TSTP Solution File: GEO442+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:10:11 EDT 2022
% Result : Theorem 68.56s 9.62s
% Output : Refutation 68.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 842
% Syntax : Number of formulae : 3679 ( 252 unt; 0 def)
% Number of atoms : 9399 ( 391 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 9591 (3871 ~;4319 |; 327 &)
% ( 873 <=>; 195 =>; 0 <=; 6 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 699 ( 697 usr; 668 prp; 0-6 aty)
% Number of functors : 184 ( 184 usr; 75 con; 0-8 aty)
% Number of variables : 3272 (3010 !; 262 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17943,plain,
$false,
inference(avatar_smt_refutation,[],[f6924,f6925,f6931,f7174,f7179,f7184,f7189,f7194,f7199,f7204,f7205,f7210,f7219,f7224,f7225,f7230,f7235,f7236,f7237,f7242,f7244,f7245,f7250,f7255,f7256,f7261,f7263,f7268,f7273,f7669,f7678,f7684,f7689,f7700,f7709,f7717,f7722,f7727,f7736,f7741,f7746,f7751,f7758,f7759,f7768,f7772,f7777,f7782,f7791,f7797,f7802,f7808,f7813,f7817,f7822,f7827,f7829,f7834,f7839,f7844,f7848,f7849,f7850,f7858,f7863,f7868,f7873,f7878,f7879,f7884,f7885,f7890,f7891,f7895,f7900,f7902,f7903,f7908,f7913,f7914,f7915,f7920,f7921,f7922,f7927,f7932,f7933,f7938,f7943,f7948,f7949,f7954,f7959,f7960,f7968,f7969,f7974,f7975,f7980,f7981,f7982,f7987,f7992,f7993,f7998,f7999,f8004,f8009,f8011,f8017,f8021,f8026,f8031,f8346,f8352,f8357,f8366,f8371,f8376,f8383,f8390,f8395,f8404,f8413,f8421,f8425,f8429,f8437,f8442,f8448,f8454,f8463,f8472,f8477,f8478,f8482,f8486,f8491,f8496,f8497,f8502,f8503,f8508,f8515,f8516,f8521,f8522,f8527,f8533,f8538,f8543,f8548,f8556,f8562,f8567,f8568,f8573,f8578,f8580,f8581,f8586,f8591,f8596,f8597,f8603,f8608,f8609,f8610,f8612,f8613,f8618,f8619,f8624,f8629,f8630,f8635,f8636,f8641,f8642,f8643,f8647,f8648,f8649,f8654,f8656,f8657,f8662,f8663,f8664,f8669,f8674,f8675,f8680,f8727,f8732,f8737,f8742,f8743,f8749,f8754,f8755,f8756,f8763,f8768,f8769,f8816,f8821,f8828,f8833,f8838,f8839,f8844,f9164,f9171,f9172,f9181,f9189,f9198,f9207,f9214,f9215,f9219,f9223,f9228,f9234,f9239,f9241,f9246,f9252,f9254,f9262,f9263,f9269,f9274,f9279,f9285,f9290,f9291,f9292,f9297,f9302,f9303,f9304,f9305,f9306,f9310,f9311,f9313,f9315,f9316,f9327,f9328,f9329,f9333,f9338,f9339,f9344,f9349,f9354,f9359,f9360,f9361,f9368,f9369,f9374,f9375,f9380,f9385,f9390,f9395,f9400,f9405,f9410,f9411,f9412,f9417,f9422,f9423,f9424,f9425,f9428,f10192,f10197,f10202,f10208,f10255,f10259,f10260,f10263,f10264,f10270,f10316,f10323,f10324,f10325,f10378,f10383,f10388,f10393,f10400,f10409,f10470,f10471,f10476,f10481,f10486,f10487,f10488,f10494,f10557,f10562,f10567,f10572,f10577,f10582,f10587,f10592,f10601,f10614,f11660,f11661,f11662,f11663,f11664,f11665,f11666,f11667,f11668,f11669,f11670,f11671,f11672,f11673,f11674,f11675,f11676,f11677,f11678,f11679,f11680,f11681,f11682,f11683,f11684,f11685,f11686,f11687,f11688,f11689,f11690,f11691,f11692,f11693,f11694,f11695,f11696,f11697,f11698,f11699,f11700,f11701,f11702,f11703,f11704,f11705,f11706,f11707,f11708,f11709,f11716,f11722,f11726,f11728,f11737,f11739,f11748,f11751,f11753,f11756,f11759,f11761,f11763,f11765,f11771,f11775,f11777,f11779,f11782,f11784,f11786,f11788,f11792,f11794,f11796,f11798,f11800,f11804,f11808,f11811,f11813,f11816,f11818,f11821,f11823,f11825,f11827,f11830,f11833,f11835,f11837,f11840,f11842,f11845,f11848,f11850,f11852,f11855,f11857,f11860,f11864,f11866,f11868,f11870,f11873,f11876,f11878,f11880,f11882,f11884,f11888,f11890,f11892,f11897,f11898,f11902,f11904,f11909,f11911,f11913,f11916,f11918,f11921,f11929,f11931,f11933,f11936,f11938,f11940,f11944,f11946,f11948,f11950,f11952,f11954,f11956,f11959,f11960,f11961,f11962,f11963,f11964,f11969,f12530,f12535,f12537,f12539,f12544,f12546,f12551,f12557,f12562,f12568,f12573,f12578,f12580,f12582,f12587,f12592,f12597,f12602,f12607,f12609,f12612,f12614,f12616,f12618,f12623,f12624,f12625,f12626,f12631,f13315,f13323,f13336,f13341,f13358,f13362,f13367,f13535,f13540,f13554,f13564,f13579,f13586,f13591,f13599,f13606,f13607,f13614,f13619,f13623,f13624,f13634,f13635,f13636,f13880,f13889,f13894,f13899,f13904,f13909,f13914,f13919,f13920,f13925,f13930,f13931,f13936,f13941,f13942,f13947,f13956,f13961,f13962,f13963,f13964,f13965,f13970,f13978,f14215,f14220,f14229,f14238,f14243,f14248,f14249,f14250,f14255,f14260,f14265,f14270,f14271,f14276,f14281,f14282,f14291,f14292,f14293,f14298,f14303,f14304,f14309,f14314,f14632,f14637,f14648,f14656,f14661,f14662,f14671,f14679,f14688,f14692,f14698,f14699,f14704,f14715,f14716,f14723,f14728,f14733,f14737,f14741,f14742,f14743,f14752,f14753,f14754,f14759,f14764,f14769,f14778,f14786,f14795,f14802,f14807,f14812,f14813,f14814,f14819,f14824,f14829,f14834,f14839,f14844,f14848,f14853,f14858,f14863,f14867,f14876,f14881,f14882,f14883,f14889,f14890,f14891,f14892,f14893,f14894,f14899,f14904,f14908,f14909,f14910,f14915,f14916,f14918,f14919,f14920,f14925,f14930,f14934,f14935,f14936,f14941,f14946,f15264,f15273,f15282,f15287,f15292,f15297,f15306,f15311,f15316,f15320,f15321,f15326,f15337,f15346,f15351,f15353,f15360,f15365,f15370,f15375,f15383,f15392,f15401,f15406,f15411,f15422,f15431,f15435,f15436,f15440,f15447,f15448,f15452,f15453,f15458,f15459,f15464,f15469,f15474,f15475,f15480,f15485,f15489,f15490,f15494,f15495,f15496,f15497,f15502,f15507,f15508,f15512,f15517,f15522,f15526,f15531,f15532,f15538,f15539,f15540,f15545,f15546,f15550,f15551,f15552,f15553,f15558,f15559,f15560,f15561,f15562,f15567,f15572,f15577,f15893,f15904,f15913,f15918,f15926,f15935,f15940,f15949,f15954,f15958,f15966,f15971,f15976,f15981,f15986,f15993,f16000,f16004,f16008,f16009,f16014,f16021,f16026,f16030,f16035,f16039,f16044,f16049,f16050,f16059,f16060,f16061,f16066,f16071,f16072,f16077,f16082,f16088,f16093,f16097,f16098,f16107,f16108,f16113,f16118,f16123,f16128,f16133,f16134,f16135,f16136,f16137,f16138,f16143,f16148,f16149,f16150,f16155,f16160,f16162,f16163,f16171,f16173,f16174,f16175,f16180,f16185,f16186,f16191,f16192,f16193,f16194,f16195,f16200,f16201,f16202,f16203,f16208,f16209,f16216,f16532,f16537,f16546,f16555,f16560,f16571,f16575,f16580,f16585,f16590,f16595,f16599,f16607,f16611,f16616,f16625,f16632,f16640,f16645,f16650,f16655,f16656,f16661,f16666,f16671,f16675,f16676,f16677,f16682,f16687,f16689,f16693,f16698,f16702,f16706,f16711,f16720,f16721,f16722,f16723,f16724,f16728,f16733,f16738,f16739,f16740,f16741,f16746,f16751,f16756,f16761,f16765,f16774,f16775,f16776,f16777,f16782,f16783,f16788,f16789,f16790,f16794,f16799,f16800,f16808,f16809,f16810,f16815,f16820,f16821,f16826,f16827,f16828,f16833,f16834,f16839,f16844,f16845,f16846,f16855,f16860,f16869,f16874,f16881,f16887,f16893,f16917,f16927,f16937,f16947,f17009,f17014,f17019,f17021,f17026,f17031,f17032,f17033,f17038,f17043,f17048,f17049,f17056,f17101,f17102,f17107,f17112,f17113,f17118,f17123,f17124,f17129,f17134,f17135,f17140,f17170,f17203,f17204,f17209,f17210,f17211,f17212,f17213,f17214,f17215,f17217,f17273,f17282,f17283,f17285,f17286,f17289,f17290,f17292,f17295,f17296,f17299,f17301,f17302,f17310,f17317,f17325,f17342,f17387,f17392,f17397,f17402,f17407,f17408,f17413,f17414,f17415,f17416,f17421,f17426,f17487,f17492,f17497,f17502,f17507,f17508,f17513,f17518,f17523,f17525,f17526,f17527,f17534,f17889,f17890,f17895,f17898,f17903,f17908,f17913,f17919,f17924,f17929,f17935,f17936,f17937,f17942]) ).
fof(f17942,plain,
( ~ spl734_666
| spl734_5 ),
inference(avatar_split_clause,[],[f17717,f7171,f17939]) ).
fof(f17939,plain,
( spl734_666
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_666])]) ).
fof(f7171,plain,
( spl734_5
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_5])]) ).
fof(f17717,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_5 ),
inference(resolution,[],[f7173,f5639]) ).
fof(f5639,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK624(X0,X1))))) ),
inference(cnf_transformation,[],[f3625]) ).
fof(f3625,plain,
! [X1,X0] :
( ? [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ? [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(ennf_transformation,[],[f3077]) ).
fof(f3077,plain,
! [X0,X1] :
( ~ ! [X3] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ? [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X6,X3] :
( ? [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ~ ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_FORALLu_THM) ).
fof(f7173,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_5 ),
inference(avatar_component_clause,[],[f7171]) ).
fof(f17937,plain,
( ~ spl734_659
| spl734_5 ),
inference(avatar_split_clause,[],[f17667,f7171,f17900]) ).
fof(f17900,plain,
( spl734_659
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_659])]) ).
fof(f17667,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0))))
| spl734_5 ),
inference(resolution,[],[f7173,f5807]) ).
fof(f5807,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3381]) ).
fof(f3381,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))),s(real,X1)))) ) ),
inference(rectify,[],[f1152]) ).
fof(f1152,axiom,
! [X87,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X87))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X87))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X87))))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_BOUNDSu_LE) ).
fof(f17936,plain,
( ~ spl734_266
| spl734_5 ),
inference(avatar_split_clause,[],[f17679,f7171,f12584]) ).
fof(f12584,plain,
( spl734_266
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_le)))),s(real,sK687(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_266])]) ).
fof(f17679,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_le)))),s(real,sK687(real,real,realu_le)))))
| spl734_5 ),
inference(resolution,[],[f7173,f5814]) ).
fof(f5814,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sK688(X0,X1,X2)))),s(X0,sK687(X0,X1,X2)))))
| p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4)))) ),
inference(cnf_transformation,[],[f3045]) ).
fof(f3045,plain,
! [X0,X2,X1] :
( ! [X6,X5] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X5))),s(X0,X6))))
<=> ! [X4,X3] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4)))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X9,X3,X6] :
( ! [X0,X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
<=> ! [X0,X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSWAPu_FORALLu_THM) ).
fof(f17935,plain,
( ~ spl734_665
| spl734_5 ),
inference(avatar_split_clause,[],[f17697,f7171,f17932]) ).
fof(f17932,plain,
( spl734_665
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_665])]) ).
fof(f17697,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| spl734_5 ),
inference(resolution,[],[f7173,f4773]) ).
fof(f4773,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,sK256(X0,X1,X2)))))
| p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(cnf_transformation,[],[f4054]) ).
fof(f4054,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))
<=> ! [X3] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3))))
| s(X0,X3) != s(X0,X1) ) ),
inference(ennf_transformation,[],[f3038]) ).
fof(f3038,plain,
! [X2,X1,X0] :
( ! [X3] :
( s(X0,X3) = s(X0,X1)
=> p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3)))) )
<=> p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X16,X15,X6] :
( ! [X0] :
( s(X16,X15) = s(X16,X0)
=> p(s(bool,i(s(fun(X16,bool),X6),s(X16,X0)))) )
<=> p(s(bool,i(s(fun(X16,bool),X6),s(X16,X15)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_UNWINDu_THM1) ).
fof(f17929,plain,
( ~ spl734_664
| spl734_5 ),
inference(avatar_split_clause,[],[f17718,f7171,f17926]) ).
fof(f17926,plain,
( spl734_664
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_664])]) ).
fof(f17718,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_5 ),
inference(resolution,[],[f7173,f5640]) ).
fof(f5640,plain,
! [X3,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK625(X0,X1)))))
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(cnf_transformation,[],[f3625]) ).
fof(f17924,plain,
( ~ spl734_663
| spl734_5 ),
inference(avatar_split_clause,[],[f17719,f7171,f17921]) ).
fof(f17921,plain,
( spl734_663
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_663])]) ).
fof(f17719,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| spl734_5 ),
inference(resolution,[],[f7173,f5647]) ).
fof(f5647,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
| ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,sK626(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f4005]) ).
fof(f4005,plain,
! [X1,X2,X0] :
( ! [X3] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X3))))
| s(X2,X1) != s(X2,X3) )
<=> p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1)))) ),
inference(ennf_transformation,[],[f3075]) ).
fof(f3075,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
<=> ! [X3] :
( s(X2,X1) = s(X2,X3)
=> p(s(bool,i(s(fun(X2,bool),X0),s(X2,X3)))) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X6,X15,X3] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X15))))
<=> ! [X0] :
( s(X3,X0) = s(X3,X15)
=> p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_UNWINDu_THM2) ).
fof(f17919,plain,
( spl734_662
| spl734_5 ),
inference(avatar_split_clause,[],[f17730,f7171,f17916]) ).
fof(f17916,plain,
( spl734_662
<=> sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_662])]) ).
fof(f17730,plain,
( sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0))
| spl734_5 ),
inference(resolution,[],[f7173,f6241]) ).
fof(f6241,plain,
! [X2,X0,X1] :
( sQ733_eqProxy(s(X0,sK256(X0,X1,X2)),s(X0,X1))
| p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(equality_proxy_replacement,[],[f4772,f5956]) ).
fof(f5956,plain,
! [X0,X1] :
( sQ733_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ733_eqProxy])]) ).
fof(f4772,plain,
! [X2,X0,X1] :
( s(X0,sK256(X0,X1,X2)) = s(X0,X1)
| p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(cnf_transformation,[],[f4054]) ).
fof(f17913,plain,
( ~ spl734_661
| spl734_5 ),
inference(avatar_split_clause,[],[f17692,f7171,f17910]) ).
fof(f17910,plain,
( spl734_661
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_661])]) ).
fof(f17692,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_5 ),
inference(resolution,[],[f7173,f4577]) ).
fof(f4577,plain,
! [X3,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK184(X0,X1))))) ),
inference(cnf_transformation,[],[f3656]) ).
fof(f3656,plain,
! [X1,X0] :
( ? [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ? [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(ennf_transformation,[],[f3069]) ).
fof(f3069,plain,
! [X0,X1] :
( ~ ! [X3] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ? [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X6,X3] :
( ? [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ~ ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_NOTu_THM) ).
fof(f17908,plain,
( ~ spl734_660
| spl734_5 ),
inference(avatar_split_clause,[],[f17691,f7171,f17905]) ).
fof(f17905,plain,
( spl734_660
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_660])]) ).
fof(f17691,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_5 ),
inference(resolution,[],[f7173,f4576]) ).
fof(f4576,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK183(X0,X1)))))
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(cnf_transformation,[],[f3656]) ).
fof(f17903,plain,
( ~ spl734_659
| spl734_5 ),
inference(avatar_split_clause,[],[f17665,f7171,f17900]) ).
fof(f17665,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0))))
| spl734_5 ),
inference(resolution,[],[f7173,f5596]) ).
fof(f5596,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3391]) ).
fof(f3391,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ) ),
inference(rectify,[],[f1151]) ).
fof(f1151,axiom,
! [X87,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X87))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X87))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X87))))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_BOUNDS) ).
fof(f17898,plain,
( ~ spl734_2
| spl734_5
| ~ spl734_137 ),
inference(avatar_contradiction_clause,[],[f17897]) ).
fof(f17897,plain,
( $false
| ~ spl734_2
| spl734_5
| ~ spl734_137 ),
inference(subsumption_resolution,[],[f17896,f6922]) ).
