TSTP Solution File: ITP021_2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP021_2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:46:46 EDT 2024
% Result : Theorem 6.89s 1.37s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 948
% Syntax : Number of formulae : 3233 ( 212 unt; 46 typ; 0 def)
% Number of atoms : 15871 (1055 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 13294 (5412 ~;6630 |; 275 &)
% ( 907 <=>; 67 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 4802 (4802 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 76 ( 35 >; 41 *; 0 +; 0 <<)
% Number of predicates : 864 ( 862 usr; 844 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 8 con; 0-3 aty)
% Number of variables : 3199 (3181 !; 18 ?;2790 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__ty_2Eextreal_2Eextreal: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
ty_2Eextreal_2Eextreal: del ).
tff(func_def_11,type,
inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i ).
tff(func_def_12,type,
surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal ).
tff(func_def_14,type,
fo__c_2Eextreal_2Eextreal__le: ( tp__ty_2Eextreal_2Eextreal * tp__ty_2Eextreal_2Eextreal ) > tp__o ).
tff(func_def_15,type,
c_2Ebool_2ECOND: del > $i ).
tff(func_def_17,type,
fo__c_2Eextreal_2Eextreal__max: ( tp__ty_2Eextreal_2Eextreal * tp__ty_2Eextreal_2Eextreal ) > tp__ty_2Eextreal_2Eextreal ).
tff(func_def_19,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_21,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_23,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_25,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_27,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_28,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_29,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_30,type,
sK16: tp__ty_2Eextreal_2Eextreal ).
tff(func_def_31,type,
sK17: tp__ty_2Eextreal_2Eextreal ).
tff(func_def_32,type,
sK18: tp__ty_2Eextreal_2Eextreal ).
tff(func_def_33,type,
sK19: ( del * $i ) > $i ).
tff(func_def_34,type,
sK20: ( del * $i * $i ) > $i ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(pred_def_3,type,
sP0: ( tp__o * tp__o ) > $o ).
tff(pred_def_4,type,
sP1: ( tp__o * tp__o ) > $o ).
tff(pred_def_5,type,
sP2: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_6,type,
sP3: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_7,type,
sP4: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_8,type,
sP5: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_9,type,
sP6: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_10,type,
sP7: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_11,type,
sP8: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_12,type,
sP9: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_13,type,
sP10: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_14,type,
sP11: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_15,type,
sP12: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_16,type,
sP13: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_17,type,
sP14: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_18,type,
sP15: ( tp__o * tp__o * tp__o ) > $o ).
tff(f15515,plain,
$false,
inference(avatar_sat_refutation,[],[f512,f517,f522,f527,f532,f537,f541,f545,f552,f556,f560,f571,f579,f584,f589,f597,f598,f602,f609,f614,f618,f623,f628,f633,f638,f643,f647,f651,f656,f660,f664,f668,f672,f676,f680,f684,f688,f692,f696,f700,f704,f708,f712,f716,f720,f721,f725,f729,f733,f737,f741,f745,f749,f753,f757,f761,f765,f769,f773,f777,f781,f785,f789,f793,f797,f805,f815,f819,f823,f827,f831,f835,f842,f846,f850,f880,f889,f893,f897,f901,f905,f909,f913,f917,f921,f925,f930,f934,f938,f942,f946,f950,f954,f958,f962,f969,f973,f977,f981,f999,f1019,f1042,f1046,f1050,f1057,f1067,f1071,f1075,f1079,f1083,f1099,f1109,f1113,f1117,f1121,f1125,f1129,f1133,f1137,f1144,f1148,f1152,f1156,f1160,f1164,f1168,f1172,f1176,f1180,f1187,f1191,f1195,f1199,f1203,f1207,f1270,f1318,f1322,f1326,f1330,f1334,f1338,f1342,f1346,f1350,f1356,f1374,f1378,f1394,f1398,f1402,f1406,f1410,f1414,f1418,f1427,f1477,f1481,f1488,f1492,f1496,f1500,f1523,f1529,f1534,f1539,f1555,f1559,f1563,f1573,f1578,f1582,f1597,f1612,f1627,f1631,f1636,f1645,f1655,f1676,f1682,f1686,f1691,f1696,f1701,f1706,f1711,f1718,f1719,f1732,f1759,f1898,f1918,f1962,f1966,f1970,f1974,f1978,f1982,f1986,f1990,f1999,f2010,f2014,f2018,f2022,f2026,f2035,f2040,f2081,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2184,f2188,f2192,f2196,f2200,f2286,f2334,f2338,f2342,f2346,f2354,f2358,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2435,f2439,f2443,f2447,f2511,f2562,f2566,f2570,f2574,f2578,f2582,f2608,f2612,f2616,f2620,f2624,f2653,f2657,f2661,f2665,f2671,f2675,f2679,f2683,f2687,f2691,f2695,f2743,f2747,f2764,f2768,f2772,f2776,f2804,f2808,f2812,f2816,f2820,f2846,f2857,f2861,f2865,f2869,f2873,f2877,f2881,f2885,f2889,f2893,f2897,f2941,f2945,f2949,f2972,f2976,f2993,f2997,f3001,f3006,f3011,f3015,f3022,f3047,f3068,f3072,f3076,f3080,f3093,f3105,f3110,f3115,f3124,f3135,f3163,f3168,f3172,f3176,f3181,f3185,f3246,f3250,f3254,f3263,f3280,f3290,f3299,f3310,f3323,f3339,f3343,f3347,f3351,f3358,f3362,f3366,f3370,f3374,f3378,f3387,f3416,f3421,f3446,f3476,f3483,f3503,f3519,f3770,f3775,f3780,f3785,f3790,f3795,f3800,f3805,f3810,f3817,f3824,f3829,f3836,f3843,f3850,f3857,f3864,f3871,f3876,f3881,f3886,f3983,f3988,f3993,f3998,f4017,f4025,f4030,f4034,f4038,f4042,f4046,f4051,f4055,f4059,f4063,f4072,f4101,f4112,f4123,f4135,f4160,f4166,f4198,f4399,f4403,f4407,f4411,f4415,f4427,f4431,f4435,f4439,f4444,f4449,f4454,f4524,f4528,f4532,f4536,f4541,f4546,f4550,f4555,f4560,f4565,f4570,f4575,f4580,f4585,f4590,f4595,f4602,f4609,f4616,f4623,f4660,f4667,f4674,f4681,f4688,f4695,f4702,f4709,f4716,f4723,f4730,f4735,f4741,f4745,f4749,f4753,f4881,f4885,f4889,f4893,f4899,f4905,f4911,f4917,f4921,f4925,f4932,f4936,f4942,f4948,f4954,f4958,f4963,f4968,f4972,f4976,f4980,f5086,f5090,f5095,f5100,f5106,f5112,f5118,f5124,f5131,f5137,f5144,f5149,f5155,f5160,f5165,f5170,f5176,f5182,f5188,f5194,f5201,f5207,f5212,f5219,f5225,f5230,f5343,f5404,f5408,f5412,f5416,f5420,f5425,f5430,f5434,f5438,f5439,f5444,f5492,f5501,f5505,f5509,f5521,f5522,f5528,f5547,f5579,f5618,f5623,f5628,f5629,f5650,f5658,f5659,f5663,f5667,f5671,f5672,f5678,f5682,f5686,f5690,f5735,f5763,f5767,f5783,f5787,f5791,f5859,f5863,f5867,f5871,f5875,f5879,f5883,f5888,f5893,f5898,f5904,f5910,f5916,f5921,f5926,f5932,f5938,f6439,f6687,f6691,f6695,f6699,f6703,f6707,f6711,f6715,f6719,f6723,f6727,f6731,f6735,f6739,f6743,f6747,f6752,f6757,f6763,f6769,f6771,f6776,f6793,f6798,f6804,f6810,f6859,f6941,f6948,f6952,f6958,f6964,f6968,f6972,f6976,f6982,f6986,f6990,f6994,f6998,f7003,f7008,f7012,f7016,f7020,f7189,f7193,f7197,f7201,f7205,f7209,f7213,f7214,f7222,f7226,f7230,f7234,f7238,f7242,f7248,f7254,f7258,f7697,f7701,f7705,f7709,f7713,f7717,f7721,f7725,f7729,f7733,f7738,f7743,f7747,f7751,f7755,f7759,f7925,f7934,f7938,f7942,f7946,f7950,f7954,f7958,f7960,f7964,f7969,f8107,f8108,f8112,f8118,f8124,f8128,f8132,f8136,f8140,f8144,f8148,f8152,f8156,f8160,f8298,f8373,f8377,f8382,f8387,f8391,f8395,f8399,f8571,f8632,f8636,f8640,f8645,f8649,f8653,f8657,f8662,f8667,f8927,f8931,f8936,f8941,f8945,f8949,f8953,f8957,f8961,f8962,f9001,f9005,f9127,f9131,f9140,f9145,f9322,f9326,f9330,f9334,f9379,f9383,f9388,f9418,f9549,f9561,f9566,f9573,f9577,f9581,f9628,f9640,f9772,f9907,f9921,f9925,f9956,f9960,f10186,f10201,f10216,f10222,f10238,f10243,f10248,f10253,f10258,f10263,f10268,f10273,f10278,f10292,f10332,f10337,f10615,f10625,f10630,f10643,f10648,f10655,f10660,f10674,f10679,f10690,f10695,f10709,f10714,f10721,f10726,f10740,f10745,f10752,f10757,f10764,f10768,f10772,f10776,f10781,f10785,f10789,f10793,f10797,f10801,f10914,f10918,f10922,f10926,f10930,f10934,f10939,f10943,f10947,f10951,f10955,f10959,f10963,f11012,f11094,f11159,f11163,f11167,f11171,f11175,f11179,f11183,f11212,f11239,f11245,f11253,f11279,f11304,f11310,f11318,f11328,f11361,f11499,f11500,f11588,f11855,f11928,f11947,f12519,f12846,f12852,f12860,f12864,f12868,f12872,f12876,f12880,f12884,f12888,f12892,f12896,f12900,f12904,f12908,f12912,f12916,f12920,f12924,f12928,f12932,f12936,f12940,f12944,f12948,f12952,f12956,f12960,f12964,f12968,f12973,f12977,f12981,f12985,f12989,f12993,f12997,f13001,f13005,f13009,f13013,f13017,f13021,f13025,f13029,f13033,f13037,f13041,f13045,f13049,f13053,f13057,f13062,f13545,f13775,f14243,f14247,f14248,f14455,f14458,f14543,f14545,f14717,f14719,f14721,f14723,f14725,f14727,f14786,f14791,f14796,f14799,f14817,f14899,f14903,f14907,f14959,f14976,f15010,f15417,f15514]) ).
tff(f15514,plain,
( spl21_706
| spl21_14
| ~ spl21_497
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f15018,f5688,f5204,f576,f10240]) ).
tff(f10240,plain,
( spl21_706
<=> sP0(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_706])]) ).
tff(f576,plain,
( spl21_14
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
tff(f5204,plain,
( spl21_497
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_497])]) ).
tff(f5688,plain,
( spl21_524
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_524])]) ).
tff(f15018,plain,
( sP0(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)
| spl21_14
| ~ spl21_497
| ~ spl21_524 ),
inference(forward_demodulation,[],[f14661,f5206]) ).
tff(f5206,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_497 ),
inference(avatar_component_clause,[],[f5204]) ).
tff(f14661,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET)
| spl21_14
| ~ spl21_524 ),
inference(resolution,[],[f577,f5689]) ).
tff(f5689,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) )
| ~ spl21_524 ),
inference(avatar_component_clause,[],[f5688]) ).
tff(f577,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| spl21_14 ),
inference(avatar_component_clause,[],[f576]) ).
tff(f15417,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_70
| ~ spl21_497
| ~ spl21_567 ),
inference(avatar_split_clause,[],[f14879,f6773,f5204,f833,f529,f514]) ).
tff(f514,plain,
( spl21_2
<=> p(c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
tff(f529,plain,
( spl21_5
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
tff(f833,plain,
( spl21_70
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).
tff(f6773,plain,
( spl21_567
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_567])]) ).
tff(f14879,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_497
| ~ spl21_567 ),
inference(forward_demodulation,[],[f14878,f531]) ).
tff(f531,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) )
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f529]) ).
tff(f14878,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_497
| ~ spl21_567 ),
inference(duplicate_literal_removal,[],[f14877]) ).
tff(f14877,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_497
| ~ spl21_567 ),
inference(forward_demodulation,[],[f6978,f5206]) ).
tff(f6978,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_567 ),
inference(resolution,[],[f6775,f834]) ).
tff(f834,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP1(X0,X1)
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) )
| ~ spl21_70 ),
inference(avatar_component_clause,[],[f833]) ).
tff(f6775,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK18))
| ~ spl21_567 ),
inference(avatar_component_clause,[],[f6773]) ).
tff(f15010,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_20
| ~ spl21_497
| ~ spl21_573 ),
inference(avatar_split_clause,[],[f14881,f6938,f5204,f616,f529,f514]) ).
tff(f616,plain,
( spl21_20
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
tff(f6938,plain,
( spl21_573
<=> sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_573])]) ).
tff(f14881,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_20
| ~ spl21_497
| ~ spl21_573 ),
inference(forward_demodulation,[],[f14880,f531]) ).
tff(f14880,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_20
| ~ spl21_497
| ~ spl21_573 ),
inference(forward_demodulation,[],[f7183,f5206]) ).
tff(f7183,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| ~ spl21_20
| ~ spl21_573 ),
inference(resolution,[],[f6940,f617]) ).
tff(f617,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP0(X0,X1)
| ~ p(inj__o(X0)) )
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f616]) ).
tff(f6940,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET)
| ~ spl21_573 ),
inference(avatar_component_clause,[],[f6938]) ).
tff(f14976,plain,
( spl21_315
| ~ spl21_154
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1616,f1610,f1425,f3078]) ).
tff(f3078,plain,
( spl21_315
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_315])]) ).
tff(f1425,plain,
( spl21_154
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_154])]) ).
tff(f1610,plain,
( spl21_172
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_172])]) ).
tff(f1616,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_154
| ~ spl21_172 ),
inference(resolution,[],[f1611,f1426]) ).
tff(f1426,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_154 ),
inference(avatar_component_clause,[],[f1425]) ).
tff(f1611,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_172 ),
inference(avatar_component_clause,[],[f1610]) ).
tff(f14959,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_516 ),
inference(avatar_split_clause,[],[f14738,f5620,f3174,f833,f581,f529,f514]) ).
tff(f581,plain,
( spl21_15
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
tff(f3174,plain,
( spl21_325
<=> ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ( c_2Ebool_2ET = inj__o(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_325])]) ).
tff(f5620,plain,
( spl21_516
<=> sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_516])]) ).
tff(f14738,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_516 ),
inference(duplicate_literal_removal,[],[f14737]) ).
tff(f14737,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_516 ),
inference(forward_demodulation,[],[f14292,f3217]) ).
tff(f3217,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_15
| ~ spl21_325 ),
inference(resolution,[],[f3175,f582]) ).
tff(f582,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f581]) ).
tff(f3175,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ( c_2Ebool_2ET = inj__o(X0) ) )
| ~ spl21_325 ),
inference(avatar_component_clause,[],[f3174]) ).
tff(f14292,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_5
| ~ spl21_70
| ~ spl21_516 ),
inference(forward_demodulation,[],[f5646,f531]) ).
tff(f5646,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_70
| ~ spl21_516 ),
inference(resolution,[],[f5622,f834]) ).
tff(f5622,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET)
| ~ spl21_516 ),
inference(avatar_component_clause,[],[f5620]) ).
tff(f14907,plain,
( spl21_835
| spl21_14
| ~ spl21_239 ),
inference(avatar_split_clause,[],[f14689,f2393,f576,f14905]) ).
tff(f14905,plain,
( spl21_835
<=> ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK17),X0)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_835])]) ).
tff(f2393,plain,
( spl21_239
<=> ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_239])]) ).
tff(f14689,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK17),X0)
| p(inj__o(X0)) )
| spl21_14
| ~ spl21_239 ),
inference(resolution,[],[f577,f2394]) ).
tff(f2394,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X2)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2)) )
| ~ spl21_239 ),
inference(avatar_component_clause,[],[f2393]) ).
tff(f14903,plain,
( spl21_834
| spl21_14
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f14688,f2385,f576,f14901]) ).
tff(f14901,plain,
( spl21_834
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK17))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_834])]) ).
tff(f2385,plain,
( spl21_237
<=> ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP1(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_237])]) ).
tff(f14688,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK17))
| p(inj__o(X0)) )
| spl21_14
| ~ spl21_237 ),
inference(resolution,[],[f577,f2386]) ).
tff(f2386,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2)) )
| ~ spl21_237 ),
inference(avatar_component_clause,[],[f2385]) ).
tff(f14899,plain,
( spl21_833
| spl21_14
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f14687,f2381,f576,f14897]) ).
tff(f14897,plain,
( spl21_833
<=> ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK17))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_833])]) ).
tff(f2381,plain,
( spl21_236
<=> ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP0(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_236])]) ).
tff(f14687,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK17))
| p(inj__o(X0)) )
| spl21_14
| ~ spl21_236 ),
inference(resolution,[],[f577,f2382]) ).
tff(f2382,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2)) )
| ~ spl21_236 ),
inference(avatar_component_clause,[],[f2381]) ).
tff(f14817,plain,
( spl21_1
| ~ spl21_6
| ~ spl21_229
| ~ spl21_828 ),
inference(avatar_split_clause,[],[f14657,f13772,f2283,f534,f509]) ).
tff(f509,plain,
( spl21_1
<=> p(c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
tff(f534,plain,
( spl21_6
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
tff(f2283,plain,
( spl21_229
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_229])]) ).
tff(f13772,plain,
( spl21_828
<=> ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_828])]) ).
tff(f14657,plain,
( p(c_2Ebool_2EF)
| ~ spl21_6
| ~ spl21_229
| ~ spl21_828 ),
inference(forward_demodulation,[],[f14656,f536]) ).
tff(f536,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) )
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f534]) ).
tff(f14656,plain,
( p(inj__o(fo__c_2Ebool_2EF))
| ~ spl21_229
| ~ spl21_828 ),
inference(forward_demodulation,[],[f2285,f13774]) ).
tff(f13774,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_828 ),
inference(avatar_component_clause,[],[f13772]) ).
tff(f2285,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| ~ spl21_229 ),
inference(avatar_component_clause,[],[f2283]) ).
tff(f14799,plain,
( spl21_14
| ~ spl21_134
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1924,f1916,f1268,f576]) ).
tff(f1268,plain,
( spl21_134
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] : p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_134])]) ).
tff(f1916,plain,
( spl21_188
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK17)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_188])]) ).
tff(f1924,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ spl21_134
| ~ spl21_188 ),
inference(resolution,[],[f1269,f1917]) ).
tff(f1917,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK17)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188 ),
inference(avatar_component_clause,[],[f1916]) ).
tff(f1269,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] : p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0)))
| ~ spl21_134 ),
inference(avatar_component_clause,[],[f1268]) ).
tff(f14796,plain,
( spl21_832
| spl21_14
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1614,f1610,f576,f14793]) ).
tff(f14793,plain,
( spl21_832
<=> sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_832])]) ).
tff(f1614,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),fo__c_2Ebool_2ET)
| spl21_14
| ~ spl21_172 ),
inference(resolution,[],[f1611,f577]) ).
tff(f14791,plain,
( spl21_831
| spl21_14
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1599,f1595,f576,f14788]) ).
tff(f14788,plain,
( spl21_831
<=> sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_831])]) ).
tff(f1595,plain,
( spl21_171
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_171])]) ).
tff(f1599,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),fo__c_2Ebool_2ET)
| spl21_14
| ~ spl21_171 ),
inference(resolution,[],[f1596,f577]) ).
tff(f1596,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_171 ),
inference(avatar_component_clause,[],[f1595]) ).
tff(f14786,plain,
( spl21_178
| spl21_14
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1584,f1580,f576,f1673]) ).
tff(f1673,plain,
( spl21_178
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_178])]) ).
tff(f1580,plain,
( spl21_170
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Ebool_2ET,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_170])]) ).
tff(f1584,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK16))
| spl21_14
| ~ spl21_170 ),
inference(resolution,[],[f1581,f577]) ).
tff(f1581,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Ebool_2ET,X0) )
| ~ spl21_170 ),
inference(avatar_component_clause,[],[f1580]) ).
tff(f14727,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_515 ),
inference(avatar_split_clause,[],[f14573,f5615,f3174,f833,f581,f529,f514]) ).
tff(f5615,plain,
( spl21_515
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_515])]) ).
tff(f14573,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_515 ),
inference(duplicate_literal_removal,[],[f14572]) ).
tff(f14572,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_515 ),
inference(forward_demodulation,[],[f14571,f531]) ).
tff(f14571,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_15
| ~ spl21_70
| ~ spl21_325
| ~ spl21_515 ),
inference(forward_demodulation,[],[f5644,f3217]) ).
tff(f5644,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_515 ),
inference(resolution,[],[f5617,f834]) ).
tff(f5617,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| ~ spl21_515 ),
inference(avatar_component_clause,[],[f5615]) ).
tff(f14725,plain,
( spl21_154
| ~ spl21_15
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1387,f1376,f581,f1425]) ).
tff(f1376,plain,
( spl21_146
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_146])]) ).
tff(f1387,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_15
| ~ spl21_146 ),
inference(resolution,[],[f1377,f582]) ).
tff(f1377,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2))) )
| ~ spl21_146 ),
inference(avatar_component_clause,[],[f1376]) ).
tff(f14723,plain,
( spl21_109
| ~ spl21_15
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f882,f848,f581,f1097]) ).
tff(f1097,plain,
( spl21_109
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).
tff(f848,plain,
( spl21_73
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_73])]) ).
tff(f882,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_15
| ~ spl21_73 ),
inference(resolution,[],[f849,f582]) ).
tff(f849,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_73 ),
inference(avatar_component_clause,[],[f848]) ).
tff(f14721,plain,
( spl21_103
| ~ spl21_15
| ~ spl21_72 ),
inference(avatar_split_clause,[],[f873,f844,f581,f1055]) ).
tff(f1055,plain,
( spl21_103
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).
tff(f844,plain,
( spl21_72
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
| p(inj__o(X0))
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_72])]) ).
tff(f873,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_15
| ~ spl21_72 ),
inference(resolution,[],[f845,f582]) ).
tff(f845,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X0))
| sP1(X0,X1) )
| ~ spl21_72 ),
inference(avatar_component_clause,[],[f844]) ).
tff(f14719,plain,
( spl21_99
| ~ spl21_15
| ~ spl21_71 ),
inference(avatar_split_clause,[],[f868,f840,f581,f1017]) ).
tff(f1017,plain,
( spl21_99
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).
tff(f840,plain,
( spl21_71
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_71])]) ).
tff(f868,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_15
| ~ spl21_71 ),
inference(resolution,[],[f841,f582]) ).
tff(f841,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_71 ),
inference(avatar_component_clause,[],[f840]) ).
tff(f14717,plain,
( spl21_15
| ~ spl21_12
| ~ spl21_104
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f14451,f1081,f1065,f564,f581]) ).
tff(f564,plain,
( spl21_12
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
tff(f1065,plain,
( spl21_104
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
tff(f1081,plain,
( spl21_108
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_108])]) ).
tff(f14451,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_12
| ~ spl21_104
| ~ spl21_108 ),
inference(forward_demodulation,[],[f14450,f1082]) ).
tff(f1082,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ spl21_108 ),
inference(avatar_component_clause,[],[f1081]) ).
tff(f14450,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK17,sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ spl21_12
| ~ spl21_104 ),
inference(forward_demodulation,[],[f566,f1066]) ).
tff(f1066,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ spl21_104 ),
inference(avatar_component_clause,[],[f1065]) ).
tff(f566,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f564]) ).
tff(f14545,plain,
( ~ spl21_2
| spl21_14
| ~ spl21_15
| ~ spl21_325
| ~ spl21_827 ),
inference(avatar_split_clause,[],[f14544,f13542,f3174,f581,f576,f514]) ).
tff(f13542,plain,
( spl21_827
<=> ( sK17 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_827])]) ).
tff(f14544,plain,
( ~ p(c_2Ebool_2ET)
| spl21_14
| ~ spl21_15
| ~ spl21_325
| ~ spl21_827 ),
inference(forward_demodulation,[],[f577,f14421]) ).
tff(f14421,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ spl21_15
| ~ spl21_325
| ~ spl21_827 ),
inference(forward_demodulation,[],[f3217,f13544]) ).
tff(f13544,plain,
( ( sK17 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) )
| ~ spl21_827 ),
inference(avatar_component_clause,[],[f13542]) ).
tff(f14543,plain,
( ~ spl21_14
| spl21_13
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f14441,f1081,f568,f576]) ).
tff(f568,plain,
( spl21_13
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
tff(f14441,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| spl21_13
| ~ spl21_108 ),
inference(forward_demodulation,[],[f569,f1082]) ).
tff(f569,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| spl21_13 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f14458,plain,
( ~ spl21_2
| ~ spl21_5
| spl21_13
| ~ spl21_108
| ~ spl21_419 ),
inference(avatar_split_clause,[],[f14443,f4521,f1081,f568,f529,f514]) ).
tff(f4521,plain,
( spl21_419
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_419])]) ).
tff(f14443,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| spl21_13
| ~ spl21_108
| ~ spl21_419 ),
inference(forward_demodulation,[],[f14442,f531]) ).
tff(f14442,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| spl21_13
| ~ spl21_108
| ~ spl21_419 ),
inference(forward_demodulation,[],[f14441,f4523]) ).
tff(f4523,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK16) )
| ~ spl21_419 ),
inference(avatar_component_clause,[],[f4521]) ).
tff(f14455,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_20
| ~ spl21_419
| ~ spl21_517
| ~ spl21_827 ),
inference(avatar_split_clause,[],[f14291,f13542,f5625,f4521,f616,f529,f514]) ).
tff(f5625,plain,
( spl21_517
<=> sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_517])]) ).
tff(f14291,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_20
| ~ spl21_419
| ~ spl21_517
| ~ spl21_827 ),
inference(forward_demodulation,[],[f14290,f531]) ).
tff(f14290,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_20
| ~ spl21_419
| ~ spl21_517
| ~ spl21_827 ),
inference(forward_demodulation,[],[f14289,f4523]) ).
tff(f14289,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ spl21_20
| ~ spl21_517
| ~ spl21_827 ),
inference(forward_demodulation,[],[f5648,f13544]) ).
tff(f5648,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_20
| ~ spl21_517 ),
inference(resolution,[],[f5627,f617]) ).
tff(f5627,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET)
| ~ spl21_517 ),
inference(avatar_component_clause,[],[f5625]) ).
tff(f14248,plain,
( ~ spl21_2
| ~ spl21_5
| spl21_15
| ~ spl21_419
| ~ spl21_827 ),
inference(avatar_split_clause,[],[f13991,f13542,f4521,f581,f529,f514]) ).
tff(f13991,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| spl21_15
| ~ spl21_419
| ~ spl21_827 ),
inference(forward_demodulation,[],[f13990,f531]) ).
tff(f13990,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| spl21_15
| ~ spl21_419
| ~ spl21_827 ),
inference(forward_demodulation,[],[f13957,f4523]) ).
tff(f13957,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| spl21_15
| ~ spl21_827 ),
inference(superposition,[],[f583,f13544]) ).
tff(f583,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| spl21_15 ),
inference(avatar_component_clause,[],[f581]) ).
tff(f14247,plain,
( spl21_830
| ~ spl21_325
| ~ spl21_528 ),
inference(avatar_split_clause,[],[f5836,f5785,f3174,f14245]) ).
tff(f14245,plain,
( spl21_830
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_830])]) ).
tff(f5785,plain,
( spl21_528
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_528])]) ).
tff(f5836,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_528 ),
inference(resolution,[],[f5786,f3175]) ).
tff(f5786,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1)) )
| ~ spl21_528 ),
inference(avatar_component_clause,[],[f5785]) ).
tff(f14243,plain,
( spl21_829
| ~ spl21_325
| ~ spl21_527 ),
inference(avatar_split_clause,[],[f5798,f5781,f3174,f14241]) ).
tff(f14241,plain,
( spl21_829
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,X0),X1)
| p(inj__o(X1))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_829])]) ).
tff(f5781,plain,
( spl21_527
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK18,X0),X1)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_527])]) ).
tff(f5798,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,X0),X1)
| p(inj__o(X1))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_527 ),
inference(resolution,[],[f5782,f3175]) ).
tff(f5782,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,X0),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1)) )
| ~ spl21_527 ),
inference(avatar_component_clause,[],[f5781]) ).
tff(f13775,plain,
( spl21_828
| ~ spl21_10
| ~ spl21_28
| ~ spl21_804 ),
inference(avatar_split_clause,[],[f13344,f12970,f653,f554,f13772]) ).
tff(f554,plain,
( spl21_10
<=> ! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
tff(f653,plain,
( spl21_28
<=> ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
tff(f12970,plain,
( spl21_804
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_804])]) ).
tff(f13344,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_804 ),
inference(forward_demodulation,[],[f13277,f655]) ).
tff(f655,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl21_28 ),
inference(avatar_component_clause,[],[f653]) ).
tff(f13277,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_10
| ~ spl21_804 ),
inference(superposition,[],[f555,f12972]) ).
tff(f12972,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| ~ spl21_804 ),
inference(avatar_component_clause,[],[f12970]) ).
tff(f555,plain,
( ! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 )
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f554]) ).
tff(f13545,plain,
( spl21_827
| ~ spl21_11
| ~ spl21_156
| ~ spl21_454
| ~ spl21_804 ),
inference(avatar_split_clause,[],[f13343,f12970,f4751,f1479,f558,f13542]) ).
tff(f558,plain,
( spl21_11
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
tff(f1479,plain,
( spl21_156
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( fo__c_2Eextreal_2Eextreal__max(X0,X1) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_156])]) ).
tff(f4751,plain,
( spl21_454
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_454])]) ).
tff(f13343,plain,
( ( sK17 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) )
| ~ spl21_11
| ~ spl21_156
| ~ spl21_454
| ~ spl21_804 ),
inference(forward_demodulation,[],[f13342,f559]) ).
tff(f559,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 )
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f558]) ).
tff(f13342,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK18) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK17)) )
| ~ spl21_156
| ~ spl21_454
| ~ spl21_804 ),
inference(forward_demodulation,[],[f13250,f4752]) ).
tff(f4752,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) )
| ~ spl21_454 ),
inference(avatar_component_clause,[],[f4751]) ).
tff(f13250,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK18) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK17))) )
| ~ spl21_156
| ~ spl21_804 ),
inference(superposition,[],[f1480,f12972]) ).
tff(f1480,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( fo__c_2Eextreal_2Eextreal__max(X0,X1) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
| ~ spl21_156 ),
inference(avatar_component_clause,[],[f1479]) ).
tff(f13062,plain,
( spl21_826
| spl21_282
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f11905,f3170,f2801,f13059]) ).
tff(f13059,plain,
( spl21_826
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_826])]) ).
tff(f2801,plain,
( spl21_282
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_282])]) ).
tff(f3170,plain,
( spl21_324
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| ( c_2Ebool_2EF = inj__o(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_324])]) ).
tff(f11905,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) )
| spl21_282
| ~ spl21_324 ),
inference(resolution,[],[f2802,f3171]) ).
tff(f3171,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| ( c_2Ebool_2EF = inj__o(X0) ) )
| ~ spl21_324 ),
inference(avatar_component_clause,[],[f3170]) ).
tff(f2802,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)))
| spl21_282 ),
inference(avatar_component_clause,[],[f2801]) ).
tff(f13057,plain,
( spl21_825
| ~ spl21_325
| ~ spl21_526 ),
inference(avatar_split_clause,[],[f5776,f5765,f3174,f13055]) ).
tff(f13055,plain,
( spl21_825
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_825])]) ).
tff(f5765,plain,
( spl21_526
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_526])]) ).
tff(f5776,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) ) )
| ~ spl21_325
| ~ spl21_526 ),
inference(resolution,[],[f5766,f3175]) ).
tff(f5766,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_526 ),
inference(avatar_component_clause,[],[f5765]) ).
tff(f13053,plain,
( spl21_824
| ~ spl21_325
| ~ spl21_525 ),
inference(avatar_split_clause,[],[f5770,f5761,f3174,f13051]) ).
tff(f13051,plain,
( spl21_824
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_824])]) ).
tff(f5761,plain,
( spl21_525
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_525])]) ).
tff(f5770,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) ) )
| ~ spl21_325
| ~ spl21_525 ),
inference(resolution,[],[f5762,f3175]) ).
tff(f5762,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) )
| ~ spl21_525 ),
inference(avatar_component_clause,[],[f5761]) ).
tff(f13049,plain,
( spl21_823
| ~ spl21_71
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f5756,f5688,f840,f13047]) ).
tff(f13047,plain,
( spl21_823
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_823])]) ).
tff(f5756,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_524 ),
inference(resolution,[],[f5689,f841]) ).
tff(f13045,plain,
( spl21_822
| ~ spl21_72
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f5755,f5688,f844,f13043]) ).
tff(f13043,plain,
( spl21_822
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_822])]) ).
tff(f5755,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_524 ),
inference(resolution,[],[f5689,f845]) ).
tff(f13041,plain,
( spl21_821
| ~ spl21_73
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f5754,f5688,f848,f13039]) ).
tff(f13039,plain,
( spl21_821
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_821])]) ).
tff(f5754,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_524 ),
inference(resolution,[],[f5689,f849]) ).
tff(f13037,plain,
( spl21_820
| ~ spl21_71
| ~ spl21_523 ),
inference(avatar_split_clause,[],[f5732,f5684,f840,f13035]) ).
tff(f13035,plain,
( spl21_820
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_820])]) ).
tff(f5684,plain,
( spl21_523
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_523])]) ).
tff(f5732,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_523 ),
inference(resolution,[],[f5685,f841]) ).
tff(f5685,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) )
| ~ spl21_523 ),
inference(avatar_component_clause,[],[f5684]) ).
tff(f13033,plain,
( spl21_819
| ~ spl21_72
| ~ spl21_523 ),
inference(avatar_split_clause,[],[f5731,f5684,f844,f13031]) ).
tff(f13031,plain,
( spl21_819
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_819])]) ).
tff(f5731,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_523 ),
inference(resolution,[],[f5685,f845]) ).
tff(f13029,plain,
( spl21_818
| ~ spl21_73
| ~ spl21_523 ),
inference(avatar_split_clause,[],[f5730,f5684,f848,f13027]) ).
tff(f13027,plain,
( spl21_818
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_818])]) ).
tff(f5730,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_523 ),
inference(resolution,[],[f5685,f849]) ).
tff(f13025,plain,
( spl21_817
| ~ spl21_71
| ~ spl21_522 ),
inference(avatar_split_clause,[],[f5723,f5680,f840,f13023]) ).
tff(f13023,plain,
( spl21_817
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_817])]) ).
tff(f5680,plain,
( spl21_522
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_522])]) ).
tff(f5723,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_522 ),
inference(resolution,[],[f5681,f841]) ).
tff(f5681,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) )
| ~ spl21_522 ),
inference(avatar_component_clause,[],[f5680]) ).
tff(f13021,plain,
( spl21_816
| ~ spl21_72
| ~ spl21_522 ),
inference(avatar_split_clause,[],[f5722,f5680,f844,f13019]) ).
tff(f13019,plain,
( spl21_816
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_816])]) ).
tff(f5722,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_522 ),
inference(resolution,[],[f5681,f845]) ).
tff(f13017,plain,
( spl21_815
| ~ spl21_20
| ~ spl21_731 ),
inference(avatar_split_clause,[],[f10730,f10724,f616,f13015]) ).
tff(f13015,plain,
( spl21_815
<=> ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_815])]) ).
tff(f10724,plain,
( spl21_731
<=> ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_731])]) ).
tff(f10730,plain,
( ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| ~ p(inj__o(X0)) )
| ~ spl21_20
| ~ spl21_731 ),
inference(resolution,[],[f10725,f617]) ).
tff(f10725,plain,
( ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_731 ),
inference(avatar_component_clause,[],[f10724]) ).
tff(f13013,plain,
( spl21_814
| ~ spl21_73
| ~ spl21_522 ),
inference(avatar_split_clause,[],[f5721,f5680,f848,f13011]) ).
tff(f13011,plain,
( spl21_814
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_814])]) ).
tff(f5721,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_522 ),
inference(resolution,[],[f5681,f849]) ).
tff(f13009,plain,
( spl21_813
| ~ spl21_71
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5706,f5661,f840,f13007]) ).
tff(f13007,plain,
( spl21_813
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_813])]) ).
tff(f5661,plain,
( spl21_518
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_518])]) ).
tff(f5706,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_518 ),
inference(resolution,[],[f5662,f841]) ).
tff(f5662,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_518 ),
inference(avatar_component_clause,[],[f5661]) ).
tff(f13005,plain,
( spl21_812
| ~ spl21_72
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5705,f5661,f844,f13003]) ).
tff(f13003,plain,
( spl21_812
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_812])]) ).
tff(f5705,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_518 ),
inference(resolution,[],[f5662,f845]) ).
tff(f13001,plain,
( spl21_811
| ~ spl21_73
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5704,f5661,f848,f12999]) ).
tff(f12999,plain,
( spl21_811
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_811])]) ).
tff(f5704,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_518 ),
inference(resolution,[],[f5662,f849]) ).
tff(f12997,plain,
( spl21_810
| ~ spl21_347
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5607,f5519,f3372,f12995]) ).
tff(f12995,plain,
( spl21_810
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| sP0(X1,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_810])]) ).
tff(f3372,plain,
( spl21_347
<=> ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_347])]) ).
tff(f5519,plain,
( spl21_513
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK18)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_513])]) ).
tff(f5607,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| sP0(X1,fo__c_2Ebool_2ET) )
| ~ spl21_347
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3373]) ).
tff(f3373,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
| p(inj__o(X1))
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_347 ),
inference(avatar_component_clause,[],[f3372]) ).
tff(f5520,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK18)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_513 ),
inference(avatar_component_clause,[],[f5519]) ).
tff(f12993,plain,
( spl21_809
| ~ spl21_346
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5606,f5519,f3368,f12991]) ).
tff(f12991,plain,
( spl21_809
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1)
| sP0(X1,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_809])]) ).
tff(f3368,plain,
( spl21_346
<=> ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_346])]) ).
tff(f5606,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1)
| sP0(X1,fo__c_2Ebool_2ET) )
| ~ spl21_346
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3369]) ).
tff(f3369,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X1,X0)
| p(inj__o(X1))
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_346 ),
inference(avatar_component_clause,[],[f3368]) ).
tff(f12989,plain,
( spl21_808
| ~ spl21_345
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5605,f5519,f3364,f12987]) ).
tff(f12987,plain,
( spl21_808
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_808])]) ).
tff(f3364,plain,
( spl21_345
<=> ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_345])]) ).
tff(f5605,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) )
| ~ spl21_345
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3365]) ).
tff(f3365,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_345 ),
inference(avatar_component_clause,[],[f3364]) ).
tff(f12985,plain,
( spl21_807
| ~ spl21_344
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5604,f5519,f3360,f12983]) ).
tff(f12983,plain,
( spl21_807
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_807])]) ).
tff(f3360,plain,
( spl21_344
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_344])]) ).
tff(f5604,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) )
| ~ spl21_344
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3361]) ).
tff(f3361,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_344 ),
inference(avatar_component_clause,[],[f3360]) ).
tff(f12981,plain,
( spl21_806
| ~ spl21_343
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5603,f5519,f3356,f12979]) ).
tff(f12979,plain,
( spl21_806
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_806])]) ).
tff(f3356,plain,
( spl21_343
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_343])]) ).
tff(f5603,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) )
| ~ spl21_343
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3357]) ).
tff(f3357,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,X0) )
| ~ spl21_343 ),
inference(avatar_component_clause,[],[f3356]) ).
tff(f12977,plain,
( spl21_805
| ~ spl21_342
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5602,f5519,f3349,f12975]) ).
tff(f12975,plain,
( spl21_805
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_805])]) ).
tff(f3349,plain,
( spl21_342
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_342])]) ).
tff(f5602,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) )
| ~ spl21_342
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3350]) ).
tff(f3350,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_342 ),
inference(avatar_component_clause,[],[f3349]) ).
tff(f12973,plain,
( spl21_804
| spl21_229
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f5816,f3170,f2283,f12970]) ).
tff(f5816,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| spl21_229
| ~ spl21_324 ),
inference(resolution,[],[f2284,f3171]) ).
tff(f2284,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| spl21_229 ),
inference(avatar_component_clause,[],[f2283]) ).
tff(f12968,plain,
( spl21_803
| ~ spl21_341
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5601,f5519,f3345,f12966]) ).
tff(f12966,plain,
( spl21_803
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_803])]) ).
tff(f3345,plain,
( spl21_341
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_341])]) ).
tff(f5601,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) )
| ~ spl21_341
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3346]) ).
tff(f3346,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_341 ),
inference(avatar_component_clause,[],[f3345]) ).
tff(f12964,plain,
( spl21_802
| ~ spl21_340
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5600,f5519,f3341,f12962]) ).
tff(f12962,plain,
( spl21_802
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_802])]) ).
tff(f3341,plain,
( spl21_340
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_340])]) ).
tff(f5600,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) )
| ~ spl21_340
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3342]) ).
tff(f3342,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X1,X0) )
| ~ spl21_340 ),
inference(avatar_component_clause,[],[f3341]) ).
tff(f12960,plain,
( spl21_801
| ~ spl21_339
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5599,f5519,f3337,f12958]) ).
tff(f12958,plain,
( spl21_801
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_801])]) ).
tff(f3337,plain,
( spl21_339
<=> ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_339])]) ).
tff(f5599,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,X1)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),X1) )
| ~ spl21_339
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3338]) ).
tff(f3338,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_339 ),
inference(avatar_component_clause,[],[f3337]) ).
tff(f12956,plain,
( spl21_800
| ~ spl21_188
| ~ spl21_347 ),
inference(avatar_split_clause,[],[f3754,f3372,f1916,f12954]) ).
tff(f12954,plain,
( spl21_800
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| sP0(X1,fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_800])]) ).
tff(f3754,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| sP0(X1,fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_347 ),
inference(resolution,[],[f3373,f1917]) ).
tff(f12952,plain,
( spl21_799
| ~ spl21_188
| ~ spl21_346 ),
inference(avatar_split_clause,[],[f3729,f3368,f1916,f12950]) ).
tff(f12950,plain,
( spl21_799
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| sP0(X1,fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_799])]) ).
tff(f3729,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| sP0(X1,fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_346 ),
inference(resolution,[],[f3369,f1917]) ).
tff(f12948,plain,
( spl21_798
| ~ spl21_188
| ~ spl21_345 ),
inference(avatar_split_clause,[],[f3702,f3364,f1916,f12946]) ).
tff(f12946,plain,
( spl21_798
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_798])]) ).
tff(f3702,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_345 ),
inference(resolution,[],[f3365,f1917]) ).
tff(f12944,plain,
( spl21_797
| ~ spl21_188
| ~ spl21_344 ),
inference(avatar_split_clause,[],[f3672,f3360,f1916,f12942]) ).
tff(f12942,plain,
( spl21_797
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_797])]) ).
tff(f3672,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_344 ),
inference(resolution,[],[f3361,f1917]) ).
tff(f12940,plain,
( spl21_796
| ~ spl21_188
| ~ spl21_343 ),
inference(avatar_split_clause,[],[f3644,f3356,f1916,f12938]) ).
tff(f12938,plain,
( spl21_796
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_796])]) ).
tff(f3644,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_343 ),
inference(resolution,[],[f3357,f1917]) ).
tff(f12936,plain,
( spl21_795
| ~ spl21_188
| ~ spl21_342 ),
inference(avatar_split_clause,[],[f3619,f3349,f1916,f12934]) ).
tff(f12934,plain,
( spl21_795
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_795])]) ).
tff(f3619,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(X1,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_342 ),
inference(resolution,[],[f3350,f1917]) ).
tff(f12932,plain,
( spl21_794
| ~ spl21_188
| ~ spl21_341 ),
inference(avatar_split_clause,[],[f3591,f3345,f1916,f12930]) ).
tff(f12930,plain,
( spl21_794
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_794])]) ).
tff(f3591,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_341 ),
inference(resolution,[],[f3346,f1917]) ).
tff(f12928,plain,
( spl21_793
| ~ spl21_188
| ~ spl21_340 ),
inference(avatar_split_clause,[],[f3560,f3341,f1916,f12926]) ).
tff(f12926,plain,
( spl21_793
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_793])]) ).
tff(f3560,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_340 ),
inference(resolution,[],[f3342,f1917]) ).
tff(f12924,plain,
( spl21_792
| ~ spl21_188
| ~ spl21_339 ),
inference(avatar_split_clause,[],[f3534,f3337,f1916,f12922]) ).
tff(f12922,plain,
( spl21_792
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_792])]) ).
tff(f3534,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X1)
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),X1)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_339 ),
inference(resolution,[],[f3338,f1917]) ).
tff(f12920,plain,
( spl21_791
| ~ spl21_162
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3210,f3174,f1527,f12918]) ).
tff(f12918,plain,
( spl21_791
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_791])]) ).
tff(f1527,plain,
( spl21_162
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_162])]) ).
tff(f3210,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_162
| ~ spl21_325 ),
inference(resolution,[],[f3175,f1528]) ).
tff(f1528,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_162 ),
inference(avatar_component_clause,[],[f1527]) ).
tff(f12916,plain,
( spl21_790
| ~ spl21_71
| ~ spl21_223 ),
inference(avatar_split_clause,[],[f3043,f2178,f840,f12914]) ).
tff(f12914,plain,
( spl21_790
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_790])]) ).
tff(f2178,plain,
( spl21_223
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_223])]) ).
tff(f3043,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_223 ),
inference(resolution,[],[f2179,f841]) ).
tff(f2179,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) )
| ~ spl21_223 ),
inference(avatar_component_clause,[],[f2178]) ).
tff(f12912,plain,
( spl21_789
| ~ spl21_72
| ~ spl21_223 ),
inference(avatar_split_clause,[],[f3042,f2178,f844,f12910]) ).
tff(f12910,plain,
( spl21_789
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_789])]) ).
tff(f3042,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_223 ),
inference(resolution,[],[f2179,f845]) ).
tff(f12908,plain,
( spl21_788
| ~ spl21_73
| ~ spl21_223 ),
inference(avatar_split_clause,[],[f3041,f2178,f848,f12906]) ).
tff(f12906,plain,
( spl21_788
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_788])]) ).
tff(f3041,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_223 ),
inference(resolution,[],[f2179,f849]) ).
tff(f12904,plain,
( spl21_787
| ~ spl21_71
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f3036,f2134,f840,f12902]) ).
tff(f12902,plain,
( spl21_787
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_787])]) ).
tff(f2134,plain,
( spl21_212
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_212])]) ).
tff(f3036,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_212 ),
inference(resolution,[],[f2135,f841]) ).
tff(f2135,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) )
| ~ spl21_212 ),
inference(avatar_component_clause,[],[f2134]) ).
tff(f12900,plain,
( spl21_786
| ~ spl21_72
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f3035,f2134,f844,f12898]) ).
tff(f12898,plain,
( spl21_786
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_786])]) ).
tff(f3035,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_212 ),
inference(resolution,[],[f2135,f845]) ).
tff(f12896,plain,
( spl21_785
| ~ spl21_73
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f3034,f2134,f848,f12894]) ).
tff(f12894,plain,
( spl21_785
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_785])]) ).
tff(f3034,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_212 ),
inference(resolution,[],[f2135,f849]) ).
tff(f12892,plain,
( spl21_784
| ~ spl21_71
| ~ spl21_205 ),
inference(avatar_split_clause,[],[f3029,f2079,f840,f12890]) ).
tff(f12890,plain,
( spl21_784
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_784])]) ).
tff(f2079,plain,
( spl21_205
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_205])]) ).
tff(f3029,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_205 ),
inference(resolution,[],[f2080,f841]) ).
tff(f2080,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17)) )
| ~ spl21_205 ),
inference(avatar_component_clause,[],[f2079]) ).
tff(f12888,plain,
( spl21_783
| ~ spl21_72
| ~ spl21_205 ),
inference(avatar_split_clause,[],[f3028,f2079,f844,f12886]) ).
tff(f12886,plain,
( spl21_783
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_783])]) ).
tff(f3028,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_205 ),
inference(resolution,[],[f2080,f845]) ).
tff(f12884,plain,
( spl21_782
| ~ spl21_73
| ~ spl21_205 ),
inference(avatar_split_clause,[],[f3027,f2079,f848,f12882]) ).
tff(f12882,plain,
( spl21_782
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_782])]) ).
tff(f3027,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_205 ),
inference(resolution,[],[f2080,f849]) ).
tff(f12880,plain,
( spl21_781
| ~ spl21_71
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2225,f2038,f840,f12878]) ).
tff(f12878,plain,
( spl21_781
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_781])]) ).
tff(f2038,plain,
( spl21_204
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_204])]) ).
tff(f2225,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,X0),X1) )
| ~ spl21_71
| ~ spl21_204 ),
inference(resolution,[],[f2039,f841]) ).
tff(f2039,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_204 ),
inference(avatar_component_clause,[],[f2038]) ).
tff(f12876,plain,
( spl21_780
| ~ spl21_72
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2224,f2038,f844,f12874]) ).
tff(f12874,plain,
( spl21_780
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK17,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_780])]) ).
tff(f2224,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK17,X0)) )
| ~ spl21_72
| ~ spl21_204 ),
inference(resolution,[],[f2039,f845]) ).
tff(f12872,plain,
( spl21_779
| ~ spl21_73
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2223,f2038,f848,f12870]) ).
tff(f12870,plain,
( spl21_779
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(sK17,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_779])]) ).
tff(f2223,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(sK17,X0)) )
| ~ spl21_73
| ~ spl21_204 ),
inference(resolution,[],[f2039,f849]) ).
tff(f12868,plain,
( spl21_778
| ~ spl21_71
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2219,f2038,f840,f12866]) ).
tff(f12866,plain,
( spl21_778
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_778])]) ).
tff(f2219,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),X1) )
| ~ spl21_71
| ~ spl21_204 ),
inference(resolution,[],[f2039,f841]) ).
tff(f12864,plain,
( spl21_777
| ~ spl21_72
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2218,f2038,f844,f12862]) ).
tff(f12862,plain,
( spl21_777
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_777])]) ).
tff(f2218,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_72
| ~ spl21_204 ),
inference(resolution,[],[f2039,f845]) ).
tff(f12860,plain,
( spl21_776
| ~ spl21_73
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2217,f2038,f848,f12858]) ).
tff(f12858,plain,
( spl21_776
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_776])]) ).
tff(f2217,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| p(inj__o(X1))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| ~ spl21_73
| ~ spl21_204 ),
inference(resolution,[],[f2039,f849]) ).
tff(f12852,plain,
( spl21_98
| spl21_1
| ~ spl21_69
| ~ spl21_256
| spl21_282
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f12850,f3170,f2801,f2568,f829,f509,f997]) ).
tff(f997,plain,
( spl21_98
<=> ! [X0: tp__o] : p(inj__o(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_98])]) ).
tff(f829,plain,
( spl21_69
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| p(inj__o(X0))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_69])]) ).
tff(f2568,plain,
( spl21_256
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_256])]) ).
tff(f12850,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| ~ spl21_69
| ~ spl21_256
| spl21_282
| ~ spl21_324 ),
inference(forward_demodulation,[],[f2708,f11905]) ).
tff(f2708,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18))) )
| ~ spl21_69
| ~ spl21_256 ),
inference(duplicate_literal_removal,[],[f2706]) ).
tff(f2706,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18))) )
| ~ spl21_69
| ~ spl21_256 ),
inference(resolution,[],[f2569,f830]) ).
