e(X0,X1,X4,X5)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_105])]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1033,plain,
spl4_104,
inference(avatar_split_clause,[],[f376,f1031]) ).
fof(f1031,plain,
( spl4_104
<=> ! [X2,X3,X4,X7,X0,X6,X5,X1] :
( s_e(X1,X3,X5,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_104])]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X3,X5,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1029,plain,
spl4_103,
inference(avatar_split_clause,[],[f375,f1027]) ).
fof(f1027,plain,
( spl4_103
<=> ! [X5,X6,X4,X1,X0,X3,X2,X7] :
( s_e(X0,X3,X4,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_103])]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X0,X3,X4,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1025,plain,
spl4_102,
inference(avatar_split_clause,[],[f348,f1023]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X11,X14,X13,X16,X17] :
( ~ s_e(X11,X17,X13,X16)
| ~ s_t(X11,X14,X17)
| le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5b) ).
fof(f1021,plain,
spl4_101,
inference(avatar_split_clause,[],[f343,f1019]) ).
fof(f343,plain,
! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1017,plain,
spl4_100,
inference(avatar_split_clause,[],[f328,f1015]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X12,X15,X26,X11] :
( s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| ~ s_t(X12,X15,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(f1013,plain,
spl4_99,
inference(avatar_split_clause,[],[f305,f1011]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1009,plain,
spl4_98,
inference(avatar_split_clause,[],[f266,f1007]) ).
fof(f266,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) )
& ( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) )
& ( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) )
& ( X1 != X2
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f115]) ).
fof(f115,axiom,
! [X11,X12,X14] :
( ( sameside(X11,X12,X14)
| X12 = X14
| X11 = X12
| ~ s_t(X12,X14,X11) )
& ( sameside(X11,X12,X14)
| xb = X12
| X11 = X12
| ~ s_t(X12,X11,X14) )
& ( s_t(X12,X14,X11)
| s_t(X12,X11,X14)
| ~ sameside(X11,X12,X14) )
& ( X12 != X14
| ~ sameside(X11,X12,X14) )
& ( X11 != X12
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f1005,plain,
spl4_97,
inference(avatar_split_clause,[],[f265,f1003]) ).
fof(f265,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1001,plain,
( spl4_96
| ~ spl4_40
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f650,f621,f584,f998]) ).
fof(f998,plain,
( spl4_96
<=> s_col(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).
fof(f650,plain,
( s_col(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0))
| ~ spl4_40
| ~ spl4_46 ),
inference(resolution,[],[f623,f585]) ).
fof(f985,plain,
( spl4_95
| ~ spl4_41
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f649,f621,f590,f982]) ).
fof(f982,plain,
( spl4_95
<=> s_col(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).
fof(f649,plain,
( s_col(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2))
| ~ spl4_41
| ~ spl4_46 ),
inference(resolution,[],[f623,f591]) ).
fof(f969,plain,
spl4_94,
inference(avatar_split_clause,[],[f386,f967]) ).
fof(f967,plain,
( spl4_94
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( s_t(X4,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_t(X4,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f965,plain,
spl4_93,
inference(avatar_split_clause,[],[f385,f963]) ).
fof(f963,plain,
( spl4_93
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_t(X0,X1,X2)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f221]) ).
fof(f961,plain,
spl4_92,
inference(avatar_split_clause,[],[f379,f959]) ).
fof(f959,plain,
( spl4_92
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( s_t(X4,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_t(X4,X5,X6)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f957,plain,
spl4_91,
inference(avatar_split_clause,[],[f378,f955]) ).
fof(f955,plain,
( spl4_91
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( s_t(X0,X1,X2)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_t(X0,X1,X2)
| ~ s_afs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f220]) ).
fof(f953,plain,
spl4_90,
inference(avatar_split_clause,[],[f373,f951]) ).
fof(f951,plain,
( spl4_90
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( s_col(X0,X1,X2)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_col(X0,X1,X2)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f219]) ).
fof(f949,plain,
spl4_89,
inference(avatar_split_clause,[],[f368,f947]) ).
fof(f947,plain,
( spl4_89
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( s_e(X3,X6,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_e(X3,X6,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f945,plain,
spl4_88,
inference(avatar_split_clause,[],[f367,f943]) ).
fof(f943,plain,
( spl4_88
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s_e(X3,X0,X3,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_e(X3,X0,X3,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f941,plain,
( spl4_87
| ~ spl4_42
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f648,f621,f594,f938]) ).