fof(f6922,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ spl734_2 ),
inference(avatar_component_clause,[],[f6921]) ).
fof(f6921,plain,
( spl734_2
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_2])]) ).
fof(f17896,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_5
| ~ spl734_137 ),
inference(subsumption_resolution,[],[f17646,f8537]) ).
fof(f8537,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_137 ),
inference(avatar_component_clause,[],[f8535]) ).
fof(f8535,plain,
( spl734_137
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_137])]) ).
fof(f17646,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_5 ),
inference(resolution,[],[f7173,f5421]) ).
fof(f5421,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X0))),s(cart(real,X1),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f2936]) ).
fof(f2936,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X0))),s(cart(real,X1),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
inference(rectify,[],[f2881]) ).
fof(f2881,axiom,
! [X0,X732] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LEu_SQUARE) ).
fof(f17895,plain,
( spl734_658
| spl734_5 ),
inference(avatar_split_clause,[],[f17736,f7171,f17892]) ).
fof(f17892,plain,
( spl734_658
<=> sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_658])]) ).
fof(f17736,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)),s(real,a0))
| spl734_5 ),
inference(resolution,[],[f7173,f6713]) ).
fof(f6713,plain,
! [X2,X0,X1] :
( sQ733_eqProxy(s(X2,sK626(X0,X1,X2)),s(X2,X1))
| p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1)))) ),
inference(equality_proxy_replacement,[],[f5646,f5956]) ).
fof(f5646,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
| s(X2,sK626(X0,X1,X2)) = s(X2,X1) ),
inference(cnf_transformation,[],[f4005]) ).
fof(f17890,plain,
( ~ spl734_260
| spl734_5 ),
inference(avatar_split_clause,[],[f17674,f7171,f12548]) ).
fof(f12548,plain,
( spl734_260
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_le)))),s(real,sK689(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_260])]) ).
fof(f17674,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_le)))),s(real,sK689(real,real,realu_le)))))
| spl734_5 ),
inference(resolution,[],[f7173,f5813]) ).
fof(f5813,plain,
! [X2,X0,X1,X6,X5] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X5))),s(X0,X6))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sK690(X0,X1,X2)))),s(X0,sK689(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3045]) ).
fof(f17889,plain,
( ~ spl734_657
| spl734_5 ),
inference(avatar_split_clause,[],[f17696,f7171,f17886]) ).
fof(f17886,plain,
( spl734_657
<=> sP251(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_657])]) ).
fof(f17696,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| spl734_5 ),
inference(resolution,[],[f7173,f4749]) ).
fof(f4749,plain,
! [X1,X6,X5] :
( ~ sP251(X5,X1)
| p(s(bool,i(s(fun(X1,bool),X5),s(X1,X6)))) ),
inference(cnf_transformation,[],[f3059]) ).
fof(f3059,plain,
! [X2,X1,X0] :
( ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3)
<=> ! [X5] :
( ! [X6] : p(s(bool,i(s(fun(X1,bool),X5),s(X1,X6))))
<=> ! [X7] : p(s(bool,i(s(fun(X1,bool),X5),s(X1,i(s(fun(X0,X1),X2),s(X0,X7)))))) ) ),
inference(rectify,[],[f1883]) ).
fof(f1883,axiom,
! [X3,X9,X10] :
( ! [X7] :
? [X0] : s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
<=> ! [X6] :
( ! [X7] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,X7))))
<=> ! [X0] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSURJECTIVEu_FORALLu_THM) ).
fof(f17534,plain,
( spl734_656
| ~ spl734_130 ),
inference(avatar_split_clause,[],[f17529,f8493,f17531]) ).
fof(f17531,plain,
( spl734_656
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK680(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_656])]) ).
fof(f8493,plain,
( spl734_130
<=> sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_130])]) ).
fof(f17529,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK680(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))
| ~ spl734_130 ),
inference(resolution,[],[f8494,f5799]) ).
fof(f5799,plain,
! [X2,X0,X1,X9] :
( p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,sK680(X0,X1,X2,X9)))))
| ~ sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f3808,plain,
! [X2,X1,X0] :
( ! [X9] :
( ! [X12,X11] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X11))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X12))))
| s(X1,X12) = s(X1,X11) )
& ? [X10] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10)))) )
<=> ( ! [X5,X6] :
( s(fun(X2,X1),X6) = s(fun(X2,X1),X5)
| ? [X8] : ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X8))),s(X1,i(s(fun(X2,X1),X5),s(X2,X8))))))
| ? [X7] : ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X7))),s(X1,i(s(fun(X2,X1),X6),s(X2,X7)))))) )
& ? [X3] :
! [X4] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X4))),s(X1,i(s(fun(X2,X1),X3),s(X2,X4)))))) ) ),
inference(flattening,[],[f3807]) ).
fof(f3807,plain,
! [X2,X1,X0] :
( ( ? [X3] :
! [X4] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X4))),s(X1,i(s(fun(X2,X1),X3),s(X2,X4))))))
& ! [X6,X5] :
( s(fun(X2,X1),X6) = s(fun(X2,X1),X5)
| ? [X7] : ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X7))),s(X1,i(s(fun(X2,X1),X6),s(X2,X7))))))
| ? [X8] : ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X8))),s(X1,i(s(fun(X2,X1),X5),s(X2,X8)))))) ) )
<=> ! [X9] :
( ! [X12,X11] :
( s(X1,X12) = s(X1,X11)
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X11))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X12)))) )
& ? [X10] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10)))) ) ),
inference(ennf_transformation,[],[f3064]) ).
fof(f3064,plain,
! [X2,X1,X0] :
( ( ? [X3] :
! [X4] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X4))),s(X1,i(s(fun(X2,X1),X3),s(X2,X4))))))
& ! [X6,X5] :
( ( ! [X7] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X7))),s(X1,i(s(fun(X2,X1),X6),s(X2,X7))))))
& ! [X8] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X8))),s(X1,i(s(fun(X2,X1),X5),s(X2,X8)))))) )
=> s(fun(X2,X1),X6) = s(fun(X2,X1),X5) ) )
<=> ! [X9] :
( ! [X12,X11] :
( ( p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X11))))
& p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X12)))) )
=> s(X1,X12) = s(X1,X11) )
& ? [X10] : p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10)))) ) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X6,X9,X3] :
( ( ? [X10] :
! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))))
& ! [X10,X1] :
( ( ! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X1),s(X3,X0))))))
& ! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))) )
=> s(fun(X3,X9),X10) = s(fun(X3,X9),X1) ) )
<=> ! [X0] :
( ? [X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
& ! [X7,X1] :
( ( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X1)))) )
=> s(X9,X7) = s(X9,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIQUEu_SKOLEMu_THM) ).
fof(f8494,plain,
( sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_130 ),
inference(avatar_component_clause,[],[f8493]) ).
fof(f17527,plain,
( spl734_653
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17449,f7252,f17510]) ).
fof(f17510,plain,
( spl734_653
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_653])]) ).
fof(f7252,plain,
( spl734_20
<=> sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_20])]) ).
fof(f17449,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6133]) ).
fof(f6133,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4554,f5956]) ).
fof(f4554,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3095]) ).
fof(f3095,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
<=> ( s(real,X0) = s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ) ),
inference(rectify,[],[f1028]) ).
fof(f1028,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
| s(real,X0) = s(real,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_LT) ).
fof(f7254,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)),s(real,a0))
| ~ spl734_20 ),
inference(avatar_component_clause,[],[f7252]) ).
fof(f17526,plain,
( spl734_653
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17461,f7252,f17510]) ).
fof(f17461,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6889]) ).
fof(f6889,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f5928,f5956]) ).
fof(f5928,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3131]) ).
fof(f3131,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) )
<=> s(real,X0) = s(real,X1) ),
inference(rectify,[],[f970]) ).
fof(f970,axiom,
! [X7,X0] :
( s(real,X0) = s(real,X7)
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_ANTISYM) ).
fof(f17525,plain,
( ~ spl734_651
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17448,f7252,f17499]) ).
fof(f17499,plain,
( spl734_651
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_651])]) ).
fof(f17448,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6113]) ).
fof(f6113,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(equality_proxy_replacement,[],[f4472,f5956]) ).
fof(f4472,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) != s(real,X1) ),
inference(cnf_transformation,[],[f3087]) ).
fof(f3087,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ) ),
inference(rectify,[],[f1069]) ).
fof(f1069,axiom,
! [X7,X0] :
( s(real,X0) != s(real,X7)
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_NOTu_EQ) ).
fof(f17523,plain,
( spl734_655
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17480,f7252,f17520]) ).
fof(f17520,plain,
( spl734_655
<=> sQ733_eqProxy(s(real,a0),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_655])]) ).
fof(f17480,plain,
( sQ733_eqProxy(s(real,a0),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6913]) ).
fof(f6913,plain,
! [X0,X1] :
( sQ733_eqProxy(X1,X0)
| ~ sQ733_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f5956]) ).
fof(f17518,plain,
( spl734_654
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17457,f7252,f17515]) ).
fof(f17515,plain,
( spl734_654
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_654])]) ).
fof(f17457,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6730]) ).
fof(f6730,plain,
! [X0,X1] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,X0))),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f5674,f5956,f5956]) ).
fof(f5674,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| s(real,i(s(fun(real,real),realu_inv),s(real,X0))) = s(real,i(s(fun(real,real),realu_inv),s(real,X1))) ),
inference(cnf_transformation,[],[f3371]) ).
fof(f3371,plain,
! [X0,X1] :
( s(real,i(s(fun(real,real),realu_inv),s(real,X0))) = s(real,i(s(fun(real,real),realu_inv),s(real,X1)))
<=> s(real,X0) = s(real,X1) ),
inference(rectify,[],[f1193]) ).
fof(f1193,axiom,
! [X7,X0] :
( s(real,i(s(fun(real,real),realu_inv),s(real,X0))) = s(real,i(s(fun(real,real),realu_inv),s(real,X7)))
<=> s(real,X0) = s(real,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_EQu_INV2) ).
fof(f17513,plain,
( spl734_653
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17446,f7252,f17510]) ).
fof(f17446,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6051]) ).
fof(f6051,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f4339,f5956]) ).
fof(f4339,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f3926,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| s(real,X0) != s(real,X1) ),
inference(ennf_transformation,[],[f3137]) ).
fof(f3137,plain,
! [X1,X0] :
( s(real,X0) = s(real,X1)
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1123]) ).
fof(f1123,axiom,
! [X7,X0] :
( s(real,X0) = s(real,X7)
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_EQu_IMPu_LE) ).
fof(f17508,plain,
( ~ spl734_651
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17455,f7252,f17499]) ).
fof(f17455,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6652]) ).
fof(f6652,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(equality_proxy_replacement,[],[f5538,f5956]) ).
fof(f5538,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) != s(real,X1) ),
inference(cnf_transformation,[],[f3706]) ).
fof(f3706,plain,
! [X1,X0] :
( s(real,X0) != s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3102]) ).
fof(f3102,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
=> s(real,X0) != s(real,X1) ),
inference(rectify,[],[f1098]) ).
fof(f1098,axiom,
! [X0,X7] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
=> s(real,X0) != s(real,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_IMPu_NE) ).
fof(f17507,plain,
( spl734_652
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17450,f7252,f17504]) ).
fof(f17504,plain,
( spl734_652
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_652])]) ).
fof(f17450,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6169]) ).
fof(f6169,plain,
! [X0,X1] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,X0))),s(real,i(s(fun(real,real),realu_neg),s(real,X1))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f4629,f5956,f5956]) ).
fof(f4629,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| s(real,i(s(fun(real,real),realu_neg),s(real,X0))) = s(real,i(s(fun(real,real),realu_neg),s(real,X1))) ),
inference(cnf_transformation,[],[f3404]) ).
fof(f3404,plain,
! [X0,X1] :
( s(real,i(s(fun(real,real),realu_neg),s(real,X0))) = s(real,i(s(fun(real,real),realu_neg),s(real,X1)))
<=> s(real,X0) = s(real,X1) ),
inference(rectify,[],[f1126]) ).
fof(f1126,axiom,
! [X7,X0] :
( s(real,i(s(fun(real,real),realu_neg),s(real,X0))) = s(real,i(s(fun(real,real),realu_neg),s(real,X7)))
<=> s(real,X0) = s(real,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_EQu_NEG2) ).
fof(f17502,plain,
( ~ spl734_651
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17443,f7252,f17499]) ).
fof(f17443,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6005]) ).
fof(f6005,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f4223,f5956]) ).
fof(f4223,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3091]) ).
fof(f3091,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& s(real,X0) != s(real,X1) ) ),
inference(rectify,[],[f1032]) ).
fof(f1032,axiom,
! [X0,X7] :
( ( s(real,X0) != s(real,X7)
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) )
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_LE) ).
fof(f17497,plain,
( spl734_650
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17456,f7252,f17494]) ).
fof(f17494,plain,
( spl734_650
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_650])]) ).
fof(f17456,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6677]) ).
fof(f6677,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5572,f5956,f5956]) ).
fof(f5572,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0))) ),
inference(cnf_transformation,[],[f3158]) ).
fof(f3158,plain,
! [X1,X0] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0)))
<=> s(real,X0) = s(real,X1) ),
inference(rectify,[],[f1031]) ).
fof(f1031,axiom,
! [X7,X0] :
( s(real,X0) = s(real,X7)
<=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_SUBu_0) ).
fof(f17492,plain,
( spl734_649
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17460,f7252,f17489]) ).
fof(f17489,plain,
( spl734_649
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_649])]) ).
fof(f17460,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))),s(real,a0))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6888]) ).
fof(f6888,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f5929,f5956]) ).
fof(f5929,plain,
! [X0,X1] :
( s(real,X0) != s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3131]) ).
fof(f17487,plain,
( ~ spl734_648
| ~ spl734_20 ),
inference(avatar_split_clause,[],[f17447,f7252,f17484]) ).
fof(f17484,plain,
( spl734_648
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_648])]) ).
fof(f17447,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| ~ spl734_20 ),
inference(resolution,[],[f7254,f6112]) ).
fof(f6112,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4473,f5956]) ).
fof(f4473,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| s(real,X0) != s(real,X1) ),
inference(cnf_transformation,[],[f3087]) ).
fof(f17426,plain,
( spl734_647
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17357,f7191,f17423]) ).
fof(f17423,plain,
( spl734_647
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_647])]) ).
fof(f7191,plain,
( spl734_9
<=> sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_9])]) ).
fof(f17357,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6730]) ).
fof(f7193,plain,
( sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0))
| ~ spl734_9 ),
inference(avatar_component_clause,[],[f7191]) ).
fof(f17421,plain,
( spl734_646
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17380,f7191,f17418]) ).
fof(f17418,plain,
( spl734_646
<=> sQ733_eqProxy(s(real,a0),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_646])]) ).
fof(f17380,plain,
( sQ733_eqProxy(s(real,a0),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6913]) ).
fof(f17416,plain,
( spl734_640
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17361,f7191,f17384]) ).
fof(f17384,plain,
( spl734_640
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_640])]) ).
fof(f17361,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6889]) ).
fof(f17415,plain,
( ~ spl734_644
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17355,f7191,f17404]) ).
fof(f17404,plain,
( spl734_644
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_644])]) ).
fof(f17355,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6652]) ).
fof(f17414,plain,
( spl734_640
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17349,f7191,f17384]) ).
fof(f17349,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6133]) ).
fof(f17413,plain,
( spl734_645
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17350,f7191,f17410]) ).
fof(f17410,plain,
( spl734_645
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_645])]) ).
fof(f17350,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6169]) ).
fof(f17408,plain,
( ~ spl734_644
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17343,f7191,f17404]) ).
fof(f17343,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6005]) ).
fof(f17407,plain,
( ~ spl734_644
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17348,f7191,f17404]) ).
fof(f17348,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6113]) ).
fof(f17402,plain,
( spl734_643
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17360,f7191,f17399]) ).
fof(f17399,plain,
( spl734_643
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_643])]) ).
fof(f17360,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,a0))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6888]) ).
fof(f17397,plain,
( spl734_642
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17356,f7191,f17394]) ).
fof(f17394,plain,
( spl734_642
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_642])]) ).
fof(f17356,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6677]) ).
fof(f17392,plain,
( ~ spl734_641
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17347,f7191,f17389]) ).
fof(f17389,plain,
( spl734_641
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_641])]) ).
fof(f17347,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6112]) ).
fof(f17387,plain,
( spl734_640
| ~ spl734_9 ),
inference(avatar_split_clause,[],[f17346,f7191,f17384]) ).
fof(f17346,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_9 ),
inference(resolution,[],[f7193,f6051]) ).
fof(f17342,plain,
( ~ spl734_390
| spl734_370 ),
inference(avatar_split_clause,[],[f17340,f14775,f14869]) ).
fof(f14869,plain,
( spl734_390
<=> sQ733_eqProxy(s(real,sK217(real,real,realu_le)),s(real,sK216(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_390])]) ).
fof(f14775,plain,
( spl734_370
<=> sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK217(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_370])]) ).
fof(f17340,plain,
( ~ sQ733_eqProxy(s(real,sK217(real,real,realu_le)),s(real,sK216(real,real,realu_le)))
| spl734_370 ),
inference(resolution,[],[f14776,f6913]) ).
fof(f14776,plain,
( ~ sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK217(real,real,realu_le)))
| spl734_370 ),
inference(avatar_component_clause,[],[f14775]) ).
fof(f17325,plain,
( spl734_289
| spl734_639
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f17320,f6921,f17322,f13577]) ).