tff(f830,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP1(X0,X1)
| p(inj__o(X0))
| p(inj__o(X1)) )
| ~ spl21_69 ),
inference(avatar_component_clause,[],[f829]) ).
tff(f2569,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) )
| ~ spl21_256 ),
inference(avatar_component_clause,[],[f2568]) ).
tff(f12846,plain,
( spl21_282
| spl21_98
| ~ spl21_69
| ~ spl21_262 ),
inference(avatar_split_clause,[],[f2750,f2614,f829,f997,f2801]) ).
tff(f2614,plain,
( spl21_262
<=> ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),X0)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_262])]) ).
tff(f2750,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18))) )
| ~ spl21_69
| ~ spl21_262 ),
inference(duplicate_literal_removal,[],[f2748]) ).
tff(f2748,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)))
| p(inj__o(X0)) )
| ~ spl21_69
| ~ spl21_262 ),
inference(resolution,[],[f2615,f830]) ).
tff(f2615,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),X0)
| p(inj__o(X0)) )
| ~ spl21_262 ),
inference(avatar_component_clause,[],[f2614]) ).
tff(f12519,plain,
( spl21_775
| spl21_319
| ~ spl21_727 ),
inference(avatar_split_clause,[],[f12163,f10693,f3112,f12516]) ).
tff(f12516,plain,
( spl21_775
<=> sP1(fo__c_2Ebool_2EF,fo__c_2Eextreal_2Eextreal__le(sK18,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_775])]) ).
tff(f3112,plain,
( spl21_319
<=> sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_319])]) ).
tff(f10693,plain,
( spl21_727
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP1(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_727])]) ).
tff(f12163,plain,
( sP1(fo__c_2Ebool_2EF,fo__c_2Eextreal_2Eextreal__le(sK18,sK17))
| spl21_319
| ~ spl21_727 ),
inference(resolution,[],[f3113,f10694]) ).
tff(f10694,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_727 ),
inference(avatar_component_clause,[],[f10693]) ).
tff(f3113,plain,
( ~ sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| spl21_319 ),
inference(avatar_component_clause,[],[f3112]) ).
tff(f11947,plain,
( ~ spl21_3
| spl21_1
| spl21_774
| ~ spl21_136
| ~ spl21_226 ),
inference(avatar_split_clause,[],[f2313,f2190,f1320,f11945,f509,f519]) ).
tff(f519,plain,
( spl21_3
<=> mem(c_2Ebool_2EF,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
tff(f11945,plain,
( spl21_774
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_774])]) ).
tff(f1320,plain,
( spl21_136
<=> ! [X0,X1] :
( p(X1)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_136])]) ).
tff(f2190,plain,
( spl21_226
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_226])]) ).
tff(f2313,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)))
| p(c_2Ebool_2EF)
| ~ mem(c_2Ebool_2EF,bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_136
| ~ spl21_226 ),
inference(superposition,[],[f1321,f2191]) ).
tff(f2191,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_226 ),
inference(avatar_component_clause,[],[f2190]) ).
tff(f1321,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_136 ),
inference(avatar_component_clause,[],[f1320]) ).
tff(f11928,plain,
( ~ spl21_3
| spl21_1
| spl21_773
| ~ spl21_135
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f2300,f2182,f1316,f11926,f509,f519]) ).
tff(f11926,plain,
( spl21_773
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_773])]) ).
tff(f1316,plain,
( spl21_135
<=> ! [X0,X1] :
( p(X0)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_135])]) ).
tff(f2182,plain,
( spl21_224
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_224])]) ).
tff(f2300,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)))
| p(c_2Ebool_2EF)
| ~ mem(inj__o(X0),bool)
| ~ mem(c_2Ebool_2EF,bool) )
| ~ spl21_135
| ~ spl21_224 ),
inference(superposition,[],[f1317,f2183]) ).
tff(f2183,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_224 ),
inference(avatar_component_clause,[],[f2182]) ).
tff(f1317,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_135 ),
inference(avatar_component_clause,[],[f1316]) ).
tff(f11855,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_70
| ~ spl21_319
| ~ spl21_325
| ~ spl21_353 ),
inference(avatar_split_clause,[],[f11590,f3418,f3174,f3112,f833,f529,f514]) ).
tff(f3418,plain,
( spl21_353
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_353])]) ).
tff(f11590,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_319
| ~ spl21_325
| ~ spl21_353 ),
inference(duplicate_literal_removal,[],[f11589]) ).
tff(f11589,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_319
| ~ spl21_325
| ~ spl21_353 ),
inference(forward_demodulation,[],[f3314,f7627]) ).
tff(f7627,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)) )
| ~ spl21_325
| ~ spl21_353 ),
inference(resolution,[],[f3419,f3175]) ).
tff(f3419,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ spl21_353 ),
inference(avatar_component_clause,[],[f3418]) ).
tff(f3314,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ spl21_5
| ~ spl21_70
| ~ spl21_319 ),
inference(forward_demodulation,[],[f3312,f531]) ).
tff(f3312,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ spl21_70
| ~ spl21_319 ),
inference(resolution,[],[f3114,f834]) ).
tff(f3114,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| ~ spl21_319 ),
inference(avatar_component_clause,[],[f3112]) ).
tff(f11588,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_70
| ~ spl21_312
| ~ spl21_325
| ~ spl21_353 ),
inference(avatar_split_clause,[],[f11366,f3418,f3174,f3065,f833,f529,f514]) ).
tff(f3065,plain,
( spl21_312
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_312])]) ).
tff(f11366,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_312
| ~ spl21_325
| ~ spl21_353 ),
inference(duplicate_literal_removal,[],[f11365]) ).
tff(f11365,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_312
| ~ spl21_325
| ~ spl21_353 ),
inference(forward_demodulation,[],[f3267,f7627]) ).
tff(f3267,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ spl21_5
| ~ spl21_70
| ~ spl21_312 ),
inference(forward_demodulation,[],[f3265,f531]) ).
tff(f3265,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_312 ),
inference(resolution,[],[f3067,f834]) ).
tff(f3067,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK17))
| ~ spl21_312 ),
inference(avatar_component_clause,[],[f3065]) ).
tff(f11500,plain,
( spl21_772
| ~ spl21_355
| ~ spl21_356 ),
inference(avatar_split_clause,[],[f11342,f3473,f3469,f11496]) ).
tff(f11496,plain,
( spl21_772
<=> mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_5C_2F),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_772])]) ).
tff(f3469,plain,
( spl21_355
<=> mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Ebool_2E_5C_2F),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_355])]) ).
tff(f3473,plain,
( spl21_356
<=> ( c_2Ebool_2E_5C_2F = c_2Ebool_2E_2F_5C ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_356])]) ).
tff(f11342,plain,
( mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_5C_2F),bool)
| ~ spl21_355
| ~ spl21_356 ),
inference(forward_demodulation,[],[f3471,f3475]) ).
tff(f3475,plain,
( ( c_2Ebool_2E_5C_2F = c_2Ebool_2E_2F_5C )
| ~ spl21_356 ),
inference(avatar_component_clause,[],[f3473]) ).
tff(f3471,plain,
( mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Ebool_2E_5C_2F),bool)
| ~ spl21_355 ),
inference(avatar_component_clause,[],[f3469]) ).
tff(f11499,plain,
( ~ spl21_772
| ~ spl21_356
| spl21_358 ),
inference(avatar_split_clause,[],[f11329,f3516,f3473,f11496]) ).
tff(f3516,plain,
( spl21_358
<=> mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_358])]) ).
tff(f11329,plain,
( ~ mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_5C_2F),bool)
| ~ spl21_356
| spl21_358 ),
inference(forward_demodulation,[],[f3517,f3475]) ).
tff(f3517,plain,
( ~ mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C),bool)
| spl21_358 ),
inference(avatar_component_clause,[],[f3516]) ).
tff(f11361,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_70
| ~ spl21_465
| ~ spl21_752 ),
inference(avatar_split_clause,[],[f11303,f10936,f4929,f833,f529,f514]) ).
tff(f4929,plain,
( spl21_465
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_465])]) ).
tff(f10936,plain,
( spl21_752
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_752])]) ).
tff(f11303,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_465
| ~ spl21_752 ),
inference(duplicate_literal_removal,[],[f11302]) ).
tff(f11302,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_70
| ~ spl21_465
| ~ spl21_752 ),
inference(forward_demodulation,[],[f11301,f531]) ).
tff(f11301,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_465
| ~ spl21_752 ),
inference(forward_demodulation,[],[f11300,f4931]) ).
tff(f4931,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) )
| ~ spl21_465 ),
inference(avatar_component_clause,[],[f4929]) ).
tff(f11300,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_752 ),
inference(resolution,[],[f10938,f834]) ).
tff(f10938,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| ~ spl21_752 ),
inference(avatar_component_clause,[],[f10936]) ).
tff(f11328,plain,
( spl21_352
| ~ spl21_350
| ~ spl21_356 ),
inference(avatar_split_clause,[],[f11326,f3473,f3384,f3413]) ).
tff(f3413,plain,
( spl21_352
<=> ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_352])]) ).
tff(f3384,plain,
( spl21_350
<=> ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_5C_2F ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_350])]) ).
tff(f11326,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C )
| ~ spl21_350
| ~ spl21_356 ),
inference(forward_demodulation,[],[f3475,f3386]) ).
tff(f3386,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_5C_2F )
| ~ spl21_350 ),
inference(avatar_component_clause,[],[f3384]) ).
tff(f11318,plain,
( ~ spl21_3
| spl21_1
| spl21_771
| ~ spl21_105
| ~ spl21_107
| ~ spl21_135
| ~ spl21_224
| ~ spl21_352 ),
inference(avatar_split_clause,[],[f11305,f3413,f2182,f1316,f1077,f1069,f11316,f509,f519]) ).
tff(f11316,plain,
( spl21_771
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_771])]) ).
tff(f1069,plain,
( spl21_105
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).
tff(f1077,plain,
( spl21_107
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_107])]) ).
tff(f11305,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)))
| p(c_2Ebool_2EF)
| ~ mem(inj__o(X0),bool)
| ~ mem(c_2Ebool_2EF,bool) )
| ~ spl21_105
| ~ spl21_107
| ~ spl21_135
| ~ spl21_224
| ~ spl21_352 ),
inference(forward_demodulation,[],[f2300,f3498]) ).
tff(f3498,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) )
| ~ spl21_105
| ~ spl21_107
| ~ spl21_352 ),
inference(forward_demodulation,[],[f3485,f1070]) ).
tff(f1070,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) )
| ~ spl21_105 ),
inference(avatar_component_clause,[],[f1069]) ).
tff(f3485,plain,
( ! [X0: tp__o,X1: tp__o] : ( ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) = inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) )
| ~ spl21_107
| ~ spl21_352 ),
inference(superposition,[],[f1078,f3415]) ).
tff(f3415,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C )
| ~ spl21_352 ),
inference(avatar_component_clause,[],[f3413]) ).
tff(f1078,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) )
| ~ spl21_107 ),
inference(avatar_component_clause,[],[f1077]) ).
tff(f11310,plain,
( ~ spl21_3
| spl21_1
| spl21_770
| ~ spl21_139
| ~ spl21_215 ),
inference(avatar_split_clause,[],[f2239,f2146,f1332,f11308,f509,f519]) ).
tff(f11308,plain,
( spl21_770
<=> ! [X0: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_770])]) ).
tff(f1332,plain,
( spl21_139
<=> ! [X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_139])]) ).
tff(f2146,plain,
( spl21_215
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_215])]) ).
tff(f2239,plain,
( ! [X0: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)))
| p(c_2Ebool_2EF)
| ~ mem(inj__o(X0),bool)
| ~ mem(c_2Ebool_2EF,bool) )
| ~ spl21_139
| ~ spl21_215 ),
inference(superposition,[],[f1333,f2147]) ).
tff(f2147,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_215 ),
inference(avatar_component_clause,[],[f2146]) ).
tff(f1333,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_139 ),
inference(avatar_component_clause,[],[f1332]) ).
tff(f11304,plain,
( ~ spl21_3
| spl21_334
| ~ spl21_411 ),
inference(avatar_split_clause,[],[f4418,f4413,f3277,f519]) ).
tff(f3277,plain,
( spl21_334
<=> p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_334])]) ).
tff(f4413,plain,
( spl21_411
<=> ! [X0] :
( ~ mem(X0,bool)
| p(ap(c_2Ebool_2E_7E,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_411])]) ).
tff(f4418,plain,
( ~ mem(c_2Ebool_2EF,bool)
| spl21_334
| ~ spl21_411 ),
inference(resolution,[],[f4414,f3278]) ).
tff(f3278,plain,
( ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| spl21_334 ),
inference(avatar_component_clause,[],[f3277]) ).
tff(f4414,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) )
| ~ spl21_411 ),
inference(avatar_component_clause,[],[f4413]) ).
tff(f11279,plain,
( ~ spl21_4
| spl21_769
| ~ spl21_105
| ~ spl21_107
| ~ spl21_135
| ~ spl21_225
| ~ spl21_352 ),
inference(avatar_split_clause,[],[f11241,f3413,f2186,f1316,f1077,f1069,f11277,f524]) ).
tff(f524,plain,
( spl21_4
<=> mem(c_2Ebool_2ET,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
tff(f11277,plain,
( spl21_769
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)))
| ~ mem(inj__o(X0),bool)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_769])]) ).
tff(f2186,plain,
( spl21_225
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_225])]) ).
tff(f11241,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)))
| p(inj__o(X0))
| ~ mem(c_2Ebool_2ET,bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_105
| ~ spl21_107
| ~ spl21_135
| ~ spl21_225
| ~ spl21_352 ),
inference(forward_demodulation,[],[f2307,f3498]) ).
tff(f2307,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)))
| p(inj__o(X0))
| ~ mem(c_2Ebool_2ET,bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_135
| ~ spl21_225 ),
inference(superposition,[],[f1317,f2187]) ).
tff(f2187,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_225 ),
inference(avatar_component_clause,[],[f2186]) ).
tff(f11253,plain,
( ~ spl21_4
| spl21_768
| ~ spl21_105
| ~ spl21_107
| ~ spl21_136
| ~ spl21_222
| ~ spl21_352 ),
inference(avatar_split_clause,[],[f11240,f3413,f2174,f1320,f1077,f1069,f11251,f524]) ).
tff(f11251,plain,
( spl21_768
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)))
| ~ mem(inj__o(X0),bool)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_768])]) ).
tff(f2174,plain,
( spl21_222
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_222])]) ).
tff(f11240,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(c_2Ebool_2ET,bool) )
| ~ spl21_105
| ~ spl21_107
| ~ spl21_136
| ~ spl21_222
| ~ spl21_352 ),
inference(forward_demodulation,[],[f2292,f3498]) ).
tff(f2292,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(c_2Ebool_2ET,bool) )
| ~ spl21_136
| ~ spl21_222 ),
inference(superposition,[],[f1321,f2175]) ).
tff(f2175,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_222 ),
inference(avatar_component_clause,[],[f2174]) ).
tff(f11245,plain,
( ~ spl21_4
| spl21_767
| ~ spl21_139
| ~ spl21_216 ),
inference(avatar_split_clause,[],[f2246,f2150,f1332,f11243,f524]) ).
tff(f11243,plain,
( spl21_767
<=> ! [X0: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)))
| ~ mem(inj__o(X0),bool)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_767])]) ).
tff(f2150,plain,
( spl21_216
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_216])]) ).
tff(f2246,plain,
( ! [X0: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)))
| p(inj__o(X0))
| ~ mem(c_2Ebool_2ET,bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_139
| ~ spl21_216 ),
inference(superposition,[],[f1333,f2151]) ).
tff(f2151,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_216 ),
inference(avatar_component_clause,[],[f2150]) ).
tff(f11239,plain,
( ~ spl21_4
| spl21_332
| ~ spl21_411 ),
inference(avatar_split_clause,[],[f4417,f4413,f3260,f524]) ).
tff(f3260,plain,
( spl21_332
<=> p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_332])]) ).
tff(f4417,plain,
( ~ mem(c_2Ebool_2ET,bool)
| spl21_332
| ~ spl21_411 ),
inference(resolution,[],[f4414,f3261]) ).
tff(f3261,plain,
( ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| spl21_332 ),
inference(avatar_component_clause,[],[f3260]) ).
tff(f11212,plain,
( spl21_766
| spl21_229
| ~ spl21_744 ),
inference(avatar_split_clause,[],[f10877,f10795,f2283,f11209]) ).
tff(f11209,plain,
( spl21_766
<=> sP0(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_766])]) ).
tff(f10795,plain,
( spl21_744
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_744])]) ).
tff(f10877,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),fo__c_2Ebool_2ET)
| spl21_229
| ~ spl21_744 ),
inference(resolution,[],[f10796,f2284]) ).
tff(f10796,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| sP0(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET) )
| ~ spl21_744 ),
inference(avatar_component_clause,[],[f10795]) ).
tff(f11183,plain,
( spl21_765
| spl21_15
| ~ spl21_536 ),
inference(avatar_split_clause,[],[f6667,f5881,f581,f11181]) ).
tff(f11181,plain,
( spl21_765
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_765])]) ).
tff(f5881,plain,
( spl21_536
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_536])]) ).
tff(f6667,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| spl21_15
| ~ spl21_536 ),
inference(resolution,[],[f5882,f583]) ).
tff(f5882,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X2)) )
| ~ spl21_536 ),
inference(avatar_component_clause,[],[f5881]) ).
tff(f11179,plain,
( spl21_764
| spl21_15
| ~ spl21_535 ),
inference(avatar_split_clause,[],[f6630,f5877,f581,f11177]) ).
tff(f11177,plain,
( spl21_764
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_764])]) ).
tff(f5877,plain,
( spl21_535
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_535])]) ).
tff(f6630,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK16),fo__c_2Ebool_2ET) )
| spl21_15
| ~ spl21_535 ),
inference(resolution,[],[f5878,f583]) ).
tff(f5878,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) )
| ~ spl21_535 ),
inference(avatar_component_clause,[],[f5877]) ).
tff(f11175,plain,
( spl21_763
| spl21_15
| ~ spl21_534 ),
inference(avatar_split_clause,[],[f6593,f5873,f581,f11173]) ).
tff(f11173,plain,
( spl21_763
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK16),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_763])]) ).
tff(f5873,plain,
( spl21_534
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_534])]) ).
tff(f6593,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK16),fo__c_2Ebool_2ET) )
| spl21_15
| ~ spl21_534 ),
inference(resolution,[],[f5874,f583]) ).
tff(f5874,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) )
| ~ spl21_534 ),
inference(avatar_component_clause,[],[f5873]) ).
tff(f11171,plain,
( spl21_762
| ~ spl21_504
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f6153,f5576,f5410,f11169]) ).
tff(f11169,plain,
( spl21_762
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_762])]) ).
tff(f5410,plain,
( spl21_504
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_504])]) ).
tff(f5576,plain,
( spl21_514
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_514])]) ).
tff(f6153,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) )
| ~ spl21_504
| ~ spl21_514 ),
inference(resolution,[],[f5411,f5578]) ).
tff(f5578,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| ~ spl21_514 ),
inference(avatar_component_clause,[],[f5576]) ).
tff(f5411,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_504 ),
inference(avatar_component_clause,[],[f5410]) ).
tff(f11167,plain,
( spl21_761
| ~ spl21_503
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f6072,f5576,f5406,f11165]) ).
tff(f11165,plain,
( spl21_761
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_761])]) ).
tff(f5406,plain,
( spl21_503
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_503])]) ).
tff(f6072,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) )
| ~ spl21_503
| ~ spl21_514 ),
inference(resolution,[],[f5407,f5578]) ).
tff(f5407,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_503 ),
inference(avatar_component_clause,[],[f5406]) ).
tff(f11163,plain,
( spl21_760
| ~ spl21_502
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f5948,f5576,f5402,f11161]) ).
tff(f11161,plain,
( spl21_760
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_760])]) ).
tff(f5402,plain,
( spl21_502
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X1))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_502])]) ).
tff(f5948,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0))) )
| ~ spl21_502
| ~ spl21_514 ),
inference(resolution,[],[f5403,f5578]) ).
tff(f5403,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X1))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_502 ),
inference(avatar_component_clause,[],[f5402]) ).
tff(f11159,plain,
( spl21_1
| ~ spl21_154
| ~ spl21_162
| ~ spl21_715 ),
inference(avatar_split_clause,[],[f11097,f10329,f1527,f1425,f509]) ).
tff(f10329,plain,
( spl21_715
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_715])]) ).
tff(f11097,plain,
( p(c_2Ebool_2EF)
| ~ spl21_154
| ~ spl21_162
| ~ spl21_715 ),
inference(forward_demodulation,[],[f3063,f10331]) ).
tff(f10331,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_715 ),
inference(avatar_component_clause,[],[f10329]) ).
tff(f3063,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_154
| ~ spl21_162 ),
inference(duplicate_literal_removal,[],[f3058]) ).
tff(f3058,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_154
| ~ spl21_162 ),
inference(resolution,[],[f1528,f1426]) ).
tff(f11094,plain,
( spl21_154
| ~ spl21_20
| ~ spl21_315 ),
inference(avatar_split_clause,[],[f3088,f3078,f616,f1425]) ).
tff(f3088,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) )
| ~ spl21_20
| ~ spl21_315 ),
inference(resolution,[],[f3079,f617]) ).
tff(f3079,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_315 ),
inference(avatar_component_clause,[],[f3078]) ).
tff(f11012,plain,
( spl21_759
| spl21_229
| ~ spl21_742 ),
inference(avatar_split_clause,[],[f10845,f10787,f2283,f11009]) ).
tff(f11009,plain,
( spl21_759
<=> sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_759])]) ).
tff(f10787,plain,
( spl21_742
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_742])]) ).
tff(f10845,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),fo__c_2Ebool_2ET)
| spl21_229
| ~ spl21_742 ),
inference(resolution,[],[f10788,f2284]) ).
tff(f10788,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET) )
| ~ spl21_742 ),
inference(avatar_component_clause,[],[f10787]) ).
tff(f10963,plain,
( spl21_758
| ~ spl21_325
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f5753,f5688,f3174,f10961]) ).
tff(f10961,plain,
( spl21_758
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_758])]) ).
tff(f5753,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_524 ),
inference(resolution,[],[f5689,f3175]) ).
tff(f10959,plain,
( spl21_757
| ~ spl21_325
| ~ spl21_523 ),
inference(avatar_split_clause,[],[f5729,f5684,f3174,f10957]) ).
tff(f10957,plain,
( spl21_757
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_757])]) ).
tff(f5729,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET)
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_523 ),
inference(resolution,[],[f5685,f3175]) ).
tff(f10955,plain,
( spl21_756
| ~ spl21_325
| ~ spl21_522 ),
inference(avatar_split_clause,[],[f5720,f5680,f3174,f10953]) ).
tff(f10953,plain,
( spl21_756
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_756])]) ).
tff(f5720,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_522 ),
inference(resolution,[],[f5681,f3175]) ).
tff(f10951,plain,
( spl21_755
| ~ spl21_325
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5703,f5661,f3174,f10949]) ).
tff(f10949,plain,
( spl21_755
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_755])]) ).
tff(f5703,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) ) )
| ~ spl21_325
| ~ spl21_518 ),
inference(resolution,[],[f5662,f3175]) ).
tff(f10947,plain,
( spl21_754
| ~ spl21_325
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5696,f5661,f3174,f10945]) ).
tff(f10945,plain,
( spl21_754
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_754])]) ).
tff(f5696,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)) ) )
| ~ spl21_325
| ~ spl21_518 ),
inference(resolution,[],[f5662,f3175]) ).
tff(f10943,plain,
( spl21_753
| ~ spl21_324
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5598,f5519,f3170,f10941]) ).
tff(f10941,plain,
( spl21_753
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK18)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_753])]) ).
tff(f5598,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK18)) ) )
| ~ spl21_324
| ~ spl21_513 ),
inference(resolution,[],[f5520,f3171]) ).
tff(f10939,plain,
( spl21_752
| spl21_229
| ~ spl21_739 ),
inference(avatar_split_clause,[],[f10810,f10774,f2283,f10936]) ).
tff(f10774,plain,
( spl21_739
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_739])]) ).
tff(f10810,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| spl21_229
| ~ spl21_739 ),
inference(resolution,[],[f10775,f2284]) ).
tff(f10775,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,X0)) )
| ~ spl21_739 ),
inference(avatar_component_clause,[],[f10774]) ).
tff(f10934,plain,
( spl21_751
| ~ spl21_204
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3221,f3174,f2038,f10932]) ).
tff(f10932,plain,
( spl21_751
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_751])]) ).
tff(f3221,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_204
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2039]) ).
tff(f10930,plain,
( spl21_750
| ~ spl21_205
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3220,f3174,f2079,f10928]) ).
tff(f10928,plain,
( spl21_750
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_750])]) ).
tff(f3220,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17)) )
| ~ spl21_205
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2080]) ).
tff(f10926,plain,
( spl21_749
| ~ spl21_212
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3219,f3174,f2134,f10924]) ).
tff(f10924,plain,
( spl21_749
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_749])]) ).
tff(f3219,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) )
| ~ spl21_212
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2135]) ).
tff(f10922,plain,
( spl21_748
| ~ spl21_223
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3218,f3174,f2178,f10920]) ).
tff(f10920,plain,
( spl21_748
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_748])]) ).
tff(f3218,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)) )
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET) )
| ~ spl21_223
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2179]) ).
tff(f10918,plain,
( spl21_747
| ~ spl21_204
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3209,f3174,f2038,f10916]) ).
tff(f10916,plain,
( spl21_747
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_747])]) ).
tff(f3209,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_204
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2039]) ).
tff(f10914,plain,
( spl21_746
| ~ spl21_188
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f3193,f3170,f1916,f10912]) ).
tff(f10912,plain,
( spl21_746
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK17)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_746])]) ).
tff(f3193,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK17)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_188
| ~ spl21_324 ),
inference(resolution,[],[f3171,f1917]) ).
tff(f10801,plain,
( spl21_745
| ~ spl21_17
| ~ spl21_504 ),
inference(avatar_split_clause,[],[f6168,f5410,f594,f10799]) ).
tff(f10799,plain,
( spl21_745
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_745])]) ).
tff(f594,plain,
( spl21_17
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
tff(f6168,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) )
| ~ spl21_17
| ~ spl21_504 ),
inference(resolution,[],[f5411,f595]) ).
tff(f595,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f594]) ).
tff(f10797,plain,
( spl21_744
| ~ spl21_14
| ~ spl21_504 ),
inference(avatar_split_clause,[],[f6156,f5410,f576,f10795]) ).
tff(f6156,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_14
| ~ spl21_504 ),
inference(resolution,[],[f5411,f578]) ).
tff(f578,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f576]) ).
tff(f10793,plain,
( spl21_743
| ~ spl21_17
| ~ spl21_503 ),
inference(avatar_split_clause,[],[f6087,f5406,f594,f10791]) ).
tff(f10791,plain,
( spl21_743
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_743])]) ).
tff(f6087,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) )
| ~ spl21_17
| ~ spl21_503 ),
inference(resolution,[],[f5407,f595]) ).
tff(f10789,plain,
( spl21_742
| ~ spl21_14
| ~ spl21_503 ),
inference(avatar_split_clause,[],[f6075,f5406,f576,f10787]) ).
tff(f6075,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,X0),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_14
| ~ spl21_503 ),
inference(resolution,[],[f5407,f578]) ).
tff(f10785,plain,
( spl21_741
| ~ spl21_17
| ~ spl21_502 ),
inference(avatar_split_clause,[],[f5963,f5402,f594,f10783]) ).
tff(f10783,plain,
( spl21_741
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_741])]) ).
tff(f5963,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0))) )
| ~ spl21_17
| ~ spl21_502 ),
inference(resolution,[],[f5403,f595]) ).
tff(f10781,plain,
( spl21_740
| spl21_326
| ~ spl21_731 ),
inference(avatar_split_clause,[],[f10732,f10724,f3178,f10778]) ).
tff(f10778,plain,
( spl21_740
<=> sP0(fo__c_2Ebool_2EF,fo__c_2Eextreal_2Eextreal__le(sK18,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_740])]) ).
tff(f3178,plain,
( spl21_326
<=> sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_326])]) ).
tff(f10732,plain,
( sP0(fo__c_2Ebool_2EF,fo__c_2Eextreal_2Eextreal__le(sK18,sK17))
| spl21_326
| ~ spl21_731 ),
inference(resolution,[],[f10725,f3179]) ).
tff(f3179,plain,
( ~ sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| spl21_326 ),
inference(avatar_component_clause,[],[f3178]) ).
tff(f10776,plain,
( spl21_739
| ~ spl21_14
| ~ spl21_502 ),
inference(avatar_split_clause,[],[f5951,f5402,f576,f10774]) ).
tff(f5951,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK16,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_14
| ~ spl21_502 ),
inference(resolution,[],[f5403,f578]) ).
tff(f10772,plain,
( spl21_738
| spl21_15
| ~ spl21_529 ),
inference(avatar_split_clause,[],[f5848,f5789,f581,f10770]) ).
tff(f10770,plain,
( spl21_738
<=> ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_738])]) ).
tff(f5789,plain,
( spl21_529
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_529])]) ).
tff(f5848,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_529 ),
inference(resolution,[],[f5790,f583]) ).
tff(f5790,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( sP0(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(X1)) )
| ~ spl21_529 ),
inference(avatar_component_clause,[],[f5789]) ).
tff(f10768,plain,
( spl21_737
| spl21_15
| ~ spl21_528 ),
inference(avatar_split_clause,[],[f5835,f5785,f581,f10766]) ).
tff(f10766,plain,
( spl21_737
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_737])]) ).
tff(f5835,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_528 ),
inference(resolution,[],[f5786,f583]) ).
tff(f10764,plain,
( spl21_736
| spl21_15
| ~ spl21_527 ),
inference(avatar_split_clause,[],[f5797,f5781,f581,f10762]) ).
tff(f10762,plain,
( spl21_736
<=> ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),X0)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_736])]) ).
tff(f5797,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),X0)
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_527 ),
inference(resolution,[],[f5782,f583]) ).
tff(f10757,plain,
( spl21_735
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_734 ),
inference(avatar_split_clause,[],[f10753,f10750,f10329,f653,f554,f10755]) ).
tff(f10755,plain,
( spl21_735
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_735])]) ).
tff(f10750,plain,
( spl21_734
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_734])]) ).
tff(f10753,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_734 ),
inference(forward_demodulation,[],[f10751,f10440]) ).
tff(f10440,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715 ),
inference(forward_demodulation,[],[f10381,f655]) ).
tff(f10381,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16) )
| ~ spl21_10
| ~ spl21_715 ),
inference(superposition,[],[f555,f10331]) ).
tff(f10751,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_734 ),
inference(avatar_component_clause,[],[f10750]) ).
tff(f10752,plain,
( spl21_734
| spl21_15
| ~ spl21_347 ),
inference(avatar_split_clause,[],[f5570,f3372,f581,f10750]) ).
tff(f5570,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| sP0(X0,fo__c_2Ebool_2ET) )
| spl21_15
| ~ spl21_347 ),
inference(resolution,[],[f583,f3373]) ).
tff(f10745,plain,
( spl21_733
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_732 ),
inference(avatar_split_clause,[],[f10741,f10738,f10329,f653,f554,f10743]) ).
tff(f10743,plain,
( spl21_733
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_733])]) ).
tff(f10738,plain,
( spl21_732
<=> ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0)
| sP0(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_732])]) ).
tff(f10741,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_732 ),
inference(forward_demodulation,[],[f10739,f10440]) ).
tff(f10739,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0)
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_732 ),
inference(avatar_component_clause,[],[f10738]) ).
tff(f10740,plain,
( spl21_732
| spl21_15
| ~ spl21_346 ),
inference(avatar_split_clause,[],[f5569,f3368,f581,f10738]) ).
tff(f5569,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0)
| sP0(X0,fo__c_2Ebool_2ET) )
| spl21_15
| ~ spl21_346 ),
inference(resolution,[],[f583,f3369]) ).
tff(f10726,plain,
( spl21_731
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_730 ),
inference(avatar_split_clause,[],[f10722,f10719,f10329,f653,f554,f10724]) ).
tff(f10719,plain,
( spl21_730
<=> ! [X0: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_730])]) ).
tff(f10722,plain,
( ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_730 ),
inference(forward_demodulation,[],[f10720,f10440]) ).
tff(f10720,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_730 ),
inference(avatar_component_clause,[],[f10719]) ).
tff(f10721,plain,
( spl21_730
| spl21_15
| ~ spl21_345 ),
inference(avatar_split_clause,[],[f5568,f3364,f581,f10719]) ).
tff(f5568,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| spl21_15
| ~ spl21_345 ),
inference(resolution,[],[f583,f3365]) ).
tff(f10714,plain,
( spl21_729
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_728 ),
inference(avatar_split_clause,[],[f10710,f10707,f10329,f653,f554,f10712]) ).
tff(f10712,plain,
( spl21_729
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP1(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_729])]) ).
tff(f10707,plain,
( spl21_728
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_728])]) ).
tff(f10710,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_728 ),
inference(forward_demodulation,[],[f10708,f10440]) ).
tff(f10708,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_728 ),
inference(avatar_component_clause,[],[f10707]) ).
tff(f10709,plain,
( spl21_728
| spl21_15
| ~ spl21_344 ),
inference(avatar_split_clause,[],[f5567,f3360,f581,f10707]) ).
tff(f5567,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| spl21_15
| ~ spl21_344 ),
inference(resolution,[],[f583,f3361]) ).
tff(f10695,plain,
( spl21_727
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_726 ),
inference(avatar_split_clause,[],[f10691,f10688,f10329,f653,f554,f10693]) ).
tff(f10688,plain,
( spl21_726
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_726])]) ).
tff(f10691,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_726 ),
inference(forward_demodulation,[],[f10689,f10440]) ).
tff(f10689,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_726 ),
inference(avatar_component_clause,[],[f10688]) ).
tff(f10690,plain,
( spl21_726
| spl21_15
| ~ spl21_343 ),
inference(avatar_split_clause,[],[f5566,f3356,f581,f10688]) ).
tff(f5566,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| spl21_15
| ~ spl21_343 ),
inference(resolution,[],[f583,f3357]) ).
tff(f10679,plain,
( spl21_725
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_724 ),
inference(avatar_split_clause,[],[f10675,f10672,f10329,f653,f554,f10677]) ).
tff(f10677,plain,
( spl21_725
<=> ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP1(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_725])]) ).
tff(f10672,plain,
( spl21_724
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_724])]) ).
tff(f10675,plain,
( ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_724 ),
inference(forward_demodulation,[],[f10673,f10440]) ).
tff(f10673,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_724 ),
inference(avatar_component_clause,[],[f10672]) ).
tff(f10674,plain,
( spl21_724
| spl21_15
| ~ spl21_342 ),
inference(avatar_split_clause,[],[f5565,f3349,f581,f10672]) ).
tff(f5565,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| spl21_15
| ~ spl21_342 ),
inference(resolution,[],[f583,f3350]) ).
tff(f10660,plain,
( spl21_723
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_722 ),
inference(avatar_split_clause,[],[f10656,f10653,f10329,f653,f554,f10658]) ).
tff(f10658,plain,
( spl21_723
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP1(fo__c_2Ebool_2ET,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_723])]) ).
tff(f10653,plain,
( spl21_722
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_722])]) ).
tff(f10656,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Ebool_2EF)
| sP1(fo__c_2Ebool_2ET,X0) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_722 ),
inference(forward_demodulation,[],[f10654,f10440]) ).
tff(f10654,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ spl21_722 ),
inference(avatar_component_clause,[],[f10653]) ).
tff(f10655,plain,
( spl21_722
| spl21_15
| ~ spl21_341 ),
inference(avatar_split_clause,[],[f5564,f3345,f581,f10653]) ).
tff(f5564,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| spl21_15
| ~ spl21_341 ),
inference(resolution,[],[f583,f3346]) ).
tff(f10648,plain,
( spl21_721
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_720 ),
inference(avatar_split_clause,[],[f10644,f10641,f10329,f653,f554,f10646]) ).
tff(f10646,plain,
( spl21_721
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP1(fo__c_2Ebool_2ET,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_721])]) ).
tff(f10641,plain,
( spl21_720
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_720])]) ).
tff(f10644,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2EF,X0)
| sP1(fo__c_2Ebool_2ET,X0) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_720 ),
inference(forward_demodulation,[],[f10642,f10440]) ).
tff(f10642,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_720 ),
inference(avatar_component_clause,[],[f10641]) ).
tff(f10643,plain,
( spl21_720
| spl21_15
| ~ spl21_340 ),
inference(avatar_split_clause,[],[f5563,f3341,f581,f10641]) ).
tff(f5563,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| spl21_15
| ~ spl21_340 ),
inference(resolution,[],[f583,f3342]) ).
tff(f10630,plain,
( spl21_719
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_718 ),
inference(avatar_split_clause,[],[f10626,f10623,f10329,f653,f554,f10628]) ).
tff(f10628,plain,
( spl21_719
<=> ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP1(fo__c_2Ebool_2ET,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_719])]) ).
tff(f10623,plain,
( spl21_718
<=> ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_718])]) ).
tff(f10626,plain,
( ! [X0: tp__o] :
( sP0(fo__c_2Ebool_2EF,X0)
| sP1(fo__c_2Ebool_2ET,X0) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_715
| ~ spl21_718 ),
inference(forward_demodulation,[],[f10624,f10440]) ).
tff(f10624,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| ~ spl21_718 ),
inference(avatar_component_clause,[],[f10623]) ).
tff(f10625,plain,
( spl21_718
| spl21_15
| ~ spl21_339 ),
inference(avatar_split_clause,[],[f5562,f3337,f581,f10623]) ).
tff(f5562,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0) )
| spl21_15
| ~ spl21_339 ),
inference(resolution,[],[f583,f3338]) ).
tff(f10615,plain,
( spl21_717
| ~ spl21_8
| ~ spl21_311 ),
inference(avatar_split_clause,[],[f3051,f3045,f543,f10613]) ).
tff(f10613,plain,
( spl21_717
<=> ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_717])]) ).
tff(f543,plain,
( spl21_8
<=> ! [X0: tp__o] : mem(inj__o(X0),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
tff(f3045,plain,
( spl21_311
<=> ! [X0] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_311])]) ).
tff(f3051,plain,
( ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ p(inj__o(X0)) )
| ~ spl21_8
| ~ spl21_311 ),
inference(resolution,[],[f3046,f544]) ).
tff(f544,plain,
( ! [X0: tp__o] : mem(inj__o(X0),bool)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f543]) ).
tff(f3046,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) = X0 )
| ~ p(X0) )
| ~ spl21_311 ),
inference(avatar_component_clause,[],[f3045]) ).
tff(f10337,plain,
( spl21_716
| ~ spl21_325
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f5582,f5576,f3174,f10334]) ).
tff(f10334,plain,
( spl21_716
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_716])]) ).
tff(f5582,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))) )
| ~ spl21_325
| ~ spl21_514 ),
inference(resolution,[],[f5578,f3175]) ).
tff(f10332,plain,
( spl21_715
| spl21_15
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f5561,f3170,f581,f10329]) ).
tff(f5561,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| spl21_15
| ~ spl21_324 ),
inference(resolution,[],[f583,f3171]) ).
tff(f10292,plain,
( ~ spl21_714
| spl21_386
| ~ spl21_690 ),
inference(avatar_split_clause,[],[f10098,f9570,f4027,f10289]) ).
tff(f10289,plain,
( spl21_714
<=> ( fo__c_2Ebool_2ET = fo__c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_714])]) ).
tff(f4027,plain,
( spl21_386
<=> ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_386])]) ).
tff(f9570,plain,
( spl21_690
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_690])]) ).
tff(f10098,plain,
( ( fo__c_2Ebool_2ET != fo__c_2Ebool_2EF )
| spl21_386
| ~ spl21_690 ),
inference(superposition,[],[f4028,f9572]) ).
tff(f9572,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_690 ),
inference(avatar_component_clause,[],[f9570]) ).
tff(f4028,plain,
( ( fo__c_2Ebool_2EF != fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| spl21_386 ),
inference(avatar_component_clause,[],[f4027]) ).
tff(f10278,plain,
( spl21_713
| spl21_15
| ~ spl21_524 ),
inference(avatar_split_clause,[],[f5752,f5688,f581,f10275]) ).
tff(f10275,plain,
( spl21_713
<=> sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_713])]) ).
tff(f5752,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_524 ),
inference(resolution,[],[f5689,f583]) ).
tff(f10273,plain,
( spl21_712
| spl21_15
| ~ spl21_523 ),
inference(avatar_split_clause,[],[f5728,f5684,f581,f10270]) ).
tff(f10270,plain,
( spl21_712
<=> sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_712])]) ).
tff(f5728,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_523 ),
inference(resolution,[],[f5685,f583]) ).
tff(f10268,plain,
( spl21_711
| spl21_15
| ~ spl21_522 ),
inference(avatar_split_clause,[],[f5719,f5680,f581,f10265]) ).
tff(f10265,plain,
( spl21_711
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_711])]) ).
tff(f5719,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK18))
| spl21_15
| ~ spl21_522 ),
inference(resolution,[],[f5681,f583]) ).
tff(f10263,plain,
( spl21_710
| spl21_15
| ~ spl21_518 ),
inference(avatar_split_clause,[],[f5702,f5661,f581,f10260]) ).
tff(f10260,plain,
( spl21_710
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_710])]) ).
tff(f5702,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| spl21_15
| ~ spl21_518 ),
inference(resolution,[],[f5662,f583]) ).
tff(f10258,plain,
( spl21_709
| spl21_15
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f5551,f2038,f581,f10255]) ).
tff(f10255,plain,
( spl21_709
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_709])]) ).
tff(f5551,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| spl21_15
| ~ spl21_204 ),
inference(resolution,[],[f583,f2039]) ).
tff(f10253,plain,
( spl21_708
| spl21_15
| ~ spl21_205 ),
inference(avatar_split_clause,[],[f5550,f2079,f581,f10250]) ).
tff(f10250,plain,
( spl21_708
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_708])]) ).
tff(f5550,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17))
| spl21_15
| ~ spl21_205 ),
inference(resolution,[],[f583,f2080]) ).
tff(f10248,plain,
( spl21_707
| spl21_15
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f5549,f2134,f581,f10245]) ).
tff(f10245,plain,
( spl21_707
<=> sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_707])]) ).
tff(f5549,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_212 ),
inference(resolution,[],[f583,f2135]) ).
tff(f10243,plain,
( ~ spl21_706
| spl21_186
| ~ spl21_690 ),
inference(avatar_split_clause,[],[f10096,f9570,f1756,f10240]) ).
tff(f1756,plain,
( spl21_186
<=> sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_186])]) ).
tff(f10096,plain,
( ~ sP0(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)
| spl21_186
| ~ spl21_690 ),
inference(superposition,[],[f1757,f9572]) ).
tff(f1757,plain,
( ~ sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET)
| spl21_186 ),
inference(avatar_component_clause,[],[f1756]) ).
tff(f10238,plain,
( spl21_705
| spl21_15
| ~ spl21_223 ),
inference(avatar_split_clause,[],[f5548,f2178,f581,f10235]) ).
tff(f10235,plain,
( spl21_705
<=> sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_705])]) ).
tff(f5548,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK17),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_223 ),
inference(resolution,[],[f583,f2179]) ).
tff(f10222,plain,
( spl21_704
| ~ spl21_300
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2964,f2947,f2943,f10220]) ).
tff(f10220,plain,
( spl21_704
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(arr(X0,bool)) = X1 )
| ~ mem(X1,arr(arr(arr(X0,bool),bool),bool))
| ( sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool))) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_704])]) ).
tff(f2943,plain,
( spl21_300
<=> ! [X0: del,X1] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),X1),c_2Ebool_2E_21(X0)) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_300])]) ).
tff(f2947,plain,
( spl21_301
<=> ! [X0: del,X1] :
( mem(sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
| ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_301])]) ).
tff(f2964,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(arr(X0,bool)) = X1 )
| ~ mem(X1,arr(arr(arr(X0,bool),bool),bool))
| ( sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool))) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) ) )
| ~ spl21_300
| ~ spl21_301 ),
inference(resolution,[],[f2948,f2944]) ).
tff(f2944,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(arr(X0,bool),bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),X1),c_2Ebool_2E_21(X0)) = X1 ) )
| ~ spl21_300 ),
inference(avatar_component_clause,[],[f2943]) ).
tff(f2948,plain,
( ! [X0: del,X1: $i] :
( mem(sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
| ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl21_301 ),
inference(avatar_component_clause,[],[f2947]) ).
tff(f10216,plain,
( spl21_703
| ~ spl21_278
| ~ spl21_300 ),
inference(avatar_split_clause,[],[f2958,f2943,f2762,f10214]) ).
tff(f10214,plain,
( spl21_703
<=> ! [X0: del] :
( ( sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool))) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| p(ap(c_2Ebool_2E_21(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(arr(X0,bool)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_703])]) ).
tff(f2762,plain,
( spl21_278
<=> ! [X0: del] :
( mem(sK19(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_278])]) ).
tff(f2958,plain,
( ! [X0: del] :
( ( sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool))) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| p(ap(c_2Ebool_2E_21(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(arr(X0,bool)))) )
| ~ spl21_278
| ~ spl21_300 ),
inference(resolution,[],[f2944,f2763]) ).
tff(f2763,plain,
( ! [X0: del] :
( mem(sK19(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0))) )
| ~ spl21_278 ),
inference(avatar_component_clause,[],[f2762]) ).
tff(f10201,plain,
( spl21_702
| ~ spl21_301
| ~ spl21_303 ),
inference(avatar_split_clause,[],[f2986,f2974,f2947,f10199]) ).
tff(f10199,plain,
( spl21_702
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| ( c_2Ebool_2E_21(arr(X0,bool)) = X1 )
| ~ mem(X1,arr(arr(arr(X0,bool),bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_702])]) ).
tff(f2974,plain,
( spl21_303
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),X1),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(arr(X0,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_303])]) ).
tff(f2986,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),sK20(arr(arr(X0,bool),bool),X1,c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| ( c_2Ebool_2E_21(arr(X0,bool)) = X1 )
| ~ mem(X1,arr(arr(arr(X0,bool),bool),bool)) )
| ~ spl21_301
| ~ spl21_303 ),
inference(resolution,[],[f2975,f2948]) ).
tff(f2975,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(arr(X0,bool),bool))
| ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),X1),c_2Ebool_2E_21(X0)) ) )
| ~ spl21_303 ),
inference(avatar_component_clause,[],[f2974]) ).
tff(f10186,plain,
( spl21_701
| ~ spl21_152
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2966,f2947,f1412,f10184]) ).
tff(f10184,plain,
( spl21_701
<=> ! [X2,X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2EF),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) )
| ~ mem(X2,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_701])]) ).
tff(f1412,plain,
( spl21_152
<=> ! [X2,X0: del,X1] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_152])]) ).
tff(f2966,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2EF),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) )
| ~ mem(X2,arr(X0,bool)) )
| ~ spl21_152
| ~ spl21_301 ),
inference(resolution,[],[f2948,f1413]) ).
tff(f1413,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,X0)
| ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 )
| ~ mem(X1,X0) )
| ~ spl21_152 ),
inference(avatar_component_clause,[],[f1412]) ).
tff(f9960,plain,
( spl21_700
| ~ spl21_278
| ~ spl21_303 ),
inference(avatar_split_clause,[],[f2985,f2974,f2762,f9958]) ).
tff(f9958,plain,
( spl21_700
<=> ! [X0: del] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| p(ap(c_2Ebool_2E_21(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(arr(X0,bool)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_700])]) ).
tff(f2985,plain,
( ! [X0: del] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),sK19(arr(arr(X0,bool),bool),c_2Ebool_2E_21(arr(X0,bool)))),c_2Ebool_2E_21(X0)) )
| p(ap(c_2Ebool_2E_21(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(arr(X0,bool)))) )
| ~ spl21_278
| ~ spl21_303 ),
inference(resolution,[],[f2975,f2763]) ).
tff(f9956,plain,
( spl21_699
| ~ spl21_157
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2960,f2947,f1486,f9954]) ).
tff(f9954,plain,
( spl21_699
<=> ! [X2,X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| mem(sK20(X0,X2,sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0)
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = X2 )
| ~ mem(X2,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_699])]) ).
tff(f1486,plain,
( spl21_157
<=> ! [X0: del,X3,X2,X1: del] :
( ( X2 = X3 )
| mem(sK20(X0,X2,X3),X0)
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_157])]) ).
tff(f2960,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| mem(sK20(X0,X2,sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0)
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = X2 )
| ~ mem(X2,arr(X0,bool)) )
| ~ spl21_157
| ~ spl21_301 ),
inference(resolution,[],[f2948,f1487]) ).
tff(f1487,plain,
( ! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X3,arr(X0,X1))
| mem(sK20(X0,X2,X3),X0)
| ( X2 = X3 )
| ~ mem(X2,arr(X0,X1)) )
| ~ spl21_157 ),
inference(avatar_component_clause,[],[f1486]) ).
tff(f9925,plain,
( spl21_698
| ~ spl21_277
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2962,f2947,f2745,f9923]) ).
tff(f9923,plain,
( spl21_698
<=> ! [X0] :
( ( c_2Ebool_2E_21(bool) = X0 )
| ~ mem(X0,arr(arr(bool,bool),bool))
| ( sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool)) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_698])]) ).
tff(f2745,plain,
( spl21_277
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X0),c_2Ebool_2E_7E) = X0 )
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_277])]) ).
tff(f2962,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_21(bool) = X0 )
| ~ mem(X0,arr(arr(bool,bool),bool))
| ( sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool)) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) )
| ~ spl21_277
| ~ spl21_301 ),
inference(resolution,[],[f2948,f2746]) ).
tff(f2746,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X0),c_2Ebool_2E_7E) = X0 ) )
| ~ spl21_277 ),
inference(avatar_component_clause,[],[f2745]) ).
tff(f9921,plain,
( spl21_697
| ~ spl21_152
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2783,f2762,f1412,f9919]) ).
tff(f9919,plain,
( spl21_697
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2EF),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_697])]) ).
tff(f2783,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2EF),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_152
| ~ spl21_278 ),
inference(resolution,[],[f2763,f1413]) ).
tff(f9907,plain,
( spl21_696
| ~ spl21_153
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2965,f2947,f1416,f9905]) ).
tff(f9905,plain,
( spl21_696
<=> ! [X2,X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2ET),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = X2 )
| ~ mem(X2,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_696])]) ).
tff(f1416,plain,
( spl21_153
<=> ! [X2,X0: del,X1] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_153])]) ).
tff(f2965,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2ET),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = X2 )
| ~ mem(X2,arr(X0,bool)) )
| ~ spl21_153
| ~ spl21_301 ),
inference(resolution,[],[f2948,f1417]) ).
tff(f1417,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,X0)
| ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 )
| ~ mem(X1,X0) )
| ~ spl21_153 ),
inference(avatar_component_clause,[],[f1416]) ).
tff(f9772,plain,
( spl21_695
| ~ spl21_145
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2959,f2947,f1372,f9770]) ).
tff(f9770,plain,
( spl21_695
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| mem(sK19(X0,sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_695])]) ).
tff(f1372,plain,
( spl21_145
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| mem(sK19(X0,X1),X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_145])]) ).
tff(f2959,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| mem(sK19(X0,sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)))) )
| ~ spl21_145
| ~ spl21_301 ),
inference(resolution,[],[f2948,f1373]) ).
tff(f1373,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| mem(sK19(X0,X1),X0)
| p(ap(c_2Ebool_2E_21(X0),X1)) )
| ~ spl21_145 ),
inference(avatar_component_clause,[],[f1372]) ).
tff(f9640,plain,
( spl21_694
| ~ spl21_157
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2778,f2762,f1486,f9638]) ).
tff(f9638,plain,
( spl21_694
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| mem(sK20(X0,X1,sK19(arr(X0,bool),c_2Ebool_2E_21(X0))),X0)
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = X1 )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_694])]) ).