fof(f938,plain,
( spl4_87
<=> s_col(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).
fof(f648,plain,
( s_col(s(sK3,sK0),s(sK3,sK2),s(sK3,sK1))
| ~ spl4_42
| ~ spl4_46 ),
inference(resolution,[],[f623,f595]) ).
fof(f936,plain,
spl4_86,
inference(avatar_split_clause,[],[f304,f934]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f932,plain,
spl4_85,
inference(avatar_split_clause,[],[f285,f930]) ).
fof(f930,plain,
( spl4_85
<=> ! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).
fof(f285,plain,
! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X11,X14,X13] :
( le(X11,X14,X11,X13)
| ~ s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12a1) ).
fof(f928,plain,
spl4_84,
inference(avatar_split_clause,[],[f284,f926]) ).
fof(f284,plain,
! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X11,X14,X13] :
( le(X14,X13,X11,X13)
| ~ s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12a2) ).
fof(f924,plain,
spl4_83,
inference(avatar_split_clause,[],[f283,f922]) ).
fof(f922,plain,
( spl4_83
<=> ! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X11,X12,X14] :
( ~ s_t(X12,X11,X14)
| le(X12,X11,X12,X14)
| ~ sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_13b) ).
fof(f920,plain,
spl4_82,
inference(avatar_split_clause,[],[f282,f918]) ).
fof(f282,plain,
! [X2,X0,X1] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X11,X12,X14] :
( s_t(X12,X11,X14)
| ~ le(X12,X11,X12,X14)
| ~ sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_13a) ).
fof(f916,plain,
spl4_81,
inference(avatar_split_clause,[],[f261,f914]) ).
fof(f261,plain,
! [X2,X0,X1] :
( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) )
& ( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) )
& ( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X11,X28,X14] :
( ( s_m(X11,X28,X14)
| ~ s_e(X28,X11,X28,X14)
| ~ s_t(X11,X28,X14) )
& ( s_e(X28,X11,X28,X14)
| ~ s_m(X11,X28,X14) )
& ( s_t(X11,X28,X14)
| ~ s_m(X11,X28,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f861,plain,
spl4_80,
inference(avatar_split_clause,[],[f370,f859]) ).
fof(f859,plain,
( spl4_80
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( s_m(X6,X5,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_m(X6,X5,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f857,plain,
spl4_79,
inference(avatar_split_clause,[],[f369,f855]) ).
fof(f855,plain,
( spl4_79
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s_m(X0,X1,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_m(X0,X1,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f853,plain,
spl4_78,
inference(avatar_split_clause,[],[f366,f851]) ).
fof(f851,plain,
( spl4_78
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( s_t(X2,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X2,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f849,plain,
spl4_77,
inference(avatar_split_clause,[],[f365,f847]) ).
fof(f847,plain,
( spl4_77
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( s_t(X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f217]) ).
fof(f845,plain,
spl4_76,
inference(avatar_split_clause,[],[f353,f843]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f207]) ).
fof(f841,plain,
spl4_75,
inference(avatar_split_clause,[],[f352,f839]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f207]) ).
fof(f837,plain,
spl4_74,
inference(avatar_split_clause,[],[f351,f835]) ).
fof(f835,plain,
( spl4_74
<=> ! [X5,X4,X2,X0,X3,X1] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f207]) ).
fof(f833,plain,
spl4_73,
inference(avatar_split_clause,[],[f325,f831]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X14,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(f829,plain,
spl4_72,
inference(avatar_split_clause,[],[f324,f827]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X11,X14,X16,X13] :
( s_t(X11,X14,X13)
| ~ s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_5a) ).
fof(f820,plain,
spl4_71,
inference(avatar_split_clause,[],[f323,f818]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X13,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6a) ).
fof(f816,plain,
spl4_70,
inference(avatar_split_clause,[],[f322,f814]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X11,X14,X16,X13] :
( s_t(X11,X13,X16)
| ~ s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_5b) ).
fof(f812,plain,
spl4_69,
inference(avatar_split_clause,[],[f319,f810]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X11,X12,X14,X13] :
( sameside(X11,X12,X13)
| ~ sameside(X14,X12,X13)
| ~ sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_7) ).
fof(f808,plain,
spl4_68,
inference(avatar_split_clause,[],[f295,f806]) ).
fof(f295,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X11,X12,X14] :
( s_t(X11,X12,X14)
| ~ s_col(X11,X12,X14)
| sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(f804,plain,
spl4_67,
inference(avatar_split_clause,[],[f294,f802]) ).