fof(f13577,plain,
( spl734_289
<=> ! [X1] : p(s(bool,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_289])]) ).
fof(f17322,plain,
( spl734_639
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK560(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_639])]) ).
fof(f17320,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK560(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| p(s(bool,X1)) )
| ~ spl734_2 ),
inference(resolution,[],[f13065,f5527]) ).
fof(f5527,plain,
! [X2,X0,X1,X4] :
( ~ sP559(X4,X2,X1,X0)
| p(s(bool,i(s(fun(X2,bool),X0),s(X2,sK560(X0,X2)))))
| p(s(bool,X1)) ),
inference(cnf_transformation,[],[f3071]) ).
fof(f3071,plain,
! [X2,X1,X0] :
( ? [X4] :
( p(s(bool,X1))
| p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4)))) )
<=> ( p(s(bool,X1))
| ? [X3] : p(s(bool,i(s(fun(X2,bool),X0),s(X2,X3)))) ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X6,X3] :
( ( p(s(bool,X6))
| ? [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) )
<=> ? [X0] :
( p(s(bool,X6))
| p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aRIGHTu_ORu_EXISTSu_THM) ).
fof(f13065,plain,
( ! [X262] : sP559(a0,real,X262,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5524]) ).
fof(f5524,plain,
! [X2,X0,X1,X4] :
( sP559(X4,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4)))) ),
inference(cnf_transformation,[],[f3071]) ).
fof(f17317,plain,
( spl734_289
| spl734_638
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f17312,f6921,f17314,f13577]) ).
fof(f17314,plain,
( spl734_638
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK429(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_638])]) ).
fof(f17312,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK429(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| p(s(bool,X1)) )
| ~ spl734_2 ),
inference(resolution,[],[f13052,f5228]) ).
fof(f5228,plain,
! [X2,X0,X1,X4] :
( ~ sP428(X4,X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK429(X0,X1)))))
| p(s(bool,X2)) ),
inference(cnf_transformation,[],[f3076]) ).
fof(f3076,plain,
! [X1,X2,X0] :
( ? [X4] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| p(s(bool,X2)) )
<=> ( ? [X3] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| p(s(bool,X2)) ) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X6,X3,X4] :
( ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
| p(s(bool,X4)) )
<=> ? [X0] :
( p(s(bool,X4))
| p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEFTu_ORu_EXISTSu_THM) ).
fof(f13052,plain,
( ! [X253] : sP428(a0,X253,real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5226]) ).
fof(f5226,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| sP428(X4,X2,X1,X0) ),
inference(cnf_transformation,[],[f3076]) ).
fof(f17310,plain,
( spl734_637
| spl734_251
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f17304,f6921,f10608,f17307]) ).
fof(f17307,plain,
( spl734_637
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK369(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_637])]) ).
fof(f10608,plain,
( spl734_251
<=> ! [X0] : ~ p(s(bool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_251])]) ).
fof(f17304,plain,
( ! [X0] :
( ~ p(s(bool,X0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK369(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13044,f5050]) ).
fof(f5050,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,X2))
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK369(X0,X1)))))
| ~ sP368(X4,X2,X1,X0) ),
inference(cnf_transformation,[],[f3800]) ).
fof(f3800,plain,
! [X1,X2,X0] :
( ? [X4] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,X2)) )
<=> ( ~ p(s(bool,X2))
| ? [X3] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ) ),
inference(ennf_transformation,[],[f3062]) ).
fof(f3062,plain,
! [X2,X1,X0] :
( ? [X4] :
( p(s(bool,X2))
=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) )
<=> ( p(s(bool,X2))
=> ? [X3] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ) ),
inference(rectify,[],[f115]) ).
fof(f115,axiom,
! [X3,X4,X6] :
( ( p(s(bool,X6))
=> ? [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) )
<=> ? [X0] :
( p(s(bool,X6))
=> p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aRIGHTu_EXISTSu_IMPu_THM) ).
fof(f13044,plain,
( ! [X249] : sP368(a0,X249,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5048]) ).
fof(f5048,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| sP368(X4,X2,X1,X0) ),
inference(cnf_transformation,[],[f3800]) ).
fof(f17302,plain,
( spl734_625
| ~ spl734_628
| spl734_179 ),
inference(avatar_split_clause,[],[f17230,f9174,f17120,f17104]) ).
fof(f17104,plain,
( spl734_625
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_625])]) ).
fof(f17120,plain,
( spl734_628
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_628])]) ).
fof(f9174,plain,
( spl734_179
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_179])]) ).
fof(f17230,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f6004]) ).
fof(f6004,plain,
! [X0,X1] :
( sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(equality_proxy_replacement,[],[f4225,f5956]) ).
fof(f4225,plain,
! [X0,X1] :
( s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3091]) ).
fof(f9175,plain,
( ~ sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,a0))
| spl734_179 ),
inference(avatar_component_clause,[],[f9174]) ).
fof(f17301,plain,
( spl734_625
| spl734_179
| spl734_629 ),
inference(avatar_split_clause,[],[f17300,f17126,f9174,f17104]) ).
fof(f17126,plain,
( spl734_629
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_629])]) ).
fof(f17300,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179
| spl734_629 ),
inference(subsumption_resolution,[],[f17233,f17128]) ).
fof(f17128,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_629 ),
inference(avatar_component_clause,[],[f17126]) ).
fof(f17233,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_179 ),
inference(resolution,[],[f9175,f6114]) ).
fof(f6114,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4471,f5956]) ).
fof(f4471,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| s(real,X0) = s(real,X1) ),
inference(cnf_transformation,[],[f3087]) ).
fof(f17299,plain,
( spl734_179
| spl734_625
| spl734_629 ),
inference(avatar_contradiction_clause,[],[f17298]) ).
fof(f17298,plain,
( $false
| spl734_179
| spl734_625
| spl734_629 ),
inference(subsumption_resolution,[],[f17297,f17106]) ).
fof(f17106,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_625 ),
inference(avatar_component_clause,[],[f17104]) ).
fof(f17297,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179
| spl734_629 ),
inference(subsumption_resolution,[],[f17229,f17128]) ).
fof(f17229,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f5970]) ).
fof(f5970,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(equality_proxy_replacement,[],[f4150,f5956]) ).
fof(f4150,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| s(real,X0) = s(real,X1) ),
inference(cnf_transformation,[],[f3106]) ).
fof(f3106,plain,
! [X1,X0] :
( s(real,X0) = s(real,X1)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1076]) ).
fof(f1076,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
| s(real,X0) = s(real,X7)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_TOTAL) ).
fof(f17296,plain,
( ~ spl734_631
| spl734_179 ),
inference(avatar_split_clause,[],[f17242,f9174,f17137]) ).
fof(f17137,plain,
( spl734_631
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_631])]) ).
fof(f17242,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_179 ),
inference(resolution,[],[f9175,f6676]) ).
fof(f6676,plain,
! [X0,X1] :
( sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5573,f5956,f5956]) ).
fof(f5573,plain,
! [X0,X1] :
( s(real,X0) = s(real,X1)
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0))) ),
inference(cnf_transformation,[],[f3158]) ).
fof(f17295,plain,
( ~ spl734_635
| ~ spl734_2
| ~ spl734_25
| spl734_179 ),
inference(avatar_split_clause,[],[f17294,f9174,f7667,f6921,f17276]) ).
fof(f17276,plain,
( spl734_635
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_635])]) ).
fof(f7667,plain,
( spl734_25
<=> ! [X300] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X300))))
| sQ733_eqProxy(s(real,X300),s(real,a0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_25])]) ).
fof(f17294,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_2
| ~ spl734_25
| spl734_179 ),
inference(subsumption_resolution,[],[f17293,f13261]) ).
fof(f13261,plain,
( ! [X113] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X113))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X113)))) )
| ~ spl734_2
| ~ spl734_25 ),
inference(subsumption_resolution,[],[f12940,f7668]) ).
fof(f7668,plain,
( ! [X300] :
( sQ733_eqProxy(s(real,X300),s(real,a0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X300)))) )
| ~ spl734_25 ),
inference(avatar_component_clause,[],[f7667]) ).
fof(f12940,plain,
( ! [X113] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X113))))
| ~ sQ733_eqProxy(s(real,X113),s(real,a0))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X113))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6815]) ).
fof(f6815,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ sQ733_eqProxy(s(real,X0),s(real,X1))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5820,f5956,f5956]) ).
fof(f5820,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),sqrt),s(real,X1)))
| s(real,X0) != s(real,X1) ),
inference(cnf_transformation,[],[f4045]) ).
fof(f4045,plain,
! [X1,X0] :
( ( s(real,X0) = s(real,X1)
<=> s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),sqrt),s(real,X1))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(flattening,[],[f4044]) ).
fof(f4044,plain,
! [X1,X0] :
( ( s(real,X0) = s(real,X1)
<=> s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),sqrt),s(real,X1))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f3001]) ).
fof(f3001,plain,
! [X1,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
=> ( s(real,X0) = s(real,X1)
<=> s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),sqrt),s(real,X1))) ) ),
inference(rectify,[],[f2833]) ).
fof(f2833,axiom,
! [X0,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
=> ( s(real,X0) = s(real,X7)
<=> s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),sqrt),s(real,X7))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_INJ) ).
fof(f17293,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_2
| spl734_179 ),
inference(subsumption_resolution,[],[f17245,f6922]) ).
fof(f17245,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f6816]) ).
fof(f6816,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5819,f5956,f5956]) ).
fof(f5819,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,i(s(fun(real,real),sqrt),s(real,X0))) != s(real,i(s(fun(real,real),sqrt),s(real,X1)))
| s(real,X0) = s(real,X1) ),
inference(cnf_transformation,[],[f4045]) ).
fof(f17292,plain,
( ~ spl734_628
| spl734_179
| spl734_625 ),
inference(avatar_split_clause,[],[f17291,f17104,f9174,f17120]) ).
fof(f17291,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179
| spl734_625 ),
inference(subsumption_resolution,[],[f17230,f17106]) ).
fof(f17290,plain,
( ~ spl734_630
| spl734_179 ),
inference(avatar_split_clause,[],[f17271,f9174,f17131]) ).
fof(f17131,plain,
( spl734_630
<=> sQ733_eqProxy(s(real,a0),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_630])]) ).
fof(f17271,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| spl734_179 ),
inference(resolution,[],[f9175,f6913]) ).
fof(f17289,plain,
( spl734_179
| spl734_625
| spl734_629 ),
inference(avatar_contradiction_clause,[],[f17288]) ).
fof(f17288,plain,
( $false
| spl734_179
| spl734_625
| spl734_629 ),
inference(subsumption_resolution,[],[f17287,f17128]) ).
fof(f17287,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_179
| spl734_625 ),
inference(subsumption_resolution,[],[f17233,f17106]) ).
fof(f17286,plain,
( ~ spl734_626
| spl734_179 ),
inference(avatar_split_clause,[],[f17235,f9174,f17109]) ).
fof(f17109,plain,
( spl734_626
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_626])]) ).
fof(f17235,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f6168]) ).
fof(f6168,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,X0))),s(real,i(s(fun(real,real),realu_neg),s(real,X1))))
| sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f4630,f5956,f5956]) ).
fof(f4630,plain,
! [X0,X1] :
( s(real,X0) = s(real,X1)
| s(real,i(s(fun(real,real),realu_neg),s(real,X0))) != s(real,i(s(fun(real,real),realu_neg),s(real,X1))) ),
inference(cnf_transformation,[],[f3404]) ).
fof(f17285,plain,
( ~ spl734_624
| spl734_179
| spl734_629 ),
inference(avatar_split_clause,[],[f17284,f17126,f9174,f17098]) ).
fof(f17098,plain,
( spl734_624
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_624])]) ).
fof(f17284,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_179
| spl734_629 ),
inference(subsumption_resolution,[],[f17234,f17128]) ).
fof(f17234,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_179 ),
inference(resolution,[],[f9175,f6134]) ).
fof(f6134,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4552,f5956]) ).
fof(f4552,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3095]) ).
fof(f17283,plain,
( ~ spl734_628
| ~ spl734_624
| spl734_179 ),
inference(avatar_split_clause,[],[f17248,f9174,f17098,f17120]) ).
fof(f17248,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f6890]) ).
fof(f6890,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5927,f5956]) ).
fof(f5927,plain,
! [X0,X1] :
( s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3131]) ).
fof(f17282,plain,
( ~ spl734_635
| spl734_636
| ~ spl734_2
| spl734_179 ),
inference(avatar_split_clause,[],[f17274,f9174,f6921,f17280,f17276]) ).
fof(f17280,plain,
( spl734_636
<=> ! [X11] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(num,X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_636])]) ).
fof(f17274,plain,
( ! [X11] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(num,X11)))) )
| ~ spl734_2
| spl734_179 ),
inference(subsumption_resolution,[],[f17239,f6922]) ).
fof(f17239,plain,
( ! [X11] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(num,X11)))) )
| spl734_179 ),
inference(resolution,[],[f9175,f6567]) ).
fof(f6567,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))
| sQ733_eqProxy(s(real,X0),s(real,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X2)) ),
inference(equality_proxy_replacement,[],[f5397,f5956,f5956,f5956]) ).
fof(f5397,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))) != s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| s(real,X0) = s(real,X1) ),
inference(cnf_transformation,[],[f3627]) ).
fof(f3627,plain,
! [X1,X2,X0] :
( s(real,X0) = s(real,X1)
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))) != s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(flattening,[],[f3626]) ).
fof(f3626,plain,
! [X2,X0,X1] :
( s(real,X0) = s(real,X1)
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))) != s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3226]) ).
fof(f3226,plain,
! [X2,X0,X1] :
( ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X2)
& s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) )
=> s(real,X0) = s(real,X1) ),
inference(rectify,[],[f1289]) ).
fof(f1289,axiom,
! [X7,X0,X83] :
( ( s(num,X83) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
& s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,X83)))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7)))) )
=> s(real,X0) = s(real,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_EQ) ).
fof(f17273,plain,
( ~ spl734_627
| spl734_179 ),
inference(avatar_split_clause,[],[f17243,f9174,f17115]) ).
fof(f17115,plain,
( spl734_627
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_627])]) ).
fof(f17243,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| spl734_179 ),
inference(resolution,[],[f9175,f6729]) ).
fof(f6729,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,X0))),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))
| sQ733_eqProxy(s(real,X0),s(real,X1)) ),
inference(equality_proxy_replacement,[],[f5675,f5956,f5956]) ).
fof(f5675,plain,
! [X0,X1] :
( s(real,X0) = s(real,X1)
| s(real,i(s(fun(real,real),realu_inv),s(real,X0))) != s(real,i(s(fun(real,real),realu_inv),s(real,X1))) ),
inference(cnf_transformation,[],[f3371]) ).
fof(f17217,plain,
( spl734_71
| ~ spl734_2
| spl734_52 ),
inference(avatar_split_clause,[],[f17216,f7788,f6921,f7887]) ).
fof(f7887,plain,
( spl734_71
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_71])]) ).
fof(f7788,plain,
( spl734_52
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_52])]) ).
fof(f17216,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_2
| spl734_52 ),
inference(subsumption_resolution,[],[f13023,f7789]) ).
fof(f7789,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| spl734_52 ),
inference(avatar_component_clause,[],[f7788]) ).
fof(f13023,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4417]) ).
fof(f4417,plain,
! [X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK106(X0,X1)))))
| sP105(X1,X0) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f4107,plain,
! [X1,X0] :
( ( ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
& ! [X6,X5] :
( s(X1,X5) = s(X1,X6)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6)))) ) )
<=> ? [X2] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
& ! [X3] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| s(X1,X3) = s(X1,X2) ) ) ),
inference(flattening,[],[f4106]) ).
fof(f4106,plain,
! [X1,X0] :
( ( ! [X6,X5] :
( s(X1,X5) = s(X1,X6)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5)))) )
& ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) )
<=> ? [X2] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
& ! [X3] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| s(X1,X3) = s(X1,X2) ) ) ),
inference(ennf_transformation,[],[f3030]) ).
fof(f3030,plain,
! [X1,X0] :
( ( ! [X6,X5] :
( ( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
& p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5)))) )
=> s(X1,X5) = s(X1,X6) )
& ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) )
<=> ? [X2] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
& ! [X3] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
=> s(X1,X3) = s(X1,X2) ) ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X6,X3] :
( ? [X0] :
( ! [X7] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X7))))
=> s(X3,X0) = s(X3,X7) )
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X1,X0] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
=> s(X3,X0) = s(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUE) ).
fof(f17215,plain,
( spl734_39
| ~ spl734_50
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f13093,f6921,f7779,f7729]) ).
fof(f7729,plain,
( spl734_39
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_39])]) ).
fof(f7779,plain,
( spl734_50
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_50])]) ).
fof(f13093,plain,
( ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6455]) ).
fof(f6455,plain,
! [X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| ~ sQ733_eqProxy(s(X1,sK406(X0,X1)),s(X1,sK405(X0,X1)))
| sP403(X1,X0) ),
inference(equality_proxy_replacement,[],[f5187,f5956]) ).
fof(f5187,plain,
! [X0,X1,X5] :
( sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| s(X1,sK406(X0,X1)) != s(X1,sK405(X0,X1)) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f3711,plain,
! [X0,X1] :
( ( ! [X7,X6] :
( s(X1,X6) = s(X1,X7)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X7)))) )
& ? [X5] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5)))) )
<=> ( ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
& ! [X3,X2] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| s(X1,X3) = s(X1,X2)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ) ) ),
inference(flattening,[],[f3710]) ).