tff(f2778,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| mem(sK20(X0,X1,sK19(arr(X0,bool),c_2Ebool_2E_21(X0))),X0)
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = X1 )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_157
| ~ spl21_278 ),
inference(resolution,[],[f2763,f1487]) ).
tff(f9628,plain,
( spl21_693
| ~ spl21_68
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2968,f2947,f825,f9626]) ).
tff(f9626,plain,
( spl21_693
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = ap(i(arr(X0,bool)),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_693])]) ).
tff(f825,plain,
( spl21_68
<=> ! [X0: del,X1] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_68])]) ).
tff(f2968,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = ap(i(arr(X0,bool)),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) ) )
| ~ spl21_68
| ~ spl21_301 ),
inference(resolution,[],[f2948,f826]) ).
tff(f826,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,X0)
| ( ap(i(X0),X1) = X1 ) )
| ~ spl21_68 ),
inference(avatar_component_clause,[],[f825]) ).
tff(f9581,plain,
( spl21_692
| ~ spl21_227
| ~ spl21_300 ),
inference(avatar_split_clause,[],[f2957,f2943,f2194,f9579]) ).
tff(f9579,plain,
( spl21_692
<=> ! [X0: del,X1] :
( ( ap(c_2Emin_2E_3D(arr(X0,bool)),X1) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D(arr(X0,bool)),X1)),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_692])]) ).
tff(f2194,plain,
( spl21_227
<=> ! [X0,X1: del] :
( ~ mem(X0,X1)
| mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_227])]) ).
tff(f2957,plain,
( ! [X0: del,X1: $i] :
( ( ap(c_2Emin_2E_3D(arr(X0,bool)),X1) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D(arr(X0,bool)),X1)),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_227
| ~ spl21_300 ),
inference(resolution,[],[f2944,f2195]) ).
tff(f2195,plain,
( ! [X0: $i,X1: del] :
( mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool))
| ~ mem(X0,X1) )
| ~ spl21_227 ),
inference(avatar_component_clause,[],[f2194]) ).
tff(f9577,plain,
( spl21_691
| ~ spl21_153
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2782,f2762,f1416,f9575]) ).
tff(f9575,plain,
( spl21_691
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2ET),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) = X1 )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_691])]) ).
tff(f2782,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,bool)),c_2Ebool_2ET),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) = X1 )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_153
| ~ spl21_278 ),
inference(resolution,[],[f2763,f1417]) ).
tff(f9573,plain,
( spl21_690
| ~ spl21_10
| ~ spl21_19
| ~ spl21_645 ),
inference(avatar_split_clause,[],[f8997,f8295,f611,f554,f9570]) ).
tff(f611,plain,
( spl21_19
<=> ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
tff(f8295,plain,
( spl21_645
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_645])]) ).
tff(f8997,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_10
| ~ spl21_19
| ~ spl21_645 ),
inference(forward_demodulation,[],[f8444,f613]) ).
tff(f613,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f611]) ).
tff(f8444,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_10
| ~ spl21_645 ),
inference(superposition,[],[f555,f8297]) ).
tff(f8297,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| ~ spl21_645 ),
inference(avatar_component_clause,[],[f8295]) ).
tff(f9566,plain,
( spl21_689
| spl21_677
| ~ spl21_277
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2780,f2762,f2745,f9137,f9563]) ).
tff(f9563,plain,
( spl21_689
<=> ( sK19(arr(bool,bool),c_2Ebool_2E_21(bool)) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),sK19(arr(bool,bool),c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_689])]) ).
tff(f9137,plain,
( spl21_677
<=> p(ap(c_2Ebool_2E_21(arr(bool,bool)),c_2Ebool_2E_21(bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_677])]) ).
tff(f2780,plain,
( p(ap(c_2Ebool_2E_21(arr(bool,bool)),c_2Ebool_2E_21(bool)))
| ( sK19(arr(bool,bool),c_2Ebool_2E_21(bool)) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),sK19(arr(bool,bool),c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) )
| ~ spl21_277
| ~ spl21_278 ),
inference(resolution,[],[f2763,f2746]) ).
tff(f9561,plain,
( spl21_688
| ~ spl21_152
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2487,f2397,f1412,f9559]) ).
tff(f9559,plain,
( spl21_688
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2ECOND(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2EF),X2),ap(c_2Ebool_2ECOND(X1),X0)) )
| ~ mem(X2,arr(X1,arr(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_688])]) ).
tff(f2397,plain,
( spl21_240
<=> ! [X0,X1: del] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2ECOND(X1),X0),arr(X1,arr(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_240])]) ).
tff(f2487,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2ECOND(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2EF),X2),ap(c_2Ebool_2ECOND(X1),X0)) )
| ~ mem(X2,arr(X1,arr(X1,X1))) )
| ~ spl21_152
| ~ spl21_240 ),
inference(resolution,[],[f2398,f1413]) ).
tff(f2398,plain,
( ! [X0: $i,X1: del] :
( mem(ap(c_2Ebool_2ECOND(X1),X0),arr(X1,arr(X1,X1)))
| ~ mem(X0,bool) )
| ~ spl21_240 ),
inference(avatar_component_clause,[],[f2397]) ).
tff(f9549,plain,
( spl21_687
| ~ spl21_276
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2963,f2947,f2741,f9547]) ).
tff(f9547,plain,
( spl21_687
<=> ! [X0] :
( ( c_2Ebool_2E_21(bool) = X0 )
| ~ mem(X0,arr(arr(bool,bool),bool))
| ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_687])]) ).
tff(f2741,plain,
( spl21_276
<=> ! [X0] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X0),c_2Ebool_2E_7E) )
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_276])]) ).
tff(f2963,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_21(bool) = X0 )
| ~ mem(X0,arr(arr(bool,bool),bool))
| ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),sK20(arr(bool,bool),X0,c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) )
| ~ spl21_276
| ~ spl21_301 ),
inference(resolution,[],[f2948,f2742]) ).
tff(f2742,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,bool))
| ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X0),c_2Ebool_2E_7E) ) )
| ~ spl21_276 ),
inference(avatar_component_clause,[],[f2741]) ).
tff(f9418,plain,
( spl21_686
| ~ spl21_145
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2777,f2762,f1372,f9416]) ).
tff(f9416,plain,
( spl21_686
<=> ! [X0: del] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| mem(sK19(X0,sK19(arr(X0,bool),c_2Ebool_2E_21(X0))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK19(arr(X0,bool),c_2Ebool_2E_21(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_686])]) ).
tff(f2777,plain,
( ! [X0: del] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| mem(sK19(X0,sK19(arr(X0,bool),c_2Ebool_2E_21(X0))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK19(arr(X0,bool),c_2Ebool_2E_21(X0)))) )
| ~ spl21_145
| ~ spl21_278 ),
inference(resolution,[],[f2763,f1373]) ).
tff(f9388,plain,
( spl21_685
| ~ spl21_11
| ~ spl21_156
| ~ spl21_452
| ~ spl21_645 ),
inference(avatar_split_clause,[],[f8502,f8295,f4743,f1479,f558,f9385]) ).
tff(f9385,plain,
( spl21_685
<=> ( sK16 = fo__c_2Eextreal_2Eextreal__max(sK18,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_685])]) ).
tff(f4743,plain,
( spl21_452
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_452])]) ).
tff(f8502,plain,
( ( sK16 = fo__c_2Eextreal_2Eextreal__max(sK18,sK16) )
| ~ spl21_11
| ~ spl21_156
| ~ spl21_452
| ~ spl21_645 ),
inference(forward_demodulation,[],[f8501,f559]) ).
tff(f8501,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK18,sK16) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK16)) )
| ~ spl21_156
| ~ spl21_452
| ~ spl21_645 ),
inference(forward_demodulation,[],[f8417,f4744]) ).
tff(f4744,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ spl21_452 ),
inference(avatar_component_clause,[],[f4743]) ).
tff(f8417,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK18,sK16) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK16)),inj__ty_2Eextreal_2Eextreal(sK18))) )
| ~ spl21_156
| ~ spl21_645 ),
inference(superposition,[],[f1480,f8297]) ).
tff(f9383,plain,
( spl21_684
| ~ spl21_152
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2602,f2580,f1412,f9381]) ).
tff(f9381,plain,
( spl21_684
<=> ! [X0,X1] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X1),sK20(bool,X0,c_2Ebool_2E_7E)) )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_684])]) ).
tff(f2580,plain,
( spl21_259
<=> ! [X0] :
( mem(sK20(bool,X0,c_2Ebool_2E_7E),bool)
| ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_259])]) ).
tff(f2602,plain,
( ! [X0: $i,X1: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X1),sK20(bool,X0,c_2Ebool_2E_7E)) )
| ~ mem(X1,bool) )
| ~ spl21_152
| ~ spl21_259 ),
inference(resolution,[],[f2581,f1413]) ).
tff(f2581,plain,
( ! [X0: $i] :
( mem(sK20(bool,X0,c_2Ebool_2E_7E),bool)
| ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool)) )
| ~ spl21_259 ),
inference(avatar_component_clause,[],[f2580]) ).
tff(f9379,plain,
( spl21_683
| ~ spl21_153
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2486,f2397,f1416,f9377]) ).
tff(f9377,plain,
( spl21_683
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2ET),X2),ap(c_2Ebool_2ECOND(X1),X0)) = X2 )
| ~ mem(X2,arr(X1,arr(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_683])]) ).
tff(f2486,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2ET),X2),ap(c_2Ebool_2ECOND(X1),X0)) = X2 )
| ~ mem(X2,arr(X1,arr(X1,X1))) )
| ~ spl21_153
| ~ spl21_240 ),
inference(resolution,[],[f2398,f1417]) ).
tff(f9334,plain,
( spl21_682
| ~ spl21_227
| ~ spl21_303 ),
inference(avatar_split_clause,[],[f2984,f2974,f2194,f9332]) ).
tff(f9332,plain,
( spl21_682
<=> ! [X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D(arr(X0,bool)),X1)),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_682])]) ).
tff(f2984,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D(arr(X0,bool)),X1)),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_227
| ~ spl21_303 ),
inference(resolution,[],[f2975,f2195]) ).
tff(f9330,plain,
( spl21_681
| ~ spl21_76
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2967,f2947,f891,f9328]) ).
tff(f9328,plain,
( spl21_681
<=> ! [X2,X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( ap(k(arr(X0,bool),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_681])]) ).
tff(f891,plain,
( spl21_76
<=> ! [X2,X0: del,X1] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_76])]) ).
tff(f2967,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ( ap(k(arr(X0,bool),X2),sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = X2 ) )
| ~ spl21_76
| ~ spl21_301 ),
inference(resolution,[],[f2948,f892]) ).
tff(f892,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,X0)
| ( ap(k(X0,X1),X2) = X1 ) )
| ~ spl21_76 ),
inference(avatar_component_clause,[],[f891]) ).
tff(f9326,plain,
( spl21_680
| ~ spl21_68
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2785,f2762,f825,f9324]) ).
tff(f9324,plain,
( spl21_680
<=> ! [X0: del] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = ap(i(arr(X0,bool)),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_680])]) ).
tff(f2785,plain,
( ! [X0: del] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( sK19(arr(X0,bool),c_2Ebool_2E_21(X0)) = ap(i(arr(X0,bool)),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) ) )
| ~ spl21_68
| ~ spl21_278 ),
inference(resolution,[],[f2763,f826]) ).
tff(f9322,plain,
( spl21_679
| ~ spl21_152
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2319,f2194,f1412,f9320]) ).
tff(f9320,plain,
( spl21_679
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X1,bool)),c_2Ebool_2EF),X2),ap(c_2Emin_2E_3D(X1),X0)) )
| ~ mem(X2,arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_679])]) ).
tff(f2319,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X1,bool)),c_2Ebool_2EF),X2),ap(c_2Emin_2E_3D(X1),X0)) )
| ~ mem(X2,arr(X1,bool)) )
| ~ spl21_152
| ~ spl21_227 ),
inference(resolution,[],[f2195,f1413]) ).
tff(f9145,plain,
( spl21_678
| ~ spl21_112
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2961,f2947,f1115,f9143]) ).
tff(f9143,plain,
( spl21_678
<=> ! [X2,X0: del,X1] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ~ mem(X2,X0)
| mem(ap(sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),X2),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_678])]) ).
tff(f1115,plain,
( spl21_112
<=> ! [X0: del,X3,X2,X1: del] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).
tff(f2961,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool))
| ~ mem(X2,X0)
| mem(ap(sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),X2),bool) )
| ~ spl21_112
| ~ spl21_301 ),
inference(resolution,[],[f2948,f1116]) ).
tff(f1116,plain,
( ! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) )
| ~ spl21_112 ),
inference(avatar_component_clause,[],[f1115]) ).
tff(f9140,plain,
( spl21_676
| spl21_677
| ~ spl21_276
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2781,f2762,f2741,f9137,f9133]) ).
tff(f9133,plain,
( spl21_676
<=> ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),sK19(arr(bool,bool),c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_676])]) ).
tff(f2781,plain,
( p(ap(c_2Ebool_2E_21(arr(bool,bool)),c_2Ebool_2E_21(bool)))
| ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),sK19(arr(bool,bool),c_2Ebool_2E_21(bool))),c_2Ebool_2E_7E) )
| ~ spl21_276
| ~ spl21_278 ),
inference(resolution,[],[f2763,f2742]) ).
tff(f9131,plain,
( spl21_675
| ~ spl21_257
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2600,f2580,f2572,f9129]) ).
tff(f9129,plain,
( spl21_675
<=> ! [X0,X1: tp__o] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),inj__o(X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_675])]) ).
tff(f2572,plain,
( spl21_257
<=> ! [X0,X1: tp__o] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),inj__o(X1)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_257])]) ).
tff(f2600,plain,
( ! [X0: $i,X1: tp__o] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),inj__o(X1)) ) )
| ~ spl21_257
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2573]) ).
tff(f2573,plain,
( ! [X0: $i,X1: tp__o] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),inj__o(X1)) = X0 ) )
| ~ spl21_257 ),
inference(avatar_component_clause,[],[f2572]) ).
tff(f9127,plain,
( spl21_674
| ~ spl21_157
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2484,f2397,f1486,f9125]) ).
tff(f9125,plain,
( spl21_674
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,bool)
| mem(sK20(X1,X2,ap(c_2Ebool_2ECOND(X1),X0)),X1)
| ( ap(c_2Ebool_2ECOND(X1),X0) = X2 )
| ~ mem(X2,arr(X1,arr(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_674])]) ).
tff(f2484,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,bool)
| mem(sK20(X1,X2,ap(c_2Ebool_2ECOND(X1),X0)),X1)
| ( ap(c_2Ebool_2ECOND(X1),X0) = X2 )
| ~ mem(X2,arr(X1,arr(X1,X1))) )
| ~ spl21_157
| ~ spl21_240 ),
inference(resolution,[],[f2398,f1487]) ).
tff(f9005,plain,
( spl21_673
| ~ spl21_240
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2951,f2939,f2397,f9003]) ).
tff(f9003,plain,
( spl21_673
<=> ! [X0] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D(bool)) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_673])]) ).
tff(f2939,plain,
( spl21_299
<=> ! [X0: del,X1] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2ET),X1),c_2Emin_2E_3D(X0)) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_299])]) ).
tff(f2951,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D(bool)) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_299 ),
inference(resolution,[],[f2940,f2398]) ).
tff(f2940,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,arr(X0,bool)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2ET),X1),c_2Emin_2E_3D(X0)) = X1 ) )
| ~ spl21_299 ),
inference(avatar_component_clause,[],[f2939]) ).
tff(f9001,plain,
( spl21_672
| ~ spl21_153
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2601,f2580,f1416,f8999]) ).
tff(f8999,plain,
( spl21_672
<=> ! [X0,X1] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X1),sK20(bool,X0,c_2Ebool_2E_7E)) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_672])]) ).
tff(f2601,plain,
( ! [X0: $i,X1: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X1),sK20(bool,X0,c_2Ebool_2E_7E)) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_153
| ~ spl21_259 ),
inference(resolution,[],[f2581,f1417]) ).
tff(f8962,plain,
( spl21_1
| ~ spl21_14
| spl21_229
| ~ spl21_324
| ~ spl21_657 ),
inference(avatar_split_clause,[],[f8895,f8642,f3170,f2283,f576,f509]) ).
tff(f8642,plain,
( spl21_657
<=> ( sK16 = sK18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_657])]) ).
tff(f8895,plain,
( p(c_2Ebool_2EF)
| ~ spl21_14
| spl21_229
| ~ spl21_324
| ~ spl21_657 ),
inference(forward_demodulation,[],[f8854,f5816]) ).
tff(f8854,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| ~ spl21_14
| ~ spl21_657 ),
inference(superposition,[],[f578,f8644]) ).
tff(f8644,plain,
( ( sK16 = sK18 )
| ~ spl21_657 ),
inference(avatar_component_clause,[],[f8642]) ).
tff(f8961,plain,
( spl21_671
| ~ spl21_252
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2599,f2580,f2445,f8959]) ).
tff(f8959,plain,
( spl21_671
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2EF) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_671])]) ).
tff(f2445,plain,
( spl21_252
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2EF) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_252])]) ).
tff(f2599,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2EF) ) )
| ~ spl21_252
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2446]) ).
tff(f2446,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2EF) = X0 ) )
| ~ spl21_252 ),
inference(avatar_component_clause,[],[f2445]) ).
tff(f8957,plain,
( spl21_670
| ~ spl21_251
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2598,f2580,f2441,f8955]) ).
tff(f8955,plain,
( spl21_670
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2ET) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_670])]) ).
tff(f2441,plain,
( spl21_251
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2ET) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_251])]) ).
tff(f2598,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2ET) ) )
| ~ spl21_251
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2442]) ).
tff(f2442,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2ET) = X0 ) )
| ~ spl21_251 ),
inference(avatar_component_clause,[],[f2441]) ).
tff(f8953,plain,
( spl21_669
| ~ spl21_110
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2591,f2580,f1107,f8951]) ).
tff(f8951,plain,
( spl21_669
<=> ! [X0,X1] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| p(X1)
| ( sK20(bool,X0,c_2Ebool_2E_7E) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_669])]) ).
tff(f1107,plain,
( spl21_110
<=> ! [X0,X1] :
( ( X0 = X1 )
| p(X1)
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).
tff(f2591,plain,
( ! [X0: $i,X1: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| p(X1)
| ( sK20(bool,X0,c_2Ebool_2E_7E) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_110
| ~ spl21_259 ),
inference(resolution,[],[f2581,f1108]) ).
tff(f1108,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X1,bool)
| p(X1)
| p(X0)
| ( X0 = X1 )
| ~ mem(X0,bool) )
| ~ spl21_110 ),
inference(avatar_component_clause,[],[f1107]) ).
tff(f8949,plain,
( spl21_668
| ~ spl21_152
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2328,f2198,f1412,f8947]) ).
tff(f8947,plain,
( spl21_668
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X2),ap(c_2Ebool_2E_21(X1),X0)) )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_668])]) ).
tff(f2198,plain,
( spl21_228
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_21(X1),X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_228])]) ).
tff(f2328,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X2),ap(c_2Ebool_2E_21(X1),X0)) )
| ~ mem(X2,bool) )
| ~ spl21_152
| ~ spl21_228 ),
inference(resolution,[],[f2199,f1413]) ).
tff(f2199,plain,
( ! [X0: $i,X1: del] :
( mem(ap(c_2Ebool_2E_21(X1),X0),bool)
| ~ mem(X0,arr(X1,bool)) )
| ~ spl21_228 ),
inference(avatar_component_clause,[],[f2198]) ).
tff(f8945,plain,
( spl21_667
| ~ spl21_152
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2106,f2024,f1412,f8943]) ).
tff(f8943,plain,
( spl21_667
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2EF),X1),ap(c_2Eextreal_2Eextreal__le,X0)) )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_667])]) ).
tff(f2024,plain,
( spl21_201
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(ap(c_2Eextreal_2Eextreal__le,X0),arr(ty_2Eextreal_2Eextreal,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_201])]) ).
tff(f2106,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2EF),X1),ap(c_2Eextreal_2Eextreal__le,X0)) )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) )
| ~ spl21_152
| ~ spl21_201 ),
inference(resolution,[],[f2025,f1413]) ).
tff(f2025,plain,
( ! [X0: $i] :
( mem(ap(c_2Eextreal_2Eextreal__le,X0),arr(ty_2Eextreal_2Eextreal,bool))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl21_201 ),
inference(avatar_component_clause,[],[f2024]) ).
tff(f8941,plain,
( spl21_666
| ~ spl21_152
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2099,f2020,f1412,f8939]) ).
tff(f8939,plain,
( spl21_666
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2EF),X1),ap(c_2Eextreal_2Eextreal__max,X0)) )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_666])]) ).
tff(f2020,plain,
( spl21_200
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(ap(c_2Eextreal_2Eextreal__max,X0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_200])]) ).
tff(f2099,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2EF),X1),ap(c_2Eextreal_2Eextreal__max,X0)) )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) )
| ~ spl21_152
| ~ spl21_200 ),
inference(resolution,[],[f2021,f1413]) ).
tff(f2021,plain,
( ! [X0: $i] :
( mem(ap(c_2Eextreal_2Eextreal__max,X0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl21_200 ),
inference(avatar_component_clause,[],[f2020]) ).
tff(f8936,plain,
( spl21_665
| ~ spl21_152
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2093,f2016,f1412,f8934]) ).
tff(f8934,plain,
( spl21_665
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_2F_5C,X0)) )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_665])]) ).
tff(f2016,plain,
( spl21_199
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_199])]) ).
tff(f2093,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_2F_5C,X0)) )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_152
| ~ spl21_199 ),
inference(resolution,[],[f2017,f1413]) ).
tff(f2017,plain,
( ! [X0: $i] :
( mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool))
| ~ mem(X0,bool) )
| ~ spl21_199 ),
inference(avatar_component_clause,[],[f2016]) ).
tff(f8931,plain,
( spl21_664
| ~ spl21_152
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2086,f2012,f1412,f8929]) ).
tff(f8929,plain,
( spl21_664
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_5C_2F,X0)) )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_664])]) ).
tff(f2012,plain,
( spl21_198
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_5C_2F,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_198])]) ).
tff(f2086,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_5C_2F,X0)) )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_152
| ~ spl21_198 ),
inference(resolution,[],[f2013,f1413]) ).
tff(f2013,plain,
( ! [X0: $i] :
( mem(ap(c_2Ebool_2E_5C_2F,X0),arr(bool,bool))
| ~ mem(X0,bool) )
| ~ spl21_198 ),
inference(avatar_component_clause,[],[f2012]) ).
tff(f8927,plain,
( spl21_663
| ~ spl21_152
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2075,f2008,f1412,f8925]) ).
tff(f8925,plain,
( spl21_663
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_663])]) ).
tff(f2008,plain,
( spl21_197
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_197])]) ).
tff(f2075,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_152
| ~ spl21_197 ),
inference(resolution,[],[f2009,f1413]) ).
tff(f2009,plain,
( ! [X0: $i] :
( mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool))
| ~ mem(X0,bool) )
| ~ spl21_197 ),
inference(avatar_component_clause,[],[f2008]) ).
tff(f8667,plain,
( spl21_662
| ~ spl21_240
| ~ spl21_296 ),
inference(avatar_split_clause,[],[f2933,f2887,f2397,f8665]) ).
tff(f8665,plain,
( spl21_662
<=> ! [X0] :
( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_662])]) ).
tff(f2887,plain,
( spl21_296
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__max) = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_296])]) ).
tff(f2933,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_296 ),
inference(resolution,[],[f2888,f2398]) ).
tff(f2888,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__max) = X0 ) )
| ~ spl21_296 ),
inference(avatar_component_clause,[],[f2887]) ).
tff(f8662,plain,
( spl21_661
| ~ spl21_240
| ~ spl21_295 ),
inference(avatar_split_clause,[],[f2931,f2883,f2397,f8660]) ).
tff(f8660,plain,
( spl21_661
<=> ! [X0] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_661])]) ).
tff(f2883,plain,
( spl21_295
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_2F_5C) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_295])]) ).
tff(f2931,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_295 ),
inference(resolution,[],[f2884,f2398]) ).
tff(f2884,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_2F_5C) = X0 ) )
| ~ spl21_295 ),
inference(avatar_component_clause,[],[f2883]) ).
tff(f8657,plain,
( spl21_660
| ~ spl21_240
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f2926,f2879,f2397,f8655]) ).
tff(f8655,plain,
( spl21_660
<=> ! [X0] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_660])]) ).
tff(f2879,plain,
( spl21_294
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_5C_2F) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_294])]) ).
tff(f2926,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_294 ),
inference(resolution,[],[f2880,f2398]) ).
tff(f2880,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_5C_2F) = X0 ) )
| ~ spl21_294 ),
inference(avatar_component_clause,[],[f2879]) ).
tff(f8653,plain,
( spl21_659
| ~ spl21_240
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f2921,f2875,f2397,f8651]) ).
tff(f8651,plain,
( spl21_659
<=> ! [X0] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_659])]) ).
tff(f2875,plain,
( spl21_293
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Emin_2E_3D_3D_3E) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_293])]) ).
tff(f2921,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2ECOND(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_293 ),
inference(resolution,[],[f2876,f2398]) ).
tff(f2876,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Emin_2E_3D_3D_3E) = X0 ) )
| ~ spl21_293 ),
inference(avatar_component_clause,[],[f2875]) ).
tff(f8649,plain,
( spl21_658
| ~ spl21_259
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2645,f2610,f2580,f8647]) ).
tff(f8647,plain,
( spl21_658
<=> ! [X0: tp__o,X1] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X1,c_2Ebool_2E_7E)),inj__o(X0)) )
| ( c_2Ebool_2E_7E = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_658])]) ).
tff(f2610,plain,
( spl21_261
<=> ! [X0,X1: tp__o] :
( ( inj__o(X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),inj__o(X1)) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_261])]) ).
tff(f2645,plain,
( ! [X0: tp__o,X1: $i] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X1,c_2Ebool_2E_7E)),inj__o(X0)) )
| ( c_2Ebool_2E_7E = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_259
| ~ spl21_261 ),
inference(resolution,[],[f2611,f2581]) ).
tff(f2611,plain,
( ! [X0: $i,X1: tp__o] :
( ~ mem(X0,bool)
| ( inj__o(X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),inj__o(X1)) ) )
| ~ spl21_261 ),
inference(avatar_component_clause,[],[f2610]) ).
tff(f8645,plain,
( spl21_657
| ~ spl21_11
| ~ spl21_156
| ~ spl21_384
| ~ spl21_452
| ~ spl21_645 ),
inference(avatar_split_clause,[],[f8503,f8295,f4743,f4014,f1479,f558,f8642]) ).
tff(f4014,plain,
( spl21_384
<=> ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK18,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_384])]) ).
tff(f8503,plain,
( ( sK16 = sK18 )
| ~ spl21_11
| ~ spl21_156
| ~ spl21_384
| ~ spl21_452
| ~ spl21_645 ),
inference(forward_demodulation,[],[f8502,f4016]) ).
tff(f4016,plain,
( ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK18,sK16) )
| ~ spl21_384 ),
inference(avatar_component_clause,[],[f4014]) ).
tff(f8640,plain,
( spl21_656
| ~ spl21_234
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2595,f2580,f2352,f8638]) ).
tff(f8638,plain,
( spl21_656
<=> ! [X0,X1: tp__o] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( inj__o(X1) = sK20(bool,X0,c_2Ebool_2E_7E) )
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_656])]) ).
tff(f2352,plain,
( spl21_234
<=> ! [X0: tp__o,X1] :
( p(inj__o(X0))
| p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_234])]) ).
tff(f2595,plain,
( ! [X0: $i,X1: tp__o] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( inj__o(X1) = sK20(bool,X0,c_2Ebool_2E_7E) )
| p(inj__o(X1)) )
| ~ spl21_234
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2353]) ).
tff(f2353,plain,
( ! [X0: tp__o,X1: $i] :
( ~ mem(X1,bool)
| p(X1)
| ( inj__o(X0) = X1 )
| p(inj__o(X0)) )
| ~ spl21_234 ),
inference(avatar_component_clause,[],[f2352]) ).
tff(f8636,plain,
( spl21_655
| ~ spl21_153
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2318,f2194,f1416,f8634]) ).
tff(f8634,plain,
( spl21_655
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,X1)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,bool)),c_2Ebool_2ET),X2),ap(c_2Emin_2E_3D(X1),X0)) = X2 )
| ~ mem(X2,arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_655])]) ).
tff(f2318,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,X1)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,bool)),c_2Ebool_2ET),X2),ap(c_2Emin_2E_3D(X1),X0)) = X2 )
| ~ mem(X2,arr(X1,bool)) )
| ~ spl21_153
| ~ spl21_227 ),
inference(resolution,[],[f2195,f1417]) ).
tff(f8632,plain,
( spl21_654
| ~ spl21_157
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2316,f2194,f1486,f8630]) ).
tff(f8630,plain,
( spl21_654
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,X1)
| mem(sK20(X1,X2,ap(c_2Emin_2E_3D(X1),X0)),X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = X2 )
| ~ mem(X2,arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_654])]) ).
tff(f2316,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,X1)
| mem(sK20(X1,X2,ap(c_2Emin_2E_3D(X1),X0)),X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = X2 )
| ~ mem(X2,arr(X1,bool)) )
| ~ spl21_157
| ~ spl21_227 ),
inference(resolution,[],[f2195,f1487]) ).
tff(f8571,plain,
( spl21_653
| ~ spl21_240
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2977,f2970,f2397,f8569]) ).
tff(f8569,plain,
( spl21_653
<=> ! [X0] :
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D(bool)) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_653])]) ).
tff(f2970,plain,
( spl21_302
<=> ! [X0: del,X1] :
( ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2EF),X1),c_2Emin_2E_3D(X0)) )
| ~ mem(X1,arr(X0,arr(X0,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_302])]) ).
tff(f2977,plain,
( ! [X0: $i] :
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D(bool)) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_302 ),
inference(resolution,[],[f2971,f2398]) ).
tff(f2971,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,arr(X0,bool)))
| ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2EF),X1),c_2Emin_2E_3D(X0)) ) )
| ~ spl21_302 ),
inference(avatar_component_clause,[],[f2970]) ).
tff(f8399,plain,
( spl21_652
| ~ spl21_76
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2784,f2762,f891,f8397]) ).
tff(f8397,plain,
( spl21_652
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( ap(k(arr(X0,bool),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_652])]) ).
tff(f2784,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ( ap(k(arr(X0,bool),X1),sK19(arr(X0,bool),c_2Ebool_2E_21(X0))) = X1 ) )
| ~ spl21_76
| ~ spl21_278 ),
inference(resolution,[],[f2763,f892]) ).
tff(f8395,plain,
( spl21_651
| ~ spl21_228
| ~ spl21_257 ),
inference(avatar_split_clause,[],[f2585,f2572,f2198,f8393]) ).
tff(f8393,plain,
( spl21_651
<=> ! [X2: tp__o,X0: del,X1] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),inj__o(X2)) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_651])]) ).
tff(f2585,plain,
( ! [X2: tp__o,X0: del,X1: $i] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),inj__o(X2)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_257 ),
inference(resolution,[],[f2573,f2199]) ).
tff(f8391,plain,
( spl21_650
| ~ spl21_153
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2105,f2024,f1416,f8389]) ).
tff(f8389,plain,
( spl21_650
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2ET),X1),ap(c_2Eextreal_2Eextreal__le,X0)) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_650])]) ).
tff(f2105,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2ET),X1),ap(c_2Eextreal_2Eextreal__le,X0)) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) )
| ~ spl21_153
| ~ spl21_201 ),
inference(resolution,[],[f2025,f1417]) ).
tff(f8387,plain,
( spl21_649
| ~ spl21_153
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2098,f2020,f1416,f8385]) ).
tff(f8385,plain,
( spl21_649
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2ET),X1),ap(c_2Eextreal_2Eextreal__max,X0)) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_649])]) ).
tff(f2098,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2ET),X1),ap(c_2Eextreal_2Eextreal__max,X0)) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) )
| ~ spl21_153
| ~ spl21_200 ),
inference(resolution,[],[f2021,f1417]) ).
tff(f8382,plain,
( spl21_648
| ~ spl21_153
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2092,f2016,f1416,f8380]) ).
tff(f8380,plain,
( spl21_648
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_2F_5C,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_648])]) ).
tff(f2092,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_2F_5C,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_153
| ~ spl21_199 ),
inference(resolution,[],[f2017,f1417]) ).
tff(f8377,plain,
( spl21_647
| ~ spl21_153
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2085,f2012,f1416,f8375]) ).
tff(f8375,plain,
( spl21_647
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_5C_2F,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_647])]) ).
tff(f2085,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_5C_2F,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_153
| ~ spl21_198 ),
inference(resolution,[],[f2013,f1417]) ).
tff(f8373,plain,
( spl21_646
| ~ spl21_153
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2074,f2008,f1416,f8371]) ).
tff(f8371,plain,
( spl21_646
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_646])]) ).
tff(f2074,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_153
| ~ spl21_197 ),
inference(resolution,[],[f2009,f1417]) ).
tff(f8298,plain,
( spl21_645
| ~ spl21_17
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f5497,f3174,f594,f8295]) ).
tff(f5497,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| ~ spl21_17
| ~ spl21_325 ),
inference(resolution,[],[f595,f3175]) ).
tff(f8160,plain,
( spl21_644
| ~ spl21_112
| ~ spl21_278 ),
inference(avatar_split_clause,[],[f2779,f2762,f1115,f8158]) ).
tff(f8158,plain,
( spl21_644
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ~ mem(X1,X0)
| mem(ap(sK19(arr(X0,bool),c_2Ebool_2E_21(X0)),X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_644])]) ).
tff(f2779,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0)))
| ~ mem(X1,X0)
| mem(ap(sK19(arr(X0,bool),c_2Ebool_2E_21(X0)),X1),bool) )
| ~ spl21_112
| ~ spl21_278 ),
inference(resolution,[],[f2763,f1116]) ).
tff(f8156,plain,
( spl21_643
| ~ spl21_227
| ~ spl21_277 ),
inference(avatar_split_clause,[],[f2760,f2745,f2194,f8154]) ).
tff(f8154,plain,
( spl21_643
<=> ! [X0] :
( ( ap(c_2Emin_2E_3D(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D(bool),X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_643])]) ).
tff(f2760,plain,
( ! [X0: $i] :
( ( ap(c_2Emin_2E_3D(bool),X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D(bool),X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_227
| ~ spl21_277 ),
inference(resolution,[],[f2746,f2195]) ).
tff(f8152,plain,
( spl21_642
| ~ spl21_250
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2597,f2580,f2437,f8150]) ).
tff(f8150,plain,
( spl21_642
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2EF) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_642])]) ).
tff(f2437,plain,
( spl21_250
<=> ! [X0] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2EF) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_250])]) ).
tff(f2597,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2EF) ) )
| ~ spl21_250
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2438]) ).
tff(f2438,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2EF) ) )
| ~ spl21_250 ),
inference(avatar_component_clause,[],[f2437]) ).
tff(f8148,plain,
( spl21_641
| ~ spl21_248
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2596,f2580,f2429,f8146]) ).
tff(f8146,plain,
( spl21_641
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2ET) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_641])]) ).
tff(f2429,plain,
( spl21_248
<=> ! [X0] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2ET) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_248])]) ).
tff(f2596,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),sK20(bool,X0,c_2Ebool_2E_7E)),c_2Ebool_2ET) ) )
| ~ spl21_248
| ~ spl21_259 ),
inference(resolution,[],[f2581,f2430]) ).
tff(f2430,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2ET) ) )
| ~ spl21_248 ),
inference(avatar_component_clause,[],[f2429]) ).
tff(f8144,plain,
( spl21_640
| ~ spl21_228
| ~ spl21_252 ),
inference(avatar_split_clause,[],[f2555,f2445,f2198,f8142]) ).
tff(f8142,plain,
( spl21_640
<=> ! [X0: del,X1] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2EF) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_640])]) ).
tff(f2555,plain,
( ! [X0: del,X1: $i] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2EF) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_252 ),
inference(resolution,[],[f2446,f2199]) ).
tff(f8140,plain,
( spl21_639
| ~ spl21_228
| ~ spl21_251 ),
inference(avatar_split_clause,[],[f2549,f2441,f2198,f8138]) ).
tff(f8138,plain,
( spl21_639
<=> ! [X0: del,X1] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2ET) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_639])]) ).
tff(f2549,plain,
( ! [X0: del,X1: $i] :
( ( ap(c_2Ebool_2E_21(X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2ET) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_251 ),
inference(resolution,[],[f2442,f2199]) ).
tff(f8136,plain,
( spl21_638
| ~ spl21_153
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2327,f2198,f1416,f8134]) ).
tff(f8134,plain,
( spl21_638
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X2),ap(c_2Ebool_2E_21(X1),X0)) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_638])]) ).
tff(f2327,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X2),ap(c_2Ebool_2E_21(X1),X0)) = X2 )
| ~ mem(X2,bool) )
| ~ spl21_153
| ~ spl21_228 ),
inference(resolution,[],[f2199,f1417]) ).
tff(f8132,plain,
( spl21_637
| ~ spl21_110
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2325,f2198,f1107,f8130]) ).
tff(f8130,plain,
( spl21_637
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| p(ap(c_2Ebool_2E_21(X1),X0))
| p(X2)
| ( ap(c_2Ebool_2E_21(X1),X0) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_637])]) ).
tff(f2325,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| p(ap(c_2Ebool_2E_21(X1),X0))
| p(X2)
| ( ap(c_2Ebool_2E_21(X1),X0) = X2 )
| ~ mem(X2,bool) )
| ~ spl21_110
| ~ spl21_228 ),
inference(resolution,[],[f2199,f1108]) ).
tff(f8128,plain,
( spl21_636
| ~ spl21_157
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2103,f2024,f1486,f8126]) ).
tff(f8126,plain,
( spl21_636
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK20(ty_2Eextreal_2Eextreal,X1,ap(c_2Eextreal_2Eextreal__le,X0)),ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_636])]) ).
tff(f2103,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK20(ty_2Eextreal_2Eextreal,X1,ap(c_2Eextreal_2Eextreal__le,X0)),ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,bool)) )
| ~ spl21_157
| ~ spl21_201 ),
inference(resolution,[],[f2025,f1487]) ).
tff(f8124,plain,
( spl21_635
| ~ spl21_157
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2096,f2020,f1486,f8122]) ).
tff(f8122,plain,
( spl21_635
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK20(ty_2Eextreal_2Eextreal,X1,ap(c_2Eextreal_2Eextreal__max,X0)),ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_635])]) ).
tff(f2096,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK20(ty_2Eextreal_2Eextreal,X1,ap(c_2Eextreal_2Eextreal__max,X0)),ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = X1 )
| ~ mem(X1,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) )
| ~ spl21_157
| ~ spl21_200 ),
inference(resolution,[],[f2021,f1487]) ).
tff(f8118,plain,
( spl21_634
| ~ spl21_157
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2090,f2016,f1486,f8116]) ).
tff(f8116,plain,
( spl21_634
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_634])]) ).
tff(f2090,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_157
| ~ spl21_199 ),
inference(resolution,[],[f2017,f1487]) ).
tff(f8112,plain,
( spl21_633
| ~ spl21_157
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2083,f2012,f1486,f8110]) ).
tff(f8110,plain,
( spl21_633
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_633])]) ).
tff(f2083,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_157
| ~ spl21_198 ),
inference(resolution,[],[f2013,f1487]) ).
tff(f8108,plain,
( spl21_98
| spl21_1
| ~ spl21_69
| spl21_229
| ~ spl21_249
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f7927,f3170,f2433,f2283,f829,f509,f997]) ).
tff(f2433,plain,
( spl21_249
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_249])]) ).
tff(f7927,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| ~ spl21_69
| spl21_229
| ~ spl21_249
| ~ spl21_324 ),
inference(forward_demodulation,[],[f2989,f5816]) ).
tff(f2989,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18))) )
| ~ spl21_69
| ~ spl21_249 ),
inference(duplicate_literal_removal,[],[f2987]) ).
tff(f2987,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18))) )
| ~ spl21_69
| ~ spl21_249 ),
inference(resolution,[],[f2434,f830]) ).
tff(f2434,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18))
| p(inj__o(X0)) )
| ~ spl21_249 ),
inference(avatar_component_clause,[],[f2433]) ).
tff(f8107,plain,
( spl21_632
| ~ spl21_157
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2072,f2008,f1486,f8105]) ).
tff(f8105,plain,
( spl21_632
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_632])]) ).
tff(f2072,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| mem(sK20(bool,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = X1 )
| ~ mem(X1,arr(bool,bool)) )
| ~ spl21_157
| ~ spl21_197 ),
inference(resolution,[],[f2009,f1487]) ).
tff(f7969,plain,
( spl21_631
| ~ spl21_240
| ~ spl21_291 ),
inference(avatar_split_clause,[],[f2914,f2867,f2397,f7967]) ).
tff(f7967,plain,
( spl21_631
<=> ! [X0] :
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_631])]) ).
tff(f2867,plain,
( spl21_291
<=> ! [X0] :
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_291])]) ).
tff(f2914,plain,
( ! [X0: $i] :
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_291 ),
inference(resolution,[],[f2868,f2398]) ).
tff(f2868,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__max) ) )
| ~ spl21_291 ),
inference(avatar_component_clause,[],[f2867]) ).
tff(f7964,plain,
( spl21_630
| ~ spl21_240
| ~ spl21_290 ),
inference(avatar_split_clause,[],[f2912,f2863,f2397,f7962]) ).
tff(f7962,plain,
( spl21_630
<=> ! [X0] :
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_630])]) ).
tff(f2863,plain,
( spl21_290
<=> ! [X0] :
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_290])]) ).
tff(f2912,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_290 ),
inference(resolution,[],[f2864,f2398]) ).
tff(f2864,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_2F_5C) ) )
| ~ spl21_290 ),
inference(avatar_component_clause,[],[f2863]) ).
tff(f7960,plain,
( spl21_98
| spl21_1
| ~ spl21_69
| spl21_229
| ~ spl21_298
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f7926,f3170,f2895,f2283,f829,f509,f997]) ).
tff(f2895,plain,
( spl21_298
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_298])]) ).
tff(f7926,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| ~ spl21_69
| spl21_229
| ~ spl21_298
| ~ spl21_324 ),
inference(forward_demodulation,[],[f3018,f5816]) ).
tff(f3018,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18))) )
| ~ spl21_69
| ~ spl21_298 ),
inference(duplicate_literal_removal,[],[f3016]) ).
tff(f3016,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| p(inj__o(X0)) )
| ~ spl21_69
| ~ spl21_298 ),
inference(resolution,[],[f2896,f830]) ).
tff(f2896,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),X0)
| p(inj__o(X0)) )
| ~ spl21_298 ),
inference(avatar_component_clause,[],[f2895]) ).
tff(f7958,plain,
( spl21_629
| ~ spl21_240
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2907,f2859,f2397,f7956]) ).
tff(f7956,plain,
( spl21_629
<=> ! [X0] :
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_629])]) ).
tff(f2859,plain,
( spl21_289
<=> ! [X0] :
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_289])]) ).
tff(f2907,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_289 ),
inference(resolution,[],[f2860,f2398]) ).
tff(f2860,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_5C_2F) ) )
| ~ spl21_289 ),
inference(avatar_component_clause,[],[f2859]) ).
tff(f7954,plain,
( spl21_628
| ~ spl21_240
| ~ spl21_288 ),
inference(avatar_split_clause,[],[f2902,f2855,f2397,f7952]) ).
tff(f7952,plain,
( spl21_628
<=> ! [X0] :
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_628])]) ).
tff(f2855,plain,
( spl21_288
<=> ! [X0] :
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_288])]) ).
tff(f2902,plain,
( ! [X0: $i] :
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),ap(c_2Ebool_2ECOND(bool),X0)),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_288 ),
inference(resolution,[],[f2856,f2398]) ).
tff(f2856,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Emin_2E_3D_3D_3E) ) )
| ~ spl21_288 ),
inference(avatar_component_clause,[],[f2855]) ).
tff(f7950,plain,
( spl21_627
| ~ spl21_240
| ~ spl21_279 ),
inference(avatar_split_clause,[],[f2787,f2766,f2397,f7948]) ).
tff(f7948,plain,
( spl21_627
<=> ! [X0] :
( ( c_2Emin_2E_3D(bool) = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Emin_2E_3D(bool)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_627])]) ).
tff(f2766,plain,
( spl21_279
<=> ! [X0: del,X1] :
( mem(sK20(X0,X1,c_2Emin_2E_3D(X0)),X0)
| ( c_2Emin_2E_3D(X0) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_279])]) ).
tff(f2787,plain,
( ! [X0: $i] :
( ( c_2Emin_2E_3D(bool) = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Emin_2E_3D(bool)),bool)
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_279 ),
inference(resolution,[],[f2767,f2398]) ).
tff(f2767,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,arr(X0,bool)))
| ( c_2Emin_2E_3D(X0) = X1 )
| mem(sK20(X0,X1,c_2Emin_2E_3D(X0)),X0) )
| ~ spl21_279 ),
inference(avatar_component_clause,[],[f2766]) ).
tff(f7946,plain,
( spl21_626
| ~ spl21_228
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2641,f2610,f2198,f7944]) ).
tff(f7944,plain,
( spl21_626
<=> ! [X2,X0: tp__o,X1: del] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X1),X2)),inj__o(X0)) )
| ~ mem(X2,arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_626])]) ).
tff(f2641,plain,
( ! [X2: $i,X0: tp__o,X1: del] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X1),X2)),inj__o(X0)) )
| ~ mem(X2,arr(X1,bool)) )
| ~ spl21_228
| ~ spl21_261 ),
inference(resolution,[],[f2611,f2199]) ).
tff(f7942,plain,
( spl21_625
| ~ spl21_68
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2604,f2580,f825,f7940]) ).
tff(f7940,plain,
( spl21_625
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(i(bool),sK20(bool,X0,c_2Ebool_2E_7E)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_625])]) ).
tff(f2604,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = ap(i(bool),sK20(bool,X0,c_2Ebool_2E_7E)) ) )
| ~ spl21_68
| ~ spl21_259 ),
inference(resolution,[],[f2581,f826]) ).
tff(f7938,plain,
( spl21_624
| ~ spl21_228
| ~ spl21_234 ),
inference(avatar_split_clause,[],[f2361,f2352,f2198,f7936]) ).
tff(f7936,plain,
( spl21_624
<=> ! [X2: tp__o,X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ( ap(c_2Ebool_2E_21(X0),X1) = inj__o(X2) )
| p(inj__o(X2))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_624])]) ).
tff(f2361,plain,
( ! [X2: tp__o,X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ( ap(c_2Ebool_2E_21(X0),X1) = inj__o(X2) )
| p(inj__o(X2))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_234 ),
inference(resolution,[],[f2353,f2199]) ).
tff(f7934,plain,
( spl21_623
| ~ spl21_152
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1668,f1653,f1412,f7932]) ).
tff(f7932,plain,
( spl21_623
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_7E,X0)) )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_623])]) ).
tff(f1653,plain,
( spl21_177
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_7E,X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_177])]) ).
tff(f1668,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X1),ap(c_2Ebool_2E_7E,X0)) )
| ~ mem(X1,bool) )
| ~ spl21_152
| ~ spl21_177 ),
inference(resolution,[],[f1654,f1413]) ).
tff(f1654,plain,
( ! [X0: $i] :
( mem(ap(c_2Ebool_2E_7E,X0),bool)
| ~ mem(X0,bool) )
| ~ spl21_177 ),
inference(avatar_component_clause,[],[f1653]) ).
tff(f7925,plain,
( spl21_98
| spl21_1
| ~ spl21_18
| spl21_229
| ~ spl21_238
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f7218,f3170,f2389,f2283,f607,f509,f997]) ).
tff(f607,plain,
( spl21_18
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
tff(f2389,plain,
( spl21_238
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_238])]) ).
tff(f7218,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| ~ spl21_18
| spl21_229
| ~ spl21_238
| ~ spl21_324 ),
inference(forward_demodulation,[],[f2936,f5816]) ).
tff(f2936,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18))) )
| ~ spl21_18
| ~ spl21_238 ),
inference(resolution,[],[f2390,f608]) ).
tff(f608,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP0(X0,X1)
| p(inj__o(X1)) )
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f607]) ).
tff(f2390,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18))
| p(inj__o(X0)) )
| ~ spl21_238 ),
inference(avatar_component_clause,[],[f2389]) ).
tff(f7759,plain,
( spl21_622
| ~ spl21_75
| ~ spl21_307 ),
inference(avatar_split_clause,[],[f3007,f3004,f887,f7757]) ).
tff(f7757,plain,
( spl21_622
<=> ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2EF),c_2Ebool_2ECOND(X0)),c_2Ebool_2ECOND(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_622])]) ).
tff(f887,plain,
( spl21_75
<=> ! [X0: del] : mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).
tff(f3004,plain,
( spl21_307
<=> ! [X0: del,X1] :
( ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2EF),X1),c_2Ebool_2ECOND(X0)) )
| ~ mem(X1,arr(bool,arr(X0,arr(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_307])]) ).
tff(f3007,plain,
( ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2EF),c_2Ebool_2ECOND(X0)),c_2Ebool_2ECOND(X0)) )
| ~ spl21_75
| ~ spl21_307 ),
inference(resolution,[],[f3005,f888]) ).
tff(f888,plain,
( ! [X0: del] : mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0))))
| ~ spl21_75 ),
inference(avatar_component_clause,[],[f887]) ).
tff(f3005,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(bool,arr(X0,arr(X0,X0))))
| ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2EF),X1),c_2Ebool_2ECOND(X0)) ) )
| ~ spl21_307 ),
inference(avatar_component_clause,[],[f3004]) ).
tff(f7755,plain,
( spl21_621
| ~ spl21_75
| ~ spl21_306 ),
inference(avatar_split_clause,[],[f3002,f2999,f887,f7753]) ).
tff(f7753,plain,
( spl21_621
<=> ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ET),c_2Ebool_2ECOND(X0)),c_2Ebool_2ECOND(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_621])]) ).
tff(f2999,plain,
( spl21_306
<=> ! [X0: del,X1] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ET),X1),c_2Ebool_2ECOND(X0)) = X1 )
| ~ mem(X1,arr(bool,arr(X0,arr(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_306])]) ).
tff(f3002,plain,
( ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ET),c_2Ebool_2ECOND(X0)),c_2Ebool_2ECOND(X0)) )
| ~ spl21_75
| ~ spl21_306 ),
inference(resolution,[],[f3000,f888]) ).
tff(f3000,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(bool,arr(X0,arr(X0,X0))))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ET),X1),c_2Ebool_2ECOND(X0)) = X1 ) )
| ~ spl21_306 ),
inference(avatar_component_clause,[],[f2999]) ).
tff(f7751,plain,
( spl21_620
| ~ spl21_170
| ~ spl21_284 ),
inference(avatar_split_clause,[],[f2833,f2810,f1580,f7749]) ).
tff(f7749,plain,
( spl21_620
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_5C_2F(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_620])]) ).
tff(f2810,plain,
( spl21_284
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_284])]) ).
tff(f2833,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_5C_2F(X0,X1)) )
| ~ spl21_170
| ~ spl21_284 ),
inference(resolution,[],[f2811,f1581]) ).
tff(f2811,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_284 ),
inference(avatar_component_clause,[],[f2810]) ).
tff(f7747,plain,
( spl21_619
| ~ spl21_171
| ~ spl21_284 ),
inference(avatar_split_clause,[],[f2832,f2810,f1595,f7745]) ).
tff(f7745,plain,
( spl21_619
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_5C_2F(X0,X1),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_619])]) ).
tff(f2832,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_5C_2F(X0,X1),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_284 ),
inference(resolution,[],[f2811,f1596]) ).
tff(f7743,plain,
( spl21_618
| ~ spl21_172
| ~ spl21_284 ),
inference(avatar_split_clause,[],[f2831,f2810,f1610,f7741]) ).