fof(f294,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X11,X14,X13] :
( X13 = X14
| ~ s_e(X11,X13,X11,X14)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNarbouxLemma1) ).
fof(f800,plain,
spl4_66,
inference(avatar_split_clause,[],[f264,f798]) ).
fof(f264,plain,
! [X2,X0,X1] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f779,plain,
( spl4_65
| ~ spl4_2
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f645,f598,f417,f776]) ).
fof(f645,plain,
( s_t(s(sK3,sK2),s(sK3,sK1),s(sK3,sK0))
| ~ spl4_2
| ~ spl4_43 ),
inference(resolution,[],[f599,f419]) ).
fof(f774,plain,
spl4_64,
inference(avatar_split_clause,[],[f318,f772]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X12,X11,X26,X15] :
( X15 = X26
| ~ s_m(X12,X11,X15)
| ~ s_m(X12,X11,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4b) ).
fof(f770,plain,
spl4_63,
inference(avatar_split_clause,[],[f292,f768]) ).
fof(f292,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X11,X14,X13] :
( X11 = X14
| ~ s_t(X14,X11,X13)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_4) ).
fof(f766,plain,
spl4_62,
inference(avatar_split_clause,[],[f271,f764]) ).
fof(f271,plain,
! [X2,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
& ( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
& ( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) )
& ( X1 != X2
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X11,X12,X14] :
( ( s_t(X14,X12,c63(X11,X12,X14))
| ~ sameside(X11,X12,X14) )
& ( s_t(X11,X12,c63(X11,X12,X14))
| ~ sameside(X11,X12,X14) )
& ( c63(X11,X12,X14) != X12
| ~ sameside(X11,X12,X14) )
& ( X12 != X14
| ~ sameside(X11,X12,X14) )
& ( X11 != X12
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_3a) ).
fof(f762,plain,
spl4_61,
inference(avatar_split_clause,[],[f270,f760]) ).
fof(f270,plain,
! [X2,X0,X1] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f728,plain,
( spl4_60
| ~ spl4_2
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f628,f564,f417,f725]) ).
fof(f628,plain,
( s_col(s(sK3,sK1),s(sK3,sK2),s(sK3,sK0))
| ~ spl4_2
| ~ spl4_35 ),
inference(resolution,[],[f565,f419]) ).
fof(f723,plain,
spl4_59,
inference(avatar_split_clause,[],[f336,f721]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X11,X14,X13,X16] :
( le(X13,X16,X11,X14)
| le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_10) ).
fof(f719,plain,
spl4_58,
inference(avatar_split_clause,[],[f335,f717]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X11,X14,X13,X16] :
( s_e(X14,X11,X16,X13)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f715,plain,
spl4_57,
inference(avatar_split_clause,[],[f334,f713]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X11,X14,X13,X16] :
( s_e(X11,X14,X16,X13)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f711,plain,
spl4_56,
inference(avatar_split_clause,[],[f333,f709]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X14,X13,X16] :
( s_e(X14,X11,X13,X16)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_4) ).
fof(f707,plain,
spl4_55,
inference(avatar_split_clause,[],[f332,f705]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X11,X14,X13,X16] :
( s_e(X13,X16,X11,X14)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f703,plain,
spl4_54,
inference(avatar_split_clause,[],[f298,f701]) ).
fof(f298,plain,
! [X2,X0,X1] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
inference(rectify,[],[f101]) ).
fof(f101,axiom,
! [X11,X12,X15] :
( X12 = X15
| s(X11,X12) != s(X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_9) ).
fof(f699,plain,
spl4_53,
inference(avatar_split_clause,[],[f269,f697]) ).
fof(f697,plain,
( spl4_53
<=> ! [X2,X0,X1] :
( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f269,plain,
! [X2,X0,X1] :
( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f691,plain,
( spl4_52
| ~ spl4_2
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f625,f560,f417,f688]) ).
fof(f625,plain,
( s_col(s(sK3,sK2),s(sK3,sK0),s(sK3,sK1))
| ~ spl4_2
| ~ spl4_34 ),
inference(resolution,[],[f561,f419]) ).
fof(f679,plain,
spl4_51,
inference(avatar_split_clause,[],[f301,f677]) ).
fof(f301,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X6,X3] :
( s_e(X1,ext(X0,X1,X6,X3),X6,X3)
& s_t(X0,X1,ext(X0,X1,X6,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA4) ).
fof(f675,plain,
spl4_50,
inference(avatar_split_clause,[],[f280,f673]) ).