fof(f3710,plain,
! [X1,X0] :
( ( ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
& ! [X3,X2] :
( s(X1,X3) = s(X1,X2)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ) )
<=> ( ? [X5] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
& ! [X6,X7] :
( s(X1,X6) = s(X1,X7)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X7)))) ) ) ),
inference(ennf_transformation,[],[f3036]) ).
fof(f3036,plain,
! [X1,X0] :
( ( ? [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
& ! [X3,X2] :
( ( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
& p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) )
=> s(X1,X3) = s(X1,X2) ) )
<=> ( ? [X5] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
& ! [X6,X7] :
( ( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
& p(s(bool,i(s(fun(X1,bool),X0),s(X1,X7)))) )
=> s(X1,X6) = s(X1,X7) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X6,X3] :
( ( ! [X0,X1] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
=> s(X3,X0) = s(X3,X1) )
& ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X1,X0] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1)))) )
=> s(X3,X0) = s(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUEu_THM) ).
fof(f17214,plain,
( spl734_52
| ~ spl734_90
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f13075,f6921,f7995,f7788]) ).
fof(f7995,plain,
( spl734_90
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_90])]) ).
fof(f13075,plain,
( ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6087]) ).
fof(f6087,plain,
! [X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| ~ sQ733_eqProxy(s(X1,sK106(X0,X1)),s(X1,sK107(X0,X1)))
| sP105(X1,X0) ),
inference(equality_proxy_replacement,[],[f4419,f5956]) ).
fof(f4419,plain,
! [X0,X1,X4] :
( sP105(X1,X0)
| s(X1,sK106(X0,X1)) != s(X1,sK107(X0,X1))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f17213,plain,
( ~ spl734_52
| spl734_80
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f13079,f6921,f7940,f7788]) ).
fof(f7940,plain,
( spl734_80
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_80])]) ).
fof(f13079,plain,
( sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,a0))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6090]) ).
fof(f6090,plain,
! [X3,X0,X1] :
( ~ sP105(X1,X0)
| sQ733_eqProxy(s(X1,sK109(X0,X1)),s(X1,X3))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(equality_proxy_replacement,[],[f4412,f5956]) ).
fof(f4412,plain,
! [X3,X0,X1] :
( s(X1,sK109(X0,X1)) = s(X1,X3)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| ~ sP105(X1,X0) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f17212,plain,
( ~ spl734_51
| spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f13078,f6921,f7788,f7784]) ).
fof(f7784,plain,
( spl734_51
<=> sQ733_eqProxy(s(real,a0),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real,a0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_51])]) ).
fof(f13078,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ sQ733_eqProxy(s(real,a0),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real,a0)))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6089]) ).
fof(f6089,plain,
! [X2,X0,X1] :
( sP105(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| ~ sQ733_eqProxy(s(X1,X2),s(X1,sK110(X0,X1,X2))) ),
inference(equality_proxy_replacement,[],[f4413,f5956]) ).
fof(f4413,plain,
! [X2,X0,X1] :
( s(X1,X2) != s(X1,sK110(X0,X1,X2))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| sP105(X1,X0) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f17211,plain,
( spl734_39
| spl734_40
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f13046,f6921,f7733,f7729]) ).
fof(f7733,plain,
( spl734_40
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_40])]) ).
fof(f13046,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5181]) ).
fof(f5181,plain,
! [X0,X1,X4] :
( sP403(X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK408(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f17210,plain,
( ~ spl734_391
| ~ spl734_370 ),
inference(avatar_split_clause,[],[f17174,f14775,f14873]) ).
fof(f14873,plain,
( spl734_391
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_391])]) ).
fof(f17174,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_370 ),
inference(resolution,[],[f14777,f6112]) ).
fof(f14777,plain,
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK217(real,real,realu_le)))
| ~ spl734_370 ),
inference(avatar_component_clause,[],[f14775]) ).
fof(f17209,plain,
( spl734_634
| ~ spl734_370 ),
inference(avatar_split_clause,[],[f17177,f14775,f17206]) ).
fof(f17206,plain,
( spl734_634
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(real,real),realu_neg),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_634])]) ).
fof(f17177,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(real,real),realu_neg),s(real,sK217(real,real,realu_le)))))
| ~ spl734_370 ),
inference(resolution,[],[f14777,f6169]) ).
fof(f17204,plain,
( spl734_369
| ~ spl734_370 ),
inference(avatar_split_clause,[],[f17180,f14775,f14771]) ).
fof(f14771,plain,
( spl734_369
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_369])]) ).
fof(f17180,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_370 ),
inference(resolution,[],[f14777,f6888]) ).
fof(f17203,plain,
( spl734_633
| ~ spl734_370 ),
inference(avatar_split_clause,[],[f17179,f14775,f17200]) ).
fof(f17200,plain,
( spl734_633
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_633])]) ).
fof(f17179,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_le)))))
| ~ spl734_370 ),
inference(resolution,[],[f14777,f6730]) ).
fof(f17170,plain,
( spl734_632
| spl734_251
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f17164,f6921,f10608,f17167]) ).
fof(f17167,plain,
( spl734_632
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK228(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_632])]) ).
fof(f17164,plain,
( ! [X0] :
( ~ p(s(bool,X0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK228(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13031,f4692]) ).
fof(f4692,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK228(X0,X1)))))
| ~ sP227(X4,X2,X1,X0)
| ~ p(s(bool,X2)) ),
inference(cnf_transformation,[],[f4099]) ).
fof(f4099,plain,
! [X1,X0,X2] :
( ? [X4] :
( ~ p(s(bool,X2))
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) )
<=> ( ? [X3] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| ~ p(s(bool,X2)) ) ),
inference(ennf_transformation,[],[f3080]) ).
fof(f3080,plain,
! [X1,X2,X0] :
( ( p(s(bool,X2))
=> ? [X3] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
<=> ? [X4] :
( p(s(bool,X2))
=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X3,X4,X6] :
( ( p(s(bool,X6))
=> ? [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) )
<=> ? [X0] :
( p(s(bool,X6))
=> p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aRIGHTu_IMPu_EXISTSu_THM) ).
fof(f13031,plain,
( ! [X240] : sP227(a0,X240,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4689]) ).
fof(f4689,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| sP227(X4,X2,X1,X0) ),
inference(cnf_transformation,[],[f4099]) ).
fof(f17140,plain,
( spl734_631
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17070,f9174,f17137]) ).
fof(f17070,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6677]) ).
fof(f9176,plain,
( sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,a0))
| ~ spl734_179 ),
inference(avatar_component_clause,[],[f9174]) ).
fof(f17135,plain,
( spl734_624
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17060,f9174,f17098]) ).
fof(f17060,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6051]) ).
fof(f17134,plain,
( spl734_630
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17094,f9174,f17131]) ).
fof(f17094,plain,
( sQ733_eqProxy(s(real,a0),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6913]) ).
fof(f17129,plain,
( ~ spl734_629
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17061,f9174,f17126]) ).
fof(f17061,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6112]) ).
fof(f17124,plain,
( ~ spl734_625
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17057,f9174,f17104]) ).
fof(f17057,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6005]) ).
fof(f17123,plain,
( spl734_628
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17074,f9174,f17120]) ).
fof(f17074,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6888]) ).
fof(f17118,plain,
( spl734_627
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17071,f9174,f17115]) ).
fof(f17071,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6730]) ).
fof(f17113,plain,
( ~ spl734_625
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17069,f9174,f17104]) ).
fof(f17069,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6652]) ).
fof(f17112,plain,
( spl734_626
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17064,f9174,f17109]) ).
fof(f17064,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6169]) ).
fof(f17107,plain,
( ~ spl734_625
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17062,f9174,f17104]) ).
fof(f17062,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))),s(real,a0))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6113]) ).
fof(f17102,plain,
( spl734_624
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17063,f9174,f17098]) ).
fof(f17063,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6133]) ).
fof(f17101,plain,
( spl734_624
| ~ spl734_179 ),
inference(avatar_split_clause,[],[f17075,f9174,f17098]) ).
fof(f17075,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_179 ),
inference(resolution,[],[f9176,f6889]) ).
fof(f17056,plain,
( spl734_623
| ~ spl734_54
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f17051,f7831,f7799,f17053]) ).
fof(f17053,plain,
( spl734_623
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_623])]) ).
fof(f7799,plain,
( spl734_54
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_54])]) ).
fof(f7831,plain,
( spl734_60
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_60])]) ).
fof(f17051,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_54
| ~ spl734_60 ),
inference(subsumption_resolution,[],[f17050,f5824]) ).
fof(f5824,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X0)))))),
inference(cnf_transformation,[],[f3130]) ).
fof(f3130,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X0)))))),
inference(rectify,[],[f1044]) ).
fof(f1044,axiom,
! [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POS) ).
fof(f17050,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_54
| ~ spl734_60 ),
inference(subsumption_resolution,[],[f16979,f7801]) ).
fof(f7801,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_54 ),
inference(avatar_component_clause,[],[f7799]) ).
fof(f16979,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6815]) ).
fof(f7832,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_60 ),
inference(avatar_component_clause,[],[f7831]) ).
fof(f17049,plain,
( spl734_617
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16970,f7831,f17016]) ).
fof(f17016,plain,
( spl734_617
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_617])]) ).
fof(f16970,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6133]) ).
fof(f17048,plain,
( spl734_622
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16971,f7831,f17045]) ).
fof(f17045,plain,
( spl734_622
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_622])]) ).
fof(f16971,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6169]) ).
fof(f17043,plain,
( spl734_621
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16978,f7831,f17040]) ).
fof(f17040,plain,
( spl734_621
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_621])]) ).
fof(f16978,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6730]) ).
fof(f17038,plain,
( ~ spl734_620
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16968,f7831,f17035]) ).
fof(f17035,plain,
( spl734_620
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_620])]) ).
fof(f16968,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6112]) ).
fof(f17033,plain,
( ~ spl734_615
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16964,f7831,f17006]) ).
fof(f17006,plain,
( spl734_615
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_615])]) ).
fof(f16964,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6005]) ).
fof(f17032,plain,
( ~ spl734_615
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16969,f7831,f17006]) ).
fof(f16969,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6113]) ).
fof(f17031,plain,
( spl734_619
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16963,f7831,f17028]) ).
fof(f17028,plain,
( spl734_619
<=> sP706(i(s(fun(real,real),sqrt),s(real,a0)),realu_ofu_num,real,num) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_619])]) ).
fof(f16963,plain,
( sP706(i(s(fun(real,real),sqrt),s(real,a0)),realu_ofu_num,real,num)
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6850]) ).
fof(f6850,plain,
! [X2,X3,X0,X1,X4] :
( sP706(X3,X2,X1,X0)
| ~ sQ733_eqProxy(s(X1,i(s(fun(X0,X1),X2),s(X0,X4))),s(X1,X3)) ),
inference(equality_proxy_replacement,[],[f5870,f5956]) ).
fof(f5870,plain,
! [X2,X3,X0,X1,X4] :
( s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) != s(X1,X3)
| sP706(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f3917,plain,
! [X0,X1,X2] :
( ( ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3)
& ! [X6,X5] :
( s(X0,X5) = s(X0,X6)
| s(X1,i(s(fun(X0,X1),X2),s(X0,X5))) != s(X1,i(s(fun(X0,X1),X2),s(X0,X6))) ) )
<=> ? [X7] :
( ! [X8] : s(X0,X8) = s(X0,i(s(fun(X1,X0),X7),s(X1,i(s(fun(X0,X1),X2),s(X0,X8)))))
& ! [X9] : s(X1,X9) = s(X1,i(s(fun(X0,X1),X2),s(X0,i(s(fun(X1,X0),X7),s(X1,X9))))) ) ),
inference(ennf_transformation,[],[f3123]) ).
fof(f3123,plain,
! [X2,X1,X0] :
( ? [X7] :
( ! [X8] : s(X0,X8) = s(X0,i(s(fun(X1,X0),X7),s(X1,i(s(fun(X0,X1),X2),s(X0,X8)))))
& ! [X9] : s(X1,X9) = s(X1,i(s(fun(X0,X1),X2),s(X0,i(s(fun(X1,X0),X7),s(X1,X9))))) )
<=> ( ! [X5,X6] :
( s(X1,i(s(fun(X0,X1),X2),s(X0,X5))) = s(X1,i(s(fun(X0,X1),X2),s(X0,X6)))
=> s(X0,X5) = s(X0,X6) )
& ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3) ) ),
inference(rectify,[],[f1878]) ).
fof(f1878,axiom,
! [X3,X9,X10] :
( ( ! [X7] :
? [X0] : s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& ! [X7,X0] :
( s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
=> s(X3,X0) = s(X3,X7) ) )
<=> ? [X17] :
( ! [X0] : s(X3,X0) = s(X3,i(s(fun(X9,X3),X17),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))
& ! [X7] : s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,i(s(fun(X9,X3),X17),s(X9,X7))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aBIJECTIVEu_LEFTu_RIGHTu_INVERSE) ).
fof(f17026,plain,
( spl734_618
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16977,f7831,f17023]) ).
fof(f17023,plain,
( spl734_618
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_618])]) ).
fof(f16977,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6677]) ).
fof(f17021,plain,
( spl734_617
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16967,f7831,f17016]) ).
fof(f16967,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6051]) ).
fof(f17019,plain,
( spl734_617
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16982,f7831,f17016]) ).
fof(f16982,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6889]) ).
fof(f17014,plain,
( spl734_616
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f17002,f7831,f17011]) ).
fof(f17011,plain,
( spl734_616
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_616])]) ).
fof(f17002,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6913]) ).
fof(f17009,plain,
( ~ spl734_615
| ~ spl734_60 ),
inference(avatar_split_clause,[],[f16976,f7831,f17006]) ).
fof(f16976,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_60 ),
inference(resolution,[],[f7832,f6652]) ).
fof(f16947,plain,
( spl734_613
| spl734_614
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f16939,f6921,f16944,f16941]) ).
fof(f16941,plain,
( spl734_613
<=> ! [X1] : p(s(bool,i(s(fun(real,bool),X1),s(real,sK482(X1,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_613])]) ).
fof(f16944,plain,
( spl734_614
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK483(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_614])]) ).
fof(f16939,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK483(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| p(s(bool,i(s(fun(real,bool),X1),s(real,sK482(X1,real))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13061,f5334]) ).
fof(f5334,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,sK483(X0,X2)))))
| p(s(bool,i(s(fun(X2,bool),X1),s(X2,sK482(X1,X2)))))
| ~ sP481(X2,X1,X0) ),
inference(cnf_transformation,[],[f3050]) ).
fof(f3050,plain,
! [X2,X1,X0] :
( ( ? [X4] : p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4))))
| ? [X5] : p(s(bool,i(s(fun(X2,bool),X1),s(X2,X5)))) )
<=> ? [X3] :
( p(s(bool,i(s(fun(X2,bool),X1),s(X2,X3))))
| p(s(bool,i(s(fun(X2,bool),X0),s(X2,X3)))) ) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X6,X4,X3] :
( ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
| p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) )
<=> ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
| ? [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_ORu_THM) ).
fof(f13061,plain,
( ! [X259] : sP481(real,X259,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5333]) ).
fof(f5333,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4))))
| sP481(X2,X1,X0) ),
inference(cnf_transformation,[],[f3050]) ).
fof(f16937,plain,
( spl734_611
| spl734_612
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f16929,f6921,f16935,f16931]) ).
fof(f16931,plain,
( spl734_611
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK482(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_611])]) ).
fof(f16935,plain,
( spl734_612
<=> ! [X1] : p(s(bool,i(s(fun(real,bool),X1),s(real,sK483(X1,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_612])]) ).
fof(f16929,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),X1),s(real,sK483(X1,real)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK482(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13060,f5334]) ).
fof(f13060,plain,
( ! [X258] : sP481(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X258)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5332]) ).
fof(f5332,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X2,bool),X1),s(X2,X5))))
| sP481(X2,X1,X0) ),
inference(cnf_transformation,[],[f3050]) ).
fof(f16927,plain,
( spl734_609
| spl734_610
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f16919,f6921,f16925,f16921]) ).
fof(f16921,plain,
( spl734_609
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK223(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_609])]) ).
fof(f16925,plain,
( spl734_610
<=> ! [X1] : p(s(bool,i(s(fun(real,bool),X1),s(real,sK222(X1,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_610])]) ).
fof(f16919,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),X1),s(real,sK222(X1,real)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK223(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13030,f4673]) ).
fof(f4673,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,sK223(X0,X2)))))
| ~ sP221(X2,X1,X0)
| p(s(bool,i(s(fun(X2,bool),X1),s(X2,sK222(X1,X2))))) ),
inference(cnf_transformation,[],[f3027]) ).
fof(f3027,plain,
! [X1,X0,X2] :
( ( ? [X4] : p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4))))
| ? [X3] : p(s(bool,i(s(fun(X2,bool),X1),s(X2,X3)))) )
<=> ? [X5] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X5))))
| p(s(bool,i(s(fun(X2,bool),X1),s(X2,X5)))) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X6,X4,X3] :
( ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
| ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
| p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aORu_EXISTSu_THM) ).
fof(f13030,plain,
( ! [X239] : sP221(real,X239,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4672]) ).
fof(f4672,plain,
! [X2,X0,X1,X4] :
( sP221(X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X4)))) ),
inference(cnf_transformation,[],[f3027]) ).
fof(f16917,plain,
( spl734_607
| spl734_608
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f16909,f6921,f16915,f16911]) ).
fof(f16911,plain,
( spl734_607
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK222(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_607])]) ).
fof(f16915,plain,
( spl734_608
<=> ! [X1] : p(s(bool,i(s(fun(real,bool),X1),s(real,sK223(X1,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_608])]) ).