tff(f7741,plain,
( spl21_618
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_5C_2F(X0,X1),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_618])]) ).
tff(f2831,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_5C_2F(X0,X1),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_284 ),
inference(resolution,[],[f2811,f1611]) ).
tff(f7738,plain,
( spl21_617
| ~ spl21_199
| ~ spl21_277 ),
inference(avatar_split_clause,[],[f2758,f2745,f2016,f7736]) ).
tff(f7736,plain,
( spl21_617
<=> ! [X0] :
( ( ap(c_2Ebool_2E_2F_5C,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Ebool_2E_2F_5C,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_617])]) ).
tff(f2758,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2E_2F_5C,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Ebool_2E_2F_5C,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_199
| ~ spl21_277 ),
inference(resolution,[],[f2746,f2017]) ).
tff(f7733,plain,
( spl21_616
| ~ spl21_198
| ~ spl21_277 ),
inference(avatar_split_clause,[],[f2757,f2745,f2012,f7731]) ).
tff(f7731,plain,
( spl21_616
<=> ! [X0] :
( ( ap(c_2Ebool_2E_5C_2F,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Ebool_2E_5C_2F,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_616])]) ).
tff(f2757,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2E_5C_2F,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Ebool_2E_5C_2F,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_198
| ~ spl21_277 ),
inference(resolution,[],[f2746,f2013]) ).
tff(f7729,plain,
( spl21_615
| ~ spl21_197
| ~ spl21_277 ),
inference(avatar_split_clause,[],[f2756,f2745,f2008,f7727]) ).
tff(f7727,plain,
( spl21_615
<=> ! [X0] :
( ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D_3D_3E,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_615])]) ).
tff(f2756,plain,
( ! [X0: $i] :
( ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),ap(c_2Emin_2E_3D_3D_3E,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_197
| ~ spl21_277 ),
inference(resolution,[],[f2746,f2009]) ).
tff(f7725,plain,
( spl21_614
| ~ spl21_71
| ~ spl21_269 ),
inference(avatar_split_clause,[],[f2716,f2669,f840,f7723]) ).
tff(f7723,plain,
( spl21_614
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP1(fo__c_2Emin_2E_3D_3D_3E(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_614])]) ).
tff(f2669,plain,
( spl21_269
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_269])]) ).
tff(f2716,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP1(fo__c_2Emin_2E_3D_3D_3E(X0,X1),X2) )
| ~ spl21_71
| ~ spl21_269 ),
inference(resolution,[],[f2670,f841]) ).
tff(f2670,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_269 ),
inference(avatar_component_clause,[],[f2669]) ).
tff(f7721,plain,
( spl21_613
| ~ spl21_72
| ~ spl21_269 ),
inference(avatar_split_clause,[],[f2715,f2669,f844,f7719]) ).
tff(f7719,plain,
( spl21_613
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP1(X2,fo__c_2Emin_2E_3D_3D_3E(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_613])]) ).
tff(f2715,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP1(X2,fo__c_2Emin_2E_3D_3D_3E(X0,X1)) )
| ~ spl21_72
| ~ spl21_269 ),
inference(resolution,[],[f2670,f845]) ).
tff(f7717,plain,
( spl21_612
| ~ spl21_73
| ~ spl21_269 ),
inference(avatar_split_clause,[],[f2714,f2669,f848,f7715]) ).
tff(f7715,plain,
( spl21_612
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP0(X2,fo__c_2Emin_2E_3D_3D_3E(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_612])]) ).
tff(f2714,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| p(inj__o(X2))
| sP0(X2,fo__c_2Emin_2E_3D_3D_3E(X0,X1)) )
| ~ spl21_73
| ~ spl21_269 ),
inference(resolution,[],[f2670,f849]) ).
tff(f7713,plain,
( spl21_611
| ~ spl21_196
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2594,f2580,f1997,f7711]) ).
tff(f7711,plain,
( spl21_611
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ~ p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( c_2Ebool_2ET = sK20(bool,X0,c_2Ebool_2E_7E) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_611])]) ).
tff(f1997,plain,
( spl21_196
<=> ! [X0] :
( ~ p(X0)
| ~ mem(X0,bool)
| ( c_2Ebool_2ET = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_196])]) ).
tff(f2594,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ~ p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( c_2Ebool_2ET = sK20(bool,X0,c_2Ebool_2E_7E) ) )
| ~ spl21_196
| ~ spl21_259 ),
inference(resolution,[],[f2581,f1998]) ).
tff(f1998,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ~ p(X0)
| ( c_2Ebool_2ET = X0 ) )
| ~ spl21_196 ),
inference(avatar_component_clause,[],[f1997]) ).
tff(f7709,plain,
( spl21_610
| ~ spl21_195
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2593,f2580,f1988,f7707]) ).
tff(f7707,plain,
( spl21_610
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( c_2Ebool_2EF = sK20(bool,X0,c_2Ebool_2E_7E) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_610])]) ).
tff(f1988,plain,
( spl21_195
<=> ! [X0] :
( p(X0)
| ~ mem(X0,bool)
| ( c_2Ebool_2EF = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_195])]) ).
tff(f2593,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| p(sK20(bool,X0,c_2Ebool_2E_7E))
| ( c_2Ebool_2EF = sK20(bool,X0,c_2Ebool_2E_7E) ) )
| ~ spl21_195
| ~ spl21_259 ),
inference(resolution,[],[f2581,f1989]) ).
tff(f1989,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| p(X0)
| ( c_2Ebool_2EF = X0 ) )
| ~ spl21_195 ),
inference(avatar_component_clause,[],[f1988]) ).
tff(f7705,plain,
( spl21_609
| ~ spl21_49
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2590,f2580,f739,f7703]) ).
tff(f7703,plain,
( spl21_609
<=> ! [X0] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = inj__o(surj__o(sK20(bool,X0,c_2Ebool_2E_7E))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_609])]) ).
tff(f739,plain,
( spl21_49
<=> ! [X0] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
tff(f2590,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( sK20(bool,X0,c_2Ebool_2E_7E) = inj__o(surj__o(sK20(bool,X0,c_2Ebool_2E_7E))) ) )
| ~ spl21_49
| ~ spl21_259 ),
inference(resolution,[],[f2581,f740]) ).
tff(f740,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(surj__o(X0)) = X0 ) )
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f739]) ).
tff(f7701,plain,
( spl21_608
| ~ spl21_68
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2489,f2397,f825,f7699]) ).
tff(f7699,plain,
( spl21_608
<=> ! [X0,X1: del] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2ECOND(X1),X0) = ap(i(arr(X1,arr(X1,X1))),ap(c_2Ebool_2ECOND(X1),X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_608])]) ).
tff(f2489,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2ECOND(X1),X0) = ap(i(arr(X1,arr(X1,X1))),ap(c_2Ebool_2ECOND(X1),X0)) ) )
| ~ spl21_68
| ~ spl21_240 ),
inference(resolution,[],[f2398,f826]) ).
tff(f7697,plain,
( spl21_607
| ~ spl21_145
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2315,f2194,f1372,f7695]) ).
tff(f7695,plain,
( spl21_607
<=> ! [X0,X1: del] :
( ~ mem(X0,X1)
| mem(sK19(X1,ap(c_2Emin_2E_3D(X1),X0)),X1)
| p(ap(c_2Ebool_2E_21(X1),ap(c_2Emin_2E_3D(X1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_607])]) ).
tff(f2315,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,X1)
| mem(sK19(X1,ap(c_2Emin_2E_3D(X1),X0)),X1)
| p(ap(c_2Ebool_2E_21(X1),ap(c_2Emin_2E_3D(X1),X0))) )
| ~ spl21_145
| ~ spl21_227 ),
inference(resolution,[],[f2195,f1373]) ).
tff(f7258,plain,
( spl21_606
| ~ spl21_227
| ~ spl21_276 ),
inference(avatar_split_clause,[],[f2755,f2741,f2194,f7256]) ).
tff(f7256,plain,
( spl21_606
<=> ! [X0] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D(bool),X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_606])]) ).
tff(f2755,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D(bool),X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_227
| ~ spl21_276 ),
inference(resolution,[],[f2742,f2195]) ).
tff(f7254,plain,
( spl21_605
| ~ spl21_240
| ~ spl21_274 ),
inference(avatar_split_clause,[],[f2737,f2689,f2397,f7252]) ).
tff(f7252,plain,
( spl21_605
<=> ! [X0] :
( ( c_2Eextreal_2Eextreal__max = ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) )
| mem(sK20(ty_2Eextreal_2Eextreal,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0),c_2Eextreal_2Eextreal__max),ty_2Eextreal_2Eextreal)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_605])]) ).
tff(f2689,plain,
( spl21_274
<=> ! [X0] :
( mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__max),ty_2Eextreal_2Eextreal)
| ( c_2Eextreal_2Eextreal__max = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_274])]) ).
tff(f2737,plain,
( ! [X0: $i] :
( ( c_2Eextreal_2Eextreal__max = ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) )
| mem(sK20(ty_2Eextreal_2Eextreal,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0),c_2Eextreal_2Eextreal__max),ty_2Eextreal_2Eextreal)
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_274 ),
inference(resolution,[],[f2690,f2398]) ).
tff(f2690,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ( c_2Eextreal_2Eextreal__max = X0 )
| mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__max),ty_2Eextreal_2Eextreal) )
| ~ spl21_274 ),
inference(avatar_component_clause,[],[f2689]) ).
tff(f7248,plain,
( spl21_604
| ~ spl21_240
| ~ spl21_273 ),
inference(avatar_split_clause,[],[f2735,f2685,f2397,f7246]) ).
tff(f7246,plain,
( spl21_604
<=> ! [X0] :
( ( c_2Ebool_2E_2F_5C = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Ebool_2E_2F_5C),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_604])]) ).
tff(f2685,plain,
( spl21_273
<=> ! [X0] :
( mem(sK20(bool,X0,c_2Ebool_2E_2F_5C),bool)
| ( c_2Ebool_2E_2F_5C = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_273])]) ).
tff(f2735,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_2F_5C = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Ebool_2E_2F_5C),bool)
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_273 ),
inference(resolution,[],[f2686,f2398]) ).
tff(f2686,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Ebool_2E_2F_5C = X0 )
| mem(sK20(bool,X0,c_2Ebool_2E_2F_5C),bool) )
| ~ spl21_273 ),
inference(avatar_component_clause,[],[f2685]) ).
tff(f7242,plain,
( spl21_603
| ~ spl21_240
| ~ spl21_272 ),
inference(avatar_split_clause,[],[f2730,f2681,f2397,f7240]) ).
tff(f7240,plain,
( spl21_603
<=> ! [X0] :
( ( c_2Ebool_2E_5C_2F = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Ebool_2E_5C_2F),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_603])]) ).
tff(f2681,plain,
( spl21_272
<=> ! [X0] :
( mem(sK20(bool,X0,c_2Ebool_2E_5C_2F),bool)
| ( c_2Ebool_2E_5C_2F = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_272])]) ).
tff(f2730,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_5C_2F = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Ebool_2E_5C_2F),bool)
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_272 ),
inference(resolution,[],[f2682,f2398]) ).
tff(f2682,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Ebool_2E_5C_2F = X0 )
| mem(sK20(bool,X0,c_2Ebool_2E_5C_2F),bool) )
| ~ spl21_272 ),
inference(avatar_component_clause,[],[f2681]) ).
tff(f7238,plain,
( spl21_602
| ~ spl21_240
| ~ spl21_271 ),
inference(avatar_split_clause,[],[f2725,f2677,f2397,f7236]) ).
tff(f7236,plain,
( spl21_602
<=> ! [X0] :
( ( c_2Emin_2E_3D_3D_3E = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Emin_2E_3D_3D_3E),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_602])]) ).
tff(f2677,plain,
( spl21_271
<=> ! [X0] :
( mem(sK20(bool,X0,c_2Emin_2E_3D_3D_3E),bool)
| ( c_2Emin_2E_3D_3D_3E = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_271])]) ).
tff(f2725,plain,
( ! [X0: $i] :
( ( c_2Emin_2E_3D_3D_3E = ap(c_2Ebool_2ECOND(bool),X0) )
| mem(sK20(bool,ap(c_2Ebool_2ECOND(bool),X0),c_2Emin_2E_3D_3D_3E),bool)
| ~ mem(X0,bool) )
| ~ spl21_240
| ~ spl21_271 ),
inference(resolution,[],[f2678,f2398]) ).
tff(f2678,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,arr(bool,bool)))
| ( c_2Emin_2E_3D_3D_3E = X0 )
| mem(sK20(bool,X0,c_2Emin_2E_3D_3D_3E),bool) )
| ~ spl21_271 ),
inference(avatar_component_clause,[],[f2677]) ).
tff(f7234,plain,
( spl21_601
| ~ spl21_236
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2629,f2606,f2381,f7232]) ).
tff(f7232,plain,
( spl21_601
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP0(X3,fo__c_2Eextreal_2Eextreal__le(X2,X0))
| p(inj__o(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_601])]) ).
tff(f2606,plain,
( spl21_260
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_260])]) ).
tff(f2629,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP0(X3,fo__c_2Eextreal_2Eextreal__le(X2,X0))
| p(inj__o(X3)) )
| ~ spl21_236
| ~ spl21_260 ),
inference(resolution,[],[f2607,f2382]) ).
tff(f2607,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_260 ),
inference(avatar_component_clause,[],[f2606]) ).
tff(f7230,plain,
( spl21_600
| ~ spl21_237
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2628,f2606,f2385,f7228]) ).
tff(f7228,plain,
( spl21_600
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X2,X0))
| p(inj__o(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_600])]) ).
tff(f2628,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X2,X0))
| p(inj__o(X3)) )
| ~ spl21_237
| ~ spl21_260 ),
inference(resolution,[],[f2607,f2386]) ).
tff(f7226,plain,
( spl21_599
| ~ spl21_239
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2627,f2606,f2393,f7224]) ).
tff(f7224,plain,
( spl21_599
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X2,X0),X3)
| p(inj__o(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_599])]) ).
tff(f2627,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X2,X0),X3)
| p(inj__o(X3)) )
| ~ spl21_239
| ~ spl21_260 ),
inference(resolution,[],[f2607,f2394]) ).
tff(f7222,plain,
( spl21_598
| ~ spl21_76
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f2603,f2580,f891,f7220]) ).
tff(f7220,plain,
( spl21_598
<=> ! [X0,X1] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( ap(k(bool,X1),sK20(bool,X0,c_2Ebool_2E_7E)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_598])]) ).
tff(f2603,plain,
( ! [X0: $i,X1: $i] :
( ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool))
| ( ap(k(bool,X1),sK20(bool,X0,c_2Ebool_2E_7E)) = X1 ) )
| ~ spl21_76
| ~ spl21_259 ),
inference(resolution,[],[f2581,f892]) ).
tff(f7214,plain,
( spl21_229
| ~ spl21_97
| spl21_353 ),
inference(avatar_split_clause,[],[f3509,f3418,f979,f2283]) ).
tff(f979,plain,
( spl21_97
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_97])]) ).
tff(f3509,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| ~ spl21_97
| spl21_353 ),
inference(resolution,[],[f3420,f980]) ).
tff(f980,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0))) )
| ~ spl21_97 ),
inference(avatar_component_clause,[],[f979]) ).
tff(f3420,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| spl21_353 ),
inference(avatar_component_clause,[],[f3418]) ).
tff(f7213,plain,
( spl21_597
| ~ spl21_177
| ~ spl21_257 ),
inference(avatar_split_clause,[],[f2584,f2572,f1653,f7211]) ).
tff(f7211,plain,
( spl21_597
<=> ! [X0,X1: tp__o] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),inj__o(X1)) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_597])]) ).
tff(f2584,plain,
( ! [X0: $i,X1: tp__o] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),inj__o(X1)) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_257 ),
inference(resolution,[],[f2573,f1654]) ).
tff(f7209,plain,
( spl21_596
| ~ spl21_228
| ~ spl21_250 ),
inference(avatar_split_clause,[],[f2543,f2437,f2198,f7207]) ).
tff(f7207,plain,
( spl21_596
<=> ! [X0: del,X1] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2EF) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_596])]) ).
tff(f2543,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2EF) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_250 ),
inference(resolution,[],[f2438,f2199]) ).
tff(f7205,plain,
( spl21_595
| ~ spl21_228
| ~ spl21_248 ),
inference(avatar_split_clause,[],[f2537,f2429,f2198,f7203]) ).
tff(f7203,plain,
( spl21_595
<=> ! [X0: del,X1] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2ET) )
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_595])]) ).
tff(f2537,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_21(X0),X1)),c_2Ebool_2ET) )
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_228
| ~ spl21_248 ),
inference(resolution,[],[f2430,f2199]) ).
tff(f7201,plain,
( spl21_594
| ~ spl21_146
| ~ spl21_239 ),
inference(avatar_split_clause,[],[f2475,f2393,f1376,f7199]) ).
tff(f7199,plain,
( spl21_594
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__ty_2Eextreal_2Eextreal,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X1,X0),X2)
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_594])]) ).
tff(f2475,plain,
( ! [X2: tp__o,X3: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X1,X0),X2)
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) )
| ~ spl21_146
| ~ spl21_239 ),
inference(resolution,[],[f2394,f1377]) ).
tff(f7197,plain,
( spl21_593
| ~ spl21_146
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f2463,f2385,f1376,f7195]) ).
tff(f7195,plain,
( spl21_593
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__ty_2Eextreal_2Eextreal,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_593])]) ).
tff(f2463,plain,
( ! [X2: tp__o,X3: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) )
| ~ spl21_146
| ~ spl21_237 ),
inference(resolution,[],[f2386,f1377]) ).
tff(f7193,plain,
( spl21_592
| ~ spl21_146
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f2451,f2381,f1376,f7191]) ).
tff(f7191,plain,
( spl21_592
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__ty_2Eextreal_2Eextreal,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_592])]) ).
tff(f2451,plain,
( ! [X2: tp__o,X3: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X1))) )
| ~ spl21_146
| ~ spl21_236 ),
inference(resolution,[],[f2382,f1377]) ).
tff(f7189,plain,
( spl21_591
| ~ spl21_153
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1667,f1653,f1416,f7187]) ).
tff(f7187,plain,
( spl21_591
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_7E,X0)) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_591])]) ).
tff(f1667,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X1),ap(c_2Ebool_2E_7E,X0)) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_153
| ~ spl21_177 ),
inference(resolution,[],[f1654,f1417]) ).
tff(f7020,plain,
( spl21_590
| ~ spl21_46
| ~ spl21_303 ),
inference(avatar_split_clause,[],[f2983,f2974,f727,f7018]) ).
tff(f7018,plain,
( spl21_590
<=> ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),c_2Ebool_2E_21(X0)),c_2Ebool_2E_21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_590])]) ).
tff(f727,plain,
( spl21_46
<=> ! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).
tff(f2983,plain,
( ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),c_2Ebool_2E_21(X0)),c_2Ebool_2E_21(X0)) )
| ~ spl21_46
| ~ spl21_303 ),
inference(resolution,[],[f2975,f728]) ).
tff(f728,plain,
( ! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool))
| ~ spl21_46 ),
inference(avatar_component_clause,[],[f727]) ).
tff(f7016,plain,
( spl21_589
| ~ spl21_47
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2978,f2970,f731,f7014]) ).
tff(f7014,plain,
( spl21_589
<=> ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(X0)),c_2Emin_2E_3D(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_589])]) ).
tff(f731,plain,
( spl21_47
<=> ! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_47])]) ).
tff(f2978,plain,
( ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(X0)),c_2Emin_2E_3D(X0)) )
| ~ spl21_47
| ~ spl21_302 ),
inference(resolution,[],[f2971,f732]) ).
tff(f732,plain,
( ! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool)))
| ~ spl21_47 ),
inference(avatar_component_clause,[],[f731]) ).
tff(f7012,plain,
( spl21_588
| ~ spl21_46
| ~ spl21_300 ),
inference(avatar_split_clause,[],[f2956,f2943,f727,f7010]) ).
tff(f7010,plain,
( spl21_588
<=> ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),c_2Ebool_2E_21(X0)),c_2Ebool_2E_21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_588])]) ).
tff(f2956,plain,
( ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),c_2Ebool_2E_21(X0)),c_2Ebool_2E_21(X0)) )
| ~ spl21_46
| ~ spl21_300 ),
inference(resolution,[],[f2944,f728]) ).
tff(f7008,plain,
( spl21_587
| ~ spl21_47
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2950,f2939,f731,f7006]) ).
tff(f7006,plain,
( spl21_587
<=> ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(X0)),c_2Emin_2E_3D(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_587])]) ).
tff(f2950,plain,
( ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(X0)),c_2Emin_2E_3D(X0)) )
| ~ spl21_47
| ~ spl21_299 ),
inference(resolution,[],[f2940,f732]) ).
tff(f7003,plain,
( spl21_586
| ~ spl21_199
| ~ spl21_276 ),
inference(avatar_split_clause,[],[f2753,f2741,f2016,f7001]) ).
tff(f7001,plain,
( spl21_586
<=> ! [X0] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Ebool_2E_2F_5C,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_586])]) ).
tff(f2753,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Ebool_2E_2F_5C,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_199
| ~ spl21_276 ),
inference(resolution,[],[f2742,f2017]) ).
tff(f6998,plain,
( spl21_585
| ~ spl21_198
| ~ spl21_276 ),
inference(avatar_split_clause,[],[f2752,f2741,f2012,f6996]) ).
tff(f6996,plain,
( spl21_585
<=> ! [X0] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Ebool_2E_5C_2F,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_585])]) ).
tff(f2752,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Ebool_2E_5C_2F,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_198
| ~ spl21_276 ),
inference(resolution,[],[f2742,f2013]) ).
tff(f6994,plain,
( spl21_584
| ~ spl21_197
| ~ spl21_276 ),
inference(avatar_split_clause,[],[f2751,f2741,f2008,f6992]) ).
tff(f6992,plain,
( spl21_584
<=> ! [X0] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D_3D_3E,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_584])]) ).
tff(f2751,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),ap(c_2Emin_2E_3D_3D_3E,X0)),c_2Ebool_2E_7E) )
| ~ mem(X0,bool) )
| ~ spl21_197
| ~ spl21_276 ),
inference(resolution,[],[f2742,f2009]) ).
tff(f6990,plain,
( spl21_583
| ~ spl21_177
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2640,f2610,f1653,f6988]) ).
tff(f6988,plain,
( spl21_583
<=> ! [X0: tp__o,X1] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X1)),inj__o(X0)) )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_583])]) ).
tff(f2640,plain,
( ! [X0: tp__o,X1: $i] :
( ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X1)),inj__o(X0)) )
| ~ mem(X1,bool) )
| ~ spl21_177
| ~ spl21_261 ),
inference(resolution,[],[f2611,f1654]) ).
tff(f6986,plain,
( spl21_582
| ~ spl21_177
| ~ spl21_252 ),
inference(avatar_split_clause,[],[f2554,f2445,f1653,f6984]) ).
tff(f6984,plain,
( spl21_582
<=> ! [X0] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2EF) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_582])]) ).
tff(f2554,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2EF) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_252 ),
inference(resolution,[],[f2446,f1654]) ).
tff(f6982,plain,
( spl21_581
| ~ spl21_177
| ~ spl21_251 ),
inference(avatar_split_clause,[],[f2548,f2441,f1653,f6980]) ).
tff(f6980,plain,
( spl21_581
<=> ! [X0] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2ET) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_581])]) ).
tff(f2548,plain,
( ! [X0: $i] :
( ( ap(c_2Ebool_2E_7E,X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2ET) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_251 ),
inference(resolution,[],[f2442,f1654]) ).
tff(f6976,plain,
( spl21_580
| ~ spl21_76
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2488,f2397,f891,f6974]) ).
tff(f6974,plain,
( spl21_580
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,bool)
| ( ap(k(arr(X1,arr(X1,X1)),X2),ap(c_2Ebool_2ECOND(X1),X0)) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_580])]) ).
tff(f2488,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,bool)
| ( ap(k(arr(X1,arr(X1,X1)),X2),ap(c_2Ebool_2ECOND(X1),X0)) = X2 ) )
| ~ spl21_76
| ~ spl21_240 ),
inference(resolution,[],[f2398,f892]) ).
tff(f6972,plain,
( spl21_579
| ~ spl21_68
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2330,f2198,f825,f6970]) ).
tff(f6970,plain,
( spl21_579
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = ap(i(bool),ap(c_2Ebool_2E_21(X1),X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_579])]) ).
tff(f2330,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = ap(i(bool),ap(c_2Ebool_2E_21(X1),X0)) ) )
| ~ spl21_68
| ~ spl21_228 ),
inference(resolution,[],[f2199,f826]) ).
tff(f6968,plain,
( spl21_578
| ~ spl21_68
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2321,f2194,f825,f6966]) ).
tff(f6966,plain,
( spl21_578
<=> ! [X0,X1: del] :
( ~ mem(X0,X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = ap(i(arr(X1,bool)),ap(c_2Emin_2E_3D(X1),X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_578])]) ).
tff(f2321,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,X1)
| ( ap(c_2Emin_2E_3D(X1),X0) = ap(i(arr(X1,bool)),ap(c_2Emin_2E_3D(X1),X0)) ) )
| ~ spl21_68
| ~ spl21_227 ),
inference(resolution,[],[f2195,f826]) ).
tff(f6964,plain,
( spl21_577
| ~ spl21_145
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2102,f2024,f1372,f6962]) ).
tff(f6962,plain,
( spl21_577
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X0)),ty_2Eextreal_2Eextreal)
| p(ap(c_2Ebool_2E_21(ty_2Eextreal_2Eextreal),ap(c_2Eextreal_2Eextreal__le,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_577])]) ).
tff(f2102,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X0)),ty_2Eextreal_2Eextreal)
| p(ap(c_2Ebool_2E_21(ty_2Eextreal_2Eextreal),ap(c_2Eextreal_2Eextreal__le,X0))) )
| ~ spl21_145
| ~ spl21_201 ),
inference(resolution,[],[f2025,f1373]) ).
tff(f6958,plain,
( spl21_576
| ~ spl21_145
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2089,f2016,f1372,f6956]) ).
tff(f6956,plain,
( spl21_576
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_2F_5C,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_576])]) ).
tff(f2089,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_2F_5C,X0))) )
| ~ spl21_145
| ~ spl21_199 ),
inference(resolution,[],[f2017,f1373]) ).
tff(f6952,plain,
( spl21_575
| ~ spl21_145
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2082,f2012,f1372,f6950]) ).
tff(f6950,plain,
( spl21_575
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_5C_2F,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_575])]) ).
tff(f2082,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_5C_2F,X0))) )
| ~ spl21_145
| ~ spl21_198 ),
inference(resolution,[],[f2013,f1373]) ).
tff(f6948,plain,
( spl21_574
| ~ spl21_145
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2071,f2008,f1372,f6946]) ).
tff(f6946,plain,
( spl21_574
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D_3D_3E,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_574])]) ).
tff(f2071,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(sK19(bool,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D_3D_3E,X0))) )
| ~ spl21_145
| ~ spl21_197 ),
inference(resolution,[],[f2009,f1373]) ).
tff(f6941,plain,
( spl21_573
| ~ spl21_172
| spl21_229 ),
inference(avatar_split_clause,[],[f5815,f2283,f1610,f6938]) ).
tff(f5815,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET)
| ~ spl21_172
| spl21_229 ),
inference(resolution,[],[f2284,f1611]) ).
tff(f6859,plain,
( spl21_572
| ~ spl21_171
| spl21_229 ),
inference(avatar_split_clause,[],[f5814,f2283,f1595,f6856]) ).
tff(f6856,plain,
( spl21_572
<=> sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_572])]) ).
tff(f5814,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),fo__c_2Ebool_2ET)
| ~ spl21_171
| spl21_229 ),
inference(resolution,[],[f2284,f1596]) ).
tff(f6810,plain,
( spl21_571
| ~ spl21_25
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2982,f2970,f640,f6807]) ).
tff(f6807,plain,
( spl21_571
<=> ( c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_571])]) ).
tff(f640,plain,
( spl21_25
<=> mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
tff(f2982,plain,
( ( c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)) )
| ~ spl21_25
| ~ spl21_302 ),
inference(resolution,[],[f2971,f642]) ).
tff(f642,plain,
( mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f6804,plain,
( spl21_570
| ~ spl21_21
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2981,f2970,f620,f6801]) ).
tff(f6801,plain,
( spl21_570
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_570])]) ).
tff(f620,plain,
( spl21_21
<=> mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
tff(f2981,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D(bool)) )
| ~ spl21_21
| ~ spl21_302 ),
inference(resolution,[],[f2971,f622]) ).
tff(f622,plain,
( mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool)))
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f620]) ).
tff(f6798,plain,
( spl21_569
| ~ spl21_23
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2980,f2970,f630,f6795]) ).
tff(f6795,plain,
( spl21_569
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_569])]) ).
tff(f630,plain,
( spl21_23
<=> mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
tff(f2980,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D(bool)) )
| ~ spl21_23
| ~ spl21_302 ),
inference(resolution,[],[f2971,f632]) ).
tff(f632,plain,
( mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool)))
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f6793,plain,
( spl21_568
| ~ spl21_22
| ~ spl21_302 ),
inference(avatar_split_clause,[],[f2979,f2970,f625,f6790]) ).
tff(f6790,plain,
( spl21_568
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_568])]) ).
tff(f625,plain,
( spl21_22
<=> mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
tff(f2979,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D(bool)) )
| ~ spl21_22
| ~ spl21_302 ),
inference(resolution,[],[f2971,f627]) ).
tff(f627,plain,
( mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool)))
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f625]) ).
tff(f6776,plain,
( spl21_567
| ~ spl21_170
| spl21_229 ),
inference(avatar_split_clause,[],[f5813,f2283,f1580,f6773]) ).
tff(f5813,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK18))
| ~ spl21_170
| spl21_229 ),
inference(resolution,[],[f2284,f1581]) ).
tff(f6771,plain,
( spl21_402
| ~ spl21_542
| ~ spl21_566 ),
inference(avatar_split_clause,[],[f6770,f6766,f5913,f4120]) ).
tff(f4120,plain,
( spl21_402
<=> ( c_2Eextreal_2Eextreal__le = c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_402])]) ).
tff(f5913,plain,
( spl21_542
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_542])]) ).
tff(f6766,plain,
( spl21_566
<=> ( c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_566])]) ).
tff(f6770,plain,
( ( c_2Eextreal_2Eextreal__le = c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) )
| ~ spl21_542
| ~ spl21_566 ),
inference(forward_demodulation,[],[f6768,f5915]) ).
tff(f5915,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_542 ),
inference(avatar_component_clause,[],[f5913]) ).
tff(f6768,plain,
( ( c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_566 ),
inference(avatar_component_clause,[],[f6766]) ).
tff(f6769,plain,
( spl21_566
| ~ spl21_47
| ~ spl21_297 ),
inference(avatar_split_clause,[],[f2935,f2891,f731,f6766]) ).
tff(f2891,plain,
( spl21_297
<=> ! [X0] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__le) = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_297])]) ).
tff(f2935,plain,
( ( c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_47
| ~ spl21_297 ),
inference(resolution,[],[f2892,f732]) ).
tff(f2892,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__le) = X0 ) )
| ~ spl21_297 ),
inference(avatar_component_clause,[],[f2891]) ).
tff(f6763,plain,
( spl21_565
| ~ spl21_47
| ~ spl21_295 ),
inference(avatar_split_clause,[],[f2930,f2883,f731,f6760]) ).
tff(f6760,plain,
( spl21_565
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_565])]) ).
tff(f2930,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Ebool_2E_2F_5C) )
| ~ spl21_47
| ~ spl21_295 ),
inference(resolution,[],[f2884,f732]) ).
tff(f6757,plain,
( spl21_564
| ~ spl21_47
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f2925,f2879,f731,f6754]) ).
tff(f6754,plain,
( spl21_564
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_564])]) ).
tff(f2925,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Ebool_2E_5C_2F) )
| ~ spl21_47
| ~ spl21_294 ),
inference(resolution,[],[f2880,f732]) ).
tff(f6752,plain,
( spl21_563
| ~ spl21_47
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f2920,f2875,f731,f6749]) ).
tff(f6749,plain,
( spl21_563
<=> ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_563])]) ).
tff(f2920,plain,
( ( c_2Emin_2E_3D(bool) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(bool)),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_47
| ~ spl21_293 ),
inference(resolution,[],[f2876,f732]) ).
tff(f6747,plain,
( spl21_562
| ~ spl21_170
| ~ spl21_266 ),
inference(avatar_split_clause,[],[f2701,f2655,f1580,f6745]) ).
tff(f6745,plain,
( spl21_562
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_2F_5C(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_562])]) ).
tff(f2655,plain,
( spl21_266
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_266])]) ).
tff(f2701,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_2F_5C(X1,X0)) )
| ~ spl21_170
| ~ spl21_266 ),
inference(resolution,[],[f2656,f1581]) ).
tff(f2656,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_266 ),
inference(avatar_component_clause,[],[f2655]) ).
tff(f6743,plain,
( spl21_561
| ~ spl21_171
| ~ spl21_266 ),
inference(avatar_split_clause,[],[f2700,f2655,f1595,f6741]) ).
tff(f6741,plain,
( spl21_561
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP1(fo__c_2Ebool_2E_2F_5C(X1,X0),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_561])]) ).
tff(f2700,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP1(fo__c_2Ebool_2E_2F_5C(X1,X0),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_266 ),
inference(resolution,[],[f2656,f1596]) ).
tff(f6739,plain,
( spl21_560
| ~ spl21_172
| ~ spl21_266 ),
inference(avatar_split_clause,[],[f2699,f2655,f1610,f6737]) ).
tff(f6737,plain,
( spl21_560
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP0(fo__c_2Ebool_2E_2F_5C(X1,X0),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_560])]) ).
tff(f2699,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| ~ mem(inj__o(X1),bool)
| sP0(fo__c_2Ebool_2E_2F_5C(X1,X0),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_266 ),
inference(resolution,[],[f2656,f1611]) ).
tff(f6735,plain,
( spl21_559
| ~ spl21_170
| ~ spl21_265 ),
inference(avatar_split_clause,[],[f2698,f2651,f1580,f6733]) ).
tff(f6733,plain,
( spl21_559
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_2F_5C(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_559])]) ).
tff(f2651,plain,
( spl21_265
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_265])]) ).
tff(f2698,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_2F_5C(X0,X1)) )
| ~ spl21_170
| ~ spl21_265 ),
inference(resolution,[],[f2652,f1581]) ).
tff(f2652,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_265 ),
inference(avatar_component_clause,[],[f2651]) ).
tff(f6731,plain,
( spl21_558
| ~ spl21_171
| ~ spl21_265 ),
inference(avatar_split_clause,[],[f2697,f2651,f1595,f6729]) ).
tff(f6729,plain,
( spl21_558
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_2F_5C(X0,X1),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_558])]) ).
tff(f2697,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_2F_5C(X0,X1),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_265 ),
inference(resolution,[],[f2652,f1596]) ).
tff(f6727,plain,
( spl21_557
| ~ spl21_172
| ~ spl21_265 ),
inference(avatar_split_clause,[],[f2696,f2651,f1610,f6725]) ).
tff(f6725,plain,
( spl21_557
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_2F_5C(X0,X1),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_557])]) ).
tff(f2696,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_2F_5C(X0,X1),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_265 ),
inference(resolution,[],[f2652,f1611]) ).
tff(f6723,plain,
( spl21_556
| ~ spl21_112
| ~ spl21_240 ),
inference(avatar_split_clause,[],[f2485,f2397,f1115,f6721]) ).
tff(f6721,plain,
( spl21_556
<=> ! [X2: del,X0,X1] :
( ~ mem(X0,bool)
| ~ mem(X1,X2)
| mem(ap(ap(c_2Ebool_2ECOND(X2),X0),X1),arr(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_556])]) ).
tff(f2485,plain,
( ! [X2: del,X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ~ mem(X1,X2)
| mem(ap(ap(c_2Ebool_2ECOND(X2),X0),X1),arr(X2,X2)) )
| ~ spl21_112
| ~ spl21_240 ),
inference(resolution,[],[f2398,f1116]) ).
tff(f6719,plain,
( spl21_555
| ~ spl21_71
| ~ spl21_239 ),
inference(avatar_split_clause,[],[f2481,f2393,f840,f6717]) ).
tff(f6717,plain,
( spl21_555
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X1,X0),X2)
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_555])]) ).
tff(f2481,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X1,X0),X2)
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) )
| ~ spl21_71
| ~ spl21_239 ),
inference(resolution,[],[f2394,f841]) ).
tff(f6715,plain,
( spl21_554
| ~ spl21_71
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f2469,f2385,f840,f6713]) ).
tff(f6713,plain,
( spl21_554
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_554])]) ).
tff(f2469,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) )
| ~ spl21_71
| ~ spl21_237 ),
inference(resolution,[],[f2386,f841]) ).
tff(f6711,plain,
( spl21_553
| ~ spl21_72
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f2468,f2385,f844,f6709]) ).
tff(f6709,plain,
( spl21_553
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_553])]) ).
tff(f2468,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) )
| ~ spl21_72
| ~ spl21_237 ),
inference(resolution,[],[f2386,f845]) ).
tff(f6707,plain,
( spl21_552
| ~ spl21_71
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f2457,f2381,f840,f6705]) ).
tff(f6705,plain,
( spl21_552
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_552])]) ).
tff(f2457,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X3) )
| ~ spl21_71
| ~ spl21_236 ),
inference(resolution,[],[f2382,f841]) ).
tff(f6703,plain,
( spl21_551
| ~ spl21_72
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f2456,f2381,f844,f6701]) ).
tff(f6701,plain,
( spl21_551
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_551])]) ).
tff(f2456,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP1(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) )
| ~ spl21_72
| ~ spl21_236 ),
inference(resolution,[],[f2382,f845]) ).
tff(f6699,plain,
( spl21_550
| ~ spl21_73
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f2455,f2381,f848,f6697]) ).
tff(f6697,plain,
( spl21_550
<=> ! [X0: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X2: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP0(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_550])]) ).
tff(f2455,plain,
( ! [X2: tp__o,X3: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(X2,fo__c_2Eextreal_2Eextreal__le(X1,X0))
| p(inj__o(X2))
| p(inj__o(X3))
| sP0(X3,fo__c_2Eextreal_2Eextreal__le(X0,X1)) )
| ~ spl21_73
| ~ spl21_236 ),
inference(resolution,[],[f2382,f849]) ).
tff(f6695,plain,
( spl21_549
| ~ spl21_49
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2326,f2198,f739,f6693]) ).
tff(f6693,plain,
( spl21_549
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = inj__o(surj__o(ap(c_2Ebool_2E_21(X1),X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_549])]) ).
tff(f2326,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(c_2Ebool_2E_21(X1),X0) = inj__o(surj__o(ap(c_2Ebool_2E_21(X1),X0))) ) )
| ~ spl21_49
| ~ spl21_228 ),
inference(resolution,[],[f2199,f740]) ).
tff(f6691,plain,
( spl21_548
| ~ spl21_195
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2323,f2198,f1988,f6689]) ).
tff(f6689,plain,
( spl21_548
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| p(ap(c_2Ebool_2E_21(X1),X0))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_21(X1),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_548])]) ).
tff(f2323,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| p(ap(c_2Ebool_2E_21(X1),X0))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_21(X1),X0) ) )
| ~ spl21_195
| ~ spl21_228 ),
inference(resolution,[],[f2199,f1989]) ).
tff(f6687,plain,
( spl21_547
| ~ spl21_196
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2322,f2198,f1997,f6685]) ).
tff(f6685,plain,
( spl21_547
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ~ p(ap(c_2Ebool_2E_21(X1),X0))
| ( c_2Ebool_2ET = ap(c_2Ebool_2E_21(X1),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_547])]) ).
tff(f2322,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ~ p(ap(c_2Ebool_2E_21(X1),X0))
| ( c_2Ebool_2ET = ap(c_2Ebool_2E_21(X1),X0) ) )
| ~ spl21_196
| ~ spl21_228 ),
inference(resolution,[],[f2199,f1998]) ).
tff(f6439,plain,
( ~ spl21_2
| spl21_1
| ~ spl21_538 ),
inference(avatar_split_clause,[],[f5983,f5890,f509,f514]) ).
tff(f5890,plain,
( spl21_538
<=> ( c_2Ebool_2ET = c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_538])]) ).
tff(f5983,plain,
( ~ p(c_2Ebool_2ET)
| spl21_1
| ~ spl21_538 ),
inference(superposition,[],[f511,f5892]) ).
tff(f5892,plain,
( ( c_2Ebool_2ET = c_2Ebool_2EF )
| ~ spl21_538 ),
inference(avatar_component_clause,[],[f5890]) ).
tff(f511,plain,
( ~ p(c_2Ebool_2EF)
| spl21_1 ),
inference(avatar_component_clause,[],[f509]) ).
tff(f5938,plain,
( spl21_546
| ~ spl21_25
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2955,f2939,f640,f5935]) ).
tff(f5935,plain,
( spl21_546
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_546])]) ).
tff(f2955,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)) )
| ~ spl21_25
| ~ spl21_299 ),
inference(resolution,[],[f2940,f642]) ).
tff(f5932,plain,
( spl21_545
| ~ spl21_21
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2954,f2939,f620,f5929]) ).
tff(f5929,plain,
( spl21_545
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_545])]) ).
tff(f2954,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D(bool)) )
| ~ spl21_21
| ~ spl21_299 ),
inference(resolution,[],[f2940,f622]) ).
tff(f5926,plain,
( spl21_544
| ~ spl21_23
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2953,f2939,f630,f5923]) ).
tff(f5923,plain,
( spl21_544
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_544])]) ).
tff(f2953,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D(bool)) )
| ~ spl21_23
| ~ spl21_299 ),
inference(resolution,[],[f2940,f632]) ).
tff(f5921,plain,
( spl21_543
| ~ spl21_22
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f2952,f2939,f625,f5918]) ).
tff(f5918,plain,
( spl21_543
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D(bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_543])]) ).
tff(f2952,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D(bool)) )
| ~ spl21_22
| ~ spl21_299 ),
inference(resolution,[],[f2940,f627]) ).
tff(f5916,plain,
( spl21_542
| ~ spl21_538
| ~ spl21_541 ),
inference(avatar_split_clause,[],[f5911,f5907,f5890,f5913]) ).
tff(f5907,plain,
( spl21_541
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_541])]) ).
tff(f5911,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_538
| ~ spl21_541 ),
inference(forward_demodulation,[],[f5909,f5892]) ).
tff(f5909,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_541 ),
inference(avatar_component_clause,[],[f5907]) ).
tff(f5910,plain,
( spl21_541
| ~ spl21_47
| ~ spl21_292 ),
inference(avatar_split_clause,[],[f2916,f2871,f731,f5907]) ).
tff(f2871,plain,
( spl21_292
<=> ! [X0] :
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__le) )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_292])]) ).
tff(f2916,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__le) )
| ~ spl21_47
| ~ spl21_292 ),
inference(resolution,[],[f2872,f732]) ).
tff(f2872,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__le) ) )
| ~ spl21_292 ),
inference(avatar_component_clause,[],[f2871]) ).
tff(f5904,plain,
( spl21_540
| ~ spl21_47
| ~ spl21_290 ),
inference(avatar_split_clause,[],[f2911,f2863,f731,f5901]) ).
tff(f5901,plain,
( spl21_540
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_540])]) ).
tff(f2911,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Ebool_2E_2F_5C) )
| ~ spl21_47
| ~ spl21_290 ),
inference(resolution,[],[f2864,f732]) ).
tff(f5898,plain,
( spl21_539
| ~ spl21_47
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2906,f2859,f731,f5895]) ).
tff(f5895,plain,
( spl21_539
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_539])]) ).
tff(f2906,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Ebool_2E_5C_2F) )
| ~ spl21_47
| ~ spl21_289 ),
inference(resolution,[],[f2860,f732]) ).
tff(f5893,plain,
( ~ spl21_2
| spl21_538
| ~ spl21_4
| spl21_15
| ~ spl21_316
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f5736,f3170,f3091,f581,f524,f5890,f514]) ).
tff(f3091,plain,
( spl21_316
<=> ! [X0] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_316])]) ).
tff(f5736,plain,
( ( c_2Ebool_2ET = c_2Ebool_2EF )
| ~ p(c_2Ebool_2ET)
| ~ spl21_4
| spl21_15
| ~ spl21_316
| ~ spl21_324 ),
inference(forward_demodulation,[],[f3098,f5561]) ).
tff(f3098,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) )
| ~ p(c_2Ebool_2ET)
| ~ spl21_4
| ~ spl21_316 ),
inference(resolution,[],[f3092,f526]) ).
tff(f526,plain,
( mem(c_2Ebool_2ET,bool)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f524]) ).
tff(f3092,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) = X0 )
| ~ p(X0) )
| ~ spl21_316 ),
inference(avatar_component_clause,[],[f3091]) ).
tff(f5888,plain,
( spl21_537
| ~ spl21_47
| ~ spl21_288 ),
inference(avatar_split_clause,[],[f2901,f2855,f731,f5885]) ).
tff(f5885,plain,
( spl21_537
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_537])]) ).
tff(f2901,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D(bool)),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_47
| ~ spl21_288 ),
inference(resolution,[],[f2856,f732]) ).
tff(f5883,plain,
( spl21_536
| ~ spl21_170
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2638,f2606,f1580,f5881]) ).
tff(f2638,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X2)) )
| ~ spl21_170
| ~ spl21_260 ),
inference(resolution,[],[f2607,f1581]) ).
tff(f5879,plain,
( spl21_535
| ~ spl21_171
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2637,f2606,f1595,f5877]) ).
tff(f2637,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_260 ),
inference(resolution,[],[f2607,f1596]) ).
tff(f5875,plain,
( spl21_534
| ~ spl21_172
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2636,f2606,f1610,f5873]) ).
tff(f2636,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,X2),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_260 ),
inference(resolution,[],[f2607,f1611]) ).
tff(f5871,plain,
( spl21_533
| ~ spl21_97
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f2630,f2606,f979,f5869]) ).
tff(f5869,plain,
( spl21_533
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_533])]) ).
tff(f2630,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0))) )
| ~ spl21_97
| ~ spl21_260 ),
inference(resolution,[],[f2607,f980]) ).
tff(f5867,plain,
( spl21_532
| ~ spl21_177
| ~ spl21_250 ),
inference(avatar_split_clause,[],[f2542,f2437,f1653,f5865]) ).
tff(f5865,plain,
( spl21_532
<=> ! [X0] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2EF) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_532])]) ).
tff(f2542,plain,
( ! [X0: $i] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2EF) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_250 ),
inference(resolution,[],[f2438,f1654]) ).
tff(f5863,plain,
( spl21_531
| ~ spl21_177
| ~ spl21_248 ),
inference(avatar_split_clause,[],[f2536,f2429,f1653,f5861]) ).
tff(f5861,plain,
( spl21_531
<=> ! [X0] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2ET) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_531])]) ).
tff(f2536,plain,
( ! [X0: $i] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(c_2Ebool_2E_7E,X0)),c_2Ebool_2ET) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_248 ),
inference(resolution,[],[f2430,f1654]) ).
tff(f5859,plain,
( spl21_530
| ~ spl21_76
| ~ spl21_228 ),
inference(avatar_split_clause,[],[f2329,f2198,f891,f5857]) ).
tff(f5857,plain,
( spl21_530
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(k(bool,X2),ap(c_2Ebool_2E_21(X1),X0)) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_530])]) ).
tff(f2329,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ap(k(bool,X2),ap(c_2Ebool_2E_21(X1),X0)) = X2 ) )
| ~ spl21_76
| ~ spl21_228 ),
inference(resolution,[],[f2199,f892]) ).
tff(f5791,plain,
( spl21_529
| ~ spl21_236
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5592,f5519,f2381,f5789]) ).
tff(f5592,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1)) )
| ~ spl21_236
| ~ spl21_513 ),
inference(resolution,[],[f5520,f2382]) ).
tff(f5787,plain,
( spl21_528
| ~ spl21_237
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5591,f5519,f2385,f5785]) ).
tff(f5591,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(X1,fo__c_2Eextreal_2Eextreal__le(sK18,X0))
| p(inj__o(X1)) )
| ~ spl21_237
| ~ spl21_513 ),
inference(resolution,[],[f5520,f2386]) ).
tff(f5783,plain,
( spl21_527
| ~ spl21_239
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5590,f5519,f2393,f5781]) ).
tff(f5590,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK18,X0),X1)
| p(inj__o(X1)) )
| ~ spl21_239
| ~ spl21_513 ),
inference(resolution,[],[f5520,f2394]) ).
tff(f5767,plain,
( spl21_526
| ~ spl21_146
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f5581,f5576,f1376,f5765]) ).
tff(f5581,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) )
| ~ spl21_146
| ~ spl21_514 ),
inference(resolution,[],[f5578,f1377]) ).
tff(f5763,plain,
( spl21_525
| ~ spl21_260
| ~ spl21_514 ),
inference(avatar_split_clause,[],[f5580,f5576,f2606,f5761]) ).
tff(f5580,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))) )
| ~ spl21_260
| ~ spl21_514 ),
inference(resolution,[],[f5578,f2607]) ).
tff(f5735,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_175
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f5674,f3174,f1633,f833,f594,f529,f514]) ).
tff(f1633,plain,
( spl21_175
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_175])]) ).
tff(f5674,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_175
| ~ spl21_325 ),
inference(duplicate_literal_removal,[],[f5673]) ).
tff(f5673,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_175
| ~ spl21_325 ),
inference(forward_demodulation,[],[f5527,f531]) ).
tff(f5527,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_17
| ~ spl21_70
| ~ spl21_175
| ~ spl21_325 ),
inference(forward_demodulation,[],[f1778,f5497]) ).
tff(f1778,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_175 ),
inference(resolution,[],[f1635,f834]) ).
tff(f1635,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK16))
| ~ spl21_175 ),
inference(avatar_component_clause,[],[f1633]) ).
tff(f5690,plain,
( spl21_524
| ~ spl21_172
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5597,f5519,f1610,f5688]) ).
tff(f5597,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_513 ),
inference(resolution,[],[f5520,f1611]) ).
tff(f5686,plain,
( spl21_523
| ~ spl21_171
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5596,f5519,f1595,f5684]) ).
tff(f5596,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK18),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_513 ),
inference(resolution,[],[f5520,f1596]) ).
tff(f5682,plain,
( spl21_522
| ~ spl21_170
| ~ spl21_513 ),
inference(avatar_split_clause,[],[f5595,f5519,f1580,f5680]) ).
tff(f5595,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK18)) )
| ~ spl21_170
| ~ spl21_513 ),
inference(resolution,[],[f5520,f1581]) ).
tff(f5678,plain,
( spl21_521
| spl21_15
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f5555,f2381,f581,f5676]) ).
tff(f5676,plain,
( spl21_521
<=> ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_521])]) ).
tff(f5555,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_236 ),
inference(resolution,[],[f583,f2382]) ).
tff(f5672,plain,
( ~ spl21_2
| ~ spl21_5
| spl21_229
| ~ spl21_497 ),
inference(avatar_split_clause,[],[f5546,f5204,f2283,f529,f514]) ).
tff(f5546,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| spl21_229
| ~ spl21_497 ),
inference(forward_demodulation,[],[f5545,f531]) ).
tff(f5545,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| spl21_229
| ~ spl21_497 ),
inference(forward_demodulation,[],[f2284,f5206]) ).
tff(f5671,plain,
( spl21_520
| spl21_15
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f5554,f2385,f581,f5669]) ).
tff(f5669,plain,
( spl21_520
<=> ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_520])]) ).
tff(f5554,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_237 ),
inference(resolution,[],[f583,f2386]) ).
tff(f5667,plain,
( spl21_519
| spl21_15
| ~ spl21_239 ),
inference(avatar_split_clause,[],[f5553,f2393,f581,f5665]) ).