fof(f280,plain,
! [X2,X0,X1] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X12,X11,X15] :
( s(X11,X12) = X15
| ~ s_m(X12,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f671,plain,
spl4_49,
inference(avatar_split_clause,[],[f260,f669]) ).
fof(f260,plain,
! [X2,X0,X1] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f667,plain,
spl4_48,
inference(avatar_split_clause,[],[f258,f665]) ).
fof(f258,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X12,X15,X11] : s_e(X12,X15,s(X11,X12),s(X11,X15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f663,plain,
spl4_47,
inference(avatar_split_clause,[],[f251,f661]) ).
fof(f661,plain,
( spl4_47
<=> ! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f251,plain,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X11,X14] :
( ~ s_col(X11,X14,pointOffLine(X11,X14))
| X11 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_25) ).
fof(f624,plain,
( spl4_46
| ~ spl4_2
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f617,f556,f417,f621]) ).
fof(f617,plain,
( s_col(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
| ~ spl4_2
| ~ spl4_33 ),
inference(resolution,[],[f557,f419]) ).
fof(f608,plain,
spl4_45,
inference(avatar_split_clause,[],[f300,f606]) ).
fof(f300,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f165]) ).
fof(f604,plain,
spl4_44,
inference(avatar_split_clause,[],[f296,f602]) ).
fof(f296,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X14,X13,X11] :
( X13 = X14
| ~ s_e(X14,X13,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f600,plain,
spl4_43,
inference(avatar_split_clause,[],[f293,f598]) ).
fof(f293,plain,
! [X2,X0,X1] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X11,X14,X13] :
( s_t(X13,X14,X11)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(f596,plain,
spl4_42,
inference(avatar_split_clause,[],[f290,f594]) ).
fof(f290,plain,
! [X2,X0,X1] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X11,X14,X13] :
( s_col(X11,X13,X14)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11e) ).
fof(f592,plain,
spl4_41,
inference(avatar_split_clause,[],[f289,f590]) ).
fof(f289,plain,
! [X2,X0,X1] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X11,X14,X13] :
( s_col(X14,X11,X13)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(f586,plain,
spl4_40,
inference(avatar_split_clause,[],[f288,f584]) ).
fof(f288,plain,
! [X2,X0,X1] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X11,X14,X13] :
( s_col(X13,X14,X11)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(f582,plain,
spl4_39,
inference(avatar_split_clause,[],[f287,f580]) ).
fof(f287,plain,
! [X2,X0,X1] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X11,X14,X13] :
( s_col(X13,X11,X14)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(f578,plain,
spl4_38,
inference(avatar_split_clause,[],[f286,f576]) ).
fof(f286,plain,
! [X2,X0,X1] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X11,X14,X13] :
( s_col(X14,X13,X11)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11a) ).
fof(f574,plain,
spl4_37,
inference(avatar_split_clause,[],[f281,f572]) ).
fof(f281,plain,
! [X2,X0,X1] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X11,X12,X14] :
( sameside(X14,X12,X11)
| ~ sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_6) ).
fof(f570,plain,
spl4_36,
inference(avatar_split_clause,[],[f279,f568]) ).
fof(f279,plain,
! [X2,X0,X1] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X11,X28,X14] :
( s_m(X14,X28,X11)
| ~ s_m(X11,X28,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_2) ).
fof(f566,plain,
spl4_35,
inference(avatar_split_clause,[],[f277,f564]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f562,plain,
spl4_34,
inference(avatar_split_clause,[],[f276,f560]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f558,plain,
spl4_33,
inference(avatar_split_clause,[],[f275,f556]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f554,plain,
spl4_32,
inference(avatar_split_clause,[],[f273,f552]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) )
& ( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X11,X12,X14] :
( ( ~ s_t(X11,X12,X14)
| ~ sameside(X11,X12,X14) )
& ( s_col(X11,X12,X14)
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4a) ).
fof(f550,plain,
spl4_31,
inference(avatar_split_clause,[],[f272,f548]) ).
fof(f272,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f546,plain,
( spl4_30
| ~ spl4_22
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f529,f513,f504,f544]) ).
fof(f529,plain,
( ! [X0,X1] : s_m(s(X0,X1),X0,X1)
| ~ spl4_22
| ~ spl4_24 ),
inference(superposition,[],[f505,f514]) ).
fof(f542,plain,
spl4_29,
inference(avatar_split_clause,[],[f259,f540]) ).