fof(f16909,plain,
( ! [X1] :
( p(s(bool,i(s(fun(real,bool),X1),s(real,sK223(X1,real)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK222(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) )
| ~ spl734_2 ),
inference(resolution,[],[f13027,f4673]) ).
fof(f13027,plain,
( ! [X236] : sP221(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X236)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4668]) ).
fof(f4668,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X2,bool),X1),s(X2,X5))))
| sP221(X2,X1,X0) ),
inference(cnf_transformation,[],[f3027]) ).
fof(f16893,plain,
( spl734_606
| ~ spl734_474 ),
inference(avatar_split_clause,[],[f16888,f15906,f16890]) ).
fof(f16890,plain,
( spl734_606
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK680(realu_lt,real,real,sK217(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_606])]) ).
fof(f15906,plain,
( spl734_474
<=> sP675(sK217(real,real,realu_lt),real,real,realu_lt) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_474])]) ).
fof(f16888,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK680(realu_lt,real,real,sK217(real,real,realu_lt))))))
| ~ spl734_474 ),
inference(resolution,[],[f15908,f5799]) ).
fof(f15908,plain,
( sP675(sK217(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_474 ),
inference(avatar_component_clause,[],[f15906]) ).
fof(f16887,plain,
( spl734_605
| ~ spl734_440 ),
inference(avatar_split_clause,[],[f16882,f15424,f16884]) ).
fof(f16884,plain,
( spl734_605
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK680(realu_le,real,real,sK215(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_605])]) ).
fof(f15424,plain,
( spl734_440
<=> sP675(sK215(real,real,realu_le),real,real,realu_le) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_440])]) ).
fof(f16882,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK680(realu_le,real,real,sK215(real,real,realu_le))))))
| ~ spl734_440 ),
inference(resolution,[],[f15426,f5799]) ).
fof(f15426,plain,
( sP675(sK215(real,real,realu_le),real,real,realu_le)
| ~ spl734_440 ),
inference(avatar_component_clause,[],[f15424]) ).
fof(f16881,plain,
( spl734_604
| ~ spl734_93 ),
inference(avatar_split_clause,[],[f16876,f8014,f16878]) ).
fof(f16878,plain,
( spl734_604
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK64(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_604])]) ).
fof(f8014,plain,
( spl734_93
<=> sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_93])]) ).
fof(f16876,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK64(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_93 ),
inference(resolution,[],[f8016,f4342]) ).
fof(f4342,plain,
! [X3,X0] :
( p(s(bool,i(s(fun(X0,bool),X3),s(X0,sK64(X0,X3)))))
| ~ sP62(X3,X0) ),
inference(cnf_transformation,[],[f3043]) ).
fof(f3043,plain,
! [X0,X2,X1] :
( ! [X6] :
? [X7] : s(X0,i(s(fun(X1,X0),X2),s(X1,X7))) = s(X0,X6)
<=> ! [X3] :
( ? [X5] : p(s(bool,i(s(fun(X0,bool),X3),s(X0,X5))))
<=> ? [X4] : p(s(bool,i(s(fun(X0,bool),X3),s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))))) ) ),
inference(rectify,[],[f1884]) ).
fof(f1884,axiom,
! [X9,X3,X10] :
( ! [X6] :
( ? [X0] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))))
<=> ? [X7] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,X7)))) )
<=> ! [X7] :
? [X0] : s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSURJECTIVEu_EXISTSu_THM) ).
fof(f8016,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| ~ spl734_93 ),
inference(avatar_component_clause,[],[f8014]) ).
fof(f16874,plain,
( spl734_603
| ~ spl734_52 ),
inference(avatar_split_clause,[],[f16861,f7788,f16871]) ).
fof(f16871,plain,
( spl734_603
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_603])]) ).
fof(f16861,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_52 ),
inference(resolution,[],[f7790,f4415]) ).
fof(f4415,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK109(X0,X1)))))
| ~ sP105(X1,X0) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f7790,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_52 ),
inference(avatar_component_clause,[],[f7788]) ).
fof(f16869,plain,
( spl734_602
| ~ spl734_52 ),
inference(avatar_split_clause,[],[f16863,f7788,f16866]) ).
fof(f16866,plain,
( spl734_602
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK108(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_602])]) ).
fof(f16863,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK108(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_52 ),
inference(resolution,[],[f7790,f4420]) ).
fof(f4420,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK108(X0,X1)))))
| ~ sP105(X1,X0) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f16860,plain,
( spl734_601
| ~ spl734_39 ),
inference(avatar_split_clause,[],[f16849,f7729,f16857]) ).
fof(f16857,plain,
( spl734_601
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK409(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_601])]) ).
fof(f16849,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK409(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_39 ),
inference(resolution,[],[f7731,f5188]) ).
fof(f5188,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK409(X0,X1)))))
| ~ sP403(X1,X0) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f7731,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_39 ),
inference(avatar_component_clause,[],[f7729]) ).
fof(f16855,plain,
( spl734_600
| ~ spl734_39 ),
inference(avatar_split_clause,[],[f16848,f7729,f16852]) ).
fof(f16852,plain,
( spl734_600
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK404(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_600])]) ).
fof(f16848,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK404(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_39 ),
inference(resolution,[],[f7731,f5189]) ).
fof(f5189,plain,
! [X0,X1] :
( ~ sP403(X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK404(X0,X1))))) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16846,plain,
( spl734_543
| ~ spl734_544
| spl734_590
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16274,f8666,f16792,f16565,f16562]) ).
fof(f16562,plain,
( spl734_543
<=> ! [X53] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X53)))),s(real,X53)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_543])]) ).
fof(f16565,plain,
( spl734_544
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_544])]) ).
fof(f16792,plain,
( spl734_590
<=> ! [X61] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X61))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X61))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_590])]) ).
fof(f8666,plain,
( spl734_159
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_159])]) ).
fof(f16274,plain,
( ! [X65,X64] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X65))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X64)))),s(real,X64)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4888]) ).
fof(f4888,plain,
! [X2,X0,X1,X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(X0,X2)))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X7))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,sK297(X0))))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f3645,plain,
! [X0] :
( ! [X2] :
? [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) )
| ! [X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) )
| ? [X4] :
( ! [X7] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X7))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X4)))) )
& ! [X5] :
( ? [X6] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X6))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X6))),s(real,X5)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X5)))) ) ) ),
inference(flattening,[],[f3644]) ).
fof(f3644,plain,
! [X0] :
( ? [X4] :
( ! [X7] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X7))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X4)))) )
& ! [X5] :
( ? [X6] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X6))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X6))),s(real,X5)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X5)))) ) )
| ! [X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) )
| ! [X2] :
? [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) ) ),
inference(ennf_transformation,[],[f3135]) ).
fof(f3135,plain,
! [X0] :
( ( ? [X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) )
& ? [X2] :
! [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) ) )
=> ? [X4] :
( ! [X5] :
( ! [X6] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X6))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X6))),s(real,X5)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X5)))) )
& ! [X7] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X7))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X4)))) ) ) ),
inference(rectify,[],[f995]) ).
fof(f995,axiom,
! [X6] :
( ( ? [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
& ? [X84] :
! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X84)))) ) )
=> ? [X84] :
( ! [X252] :
( ! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X252)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X84))),s(real,X252)))) )
& ! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X84)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_COMPLETEu_SOMEPOS) ).
fof(f8668,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(avatar_component_clause,[],[f8666]) ).
fof(f16845,plain,
( ~ spl734_537
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16253,f8666,f16534]) ).
fof(f16534,plain,
( spl734_537
<=> sQ733_eqProxy(s(real,sK215(real,real,realu_lt)),s(real,sK214(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_537])]) ).
fof(f16253,plain,
( ~ sQ733_eqProxy(s(real,sK215(real,real,realu_lt)),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6113]) ).
fof(f16844,plain,
( spl734_599
| spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16319,f8666,f16618,f16841]) ).
fof(f16841,plain,
( spl734_599
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_599])]) ).
fof(f16618,plain,
( spl734_556
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_556])]) ).
fof(f16319,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5186]) ).
fof(f5186,plain,
! [X0,X1,X5] :
( sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK406(X0,X1))))) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16839,plain,
( spl734_598
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16226,f8666,f16836]) ).
fof(f16836,plain,
( spl734_598
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK41(sK215(real,real,realu_lt),sK214(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_598])]) ).
fof(f16226,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK41(sK215(real,real,realu_lt),sK214(real,real,realu_lt))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4293]) ).
fof(f4293,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,sK41(X0,X1))))) ),
inference(cnf_transformation,[],[f3092]) ).
fof(f3092,plain,
! [X0,X1] :
( ? [X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1)))) )
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f2682]) ).
fof(f2682,axiom,
! [X15,X19] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X15))),s(real,X19))))
<=> ? [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X19))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X15))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_BETWEEN) ).
fof(f16834,plain,
( ~ spl734_567
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16248,f8666,f16668]) ).
fof(f16668,plain,
( spl734_567
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_567])]) ).
fof(f16248,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5425]) ).
fof(f5425,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3930]) ).
fof(f3930,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(ennf_transformation,[],[f3099]) ).
fof(f3099,plain,
! [X1,X0] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1071]) ).
fof(f1071,axiom,
! [X0,X7] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LETu_ANTISYM) ).
fof(f16833,plain,
( ~ spl734_597
| spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16366,f8666,f16618,f16830]) ).
fof(f16830,plain,
( spl734_597
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_597])]) ).
fof(f16366,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6457]) ).
fof(f6457,plain,
! [X0,X1,X4] :
( ~ sQ733_eqProxy(s(X1,sK407(X0,X1)),s(X1,sK408(X0,X1)))
| sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) ),
inference(equality_proxy_replacement,[],[f5182,f5956]) ).
fof(f5182,plain,
! [X0,X1,X4] :
( s(X1,sK407(X0,X1)) != s(X1,sK408(X0,X1))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| sP403(X1,X0) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16828,plain,
( spl734_552
| spl734_553
| spl734_546
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16271,f8666,f16573,f16605,f16601]) ).
fof(f16601,plain,
( spl734_552
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_552])]) ).
fof(f16605,plain,
( spl734_553
<=> ! [X62] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_553])]) ).
fof(f16573,plain,
( spl734_546
<=> ! [X56] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X56))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_546])]) ).
fof(f16271,plain,
( ! [X58,X59] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X59)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X58))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X58)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4887]) ).
fof(f4887,plain,
! [X2,X0,X1,X7] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK298(X0,X2)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,sK297(X0)))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X7)))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f16827,plain,
( ~ spl734_567
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16227,f8666,f16668]) ).
fof(f16227,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4323]) ).
fof(f4323,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3108]) ).
fof(f3108,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f982]) ).
fof(f982,axiom,
! [X7,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0))))
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arealu_lt) ).
fof(f16826,plain,
( spl734_596
| spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16318,f8666,f16618,f16823]) ).
fof(f16823,plain,
( spl734_596
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_596])]) ).
fof(f16318,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5185]) ).
fof(f5185,plain,
! [X0,X1,X5] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK405(X0,X1)))))
| sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5)))) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16821,plain,
( spl734_593
| spl734_558
| spl734_592
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16266,f8666,f16802,f16627,f16806]) ).
fof(f16806,plain,
( spl734_593
<=> ! [X44] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_593])]) ).
fof(f16627,plain,
( spl734_558
<=> ! [X37] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X37)))),s(real,X37)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_558])]) ).
fof(f16802,plain,
( spl734_592
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_592])]) ).
fof(f16266,plain,
( ! [X48,X49] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X49)))),s(real,X49))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X48)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4427]) ).
fof(f4427,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(X0,X2)))),s(real,X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,sK120(X0))))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f3630,plain,
! [X0] :
( ! [X2] :
? [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) )
| ! [X1] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ? [X4] :
( ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,X4)))) )
& ! [X6] :
( ? [X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X6))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X7)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X6)))) ) ) ),
inference(flattening,[],[f3629]) ).
fof(f3629,plain,
! [X0] :
( ? [X4] :
( ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,X4)))) )
& ! [X6] :
( ? [X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X6))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X7)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X6)))) ) )
| ! [X1] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ! [X2] :
? [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) ) ),
inference(ennf_transformation,[],[f3132]) ).
fof(f3132,plain,
! [X0] :
( ( ? [X1] : p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
& ? [X2] :
! [X3] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X2)))) ) )
=> ? [X4] :
( ! [X5] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X5))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,X4)))) )
& ! [X6] :
( ! [X7] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X7))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X6)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,X6)))) ) ) ),
inference(rectify,[],[f998]) ).
fof(f998,axiom,
! [X6] :
( ( ? [X0] : p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
& ? [X84] :
! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X84)))) ) )
=> ? [X84] :
( ! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X84)))) )
& ! [X252] :
( ! [X0] :
( p(s(bool,i(s(fun(real,bool),X6),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X252)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X84))),s(real,X252)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_COMPLETE) ).
fof(f16820,plain,
( spl734_595
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16333,f8666,f16817]) ).
fof(f16817,plain,
( spl734_595
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK523(sK214(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_595])]) ).
fof(f16333,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK523(sK214(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5452]) ).
fof(f5452,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,X0))))
| p(s(bool,i(s(fun(X1,bool),X2),s(X1,sK523(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3047]) ).
fof(f3047,plain,
! [X1,X0,X2] :
( ? [X3] :
( s(X1,X0) = s(X1,X3)
& p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3)))) )
<=> p(s(bool,i(s(fun(X1,bool),X2),s(X1,X0)))) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X15,X3,X6] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X15))))
<=> ? [X0] :
( s(X3,X0) = s(X3,X15)
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNWINDu_THM2) ).
fof(f16815,plain,
( spl734_556
| spl734_594
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16316,f8666,f16812,f16618]) ).
fof(f16812,plain,
( spl734_594
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_594])]) ).
fof(f16316,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5181]) ).
fof(f16810,plain,
( spl734_550
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16231,f8666,f16592]) ).
fof(f16592,plain,
( spl734_550
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_550])]) ).
fof(f16231,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4553]) ).
fof(f4553,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3095]) ).
fof(f16809,plain,
( ~ spl734_556
| spl734_536
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16365,f8666,f16530,f16618]) ).
fof(f16530,plain,
( spl734_536
<=> ! [X74] :
( sQ733_eqProxy(s(real,X74),s(real,sK214(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X74)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_536])]) ).
fof(f16365,plain,
( ! [X169] :
( sQ733_eqProxy(s(real,X169),s(real,sK214(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X169))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6456]) ).
fof(f6456,plain,
! [X0,X1,X6,X7] :
( sQ733_eqProxy(s(X1,X6),s(X1,X7))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X7))))
| ~ sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6)))) ),
inference(equality_proxy_replacement,[],[f5184,f5956]) ).
fof(f5184,plain,
! [X0,X1,X6,X7] :
( ~ sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X7))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| s(X1,X6) = s(X1,X7) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16808,plain,
( spl734_574
| spl734_592
| spl734_593
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16264,f8666,f16806,f16802,f16704]) ).
fof(f16704,plain,
( spl734_574
<=> ! [X43] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X43))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_574])]) ).
fof(f16264,plain,
( ! [X44,X45] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X44))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X45))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4426]) ).
fof(f4426,plain,
! [X2,X0,X1,X5] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,sK120(X0)))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK121(X0,X2))))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f16800,plain,
( spl734_551
| spl734_105
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16283,f8666,f8381,f16597]) ).
fof(f16597,plain,
( spl734_551
<=> ! [X75] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X75))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X75)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_551])]) ).
fof(f8381,plain,
( spl734_105
<=> ! [X71] : ~ sP93(sK91(realu_lt,real,real,X71),sK92(realu_lt,real,real,X71),X71,real,real,realu_lt) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_105])]) ).
fof(f16283,plain,
( ! [X70,X71] :
( ~ sP93(sK91(realu_lt,real,real,X71),sK92(realu_lt,real,real,X71),X71,real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X70))))
| sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X70)) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6077]) ).
fof(f6077,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( sQ733_eqProxy(s(X2,X5),s(X2,X4))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| ~ sP93(sK91(X0,X1,X2,X7),sK92(X0,X1,X2,X7),X7,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) ),
inference(equality_proxy_replacement,[],[f4387,f5956]) ).
fof(f4387,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| s(X2,X5) = s(X2,X4)
| ~ sP93(sK91(X0,X1,X2,X7),sK92(X0,X1,X2,X7),X7,X2,X1,X0) ),
inference(cnf_transformation,[],[f4051]) ).
fof(f4051,plain,
! [X1,X0,X2] :
( ? [X7] :
! [X9,X8] :
( s(X2,i(s(fun(X1,X2),X7),s(X1,X9))) = s(X2,X8)
<=> p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,X8)))) )
<=> ! [X3] :
( ! [X4,X5] :
( s(X2,X5) = s(X2,X4)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) )
& ? [X6] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6)))) ) ),
inference(flattening,[],[f4050]) ).
fof(f4050,plain,
! [X0,X2,X1] :
( ? [X7] :
! [X9,X8] :
( s(X2,i(s(fun(X1,X2),X7),s(X1,X9))) = s(X2,X8)
<=> p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,X8)))) )
<=> ! [X3] :
( ! [X4,X5] :
( s(X2,X5) = s(X2,X4)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) )
& ? [X6] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6)))) ) ),
inference(ennf_transformation,[],[f3066]) ).
fof(f3066,plain,
! [X0,X2,X1] :
( ? [X7] :
! [X9,X8] :
( s(X2,i(s(fun(X1,X2),X7),s(X1,X9))) = s(X2,X8)
<=> p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,X8)))) )
<=> ! [X3] :
( ! [X4,X5] :
( ( p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) )
=> s(X2,X5) = s(X2,X4) )
& ? [X6] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6)))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,axiom,
! [X6,X3,X9] :
( ! [X0] :
( ! [X1,X7] :
( ( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X1))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) )
=> s(X9,X7) = s(X9,X1) )
& ? [X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) )
<=> ? [X10] :
! [X7,X0] :
( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
<=> s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIQUEu_SKOLEMu_ALT) ).