tff(f5665,plain,
( spl21_519
<=> ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),X0)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_519])]) ).
tff(f5553,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),X0)
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_239 ),
inference(resolution,[],[f583,f2394]) ).
tff(f5663,plain,
( spl21_518
| ~ spl21_17
| ~ spl21_260 ),
inference(avatar_split_clause,[],[f5495,f2606,f594,f5661]) ).
tff(f5495,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_17
| ~ spl21_260 ),
inference(resolution,[],[f595,f2607]) ).
tff(f5659,plain,
( spl21_98
| spl21_1
| spl21_15
| ~ spl21_69
| ~ spl21_103
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f5657,f3170,f1055,f829,f581,f509,f997]) ).
tff(f5657,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_69
| ~ spl21_103
| ~ spl21_324 ),
inference(forward_demodulation,[],[f1183,f5561]) ).
tff(f1183,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))) )
| ~ spl21_69
| ~ spl21_103 ),
inference(duplicate_literal_removal,[],[f1182]) ).
tff(f1182,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))) )
| ~ spl21_69
| ~ spl21_103 ),
inference(resolution,[],[f1056,f830]) ).
tff(f1056,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| p(inj__o(X0)) )
| ~ spl21_103 ),
inference(avatar_component_clause,[],[f1055]) ).
tff(f5658,plain,
( spl21_98
| spl21_1
| spl21_15
| ~ spl21_18
| ~ spl21_109
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f5654,f3170,f1097,f607,f581,f509,f997]) ).
tff(f5654,plain,
( ! [X0: tp__o] :
( p(c_2Ebool_2EF)
| p(inj__o(X0)) )
| spl21_15
| ~ spl21_18
| ~ spl21_109
| ~ spl21_324 ),
inference(forward_demodulation,[],[f1913,f5561]) ).
tff(f1913,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))) )
| ~ spl21_18
| ~ spl21_109 ),
inference(resolution,[],[f1098,f608]) ).
tff(f1098,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| p(inj__o(X0)) )
| ~ spl21_109 ),
inference(avatar_component_clause,[],[f1097]) ).
tff(f5650,plain,
( spl21_15
| spl21_98
| ~ spl21_69
| ~ spl21_99 ),
inference(avatar_split_clause,[],[f1140,f1017,f829,f997,f581]) ).
tff(f1140,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))) )
| ~ spl21_69
| ~ spl21_99 ),
inference(duplicate_literal_removal,[],[f1139]) ).
tff(f1139,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| p(inj__o(X0)) )
| ~ spl21_69
| ~ spl21_99 ),
inference(resolution,[],[f1018,f830]) ).
tff(f1018,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),X0)
| p(inj__o(X0)) )
| ~ spl21_99 ),
inference(avatar_component_clause,[],[f1017]) ).
tff(f5629,plain,
( ~ spl21_2
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_185
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f5540,f3174,f1729,f833,f594,f529,f514]) ).
tff(f1729,plain,
( spl21_185
<=> sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_185])]) ).
tff(f5540,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_185
| ~ spl21_325 ),
inference(duplicate_literal_removal,[],[f5539]) ).
tff(f5539,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(c_2Ebool_2ET)
| ~ spl21_5
| ~ spl21_17
| ~ spl21_70
| ~ spl21_185
| ~ spl21_325 ),
inference(forward_demodulation,[],[f5379,f5497]) ).
tff(f5379,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_5
| ~ spl21_70
| ~ spl21_185 ),
inference(forward_demodulation,[],[f1871,f531]) ).
tff(f1871,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_70
| ~ spl21_185 ),
inference(resolution,[],[f1731,f834]) ).
tff(f1731,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET)
| ~ spl21_185 ),
inference(avatar_component_clause,[],[f1729]) ).
tff(f5628,plain,
( spl21_517
| spl21_15
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f5560,f1610,f581,f5625]) ).
tff(f5560,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_172 ),
inference(resolution,[],[f583,f1611]) ).
tff(f5623,plain,
( spl21_516
| spl21_15
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f5559,f1595,f581,f5620]) ).
tff(f5559,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16),fo__c_2Ebool_2ET)
| spl21_15
| ~ spl21_171 ),
inference(resolution,[],[f583,f1596]) ).
tff(f5618,plain,
( spl21_515
| spl21_15
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f5558,f1580,f581,f5615]) ).
tff(f5558,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16))
| spl21_15
| ~ spl21_170 ),
inference(resolution,[],[f583,f1581]) ).
tff(f5579,plain,
( spl21_514
| spl21_15
| ~ spl21_97 ),
inference(avatar_split_clause,[],[f5556,f979,f581,f5576]) ).
tff(f5556,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,fo__c_2Eextreal_2Eextreal__max(sK17,sK18))))
| spl21_15
| ~ spl21_97 ),
inference(resolution,[],[f583,f980]) ).
tff(f5547,plain,
( ~ spl21_15
| spl21_12
| ~ spl21_104
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f5398,f1081,f1065,f564,f581]) ).
tff(f5398,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| spl21_12
| ~ spl21_104
| ~ spl21_108 ),
inference(forward_demodulation,[],[f5397,f1082]) ).
tff(f5397,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK17,sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| spl21_12
| ~ spl21_104 ),
inference(forward_demodulation,[],[f565,f1066]) ).
tff(f565,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| spl21_12 ),
inference(avatar_component_clause,[],[f564]) ).
tff(f5528,plain,
( ~ spl21_2
| spl21_12
| ~ spl21_17
| ~ spl21_104
| ~ spl21_108
| ~ spl21_325
| ~ spl21_486 ),
inference(avatar_split_clause,[],[f5523,f5141,f3174,f1081,f1065,f594,f564,f514]) ).
tff(f5141,plain,
( spl21_486
<=> ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_486])]) ).
tff(f5523,plain,
( ~ p(c_2Ebool_2ET)
| spl21_12
| ~ spl21_17
| ~ spl21_104
| ~ spl21_108
| ~ spl21_325
| ~ spl21_486 ),
inference(forward_demodulation,[],[f5399,f5497]) ).
tff(f5399,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| spl21_12
| ~ spl21_104
| ~ spl21_108
| ~ spl21_486 ),
inference(forward_demodulation,[],[f5398,f5143]) ).
tff(f5143,plain,
( ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) )
| ~ spl21_486 ),
inference(avatar_component_clause,[],[f5141]) ).
tff(f5522,plain,
( ~ spl21_17
| ~ spl21_20
| ~ spl21_186 ),
inference(avatar_split_clause,[],[f1905,f1756,f616,f594]) ).
tff(f1905,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_20
| ~ spl21_186 ),
inference(resolution,[],[f1758,f617]) ).
tff(f1758,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET)
| ~ spl21_186 ),
inference(avatar_component_clause,[],[f1756]) ).
tff(f5521,plain,
( spl21_513
| ~ spl21_17
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1638,f1376,f594,f5519]) ).
tff(f1638,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK18)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_17
| ~ spl21_146 ),
inference(resolution,[],[f595,f1377]) ).
tff(f5509,plain,
( spl21_512
| ~ spl21_17
| ~ spl21_71 ),
inference(avatar_split_clause,[],[f1641,f840,f594,f5507]) ).
tff(f5507,plain,
( spl21_512
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_512])]) ).
tff(f1641,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),X0) )
| ~ spl21_17
| ~ spl21_71 ),
inference(resolution,[],[f595,f841]) ).
tff(f5505,plain,
( spl21_511
| ~ spl21_17
| ~ spl21_72 ),
inference(avatar_split_clause,[],[f1640,f844,f594,f5503]) ).
tff(f5503,plain,
( spl21_511
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_511])]) ).
tff(f1640,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| ~ spl21_17
| ~ spl21_72 ),
inference(resolution,[],[f595,f845]) ).
tff(f5501,plain,
( spl21_176
| ~ spl21_17
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f1639,f848,f594,f1643]) ).
tff(f1643,plain,
( spl21_176
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_176])]) ).
tff(f1639,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| ~ spl21_17
| ~ spl21_73 ),
inference(resolution,[],[f595,f849]) ).
tff(f5492,plain,
( spl21_1
| ~ spl21_6
| ~ spl21_16
| ~ spl21_108
| ~ spl21_386 ),
inference(avatar_split_clause,[],[f5454,f4027,f1081,f586,f534,f509]) ).
tff(f586,plain,
( spl21_16
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
tff(f5454,plain,
( p(c_2Ebool_2EF)
| ~ spl21_6
| ~ spl21_16
| ~ spl21_108
| ~ spl21_386 ),
inference(forward_demodulation,[],[f5453,f536]) ).
tff(f5453,plain,
( p(inj__o(fo__c_2Ebool_2EF))
| ~ spl21_16
| ~ spl21_108
| ~ spl21_386 ),
inference(forward_demodulation,[],[f5389,f4029]) ).
tff(f4029,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_386 ),
inference(avatar_component_clause,[],[f4027]) ).
tff(f5389,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_16
| ~ spl21_108 ),
inference(forward_demodulation,[],[f588,f1082]) ).
tff(f588,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f586]) ).
tff(f5444,plain,
( spl21_1
| ~ spl21_16
| ~ spl21_108
| ~ spl21_359 ),
inference(avatar_split_clause,[],[f5390,f3767,f1081,f586,f509]) ).
tff(f3767,plain,
( spl21_359
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_359])]) ).
tff(f5390,plain,
( p(c_2Ebool_2EF)
| ~ spl21_16
| ~ spl21_108
| ~ spl21_359 ),
inference(forward_demodulation,[],[f5389,f3769]) ).
tff(f3769,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| ~ spl21_359 ),
inference(avatar_component_clause,[],[f3767]) ).
tff(f5439,plain,
( spl21_1
| ~ spl21_154
| ~ spl21_162
| ~ spl21_359
| ~ spl21_486 ),
inference(avatar_split_clause,[],[f5359,f5141,f3767,f1527,f1425,f509]) ).
tff(f5359,plain,
( p(c_2Ebool_2EF)
| ~ spl21_154
| ~ spl21_162
| ~ spl21_359
| ~ spl21_486 ),
inference(forward_demodulation,[],[f5358,f3769]) ).
tff(f5358,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_154
| ~ spl21_162
| ~ spl21_486 ),
inference(forward_demodulation,[],[f3063,f5143]) ).
tff(f5438,plain,
( spl21_510
| ~ spl21_76
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2320,f2194,f891,f5436]) ).
tff(f5436,plain,
( spl21_510
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,X1)
| ( ap(k(arr(X1,bool),X2),ap(c_2Emin_2E_3D(X1),X0)) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_510])]) ).
tff(f2320,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,X1)
| ( ap(k(arr(X1,bool),X2),ap(c_2Emin_2E_3D(X1),X0)) = X2 ) )
| ~ spl21_76
| ~ spl21_227 ),
inference(resolution,[],[f2195,f892]) ).
tff(f5434,plain,
( spl21_509
| ~ spl21_68
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2108,f2024,f825,f5432]) ).
tff(f5432,plain,
( spl21_509
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = ap(i(arr(ty_2Eextreal_2Eextreal,bool)),ap(c_2Eextreal_2Eextreal__le,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_509])]) ).
tff(f2108,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__le,X0) = ap(i(arr(ty_2Eextreal_2Eextreal,bool)),ap(c_2Eextreal_2Eextreal__le,X0)) ) )
| ~ spl21_68
| ~ spl21_201 ),
inference(resolution,[],[f2025,f826]) ).
tff(f5430,plain,
( spl21_508
| ~ spl21_68
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2101,f2020,f825,f5428]) ).
tff(f5428,plain,
( spl21_508
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = ap(i(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),ap(c_2Eextreal_2Eextreal__max,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_508])]) ).
tff(f2101,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(c_2Eextreal_2Eextreal__max,X0) = ap(i(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),ap(c_2Eextreal_2Eextreal__max,X0)) ) )
| ~ spl21_68
| ~ spl21_200 ),
inference(resolution,[],[f2021,f826]) ).
tff(f5425,plain,
( spl21_507
| ~ spl21_68
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2095,f2016,f825,f5423]) ).
tff(f5423,plain,
( spl21_507
<=> ! [X0] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_507])]) ).
tff(f2095,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_2F_5C,X0) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,X0)) ) )
| ~ spl21_68
| ~ spl21_199 ),
inference(resolution,[],[f2017,f826]) ).
tff(f5420,plain,
( spl21_506
| ~ spl21_68
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2088,f2012,f825,f5418]) ).
tff(f5418,plain,
( spl21_506
<=> ! [X0] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_5C_2F,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_506])]) ).
tff(f2088,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_5C_2F,X0) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_5C_2F,X0)) ) )
| ~ spl21_68
| ~ spl21_198 ),
inference(resolution,[],[f2013,f826]) ).
tff(f5416,plain,
( spl21_505
| ~ spl21_68
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2077,f2008,f825,f5414]) ).
tff(f5414,plain,
( spl21_505
<=> ! [X0] :
( ~ mem(X0,bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_505])]) ).
tff(f2077,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Emin_2E_3D_3D_3E,X0) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,X0)) ) )
| ~ spl21_68
| ~ spl21_197 ),
inference(resolution,[],[f2009,f826]) ).
tff(f5412,plain,
( spl21_504
| ~ spl21_146
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1615,f1610,f1376,f5410]) ).
tff(f1615,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_146
| ~ spl21_172 ),
inference(resolution,[],[f1611,f1377]) ).
tff(f5408,plain,
( spl21_503
| ~ spl21_146
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1600,f1595,f1376,f5406]) ).
tff(f1600,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),fo__c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_146
| ~ spl21_171 ),
inference(resolution,[],[f1596,f1377]) ).
tff(f5404,plain,
( spl21_502
| ~ spl21_146
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1585,f1580,f1376,f5402]) ).
tff(f1585,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,X1))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_146
| ~ spl21_170 ),
inference(resolution,[],[f1581,f1377]) ).
tff(f5343,plain,
( spl21_1
| ~ spl21_15
| ~ spl21_359
| ~ spl21_486 ),
inference(avatar_split_clause,[],[f5308,f5141,f3767,f581,f509]) ).
tff(f5308,plain,
( p(c_2Ebool_2EF)
| ~ spl21_15
| ~ spl21_359
| ~ spl21_486 ),
inference(forward_demodulation,[],[f5299,f3769]) ).
tff(f5299,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_15
| ~ spl21_486 ),
inference(superposition,[],[f582,f5143]) ).
tff(f5230,plain,
( spl21_501
| ~ spl21_25
| ~ spl21_297 ),
inference(avatar_split_clause,[],[f2934,f2891,f640,f5227]) ).
tff(f5227,plain,
( spl21_501
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_501])]) ).
tff(f2934,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) )
| ~ spl21_25
| ~ spl21_297 ),
inference(resolution,[],[f2892,f642]) ).
tff(f5225,plain,
( spl21_500
| ~ spl21_24
| ~ spl21_296 ),
inference(avatar_split_clause,[],[f2932,f2887,f635,f5222]) ).
tff(f5222,plain,
( spl21_500
<=> ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_500])]) ).
tff(f635,plain,
( spl21_24
<=> mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
tff(f2932,plain,
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) )
| ~ spl21_24
| ~ spl21_296 ),
inference(resolution,[],[f2888,f637]) ).
tff(f637,plain,
( mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f635]) ).
tff(f5219,plain,
( spl21_499
| ~ spl21_21
| ~ spl21_295 ),
inference(avatar_split_clause,[],[f2929,f2883,f620,f5216]) ).
tff(f5216,plain,
( spl21_499
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_499])]) ).
tff(f2929,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Ebool_2E_2F_5C) )
| ~ spl21_21
| ~ spl21_295 ),
inference(resolution,[],[f2884,f622]) ).
tff(f5212,plain,
( spl21_498
| ~ spl21_23
| ~ spl21_295 ),
inference(avatar_split_clause,[],[f2928,f2883,f630,f5209]) ).
tff(f5209,plain,
( spl21_498
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_498])]) ).
tff(f2928,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Ebool_2E_2F_5C) )
| ~ spl21_23
| ~ spl21_295 ),
inference(resolution,[],[f2884,f632]) ).
tff(f5207,plain,
( spl21_497
| ~ spl21_10
| ~ spl21_19
| ~ spl21_455 ),
inference(avatar_split_clause,[],[f5047,f4878,f611,f554,f5204]) ).
tff(f4878,plain,
( spl21_455
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_455])]) ).
tff(f5047,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_10
| ~ spl21_19
| ~ spl21_455 ),
inference(forward_demodulation,[],[f4992,f613]) ).
tff(f4992,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Eextreal_2Eextreal__le(sK17,sK18) )
| ~ spl21_10
| ~ spl21_455 ),
inference(superposition,[],[f555,f4880]) ).
tff(f4880,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| ~ spl21_455 ),
inference(avatar_component_clause,[],[f4878]) ).
tff(f5201,plain,
( spl21_496
| ~ spl21_22
| ~ spl21_295 ),
inference(avatar_split_clause,[],[f2927,f2883,f625,f5198]) ).
tff(f5198,plain,
( spl21_496
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_496])]) ).
tff(f2927,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_2F_5C) )
| ~ spl21_22
| ~ spl21_295 ),
inference(resolution,[],[f2884,f627]) ).
tff(f5194,plain,
( spl21_495
| ~ spl21_21
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f2924,f2879,f620,f5191]) ).
tff(f5191,plain,
( spl21_495
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_495])]) ).
tff(f2924,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Ebool_2E_5C_2F) )
| ~ spl21_21
| ~ spl21_294 ),
inference(resolution,[],[f2880,f622]) ).
tff(f5188,plain,
( spl21_494
| ~ spl21_23
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f2923,f2879,f630,f5185]) ).
tff(f5185,plain,
( spl21_494
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_494])]) ).
tff(f2923,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Ebool_2E_5C_2F) )
| ~ spl21_23
| ~ spl21_294 ),
inference(resolution,[],[f2880,f632]) ).
tff(f5182,plain,
( spl21_493
| ~ spl21_22
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f2922,f2879,f625,f5179]) ).
tff(f5179,plain,
( spl21_493
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_493])]) ).
tff(f2922,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_5C_2F) )
| ~ spl21_22
| ~ spl21_294 ),
inference(resolution,[],[f2880,f627]) ).
tff(f5176,plain,
( spl21_492
| ~ spl21_21
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f2919,f2875,f620,f5173]) ).
tff(f5173,plain,
( spl21_492
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_492])]) ).
tff(f2919,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_21
| ~ spl21_293 ),
inference(resolution,[],[f2876,f622]) ).
tff(f5170,plain,
( spl21_491
| ~ spl21_23
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f2918,f2875,f630,f5167]) ).
tff(f5167,plain,
( spl21_491
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_491])]) ).
tff(f2918,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_23
| ~ spl21_293 ),
inference(resolution,[],[f2876,f632]) ).
tff(f5165,plain,
( spl21_490
| ~ spl21_22
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f2917,f2875,f625,f5162]) ).
tff(f5162,plain,
( spl21_490
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_490])]) ).
tff(f2917,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_22
| ~ spl21_293 ),
inference(resolution,[],[f2876,f627]) ).
tff(f5160,plain,
( spl21_489
| ~ spl21_25
| ~ spl21_292 ),
inference(avatar_split_clause,[],[f2915,f2871,f640,f5157]) ).
tff(f5157,plain,
( spl21_489
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_489])]) ).
tff(f2915,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) )
| ~ spl21_25
| ~ spl21_292 ),
inference(resolution,[],[f2872,f642]) ).
tff(f5155,plain,
( spl21_488
| ~ spl21_24
| ~ spl21_291 ),
inference(avatar_split_clause,[],[f2913,f2867,f635,f5152]) ).
tff(f5152,plain,
( spl21_488
<=> ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_488])]) ).
tff(f2913,plain,
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) )
| ~ spl21_24
| ~ spl21_291 ),
inference(resolution,[],[f2868,f637]) ).
tff(f5149,plain,
( spl21_487
| ~ spl21_21
| ~ spl21_290 ),
inference(avatar_split_clause,[],[f2910,f2863,f620,f5146]) ).
tff(f5146,plain,
( spl21_487
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_487])]) ).
tff(f2910,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Ebool_2E_2F_5C) )
| ~ spl21_21
| ~ spl21_290 ),
inference(resolution,[],[f2864,f622]) ).
tff(f5144,plain,
( spl21_486
| ~ spl21_11
| ~ spl21_156
| ~ spl21_452
| ~ spl21_455 ),
inference(avatar_split_clause,[],[f5046,f4878,f4743,f1479,f558,f5141]) ).
tff(f5046,plain,
( ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK17,sK18) )
| ~ spl21_11
| ~ spl21_156
| ~ spl21_452
| ~ spl21_455 ),
inference(forward_demodulation,[],[f5045,f559]) ).
tff(f5045,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK18) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK18)) )
| ~ spl21_156
| ~ spl21_452
| ~ spl21_455 ),
inference(forward_demodulation,[],[f4986,f4744]) ).
tff(f4986,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK18) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK17))) )
| ~ spl21_156
| ~ spl21_455 ),
inference(superposition,[],[f1480,f4880]) ).
tff(f5137,plain,
( spl21_485
| ~ spl21_23
| ~ spl21_290 ),
inference(avatar_split_clause,[],[f2909,f2863,f630,f5134]) ).
tff(f5134,plain,
( spl21_485
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_485])]) ).
tff(f2909,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Ebool_2E_2F_5C) )
| ~ spl21_23
| ~ spl21_290 ),
inference(resolution,[],[f2864,f632]) ).
tff(f5131,plain,
( spl21_484
| ~ spl21_22
| ~ spl21_290 ),
inference(avatar_split_clause,[],[f2908,f2863,f625,f5128]) ).
tff(f5128,plain,
( spl21_484
<=> ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_484])]) ).
tff(f2908,plain,
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_2F_5C) )
| ~ spl21_22
| ~ spl21_290 ),
inference(resolution,[],[f2864,f627]) ).
tff(f5124,plain,
( spl21_483
| ~ spl21_21
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2905,f2859,f620,f5121]) ).
tff(f5121,plain,
( spl21_483
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_483])]) ).
tff(f2905,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Ebool_2E_5C_2F) )
| ~ spl21_21
| ~ spl21_289 ),
inference(resolution,[],[f2860,f622]) ).
tff(f5118,plain,
( spl21_482
| ~ spl21_23
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2904,f2859,f630,f5115]) ).
tff(f5115,plain,
( spl21_482
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_482])]) ).
tff(f2904,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Ebool_2E_5C_2F) )
| ~ spl21_23
| ~ spl21_289 ),
inference(resolution,[],[f2860,f632]) ).
tff(f5112,plain,
( spl21_481
| ~ spl21_22
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2903,f2859,f625,f5109]) ).
tff(f5109,plain,
( spl21_481
<=> ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_481])]) ).
tff(f2903,plain,
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Ebool_2E_5C_2F) )
| ~ spl21_22
| ~ spl21_289 ),
inference(resolution,[],[f2860,f627]) ).
tff(f5106,plain,
( spl21_480
| ~ spl21_21
| ~ spl21_288 ),
inference(avatar_split_clause,[],[f2900,f2855,f620,f5103]) ).
tff(f5103,plain,
( spl21_480
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_480])]) ).
tff(f2900,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_2F_5C),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_21
| ~ spl21_288 ),
inference(resolution,[],[f2856,f622]) ).
tff(f5100,plain,
( spl21_479
| ~ spl21_23
| ~ spl21_288 ),
inference(avatar_split_clause,[],[f2899,f2855,f630,f5097]) ).
tff(f5097,plain,
( spl21_479
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_479])]) ).
tff(f2899,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Ebool_2E_5C_2F),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_23
| ~ spl21_288 ),
inference(resolution,[],[f2856,f632]) ).
tff(f5095,plain,
( spl21_478
| ~ spl21_22
| ~ spl21_288 ),
inference(avatar_split_clause,[],[f2898,f2855,f625,f5092]) ).
tff(f5092,plain,
( spl21_478
<=> ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_478])]) ).
tff(f2898,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),c_2Emin_2E_3D_3D_3E),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_22
| ~ spl21_288 ),
inference(resolution,[],[f2856,f627]) ).
tff(f5090,plain,
( spl21_477
| ~ spl21_41
| ~ spl21_281 ),
inference(avatar_split_clause,[],[f2799,f2774,f706,f5088]) ).
tff(f5088,plain,
( spl21_477
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1))
| ~ sP11(X2,X1,X0)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_477])]) ).
tff(f706,plain,
( spl21_41
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).
tff(f2774,plain,
( spl21_281
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP15(X1,X0,X2)
| ~ sP12(X0,X2,X1)
| ~ sP11(X2,X0,X1)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_281])]) ).
tff(f2799,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1))
| ~ sP11(X2,X1,X0)
| p(inj__o(X2)) )
| ~ spl21_41
| ~ spl21_281 ),
inference(duplicate_literal_removal,[],[f2795]) ).
tff(f2795,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1))
| ~ sP11(X2,X1,X0)
| p(inj__o(X2))
| p(inj__o(X1)) )
| ~ spl21_41
| ~ spl21_281 ),
inference(resolution,[],[f2775,f707]) ).
tff(f707,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X0)) )
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f706]) ).
tff(f2775,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP12(X0,X2,X1)
| sP15(X1,X0,X2)
| p(inj__o(X0))
| ~ sP11(X2,X0,X1)
| p(inj__o(X2)) )
| ~ spl21_281 ),
inference(avatar_component_clause,[],[f2774]) ).
tff(f5086,plain,
( spl21_476
| ~ spl21_40
| ~ spl21_264 ),
inference(avatar_split_clause,[],[f2648,f2622,f702,f5084]) ).
tff(f5084,plain,
( spl21_476
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP11(X2,X1,X0)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_476])]) ).
tff(f702,plain,
( spl21_40
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
tff(f2622,plain,
( spl21_264
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_264])]) ).
tff(f2648,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP11(X2,X1,X0)
| p(inj__o(X2)) )
| ~ spl21_40
| ~ spl21_264 ),
inference(resolution,[],[f2623,f703]) ).
tff(f703,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X1)) )
| ~ spl21_40 ),
inference(avatar_component_clause,[],[f702]) ).
tff(f2623,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP12(X1,X2,X0)
| sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP11(X2,X1,X0) )
| ~ spl21_264 ),
inference(avatar_component_clause,[],[f2622]) ).
tff(f4980,plain,
( spl21_475
| ~ spl21_41
| ~ spl21_264 ),
inference(avatar_split_clause,[],[f2647,f2622,f706,f4978]) ).
tff(f4978,plain,
( spl21_475
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP11(X2,X1,X0)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_475])]) ).
tff(f2647,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP11(X2,X1,X0)
| p(inj__o(X1)) )
| ~ spl21_41
| ~ spl21_264 ),
inference(resolution,[],[f2623,f707]) ).
tff(f4976,plain,
( spl21_474
| ~ spl21_112
| ~ spl21_227 ),
inference(avatar_split_clause,[],[f2317,f2194,f1115,f4974]) ).
tff(f4974,plain,
( spl21_474
<=> ! [X2,X0,X1: del] :
( ~ mem(X0,X1)
| ~ mem(X2,X1)
| mem(ap(ap(c_2Emin_2E_3D(X1),X0),X2),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_474])]) ).
tff(f2317,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ mem(X0,X1)
| ~ mem(X2,X1)
| mem(ap(ap(c_2Emin_2E_3D(X1),X0),X2),bool) )
| ~ spl21_112
| ~ spl21_227 ),
inference(resolution,[],[f2195,f1116]) ).
tff(f4972,plain,
( spl21_473
| ~ spl21_76
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2107,f2024,f891,f4970]) ).
tff(f4970,plain,
( spl21_473
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(k(arr(ty_2Eextreal_2Eextreal,bool),X1),ap(c_2Eextreal_2Eextreal__le,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_473])]) ).
tff(f2107,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(k(arr(ty_2Eextreal_2Eextreal,bool),X1),ap(c_2Eextreal_2Eextreal__le,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_201 ),
inference(resolution,[],[f2025,f892]) ).
tff(f4968,plain,
( spl21_472
| ~ spl21_76
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2100,f2020,f891,f4966]) ).
tff(f4966,plain,
( spl21_472
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(k(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal),X1),ap(c_2Eextreal_2Eextreal__max,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_472])]) ).
tff(f2100,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(k(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal),X1),ap(c_2Eextreal_2Eextreal__max,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_200 ),
inference(resolution,[],[f2021,f892]) ).
tff(f4963,plain,
( spl21_471
| ~ spl21_76
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2094,f2016,f891,f4961]) ).
tff(f4961,plain,
( spl21_471
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_471])]) ).
tff(f2094,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_199 ),
inference(resolution,[],[f2017,f892]) ).
tff(f4958,plain,
( spl21_470
| ~ spl21_76
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2087,f2012,f891,f4956]) ).
tff(f4956,plain,
( spl21_470
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_5C_2F,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_470])]) ).
tff(f2087,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_5C_2F,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_198 ),
inference(resolution,[],[f2013,f892]) ).
tff(f4954,plain,
( spl21_469
| ~ spl21_76
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2076,f2008,f891,f4952]) ).
tff(f4952,plain,
( spl21_469
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_469])]) ).
tff(f2076,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_197 ),
inference(resolution,[],[f2009,f892]) ).
tff(f4948,plain,
( spl21_468
| ~ spl21_65
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1551,f1077,f812,f4946]) ).
tff(f4946,plain,
( spl21_468
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_468])]) ).
tff(f812,plain,
( spl21_65
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).
tff(f1551,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_107 ),
inference(superposition,[],[f1078,f814]) ).
tff(f814,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl21_65 ),
inference(avatar_component_clause,[],[f812]) ).
tff(f4942,plain,
( spl21_467
| ~ spl21_65
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1550,f1077,f812,f4940]) ).
tff(f4940,plain,
( spl21_467
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_467])]) ).
tff(f1550,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) )
| ~ spl21_65
| ~ spl21_107 ),
inference(superposition,[],[f1078,f814]) ).
tff(f4936,plain,
( spl21_466
| ~ spl21_65
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1549,f1073,f812,f4934]) ).
tff(f4934,plain,
( spl21_466
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_466])]) ).
tff(f1073,plain,
( spl21_106
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_106])]) ).
tff(f1549,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_106 ),
inference(superposition,[],[f1074,f814]) ).
tff(f1074,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) )
| ~ spl21_106 ),
inference(avatar_component_clause,[],[f1073]) ).
tff(f4932,plain,
( spl21_465
| ~ spl21_282
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3223,f3174,f2801,f4929]) ).
tff(f3223,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)) )
| ~ spl21_282
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2803]) ).
tff(f2803,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18)))
| ~ spl21_282 ),
inference(avatar_component_clause,[],[f2801]) ).
tff(f4925,plain,
( spl21_464
| ~ spl21_65
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1548,f1073,f812,f4923]) ).
tff(f4923,plain,
( spl21_464
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_464])]) ).
tff(f1548,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) )
| ~ spl21_65
| ~ spl21_106 ),
inference(superposition,[],[f1074,f814]) ).
tff(f4921,plain,
( spl21_463
| ~ spl21_65
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1547,f1069,f812,f4919]) ).
tff(f4919,plain,
( spl21_463
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_463])]) ).
tff(f1547,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_105 ),
inference(superposition,[],[f1070,f814]) ).
tff(f4917,plain,
( spl21_462
| ~ spl21_65
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1546,f1069,f812,f4915]) ).
tff(f4915,plain,
( spl21_462
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_462])]) ).
tff(f1546,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),inj__o(X0)) )
| ~ spl21_65
| ~ spl21_105 ),
inference(superposition,[],[f1070,f814]) ).
tff(f4911,plain,
( spl21_461
| ~ spl21_64
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1105,f1077,f802,f4909]) ).
tff(f4909,plain,
( spl21_461
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_461])]) ).
tff(f802,plain,
( spl21_64
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_64])]) ).
tff(f1105,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_107 ),
inference(superposition,[],[f1078,f804]) ).
tff(f804,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl21_64 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f4905,plain,
( spl21_460
| ~ spl21_64
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1102,f1077,f802,f4903]) ).
tff(f4903,plain,
( spl21_460
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_460])]) ).
tff(f1102,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) )
| ~ spl21_64
| ~ spl21_107 ),
inference(superposition,[],[f1078,f804]) ).
tff(f4899,plain,
( spl21_459
| ~ spl21_64
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1095,f1073,f802,f4897]) ).
tff(f4897,plain,
( spl21_459
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_459])]) ).
tff(f1095,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_106 ),
inference(superposition,[],[f1074,f804]) ).
tff(f4893,plain,
( spl21_458
| ~ spl21_64
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1092,f1073,f802,f4891]) ).
tff(f4891,plain,
( spl21_458
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_458])]) ).
tff(f1092,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) )
| ~ spl21_64
| ~ spl21_106 ),
inference(superposition,[],[f1074,f804]) ).
tff(f4889,plain,
( spl21_457
| ~ spl21_64
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1089,f1069,f802,f4887]) ).
tff(f4887,plain,
( spl21_457
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_457])]) ).
tff(f1089,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_105 ),
inference(superposition,[],[f1070,f804]) ).
tff(f4885,plain,
( spl21_456
| ~ spl21_64
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1086,f1069,f802,f4883]) ).
tff(f4883,plain,
( spl21_456
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_456])]) ).
tff(f1086,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),inj__o(X0)) )
| ~ spl21_64
| ~ spl21_105 ),
inference(superposition,[],[f1070,f804]) ).
tff(f4881,plain,
( spl21_455
| ~ spl21_229
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3222,f3174,f2283,f4878]) ).
tff(f3222,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| ~ spl21_229
| ~ spl21_325 ),
inference(resolution,[],[f3175,f2285]) ).
tff(f4753,plain,
( spl21_454
| ~ spl21_7
| ~ spl21_263 ),
inference(avatar_split_clause,[],[f2646,f2618,f539,f4751]) ).
tff(f539,plain,
( spl21_7
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
tff(f2618,plain,
( spl21_263
<=> ! [X0,X1: tp__ty_2Eextreal_2Eextreal] :
( ( inj__ty_2Eextreal_2Eextreal(X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_263])]) ).
tff(f2646,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) )
| ~ spl21_7
| ~ spl21_263 ),
inference(resolution,[],[f2619,f540]) ).
tff(f540,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f539]) ).
tff(f2619,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( inj__ty_2Eextreal_2Eextreal(X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),inj__ty_2Eextreal_2Eextreal(X1)) ) )
| ~ spl21_263 ),
inference(avatar_component_clause,[],[f2618]) ).
tff(f4749,plain,
( spl21_453
| ~ spl21_8
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2642,f2610,f543,f4747]) ).
tff(f4747,plain,
( spl21_453
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X1)),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_453])]) ).
tff(f2642,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X1)),inj__o(X0)) )
| ~ spl21_8
| ~ spl21_261 ),
inference(resolution,[],[f2611,f544]) ).
tff(f4745,plain,
( spl21_452
| ~ spl21_7
| ~ spl21_258 ),
inference(avatar_split_clause,[],[f2589,f2576,f539,f4743]) ).
tff(f2576,plain,
( spl21_258
<=> ! [X0,X1: tp__ty_2Eextreal_2Eextreal] :
( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),inj__ty_2Eextreal_2Eextreal(X1)) = X0 )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_258])]) ).
tff(f2589,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ spl21_7
| ~ spl21_258 ),
inference(resolution,[],[f2577,f540]) ).
tff(f2577,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),inj__ty_2Eextreal_2Eextreal(X1)) = X0 ) )
| ~ spl21_258 ),
inference(avatar_component_clause,[],[f2576]) ).
tff(f4741,plain,
( spl21_451
| ~ spl21_8
| ~ spl21_257 ),
inference(avatar_split_clause,[],[f2586,f2572,f543,f4739]) ).
tff(f4739,plain,
( spl21_451
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_451])]) ).
tff(f2586,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),inj__o(X1)) )
| ~ spl21_8
| ~ spl21_257 ),
inference(resolution,[],[f2573,f544]) ).
tff(f4735,plain,
( spl21_450
| ~ spl21_65
| ~ spl21_226 ),
inference(avatar_split_clause,[],[f2311,f2190,f812,f4732]) ).
tff(f4732,plain,
( spl21_450
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_450])]) ).
tff(f2311,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) )
| ~ spl21_65
| ~ spl21_226 ),
inference(superposition,[],[f2191,f814]) ).
tff(f4730,plain,
( ~ spl21_449
| spl21_178
| ~ spl21_419 ),
inference(avatar_split_clause,[],[f4629,f4521,f1673,f4727]) ).
tff(f4727,plain,
( spl21_449
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_449])]) ).
tff(f4629,plain,
( ~ sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)
| spl21_178
| ~ spl21_419 ),
inference(superposition,[],[f1674,f4523]) ).
tff(f1674,plain,
( ~ sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK16))
| spl21_178 ),
inference(avatar_component_clause,[],[f1673]) ).
tff(f4723,plain,
( spl21_448
| ~ spl21_64
| ~ spl21_226 ),
inference(avatar_split_clause,[],[f2310,f2190,f802,f4720]) ).
tff(f4720,plain,
( spl21_448
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_448])]) ).
tff(f2310,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) )
| ~ spl21_64
| ~ spl21_226 ),
inference(superposition,[],[f2191,f804]) ).
tff(f4716,plain,
( spl21_447
| ~ spl21_65
| ~ spl21_225 ),
inference(avatar_split_clause,[],[f2304,f2186,f812,f4713]) ).
tff(f4713,plain,
( spl21_447
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_447])]) ).
tff(f2304,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) )
| ~ spl21_65
| ~ spl21_225 ),
inference(superposition,[],[f2187,f814]) ).
tff(f4709,plain,
( spl21_446
| ~ spl21_64
| ~ spl21_225 ),
inference(avatar_split_clause,[],[f2303,f2186,f802,f4706]) ).
tff(f4706,plain,
( spl21_446
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_446])]) ).
tff(f2303,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) )
| ~ spl21_64
| ~ spl21_225 ),
inference(superposition,[],[f2187,f804]) ).
tff(f4702,plain,
( spl21_445
| ~ spl21_65
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f2297,f2182,f812,f4699]) ).
tff(f4699,plain,
( spl21_445
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_445])]) ).
tff(f2297,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_224 ),
inference(superposition,[],[f2183,f814]) ).
tff(f4695,plain,
( spl21_444
| ~ spl21_64
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f2296,f2182,f802,f4692]) ).
tff(f4692,plain,
( spl21_444
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_444])]) ).
tff(f2296,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_224 ),
inference(superposition,[],[f2183,f804]) ).
tff(f4688,plain,
( spl21_443
| ~ spl21_65
| ~ spl21_222 ),
inference(avatar_split_clause,[],[f2290,f2174,f812,f4685]) ).
tff(f4685,plain,
( spl21_443
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_443])]) ).
tff(f2290,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_222 ),
inference(superposition,[],[f2175,f814]) ).
tff(f4681,plain,
( spl21_442
| ~ spl21_64
| ~ spl21_222 ),
inference(avatar_split_clause,[],[f2289,f2174,f802,f4678]) ).
tff(f4678,plain,
( spl21_442
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_442])]) ).
tff(f2289,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_222 ),
inference(superposition,[],[f2175,f804]) ).
tff(f4674,plain,
( spl21_441
| ~ spl21_65
| ~ spl21_221 ),
inference(avatar_split_clause,[],[f2278,f2170,f812,f4671]) ).
tff(f4671,plain,
( spl21_441
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_441])]) ).
tff(f2170,plain,
( spl21_221
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_221])]) ).
tff(f2278,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) )
| ~ spl21_65
| ~ spl21_221 ),
inference(superposition,[],[f2171,f814]) ).
tff(f2171,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_221 ),
inference(avatar_component_clause,[],[f2170]) ).
tff(f4667,plain,
( spl21_440
| ~ spl21_64
| ~ spl21_221 ),
inference(avatar_split_clause,[],[f2277,f2170,f802,f4664]) ).
tff(f4664,plain,
( spl21_440
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_440])]) ).
tff(f2277,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) )
| ~ spl21_64
| ~ spl21_221 ),
inference(superposition,[],[f2171,f804]) ).
tff(f4660,plain,
( spl21_439
| ~ spl21_65
| ~ spl21_220 ),
inference(avatar_split_clause,[],[f2271,f2166,f812,f4657]) ).
tff(f4657,plain,
( spl21_439
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_439])]) ).
tff(f2166,plain,
( spl21_220
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_220])]) ).
tff(f2271,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) )
| ~ spl21_65
| ~ spl21_220 ),
inference(superposition,[],[f2167,f814]) ).
tff(f2167,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_220 ),
inference(avatar_component_clause,[],[f2166]) ).
tff(f4623,plain,
( spl21_438
| ~ spl21_64
| ~ spl21_220 ),
inference(avatar_split_clause,[],[f2270,f2166,f802,f4620]) ).
tff(f4620,plain,
( spl21_438
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_438])]) ).
tff(f2270,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) )
| ~ spl21_64
| ~ spl21_220 ),
inference(superposition,[],[f2167,f804]) ).
tff(f4616,plain,
( spl21_437
| ~ spl21_65
| ~ spl21_219 ),
inference(avatar_split_clause,[],[f2264,f2162,f812,f4613]) ).
tff(f4613,plain,
( spl21_437
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_437])]) ).
tff(f2162,plain,
( spl21_219
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_219])]) ).
tff(f2264,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_219 ),
inference(superposition,[],[f2163,f814]) ).
tff(f2163,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_219 ),
inference(avatar_component_clause,[],[f2162]) ).
tff(f4609,plain,
( spl21_436
| ~ spl21_64
| ~ spl21_219 ),
inference(avatar_split_clause,[],[f2263,f2162,f802,f4606]) ).
tff(f4606,plain,
( spl21_436
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_436])]) ).
tff(f2263,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_219 ),
inference(superposition,[],[f2163,f804]) ).
tff(f4602,plain,
( spl21_435
| ~ spl21_65
| ~ spl21_218 ),
inference(avatar_split_clause,[],[f2257,f2158,f812,f4599]) ).
tff(f4599,plain,
( spl21_435
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_435])]) ).
tff(f2158,plain,
( spl21_218
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_218])]) ).
tff(f2257,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_218 ),
inference(superposition,[],[f2159,f814]) ).
tff(f2159,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_218 ),
inference(avatar_component_clause,[],[f2158]) ).
tff(f4595,plain,
( spl21_434
| ~ spl21_64
| ~ spl21_218 ),
inference(avatar_split_clause,[],[f2256,f2158,f802,f4592]) ).
tff(f4592,plain,
( spl21_434
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_434])]) ).
tff(f2256,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_218 ),
inference(superposition,[],[f2159,f804]) ).
tff(f4590,plain,
( spl21_433
| ~ spl21_65
| ~ spl21_217 ),
inference(avatar_split_clause,[],[f2250,f2154,f812,f4587]) ).
tff(f4587,plain,
( spl21_433
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_433])]) ).
tff(f2154,plain,
( spl21_217
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_217])]) ).
tff(f2250,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2EF) )
| ~ spl21_65
| ~ spl21_217 ),
inference(superposition,[],[f2155,f814]) ).
tff(f2155,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_217 ),
inference(avatar_component_clause,[],[f2154]) ).
tff(f4585,plain,
( spl21_432
| ~ spl21_64
| ~ spl21_217 ),
inference(avatar_split_clause,[],[f2249,f2154,f802,f4582]) ).
tff(f4582,plain,
( spl21_432
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_432])]) ).
tff(f2249,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2EF) )
| ~ spl21_64
| ~ spl21_217 ),
inference(superposition,[],[f2155,f804]) ).
tff(f4580,plain,
( spl21_431
| ~ spl21_65
| ~ spl21_216 ),
inference(avatar_split_clause,[],[f2243,f2150,f812,f4577]) ).
tff(f4577,plain,
( spl21_431
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_431])]) ).
tff(f2243,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),c_2Ebool_2ET) )
| ~ spl21_65
| ~ spl21_216 ),
inference(superposition,[],[f2151,f814]) ).
tff(f4575,plain,
( spl21_430
| ~ spl21_64
| ~ spl21_216 ),
inference(avatar_split_clause,[],[f2242,f2150,f802,f4572]) ).
tff(f4572,plain,
( spl21_430
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_430])]) ).
tff(f2242,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),c_2Ebool_2ET) )
| ~ spl21_64
| ~ spl21_216 ),
inference(superposition,[],[f2151,f804]) ).
tff(f4570,plain,
( spl21_429
| ~ spl21_65
| ~ spl21_215 ),
inference(avatar_split_clause,[],[f2236,f2146,f812,f4567]) ).
tff(f4567,plain,
( spl21_429
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_429])]) ).
tff(f2236,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_215 ),
inference(superposition,[],[f2147,f814]) ).
tff(f4565,plain,
( spl21_428
| ~ spl21_64
| ~ spl21_215 ),
inference(avatar_split_clause,[],[f2235,f2146,f802,f4562]) ).
tff(f4562,plain,
( spl21_428
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_428])]) ).
tff(f2235,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_215 ),
inference(superposition,[],[f2147,f804]) ).
tff(f4560,plain,
( spl21_427
| ~ spl21_65
| ~ spl21_214 ),
inference(avatar_split_clause,[],[f2229,f2142,f812,f4557]) ).
tff(f4557,plain,
( spl21_427
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_427])]) ).
tff(f2142,plain,
( spl21_214
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_214])]) ).
tff(f2229,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_214 ),
inference(superposition,[],[f2143,f814]) ).
tff(f2143,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_214 ),
inference(avatar_component_clause,[],[f2142]) ).
tff(f4555,plain,
( spl21_426
| ~ spl21_64
| ~ spl21_214 ),
inference(avatar_split_clause,[],[f2228,f2142,f802,f4552]) ).
tff(f4552,plain,
( spl21_426
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_426])]) ).
tff(f2228,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_64
| ~ spl21_214 ),
inference(superposition,[],[f2143,f804]) ).
tff(f4550,plain,
( spl21_425
| ~ spl21_112
| ~ spl21_201 ),
inference(avatar_split_clause,[],[f2104,f2024,f1115,f4548]) ).
tff(f4548,plain,
( spl21_425
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| mem(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_425])]) ).
tff(f2104,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| mem(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1),bool) )
| ~ spl21_112
| ~ spl21_201 ),
inference(resolution,[],[f2025,f1116]) ).
tff(f4546,plain,
( spl21_424
| ~ spl21_112
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2097,f2020,f1115,f4544]) ).
tff(f4544,plain,
( spl21_424
<=> ! [X0,X1] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_424])]) ).
tff(f2097,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal) )
| ~ spl21_112
| ~ spl21_200 ),
inference(resolution,[],[f2021,f1116]) ).
tff(f4541,plain,
( spl21_423
| ~ spl21_112
| ~ spl21_199 ),
inference(avatar_split_clause,[],[f2091,f2016,f1115,f4539]) ).
tff(f4539,plain,
( spl21_423
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Ebool_2E_2F_5C,X0),X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_423])]) ).
tff(f2091,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Ebool_2E_2F_5C,X0),X1),bool) )
| ~ spl21_112
| ~ spl21_199 ),
inference(resolution,[],[f2017,f1116]) ).
tff(f4536,plain,
( spl21_422
| ~ spl21_112
| ~ spl21_198 ),
inference(avatar_split_clause,[],[f2084,f2012,f1115,f4534]) ).
tff(f4534,plain,
( spl21_422
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Ebool_2E_5C_2F,X0),X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_422])]) ).
tff(f2084,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Ebool_2E_5C_2F,X0),X1),bool) )
| ~ spl21_112
| ~ spl21_198 ),
inference(resolution,[],[f2013,f1116]) ).
tff(f4532,plain,
( spl21_421
| ~ spl21_112
| ~ spl21_197 ),
inference(avatar_split_clause,[],[f2073,f2008,f1115,f4530]) ).
tff(f4530,plain,
( spl21_421
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_421])]) ).
tff(f2073,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| mem(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool) )
| ~ spl21_112
| ~ spl21_197 ),
inference(resolution,[],[f2009,f1116]) ).
tff(f4528,plain,
( spl21_420
| ~ spl21_68
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1670,f1653,f825,f4526]) ).
tff(f4526,plain,
( spl21_420
<=> ! [X0] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = ap(i(bool),ap(c_2Ebool_2E_7E,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_420])]) ).
tff(f1670,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = ap(i(bool),ap(c_2Ebool_2E_7E,X0)) ) )
| ~ spl21_68
| ~ spl21_177 ),
inference(resolution,[],[f1654,f826]) ).
tff(f4524,plain,
( spl21_419
| ~ spl21_10
| ~ spl21_19
| ~ spl21_369 ),
inference(avatar_split_clause,[],[f4360,f3821,f611,f554,f4521]) ).
tff(f3821,plain,
( spl21_369
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_369])]) ).
tff(f4360,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK17,sK16) )
| ~ spl21_10
| ~ spl21_19
| ~ spl21_369 ),
inference(forward_demodulation,[],[f4312,f613]) ).
tff(f4312,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Eextreal_2Eextreal__le(sK17,sK16) )
| ~ spl21_10
| ~ spl21_369 ),
inference(superposition,[],[f555,f3823]) ).
tff(f3823,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ spl21_369 ),
inference(avatar_component_clause,[],[f3821]) ).
tff(f4454,plain,
( spl21_418
| ~ spl21_9
| ~ spl21_277 ),
inference(avatar_split_clause,[],[f2759,f2745,f549,f4451]) ).
tff(f4451,plain,
( spl21_418
<=> ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),c_2Ebool_2E_7E),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_418])]) ).
tff(f549,plain,
( spl21_9
<=> mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
tff(f2759,plain,
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),c_2Ebool_2E_7E),c_2Ebool_2E_7E) )
| ~ spl21_9
| ~ spl21_277 ),
inference(resolution,[],[f2746,f551]) ).
tff(f551,plain,
( mem(c_2Ebool_2E_7E,arr(bool,bool))
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f549]) ).
tff(f4449,plain,
( spl21_417
| ~ spl21_9
| ~ spl21_276 ),
inference(avatar_split_clause,[],[f2754,f2741,f549,f4446]) ).
tff(f4446,plain,
( spl21_417
<=> ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),c_2Ebool_2E_7E),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_417])]) ).
tff(f2754,plain,
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),c_2Ebool_2E_7E),c_2Ebool_2E_7E) )
| ~ spl21_9
| ~ spl21_276 ),
inference(resolution,[],[f2742,f551]) ).
tff(f4444,plain,
( spl21_416
| ~ spl21_7
| ~ spl21_11
| ~ spl21_156
| ~ spl21_258
| ~ spl21_369 ),
inference(avatar_split_clause,[],[f4359,f3821,f2576,f1479,f558,f539,f4441]) ).
tff(f4441,plain,
( spl21_416
<=> ( sK16 = fo__c_2Eextreal_2Eextreal__max(sK17,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_416])]) ).
tff(f4359,plain,
( ( sK16 = fo__c_2Eextreal_2Eextreal__max(sK17,sK16) )
| ~ spl21_7
| ~ spl21_11
| ~ spl21_156
| ~ spl21_258
| ~ spl21_369 ),
inference(forward_demodulation,[],[f4358,f559]) ).
tff(f4358,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK16) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK16)) )
| ~ spl21_7
| ~ spl21_156
| ~ spl21_258
| ~ spl21_369 ),
inference(forward_demodulation,[],[f4306,f2589]) ).
tff(f4306,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK17,sK16) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK16)),inj__ty_2Eextreal_2Eextreal(sK17))) )
| ~ spl21_156
| ~ spl21_369 ),
inference(superposition,[],[f1480,f3823]) ).
tff(f4439,plain,
( spl21_415
| ~ spl21_3
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2644,f2610,f519,f4437]) ).
tff(f4437,plain,
( spl21_415
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_415])]) ).
tff(f2644,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_3
| ~ spl21_261 ),
inference(resolution,[],[f2611,f521]) ).
tff(f521,plain,
( mem(c_2Ebool_2EF,bool)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f519]) ).