fof(f259,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f538,plain,
spl4_28,
inference(avatar_split_clause,[],[f255,f536]) ).
fof(f536,plain,
( spl4_28
<=> ! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f255,plain,
! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X11,X12] :
( X11 = X12
| s(X11,X12) != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10a) ).
fof(f527,plain,
spl4_27,
inference(avatar_split_clause,[],[f253,f525]) ).
fof(f253,plain,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA6) ).
fof(f523,plain,
spl4_26,
inference(avatar_split_clause,[],[f252,f521]) ).
fof(f521,plain,
( spl4_26
<=> ! [X0,X1] :
( X0 = X1
| ~ s_m(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f252,plain,
! [X0,X1] :
( X0 = X1
| ~ s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| ~ s_m(X0,X1,X0) ),
inference(rectify,[],[f94]) ).
fof(f94,axiom,
! [X11,X28] :
( X11 = X28
| ~ s_m(X11,X28,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3a) ).
fof(f519,plain,
spl4_25,
inference(avatar_split_clause,[],[f249,f517]) ).
fof(f249,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X11,X12] :
( sameside(X11,X12,X11)
| X11 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
fof(f515,plain,
spl4_24,
inference(avatar_split_clause,[],[f247,f513]) ).
fof(f247,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X11,X12] : s(X11,s(X11,X12)) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f511,plain,
spl4_23,
inference(avatar_split_clause,[],[f246,f509]) ).
fof(f246,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X14,X11] : ext(X11,X14,alpha,gamma) != X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(f506,plain,
spl4_22,
inference(avatar_split_clause,[],[f245,f504]) ).
fof(f245,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X12,X11] : s_m(X12,X11,s(X11,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
fof(f502,plain,
spl4_21,
inference(avatar_split_clause,[],[f404,f500]) ).
fof(f404,plain,
! [X1] : s(X1,X1) = X1,
inference(equality_resolution,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X11,X12] :
( X11 != X12
| s(X11,X12) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(f498,plain,
spl4_20,
inference(avatar_split_clause,[],[f257,f496]) ).
fof(f257,plain,
! [X2,X0,X1] : le(X0,X0,X1,X2),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] : le(X0,X0,X1,X2),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X11,X13,X16] : le(X11,X11,X13,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_11) ).
fof(f494,plain,
spl4_19,
inference(avatar_split_clause,[],[f244,f492]) ).
fof(f244,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X11,X14] : s_e(X11,X11,X14,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
fof(f490,plain,
spl4_18,
inference(avatar_split_clause,[],[f243,f488]) ).
fof(f243,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X11,X14] : s_e(X11,X14,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_1) ).
fof(f486,plain,
spl4_17,
inference(avatar_split_clause,[],[f242,f484]) ).
fof(f242,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : s_e(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA1) ).
fof(f482,plain,
spl4_16,
inference(avatar_split_clause,[],[f241,f480]) ).
fof(f241,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X11,X14] : le(X11,X14,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_7) ).
fof(f478,plain,
spl4_15,
inference(avatar_split_clause,[],[f406,f476]) ).
fof(f476,plain,
( spl4_15
<=> ! [X2,X1] : ~ sameside(X1,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f406,plain,
! [X2,X1] : ~ sameside(X1,X1,X2),
inference(equality_resolution,[],[f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f474,plain,
spl4_14,
inference(avatar_split_clause,[],[f405,f472]) ).
fof(f472,plain,
( spl4_14
<=> ! [X2,X0] : ~ sameside(X0,X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f405,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f263]) ).
fof(f263,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f470,plain,
spl4_13,
inference(avatar_split_clause,[],[f403,f468]) ).
fof(f403,plain,
! [X1] : s_m(X1,X1,X1),
inference(equality_resolution,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( X0 != X1
| s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( X0 != X1
| s_m(X0,X1,X0) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X11,X28] :
( X11 != X28
| s_m(X11,X28,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3b) ).
fof(f466,plain,
spl4_12,
inference(avatar_split_clause,[],[f240,f464]) ).
fof(f240,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X19,X20] : s_t(X19,X19,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
fof(f462,plain,
spl4_11,
inference(avatar_split_clause,[],[f239,f460]) ).
fof(f239,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X11,X14] : s_t(X11,X14,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
fof(f458,plain,
spl4_10,
inference(avatar_split_clause,[],[f238,f456]) ).
fof(f456,plain,
( spl4_10
<=> ! [X0,X1] : s_col(X0,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f238,plain,
! [X0,X1] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] : s_col(X0,X0,X1),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X11,X14] : s_col(X11,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12) ).