fof(f16799,plain,
( ~ spl734_561
| spl734_591
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16242,f8666,f16796,f16637]) ).
fof(f16637,plain,
( spl734_561
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_561])]) ).
fof(f16796,plain,
( spl734_591
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,sK215(real,real,realu_lt)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK214(real,real,realu_lt))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_591])]) ).
fof(f16242,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,sK215(real,real,realu_lt)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK214(real,real,realu_lt)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5070]) ).
fof(f5070,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1)))))) ),
inference(cnf_transformation,[],[f3818]) ).
fof(f3818,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(flattening,[],[f3817]) ).
fof(f3817,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2984]) ).
fof(f2984,plain,
! [X1,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1)))))) ),
inference(rectify,[],[f2829]) ).
fof(f2829,axiom,
! [X0,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X7)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_MONOu_LT) ).
fof(f16794,plain,
( ~ spl734_544
| spl734_546
| spl734_590
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16272,f8666,f16792,f16573,f16565]) ).
fof(f16272,plain,
( ! [X60,X61] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X61))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X61))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X60)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4887]) ).
fof(f16790,plain,
( ~ spl734_549
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16229,f8666,f16587]) ).
fof(f16587,plain,
( spl734_549
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_549])]) ).
fof(f16229,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4428]) ).
fof(f4428,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3732]) ).
fof(f3732,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3094]) ).
fof(f3094,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1068]) ).
fof(f1068,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_GT) ).
fof(f16789,plain,
( spl734_551
| spl734_554
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16354,f8666,f16609,f16597]) ).
fof(f16609,plain,
( spl734_554
<=> ! [X146] : ~ sP344(X146,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_554])]) ).
fof(f16354,plain,
( ! [X148,X147] :
( ~ sP344(X148,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X147))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X147)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6355]) ).
fof(f6355,plain,
! [X2,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| ~ sP344(X2,X1,X0)
| sQ733_eqProxy(s(X0,X5),s(X0,X4)) ),
inference(equality_proxy_replacement,[],[f5006,f5956]) ).
fof(f5006,plain,
! [X2,X0,X1,X4,X5] :
( s(X0,X5) = s(X0,X4)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| ~ sP344(X2,X1,X0) ),
inference(cnf_transformation,[],[f3825]) ).
fof(f3825,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( s(X0,X3) = s(X0,X2)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
<=> ( ! [X5,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| s(X0,X5) = s(X0,X4) )
& ? [X6] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6)))) ) ),
inference(flattening,[],[f3824]) ).
fof(f3824,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( s(X0,X3) = s(X0,X2)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
<=> ( ? [X6] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
& ! [X5,X4] :
( s(X0,X5) = s(X0,X4)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ) ) ),
inference(ennf_transformation,[],[f3023]) ).
fof(f3023,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( s(X0,X3) = s(X0,X2)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
<=> ( ? [X6] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
& ! [X5,X4] :
( ( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) )
=> s(X0,X5) = s(X0,X4) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X3,X6] :
( ? [X0] :
! [X7] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X7))))
<=> s(X3,X0) = s(X3,X7) )
<=> ( ! [X1,X0] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1)))) )
=> s(X3,X0) = s(X3,X1) )
& ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUEu_ALT) ).
fof(f16788,plain,
( spl734_589
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16327,f8666,f16785]) ).
fof(f16785,plain,
( spl734_589
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_589])]) ).
fof(f16327,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5298]) ).
fof(f5298,plain,
! [X3,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK457(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(cnf_transformation,[],[f4053]) ).
fof(f4053,plain,
! [X0,X1] :
( ! [X2] : ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
<=> ! [X3] : ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(ennf_transformation,[],[f3029]) ).
fof(f3029,plain,
! [X1,X0] :
( ~ ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
<=> ! [X3] : ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X3,X6] :
( ~ ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ! [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_EXISTSu_THM) ).
fof(f16783,plain,
( spl734_574
| spl734_559
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16262,f8666,f16630,f16704]) ).
fof(f16630,plain,
( spl734_559
<=> ! [X36] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X36))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X36)))),s(real,X36)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_559])]) ).
fof(f16262,plain,
( ! [X40,X41] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X41)))),s(real,X41))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X40)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X41)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4425]) ).
fof(f4425,plain,
! [X2,X0,X1,X6] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK121(X0,X2)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(X0,X6)))),s(real,X6))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(X0)))),s(real,X6)))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f16782,plain,
( ~ spl734_588
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16252,f8666,f16779]) ).
fof(f16779,plain,
( spl734_588
<=> sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,sK215(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_588])]) ).
fof(f16252,plain,
( ~ sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,sK215(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6112]) ).
fof(f16777,plain,
( spl734_585
| spl734_558
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16259,f8666,f16627,f16763]) ).
fof(f16763,plain,
( spl734_585
<=> ! [X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X39))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X39))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_585])]) ).
fof(f16259,plain,
( ! [X34,X35] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X35)))),s(real,X35))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X34))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X34))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4422]) ).
fof(f4422,plain,
! [X2,X0,X1,X6] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,sK122(X0,X6)))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(X0)))),s(real,X6))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(X0,X2)))),s(real,X2)))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f16776,plain,
( spl734_551
| ~ spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16364,f8666,f16618,f16597]) ).
fof(f16364,plain,
( ! [X168] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X168))))
| sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X168)) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6456]) ).
fof(f16775,plain,
( spl734_546
| ~ spl734_544
| spl734_578
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16269,f8666,f16726,f16565,f16573]) ).
fof(f16726,plain,
( spl734_578
<=> ! [X50] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X50)))),s(real,X50)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_578])]) ).
fof(f16269,plain,
( ! [X54,X55] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X54)))),s(real,X54))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X55)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X54)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4885]) ).
fof(f4885,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(X0,X5)))),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK298(X0,X2)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(X0)))),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f16774,plain,
( ~ spl734_586
| spl734_587
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16217,f8666,f16771,f16767]) ).
fof(f16767,plain,
( spl734_586
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,sK214(real,real,realu_lt)))))),s(real,sK215(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_586])]) ).
fof(f16771,plain,
( spl734_587
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK215(real,real,realu_lt)))))),s(real,sK214(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_587])]) ).
fof(f16217,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK215(real,real,realu_lt)))))),s(real,sK214(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,sK214(real,real,realu_lt)))))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4168]) ).
fof(f4168,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,X1))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3378]) ).
fof(f3378,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X1))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,X1))))),s(real,X0)))) ) ),
inference(rectify,[],[f1153]) ).
fof(f1153,axiom,
! [X0,X87] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X87))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,X87))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X87)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_BOUNDSu_LT) ).
fof(f16765,plain,
( spl734_585
| spl734_574
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16261,f8666,f16704,f16763]) ).
fof(f16261,plain,
( ! [X38,X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X38)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X39))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X39))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4424]) ).
fof(f4424,plain,
! [X2,X0,X1,X6] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,sK121(X0,X2)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(X0)))),s(real,X6))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK122(X0,X6))))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f16761,plain,
( spl734_584
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16290,f8666,f16758]) ).
fof(f16758,plain,
( spl734_584
<=> sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_584])]) ).
fof(f16290,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4343]) ).
fof(f4343,plain,
! [X3,X0,X5] :
( sP62(X3,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X3),s(X0,X5)))) ),
inference(cnf_transformation,[],[f3043]) ).
fof(f16756,plain,
( ~ spl734_583
| spl734_535
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16285,f8666,f16526,f16753]) ).
fof(f16753,plain,
( spl734_583
<=> sQ733_eqProxy(s(real,sK682(realu_lt,real,real,sK215(real,real,realu_lt))),s(real,sK681(realu_lt,real,real,sK215(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_583])]) ).
fof(f16526,plain,
( spl734_535
<=> sP675(sK215(real,real,realu_lt),real,real,realu_lt) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_535])]) ).
fof(f16285,plain,
( sP675(sK215(real,real,realu_lt),real,real,realu_lt)
| ~ sQ733_eqProxy(s(real,sK682(realu_lt,real,real,sK215(real,real,realu_lt))),s(real,sK681(realu_lt,real,real,sK215(real,real,realu_lt))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6805]) ).
fof(f6805,plain,
! [X2,X10,X0,X1,X9] :
( sP675(X9,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10))))
| ~ sQ733_eqProxy(s(X1,sK682(X0,X1,X2,X9)),s(X1,sK681(X0,X1,X2,X9))) ),
inference(equality_proxy_replacement,[],[f5792,f5956]) ).
fof(f5792,plain,
! [X2,X10,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10))))
| s(X1,sK682(X0,X1,X2,X9)) != s(X1,sK681(X0,X1,X2,X9))
| sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f16751,plain,
( spl734_582
| ~ spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16349,f8666,f16552,f16748]) ).
fof(f16748,plain,
( spl734_582
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK214(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_582])]) ).
fof(f16552,plain,
( spl734_541
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_541])]) ).
fof(f16349,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6090]) ).
fof(f16746,plain,
( spl734_581
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16325,f8666,f16743]) ).
fof(f16743,plain,
( spl734_581
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK442(real,sK214(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_581])]) ).
fof(f16325,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK442(real,sK214(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5266]) ).
fof(f5266,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,sK442(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(cnf_transformation,[],[f3056]) ).
fof(f3056,plain,
! [X2,X0,X1] :
( ? [X3] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3))))
& s(X0,X3) = s(X0,X1) )
<=> p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X3,X15,X6] :
( ? [X0] :
( s(X3,X0) = s(X3,X15)
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> p(s(bool,i(s(fun(X3,bool),X6),s(X3,X15)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNWINDu_THM1) ).
fof(f16741,plain,
( ~ spl734_541
| spl734_536
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16346,f8666,f16530,f16552]) ).
fof(f16346,plain,
( ! [X131] :
( sQ733_eqProxy(s(real,X131),s(real,sK214(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X131))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6088]) ).
fof(f6088,plain,
! [X0,X1,X6,X5] :
( sQ733_eqProxy(s(X1,X5),s(X1,X6))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| ~ sP105(X1,X0) ),
inference(equality_proxy_replacement,[],[f4416,f5956]) ).
fof(f4416,plain,
! [X0,X1,X6,X5] :
( ~ sP105(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X6))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X5))))
| s(X1,X5) = s(X1,X6) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f16740,plain,
( spl734_536
| spl734_105
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16284,f8666,f8381,f16530]) ).
fof(f16284,plain,
( ! [X72,X73] :
( ~ sP93(sK91(realu_lt,real,real,X73),sK92(realu_lt,real,real,X73),X73,real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X72))))
| sQ733_eqProxy(s(real,X72),s(real,sK214(real,real,realu_lt))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6077]) ).
fof(f16739,plain,
( spl734_536
| ~ spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16367,f8666,f16618,f16530]) ).
fof(f16367,plain,
( ! [X170] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X170))))
| sQ733_eqProxy(s(real,X170),s(real,sK214(real,real,realu_lt))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6458]) ).
fof(f6458,plain,
! [X2,X3,X0,X1] :
( sQ733_eqProxy(s(X1,X3),s(X1,X2))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| ~ sP403(X1,X0) ),
inference(equality_proxy_replacement,[],[f5180,f5956]) ).
fof(f5180,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
| s(X1,X3) = s(X1,X2)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| ~ sP403(X1,X0) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16738,plain,
( spl734_580
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16225,f8666,f16735]) ).
fof(f16735,plain,
( spl734_580
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(sK215(real,real,realu_lt),sK214(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_580])]) ).
fof(f16225,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(sK215(real,real,realu_lt),sK214(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4292]) ).
fof(f4292,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(X0,X1)))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3092]) ).
fof(f16733,plain,
( ~ spl734_579
| spl734_556
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16363,f8666,f16618,f16730]) ).
fof(f16730,plain,
( spl734_579
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_579])]) ).
fof(f16363,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6455]) ).
fof(f16728,plain,
( spl734_578
| ~ spl734_544
| spl734_543
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16267,f8666,f16562,f16565,f16726]) ).
fof(f16267,plain,
( ! [X50,X51] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X51)))),s(real,X51))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X50)))),s(real,X50)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4883]) ).
fof(f4883,plain,
! [X2,X0,X1,X5] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(X0)))),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(X0,X2)))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(X0,X5)))),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f16724,plain,
( spl734_550
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16246,f8666,f16592]) ).
fof(f16246,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5345]) ).
fof(f5345,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f4114]) ).
fof(f4114,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3097]) ).
fof(f3097,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1020]) ).
fof(f1020,axiom,
! [X0,X7] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_IMPu_LE) ).
fof(f16723,plain,
( spl734_551
| ~ spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16347,f8666,f16552,f16597]) ).
fof(f16347,plain,
( ! [X132] :
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X132))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X132)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6088]) ).
fof(f16722,plain,
( ~ spl734_549
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16235,f8666,f16587]) ).
fof(f16235,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4628]) ).
fof(f4628,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3717]) ).
fof(f3717,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3100]) ).
fof(f3100,plain,
! [X0,X1] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1067]) ).
fof(f1067,axiom,
! [X7,X0] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_ANTISYM) ).
fof(f16721,plain,
( ~ spl734_567
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16243,f8666,f16668]) ).
fof(f16243,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5119]) ).
fof(f5119,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3089]) ).
fof(f3089,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1030]) ).
fof(f1030,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0))))
<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_NOTu_LT) ).
fof(f16720,plain,
( ~ spl734_576
| spl734_577
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16241,f8666,f16717,f16713]) ).
fof(f16713,plain,
( spl734_576
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_576])]) ).
fof(f16717,plain,
( spl734_577
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,sK214(real,real,realu_lt)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK215(real,real,realu_lt))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_577])]) ).
fof(f16241,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,sK214(real,real,realu_lt)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK215(real,real,realu_lt)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4854]) ).
fof(f4854,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
inference(cnf_transformation,[],[f3698]) ).
fof(f3698,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
inference(flattening,[],[f3697]) ).
fof(f3697,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3368]) ).
fof(f3368,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
inference(rectify,[],[f1248]) ).
fof(f1248,axiom,
! [X0,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,X7))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_INV2) ).
fof(f16711,plain,
( ~ spl734_575
| spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16345,f8666,f16552,f16708]) ).
fof(f16708,plain,
( spl734_575
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_575])]) ).
fof(f16345,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6087]) ).
fof(f16706,plain,
( spl734_574
| spl734_573
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16263,f8666,f16700,f16704]) ).
fof(f16700,plain,
( spl734_573
<=> ! [X46] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X46))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X46)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_573])]) ).
fof(f16263,plain,
( ! [X42,X43] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X42))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X42))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X43))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4426]) ).
fof(f16702,plain,
( spl734_558
| spl734_573
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16265,f8666,f16700,f16627]) ).
fof(f16265,plain,
( ! [X46,X47] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X46))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X46))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X47)))),s(real,X47)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4427]) ).
fof(f16698,plain,
( spl734_541
| spl734_572
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16292,f8666,f16695,f16552]) ).
fof(f16695,plain,
( spl734_572
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real,sK214(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_572])]) ).
fof(f16292,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real,sK214(real,real,realu_lt))))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4414]) ).
fof(f4414,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK110(X0,X1,X2)))))
| sP105(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f16693,plain,
( ~ spl734_561
| spl734_571
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16257,f8666,f16691,f16637]) ).
fof(f16691,plain,
( spl734_571
<=> ! [X33] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X33))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK215(real,real,realu_lt)))),s(num,X33))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK214(real,real,realu_lt)))),s(num,X33)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_571])]) ).
fof(f16257,plain,
( ! [X33] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X33))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK215(real,real,realu_lt)))),s(num,X33))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK214(real,real,realu_lt)))),s(num,X33)))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6571]) ).
fof(f6571,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X2)) ),
inference(equality_proxy_replacement,[],[f5401,f5956]) ).
fof(f5401,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))))) ),
inference(cnf_transformation,[],[f3675]) ).
fof(f3675,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(flattening,[],[f3674]) ).
fof(f3674,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X2)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3222]) ).
fof(f3222,plain,
! [X2,X1,X0] :
( ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X2)
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))))) ),
inference(rectify,[],[f1266]) ).
fof(f1266,axiom,
! [X7,X0,X83] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& s(num,X83) != s(num,i(s(fun(num,num),numeral),s(num,u_0))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,X83)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_LT2) ).
fof(f16689,plain,
( ~ spl734_556
| spl734_551
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16368,f8666,f16597,f16618]) ).
fof(f16368,plain,
( ! [X171] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X171))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X171))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6458]) ).
fof(f16687,plain,
( spl734_570
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16306,f8666,f16684]) ).
fof(f16684,plain,
( spl734_570
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_570])]) ).
fof(f16306,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4827]) ).
fof(f4827,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK272(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(cnf_transformation,[],[f3956]) ).
fof(f3956,plain,
! [X0,X1] :
( ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ! [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(ennf_transformation,[],[f3083]) ).
fof(f3083,plain,
! [X1,X0] :
( ~ ? [X2] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
<=> ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X6,X3] :
( ~ ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ! [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_NOTu_THM) ).
fof(f16682,plain,
( spl734_535
| spl734_569
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16279,f8666,f16679,f16526]) ).
fof(f16679,plain,
( spl734_569
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK681(realu_lt,real,real,sK215(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_569])]) ).
fof(f16279,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK681(realu_lt,real,real,sK215(real,real,realu_lt))))))
| sP675(sK215(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5793]) ).