tff(f4435,plain,
( spl21_414
| ~ spl21_4
| ~ spl21_261 ),
inference(avatar_split_clause,[],[f2643,f2610,f524,f4433]) ).
tff(f4433,plain,
( spl21_414
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_414])]) ).
tff(f2643,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_4
| ~ spl21_261 ),
inference(resolution,[],[f2611,f526]) ).
tff(f4431,plain,
( spl21_413
| ~ spl21_8
| ~ spl21_252 ),
inference(avatar_split_clause,[],[f2556,f2445,f543,f4429]) ).
tff(f4429,plain,
( spl21_413
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_413])]) ).
tff(f2556,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_8
| ~ spl21_252 ),
inference(resolution,[],[f2446,f544]) ).
tff(f4427,plain,
( spl21_412
| ~ spl21_8
| ~ spl21_251 ),
inference(avatar_split_clause,[],[f2550,f2441,f543,f4425]) ).
tff(f4425,plain,
( spl21_412
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_412])]) ).
tff(f2550,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_8
| ~ spl21_251 ),
inference(resolution,[],[f2442,f544]) ).
tff(f4415,plain,
( ~ spl21_9
| spl21_411
| ~ spl21_155
| ~ spl21_202 ),
inference(avatar_split_clause,[],[f2036,f2028,f1475,f4413,f549]) ).
tff(f1475,plain,
( spl21_155
<=> ! [X0: del,X1,X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_155])]) ).
tff(f2028,plain,
( spl21_202
<=> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_202])]) ).
tff(f2036,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(c_2Ebool_2E_7E,arr(bool,bool)) )
| ~ spl21_155
| ~ spl21_202 ),
inference(resolution,[],[f2030,f1476]) ).
tff(f1476,plain,
( ! [X3: $i,X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X3,X0)
| p(ap(X1,X3))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_155 ),
inference(avatar_component_clause,[],[f1475]) ).
tff(f2030,plain,
( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ spl21_202 ),
inference(avatar_component_clause,[],[f2028]) ).
tff(f4411,plain,
( spl21_410
| ~ spl21_177
| ~ spl21_196 ),
inference(avatar_split_clause,[],[f2001,f1997,f1653,f4409]) ).
tff(f4409,plain,
( spl21_410
<=> ! [X0] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,X0) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_410])]) ).
tff(f2001,plain,
( ! [X0: $i] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,X0) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_196 ),
inference(resolution,[],[f1998,f1654]) ).
tff(f4407,plain,
( spl21_409
| ~ spl21_177
| ~ spl21_195 ),
inference(avatar_split_clause,[],[f1992,f1988,f1653,f4405]) ).
tff(f4405,plain,
( spl21_409
<=> ! [X0] :
( p(ap(c_2Ebool_2E_7E,X0))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,X0) )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_409])]) ).
tff(f1992,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,X0) )
| ~ mem(X0,bool) )
| ~ spl21_177
| ~ spl21_195 ),
inference(resolution,[],[f1989,f1654]) ).
tff(f4403,plain,
( spl21_408
| ~ spl21_76
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1669,f1653,f891,f4401]) ).
tff(f4401,plain,
( spl21_408
<=> ! [X0,X1] :
( ~ mem(X0,bool)
| ( ap(k(bool,X1),ap(c_2Ebool_2E_7E,X0)) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_408])]) ).
tff(f1669,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ( ap(k(bool,X1),ap(c_2Ebool_2E_7E,X0)) = X1 ) )
| ~ spl21_76
| ~ spl21_177 ),
inference(resolution,[],[f1654,f892]) ).
tff(f4399,plain,
( spl21_407
| ~ spl21_49
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1666,f1653,f739,f4397]) ).
tff(f4397,plain,
( spl21_407
<=> ! [X0] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = inj__o(surj__o(ap(c_2Ebool_2E_7E,X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_407])]) ).
tff(f1666,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,X0) = inj__o(surj__o(ap(c_2Ebool_2E_7E,X0))) ) )
| ~ spl21_49
| ~ spl21_177 ),
inference(resolution,[],[f1654,f740]) ).
tff(f4198,plain,
( spl21_406
| spl21_402
| ~ spl21_25
| ~ spl21_279 ),
inference(avatar_split_clause,[],[f2791,f2766,f640,f4120,f4195]) ).
tff(f4195,plain,
( spl21_406
<=> mem(sK20(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__le,c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),ty_2Eextreal_2Eextreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_406])]) ).
tff(f2791,plain,
( ( c_2Eextreal_2Eextreal__le = c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) )
| mem(sK20(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__le,c_2Emin_2E_3D(ty_2Eextreal_2Eextreal)),ty_2Eextreal_2Eextreal)
| ~ spl21_25
| ~ spl21_279 ),
inference(resolution,[],[f2767,f642]) ).
tff(f4166,plain,
( spl21_405
| spl21_400
| ~ spl21_21
| ~ spl21_279 ),
inference(avatar_split_clause,[],[f2790,f2766,f620,f4109,f4163]) ).
tff(f4163,plain,
( spl21_405
<=> mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D(bool)),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_405])]) ).
tff(f4109,plain,
( spl21_400
<=> ( c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_400])]) ).
tff(f2790,plain,
( ( c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D(bool)),bool)
| ~ spl21_21
| ~ spl21_279 ),
inference(resolution,[],[f2767,f622]) ).
tff(f4160,plain,
( spl21_404
| spl21_398
| ~ spl21_23
| ~ spl21_279 ),
inference(avatar_split_clause,[],[f2789,f2766,f630,f4098,f4157]) ).
tff(f4157,plain,
( spl21_404
<=> mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Emin_2E_3D(bool)),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_404])]) ).
tff(f4098,plain,
( spl21_398
<=> ( c_2Ebool_2E_5C_2F = c_2Emin_2E_3D(bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_398])]) ).
tff(f2789,plain,
( ( c_2Ebool_2E_5C_2F = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Emin_2E_3D(bool)),bool)
| ~ spl21_23
| ~ spl21_279 ),
inference(resolution,[],[f2767,f632]) ).
tff(f4135,plain,
( spl21_403
| spl21_396
| ~ spl21_22
| ~ spl21_279 ),
inference(avatar_split_clause,[],[f2788,f2766,f625,f4069,f4132]) ).
tff(f4132,plain,
( spl21_403
<=> mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Emin_2E_3D(bool)),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_403])]) ).
tff(f4069,plain,
( spl21_396
<=> ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_396])]) ).
tff(f2788,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Emin_2E_3D(bool)),bool)
| ~ spl21_22
| ~ spl21_279 ),
inference(resolution,[],[f2767,f627]) ).
tff(f4123,plain,
( spl21_401
| spl21_402
| ~ spl21_47
| ~ spl21_275 ),
inference(avatar_split_clause,[],[f2739,f2693,f731,f4120,f4116]) ).
tff(f4116,plain,
( spl21_401
<=> mem(sK20(ty_2Eextreal_2Eextreal,c_2Emin_2E_3D(ty_2Eextreal_2Eextreal),c_2Eextreal_2Eextreal__le),ty_2Eextreal_2Eextreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_401])]) ).
tff(f2693,plain,
( spl21_275
<=> ! [X0] :
( mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__le),ty_2Eextreal_2Eextreal)
| ( c_2Eextreal_2Eextreal__le = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_275])]) ).
tff(f2739,plain,
( ( c_2Eextreal_2Eextreal__le = c_2Emin_2E_3D(ty_2Eextreal_2Eextreal) )
| mem(sK20(ty_2Eextreal_2Eextreal,c_2Emin_2E_3D(ty_2Eextreal_2Eextreal),c_2Eextreal_2Eextreal__le),ty_2Eextreal_2Eextreal)
| ~ spl21_47
| ~ spl21_275 ),
inference(resolution,[],[f2694,f732]) ).
tff(f2694,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ( c_2Eextreal_2Eextreal__le = X0 )
| mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__le),ty_2Eextreal_2Eextreal) )
| ~ spl21_275 ),
inference(avatar_component_clause,[],[f2693]) ).
tff(f4112,plain,
( spl21_399
| spl21_400
| ~ spl21_47
| ~ spl21_273 ),
inference(avatar_split_clause,[],[f2734,f2685,f731,f4109,f4105]) ).
tff(f4105,plain,
( spl21_399
<=> mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_399])]) ).
tff(f2734,plain,
( ( c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool)
| ~ spl21_47
| ~ spl21_273 ),
inference(resolution,[],[f2686,f732]) ).
tff(f4101,plain,
( spl21_397
| spl21_398
| ~ spl21_47
| ~ spl21_272 ),
inference(avatar_split_clause,[],[f2729,f2681,f731,f4098,f4094]) ).
tff(f4094,plain,
( spl21_397
<=> mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_5C_2F),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_397])]) ).
tff(f2729,plain,
( ( c_2Ebool_2E_5C_2F = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_5C_2F),bool)
| ~ spl21_47
| ~ spl21_272 ),
inference(resolution,[],[f2682,f732]) ).
tff(f4072,plain,
( spl21_395
| spl21_396
| ~ spl21_47
| ~ spl21_271 ),
inference(avatar_split_clause,[],[f2724,f2677,f731,f4069,f4065]) ).
tff(f4065,plain,
( spl21_395
<=> mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_395])]) ).
tff(f2724,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool) )
| mem(sK20(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool)
| ~ spl21_47
| ~ spl21_271 ),
inference(resolution,[],[f2678,f732]) ).
tff(f4063,plain,
( spl21_394
| ~ spl21_3
| ~ spl21_257 ),
inference(avatar_split_clause,[],[f2588,f2572,f519,f4061]) ).
tff(f4061,plain,
( spl21_394
<=> ! [X0: tp__o] : ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_394])]) ).
tff(f2588,plain,
( ! [X0: tp__o] : ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_3
| ~ spl21_257 ),
inference(resolution,[],[f2573,f521]) ).
tff(f4059,plain,
( spl21_393
| ~ spl21_4
| ~ spl21_257 ),
inference(avatar_split_clause,[],[f2587,f2572,f524,f4057]) ).
tff(f4057,plain,
( spl21_393
<=> ! [X0: tp__o] : ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_393])]) ).
tff(f2587,plain,
( ! [X0: tp__o] : ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_4
| ~ spl21_257 ),
inference(resolution,[],[f2573,f526]) ).
tff(f4055,plain,
( spl21_392
| ~ spl21_8
| ~ spl21_250 ),
inference(avatar_split_clause,[],[f2544,f2437,f543,f4053]) ).
tff(f4053,plain,
( spl21_392
<=> ! [X0: tp__o] : ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_392])]) ).
tff(f2544,plain,
( ! [X0: tp__o] : ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_8
| ~ spl21_250 ),
inference(resolution,[],[f2438,f544]) ).
tff(f4051,plain,
( spl21_391
| ~ spl21_8
| ~ spl21_248 ),
inference(avatar_split_clause,[],[f2538,f2429,f543,f4049]) ).
tff(f4049,plain,
( spl21_391
<=> ! [X0: tp__o] : ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_391])]) ).
tff(f2538,plain,
( ! [X0: tp__o] : ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_8
| ~ spl21_248 ),
inference(resolution,[],[f2430,f544]) ).
tff(f4046,plain,
( spl21_390
| ~ spl21_134
| ~ spl21_235 ),
inference(avatar_split_clause,[],[f2365,f2356,f1268,f4044]) ).
tff(f4044,plain,
( spl21_390
<=> ! [X0,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X1)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_390])]) ).
tff(f2356,plain,
( spl21_235
<=> ! [X0: tp__o,X1] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_235])]) ).
tff(f2365,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X1)) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_134
| ~ spl21_235 ),
inference(resolution,[],[f2357,f1269]) ).
tff(f2357,plain,
( ! [X0: tp__o,X1: $i] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_235 ),
inference(avatar_component_clause,[],[f2356]) ).
tff(f4042,plain,
( spl21_389
| ~ spl21_8
| ~ spl21_234 ),
inference(avatar_split_clause,[],[f2362,f2352,f543,f4040]) ).
tff(f4040,plain,
( spl21_389
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ( inj__o(X0) = inj__o(X1) )
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_389])]) ).
tff(f2362,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ( inj__o(X0) = inj__o(X1) )
| p(inj__o(X1)) )
| ~ spl21_8
| ~ spl21_234 ),
inference(resolution,[],[f2353,f544]) ).
tff(f4038,plain,
( spl21_388
| ~ spl21_170
| ~ spl21_206 ),
inference(avatar_split_clause,[],[f2203,f2110,f1580,f4036]) ).
tff(f4036,plain,
( spl21_388
<=> ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_388])]) ).
tff(f2110,plain,
( spl21_206
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_206])]) ).
tff(f2203,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(X0)) )
| ~ spl21_170
| ~ spl21_206 ),
inference(resolution,[],[f2111,f1581]) ).
tff(f2111,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool) )
| ~ spl21_206 ),
inference(avatar_component_clause,[],[f2110]) ).
tff(f4034,plain,
( spl21_387
| ~ spl21_171
| ~ spl21_206 ),
inference(avatar_split_clause,[],[f2202,f2110,f1595,f4032]) ).
tff(f4032,plain,
( spl21_387
<=> ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_7E(X0),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_387])]) ).
tff(f2202,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP1(fo__c_2Ebool_2E_7E(X0),fo__c_2Ebool_2ET) )
| ~ spl21_171
| ~ spl21_206 ),
inference(resolution,[],[f2111,f1596]) ).
tff(f4030,plain,
( spl21_386
| ~ spl21_10
| ~ spl21_28
| ~ spl21_359 ),
inference(avatar_split_clause,[],[f3943,f3767,f653,f554,f4027]) ).
tff(f3943,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_10
| ~ spl21_28
| ~ spl21_359 ),
inference(forward_demodulation,[],[f3901,f655]) ).
tff(f3901,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Eextreal_2Eextreal__le(sK18,sK16) )
| ~ spl21_10
| ~ spl21_359 ),
inference(superposition,[],[f555,f3769]) ).
tff(f4025,plain,
( spl21_385
| ~ spl21_172
| ~ spl21_206 ),
inference(avatar_split_clause,[],[f2201,f2110,f1610,f4023]) ).
tff(f4023,plain,
( spl21_385
<=> ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_7E(X0),fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_385])]) ).
tff(f2201,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool)
| sP0(fo__c_2Ebool_2E_7E(X0),fo__c_2Ebool_2ET) )
| ~ spl21_172
| ~ spl21_206 ),
inference(resolution,[],[f2111,f1611]) ).
tff(f4017,plain,
( spl21_384
| ~ spl21_7
| ~ spl21_11
| ~ spl21_156
| ~ spl21_263
| ~ spl21_359 ),
inference(avatar_split_clause,[],[f3942,f3767,f2618,f1479,f558,f539,f4014]) ).
tff(f3942,plain,
( ( sK18 = fo__c_2Eextreal_2Eextreal__max(sK18,sK16) )
| ~ spl21_7
| ~ spl21_11
| ~ spl21_156
| ~ spl21_263
| ~ spl21_359 ),
inference(forward_demodulation,[],[f3941,f559]) ).
tff(f3941,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK18,sK16) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK18)) )
| ~ spl21_7
| ~ spl21_156
| ~ spl21_263
| ~ spl21_359 ),
inference(forward_demodulation,[],[f3895,f2646]) ).
tff(f3895,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK18,sK16) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(sK16)),inj__ty_2Eextreal_2Eextreal(sK18))) )
| ~ spl21_156
| ~ spl21_359 ),
inference(superposition,[],[f1480,f3769]) ).
tff(f3998,plain,
( spl21_383
| ~ spl21_3
| ~ spl21_252 ),
inference(avatar_split_clause,[],[f2558,f2445,f519,f3995]) ).
tff(f3995,plain,
( spl21_383
<=> ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_383])]) ).
tff(f2558,plain,
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl21_3
| ~ spl21_252 ),
inference(resolution,[],[f2446,f521]) ).
tff(f3993,plain,
( spl21_382
| ~ spl21_4
| ~ spl21_252 ),
inference(avatar_split_clause,[],[f2557,f2445,f524,f3990]) ).
tff(f3990,plain,
( spl21_382
<=> ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_382])]) ).
tff(f2557,plain,
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2EF) )
| ~ spl21_4
| ~ spl21_252 ),
inference(resolution,[],[f2446,f526]) ).
tff(f3988,plain,
( spl21_381
| ~ spl21_3
| ~ spl21_251 ),
inference(avatar_split_clause,[],[f2552,f2441,f519,f3985]) ).
tff(f3985,plain,
( spl21_381
<=> ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_381])]) ).
tff(f2552,plain,
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2ET) )
| ~ spl21_3
| ~ spl21_251 ),
inference(resolution,[],[f2442,f521]) ).
tff(f3983,plain,
( spl21_380
| ~ spl21_4
| ~ spl21_251 ),
inference(avatar_split_clause,[],[f2551,f2441,f524,f3980]) ).
tff(f3980,plain,
( spl21_380
<=> ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_380])]) ).
tff(f2551,plain,
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2ET) )
| ~ spl21_4
| ~ spl21_251 ),
inference(resolution,[],[f2442,f526]) ).
tff(f3886,plain,
( spl21_379
| ~ spl21_3
| ~ spl21_250 ),
inference(avatar_split_clause,[],[f2546,f2437,f519,f3883]) ).
tff(f3883,plain,
( spl21_379
<=> ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_379])]) ).
tff(f2546,plain,
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl21_3
| ~ spl21_250 ),
inference(resolution,[],[f2438,f521]) ).
tff(f3881,plain,
( spl21_378
| ~ spl21_4
| ~ spl21_250 ),
inference(avatar_split_clause,[],[f2545,f2437,f524,f3878]) ).
tff(f3878,plain,
( spl21_378
<=> ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_378])]) ).
tff(f2545,plain,
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2EF) )
| ~ spl21_4
| ~ spl21_250 ),
inference(resolution,[],[f2438,f526]) ).
tff(f3876,plain,
( spl21_377
| ~ spl21_3
| ~ spl21_248 ),
inference(avatar_split_clause,[],[f2540,f2429,f519,f3873]) ).
tff(f3873,plain,
( spl21_377
<=> ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_377])]) ).
tff(f2540,plain,
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2ET) )
| ~ spl21_3
| ~ spl21_248 ),
inference(resolution,[],[f2430,f521]) ).
tff(f3871,plain,
( spl21_376
| ~ spl21_4
| ~ spl21_248 ),
inference(avatar_split_clause,[],[f2539,f2429,f524,f3868]) ).
tff(f3868,plain,
( spl21_376
<=> ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_376])]) ).
tff(f2539,plain,
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2ET) )
| ~ spl21_4
| ~ spl21_248 ),
inference(resolution,[],[f2430,f526]) ).
tff(f3864,plain,
( spl21_375
| ~ spl21_6
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f2295,f2182,f534,f3861]) ).
tff(f3861,plain,
( spl21_375
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_375])]) ).
tff(f2295,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_224 ),
inference(superposition,[],[f2183,f536]) ).
tff(f3857,plain,
( spl21_374
| ~ spl21_5
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f2294,f2182,f529,f3854]) ).
tff(f3854,plain,
( spl21_374
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_374])]) ).
tff(f2294,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_224 ),
inference(superposition,[],[f2183,f531]) ).
tff(f3850,plain,
( spl21_373
| ~ spl21_6
| ~ spl21_222 ),
inference(avatar_split_clause,[],[f2288,f2174,f534,f3847]) ).
tff(f3847,plain,
( spl21_373
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_373])]) ).
tff(f2288,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_222 ),
inference(superposition,[],[f2175,f536]) ).
tff(f3843,plain,
( spl21_372
| ~ spl21_5
| ~ spl21_222 ),
inference(avatar_split_clause,[],[f2287,f2174,f529,f3840]) ).
tff(f3840,plain,
( spl21_372
<=> ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_372])]) ).
tff(f2287,plain,
( ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_222 ),
inference(superposition,[],[f2175,f531]) ).
tff(f3836,plain,
( spl21_371
| ~ spl21_6
| ~ spl21_219 ),
inference(avatar_split_clause,[],[f2262,f2162,f534,f3833]) ).
tff(f3833,plain,
( spl21_371
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_371])]) ).
tff(f2262,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_219 ),
inference(superposition,[],[f2163,f536]) ).
tff(f3829,plain,
( spl21_370
| ~ spl21_5
| ~ spl21_219 ),
inference(avatar_split_clause,[],[f2261,f2162,f529,f3826]) ).
tff(f3826,plain,
( spl21_370
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_370])]) ).
tff(f2261,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_219 ),
inference(superposition,[],[f2163,f531]) ).
tff(f3824,plain,
( spl21_369
| ~ spl21_14
| ~ spl21_325 ),
inference(avatar_split_clause,[],[f3216,f3174,f576,f3821]) ).
tff(f3216,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ spl21_14
| ~ spl21_325 ),
inference(resolution,[],[f3175,f578]) ).
tff(f3817,plain,
( spl21_368
| ~ spl21_6
| ~ spl21_218 ),
inference(avatar_split_clause,[],[f2255,f2158,f534,f3814]) ).
tff(f3814,plain,
( spl21_368
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_368])]) ).
tff(f2255,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_218 ),
inference(superposition,[],[f2159,f536]) ).
tff(f3810,plain,
( spl21_367
| ~ spl21_5
| ~ spl21_218 ),
inference(avatar_split_clause,[],[f2254,f2158,f529,f3807]) ).
tff(f3807,plain,
( spl21_367
<=> ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_367])]) ).
tff(f2254,plain,
( ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_218 ),
inference(superposition,[],[f2159,f531]) ).
tff(f3805,plain,
( spl21_366
| ~ spl21_6
| ~ spl21_215 ),
inference(avatar_split_clause,[],[f2234,f2146,f534,f3802]) ).
tff(f3802,plain,
( spl21_366
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_366])]) ).
tff(f2234,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_215 ),
inference(superposition,[],[f2147,f536]) ).
tff(f3800,plain,
( spl21_365
| ~ spl21_5
| ~ spl21_215 ),
inference(avatar_split_clause,[],[f2233,f2146,f529,f3797]) ).
tff(f3797,plain,
( spl21_365
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_365])]) ).
tff(f2233,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_215 ),
inference(superposition,[],[f2147,f531]) ).
tff(f3795,plain,
( spl21_364
| ~ spl21_6
| ~ spl21_214 ),
inference(avatar_split_clause,[],[f2227,f2142,f534,f3792]) ).
tff(f3792,plain,
( spl21_364
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_364])]) ).
tff(f2227,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_214 ),
inference(superposition,[],[f2143,f536]) ).
tff(f3790,plain,
( spl21_363
| ~ spl21_5
| ~ spl21_214 ),
inference(avatar_split_clause,[],[f2226,f2142,f529,f3787]) ).
tff(f3787,plain,
( spl21_363
<=> ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_363])]) ).
tff(f2226,plain,
( ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_214 ),
inference(superposition,[],[f2143,f531]) ).
tff(f3785,plain,
( spl21_362
| ~ spl21_65
| ~ spl21_167 ),
inference(avatar_split_clause,[],[f1659,f1561,f812,f3782]) ).
tff(f3782,plain,
( spl21_362
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = ap(i(bool),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_362])]) ).
tff(f1561,plain,
( spl21_167
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(i(bool),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_167])]) ).
tff(f1659,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = ap(i(bool),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_65
| ~ spl21_167 ),
inference(superposition,[],[f1562,f814]) ).
tff(f1562,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(i(bool),inj__o(X0)) )
| ~ spl21_167 ),
inference(avatar_component_clause,[],[f1561]) ).
tff(f3780,plain,
( spl21_361
| ~ spl21_45
| ~ spl21_65 ),
inference(avatar_split_clause,[],[f1542,f812,f723,f3777]) ).
tff(f3777,plain,
( spl21_361
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_361])]) ).
tff(f723,plain,
( spl21_45
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).
tff(f1542,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_45
| ~ spl21_65 ),
inference(superposition,[],[f724,f814]) ).
tff(f724,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) )
| ~ spl21_45 ),
inference(avatar_component_clause,[],[f723]) ).
tff(f3775,plain,
( spl21_360
| ~ spl21_45
| ~ spl21_64 ),
inference(avatar_split_clause,[],[f836,f802,f723,f3772]) ).
tff(f3772,plain,
( spl21_360
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_360])]) ).
tff(f836,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_45
| ~ spl21_64 ),
inference(superposition,[],[f724,f804]) ).
tff(f3770,plain,
( spl21_359
| spl21_17
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f3190,f3170,f594,f3767]) ).
tff(f3190,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)) )
| spl21_17
| ~ spl21_324 ),
inference(resolution,[],[f3171,f596]) ).
tff(f596,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| spl21_17 ),
inference(avatar_component_clause,[],[f594]) ).
tff(f3519,plain,
( spl21_358
| spl21_356
| ~ spl21_23
| ~ spl21_273 ),
inference(avatar_split_clause,[],[f2732,f2685,f630,f3473,f3516]) ).
tff(f2732,plain,
( ( c_2Ebool_2E_5C_2F = c_2Ebool_2E_2F_5C )
| mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C),bool)
| ~ spl21_23
| ~ spl21_273 ),
inference(resolution,[],[f2686,f632]) ).
tff(f3503,plain,
( ~ spl21_352
| ~ spl21_350
| spl21_356 ),
inference(avatar_split_clause,[],[f3477,f3473,f3384,f3413]) ).
tff(f3477,plain,
( ( c_2Emin_2E_3D_3D_3E != c_2Ebool_2E_2F_5C )
| ~ spl21_350
| spl21_356 ),
inference(forward_demodulation,[],[f3474,f3386]) ).
tff(f3474,plain,
( ( c_2Ebool_2E_5C_2F != c_2Ebool_2E_2F_5C )
| spl21_356 ),
inference(avatar_component_clause,[],[f3473]) ).
tff(f3483,plain,
( spl21_357
| spl21_352
| ~ spl21_22
| ~ spl21_273 ),
inference(avatar_split_clause,[],[f2731,f2685,f625,f3413,f3480]) ).
tff(f3480,plain,
( spl21_357
<=> mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_357])]) ).
tff(f2731,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C )
| mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
| ~ spl21_22
| ~ spl21_273 ),
inference(resolution,[],[f2686,f627]) ).
tff(f3476,plain,
( spl21_355
| spl21_356
| ~ spl21_21
| ~ spl21_272 ),
inference(avatar_split_clause,[],[f2728,f2681,f620,f3473,f3469]) ).
tff(f2728,plain,
( ( c_2Ebool_2E_5C_2F = c_2Ebool_2E_2F_5C )
| mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Ebool_2E_5C_2F),bool)
| ~ spl21_21
| ~ spl21_272 ),
inference(resolution,[],[f2682,f622]) ).
tff(f3446,plain,
( spl21_354
| spl21_350
| ~ spl21_22
| ~ spl21_272 ),
inference(avatar_split_clause,[],[f2726,f2681,f625,f3384,f3443]) ).
tff(f3443,plain,
( spl21_354
<=> mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_5C_2F),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_354])]) ).
tff(f2726,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_5C_2F )
| mem(sK20(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_5C_2F),bool)
| ~ spl21_22
| ~ spl21_272 ),
inference(resolution,[],[f2682,f627]) ).
tff(f3421,plain,
( ~ spl21_353
| ~ spl21_20
| ~ spl21_326 ),
inference(avatar_split_clause,[],[f3353,f3178,f616,f3418]) ).
tff(f3353,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK17)))
| ~ spl21_20
| ~ spl21_326 ),
inference(resolution,[],[f3180,f617]) ).
tff(f3180,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| ~ spl21_326 ),
inference(avatar_component_clause,[],[f3178]) ).
tff(f3416,plain,
( spl21_351
| spl21_352
| ~ spl21_21
| ~ spl21_271 ),
inference(avatar_split_clause,[],[f2723,f2677,f620,f3413,f3409]) ).
tff(f3409,plain,
( spl21_351
<=> mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_351])]) ).
tff(f2723,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C )
| mem(sK20(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
| ~ spl21_21
| ~ spl21_271 ),
inference(resolution,[],[f2678,f622]) ).
tff(f3387,plain,
( spl21_349
| spl21_350
| ~ spl21_23
| ~ spl21_271 ),
inference(avatar_split_clause,[],[f2722,f2677,f630,f3384,f3380]) ).
tff(f3380,plain,
( spl21_349
<=> mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Emin_2E_3D_3D_3E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_349])]) ).
tff(f2722,plain,
( ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_5C_2F )
| mem(sK20(bool,c_2Ebool_2E_5C_2F,c_2Emin_2E_3D_3D_3E),bool)
| ~ spl21_23
| ~ spl21_271 ),
inference(resolution,[],[f2678,f632]) ).
tff(f3378,plain,
( spl21_348
| ~ spl21_65
| ~ spl21_173 ),
inference(avatar_split_clause,[],[f1663,f1625,f812,f3376]) ).
tff(f3376,plain,
( spl21_348
<=> ! [X0] : ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_348])]) ).
tff(f1625,plain,
( spl21_173
<=> ! [X0,X1: tp__o] : ( ap(k(bool,X0),inj__o(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_173])]) ).
tff(f1663,plain,
( ! [X0: $i] : ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) = X0 )
| ~ spl21_65
| ~ spl21_173 ),
inference(superposition,[],[f1626,f814]) ).
tff(f1626,plain,
( ! [X0: $i,X1: tp__o] : ( ap(k(bool,X0),inj__o(X1)) = X0 )
| ~ spl21_173 ),
inference(avatar_component_clause,[],[f1625]) ).
tff(f3374,plain,
( spl21_347
| ~ spl21_71
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1619,f1610,f840,f3372]) ).
tff(f1619,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_71
| ~ spl21_172 ),
inference(resolution,[],[f1611,f841]) ).
tff(f3370,plain,
( spl21_346
| ~ spl21_72
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1618,f1610,f844,f3368]) ).
tff(f1618,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,X0) )
| ~ spl21_72
| ~ spl21_172 ),
inference(resolution,[],[f1611,f845]) ).
tff(f3366,plain,
( spl21_345
| ~ spl21_73
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1617,f1610,f848,f3364]) ).
tff(f1617,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP0(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_73
| ~ spl21_172 ),
inference(resolution,[],[f1611,f849]) ).
tff(f3362,plain,
( spl21_344
| ~ spl21_71
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1604,f1595,f840,f3360]) ).
tff(f1604,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_71
| ~ spl21_171 ),
inference(resolution,[],[f1596,f841]) ).
tff(f3358,plain,
( spl21_343
| ~ spl21_72
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1603,f1595,f844,f3356]) ).
tff(f1603,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP1(X1,X0) )
| ~ spl21_72
| ~ spl21_171 ),
inference(resolution,[],[f1596,f845]) ).
tff(f3351,plain,
( spl21_342
| ~ spl21_73
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1602,f1595,f848,f3349]) ).
tff(f1602,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(X0,fo__c_2Ebool_2ET)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_73
| ~ spl21_171 ),
inference(resolution,[],[f1596,f849]) ).
tff(f3347,plain,
( spl21_341
| ~ spl21_71
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1589,f1580,f840,f3345]) ).
tff(f1589,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X0,X1) )
| ~ spl21_71
| ~ spl21_170 ),
inference(resolution,[],[f1581,f841]) ).
tff(f3343,plain,
( spl21_340
| ~ spl21_72
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1588,f1580,f844,f3341]) ).
tff(f1588,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP1(X1,X0) )
| ~ spl21_72
| ~ spl21_170 ),
inference(resolution,[],[f1581,f845]) ).
tff(f3339,plain,
( spl21_339
| ~ spl21_73
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1587,f1580,f848,f3337]) ).
tff(f1587,plain,
( ! [X0: tp__o,X1: tp__o] :
( sP1(fo__c_2Ebool_2ET,X0)
| p(inj__o(X1))
| sP0(X1,X0) )
| ~ spl21_73
| ~ spl21_170 ),
inference(resolution,[],[f1581,f849]) ).
tff(f3323,plain,
( spl21_338
| spl21_334
| ~ spl21_65
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1623,f1610,f812,f3277,f3320]) ).
tff(f3320,plain,
( spl21_338
<=> sP0(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_338])]) ).
tff(f1623,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| sP0(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)
| ~ spl21_65
| ~ spl21_172 ),
inference(superposition,[],[f1611,f814]) ).
tff(f3310,plain,
( spl21_337
| spl21_332
| ~ spl21_64
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1622,f1610,f802,f3260,f3307]) ).
tff(f3307,plain,
( spl21_337
<=> sP0(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_337])]) ).
tff(f1622,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| sP0(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)
| ~ spl21_64
| ~ spl21_172 ),
inference(superposition,[],[f1611,f804]) ).
tff(f3299,plain,
( spl21_336
| spl21_334
| ~ spl21_65
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1608,f1595,f812,f3277,f3296]) ).
tff(f3296,plain,
( spl21_336
<=> sP1(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_336])]) ).
tff(f1608,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| sP1(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)
| ~ spl21_65
| ~ spl21_171 ),
inference(superposition,[],[f1596,f814]) ).
tff(f3290,plain,
( spl21_335
| spl21_332
| ~ spl21_64
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1607,f1595,f802,f3260,f3287]) ).
tff(f3287,plain,
( spl21_335
<=> sP1(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_335])]) ).
tff(f1607,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| sP1(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)
| ~ spl21_64
| ~ spl21_171 ),
inference(superposition,[],[f1596,f804]) ).
tff(f3280,plain,
( spl21_333
| spl21_334
| ~ spl21_65
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1593,f1580,f812,f3277,f3273]) ).
tff(f3273,plain,
( spl21_333
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_333])]) ).
tff(f1593,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))
| ~ spl21_65
| ~ spl21_170 ),
inference(superposition,[],[f1581,f814]) ).
tff(f3263,plain,
( spl21_331
| spl21_332
| ~ spl21_64
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1592,f1580,f802,f3260,f3256]) ).
tff(f3256,plain,
( spl21_331
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_331])]) ).
tff(f1592,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))
| ~ spl21_64
| ~ spl21_170 ),
inference(superposition,[],[f1581,f804]) ).
tff(f3254,plain,
( spl21_330
| ~ spl21_71
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1314,f1268,f840,f3252]) ).
tff(f3252,plain,
( spl21_330
<=> ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(X1,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_330])]) ).
tff(f1314,plain,
( ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(X1,X1),X0) )
| ~ spl21_71
| ~ spl21_134 ),
inference(resolution,[],[f1269,f841]) ).
tff(f3250,plain,
( spl21_329
| ~ spl21_72
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1313,f1268,f844,f3248]) ).
tff(f3248,plain,
( spl21_329
<=> ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_329])]) ).
tff(f1313,plain,
( ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(X1,X1)) )
| ~ spl21_72
| ~ spl21_134 ),
inference(resolution,[],[f1269,f845]) ).
tff(f3246,plain,
( spl21_328
| ~ spl21_73
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1312,f1268,f848,f3244]) ).
tff(f3244,plain,
( spl21_328
<=> ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_328])]) ).
tff(f1312,plain,
( ! [X0: tp__o,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(X1,X1)) )
| ~ spl21_73
| ~ spl21_134 ),
inference(resolution,[],[f1269,f849]) ).
tff(f3185,plain,
( spl21_327
| ~ spl21_8
| ~ spl21_207 ),
inference(avatar_split_clause,[],[f2209,f2114,f543,f3183]) ).
tff(f3183,plain,
( spl21_327
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Ebool_2E_7E(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_327])]) ).
tff(f2114,plain,
( spl21_207
<=> ! [X0: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_207])]) ).
tff(f2209,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Ebool_2E_7E(X0))) )
| ~ spl21_8
| ~ spl21_207 ),
inference(resolution,[],[f2115,f544]) ).
tff(f2115,plain,
( ! [X0: tp__o] :
( ~ mem(inj__o(X0),bool)
| p(inj__o(X0))
| p(inj__o(fo__c_2Ebool_2E_7E(X0))) )
| ~ spl21_207 ),
inference(avatar_component_clause,[],[f2114]) ).
tff(f3181,plain,
( spl21_326
| spl21_17
| ~ spl21_223 ),
inference(avatar_split_clause,[],[f3037,f2178,f594,f3178]) ).
tff(f3037,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| spl21_17
| ~ spl21_223 ),
inference(resolution,[],[f2179,f596]) ).
tff(f3176,plain,
( spl21_325
| ~ spl21_8
| ~ spl21_196 ),
inference(avatar_split_clause,[],[f2002,f1997,f543,f3174]) ).
tff(f2002,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ( c_2Ebool_2ET = inj__o(X0) ) )
| ~ spl21_8
| ~ spl21_196 ),
inference(resolution,[],[f1998,f544]) ).
tff(f3172,plain,
( spl21_324
| ~ spl21_8
| ~ spl21_195 ),
inference(avatar_split_clause,[],[f1993,f1988,f543,f3170]) ).
tff(f1993,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| ( c_2Ebool_2EF = inj__o(X0) ) )
| ~ spl21_8
| ~ spl21_195 ),
inference(resolution,[],[f1989,f544]) ).
tff(f3168,plain,
( spl21_323
| ~ spl21_10
| ~ spl21_65 ),
inference(avatar_split_clause,[],[f1541,f812,f554,f3165]) ).
tff(f3165,plain,
( spl21_323
<=> ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_323])]) ).
tff(f1541,plain,
( ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl21_10
| ~ spl21_65 ),
inference(superposition,[],[f555,f814]) ).
tff(f3163,plain,
( spl21_322
| ~ spl21_10
| ~ spl21_64 ),
inference(avatar_split_clause,[],[f837,f802,f554,f3160]) ).
tff(f3160,plain,
( spl21_322
<=> ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_322])]) ).
tff(f837,plain,
( ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl21_10
| ~ spl21_64 ),
inference(superposition,[],[f555,f804]) ).
tff(f3135,plain,
( spl21_321
| spl21_1
| ~ spl21_6
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1621,f1610,f534,f509,f3132]) ).
tff(f3132,plain,
( spl21_321
<=> sP0(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_321])]) ).
tff(f1621,plain,
( p(c_2Ebool_2EF)
| sP0(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)
| ~ spl21_6
| ~ spl21_172 ),
inference(superposition,[],[f1611,f536]) ).
tff(f3124,plain,
( spl21_320
| spl21_1
| ~ spl21_6
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1606,f1595,f534,f509,f3121]) ).
tff(f3121,plain,
( spl21_320
<=> sP1(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_320])]) ).
tff(f1606,plain,
( p(c_2Ebool_2EF)
| sP1(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)
| ~ spl21_6
| ~ spl21_171 ),
inference(superposition,[],[f1596,f536]) ).
tff(f3115,plain,
( spl21_319
| spl21_17
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f3030,f2134,f594,f3112]) ).
tff(f3030,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK17),fo__c_2Ebool_2ET)
| spl21_17
| ~ spl21_212 ),
inference(resolution,[],[f2135,f596]) ).
tff(f3110,plain,
( spl21_318
| spl21_1
| ~ spl21_6
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1591,f1580,f534,f509,f3107]) ).
tff(f3107,plain,
( spl21_318
<=> sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_318])]) ).
tff(f1591,plain,
( p(c_2Ebool_2EF)
| sP1(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)
| ~ spl21_6
| ~ spl21_170 ),
inference(superposition,[],[f1581,f536]) ).
tff(f3105,plain,
( spl21_317
| ~ spl21_8
| ~ spl21_65 ),
inference(avatar_split_clause,[],[f1540,f812,f543,f3102]) ).
tff(f3102,plain,
( spl21_317
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_317])]) ).
tff(f1540,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool)
| ~ spl21_8
| ~ spl21_65 ),
inference(superposition,[],[f544,f814]) ).
tff(f3093,plain,
( spl21_316
| ~ spl21_15
| ~ spl21_235 ),
inference(avatar_split_clause,[],[f2370,f2356,f581,f3091]) ).
tff(f2370,plain,
( ! [X0: $i] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_15
| ~ spl21_235 ),
inference(resolution,[],[f2357,f582]) ).
tff(f3080,plain,
( spl21_315
| ~ spl21_154
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1616,f1610,f1425,f3078]) ).
tff(f3076,plain,
( spl21_314
| ~ spl21_154
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1601,f1595,f1425,f3074]) ).
tff(f3074,plain,
( spl21_314
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_314])]) ).
tff(f1601,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_154
| ~ spl21_171 ),
inference(resolution,[],[f1596,f1426]) ).
tff(f3072,plain,
( spl21_313
| ~ spl21_154
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1586,f1580,f1425,f3070]) ).
tff(f3070,plain,
( spl21_313
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_313])]) ).
tff(f1586,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK17,sK18)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_154
| ~ spl21_170 ),
inference(resolution,[],[f1581,f1426]) ).
tff(f3068,plain,
( spl21_312
| spl21_17
| ~ spl21_205 ),
inference(avatar_split_clause,[],[f3023,f2079,f594,f3065]) ).
tff(f3023,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK17))
| spl21_17
| ~ spl21_205 ),
inference(resolution,[],[f2080,f596]) ).
tff(f3047,plain,
( spl21_311
| ~ spl21_14
| ~ spl21_235 ),
inference(avatar_split_clause,[],[f2369,f2356,f576,f3045]) ).
tff(f2369,plain,
( ! [X0: $i] :
( ~ p(X0)
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_14
| ~ spl21_235 ),
inference(resolution,[],[f2357,f578]) ).
tff(f3022,plain,
( spl21_310
| ~ spl21_147
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1445,f1408,f1392,f3020]) ).
tff(f3020,plain,
( spl21_310
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK19(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_310])]) ).
tff(f1392,plain,
( spl21_147
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_147])]) ).
tff(f1408,plain,
( spl21_151
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ p(ap(X1,sK19(X0,X1)))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_151])]) ).
tff(f1445,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK19(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl21_147
| ~ spl21_151 ),
inference(resolution,[],[f1409,f1393]) ).
tff(f1393,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_147 ),
inference(avatar_component_clause,[],[f1392]) ).
tff(f1409,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(X1,sK19(X0,X1)))
| p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl21_151 ),
inference(avatar_component_clause,[],[f1408]) ).
tff(f3015,plain,
( spl21_309
| ~ spl21_138
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1443,f1408,f1328,f3013]) ).
tff(f3013,plain,
( spl21_309
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_309])]) ).
tff(f1328,plain,
( spl21_138
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_138])]) ).
tff(f1443,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl21_138
| ~ spl21_151 ),
inference(resolution,[],[f1409,f1329]) ).
tff(f1329,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_138 ),
inference(avatar_component_clause,[],[f1328]) ).
tff(f3011,plain,
( spl21_308
| ~ spl21_140
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1441,f1408,f1336,f3009]) ).
tff(f3009,plain,
( spl21_308
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_308])]) ).
tff(f1336,plain,
( spl21_140
<=> ! [X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_140])]) ).
tff(f1441,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl21_140
| ~ spl21_151 ),
inference(resolution,[],[f1409,f1337]) ).
tff(f1337,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_140 ),
inference(avatar_component_clause,[],[f1336]) ).
tff(f3006,plain,
( spl21_307
| ~ spl21_75
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1452,f1412,f887,f3004]) ).
tff(f1452,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2ECOND(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2EF),X1),c_2Ebool_2ECOND(X0)) )
| ~ mem(X1,arr(bool,arr(X0,arr(X0,X0)))) )
| ~ spl21_75
| ~ spl21_152 ),
inference(resolution,[],[f1413,f888]) ).
tff(f3001,plain,
( spl21_306
| ~ spl21_75
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1466,f1416,f887,f2999]) ).
tff(f1466,plain,
( ! [X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ET),X1),c_2Ebool_2ECOND(X0)) = X1 )
| ~ mem(X1,arr(bool,arr(X0,arr(X0,X0)))) )
| ~ spl21_75
| ~ spl21_153 ),
inference(resolution,[],[f1417,f888]) ).
tff(f2997,plain,
( spl21_305
| ~ spl21_137
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1444,f1408,f1324,f2995]) ).
tff(f2995,plain,
( spl21_305
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(X1)
| ~ mem(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_305])]) ).
tff(f1324,plain,
( spl21_137
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_137])]) ).
tff(f1444,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(X1)
| ~ mem(sK19(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl21_137
| ~ spl21_151 ),
inference(resolution,[],[f1409,f1325]) ).
tff(f1325,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_137 ),
inference(avatar_component_clause,[],[f1324]) ).
tff(f2993,plain,
( spl21_304
| ~ spl21_139
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1442,f1408,f1332,f2991]) ).
tff(f2991,plain,
( spl21_304
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_304])]) ).
tff(f1442,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK19(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl21_139
| ~ spl21_151 ),
inference(resolution,[],[f1409,f1333]) ).
tff(f2976,plain,
( spl21_303
| ~ spl21_46
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1457,f1412,f727,f2974]) ).
tff(f1457,plain,
( ! [X0: del,X1: $i] :
( ( c_2Ebool_2E_21(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2EF),X1),c_2Ebool_2E_21(X0)) )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl21_46
| ~ spl21_152 ),
inference(resolution,[],[f1413,f728]) ).
tff(f2972,plain,
( spl21_302
| ~ spl21_47
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1451,f1412,f731,f2970]) ).
tff(f1451,plain,
( ! [X0: del,X1: $i] :
( ( c_2Emin_2E_3D(X0) = ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2EF),X1),c_2Emin_2E_3D(X0)) )
| ~ mem(X1,arr(X0,arr(X0,bool))) )
| ~ spl21_47
| ~ spl21_152 ),
inference(resolution,[],[f1413,f732]) ).
tff(f2949,plain,
( spl21_301
| ~ spl21_46
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1507,f1486,f727,f2947]) ).
tff(f1507,plain,
( ! [X0: del,X1: $i] :
( mem(sK20(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
| ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl21_46
| ~ spl21_157 ),
inference(resolution,[],[f1487,f728]) ).
tff(f2945,plain,
( spl21_300
| ~ spl21_46
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1471,f1416,f727,f2943]) ).
tff(f1471,plain,
( ! [X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(arr(X0,bool),bool)),c_2Ebool_2ET),X1),c_2Ebool_2E_21(X0)) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl21_46
| ~ spl21_153 ),
inference(resolution,[],[f1417,f728]) ).
tff(f2941,plain,
( spl21_299
| ~ spl21_47
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1465,f1416,f731,f2939]) ).
tff(f1465,plain,
( ! [X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X0,arr(X0,bool))),c_2Ebool_2ET),X1),c_2Emin_2E_3D(X0)) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) )
| ~ spl21_47
| ~ spl21_153 ),
inference(resolution,[],[f1417,f732]) ).
tff(f2897,plain,
( spl21_298
| ~ spl21_71
| ~ spl21_229 ),
inference(avatar_split_clause,[],[f2350,f2283,f840,f2895]) ).
tff(f2350,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK18),X0) )
| ~ spl21_71
| ~ spl21_229 ),
inference(resolution,[],[f2285,f841]) ).
tff(f2893,plain,
( spl21_297
| ~ spl21_25
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1473,f1416,f640,f2891]) ).
tff(f1473,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__le) = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) )
| ~ spl21_25
| ~ spl21_153 ),
inference(resolution,[],[f1417,f642]) ).
tff(f2889,plain,
( spl21_296
| ~ spl21_24
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1472,f1416,f635,f2887]) ).
tff(f1472,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__max) = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) )
| ~ spl21_24
| ~ spl21_153 ),
inference(resolution,[],[f1417,f637]) ).
tff(f2885,plain,
( spl21_295
| ~ spl21_21
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1469,f1416,f620,f2883]) ).
tff(f1469,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_2F_5C) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_21
| ~ spl21_153 ),
inference(resolution,[],[f1417,f622]) ).
tff(f2881,plain,
( spl21_294
| ~ spl21_23
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1468,f1416,f630,f2879]) ).
tff(f1468,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Ebool_2E_5C_2F) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_23
| ~ spl21_153 ),
inference(resolution,[],[f1417,f632]) ).
tff(f2877,plain,
( spl21_293
| ~ spl21_22
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1467,f1416,f625,f2875]) ).
tff(f1467,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2ET),X0),c_2Emin_2E_3D_3D_3E) = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_22
| ~ spl21_153 ),
inference(resolution,[],[f1417,f627]) ).
tff(f2873,plain,
( spl21_292
| ~ spl21_25
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1459,f1412,f640,f2871]) ).
tff(f1459,plain,
( ! [X0: $i] :
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__le) )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) )
| ~ spl21_25
| ~ spl21_152 ),
inference(resolution,[],[f1413,f642]) ).
tff(f2869,plain,
( spl21_291
| ~ spl21_24
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1458,f1412,f635,f2867]) ).
tff(f1458,plain,
( ! [X0: $i] :
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__max) )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) )
| ~ spl21_24
| ~ spl21_152 ),
inference(resolution,[],[f1413,f637]) ).
tff(f2865,plain,
( spl21_290
| ~ spl21_21
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1455,f1412,f620,f2863]) ).
tff(f1455,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_2F_5C = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_2F_5C) )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_21
| ~ spl21_152 ),
inference(resolution,[],[f1413,f622]) ).
tff(f2861,plain,
( spl21_289
| ~ spl21_23
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1454,f1412,f630,f2859]) ).
tff(f1454,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_5C_2F = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Ebool_2E_5C_2F) )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_23
| ~ spl21_152 ),
inference(resolution,[],[f1413,f632]) ).
tff(f2857,plain,
( spl21_288
| ~ spl21_22
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1453,f1412,f625,f2855]) ).
tff(f1453,plain,
( ! [X0: $i] :
( ( c_2Emin_2E_3D_3D_3E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(bool,bool))),c_2Ebool_2EF),X0),c_2Emin_2E_3D_3D_3E) )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_22
| ~ spl21_152 ),
inference(resolution,[],[f1413,f627]) ).
tff(f2846,plain,
( spl21_287
| ~ spl21_75
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1502,f1486,f887,f2844]) ).
tff(f2844,plain,
( spl21_287
<=> ! [X0,X1: del] :
( mem(sK20(bool,X0,c_2Ebool_2ECOND(X1)),bool)
| ( c_2Ebool_2ECOND(X1) = X0 )
| ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_287])]) ).
tff(f1502,plain,
( ! [X0: $i,X1: del] :
( mem(sK20(bool,X0,c_2Ebool_2ECOND(X1)),bool)
| ( c_2Ebool_2ECOND(X1) = X0 )
| ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) )
| ~ spl21_75
| ~ spl21_157 ),
inference(resolution,[],[f1487,f888]) ).
tff(f2820,plain,
( spl21_286
| ~ spl21_67
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f1440,f1408,f821,f2818]) ).
tff(f2818,plain,
( spl21_286
<=> ! [X0: del] :
( p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| p(sK19(X0,c_2Ebool_2E_7E))
| ~ mem(sK19(X0,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_286])]) ).
tff(f821,plain,
( spl21_67
<=> ! [X0] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).
tff(f1440,plain,
( ! [X0: del] :
( p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| p(sK19(X0,c_2Ebool_2E_7E))
| ~ mem(sK19(X0,c_2Ebool_2E_7E),bool) )
| ~ spl21_67
| ~ spl21_151 ),
inference(resolution,[],[f1409,f822]) ).
tff(f822,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) )
| ~ spl21_67 ),
inference(avatar_component_clause,[],[f821]) ).
tff(f2816,plain,
( spl21_285
| ~ spl21_105
| ~ spl21_149 ),
inference(avatar_split_clause,[],[f1435,f1400,f1069,f2814]) ).
tff(f2814,plain,
( spl21_285
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_285])]) ).
tff(f1400,plain,
( spl21_149
<=> ! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_149])]) ).
tff(f1435,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_105
| ~ spl21_149 ),
inference(superposition,[],[f1401,f1070]) ).
tff(f1401,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X0)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_149 ),
inference(avatar_component_clause,[],[f1400]) ).
tff(f2812,plain,
( spl21_284
| ~ spl21_106
| ~ spl21_148 ),
inference(avatar_split_clause,[],[f1430,f1396,f1073,f2810]) ).
tff(f1396,plain,
( spl21_148
<=> ! [X0,X1] :
( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_148])]) ).
tff(f1430,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_106
| ~ spl21_148 ),
inference(superposition,[],[f1397,f1074]) ).