fof(f454,plain,
spl4_9,
inference(avatar_split_clause,[],[f237,f452]) ).
fof(f237,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X11,X14] : s_col(X11,X14,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(f450,plain,
~ spl4_8,
inference(avatar_split_clause,[],[f236,f447]) ).
fof(f447,plain,
( spl4_8
<=> s_t(gamma,alpha,beta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f236,plain,
~ s_t(gamma,alpha,beta),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( ~ s_t(gamma,alpha,beta)
& ~ s_t(beta,gamma,alpha)
& ~ s_t(alpha,beta,gamma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA8) ).
fof(f445,plain,
~ spl4_7,
inference(avatar_split_clause,[],[f235,f442]) ).
fof(f442,plain,
( spl4_7
<=> s_t(beta,gamma,alpha) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f235,plain,
~ s_t(beta,gamma,alpha),
inference(cnf_transformation,[],[f8]) ).
fof(f440,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f234,f437]) ).
fof(f437,plain,
( spl4_6
<=> s_t(alpha,beta,gamma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f234,plain,
~ s_t(alpha,beta,gamma),
inference(cnf_transformation,[],[f8]) ).
fof(f435,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f233,f432]) ).
fof(f432,plain,
( spl4_5
<=> alpha = gamma ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f233,plain,
alpha != gamma,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
alpha != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13c) ).
fof(f430,plain,
~ spl4_4,
inference(avatar_split_clause,[],[f232,f427]) ).
fof(f427,plain,
( spl4_4
<=> alpha = beta ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f232,plain,
alpha != beta,
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
alpha != beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13a) ).
fof(f425,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f231,f422]) ).
fof(f422,plain,
( spl4_3
<=> beta = gamma ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f231,plain,
beta != gamma,
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
beta != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13b) ).
fof(f420,plain,
spl4_2,
inference(avatar_split_clause,[],[f230,f417]) ).
fof(f230,plain,
s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
& ~ s_t(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f226,f227]) ).
fof(f227,plain,
( ? [X0,X1,X2,X3] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
& ~ s_t(X0,X1,X2) )
=> ( s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2))
& ~ s_t(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
? [X0,X1,X2,X3] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
& ~ s_t(X0,X1,X2) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
~ ! [X0,X1,X2,X3] :
( ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| s_t(X0,X1,X2) ),
inference(rectify,[],[f107]) ).
fof(f107,negated_conjecture,
~ ! [X12,X15,X26,X11] :
( ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| s_t(X12,X15,X26) ),
inference(negated_conjecture,[],[f106]) ).
fof(f106,conjecture,
! [X12,X15,X26,X11] :
( ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26))
| s_t(X12,X15,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f415,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f229,f412]) ).
fof(f229,plain,
~ s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 06:08:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (18200)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (18203)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18201)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (18204)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (18202)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (18205)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (18206)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (18203)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (18207)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 Detected minimum model sizes of [3]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.40 TRYING [3]
% 0.21/0.44 Detected minimum model sizes of [3]
% 0.21/0.44 Detected maximum model sizes of [max]
% 0.21/0.51 TRYING [3]
% 1.34/0.60 TRYING [4]
% 7.72/1.48 Detected minimum model sizes of [3]
% 7.72/1.48 Detected maximum model sizes of [max]
% 7.72/1.49 TRYING [3]
% 8.57/1.58 TRYING [4]
% 10.60/1.91 TRYING [5]
% 13.60/2.32 TRYING [5]
% 19.11/3.08 TRYING [4]
% 42.29/6.44 % (18205)First to succeed.
% 43.11/6.50 % (18205)Refutation found. Thanks to Tanya!
% 43.11/6.50 % SZS status Theorem for theBenchmark
% 43.11/6.50 % SZS output start Proof for theBenchmark
% See solution above
% 43.22/6.52 % (18205)------------------------------
% 43.22/6.52 % (18205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 43.22/6.52 % (18205)Termination reason: Refutation
% 43.22/6.52
% 43.22/6.52 % (18205)Memory used [KB]: 31306
% 43.22/6.52 % (18205)Time elapsed: 6.110 s
% 43.22/6.52 % (18205)Instructions burned: 18089 (million)
% 43.22/6.52 % (18205)------------------------------
% 43.22/6.52 % (18205)------------------------------
% 43.22/6.52 % (18200)Success in time 6.133 s
%------------------------------------------------------------------------------