fof(f5793,plain,
! [X2,X10,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10))))
| p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,sK681(X0,X1,X2,X9)))))
| sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f16677,plain,
( ~ spl734_549
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16230,f8666,f16587]) ).
fof(f16230,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4428]) ).
fof(f16676,plain,
( ~ spl734_567
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16228,f8666,f16668]) ).
fof(f16228,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4401]) ).
fof(f4401,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3685]) ).
fof(f3685,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(ennf_transformation,[],[f3107]) ).
fof(f3107,plain,
! [X0,X1] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1025]) ).
fof(f1025,axiom,
! [X7,X0] :
~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTEu_ANTISYM) ).
fof(f16675,plain,
( spl734_568
| ~ spl734_561
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16220,f8666,f16637,f16673]) ).
fof(f16673,plain,
( spl734_568
<=> ! [X2,X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X3))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,sK215(real,real,realu_lt)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,sK214(real,real,realu_lt))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_568])]) ).
fof(f16220,plain,
( ! [X2,X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,sK215(real,real,realu_lt)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,sK214(real,real,realu_lt)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X3)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4254]) ).
fof(f4254,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X3))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X3))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3877]) ).
fof(f3877,plain,
! [X1,X2,X3,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X3))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X3))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(flattening,[],[f3876]) ).
fof(f3876,plain,
! [X3,X1,X2,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X3))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X3))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X0)))) ),
inference(ennf_transformation,[],[f3251]) ).
fof(f3251,plain,
! [X3,X1,X2,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X3))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X3)))))) ),
inference(rectify,[],[f1244]) ).
fof(f1244,axiom,
! [X0,X7,X54,X8] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X54))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X8))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X54)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X54))),s(real,X7))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X8)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_MUL2) ).
fof(f16671,plain,
( ~ spl734_567
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16245,f8666,f16668]) ).
fof(f16245,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5341]) ).
fof(f5341,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3088]) ).
fof(f3088,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1070]) ).
fof(f1070,axiom,
! [X0,X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_NOTu_LE) ).
fof(f16666,plain,
( spl734_566
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16305,f8666,f16663]) ).
fof(f16663,plain,
( spl734_566
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_566])]) ).
fof(f16305,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4826]) ).
fof(f4826,plain,
! [X3,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK273(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(cnf_transformation,[],[f3956]) ).
fof(f16661,plain,
( spl734_565
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16326,f8666,f16658]) ).
fof(f16658,plain,
( spl734_565
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_565])]) ).
fof(f16326,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5297]) ).
fof(f5297,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK458(X0,X1))))) ),
inference(cnf_transformation,[],[f4053]) ).
fof(f16656,plain,
( ~ spl734_537
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16251,f8666,f16534]) ).
fof(f16251,plain,
( ~ sQ733_eqProxy(s(real,sK215(real,real,realu_lt)),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6005]) ).
fof(f16655,plain,
( spl734_564
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16371,f8666,f16652]) ).
fof(f16652,plain,
( spl734_564
<=> sQ733_eqProxy(s(real,sK523(sK214(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_564])]) ).
fof(f16371,plain,
( sQ733_eqProxy(s(real,sK523(sK214(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6601]) ).
fof(f6601,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,X0))))
| sQ733_eqProxy(s(X1,sK523(X0,X1,X2)),s(X1,X0)) ),
inference(equality_proxy_replacement,[],[f5453,f5956]) ).
fof(f5453,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,X0))))
| s(X1,sK523(X0,X1,X2)) = s(X1,X0) ),
inference(cnf_transformation,[],[f3047]) ).
fof(f16650,plain,
( ~ spl734_563
| spl734_538
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16355,f8666,f16539,f16647]) ).
fof(f16647,plain,
( spl734_563
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_563])]) ).
fof(f16539,plain,
( spl734_538
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_538])]) ).
fof(f16355,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6356]) ).
fof(f6356,plain,
! [X0,X1,X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| sP344(sK343(X0,X1),X1,X0)
| ~ sQ733_eqProxy(s(X0,sK346(X0,X1)),s(X0,sK347(X0,X1))) ),
inference(equality_proxy_replacement,[],[f5003,f5956]) ).
fof(f5003,plain,
! [X0,X1,X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| s(X0,sK346(X0,X1)) != s(X0,sK347(X0,X1))
| sP344(sK343(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f3825]) ).
fof(f16645,plain,
( spl734_562
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16369,f8666,f16642]) ).
fof(f16642,plain,
( spl734_562
<=> sQ733_eqProxy(s(real,sK442(real,sK214(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_562])]) ).
fof(f16369,plain,
( sQ733_eqProxy(s(real,sK442(real,sK214(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6483]) ).
fof(f6483,plain,
! [X2,X0,X1] :
( sQ733_eqProxy(s(X0,sK442(X0,X1,X2)),s(X0,X1))
| ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ),
inference(equality_proxy_replacement,[],[f5265,f5956]) ).
fof(f5265,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))
| s(X0,sK442(X0,X1,X2)) = s(X0,X1) ),
inference(cnf_transformation,[],[f3056]) ).
fof(f16640,plain,
( spl734_560
| ~ spl734_561
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16221,f8666,f16637,f16634]) ).
fof(f16634,plain,
( spl734_560
<=> ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,X5))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK215(real,real,realu_lt)))),s(real,X4))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK214(real,real,realu_lt)))),s(real,X5)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_560])]) ).
fof(f16221,plain,
( ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK215(real,real,realu_lt)))),s(real,X4))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK214(real,real,realu_lt)))),s(real,X5))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4254]) ).
fof(f16632,plain,
( spl734_558
| spl734_559
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16260,f8666,f16630,f16627]) ).
fof(f16260,plain,
( ! [X36,X37] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X36))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X37)))),s(real,X37))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X36)))),s(real,X36)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4423]) ).
fof(f4423,plain,
! [X2,X0,X1,X6] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(X0,X6)))),s(real,X6))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(X0)))),s(real,X6))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(X0,X2)))),s(real,X2)))) ),
inference(cnf_transformation,[],[f3630]) ).
fof(f16625,plain,
( spl734_556
| spl734_557
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16317,f8666,f16622,f16618]) ).
fof(f16622,plain,
( spl734_557
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_557])]) ).
fof(f16317,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5183]) ).
fof(f5183,plain,
! [X0,X1,X4] :
( sP403(X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK407(X0,X1))))) ),
inference(cnf_transformation,[],[f3711]) ).
fof(f16616,plain,
( spl734_555
| spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16293,f8666,f16552,f16613]) ).
fof(f16613,plain,
( spl734_555
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_555])]) ).
fof(f16293,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4417]) ).
fof(f16611,plain,
( spl734_554
| spl734_536
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16353,f8666,f16530,f16609]) ).
fof(f16353,plain,
( ! [X145,X146] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X145))))
| ~ sP344(X146,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| sQ733_eqProxy(s(real,X145),s(real,sK214(real,real,realu_lt))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6355]) ).
fof(f16607,plain,
( spl734_543
| spl734_552
| spl734_553
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16273,f8666,f16605,f16601,f16562]) ).
fof(f16273,plain,
( ! [X62,X63] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X62))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X63)))),s(real,X63)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4888]) ).
fof(f16599,plain,
( ~ spl734_535
| spl734_551
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16287,f8666,f16597,f16526]) ).
fof(f16287,plain,
( ! [X75] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,X75))
| ~ sP675(sK215(real,real,realu_lt),real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X75)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6806]) ).
fof(f6806,plain,
! [X2,X0,X11,X1,X9,X12] :
( sQ733_eqProxy(s(X1,X12),s(X1,X11))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X12))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X11))))
| ~ sP675(X9,X2,X1,X0) ),
inference(equality_proxy_replacement,[],[f5791,f5956]) ).
fof(f5791,plain,
! [X2,X0,X11,X1,X9,X12] :
( s(X1,X12) = s(X1,X11)
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X12))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X11))))
| ~ sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f16595,plain,
( spl734_550
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16219,f8666,f16592]) ).
fof(f16219,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4224]) ).
fof(f4224,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3091]) ).
fof(f16590,plain,
( ~ spl734_549
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16234,f8666,f16587]) ).
fof(f16234,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_lt)))),s(real,sK215(real,real,realu_lt)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4628]) ).
fof(f16585,plain,
( spl734_538
| spl734_548
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16313,f8666,f16582,f16539]) ).
fof(f16582,plain,
( spl734_548
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_548])]) ).
fof(f16313,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5005]) ).
fof(f5005,plain,
! [X0,X1,X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| sP344(sK343(X0,X1),X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK346(X0,X1))))) ),
inference(cnf_transformation,[],[f3825]) ).
fof(f16580,plain,
( spl734_547
| spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16294,f8666,f16552,f16577]) ).
fof(f16577,plain,
( spl734_547
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_547])]) ).
fof(f16294,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4418]) ).
fof(f4418,plain,
! [X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
| sP105(X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK107(X0,X1))))) ),
inference(cnf_transformation,[],[f4107]) ).
fof(f16575,plain,
( spl734_546
| ~ spl734_544
| spl734_545
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16270,f8666,f16569,f16565,f16573]) ).
fof(f16569,plain,
( spl734_545
<=> ! [X52] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X52))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X52))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_545])]) ).
fof(f16270,plain,
( ! [X56,X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X57)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X57))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X56))))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4886]) ).
fof(f4886,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK298(X0,X2)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(X0)))),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK299(X0,X5))))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f16571,plain,
( spl734_543
| ~ spl734_544
| spl734_545
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16268,f8666,f16569,f16565,f16562]) ).
fof(f16268,plain,
( ! [X52,X53] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))),s(real,X52))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X52)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),X53)))),s(real,X53)))) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f4884]) ).
fof(f4884,plain,
! [X2,X0,X1,X5] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(X0)))),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,sK299(X0,X5)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(X0,X2)))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) ),
inference(cnf_transformation,[],[f3645]) ).
fof(f16560,plain,
( spl734_535
| spl734_542
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16280,f8666,f16557,f16526]) ).
fof(f16557,plain,
( spl734_542
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK682(realu_lt,real,real,sK215(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_542])]) ).
fof(f16280,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK682(realu_lt,real,real,sK215(real,real,realu_lt))))))
| sP675(sK215(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5794]) ).
fof(f5794,plain,
! [X2,X10,X0,X1,X9] :
( p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,sK682(X0,X1,X2,X9)))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X9))),s(X1,X10))))
| sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f16555,plain,
( ~ spl734_540
| spl734_541
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16348,f8666,f16552,f16548]) ).
fof(f16548,plain,
( spl734_540
<=> sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real,sK214(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_540])]) ).
fof(f16348,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))
| ~ sQ733_eqProxy(s(real,sK214(real,real,realu_lt)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real,sK214(real,real,realu_lt))))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6089]) ).
fof(f16546,plain,
( spl734_538
| spl734_539
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16312,f8666,f16543,f16539]) ).
fof(f16543,plain,
( spl734_539
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_539])]) ).
fof(f16312,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt))),real)
| ~ spl734_159 ),
inference(resolution,[],[f8668,f5004]) ).
fof(f5004,plain,
! [X0,X1,X6] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK347(X0,X1)))))
| sP344(sK343(X0,X1),X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6)))) ),
inference(cnf_transformation,[],[f3825]) ).
fof(f16537,plain,
( ~ spl734_537
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16258,f8666,f16534]) ).
fof(f16258,plain,
( ~ sQ733_eqProxy(s(real,sK215(real,real,realu_lt)),s(real,sK214(real,real,realu_lt)))
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6652]) ).
fof(f16532,plain,
( ~ spl734_535
| spl734_536
| ~ spl734_159 ),
inference(avatar_split_clause,[],[f16286,f8666,f16530,f16526]) ).
fof(f16286,plain,
( ! [X74] :
( sQ733_eqProxy(s(real,X74),s(real,sK214(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,X74))))
| ~ sP675(sK215(real,real,realu_lt),real,real,realu_lt) )
| ~ spl734_159 ),
inference(resolution,[],[f8668,f6806]) ).
fof(f16216,plain,
( spl734_534
| ~ spl734_351 ),
inference(avatar_split_clause,[],[f16211,f14685,f16213]) ).
fof(f16213,plain,
( spl734_534
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK680(realu_le,real,real,sK217(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_534])]) ).
fof(f14685,plain,
( spl734_351
<=> sP675(sK217(real,real,realu_le),real,real,realu_le) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_351])]) ).
fof(f16211,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK680(realu_le,real,real,sK217(real,real,realu_le))))))
| ~ spl734_351 ),
inference(resolution,[],[f14687,f5799]) ).
fof(f14687,plain,
( sP675(sK217(real,real,realu_le),real,real,realu_le)
| ~ spl734_351 ),
inference(avatar_component_clause,[],[f14685]) ).
fof(f16209,plain,
( ~ spl734_483
| spl734_470
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15709,f8354,f15891,f15946]) ).
fof(f15946,plain,
( spl734_483
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_483])]) ).
fof(f15891,plain,
( spl734_470
<=> ! [X168] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X168))))
| sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X168)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_470])]) ).
fof(f8354,plain,
( spl734_99
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_99])]) ).
fof(f15709,plain,
( ! [X132] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X132))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X132))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6088]) ).
fof(f8356,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(avatar_component_clause,[],[f8354]) ).
fof(f16208,plain,
( spl734_533
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15695,f8354,f16205]) ).
fof(f16205,plain,
( spl734_533
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK523(sK216(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_533])]) ).
fof(f15695,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK523(sK216(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5452]) ).
fof(f16203,plain,
( ~ spl734_471
| spl734_493
| spl734_502
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15631,f8354,f16028,f15991,f15895]) ).
fof(f15895,plain,
( spl734_471
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_471])]) ).
fof(f15991,plain,
( spl734_493
<=> ! [X56] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X56))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_493])]) ).
fof(f16028,plain,
( spl734_502
<=> ! [X50] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X50)))),s(real,X50))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X50)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_502])]) ).
fof(f15631,plain,
( ! [X54,X55] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X54))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X55)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X54)))),s(real,X54)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4885]) ).
fof(f16202,plain,
( spl734_470
| ~ spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15730,f8354,f15887,f15891]) ).
fof(f15887,plain,
( spl734_469
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_469])]) ).
fof(f15730,plain,
( ! [X171] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X171))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X171)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6458]) ).
fof(f16201,plain,
( spl734_481
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15608,f8354,f15937]) ).
fof(f15937,plain,
( spl734_481
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_481])]) ).
fof(f15608,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5345]) ).
fof(f16200,plain,
( spl734_532
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15668,f8354,f16197]) ).
fof(f16197,plain,
( spl734_532
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_532])]) ).
fof(f15668,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4827]) ).
fof(f16195,plain,
( ~ spl734_474
| spl734_496
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15648,f8354,f16002,f15906]) ).
fof(f16002,plain,
( spl734_496
<=> ! [X170] :
( sQ733_eqProxy(s(real,X170),s(real,sK216(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X170)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_496])]) ).
fof(f15648,plain,
( ! [X74] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X74))))
| sQ733_eqProxy(s(real,X74),s(real,sK216(real,real,realu_lt)))
| ~ sP675(sK217(real,real,realu_lt),real,real,realu_lt) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6806]) ).
fof(f16194,plain,
( spl734_105
| spl734_470
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15645,f8354,f15891,f8381]) ).
fof(f15645,plain,
( ! [X70,X71] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X70))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X70))))
| ~ sP93(sK91(realu_lt,real,real,X71),sK92(realu_lt,real,real,X71),X71,real,real,realu_lt) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6077]) ).
fof(f16193,plain,
( spl734_496
| ~ spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15727,f8354,f15887,f16002]) ).
fof(f15727,plain,
( ! [X169] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| sQ733_eqProxy(s(real,X169),s(real,sK216(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X169)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6456]) ).
fof(f16192,plain,
( spl734_470
| ~ spl734_474
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15649,f8354,f15906,f15891]) ).
fof(f15649,plain,
( ! [X75] :
( ~ sP675(sK217(real,real,realu_lt),real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X75))))
| sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X75)) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6806]) ).
fof(f16191,plain,
( spl734_469
| ~ spl734_531
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15728,f8354,f16188,f15887]) ).
fof(f16188,plain,
( spl734_531
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_531])]) ).
fof(f15728,plain,
( ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6457]) ).
fof(f16186,plain,
( ~ spl734_505
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15607,f8354,f16041]) ).
fof(f16041,plain,
( spl734_505
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_505])]) ).
fof(f15607,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5341]) ).
fof(f16185,plain,
( ~ spl734_530
| spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15725,f8354,f15887,f16182]) ).
fof(f16182,plain,
( spl734_530
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_530])]) ).
fof(f15725,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6455]) ).
fof(f16180,plain,
( spl734_483
| spl734_529
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15654,f8354,f16177,f15946]) ).
fof(f16177,plain,
( spl734_529
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real,sK216(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_529])]) ).
fof(f15654,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real,sK216(real,real,realu_lt))))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4414]) ).
fof(f16175,plain,
( ~ spl734_505
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15590,f8354,f16041]) ).
fof(f15590,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4401]) ).
fof(f16174,plain,
( spl734_499
| spl734_527
| spl734_528
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15628,f8354,f16168,f16165,f16016]) ).
fof(f16016,plain,
( spl734_499
<=> ! [X37] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X37)))),s(real,X37)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_499])]) ).
fof(f16165,plain,
( spl734_527
<=> ! [X44] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_527])]) ).
fof(f16168,plain,
( spl734_528
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_528])]) ).
fof(f15628,plain,
( ! [X48,X49] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X48))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X49)))),s(real,X49)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4427]) ).