tff(f1397,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| p(X0)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl21_148 ),
inference(avatar_component_clause,[],[f1396]) ).
tff(f2808,plain,
( spl21_283
| ~ spl21_107
| ~ spl21_147 ),
inference(avatar_split_clause,[],[f1421,f1392,f1077,f2806]) ).
tff(f2806,plain,
( spl21_283
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_283])]) ).
tff(f1421,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_107
| ~ spl21_147 ),
inference(superposition,[],[f1393,f1078]) ).
tff(f2804,plain,
( spl21_282
| spl21_98
| ~ spl21_18
| ~ spl21_253 ),
inference(avatar_split_clause,[],[f2666,f2509,f607,f997,f2801]) ).
tff(f2509,plain,
( spl21_253
<=> ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_253])]) ).
tff(f2666,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK16,sK18))) )
| ~ spl21_18
| ~ spl21_253 ),
inference(resolution,[],[f2510,f608]) ).
tff(f2510,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) )
| ~ spl21_253 ),
inference(avatar_component_clause,[],[f2509]) ).
tff(f2776,plain,
( spl21_281
| ~ spl21_37
| ~ spl21_159 ),
inference(avatar_split_clause,[],[f1514,f1494,f690,f2774]) ).
tff(f690,plain,
( spl21_37
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).
tff(f1494,plain,
( spl21_159
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_159])]) ).
tff(f1514,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP15(X1,X0,X2)
| ~ sP12(X0,X2,X1)
| ~ sP11(X2,X0,X1)
| p(inj__o(X2)) )
| ~ spl21_37
| ~ spl21_159 ),
inference(resolution,[],[f1495,f691]) ).
tff(f691,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X1)) )
| ~ spl21_37 ),
inference(avatar_component_clause,[],[f690]) ).
tff(f1495,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP13(X0,X2,X1)
| p(inj__o(X1))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
| ~ spl21_159 ),
inference(avatar_component_clause,[],[f1494]) ).
tff(f2772,plain,
( spl21_280
| ~ spl21_36
| ~ spl21_158 ),
inference(avatar_split_clause,[],[f1512,f1490,f686,f2770]) ).
tff(f2770,plain,
( spl21_280
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| sP15(X1,X2,X0)
| ~ sP12(X2,X0,X1)
| ~ sP11(X0,X2,X1)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_280])]) ).
tff(f686,plain,
( spl21_36
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
tff(f1490,plain,
( spl21_158
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ p(inj__o(X2))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_158])]) ).
tff(f1512,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| sP15(X1,X2,X0)
| ~ sP12(X2,X0,X1)
| ~ sP11(X0,X2,X1)
| ~ p(inj__o(X2)) )
| ~ spl21_36
| ~ spl21_158 ),
inference(resolution,[],[f1491,f687]) ).
tff(f687,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X2)) )
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f686]) ).
tff(f1491,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP13(X0,X2,X1)
| ~ p(inj__o(X2))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
| ~ spl21_158 ),
inference(avatar_component_clause,[],[f1490]) ).
tff(f2768,plain,
( spl21_279
| ~ spl21_47
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1501,f1486,f731,f2766]) ).
tff(f1501,plain,
( ! [X0: del,X1: $i] :
( mem(sK20(X0,X1,c_2Emin_2E_3D(X0)),X0)
| ( c_2Emin_2E_3D(X0) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) )
| ~ spl21_47
| ~ spl21_157 ),
inference(resolution,[],[f1487,f732]) ).
tff(f2764,plain,
( spl21_278
| ~ spl21_46
| ~ spl21_145 ),
inference(avatar_split_clause,[],[f1386,f1372,f727,f2762]) ).
tff(f1386,plain,
( ! [X0: del] :
( mem(sK19(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0))) )
| ~ spl21_46
| ~ spl21_145 ),
inference(resolution,[],[f1373,f728]) ).
tff(f2747,plain,
( spl21_277
| ~ spl21_9
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1470,f1416,f549,f2745]) ).
tff(f1470,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2ET),X0),c_2Ebool_2E_7E) = X0 )
| ~ mem(X0,arr(bool,bool)) )
| ~ spl21_9
| ~ spl21_153 ),
inference(resolution,[],[f1417,f551]) ).
tff(f2743,plain,
( spl21_276
| ~ spl21_9
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1456,f1412,f549,f2741]) ).
tff(f1456,plain,
( ! [X0: $i] :
( ( c_2Ebool_2E_7E = ap(ap(ap(c_2Ebool_2ECOND(arr(bool,bool)),c_2Ebool_2EF),X0),c_2Ebool_2E_7E) )
| ~ mem(X0,arr(bool,bool)) )
| ~ spl21_9
| ~ spl21_152 ),
inference(resolution,[],[f1413,f551]) ).
tff(f2695,plain,
( spl21_275
| ~ spl21_25
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1509,f1486,f640,f2693]) ).
tff(f1509,plain,
( ! [X0: $i] :
( mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__le),ty_2Eextreal_2Eextreal)
| ( c_2Eextreal_2Eextreal__le = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) )
| ~ spl21_25
| ~ spl21_157 ),
inference(resolution,[],[f1487,f642]) ).
tff(f2691,plain,
( spl21_274
| ~ spl21_24
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1508,f1486,f635,f2689]) ).
tff(f1508,plain,
( ! [X0: $i] :
( mem(sK20(ty_2Eextreal_2Eextreal,X0,c_2Eextreal_2Eextreal__max),ty_2Eextreal_2Eextreal)
| ( c_2Eextreal_2Eextreal__max = X0 )
| ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) )
| ~ spl21_24
| ~ spl21_157 ),
inference(resolution,[],[f1487,f637]) ).
tff(f2687,plain,
( spl21_273
| ~ spl21_21
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1505,f1486,f620,f2685]) ).
tff(f1505,plain,
( ! [X0: $i] :
( mem(sK20(bool,X0,c_2Ebool_2E_2F_5C),bool)
| ( c_2Ebool_2E_2F_5C = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_21
| ~ spl21_157 ),
inference(resolution,[],[f1487,f622]) ).
tff(f2683,plain,
( spl21_272
| ~ spl21_23
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1504,f1486,f630,f2681]) ).
tff(f1504,plain,
( ! [X0: $i] :
( mem(sK20(bool,X0,c_2Ebool_2E_5C_2F),bool)
| ( c_2Ebool_2E_5C_2F = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_23
| ~ spl21_157 ),
inference(resolution,[],[f1487,f632]) ).
tff(f2679,plain,
( spl21_271
| ~ spl21_22
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1503,f1486,f625,f2677]) ).
tff(f1503,plain,
( ! [X0: $i] :
( mem(sK20(bool,X0,c_2Emin_2E_3D_3D_3E),bool)
| ( c_2Emin_2E_3D_3D_3E = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl21_22
| ~ spl21_157 ),
inference(resolution,[],[f1487,f627]) ).
tff(f2675,plain,
( spl21_270
| ~ spl21_105
| ~ spl21_140 ),
inference(avatar_split_clause,[],[f1361,f1336,f1069,f2673]) ).
tff(f2673,plain,
( spl21_270
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_270])]) ).
tff(f1361,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_105
| ~ spl21_140 ),
inference(superposition,[],[f1337,f1070]) ).
tff(f2671,plain,
( spl21_269
| ~ spl21_105
| ~ spl21_139 ),
inference(avatar_split_clause,[],[f1360,f1332,f1069,f2669]) ).
tff(f1360,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_105
| ~ spl21_139 ),
inference(superposition,[],[f1333,f1070]) ).
tff(f2665,plain,
( spl21_268
| ~ spl21_106
| ~ spl21_138 ),
inference(avatar_split_clause,[],[f1359,f1328,f1073,f2663]) ).
tff(f2663,plain,
( spl21_268
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_268])]) ).
tff(f1359,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_106
| ~ spl21_138 ),
inference(superposition,[],[f1329,f1074]) ).
tff(f2661,plain,
( spl21_267
| ~ spl21_106
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1358,f1324,f1073,f2659]) ).
tff(f2659,plain,
( spl21_267
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_267])]) ).
tff(f1358,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_106
| ~ spl21_137 ),
inference(superposition,[],[f1325,f1074]) ).
tff(f2657,plain,
( spl21_266
| ~ spl21_107
| ~ spl21_136 ),
inference(avatar_split_clause,[],[f1357,f1320,f1077,f2655]) ).
tff(f1357,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_107
| ~ spl21_136 ),
inference(superposition,[],[f1321,f1078]) ).
tff(f2653,plain,
( spl21_265
| ~ spl21_107
| ~ spl21_135 ),
inference(avatar_split_clause,[],[f1351,f1316,f1077,f2651]) ).
tff(f1351,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl21_107
| ~ spl21_135 ),
inference(superposition,[],[f1317,f1078]) ).
tff(f2624,plain,
( spl21_264
| ~ spl21_38
| ~ spl21_160 ),
inference(avatar_split_clause,[],[f1519,f1498,f694,f2622]) ).
tff(f694,plain,
( spl21_38
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).
tff(f1498,plain,
( spl21_160
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_160])]) ).
tff(f1519,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
| ~ spl21_38
| ~ spl21_160 ),
inference(duplicate_literal_removal,[],[f1516]) ).
tff(f1516,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0)
| p(inj__o(X0)) )
| ~ spl21_38
| ~ spl21_160 ),
inference(resolution,[],[f1499,f695]) ).
tff(f695,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X0)) )
| ~ spl21_38 ),
inference(avatar_component_clause,[],[f694]) ).
tff(f1499,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP13(X0,X2,X1)
| p(inj__o(X0))
| sP15(X0,X1,X2)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
| ~ spl21_160 ),
inference(avatar_component_clause,[],[f1498]) ).
tff(f2620,plain,
( spl21_263
| ~ spl21_7
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1450,f1412,f539,f2618]) ).
tff(f1450,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] :
( ( inj__ty_2Eextreal_2Eextreal(X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),inj__ty_2Eextreal_2Eextreal(X1)) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl21_7
| ~ spl21_152 ),
inference(resolution,[],[f1413,f540]) ).
tff(f2616,plain,
( spl21_262
| spl21_17
| ~ spl21_239 ),
inference(avatar_split_clause,[],[f2474,f2393,f594,f2614]) ).
tff(f2474,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK16,sK18),X0)
| p(inj__o(X0)) )
| spl21_17
| ~ spl21_239 ),
inference(resolution,[],[f2394,f596]) ).
tff(f2612,plain,
( spl21_261
| ~ spl21_8
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1447,f1412,f543,f2610]) ).
tff(f1447,plain,
( ! [X0: $i,X1: tp__o] :
( ( inj__o(X1) = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),inj__o(X1)) )
| ~ mem(X0,bool) )
| ~ spl21_8
| ~ spl21_152 ),
inference(resolution,[],[f1413,f544]) ).
tff(f2608,plain,
( spl21_260
| ~ spl21_97
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1388,f1376,f979,f2606]) ).
tff(f1388,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) )
| ~ spl21_97
| ~ spl21_146 ),
inference(resolution,[],[f1377,f980]) ).
tff(f2582,plain,
( spl21_259
| ~ spl21_9
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1506,f1486,f549,f2580]) ).
tff(f1506,plain,
( ! [X0: $i] :
( mem(sK20(bool,X0,c_2Ebool_2E_7E),bool)
| ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool)) )
| ~ spl21_9
| ~ spl21_157 ),
inference(resolution,[],[f1487,f551]) ).
tff(f2578,plain,
( spl21_258
| ~ spl21_7
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1464,f1416,f539,f2576]) ).
tff(f1464,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] :
( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),inj__ty_2Eextreal_2Eextreal(X1)) = X0 )
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl21_7
| ~ spl21_153 ),
inference(resolution,[],[f1417,f540]) ).
tff(f2574,plain,
( spl21_257
| ~ spl21_8
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1461,f1416,f543,f2572]) ).
tff(f1461,plain,
( ! [X0: $i,X1: tp__o] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),inj__o(X1)) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_8
| ~ spl21_153 ),
inference(resolution,[],[f1417,f544]) ).
tff(f2570,plain,
( spl21_256
| spl21_17
| ~ spl21_237 ),
inference(avatar_split_clause,[],[f2462,f2385,f594,f2568]) ).
tff(f2462,plain,
( ! [X0: tp__o] :
( sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) )
| spl21_17
| ~ spl21_237 ),
inference(resolution,[],[f2386,f596]) ).
tff(f2566,plain,
( spl21_255
| ~ spl21_75
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f988,f891,f887,f2564]) ).
tff(f2564,plain,
( spl21_255
<=> ! [X0: del,X1] : ( ap(k(arr(bool,arr(X0,arr(X0,X0))),X1),c_2Ebool_2ECOND(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_255])]) ).
tff(f988,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(bool,arr(X0,arr(X0,X0))),X1),c_2Ebool_2ECOND(X0)) = X1 )
| ~ spl21_75
| ~ spl21_76 ),
inference(resolution,[],[f892,f888]) ).
tff(f2562,plain,
( spl21_254
| ~ spl21_68
| ~ spl21_75 ),
inference(avatar_split_clause,[],[f982,f887,f825,f2560]) ).
tff(f2560,plain,
( spl21_254
<=> ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(i(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ECOND(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_254])]) ).
tff(f982,plain,
( ! [X0: del] : ( c_2Ebool_2ECOND(X0) = ap(i(arr(bool,arr(X0,arr(X0,X0)))),c_2Ebool_2ECOND(X0)) )
| ~ spl21_68
| ~ spl21_75 ),
inference(resolution,[],[f888,f826]) ).
tff(f2511,plain,
( spl21_253
| spl21_17
| ~ spl21_236 ),
inference(avatar_split_clause,[],[f2450,f2381,f594,f2509]) ).
tff(f2450,plain,
( ! [X0: tp__o] :
( sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK16,sK18))
| p(inj__o(X0)) )
| spl21_17
| ~ spl21_236 ),
inference(resolution,[],[f2382,f596]) ).
tff(f2447,plain,
( spl21_252
| ~ spl21_3
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1463,f1416,f519,f2445]) ).
tff(f1463,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2EF) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_3
| ~ spl21_153 ),
inference(resolution,[],[f1417,f521]) ).
tff(f2443,plain,
( spl21_251
| ~ spl21_4
| ~ spl21_153 ),
inference(avatar_split_clause,[],[f1462,f1416,f524,f2441]) ).
tff(f1462,plain,
( ! [X0: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2ET) = X0 )
| ~ mem(X0,bool) )
| ~ spl21_4
| ~ spl21_153 ),
inference(resolution,[],[f1417,f526]) ).
tff(f2439,plain,
( spl21_250
| ~ spl21_3
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1449,f1412,f519,f2437]) ).
tff(f1449,plain,
( ! [X0: $i] :
( ( c_2Ebool_2EF = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2EF) )
| ~ mem(X0,bool) )
| ~ spl21_3
| ~ spl21_152 ),
inference(resolution,[],[f1413,f521]) ).
tff(f2435,plain,
( spl21_249
| ~ spl21_72
| ~ spl21_229 ),
inference(avatar_split_clause,[],[f2349,f2283,f844,f2433]) ).
tff(f2349,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| ~ spl21_72
| ~ spl21_229 ),
inference(resolution,[],[f2285,f845]) ).
tff(f2431,plain,
( spl21_248
| ~ spl21_4
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f1448,f1412,f524,f2429]) ).
tff(f1448,plain,
( ! [X0: $i] :
( ( c_2Ebool_2ET = ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2ET) )
| ~ mem(X0,bool) )
| ~ spl21_4
| ~ spl21_152 ),
inference(resolution,[],[f1413,f526]) ).
tff(f2427,plain,
( spl21_247
| ~ spl21_62
| ~ spl21_130 ),
inference(avatar_split_clause,[],[f1299,f1193,f791,f2425]) ).
tff(f2425,plain,
( spl21_247
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP15(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_247])]) ).
tff(f791,plain,
( spl21_62
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ sP14(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
tff(f1193,plain,
( spl21_130
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_130])]) ).
tff(f1299,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP15(X2,X1,X0) )
| ~ spl21_62
| ~ spl21_130 ),
inference(resolution,[],[f1194,f792]) ).
tff(f792,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP14(X2,X1,X0)
| sP15(X0,X1,X2) )
| ~ spl21_62 ),
inference(avatar_component_clause,[],[f791]) ).
tff(f1194,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl21_130 ),
inference(avatar_component_clause,[],[f1193]) ).
tff(f2423,plain,
( spl21_246
| ~ spl21_62
| ~ spl21_129 ),
inference(avatar_split_clause,[],[f1291,f1189,f791,f2421]) ).
tff(f2421,plain,
( spl21_246
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| sP15(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_246])]) ).
tff(f1189,plain,
( spl21_129
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_129])]) ).
tff(f1291,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| sP15(X2,X1,X0) )
| ~ spl21_62
| ~ spl21_129 ),
inference(resolution,[],[f1190,f792]) ).
tff(f1190,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl21_129 ),
inference(avatar_component_clause,[],[f1189]) ).
tff(f2419,plain,
( spl21_245
| ~ spl21_62
| ~ spl21_128 ),
inference(avatar_split_clause,[],[f1283,f1185,f791,f2417]) ).
tff(f2417,plain,
( spl21_245
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP15(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_245])]) ).
tff(f1185,plain,
( spl21_128
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_128])]) ).
tff(f1283,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP15(X2,X0,X1) )
| ~ spl21_62
| ~ spl21_128 ),
inference(resolution,[],[f1186,f792]) ).
tff(f1186,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) )
| ~ spl21_128 ),
inference(avatar_component_clause,[],[f1185]) ).
tff(f2415,plain,
( spl21_244
| ~ spl21_62
| ~ spl21_127 ),
inference(avatar_split_clause,[],[f1275,f1178,f791,f2413]) ).
tff(f2413,plain,
( spl21_244
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP15(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_244])]) ).
tff(f1178,plain,
( spl21_127
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_127])]) ).
tff(f1275,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP15(X2,X1,X0) )
| ~ spl21_62
| ~ spl21_127 ),
inference(resolution,[],[f1179,f792]) ).
tff(f1179,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl21_127 ),
inference(avatar_component_clause,[],[f1178]) ).
tff(f2411,plain,
( spl21_243
| ~ spl21_57
| ~ spl21_120 ),
inference(avatar_split_clause,[],[f1260,f1150,f771,f2409]) ).
tff(f2409,plain,
( spl21_243
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP10(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_243])]) ).
tff(f771,plain,
( spl21_57
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X1,X2,X0)
| ~ sP9(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
tff(f1150,plain,
( spl21_120
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_120])]) ).
tff(f1260,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP10(X1,X0,X2) )
| ~ spl21_57
| ~ spl21_120 ),
inference(resolution,[],[f1151,f772]) ).
tff(f772,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP9(X2,X1,X0)
| sP10(X1,X2,X0) )
| ~ spl21_57 ),
inference(avatar_component_clause,[],[f771]) ).
tff(f1151,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl21_120 ),
inference(avatar_component_clause,[],[f1150]) ).
tff(f2407,plain,
( spl21_242
| ~ spl21_54
| ~ spl21_117 ),
inference(avatar_split_clause,[],[f1246,f1135,f759,f2405]) ).
tff(f2405,plain,
( spl21_242
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| sP7(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_242])]) ).
tff(f759,plain,
( spl21_54
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X1,X2,X0)
| ~ sP6(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
tff(f1135,plain,
( spl21_117
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_117])]) ).
tff(f1246,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| sP7(X1,X0,X2) )
| ~ spl21_54
| ~ spl21_117 ),
inference(resolution,[],[f1136,f760]) ).
tff(f760,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP6(X2,X1,X0)
| sP7(X1,X2,X0) )
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f759]) ).
tff(f1136,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl21_117 ),
inference(avatar_component_clause,[],[f1135]) ).
tff(f2403,plain,
( spl21_241
| ~ spl21_51
| ~ spl21_114 ),
inference(avatar_split_clause,[],[f1232,f1123,f747,f2401]) ).
tff(f2401,plain,
( spl21_241
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP4(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_241])]) ).
tff(f747,plain,
( spl21_51
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X2,X1)
| ~ sP3(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
tff(f1123,plain,
( spl21_114
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_114])]) ).
tff(f1232,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP4(X2,X0,X1) )
| ~ spl21_51
| ~ spl21_114 ),
inference(resolution,[],[f1124,f748]) ).
tff(f748,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP3(X2,X1,X0)
| sP4(X0,X2,X1) )
| ~ spl21_51 ),
inference(avatar_component_clause,[],[f747]) ).
tff(f1124,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl21_114 ),
inference(avatar_component_clause,[],[f1123]) ).
tff(f2399,plain,
( spl21_240
| ~ spl21_75
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1215,f1115,f887,f2397]) ).
tff(f1215,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2ECOND(X1),X0),arr(X1,arr(X1,X1))) )
| ~ spl21_75
| ~ spl21_112 ),
inference(resolution,[],[f1116,f888]) ).
tff(f2395,plain,
( spl21_239
| ~ spl21_71
| ~ spl21_97 ),
inference(avatar_split_clause,[],[f1032,f979,f840,f2393]) ).
tff(f1032,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP1(fo__c_2Eextreal_2Eextreal__le(X0,X1),X2) )
| ~ spl21_71
| ~ spl21_97 ),
inference(resolution,[],[f980,f841]) ).
tff(f2391,plain,
( spl21_238
| ~ spl21_73
| ~ spl21_229 ),
inference(avatar_split_clause,[],[f2348,f2283,f848,f2389]) ).
tff(f2348,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK18)) )
| ~ spl21_73
| ~ spl21_229 ),
inference(resolution,[],[f2285,f849]) ).
tff(f2387,plain,
( spl21_237
| ~ spl21_72
| ~ spl21_97 ),
inference(avatar_split_clause,[],[f1031,f979,f844,f2385]) ).
tff(f1031,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP1(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1)) )
| ~ spl21_72
| ~ spl21_97 ),
inference(resolution,[],[f980,f845]) ).
tff(f2383,plain,
( spl21_236
| ~ spl21_73
| ~ spl21_97 ),
inference(avatar_split_clause,[],[f1030,f979,f848,f2381]) ).
tff(f1030,plain,
( ! [X2: tp__o,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(X2))
| sP0(X2,fo__c_2Eextreal_2Eextreal__le(X0,X1)) )
| ~ spl21_73
| ~ spl21_97 ),
inference(resolution,[],[f980,f849]) ).
tff(f2358,plain,
( spl21_235
| ~ spl21_8
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f1213,f1111,f543,f2356]) ).
tff(f1111,plain,
( spl21_111
<=> ! [X0,X1] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_111])]) ).
tff(f1213,plain,
( ! [X0: tp__o,X1: $i] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_8
| ~ spl21_111 ),
inference(resolution,[],[f1112,f544]) ).
tff(f1112,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X1,bool)
| ~ p(X1)
| ~ p(X0)
| ( X0 = X1 )
| ~ mem(X0,bool) )
| ~ spl21_111 ),
inference(avatar_component_clause,[],[f1111]) ).
tff(f2354,plain,
( spl21_234
| ~ spl21_8
| ~ spl21_110 ),
inference(avatar_split_clause,[],[f1210,f1107,f543,f2352]) ).
tff(f1210,plain,
( ! [X0: tp__o,X1: $i] :
( p(inj__o(X0))
| p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl21_8
| ~ spl21_110 ),
inference(resolution,[],[f1108,f544]) ).
tff(f2346,plain,
( spl21_233
| ~ spl21_46
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f993,f891,f727,f2344]) ).
tff(f2344,plain,
( spl21_233
<=> ! [X0: del,X1] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_21(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_233])]) ).
tff(f993,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_21(X0)) = X1 )
| ~ spl21_46
| ~ spl21_76 ),
inference(resolution,[],[f892,f728]) ).
tff(f2342,plain,
( spl21_232
| ~ spl21_47
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f987,f891,f731,f2340]) ).
tff(f2340,plain,
( spl21_232
<=> ! [X0: del,X1] : ( ap(k(arr(X0,arr(X0,bool)),X1),c_2Emin_2E_3D(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_232])]) ).
tff(f987,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(X0,arr(X0,bool)),X1),c_2Emin_2E_3D(X0)) = X1 )
| ~ spl21_47
| ~ spl21_76 ),
inference(resolution,[],[f892,f732]) ).
tff(f2338,plain,
( spl21_231
| ~ spl21_46
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f864,f825,f727,f2336]) ).
tff(f2336,plain,
( spl21_231
<=> ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_231])]) ).
tff(f864,plain,
( ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(X0)) )
| ~ spl21_46
| ~ spl21_68 ),
inference(resolution,[],[f826,f728]) ).
tff(f2334,plain,
( spl21_230
| ~ spl21_47
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f859,f825,f731,f2332]) ).
tff(f2332,plain,
( spl21_230
<=> ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(i(arr(X0,arr(X0,bool))),c_2Emin_2E_3D(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_230])]) ).
tff(f859,plain,
( ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(i(arr(X0,arr(X0,bool))),c_2Emin_2E_3D(X0)) )
| ~ spl21_47
| ~ spl21_68 ),
inference(resolution,[],[f826,f732]) ).
tff(f2286,plain,
( spl21_229
| spl21_17
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2215,f2038,f594,f2283]) ).
tff(f2215,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK18)))
| spl21_17
| ~ spl21_204 ),
inference(resolution,[],[f2039,f596]) ).
tff(f2200,plain,
( spl21_228
| ~ spl21_46
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1220,f1115,f727,f2198]) ).
tff(f1220,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_21(X1),X0),bool) )
| ~ spl21_46
| ~ spl21_112 ),
inference(resolution,[],[f1116,f728]) ).
tff(f2196,plain,
( spl21_227
| ~ spl21_47
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1214,f1115,f731,f2194]) ).
tff(f1214,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,X1)
| mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool)) )
| ~ spl21_47
| ~ spl21_112 ),
inference(resolution,[],[f1116,f732]) ).
tff(f2192,plain,
( spl21_226
| ~ spl21_6
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1104,f1077,f534,f2190]) ).
tff(f1104,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_107 ),
inference(superposition,[],[f1078,f536]) ).
tff(f2188,plain,
( spl21_225
| ~ spl21_5
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1103,f1077,f529,f2186]) ).
tff(f1103,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_107 ),
inference(superposition,[],[f1078,f531]) ).
tff(f2184,plain,
( spl21_224
| ~ spl21_6
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1101,f1077,f534,f2182]) ).
tff(f1101,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_6
| ~ spl21_107 ),
inference(superposition,[],[f1078,f536]) ).
tff(f2180,plain,
( spl21_223
| ~ spl21_172
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1953,f1916,f1610,f2178]) ).
tff(f1953,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP0(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_172
| ~ spl21_188 ),
inference(resolution,[],[f1611,f1917]) ).
tff(f2176,plain,
( spl21_222
| ~ spl21_5
| ~ spl21_107 ),
inference(avatar_split_clause,[],[f1100,f1077,f529,f2174]) ).
tff(f1100,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_5
| ~ spl21_107 ),
inference(superposition,[],[f1078,f531]) ).
tff(f2172,plain,
( spl21_221
| ~ spl21_6
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1094,f1073,f534,f2170]) ).
tff(f1094,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_106 ),
inference(superposition,[],[f1074,f536]) ).
tff(f2168,plain,
( spl21_220
| ~ spl21_5
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1093,f1073,f529,f2166]) ).
tff(f1093,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_106 ),
inference(superposition,[],[f1074,f531]) ).
tff(f2164,plain,
( spl21_219
| ~ spl21_6
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1091,f1073,f534,f2162]) ).
tff(f1091,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_6
| ~ spl21_106 ),
inference(superposition,[],[f1074,f536]) ).
tff(f2160,plain,
( spl21_218
| ~ spl21_5
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1090,f1073,f529,f2158]) ).
tff(f1090,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_5
| ~ spl21_106 ),
inference(superposition,[],[f1074,f531]) ).
tff(f2156,plain,
( spl21_217
| ~ spl21_6
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1088,f1069,f534,f2154]) ).
tff(f1088,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_105 ),
inference(superposition,[],[f1070,f536]) ).
tff(f2152,plain,
( spl21_216
| ~ spl21_5
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1087,f1069,f529,f2150]) ).
tff(f1087,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_105 ),
inference(superposition,[],[f1070,f531]) ).
tff(f2148,plain,
( spl21_215
| ~ spl21_6
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1085,f1069,f534,f2146]) ).
tff(f1085,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl21_6
| ~ spl21_105 ),
inference(superposition,[],[f1070,f536]) ).
tff(f2144,plain,
( spl21_214
| ~ spl21_5
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f1084,f1069,f529,f2142]) ).
tff(f1084,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl21_5
| ~ spl21_105 ),
inference(superposition,[],[f1070,f531]) ).
tff(f2140,plain,
( spl21_213
| ~ spl21_25
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f995,f891,f640,f2138]) ).
tff(f2138,plain,
( spl21_213
<=> ! [X0] : ( ap(k(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)),X0),c_2Eextreal_2Eextreal__le) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_213])]) ).
tff(f995,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)),X0),c_2Eextreal_2Eextreal__le) = X0 )
| ~ spl21_25
| ~ spl21_76 ),
inference(resolution,[],[f892,f642]) ).
tff(f2136,plain,
( spl21_212
| ~ spl21_171
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1942,f1916,f1595,f2134]) ).
tff(f1942,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Eextreal_2Eextreal__le(X0,sK17),fo__c_2Ebool_2ET)
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_171
| ~ spl21_188 ),
inference(resolution,[],[f1596,f1917]) ).
tff(f2132,plain,
( spl21_211
| ~ spl21_24
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f994,f891,f635,f2130]) ).
tff(f2130,plain,
( spl21_211
<=> ! [X0] : ( ap(k(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),X0),c_2Eextreal_2Eextreal__max) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_211])]) ).
tff(f994,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),X0),c_2Eextreal_2Eextreal__max) = X0 )
| ~ spl21_24
| ~ spl21_76 ),
inference(resolution,[],[f892,f637]) ).
tff(f2128,plain,
( spl21_210
| ~ spl21_21
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f991,f891,f620,f2126]) ).
tff(f2126,plain,
( spl21_210
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_210])]) ).
tff(f991,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C) = X0 )
| ~ spl21_21
| ~ spl21_76 ),
inference(resolution,[],[f892,f622]) ).
tff(f2124,plain,
( spl21_209
| ~ spl21_23
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f990,f891,f630,f2122]) ).
tff(f2122,plain,
( spl21_209
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_5C_2F) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_209])]) ).
tff(f990,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_5C_2F) = X0 )
| ~ spl21_23
| ~ spl21_76 ),
inference(resolution,[],[f892,f632]) ).
tff(f2120,plain,
( spl21_208
| ~ spl21_22
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f989,f891,f625,f2118]) ).
tff(f2118,plain,
( spl21_208
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_208])]) ).
tff(f989,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E) = X0 )
| ~ spl21_22
| ~ spl21_76 ),
inference(resolution,[],[f892,f627]) ).
tff(f2116,plain,
( spl21_207
| ~ spl21_45
| ~ spl21_67 ),
inference(avatar_split_clause,[],[f853,f821,f723,f2114]) ).
tff(f853,plain,
( ! [X0: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool) )
| ~ spl21_45
| ~ spl21_67 ),
inference(superposition,[],[f822,f724]) ).
tff(f2112,plain,
( spl21_206
| ~ spl21_45
| ~ spl21_66 ),
inference(avatar_split_clause,[],[f851,f817,f723,f2110]) ).
tff(f817,plain,
( spl21_66
<=> ! [X0] :
( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).
tff(f851,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool) )
| ~ spl21_45
| ~ spl21_66 ),
inference(superposition,[],[f818,f724]) ).
tff(f818,plain,
( ! [X0: $i] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ p(X0)
| ~ mem(X0,bool) )
| ~ spl21_66 ),
inference(avatar_component_clause,[],[f817]) ).
tff(f2081,plain,
( spl21_205
| ~ spl21_170
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1931,f1916,f1580,f2079]) ).
tff(f1931,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(X0,sK17))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_170
| ~ spl21_188 ),
inference(resolution,[],[f1581,f1917]) ).
tff(f2040,plain,
( spl21_204
| ~ spl21_97
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1919,f1916,f979,f2038]) ).
tff(f1919,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,X0))) )
| ~ spl21_97
| ~ spl21_188 ),
inference(resolution,[],[f1917,f980]) ).
tff(f2035,plain,
( spl21_202
| spl21_203
| ~ spl21_9
| ~ spl21_145 ),
inference(avatar_split_clause,[],[f1385,f1372,f549,f2032,f2028]) ).
tff(f2032,plain,
( spl21_203
<=> mem(sK19(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_203])]) ).
tff(f1385,plain,
( mem(sK19(bool,c_2Ebool_2E_7E),bool)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ spl21_9
| ~ spl21_145 ),
inference(resolution,[],[f1373,f551]) ).
tff(f2026,plain,
( spl21_201
| ~ spl21_25
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1222,f1115,f640,f2024]) ).
tff(f1222,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(ap(c_2Eextreal_2Eextreal__le,X0),arr(ty_2Eextreal_2Eextreal,bool)) )
| ~ spl21_25
| ~ spl21_112 ),
inference(resolution,[],[f1116,f642]) ).
tff(f2022,plain,
( spl21_200
| ~ spl21_24
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1221,f1115,f635,f2020]) ).
tff(f1221,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| mem(ap(c_2Eextreal_2Eextreal__max,X0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) )
| ~ spl21_24
| ~ spl21_112 ),
inference(resolution,[],[f1116,f637]) ).
tff(f2018,plain,
( spl21_199
| ~ spl21_21
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1218,f1115,f620,f2016]) ).
tff(f1218,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool)) )
| ~ spl21_21
| ~ spl21_112 ),
inference(resolution,[],[f1116,f622]) ).
tff(f2014,plain,
( spl21_198
| ~ spl21_23
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1217,f1115,f630,f2012]) ).
tff(f1217,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_5C_2F,X0),arr(bool,bool)) )
| ~ spl21_23
| ~ spl21_112 ),
inference(resolution,[],[f1116,f632]) ).
tff(f2010,plain,
( spl21_197
| ~ spl21_22
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1216,f1115,f625,f2008]) ).
tff(f1216,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool)) )
| ~ spl21_22
| ~ spl21_112 ),
inference(resolution,[],[f1116,f627]) ).
tff(f1999,plain,
( spl21_196
| ~ spl21_2
| ~ spl21_4
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f1212,f1111,f524,f514,f1997]) ).
tff(f1212,plain,
( ! [X0: $i] :
( ~ p(c_2Ebool_2ET)
| ~ p(X0)
| ( c_2Ebool_2ET = X0 )
| ~ mem(X0,bool) )
| ~ spl21_4
| ~ spl21_111 ),
inference(resolution,[],[f1112,f526]) ).
tff(f1990,plain,
( spl21_195
| spl21_1
| ~ spl21_3
| ~ spl21_110 ),
inference(avatar_split_clause,[],[f1208,f1107,f519,f509,f1988]) ).
tff(f1208,plain,
( ! [X0: $i] :
( p(c_2Ebool_2EF)
| p(X0)
| ( c_2Ebool_2EF = X0 )
| ~ mem(X0,bool) )
| ~ spl21_3
| ~ spl21_110 ),
inference(resolution,[],[f1108,f521]) ).
tff(f1986,plain,
( spl21_194
| ~ spl21_57
| ~ spl21_95 ),
inference(avatar_split_clause,[],[f1026,f971,f771,f1984]) ).
tff(f1984,plain,
( spl21_194
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP10(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_194])]) ).
tff(f971,plain,
( spl21_95
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).
tff(f1026,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP10(X2,X0,X1) )
| ~ spl21_57
| ~ spl21_95 ),
inference(resolution,[],[f972,f772]) ).
tff(f972,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) )
| ~ spl21_95 ),
inference(avatar_component_clause,[],[f971]) ).
tff(f1982,plain,
( spl21_193
| ~ spl21_57
| ~ spl21_94 ),
inference(avatar_split_clause,[],[f1022,f967,f771,f1980]) ).
tff(f1980,plain,
( spl21_193
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| sP10(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_193])]) ).
tff(f967,plain,
( spl21_94
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_94])]) ).
tff(f1022,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| sP10(X0,X2,X1) )
| ~ spl21_57
| ~ spl21_94 ),
inference(resolution,[],[f968,f772]) ).
tff(f968,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl21_94 ),
inference(avatar_component_clause,[],[f967]) ).
tff(f1978,plain,
( spl21_192
| ~ spl21_54
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f1014,f944,f759,f1976]) ).
tff(f1976,plain,
( spl21_192
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP7(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_192])]) ).
tff(f944,plain,
( spl21_89
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_89])]) ).
tff(f1014,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP7(X2,X0,X1) )
| ~ spl21_54
| ~ spl21_89 ),
inference(resolution,[],[f945,f760]) ).
tff(f945,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) )
| ~ spl21_89 ),
inference(avatar_component_clause,[],[f944]) ).
tff(f1974,plain,
( spl21_191
| ~ spl21_54
| ~ spl21_88 ),
inference(avatar_split_clause,[],[f1010,f940,f759,f1972]) ).
tff(f1972,plain,
( spl21_191
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP7(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_191])]) ).
tff(f940,plain,
( spl21_88
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_88])]) ).
tff(f1010,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP7(X0,X2,X1) )
| ~ spl21_54
| ~ spl21_88 ),
inference(resolution,[],[f941,f760]) ).
tff(f941,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl21_88 ),
inference(avatar_component_clause,[],[f940]) ).
tff(f1970,plain,
( spl21_190
| ~ spl21_51
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f1006,f915,f747,f1968]) ).
tff(f1968,plain,
( spl21_190
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP4(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_190])]) ).
tff(f915,plain,
( spl21_82
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).
tff(f1006,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP4(X1,X0,X2) )
| ~ spl21_51
| ~ spl21_82 ),
inference(resolution,[],[f916,f748]) ).
tff(f916,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) )
| ~ spl21_82 ),
inference(avatar_component_clause,[],[f915]) ).
tff(f1966,plain,
( spl21_189
| ~ spl21_51
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f1002,f911,f747,f1964]) ).
tff(f1964,plain,
( spl21_189
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP4(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_189])]) ).
tff(f911,plain,
( spl21_81
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
tff(f1002,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP4(X1,X2,X0) )
| ~ spl21_51
| ~ spl21_81 ),
inference(resolution,[],[f912,f748]) ).
tff(f912,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl21_81 ),
inference(avatar_component_clause,[],[f911]) ).
tff(f1962,plain,
( ~ spl21_14
| ~ spl21_2
| ~ spl21_5
| ~ spl21_70
| ~ spl21_178 ),
inference(avatar_split_clause,[],[f1832,f1673,f833,f529,f514,f576]) ).
tff(f1832,plain,
( ~ p(c_2Ebool_2ET)
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ spl21_5
| ~ spl21_70
| ~ spl21_178 ),
inference(forward_demodulation,[],[f1831,f531]) ).
tff(f1831,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ p(inj__o(fo__c_2Ebool_2ET))
| ~ spl21_70
| ~ spl21_178 ),
inference(resolution,[],[f1675,f834]) ).
tff(f1675,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK17,sK16))
| ~ spl21_178 ),
inference(avatar_component_clause,[],[f1673]) ).
tff(f1918,plain,
( spl21_188
| ~ spl21_14
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1678,f1376,f576,f1916]) ).
tff(f1678,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK17)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16))) )
| ~ spl21_14
| ~ spl21_146 ),
inference(resolution,[],[f578,f1377]) ).
tff(f1898,plain,
( spl21_187
| ~ spl21_14
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f881,f848,f576,f1896]) ).
tff(f1896,plain,
( spl21_187
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_187])]) ).
tff(f881,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP0(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ spl21_14
| ~ spl21_73 ),
inference(resolution,[],[f849,f578]) ).
tff(f1759,plain,
( spl21_186
| spl21_17
| ~ spl21_172 ),
inference(avatar_split_clause,[],[f1613,f1610,f594,f1756]) ).
tff(f1613,plain,
( sP0(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET)
| spl21_17
| ~ spl21_172 ),
inference(resolution,[],[f1611,f596]) ).
tff(f1732,plain,
( spl21_185
| spl21_17
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1598,f1595,f594,f1729]) ).
tff(f1598,plain,
( sP1(fo__c_2Eextreal_2Eextreal__le(sK18,sK16),fo__c_2Ebool_2ET)
| spl21_17
| ~ spl21_171 ),
inference(resolution,[],[f1596,f596]) ).
tff(f1719,plain,
( spl21_17
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
tff(f1712,plain,
( $false
| spl21_17
| ~ spl21_98 ),
inference(resolution,[],[f998,f596]) ).
tff(f998,plain,
( ! [X0: tp__o] : p(inj__o(X0))
| ~ spl21_98 ),
inference(avatar_component_clause,[],[f997]) ).
tff(f1718,plain,
( spl21_14
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
tff(f1713,plain,
( $false
| spl21_14
| ~ spl21_98 ),
inference(resolution,[],[f998,f577]) ).
tff(f1711,plain,
( spl21_184
| ~ spl21_25
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f866,f825,f640,f1708]) ).
tff(f1708,plain,
( spl21_184
<=> ( c_2Eextreal_2Eextreal__le = ap(i(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_184])]) ).
tff(f866,plain,
( ( c_2Eextreal_2Eextreal__le = ap(i(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Eextreal_2Eextreal__le) )
| ~ spl21_25
| ~ spl21_68 ),
inference(resolution,[],[f826,f642]) ).
tff(f1706,plain,
( spl21_183
| ~ spl21_24
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f865,f825,f635,f1703]) ).
tff(f1703,plain,
( spl21_183
<=> ( c_2Eextreal_2Eextreal__max = ap(i(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Eextreal_2Eextreal__max) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_183])]) ).
tff(f865,plain,
( ( c_2Eextreal_2Eextreal__max = ap(i(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Eextreal_2Eextreal__max) )
| ~ spl21_24
| ~ spl21_68 ),
inference(resolution,[],[f826,f637]) ).
tff(f1701,plain,
( spl21_182
| ~ spl21_21
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f862,f825,f620,f1698]) ).
tff(f1698,plain,
( spl21_182
<=> ( c_2Ebool_2E_2F_5C = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_182])]) ).
tff(f862,plain,
( ( c_2Ebool_2E_2F_5C = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_2F_5C) )
| ~ spl21_21
| ~ spl21_68 ),
inference(resolution,[],[f826,f622]) ).
tff(f1696,plain,
( spl21_181
| ~ spl21_23
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f861,f825,f630,f1693]) ).
tff(f1693,plain,
( spl21_181
<=> ( c_2Ebool_2E_5C_2F = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_181])]) ).
tff(f861,plain,
( ( c_2Ebool_2E_5C_2F = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_5C_2F) )
| ~ spl21_23
| ~ spl21_68 ),
inference(resolution,[],[f826,f632]) ).
tff(f1691,plain,
( spl21_180
| ~ spl21_22
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f860,f825,f625,f1688]) ).
tff(f1688,plain,
( spl21_180
<=> ( c_2Emin_2E_3D_3D_3E = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_180])]) ).
tff(f860,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D_3D_3E) )
| ~ spl21_22
| ~ spl21_68 ),
inference(resolution,[],[f826,f627]) ).
tff(f1686,plain,
( spl21_179
| ~ spl21_9
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f992,f891,f549,f1684]) ).
tff(f1684,plain,
( spl21_179
<=> ! [X0] : ( ap(k(arr(bool,bool),X0),c_2Ebool_2E_7E) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_179])]) ).
tff(f992,plain,
( ! [X0: $i] : ( ap(k(arr(bool,bool),X0),c_2Ebool_2E_7E) = X0 )
| ~ spl21_9
| ~ spl21_76 ),
inference(resolution,[],[f892,f551]) ).
tff(f1682,plain,
( ~ spl21_14
| spl21_13 ),
inference(avatar_split_clause,[],[f926,f568,f576]) ).
tff(f926,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| spl21_13 ),
inference(forward_demodulation,[],[f569,f341]) ).
tff(f341,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X8,X9)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X8)),inj__ty_2Eextreal_2Eextreal(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Eextreal_2Eextreal__le) ).
tff(f1676,plain,
( spl21_178
| spl21_14
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1584,f1580,f576,f1673]) ).
tff(f1655,plain,
( spl21_177
| ~ spl21_9
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f1219,f1115,f549,f1653]) ).
tff(f1219,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_7E,X0),bool) )
| ~ spl21_9
| ~ spl21_112 ),
inference(resolution,[],[f1116,f551]) ).
tff(f1645,plain,
( spl21_176
| ~ spl21_17
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f1639,f848,f594,f1643]) ).
tff(f1636,plain,
( spl21_175
| spl21_17
| ~ spl21_170 ),
inference(avatar_split_clause,[],[f1583,f1580,f594,f1633]) ).
tff(f1583,plain,
( sP1(fo__c_2Ebool_2ET,fo__c_2Eextreal_2Eextreal__le(sK18,sK16))
| spl21_17
| ~ spl21_170 ),
inference(resolution,[],[f1581,f596]) ).
tff(f1631,plain,
( spl21_174
| ~ spl21_7
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f986,f891,f539,f1629]) ).
tff(f1629,plain,
( spl21_174
<=> ! [X0,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(k(ty_2Eextreal_2Eextreal,X0),inj__ty_2Eextreal_2Eextreal(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_174])]) ).
tff(f986,plain,
( ! [X0: $i,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(k(ty_2Eextreal_2Eextreal,X0),inj__ty_2Eextreal_2Eextreal(X1)) = X0 )
| ~ spl21_7
| ~ spl21_76 ),
inference(resolution,[],[f892,f540]) ).
tff(f1627,plain,
( spl21_173
| ~ spl21_8
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f985,f891,f543,f1625]) ).
tff(f985,plain,
( ! [X0: $i,X1: tp__o] : ( ap(k(bool,X0),inj__o(X1)) = X0 )
| ~ spl21_8
| ~ spl21_76 ),
inference(resolution,[],[f892,f544]) ).
tff(f1612,plain,
( spl21_172
| ~ spl21_2
| ~ spl21_5
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f883,f848,f529,f514,f1610]) ).
tff(f883,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP0(X0,fo__c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_73 ),
inference(superposition,[],[f849,f531]) ).
tff(f1597,plain,
( spl21_171
| ~ spl21_2
| ~ spl21_5
| ~ spl21_72 ),
inference(avatar_split_clause,[],[f874,f844,f529,f514,f1595]) ).
tff(f874,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP1(X0,fo__c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_72 ),
inference(superposition,[],[f845,f531]) ).
tff(f1582,plain,
( spl21_170
| ~ spl21_2
| ~ spl21_5
| ~ spl21_71 ),
inference(avatar_split_clause,[],[f869,f840,f529,f514,f1580]) ).
tff(f869,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP1(fo__c_2Ebool_2ET,X0) )
| ~ spl21_5
| ~ spl21_71 ),
inference(superposition,[],[f841,f531]) ).
tff(f1578,plain,
( spl21_169
| ~ spl21_9
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f863,f825,f549,f1575]) ).
tff(f1575,plain,
( spl21_169
<=> ( c_2Ebool_2E_7E = ap(i(arr(bool,bool)),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_169])]) ).
tff(f863,plain,
( ( c_2Ebool_2E_7E = ap(i(arr(bool,bool)),c_2Ebool_2E_7E) )
| ~ spl21_9
| ~ spl21_68 ),
inference(resolution,[],[f826,f551]) ).
tff(f1573,plain,
( spl21_168
| ~ spl21_7
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f858,f825,f539,f1571]) ).
tff(f1571,plain,
( spl21_168
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(i(ty_2Eextreal_2Eextreal),inj__ty_2Eextreal_2Eextreal(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_168])]) ).
tff(f858,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(X0) = ap(i(ty_2Eextreal_2Eextreal),inj__ty_2Eextreal_2Eextreal(X0)) )
| ~ spl21_7
| ~ spl21_68 ),
inference(resolution,[],[f826,f540]) ).
tff(f1563,plain,
( spl21_167
| ~ spl21_8
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f857,f825,f543,f1561]) ).
tff(f857,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(i(bool),inj__o(X0)) )
| ~ spl21_8
| ~ spl21_68 ),
inference(resolution,[],[f826,f544]) ).
tff(f1559,plain,
( spl21_166
| ~ spl21_4
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f984,f891,f524,f1557]) ).
tff(f1557,plain,
( spl21_166
<=> ! [X0] : ( ap(k(bool,X0),c_2Ebool_2ET) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_166])]) ).
tff(f984,plain,
( ! [X0: $i] : ( ap(k(bool,X0),c_2Ebool_2ET) = X0 )
| ~ spl21_4
| ~ spl21_76 ),
inference(resolution,[],[f892,f526]) ).
tff(f1555,plain,
( spl21_165
| ~ spl21_3
| ~ spl21_76 ),
inference(avatar_split_clause,[],[f983,f891,f519,f1553]) ).
tff(f1553,plain,
( spl21_165
<=> ! [X0] : ( ap(k(bool,X0),c_2Ebool_2EF) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_165])]) ).
tff(f983,plain,
( ! [X0: $i] : ( ap(k(bool,X0),c_2Ebool_2EF) = X0 )
| ~ spl21_3
| ~ spl21_76 ),
inference(resolution,[],[f892,f521]) ).
tff(f1539,plain,
( spl21_164
| ~ spl21_4
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f856,f825,f524,f1536]) ).
tff(f1536,plain,
( spl21_164
<=> ( c_2Ebool_2ET = ap(i(bool),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_164])]) ).
tff(f856,plain,
( ( c_2Ebool_2ET = ap(i(bool),c_2Ebool_2ET) )
| ~ spl21_4
| ~ spl21_68 ),
inference(resolution,[],[f826,f526]) ).
tff(f1534,plain,
( spl21_163
| ~ spl21_3
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f855,f825,f519,f1531]) ).
tff(f1531,plain,
( spl21_163
<=> ( c_2Ebool_2EF = ap(i(bool),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_163])]) ).
tff(f855,plain,
( ( c_2Ebool_2EF = ap(i(bool),c_2Ebool_2EF) )
| ~ spl21_3
| ~ spl21_68 ),
inference(resolution,[],[f826,f521]) ).
tff(f1529,plain,
( spl21_162
| ~ spl21_97
| ~ spl21_154 ),
inference(avatar_split_clause,[],[f1482,f1425,f979,f1527]) ).
tff(f1482,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK16)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),X0))) )
| ~ spl21_97
| ~ spl21_154 ),
inference(resolution,[],[f1426,f980]) ).
tff(f1523,plain,
spl21_161,
inference(avatar_split_clause,[],[f393,f1521]) ).
tff(f1521,plain,
( spl21_161
<=> ! [X0: del,X3,X2,X1: del] :
( ( X2 = X3 )
| ( ap(X2,sK20(X0,X2,X3)) != ap(X3,sK20(X0,X2,X3)) )
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_161])]) ).
tff(f393,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ( X2 = X3 )
| ( ap(X2,sK20(X0,X2,X3)) != ap(X3,sK20(X0,X2,X3)) )
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
tff(f230,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ( ( ap(X2,sK20(X0,X2,X3)) != ap(X3,sK20(X0,X2,X3)) )
& mem(sK20(X0,X2,X3),X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f165,f229]) ).
tff(f229,plain,
! [X0: del,X2,X3] :
( ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
=> ( ( ap(X2,sK20(X0,X2,X3)) != ap(X3,sK20(X0,X2,X3)) )
& mem(sK20(X0,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f165,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(flattening,[],[f164]) ).
tff(f164,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,arr(X0,X1))
=> ( ! [X4] :
( mem(X4,X0)
=> ( ap(X2,X4) = ap(X3,X4) ) )
=> ( X2 = X3 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X6] :
( mem(X6,arr(X0,X1))
=> ( ! [X3] :
( mem(X3,X0)
=> ( ap(X2,X3) = ap(X6,X3) ) )
=> ( X2 = X6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).
tff(f1500,plain,
spl21_160,
inference(avatar_split_clause,[],[f464,f1498]) ).
tff(f464,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ),
inference(cnf_transformation,[],[f264]) ).
tff(f264,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP15(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP13(X0,X2,X1)
& sP12(X1,X2,X0)
& sP11(X2,X1,X0) )
| ~ sP15(X0,X1,X2) ) ),
inference(flattening,[],[f263]) ).
tff(f263,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP15(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP13(X0,X2,X1)
& sP12(X1,X2,X0)
& sP11(X2,X1,X0) )
| ~ sP15(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP15(X0,X1,X2)
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP13(X0,X2,X1)
& sP12(X1,X2,X0)
& sP11(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
tff(f1496,plain,
spl21_159,
inference(avatar_split_clause,[],[f463,f1494]) ).
tff(f463,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ),
inference(cnf_transformation,[],[f264]) ).
tff(f1492,plain,
spl21_158,
inference(avatar_split_clause,[],[f462,f1490]) ).
tff(f462,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ p(inj__o(X2))
| ~ sP13(X0,X2,X1)
| ~ sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ),
inference(cnf_transformation,[],[f264]) ).
tff(f1488,plain,
spl21_157,
inference(avatar_split_clause,[],[f392,f1486]) ).
tff(f392,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ( X2 = X3 )
| mem(sK20(X0,X2,X3),X0)
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
tff(f1481,plain,
spl21_156,
inference(avatar_split_clause,[],[f500,f1479]) ).
tff(f500,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( fo__c_2Eextreal_2Eextreal__max(X0,X1) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(forward_demodulation,[],[f499,f297]) ).
tff(f297,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X3: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_ty_2Eextreal_2Eextreal) ).
tff(f499,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1))) ),
inference(forward_demodulation,[],[f498,f337]) ).
tff(f337,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ),
inference(cnf_transformation,[],[f108]) ).
tff(f108,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X8,X9)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X8)),inj__ty_2Eextreal_2Eextreal(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Eextreal_2Eextreal__max) ).
tff(f498,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(forward_demodulation,[],[f342,f341]) ).
tff(f342,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X14: tp__ty_2Eextreal_2Eextreal,X15: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))),inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X14))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).
tff(f1477,plain,
spl21_155,
inference(avatar_split_clause,[],[f359,f1475]) ).
tff(f359,plain,
! [X3: $i,X0: del,X1: $i] :
( p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ( ~ p(ap(X1,sK19(X0,X1)))
& mem(sK19(X0,X1),X0) ) )
& ( ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f214,f215]) ).
tff(f215,plain,
! [X0: del,X1] :
( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
=> ( ~ p(ap(X1,sK19(X0,X1)))
& mem(sK19(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f214,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) ) )
& ( ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(rectify,[],[f213]) ).
tff(f213,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) ) )
& ( ! [X2] :
( p(ap(X1,X2))
| ~ mem(X2,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(nnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: del,X1] :
( ( p(ap(c_2Ebool_2E_21(X0),X1))
<=> ! [X2] :
( p(ap(X1,X2))
| ~ mem(X2,X0) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_21(X0),X1))
<=> ! [X2] :
( mem(X2,X0)
=> p(ap(X1,X2)) ) ) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X0: del,X4] :
( mem(X4,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_21(X0),X4))
<=> ! [X3] :
( mem(X3,X0)
=> p(ap(X4,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p) ).
tff(f1427,plain,
( spl21_154
| ~ spl21_15
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1387,f1376,f581,f1425]) ).
tff(f1418,plain,
spl21_153,
inference(avatar_split_clause,[],[f504,f1416]) ).
tff(f504,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(forward_demodulation,[],[f353,f284]) ).
tff(f284,plain,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2ET) ).
tff(f353,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 ) )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: del,X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 ) ) ) ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X10: del,X11] :
( mem(X11,X10)
=> ! [X12] :
( mem(X12,X10)
=> ( ( ap(ap(ap(c_2Ebool_2ECOND(X10),inj__o(fo__c_2Ebool_2EF)),X11),X12) = X12 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X10),inj__o(fo__c_2Ebool_2ET)),X11),X12) = X11 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).
tff(f1414,plain,
spl21_152,
inference(avatar_split_clause,[],[f503,f1412]) ).
tff(f503,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(forward_demodulation,[],[f354,f285]) ).
tff(f285,plain,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2EF) ).
tff(f354,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f154]) ).
tff(f1410,plain,
spl21_151,
inference(avatar_split_clause,[],[f361,f1408]) ).
tff(f361,plain,
! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ p(ap(X1,sK19(X0,X1)))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f216]) ).
tff(f1406,plain,
spl21_150,
inference(avatar_split_clause,[],[f357,f1404]) ).
tff(f1404,plain,
( spl21_150
<=> ! [X2,X0: del,X1] :
( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ~ mem(X2,X0)
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_150])]) ).
tff(f357,plain,
! [X2: $i,X0: del,X1: $i] :
( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f212]) ).
tff(f212,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ( X1 != X2 ) )
& ( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2)) ) )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) ),
inference(nnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: del,X1] :
( ! [X2] :
( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
<=> ( X1 = X2 ) )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: del,X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
<=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X0: del,X3] :
( mem(X3,X0)
=> ! [X7] :
( mem(X7,X0)
=> ( p(ap(ap(c_2Emin_2E_3D(X0),X3),X7))
<=> ( X3 = X7 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_eq_p) ).
tff(f1402,plain,
spl21_149,
inference(avatar_split_clause,[],[f330,f1400]) ).
tff(f330,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f206]) ).
tff(f206,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
<=> ( p(X1)
| ~ p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
<=> ( p(X0)
=> p(X1) ) ) ) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X4),X5))
<=> ( p(X4)
=> p(X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_imp_p) ).
tff(f1398,plain,
spl21_148,
inference(avatar_split_clause,[],[f327,f1396]) ).
tff(f327,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f205]) ).
tff(f205,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f204]) ).
tff(f204,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
<=> ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
<=> ( p(X1)
| p(X0) ) ) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Ebool_2E_5C_2F,X4),X5))
<=> ( p(X5)
| p(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_or_p) ).
tff(f1394,plain,
spl21_147,
inference(avatar_split_clause,[],[f326,f1392]) ).
tff(f326,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f203]) ).
tff(f203,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f202]) ).
tff(f202,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
<=> ( p(X1)
& p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f96]) ).
tff(f96,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
<=> ( p(X1)
& p(X0) ) ) ) ),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Ebool_2E_2F_5C,X4),X5))
<=> ( p(X5)
& p(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_and_p) ).
tff(f1378,plain,
spl21_146,
inference(avatar_split_clause,[],[f507,f1376]) ).
tff(f507,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2))) ),
inference(forward_demodulation,[],[f506,f341]) ).
tff(f506,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(forward_demodulation,[],[f505,f341]) ).
tff(f505,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(forward_demodulation,[],[f394,f341]) ).
tff(f394,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(flattening,[],[f166]) ).
tff(f166,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2))) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X14: tp__ty_2Eextreal_2Eextreal,X15: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X19)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X19))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
tff(f1374,plain,
spl21_145,
inference(avatar_split_clause,[],[f360,f1372]) ).
tff(f360,plain,
! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| mem(sK19(X0,X1),X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f216]) ).
tff(f1356,plain,
( spl21_144
| ~ spl21_8
| ~ spl21_64 ),
inference(avatar_split_clause,[],[f838,f802,f543,f1353]) ).
tff(f1353,plain,
( spl21_144
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_144])]) ).
tff(f838,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool)
| ~ spl21_8
| ~ spl21_64 ),
inference(superposition,[],[f544,f804]) ).
tff(f1350,plain,
spl21_143,
inference(avatar_split_clause,[],[f445,f1348]) ).
tff(f1348,plain,
( spl21_143
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_143])]) ).
tff(f445,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f255]) ).
tff(f255,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| ( p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X2)) ) )
& ( ( sP8(X2,X1,X0)
& ( ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( p(inj__o(X0))
| p(inj__o(X2)) ) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f254]) ).
tff(f254,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP10(X1,X2,X0)
| ~ sP8(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP8(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP10(X1,X2,X0) ) ),
inference(flattening,[],[f253]) ).
tff(f253,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP10(X1,X2,X0)
| ~ sP8(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP8(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP10(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP10(X1,X2,X0)
<=> ( sP8(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
tff(f1346,plain,
spl21_142,
inference(avatar_split_clause,[],[f426,f1344]) ).
tff(f1344,plain,
( spl21_142
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_142])]) ).
tff(f426,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| p(inj__o(X1))
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f245]) ).
tff(f245,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| ( p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) ) )
& ( ( sP5(X2,X1,X0)
& ( ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2)) ) )
| ~ sP7(X0,X1,X2) ) ),
inference(rectify,[],[f244]) ).
tff(f244,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP7(X1,X2,X0)
| ~ sP5(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP5(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP7(X1,X2,X0) ) ),
inference(flattening,[],[f243]) ).
tff(f243,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP7(X1,X2,X0)
| ~ sP5(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP5(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP7(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f179]) ).
tff(f179,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP7(X1,X2,X0)
<=> ( sP5(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
tff(f1342,plain,
spl21_141,
inference(avatar_split_clause,[],[f404,f1340]) ).
tff(f1340,plain,
( spl21_141
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP2(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_141])]) ).
tff(f404,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f235]) ).
tff(f235,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP4(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ~ sP2(X1,X2,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& sP2(X1,X2,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f234]) ).
tff(f234,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP4(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ sP2(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP2(X2,X1,X0) )
| ~ sP4(X0,X2,X1) ) ),
inference(flattening,[],[f233]) ).
tff(f233,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP4(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ sP2(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP2(X2,X1,X0) )
| ~ sP4(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f175]) ).
tff(f175,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP4(X0,X2,X1)
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP2(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f1338,plain,
spl21_140,
inference(avatar_split_clause,[],[f332,f1336]) ).
tff(f332,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f207]) ).
tff(f1334,plain,
spl21_139,
inference(avatar_split_clause,[],[f331,f1332]) ).
tff(f331,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f207]) ).
tff(f1330,plain,
spl21_138,
inference(avatar_split_clause,[],[f329,f1328]) ).
tff(f329,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f205]) ).
tff(f1326,plain,
spl21_137,
inference(avatar_split_clause,[],[f328,f1324]) ).
tff(f328,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f205]) ).
tff(f1322,plain,
spl21_136,
inference(avatar_split_clause,[],[f325,f1320]) ).
tff(f325,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f203]) ).
tff(f1318,plain,
spl21_135,
inference(avatar_split_clause,[],[f324,f1316]) ).
tff(f324,plain,
! [X0: $i,X1: $i] :
( p(X0)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f203]) ).
tff(f1270,plain,
( spl21_134
| ~ spl21_97 ),
inference(avatar_split_clause,[],[f1038,f979,f1268]) ).
tff(f1038,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] : p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0)))
| ~ spl21_97 ),
inference(factoring,[],[f980]) ).
tff(f1207,plain,
spl21_133,
inference(avatar_split_clause,[],[f481,f1205]) ).
tff(f1205,plain,
( spl21_133
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_133])]) ).
tff(f481,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP11(X0,X1,X2)
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP11(X0,X1,X2) ) ),
inference(rectify,[],[f274]) ).
tff(f274,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP11(X2,X1,X0)
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0))
| ~ sP11(X2,X1,X0) ) ),
inference(flattening,[],[f273]) ).
tff(f273,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP11(X2,X1,X0)
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0))
| ~ sP11(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f185]) ).
tff(f185,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP11(X2,X1,X0)
<=> ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
tff(f1203,plain,
spl21_132,
inference(avatar_split_clause,[],[f477,f1201]) ).
tff(f1201,plain,
( spl21_132
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_132])]) ).
tff(f477,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tff(f272,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP12(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ) ),
inference(rectify,[],[f271]) ).
tff(f271,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP12(X1,X2,X0)
| ( p(inj__o(X1))
& p(inj__o(X2))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0))
| ~ sP12(X1,X2,X0) ) ),
inference(flattening,[],[f270]) ).
tff(f270,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP12(X1,X2,X0)
| ( p(inj__o(X1))
& p(inj__o(X2))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0))
| ~ sP12(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP12(X1,X2,X0)
<=> ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
tff(f1199,plain,
spl21_131,
inference(avatar_split_clause,[],[f473,f1197]) ).
tff(f1197,plain,
( spl21_131
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_131])]) ).
tff(f473,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f269]) ).
tff(f269,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP13(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ) ),
inference(rectify,[],[f268]) ).
tff(f268,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP13(X0,X2,X1)
| ( p(inj__o(X0))
& p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1))
| ~ sP13(X0,X2,X1) ) ),
inference(flattening,[],[f267]) ).
tff(f267,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP13(X0,X2,X1)
| ( p(inj__o(X0))
& p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1))
| ~ sP13(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP13(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
tff(f1195,plain,
spl21_130,
inference(avatar_split_clause,[],[f472,f1193]) ).
tff(f472,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f266,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP14(X0,X1,X2)
| ( ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X0))
| p(inj__o(X1)) ) )
| ~ p(inj__o(X2)) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1)) ) )
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X0))
| p(inj__o(X1)) ) ) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1)) ) )
| ~ p(inj__o(X2)) ) )
| ~ sP14(X0,X1,X2) ) ),
inference(rectify,[],[f265]) ).
tff(f265,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP14(X2,X1,X0)
| ( ( ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X2))
| p(inj__o(X1)) ) )
| ~ p(inj__o(X0)) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X2))
| p(inj__o(X1)) ) ) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
| ~ p(inj__o(X0)) ) )
| ~ sP14(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP14(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X1))
<=> p(inj__o(X2)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
tff(f1191,plain,
spl21_129,
inference(avatar_split_clause,[],[f471,f1189]) ).
tff(f471,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1187,plain,
spl21_128,
inference(avatar_split_clause,[],[f470,f1185]) ).
tff(f470,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1180,plain,
spl21_127,
inference(avatar_split_clause,[],[f469,f1178]) ).
tff(f469,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1176,plain,
spl21_126,
inference(avatar_split_clause,[],[f468,f1174]) ).
tff(f1174,plain,
( spl21_126
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_126])]) ).
tff(f468,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1172,plain,
spl21_125,
inference(avatar_split_clause,[],[f467,f1170]) ).
tff(f1170,plain,
( spl21_125
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_125])]) ).
tff(f467,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1168,plain,
spl21_124,
inference(avatar_split_clause,[],[f466,f1166]) ).
tff(f1166,plain,
( spl21_124
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_124])]) ).
tff(f466,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1164,plain,
spl21_123,
inference(avatar_split_clause,[],[f465,f1162]) ).
tff(f1162,plain,
( spl21_123
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_123])]) ).
tff(f465,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tff(f1160,plain,
spl21_122,
inference(avatar_split_clause,[],[f461,f1158]) ).
tff(f1158,plain,
( spl21_122
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_122])]) ).
tff(f461,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tff(f1156,plain,
spl21_121,
inference(avatar_split_clause,[],[f452,f1154]) ).
tff(f1154,plain,
( spl21_121
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_121])]) ).
tff(f452,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f261]) ).
tff(f261,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP8(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1))
& p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f260]) ).
tff(f260,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP8(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP8(X0,X2,X1) ) ),
inference(flattening,[],[f259]) ).
tff(f259,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP8(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP8(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f181]) ).
tff(f181,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP8(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
tff(f1152,plain,
spl21_120,
inference(avatar_split_clause,[],[f449,f1150]) ).
tff(f449,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f258]) ).
tff(f258,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP9(X0,X1,X2)
| ( ( ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ~ p(inj__o(X2)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) ) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f257]) ).
tff(f257,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP9(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP9(X2,X1,X0) ) ),
inference(flattening,[],[f256]) ).
tff(f256,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP9(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP9(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f182]) ).
tff(f182,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP9(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
tff(f1148,plain,
spl21_119,
inference(avatar_split_clause,[],[f446,f1146]) ).
tff(f1146,plain,
( spl21_119
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_119])]) ).
tff(f446,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
tff(f1144,plain,
spl21_118,
inference(avatar_split_clause,[],[f433,f1142]) ).
tff(f1142,plain,
( spl21_118
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_118])]) ).
tff(f433,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
tff(f251,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP5(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f250]) ).
tff(f250,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP5(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1))
| ~ sP5(X0,X2,X1) ) ),
inference(flattening,[],[f249]) ).
tff(f249,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP5(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1))
| ~ sP5(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP5(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
tff(f1137,plain,
spl21_117,
inference(avatar_split_clause,[],[f430,f1135]) ).
tff(f430,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f248]) ).
tff(f248,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP6(X0,X1,X2)
| ( ( ( ~ p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X2)) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f247]) ).
tff(f247,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP6(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP6(X2,X1,X0) ) ),
inference(flattening,[],[f246]) ).
tff(f246,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP6(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP6(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f178]) ).
tff(f178,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP6(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
tff(f1133,plain,
spl21_116,
inference(avatar_split_clause,[],[f427,f1131]) ).
tff(f1131,plain,
( spl21_116
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_116])]) ).
tff(f427,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f248]) ).
tff(f1129,plain,
spl21_115,
inference(avatar_split_clause,[],[f414,f1127]) ).
tff(f1127,plain,
( spl21_115
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_115])]) ).
tff(f414,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
tff(f241,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP2(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f240]) ).
tff(f240,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP2(X2,X1,X0)
| ( p(inj__o(X2))
& p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0))
| ~ sP2(X2,X1,X0) ) ),
inference(flattening,[],[f239]) ).
tff(f239,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP2(X2,X1,X0)
| ( p(inj__o(X2))
& p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0))
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP2(X2,X1,X0)
<=> ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f1125,plain,
spl21_114,
inference(avatar_split_clause,[],[f413,f1123]) ).
tff(f413,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f238]) ).
tff(f238,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP3(X0,X1,X2)
| ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( ( p(inj__o(X0))
& p(inj__o(X1)) )
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X0))
& p(inj__o(X1)) )
| ~ p(inj__o(X2)) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f237]) ).
tff(f237,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP3(X2,X1,X0)
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) ) )
| ~ sP3(X2,X1,X0) ) ),
inference(flattening,[],[f236]) ).
tff(f236,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP3(X2,X1,X0)
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) ) )
| ~ sP3(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP3(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
& p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f1121,plain,
spl21_113,
inference(avatar_split_clause,[],[f410,f1119]) ).
tff(f1119,plain,
( spl21_113
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_113])]) ).
tff(f410,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
tff(f1117,plain,
spl21_112,
inference(avatar_split_clause,[],[f391,f1115]) ).
tff(f391,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
tff(f1113,plain,
spl21_111,
inference(avatar_split_clause,[],[f323,f1111]) ).
tff(f323,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f146]) ).
tff(f146,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f145]) ).
tff(f145,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( ( p(X4)
<=> p(X5) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
tff(f1109,plain,
spl21_110,
inference(avatar_split_clause,[],[f322,f1107]) ).
tff(f322,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| p(X1)
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f201]) ).
tff(f1099,plain,
( spl21_109
| ~ spl21_15
| ~ spl21_73 ),
inference(avatar_split_clause,[],[f882,f848,f581,f1097]) ).
tff(f1083,plain,
spl21_108,
inference(avatar_split_clause,[],[f341,f1081]) ).
tff(f1079,plain,
spl21_107,
inference(avatar_split_clause,[],[f340,f1077]) ).
tff(f340,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X8: tp__o,X9: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X8,X9)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X8)),inj__o(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_2F_5C) ).
tff(f1075,plain,
spl21_106,
inference(avatar_split_clause,[],[f339,f1073]) ).
tff(f339,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X8: tp__o,X9: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X8,X9)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X8)),inj__o(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_5C_2F) ).
tff(f1071,plain,
spl21_105,
inference(avatar_split_clause,[],[f338,f1069]) ).
tff(f338,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X8: tp__o,X9: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X8,X9)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X8)),inj__o(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Emin_2E_3D_3D_3E) ).
tff(f1067,plain,
spl21_104,
inference(avatar_split_clause,[],[f337,f1065]) ).
tff(f1057,plain,
( spl21_103
| ~ spl21_15
| ~ spl21_72 ),
inference(avatar_split_clause,[],[f873,f844,f581,f1055]) ).
tff(f1050,plain,
spl21_102,
inference(avatar_split_clause,[],[f492,f1048]) ).
tff(f1048,plain,
( spl21_102
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X0))
| ~ sP2(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).
tff(f492,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X0))
| ~ sP2(X1,X2,X0) ),
inference(duplicate_literal_removal,[],[f407]) ).
tff(f407,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X0))
| ~ sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f235]) ).
tff(f1046,plain,
spl21_101,
inference(avatar_split_clause,[],[f491,f1044]) ).
tff(f1044,plain,
( spl21_101
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).
tff(f491,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| ~ p(inj__o(X2)) ),
inference(duplicate_literal_removal,[],[f423]) ).
tff(f423,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| ~ p(inj__o(X2))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f245]) ).
tff(f1042,plain,
spl21_100,
inference(avatar_split_clause,[],[f490,f1040]) ).
tff(f1040,plain,
( spl21_100
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).
tff(f490,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| ~ p(inj__o(X2)) ),
inference(duplicate_literal_removal,[],[f442]) ).
tff(f442,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ sP8(X2,X1,X0)
| ~ p(inj__o(X2))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f255]) ).
tff(f1019,plain,
( spl21_99
| ~ spl21_15
| ~ spl21_71 ),
inference(avatar_split_clause,[],[f868,f840,f581,f1017]) ).
tff(f999,plain,
( spl21_14
| spl21_98
| ~ spl21_69
| ~ spl21_74 ),
inference(avatar_split_clause,[],[f965,f878,f829,f997,f576]) ).
tff(f878,plain,
( spl21_74
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).
tff(f965,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16))) )
| ~ spl21_69
| ~ spl21_74 ),
inference(duplicate_literal_removal,[],[f964]) ).
tff(f964,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| p(inj__o(X0)) )
| ~ spl21_69
| ~ spl21_74 ),
inference(resolution,[],[f879,f830]) ).
tff(f879,plain,
( ! [X0: tp__o] :
( sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),X0)
| p(inj__o(X0)) )
| ~ spl21_74 ),
inference(avatar_component_clause,[],[f878]) ).
tff(f981,plain,
spl21_97,
inference(avatar_split_clause,[],[f502,f979]) ).
tff(f502,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0))) ),
inference(forward_demodulation,[],[f501,f341]) ).
tff(f501,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(forward_demodulation,[],[f351,f341]) ).
tff(f351,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X14: tp__ty_2Eextreal_2Eextreal,X15: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X14)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
tff(f977,plain,
spl21_96,
inference(avatar_split_clause,[],[f495,f975]) ).
tff(f975,plain,
( spl21_96
<=> ! [X2,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_96])]) ).
tff(f495,plain,
! [X2: $i,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0) ),
inference(duplicate_literal_removal,[],[f489]) ).
tff(f489,plain,
! [X2: $i,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0)
| ~ mem(X2,X0) ),
inference(equality_resolution,[],[f358]) ).
tff(f358,plain,
! [X2: $i,X0: del,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ( X1 != X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f212]) ).
tff(f973,plain,
spl21_95,
inference(avatar_split_clause,[],[f451,f971]) ).
tff(f451,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f258]) ).
tff(f969,plain,
spl21_94,
inference(avatar_split_clause,[],[f450,f967]) ).
tff(f450,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f258]) ).
tff(f962,plain,
spl21_93,
inference(avatar_split_clause,[],[f448,f960]) ).
tff(f960,plain,
( spl21_93
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).
tff(f448,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
tff(f958,plain,
spl21_92,
inference(avatar_split_clause,[],[f447,f956]) ).
tff(f956,plain,
( spl21_92
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X1))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_92])]) ).
tff(f447,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X1))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
tff(f954,plain,
spl21_91,
inference(avatar_split_clause,[],[f440,f952]) ).
tff(f952,plain,
( spl21_91
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_91])]) ).
tff(f440,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f255]) ).
tff(f950,plain,
spl21_90,
inference(avatar_split_clause,[],[f439,f948]) ).
tff(f948,plain,
( spl21_90
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X2))
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).
tff(f439,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X2))
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f255]) ).
tff(f946,plain,
spl21_89,
inference(avatar_split_clause,[],[f432,f944]) ).
tff(f432,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f248]) ).
tff(f942,plain,
spl21_88,
inference(avatar_split_clause,[],[f431,f940]) ).
tff(f431,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f248]) ).
tff(f938,plain,
spl21_87,
inference(avatar_split_clause,[],[f429,f936]) ).
tff(f936,plain,
( spl21_87
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
tff(f429,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f248]) ).
tff(f934,plain,
spl21_86,
inference(avatar_split_clause,[],[f428,f932]) ).
tff(f932,plain,
( spl21_86
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_86])]) ).
tff(f428,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f248]) ).
tff(f930,plain,
spl21_85,
inference(avatar_split_clause,[],[f421,f928]) ).
tff(f928,plain,
( spl21_85
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).
tff(f421,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
tff(f925,plain,
( spl21_84
| ~ spl21_14
| ~ spl21_72 ),
inference(avatar_split_clause,[],[f872,f844,f576,f923]) ).
tff(f923,plain,
( spl21_84
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).
tff(f872,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(X0,fo__c_2Eextreal_2Eextreal__le(sK17,sK16)) )
| ~ spl21_14
| ~ spl21_72 ),
inference(resolution,[],[f845,f578]) ).
tff(f921,plain,
spl21_83,
inference(avatar_split_clause,[],[f420,f919]) ).
tff(f919,plain,
( spl21_83
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_83])]) ).
tff(f420,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
tff(f917,plain,
spl21_82,
inference(avatar_split_clause,[],[f412,f915]) ).
tff(f412,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f238]) ).
tff(f913,plain,
spl21_81,
inference(avatar_split_clause,[],[f411,f911]) ).
tff(f411,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f238]) ).
tff(f909,plain,
spl21_80,
inference(avatar_split_clause,[],[f409,f907]) ).
tff(f907,plain,
( spl21_80
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).
tff(f409,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
tff(f905,plain,
spl21_79,
inference(avatar_split_clause,[],[f408,f903]) ).
tff(f903,plain,
( spl21_79
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_79])]) ).
tff(f408,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
tff(f901,plain,
spl21_78,
inference(avatar_split_clause,[],[f403,f899]) ).
tff(f899,plain,
( spl21_78
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).
tff(f403,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
tff(f897,plain,
spl21_77,
inference(avatar_split_clause,[],[f402,f895]) ).
tff(f895,plain,
( spl21_77
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_77])]) ).
tff(f402,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
tff(f893,plain,
spl21_76,
inference(avatar_split_clause,[],[f390,f891]) ).
tff(f390,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: del,X1,X2] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ),
inference(ennf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: del,X1,X2] :
( mem(X2,X0)
=> ( ap(k(X0,X1),X2) = X1 ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: del,X7,X3] :
( mem(X3,X0)
=> ( ap(k(X0,X7),X3) = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kbeta) ).
tff(f889,plain,
spl21_75,
inference(avatar_split_clause,[],[f301,f887]) ).
tff(f301,plain,
! [X0: del] : mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0: del] : mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X10: del] : mem(c_2Ebool_2ECOND(X10),arr(bool,arr(X10,arr(X10,X10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ECOND) ).
tff(f880,plain,
( spl21_74
| ~ spl21_14
| ~ spl21_71 ),
inference(avatar_split_clause,[],[f867,f840,f576,f878]) ).
tff(f867,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP1(fo__c_2Eextreal_2Eextreal__le(sK17,sK16),X0) )
| ~ spl21_14
| ~ spl21_71 ),
inference(resolution,[],[f841,f578]) ).
tff(f850,plain,
spl21_73,
inference(avatar_split_clause,[],[f494,f848]) ).
tff(f494,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| sP0(X1,X0) ),
inference(duplicate_literal_removal,[],[f365]) ).
tff(f365,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X0))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
tff(f219,plain,
! [X0: tp__o,X1: tp__o] :
( ( ( p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| sP0(X1,X0) ),
inference(nnf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| sP0(X1,X0) ),
inference(definition_folding,[],[f159,f169]) ).
tff(f169,plain,
! [X1: tp__o,X0: tp__o] :
( ( ~ p(inj__o(X1))
& p(inj__o(X0)) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f159,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& p(inj__o(X0)) ) ),
inference(flattening,[],[f158]) ).
tff(f158,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& p(inj__o(X0)) ) ),
inference(ennf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
=> p(inj__o(X1)) )
=> ( ( p(inj__o(X1))
=> p(inj__o(X0)) )
=> ( p(inj__o(X0))
<=> p(inj__o(X1)) ) ) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X11: tp__o,X12: tp__o] :
( ( p(inj__o(X11))
=> p(inj__o(X12)) )
=> ( ( p(inj__o(X12))
=> p(inj__o(X11)) )
=> ( p(inj__o(X11))
<=> p(inj__o(X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2EIMP__ANTISYM__AX) ).
tff(f846,plain,
spl21_72,
inference(avatar_split_clause,[],[f385,f844]) ).
tff(f385,plain,
! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
| p(inj__o(X0))
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0: tp__o,X1: tp__o] :
( ( sP1(X0,X1)
| ( p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP1(X0,X1) ) ),
inference(flattening,[],[f226]) ).
tff(f226,plain,
! [X0: tp__o,X1: tp__o] :
( ( sP1(X0,X1)
| ( p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f171]) ).
tff(f171,plain,
! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f842,plain,
spl21_71,
inference(avatar_split_clause,[],[f382,f840]) ).
tff(f382,plain,
! [X0: tp__o,X1: tp__o] :
( sP1(X0,X1)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f227]) ).
tff(f835,plain,
spl21_70,
inference(avatar_split_clause,[],[f381,f833]) ).
tff(f381,plain,
! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
tff(f831,plain,
spl21_69,
inference(avatar_split_clause,[],[f380,f829]) ).
tff(f380,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| p(inj__o(X0))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
tff(f827,plain,
spl21_68,
inference(avatar_split_clause,[],[f352,f825]) ).
tff(f352,plain,
! [X0: del,X1: $i] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f153]) ).
tff(f153,plain,
! [X0: del,X1] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: del,X1] :
( mem(X1,X0)
=> ( ap(i(X0),X1) = X1 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: del,X3] :
( mem(X3,X0)
=> ( ap(i(X0),X3) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibeta) ).
tff(f823,plain,
spl21_67,
inference(avatar_split_clause,[],[f321,f821]) ).
tff(f321,plain,
! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0] :
( ( ( p(ap(c_2Ebool_2E_7E,X0))
| p(X0) )
& ( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0)) ) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f144]) ).
tff(f144,plain,
! [X0] :
( ( p(ap(c_2Ebool_2E_7E,X0))
<=> ~ p(X0) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
! [X0] :
( mem(X0,bool)
=> ( p(ap(c_2Ebool_2E_7E,X0))
<=> ~ p(X0) ) ),
inference(rectify,[],[f34]) ).
tff(f34,axiom,
! [X4] :
( mem(X4,bool)
=> ( p(ap(c_2Ebool_2E_7E,X4))
<=> ~ p(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p) ).
tff(f819,plain,
spl21_66,
inference(avatar_split_clause,[],[f320,f817]) ).
tff(f320,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f200]) ).
tff(f815,plain,
( spl21_65
| ~ spl21_6
| ~ spl21_45 ),
inference(avatar_split_clause,[],[f799,f723,f534,f812]) ).
tff(f799,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_45 ),
inference(superposition,[],[f724,f536]) ).
tff(f805,plain,
( spl21_64
| ~ spl21_5
| ~ spl21_45 ),
inference(avatar_split_clause,[],[f798,f723,f529,f802]) ).
tff(f798,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_45 ),
inference(superposition,[],[f724,f531]) ).
tff(f797,plain,
spl21_63,
inference(avatar_split_clause,[],[f486,f795]) ).
tff(f795,plain,
( spl21_63
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X2,X1,X0)
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_63])]) ).
tff(f486,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X2,X1,X0)
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP14(X2,X1,X0)
| ~ sP15(X0,X1,X2) )
& ( sP15(X0,X1,X2)
| ~ sP14(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP14(X2,X1,X0)
<=> sP15(X0,X1,X2) ),
inference(definition_folding,[],[f137,f189,f188,f187,f186,f185]) ).
tff(f137,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X1))
<=> p(inj__o(X2)) ) )
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X20: tp__o,X21: tp__o,X22: tp__o] :
( ( p(inj__o(X20))
<=> ( p(inj__o(X21))
<=> p(inj__o(X22)) ) )
<=> ( ( ~ p(inj__o(X20))
| ~ p(inj__o(X21))
| p(inj__o(X22)) )
& ( ~ p(inj__o(X20))
| ~ p(inj__o(X22))
| p(inj__o(X21)) )
& ( ~ p(inj__o(X21))
| ~ p(inj__o(X22))
| p(inj__o(X20)) )
& ( p(inj__o(X22))
| p(inj__o(X21))
| p(inj__o(X20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__eq) ).
tff(f793,plain,
spl21_62,
inference(avatar_split_clause,[],[f485,f791]) ).
tff(f485,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ sP14(X2,X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f789,plain,
spl21_61,
inference(avatar_split_clause,[],[f460,f787]) ).
tff(f787,plain,
( spl21_61
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X2,X1)
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).
tff(f460,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X2,X1)
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tff(f785,plain,
spl21_60,
inference(avatar_split_clause,[],[f459,f783]) ).
tff(f783,plain,
( spl21_60
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X1,X2,X0)
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).
tff(f459,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X1,X2,X0)
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tff(f781,plain,
spl21_59,
inference(avatar_split_clause,[],[f458,f779]) ).
tff(f779,plain,
( spl21_59
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X2,X1,X0)
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_59])]) ).
tff(f458,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X2,X1,X0)
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tff(f777,plain,
spl21_58,
inference(avatar_split_clause,[],[f457,f775]) ).
tff(f775,plain,
( spl21_58
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X2,X1,X0)
| ~ sP10(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).
tff(f457,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X2,X1,X0)
| ~ sP10(X1,X2,X0) ),
inference(cnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP9(X2,X1,X0)
| ~ sP10(X1,X2,X0) )
& ( sP10(X1,X2,X0)
| ~ sP9(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP9(X2,X1,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f168,f183,f182,f181]) ).
tff(f168,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(ennf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X1))
=> p(inj__o(X2)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f64]) ).
tff(f64,axiom,
! [X20: tp__o,X21: tp__o,X22: tp__o] :
( ( p(inj__o(X20))
<=> ( p(inj__o(X21))
=> p(inj__o(X22)) ) )
<=> ( ( ~ p(inj__o(X20))
| p(inj__o(X22))
| ~ p(inj__o(X21)) )
& ( ~ p(inj__o(X22))
| p(inj__o(X20)) )
& ( p(inj__o(X21))
| p(inj__o(X20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__imp) ).
tff(f773,plain,
spl21_57,
inference(avatar_split_clause,[],[f456,f771]) ).
tff(f456,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X1,X2,X0)
| ~ sP9(X2,X1,X0) ),
inference(cnf_transformation,[],[f262]) ).
tff(f769,plain,
spl21_56,
inference(avatar_split_clause,[],[f441,f767]) ).
tff(f767,plain,
( spl21_56
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X2,X1,X0)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
tff(f441,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X2,X1,X0)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f255]) ).
tff(f765,plain,
spl21_55,
inference(avatar_split_clause,[],[f438,f763]) ).
tff(f763,plain,
( spl21_55
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X2,X1,X0)
| ~ sP7(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
tff(f438,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X2,X1,X0)
| ~ sP7(X1,X2,X0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f252,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP6(X2,X1,X0)
| ~ sP7(X1,X2,X0) )
& ( sP7(X1,X2,X0)
| ~ sP6(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f180]) ).
tff(f180,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP6(X2,X1,X0)
<=> sP7(X1,X2,X0) ),
inference(definition_folding,[],[f135,f179,f178,f177]) ).
tff(f135,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X20: tp__o,X21: tp__o,X22: tp__o] :
( ( p(inj__o(X20))
<=> ( p(inj__o(X22))
| p(inj__o(X21)) ) )
<=> ( ( ~ p(inj__o(X20))
| p(inj__o(X22))
| p(inj__o(X21)) )
& ( ~ p(inj__o(X22))
| p(inj__o(X20)) )
& ( ~ p(inj__o(X21))
| p(inj__o(X20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__disj) ).
tff(f761,plain,
spl21_54,
inference(avatar_split_clause,[],[f437,f759]) ).
tff(f437,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X1,X2,X0)
| ~ sP6(X2,X1,X0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f757,plain,
spl21_53,
inference(avatar_split_clause,[],[f422,f755]) ).
tff(f755,plain,
( spl21_53
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X2,X1,X0)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).
tff(f422,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X2,X1,X0)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
tff(f753,plain,
spl21_52,
inference(avatar_split_clause,[],[f419,f751]) ).
tff(f751,plain,
( spl21_52
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X2,X1,X0)
| ~ sP4(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).
tff(f419,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP3(X2,X1,X0)
| ~ sP4(X0,X2,X1) ),
inference(cnf_transformation,[],[f242]) ).
tff(f242,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP3(X2,X1,X0)
| ~ sP4(X0,X2,X1) )
& ( sP4(X0,X2,X1)
| ~ sP3(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP3(X2,X1,X0)
<=> sP4(X0,X2,X1) ),
inference(definition_folding,[],[f134,f175,f174,f173]) ).
tff(f134,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
& p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X20: tp__o,X21: tp__o,X22: tp__o] :
( ( p(inj__o(X20))
<=> ( p(inj__o(X22))
& p(inj__o(X21)) ) )
<=> ( ( ~ p(inj__o(X20))
| p(inj__o(X22)) )
& ( ~ p(inj__o(X20))
| p(inj__o(X21)) )
& ( ~ p(inj__o(X22))
| ~ p(inj__o(X21))
| p(inj__o(X20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__conj) ).
tff(f749,plain,
spl21_51,
inference(avatar_split_clause,[],[f418,f747]) ).
tff(f418,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X2,X1)
| ~ sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f242]) ).
tff(f745,plain,
spl21_50,
inference(avatar_split_clause,[],[f401,f743]) ).
tff(f743,plain,
( spl21_50
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X1,X2,X0)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).
tff(f401,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X1,X2,X0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
tff(f741,plain,
spl21_49,
inference(avatar_split_clause,[],[f319,f739]) ).
tff(f319,plain,
! [X0: $i] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0] :
( mem(X0,bool)
=> ( inj__o(surj__o(X0)) = X0 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3] :
( mem(X3,bool)
=> ( inj__o(surj__o(X3)) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_o) ).
tff(f737,plain,
spl21_48,
inference(avatar_split_clause,[],[f318,f735]) ).
tff(f735,plain,
( spl21_48
<=> ! [X0] :
( ( inj__ty_2Eextreal_2Eextreal(surj__ty_2Eextreal_2Eextreal(X0)) = X0 )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).
tff(f318,plain,
! [X0: $i] :
( ( inj__ty_2Eextreal_2Eextreal(surj__ty_2Eextreal_2Eextreal(X0)) = X0 )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0] :
( ( inj__ty_2Eextreal_2Eextreal(surj__ty_2Eextreal_2Eextreal(X0)) = X0 )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f92]) ).
tff(f92,plain,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ( inj__ty_2Eextreal_2Eextreal(surj__ty_2Eextreal_2Eextreal(X0)) = X0 ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X3] :
( mem(X3,ty_2Eextreal_2Eextreal)
=> ( inj__ty_2Eextreal_2Eextreal(surj__ty_2Eextreal_2Eextreal(X3)) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_ty_2Eextreal_2Eextreal) ).
tff(f733,plain,
spl21_47,
inference(avatar_split_clause,[],[f300,f731]) ).
tff(f300,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X10: del] : mem(c_2Emin_2E_3D(X10),arr(X10,arr(X10,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
tff(f729,plain,
spl21_46,
inference(avatar_split_clause,[],[f299,f727]) ).
tff(f299,plain,
! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X10: del] : mem(c_2Ebool_2E_21(X10),arr(arr(X10,bool),bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).
tff(f725,plain,
spl21_45,
inference(avatar_split_clause,[],[f298,f723]) ).
tff(f298,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X8: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X8)) = ap(c_2Ebool_2E_7E,inj__o(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_7E) ).
tff(f721,plain,
( ~ spl21_12
| ~ spl21_13
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f279,f586,f568,f564]) ).
tff(f279,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16))) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f192,f193]) ).
tff(f193,plain,
( ? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) ) )
=> ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16))) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f192,plain,
? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) ) ),
inference(flattening,[],[f191]) ).
tff(f191,plain,
? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) ) ),
inference(nnf_transformation,[],[f138]) ).
tff(f138,plain,
? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
<~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ) ),
inference(ennf_transformation,[],[f68]) ).
tff(f68,plain,
~ ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ) ),
inference(rectify,[],[f67]) ).
tff(f67,negated_conjecture,
~ ! [X23: tp__ty_2Eextreal_2Eextreal,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X25))),inj__ty_2Eextreal_2Eextreal(X23)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X25)),inj__ty_2Eextreal_2Eextreal(X23)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X23))) ) ),
inference(negated_conjecture,[],[f66]) ).
tff(f66,conjecture,
! [X23: tp__ty_2Eextreal_2Eextreal,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X25))),inj__ty_2Eextreal_2Eextreal(X23)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X25)),inj__ty_2Eextreal_2Eextreal(X23)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X23))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
tff(f720,plain,
spl21_44,
inference(avatar_split_clause,[],[f484,f718]) ).
tff(f718,plain,
( spl21_44
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).
tff(f484,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f716,plain,
spl21_43,
inference(avatar_split_clause,[],[f483,f714]) ).
tff(f714,plain,
( spl21_43
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
tff(f483,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f712,plain,
spl21_42,
inference(avatar_split_clause,[],[f482,f710]) ).
tff(f710,plain,
( spl21_42
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).
tff(f482,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f708,plain,
spl21_41,
inference(avatar_split_clause,[],[f480,f706]) ).
tff(f480,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f704,plain,
spl21_40,
inference(avatar_split_clause,[],[f479,f702]) ).
tff(f479,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f700,plain,
spl21_39,
inference(avatar_split_clause,[],[f478,f698]) ).
tff(f698,plain,
( spl21_39
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).
tff(f478,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f696,plain,
spl21_38,
inference(avatar_split_clause,[],[f476,f694]) ).
tff(f476,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f692,plain,
spl21_37,
inference(avatar_split_clause,[],[f475,f690]) ).
tff(f475,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f688,plain,
spl21_36,
inference(avatar_split_clause,[],[f474,f686]) ).
tff(f474,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f684,plain,
spl21_35,
inference(avatar_split_clause,[],[f455,f682]) ).
tff(f682,plain,
( spl21_35
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
tff(f455,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f261]) ).
tff(f680,plain,
spl21_34,
inference(avatar_split_clause,[],[f454,f678]) ).
tff(f678,plain,
( spl21_34
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).
tff(f454,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f261]) ).
tff(f676,plain,
spl21_33,
inference(avatar_split_clause,[],[f453,f674]) ).
tff(f674,plain,
( spl21_33
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
tff(f453,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f261]) ).
tff(f672,plain,
spl21_32,
inference(avatar_split_clause,[],[f436,f670]) ).
tff(f670,plain,
( spl21_32
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
tff(f436,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f251]) ).
tff(f668,plain,
spl21_31,
inference(avatar_split_clause,[],[f435,f666]) ).
tff(f666,plain,
( spl21_31
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
tff(f435,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f251]) ).
tff(f664,plain,
spl21_30,
inference(avatar_split_clause,[],[f434,f662]) ).
tff(f662,plain,
( spl21_30
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
tff(f434,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f251]) ).
tff(f660,plain,
spl21_29,
inference(avatar_split_clause,[],[f417,f658]) ).
tff(f658,plain,
( spl21_29
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
tff(f417,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f241]) ).
tff(f656,plain,
( spl21_28
| ~ spl21_6
| ~ spl21_10 ),
inference(avatar_split_clause,[],[f562,f554,f534,f653]) ).
tff(f562,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl21_6
| ~ spl21_10 ),
inference(superposition,[],[f555,f536]) ).
tff(f651,plain,
spl21_27,
inference(avatar_split_clause,[],[f416,f649]) ).
tff(f649,plain,
( spl21_27
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
tff(f416,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f241]) ).
tff(f647,plain,
spl21_26,
inference(avatar_split_clause,[],[f415,f645]) ).
tff(f645,plain,
( spl21_26
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
tff(f415,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP2(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f241]) ).
tff(f643,plain,
spl21_25,
inference(avatar_split_clause,[],[f291,f640]) ).
tff(f291,plain,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).
tff(f638,plain,
spl21_24,
inference(avatar_split_clause,[],[f290,f635]) ).
tff(f290,plain,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
inference(cnf_transformation,[],[f18]) ).
tff(f18,axiom,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
tff(f633,plain,
spl21_23,
inference(avatar_split_clause,[],[f289,f630]) ).
tff(f289,plain,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f26]) ).
tff(f26,axiom,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_5C_2F) ).
tff(f628,plain,
spl21_22,
inference(avatar_split_clause,[],[f288,f625]) ).
tff(f288,plain,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
tff(f623,plain,
spl21_21,
inference(avatar_split_clause,[],[f287,f620]) ).
tff(f287,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
tff(f618,plain,
spl21_20,
inference(avatar_split_clause,[],[f363,f616]) ).
tff(f363,plain,
! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: tp__o,X1: tp__o] :
( ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f217]) ).
tff(f217,plain,
! [X1: tp__o,X0: tp__o] :
( ( ~ p(inj__o(X1))
& p(inj__o(X0)) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f169]) ).
tff(f614,plain,
( spl21_19
| ~ spl21_5
| ~ spl21_10 ),
inference(avatar_split_clause,[],[f561,f554,f529,f611]) ).
tff(f561,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl21_5
| ~ spl21_10 ),
inference(superposition,[],[f555,f531]) ).
tff(f609,plain,
spl21_18,
inference(avatar_split_clause,[],[f362,f607]) ).
tff(f362,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tff(f602,plain,
( spl21_17
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f599,f586,f594]) ).
tff(f599,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| ~ spl21_16 ),
inference(forward_demodulation,[],[f588,f341]) ).
tff(f598,plain,
( spl21_15
| ~ spl21_12 ),
inference(avatar_split_clause,[],[f592,f564,f581]) ).
tff(f592,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| ~ spl21_12 ),
inference(forward_demodulation,[],[f591,f341]) ).
tff(f591,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK17,sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ spl21_12 ),
inference(forward_demodulation,[],[f566,f337]) ).
tff(f597,plain,
( ~ spl21_17
| spl21_16 ),
inference(avatar_split_clause,[],[f590,f586,f594]) ).
tff(f590,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK18,sK16)))
| spl21_16 ),
inference(forward_demodulation,[],[f587,f341]) ).
tff(f587,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| spl21_16 ),
inference(avatar_component_clause,[],[f586]) ).
tff(f589,plain,
( spl21_12
| spl21_16 ),
inference(avatar_split_clause,[],[f278,f586,f564]) ).
tff(f278,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK18)),inj__ty_2Eextreal_2Eextreal(sK16)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ),
inference(cnf_transformation,[],[f194]) ).
tff(f584,plain,
( ~ spl21_15
| spl21_12 ),
inference(avatar_split_clause,[],[f574,f564,f581]) ).
tff(f574,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK17,sK18),sK16)))
| spl21_12 ),
inference(forward_demodulation,[],[f573,f341]) ).
tff(f573,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK17,sK18))),inj__ty_2Eextreal_2Eextreal(sK16)))
| spl21_12 ),
inference(forward_demodulation,[],[f565,f337]) ).
tff(f579,plain,
( spl21_14
| ~ spl21_13 ),
inference(avatar_split_clause,[],[f572,f568,f576]) ).
tff(f572,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK17,sK16)))
| ~ spl21_13 ),
inference(forward_demodulation,[],[f570,f341]) ).
tff(f570,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f571,plain,
( spl21_12
| spl21_13 ),
inference(avatar_split_clause,[],[f277,f568,f564]) ).
tff(f277,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK16)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK17)),inj__ty_2Eextreal_2Eextreal(sK18))),inj__ty_2Eextreal_2Eextreal(sK16))) ),
inference(cnf_transformation,[],[f194]) ).
tff(f560,plain,
spl21_11,
inference(avatar_split_clause,[],[f297,f558]) ).
tff(f556,plain,
spl21_10,
inference(avatar_split_clause,[],[f296,f554]) ).
tff(f296,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X3: tp__o] : ( surj__o(inj__o(X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_o) ).
tff(f552,plain,
spl21_9,
inference(avatar_split_clause,[],[f286,f549]) ).
tff(f286,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
tff(f545,plain,
spl21_8,
inference(avatar_split_clause,[],[f295,f543]) ).
tff(f295,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(cnf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X3: tp__o] : mem(inj__o(X3),bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_o) ).
tff(f541,plain,
spl21_7,
inference(avatar_split_clause,[],[f294,f539]) ).
tff(f294,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X3: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X3),ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_ty_2Eextreal_2Eextreal) ).
tff(f537,plain,
spl21_6,
inference(avatar_split_clause,[],[f285,f534]) ).
tff(f532,plain,
spl21_5,
inference(avatar_split_clause,[],[f284,f529]) ).
tff(f527,plain,
spl21_4,
inference(avatar_split_clause,[],[f283,f524]) ).
tff(f283,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
tff(f522,plain,
spl21_3,
inference(avatar_split_clause,[],[f282,f519]) ).
tff(f282,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
tff(f517,plain,
spl21_2,
inference(avatar_split_clause,[],[f281,f514]) ).
tff(f281,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
tff(f512,plain,
~ spl21_1,
inference(avatar_split_clause,[],[f280,f509]) ).
tff(f280,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f22]) ).
tff(f22,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP021_2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 16:47:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (2802)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (2805)WARNING: value z3 for option sas not known
% 0.15/0.37 % (2806)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (2803)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (2804)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (2805)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)
% 0.15/0.37 % (2808)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)
% 0.15/0.37 % (2807)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)
% 0.15/0.37 % (2809)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)
% 0.15/0.40 TRYING [1,1,1,1]
% 0.15/0.40 TRYING [1,2,1,1]
% 0.15/0.41 TRYING [1,3,1,1]
% 0.21/0.43 TRYING [1,2,2,1]
% 0.21/0.44 TRYING [2,2,2,1]
% 0.21/0.45 TRYING [1,3,2,1]
% 0.21/0.47 TRYING [2,3,2,1]
% 0.21/0.49 TRYING [1,4,1,1]
% 0.21/0.52 TRYING [1,4,2,1]
% 0.21/0.55 TRYING [3,3,2,1]
% 0.21/0.56 TRYING [2,4,2,1]
% 1.75/0.59 TRYING [3,4,2,1]
% 2.00/0.63 TRYING [2,5,2,1]
% 2.07/0.65 TRYING [1]
% 2.07/0.68 TRYING [2]
% 2.07/0.69 TRYING [2,4,3,1]
% 2.57/0.73 TRYING [2,5,3,1]
% 3.03/0.80 TRYING [4,4,2,1]
% 3.03/0.84 TRYING [3,5,2,1]
% 3.67/0.87 TRYING [3]
% 3.84/0.92 TRYING [3,4,3,1]
% 4.15/0.98 TRYING [4,5,2,1]
% 5.16/1.11 TRYING [4,4,3,1]
% 5.16/1.17 TRYING [2,6,2,1]
% 6.89/1.33 % (2807)First to succeed.
% 6.89/1.36 % (2807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2802"
% 6.89/1.37 % (2807)Refutation found. Thanks to Tanya!
% 6.89/1.37 % SZS status Theorem for theBenchmark
% 6.89/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 6.89/1.39 % (2807)------------------------------
% 6.89/1.39 % (2807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.89/1.39 % (2807)Termination reason: Refutation
% 6.89/1.39
% 6.89/1.39 % (2807)Memory used [KB]: 8808
% 6.89/1.39 % (2807)Time elapsed: 0.982 s
% 6.89/1.39 % (2807)Instructions burned: 2146 (million)
% 6.89/1.39 % (2802)Success in time 1.017 s
%------------------------------------------------------------------------------