fof(f16173,plain,
( ~ spl734_514
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15592,f8354,f16090]) ).
fof(f16090,plain,
( spl734_514
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_514])]) ).
fof(f15592,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4428]) ).
fof(f16171,plain,
( spl734_527
| spl734_528
| spl734_494
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15626,f8354,f15995,f16168,f16165]) ).
fof(f15995,plain,
( spl734_494
<=> ! [X38] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X38))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_494])]) ).
fof(f15626,plain,
( ! [X44,X45] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X45)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X44)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4426]) ).
fof(f16163,plain,
( spl734_515
| spl734_494
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15625,f8354,f15995,f16095]) ).
fof(f16095,plain,
( spl734_515
<=> ! [X46] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X46))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X46)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_515])]) ).
fof(f15625,plain,
( ! [X42,X43] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X43)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X42))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X42))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4426]) ).
fof(f16162,plain,
( spl734_485
| spl734_496
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15715,f8354,f16002,f15956]) ).
fof(f15956,plain,
( spl734_485
<=> ! [X148] : ~ sP344(X148,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_485])]) ).
fof(f15715,plain,
( ! [X145,X146] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X145))))
| ~ sP344(X146,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| sQ733_eqProxy(s(real,X145),s(real,sK216(real,real,realu_lt))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6355]) ).
fof(f16160,plain,
( spl734_483
| ~ spl734_526
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15707,f8354,f16157,f15946]) ).
fof(f16157,plain,
( spl734_526
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_526])]) ).
fof(f15707,plain,
( ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6087]) ).
fof(f16155,plain,
( spl734_525
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15588,f8354,f16152]) ).
fof(f16152,plain,
( spl734_525
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK41(sK217(real,real,realu_lt),sK216(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_525])]) ).
fof(f15588,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK41(sK217(real,real,realu_lt),sK216(real,real,realu_lt))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4293]) ).
fof(f16150,plain,
( spl734_105
| spl734_496
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15646,f8354,f16002,f8381]) ).
fof(f15646,plain,
( ! [X72,X73] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X72))))
| sQ733_eqProxy(s(real,X72),s(real,sK216(real,real,realu_lt)))
| ~ sP93(sK91(realu_lt,real,real,X73),sK92(realu_lt,real,real,X73),X73,real,real,realu_lt) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6077]) ).
fof(f16149,plain,
( spl734_478
| spl734_493
| spl734_477
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15633,f8354,f15920,f15991,f15923]) ).
fof(f15923,plain,
( spl734_478
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_478])]) ).
fof(f15920,plain,
( spl734_477
<=> ! [X62] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_477])]) ).
fof(f15633,plain,
( ! [X58,X59] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X58))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X59)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X58)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4887]) ).
fof(f16148,plain,
( spl734_483
| ~ spl734_524
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15710,f8354,f16145,f15946]) ).
fof(f16145,plain,
( spl734_524
<=> sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real,sK216(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_524])]) ).
fof(f15710,plain,
( ~ sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real,sK216(real,real,realu_lt))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6089]) ).
fof(f16143,plain,
( spl734_523
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15667,f8354,f16140]) ).
fof(f16140,plain,
( spl734_523
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_523])]) ).
fof(f15667,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4826]) ).
fof(f16138,plain,
( ~ spl734_505
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15605,f8354,f16041]) ).
fof(f15605,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5119]) ).
fof(f16137,plain,
( ~ spl734_505
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15610,f8354,f16041]) ).
fof(f15610,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5425]) ).
fof(f16136,plain,
( spl734_492
| ~ spl734_471
| spl734_473
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15630,f8354,f15902,f15895,f15988]) ).
fof(f15988,plain,
( spl734_492
<=> ! [X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X57))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X57))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_492])]) ).
fof(f15902,plain,
( spl734_473
<=> ! [X64] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X64)))),s(real,X64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_473])]) ).
fof(f15630,plain,
( ! [X52,X53] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X53)))),s(real,X53))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X52))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X52))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4884]) ).
fof(f16135,plain,
( ~ spl734_514
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15591,f8354,f16090]) ).
fof(f15591,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4428]) ).
fof(f16134,plain,
( spl734_500
| spl734_494
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15624,f8354,f15995,f16019]) ).
fof(f16019,plain,
( spl734_500
<=> ! [X36] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X36))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X36)))),s(real,X36)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_500])]) ).
fof(f15624,plain,
( ! [X40,X41] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X40)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X41))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X41)))),s(real,X41)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4425]) ).
fof(f16133,plain,
( spl734_469
| spl734_522
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15679,f8354,f16130,f15887]) ).
fof(f16130,plain,
( spl734_522
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_522])]) ).
fof(f15679,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5183]) ).
fof(f16128,plain,
( spl734_521
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15689,f8354,f16125]) ).
fof(f16125,plain,
( spl734_521
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_521])]) ).
fof(f15689,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5298]) ).
fof(f16123,plain,
( spl734_469
| spl734_520
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15681,f8354,f16120,f15887]) ).
fof(f16120,plain,
( spl734_520
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_520])]) ).
fof(f15681,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5186]) ).
fof(f16118,plain,
( spl734_474
| spl734_519
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15642,f8354,f16115,f15906]) ).
fof(f16115,plain,
( spl734_519
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK682(realu_lt,real,real,sK217(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_519])]) ).
fof(f15642,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK682(realu_lt,real,real,sK217(real,real,realu_lt))))))
| sP675(sK217(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5794]) ).
fof(f16113,plain,
( spl734_518
| spl734_480
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15675,f8354,f15932,f16110]) ).
fof(f16110,plain,
( spl734_518
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_518])]) ).
fof(f15932,plain,
( spl734_480
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_480])]) ).
fof(f15675,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5005]) ).
fof(f16108,plain,
( spl734_481
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15581,f8354,f15937]) ).
fof(f15581,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4224]) ).
fof(f16107,plain,
( spl734_516
| ~ spl734_517
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15579,f8354,f16104,f16100]) ).
fof(f16100,plain,
( spl734_516
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK217(real,real,realu_lt)))))),s(real,sK216(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_516])]) ).
fof(f16104,plain,
( spl734_517
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_lt)))))),s(real,sK217(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_517])]) ).
fof(f15579,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_lt)))))),s(real,sK217(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK217(real,real,realu_lt)))))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4168]) ).
fof(f16098,plain,
( ~ spl734_514
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15596,f8354,f16090]) ).
fof(f15596,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4628]) ).
fof(f16097,plain,
( spl734_499
| spl734_515
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15627,f8354,f16095,f16016]) ).
fof(f15627,plain,
( ! [X46,X47] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X46))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X47)))),s(real,X47))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X46)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4427]) ).
fof(f16093,plain,
( ~ spl734_514
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15597,f8354,f16090]) ).
fof(f15597,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4628]) ).
fof(f16088,plain,
( spl734_513
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15687,f8354,f16085]) ).
fof(f16085,plain,
( spl734_513
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK442(real,sK216(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_513])]) ).
fof(f15687,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK442(real,sK216(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5266]) ).
fof(f16082,plain,
( spl734_512
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15731,f8354,f16079]) ).
fof(f16079,plain,
( spl734_512
<=> sQ733_eqProxy(s(real,sK442(real,sK216(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_512])]) ).
fof(f15731,plain,
( sQ733_eqProxy(s(real,sK442(real,sK216(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6483]) ).
fof(f16077,plain,
( spl734_511
| ~ spl734_486
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15604,f8354,f15960,f16074]) ).
fof(f16074,plain,
( spl734_511
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,sK217(real,real,realu_lt)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK216(real,real,realu_lt))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_511])]) ).
fof(f15960,plain,
( spl734_486
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_486])]) ).
fof(f15604,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,sK217(real,real,realu_lt)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK216(real,real,realu_lt)))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5070]) ).
fof(f16072,plain,
( ~ spl734_471
| spl734_493
| spl734_472
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15634,f8354,f15899,f15991,f15895]) ).
fof(f15899,plain,
( spl734_472
<=> ! [X65] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X65))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_472])]) ).
fof(f15634,plain,
( ! [X60,X61] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X61))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X60)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X61)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4887]) ).
fof(f16071,plain,
( spl734_510
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15587,f8354,f16068]) ).
fof(f16068,plain,
( spl734_510
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(sK217(real,real,realu_lt),sK216(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_510])]) ).
fof(f15587,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(sK217(real,real,realu_lt),sK216(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4292]) ).
fof(f16066,plain,
( spl734_474
| spl734_509
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15641,f8354,f16063,f15906]) ).
fof(f16063,plain,
( spl734_509
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK681(realu_lt,real,real,sK217(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_509])]) ).
fof(f15641,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK681(realu_lt,real,real,sK217(real,real,realu_lt))))))
| sP675(sK217(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5793]) ).
fof(f16061,plain,
( spl734_499
| spl734_495
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15621,f8354,f15998,f16016]) ).
fof(f15998,plain,
( spl734_495
<=> ! [X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X39)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X39)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_495])]) ).
fof(f15621,plain,
( ! [X34,X35] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X34))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X34)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X35)))),s(real,X35)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4422]) ).
fof(f16060,plain,
( ~ spl734_503
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15615,f8354,f16032]) ).
fof(f16032,plain,
( spl734_503
<=> sQ733_eqProxy(s(real,sK217(real,real,realu_lt)),s(real,sK216(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_503])]) ).
fof(f15615,plain,
( ~ sQ733_eqProxy(s(real,sK217(real,real,realu_lt)),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6113]) ).
fof(f16059,plain,
( spl734_507
| ~ spl734_508
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15603,f8354,f16056,f16052]) ).
fof(f16052,plain,
( spl734_507
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_lt)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_lt))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_507])]) ).
fof(f16056,plain,
( spl734_508
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_508])]) ).
fof(f15603,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_lt)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_lt)))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4854]) ).
fof(f16050,plain,
( ~ spl734_503
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15620,f8354,f16032]) ).
fof(f15620,plain,
( ~ sQ733_eqProxy(s(real,sK217(real,real,realu_lt)),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6652]) ).
fof(f16049,plain,
( spl734_506
| spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15678,f8354,f15887,f16046]) ).
fof(f16046,plain,
( spl734_506
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_506])]) ).
fof(f15678,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5181]) ).
fof(f16044,plain,
( ~ spl734_505
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15589,f8354,f16041]) ).
fof(f15589,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK217(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4323]) ).
fof(f16039,plain,
( spl734_504
| ~ spl734_486
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15583,f8354,f15960,f16037]) ).
fof(f16037,plain,
( spl734_504
<=> ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK217(real,real,realu_lt)))),s(real,X4))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK216(real,real,realu_lt)))),s(real,X5))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_504])]) ).
fof(f15583,plain,
( ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,X5))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK217(real,real,realu_lt)))),s(real,X4))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK216(real,real,realu_lt)))),s(real,X5)))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4254]) ).
fof(f16035,plain,
( ~ spl734_503
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15613,f8354,f16032]) ).
fof(f15613,plain,
( ~ sQ733_eqProxy(s(real,sK217(real,real,realu_lt)),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6005]) ).
fof(f16030,plain,
( spl734_473
| ~ spl734_471
| spl734_502
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15629,f8354,f16028,f15895,f15902]) ).
fof(f15629,plain,
( ! [X50,X51] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X50)))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X51)))),s(real,X51))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X50)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4883]) ).
fof(f16026,plain,
( spl734_501
| ~ spl734_483
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15711,f8354,f15946,f16023]) ).
fof(f16023,plain,
( spl734_501
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK216(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_501])]) ).
fof(f15711,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6090]) ).
fof(f16021,plain,
( spl734_499
| spl734_500
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15622,f8354,f16019,f16016]) ).
fof(f15622,plain,
( ! [X36,X37] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X36))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X37)))),s(real,X37))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X36)))),s(real,X36)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4423]) ).
fof(f16014,plain,
( spl734_498
| spl734_483
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15655,f8354,f15946,f16011]) ).
fof(f16011,plain,
( spl734_498
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_498])]) ).
fof(f15655,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4417]) ).
fof(f16009,plain,
( ~ spl734_483
| spl734_496
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15708,f8354,f16002,f15946]) ).
fof(f15708,plain,
( ! [X131] :
( sQ733_eqProxy(s(real,X131),s(real,sK216(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X131))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6088]) ).
fof(f16008,plain,
( ~ spl734_486
| spl734_497
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15582,f8354,f16006,f15960]) ).
fof(f16006,plain,
( spl734_497
<=> ! [X2,X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X3))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,sK217(real,real,realu_lt)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,sK216(real,real,realu_lt)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_497])]) ).
fof(f15582,plain,
( ! [X2,X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X3))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,sK217(real,real,realu_lt)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,sK216(real,real,realu_lt))))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4254]) ).
fof(f16004,plain,
( spl734_496
| ~ spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15729,f8354,f15887,f16002]) ).
fof(f15729,plain,
( ! [X170] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| sQ733_eqProxy(s(real,X170),s(real,sK216(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X170)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6458]) ).
fof(f16000,plain,
( spl734_494
| spl734_495
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15623,f8354,f15998,f15995]) ).
fof(f15623,plain,
( ! [X38,X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X39)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X38)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X39)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4424]) ).
fof(f15993,plain,
( spl734_492
| ~ spl734_471
| spl734_493
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15632,f8354,f15991,f15895,f15988]) ).
fof(f15632,plain,
( ! [X56,X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X56)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))),s(real,X57))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X57))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4886]) ).
fof(f15986,plain,
( spl734_480
| ~ spl734_491
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15717,f8354,f15983,f15932]) ).
fof(f15983,plain,
( spl734_491
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_491])]) ).
fof(f15717,plain,
( ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6356]) ).
fof(f15981,plain,
( ~ spl734_490
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15614,f8354,f15978]) ).
fof(f15978,plain,
( spl734_490
<=> sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,sK217(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_490])]) ).
fof(f15614,plain,
( ~ sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,sK217(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6112]) ).
fof(f15976,plain,
( spl734_489
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15733,f8354,f15973]) ).
fof(f15973,plain,
( spl734_489
<=> sQ733_eqProxy(s(real,sK523(sK216(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_489])]) ).
fof(f15733,plain,
( sQ733_eqProxy(s(real,sK523(sK216(real,real,realu_lt),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))),s(real,sK216(real,real,realu_lt)))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6601]) ).
fof(f15971,plain,
( spl734_488
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15652,f8354,f15968]) ).
fof(f15968,plain,
( spl734_488
<=> sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_488])]) ).
fof(f15652,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4343]) ).
fof(f15966,plain,
( ~ spl734_486
| spl734_487
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15619,f8354,f15964,f15960]) ).
fof(f15964,plain,
( spl734_487
<=> ! [X33] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X33))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK217(real,real,realu_lt)))),s(num,X33))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK216(real,real,realu_lt)))),s(num,X33)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_487])]) ).
fof(f15619,plain,
( ! [X33] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X33))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK217(real,real,realu_lt)))),s(num,X33))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK216(real,real,realu_lt)))),s(num,X33))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_lt))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6571]) ).
fof(f15958,plain,
( spl734_485
| spl734_470
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15716,f8354,f15891,f15956]) ).
fof(f15716,plain,
( ! [X148,X147] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X147))))
| ~ sP344(X148,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X147)) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6355]) ).
fof(f15954,plain,
( spl734_484
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15688,f8354,f15951]) ).
fof(f15951,plain,
( spl734_484
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_484])]) ).
fof(f15688,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5297]) ).
fof(f15949,plain,
( spl734_482
| spl734_483
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15656,f8354,f15946,f15942]) ).
fof(f15942,plain,
( spl734_482
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_482])]) ).
fof(f15656,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4418]) ).
fof(f15940,plain,
( spl734_481
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15593,f8354,f15937]) ).
fof(f15593,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4553]) ).
fof(f15935,plain,
( spl734_479
| spl734_480
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15674,f8354,f15932,f15928]) ).
fof(f15928,plain,
( spl734_479
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_479])]) ).
fof(f15674,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5004]) ).
fof(f15926,plain,
( spl734_477
| spl734_473
| spl734_478
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15635,f8354,f15923,f15902,f15920]) ).
fof(f15635,plain,
( ! [X62,X63] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_lt)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X63)))),s(real,X63))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X62)))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4888]) ).
fof(f15918,plain,
( spl734_476
| spl734_469
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15680,f8354,f15887,f15915]) ).
fof(f15915,plain,
( spl734_476
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_476])]) ).
fof(f15680,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),real)))))
| ~ spl734_99 ),
inference(resolution,[],[f8356,f5185]) ).
fof(f15913,plain,
( spl734_474
| ~ spl734_475
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15647,f8354,f15910,f15906]) ).
fof(f15910,plain,
( spl734_475
<=> sQ733_eqProxy(s(real,sK682(realu_lt,real,real,sK217(real,real,realu_lt))),s(real,sK681(realu_lt,real,real,sK217(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_475])]) ).
fof(f15647,plain,
( ~ sQ733_eqProxy(s(real,sK682(realu_lt,real,real,sK217(real,real,realu_lt))),s(real,sK681(realu_lt,real,real,sK217(real,real,realu_lt))))
| sP675(sK217(real,real,realu_lt),real,real,realu_lt)
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6805]) ).
fof(f15904,plain,
( ~ spl734_471
| spl734_472
| spl734_473
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15636,f8354,f15902,f15899,f15895]) ).
fof(f15636,plain,
( ! [X65,X64] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))),X64)))),s(real,X64))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X65))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_lt)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))))))) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f4888]) ).
fof(f15893,plain,
( ~ spl734_469
| spl734_470
| ~ spl734_99 ),
inference(avatar_split_clause,[],[f15726,f8354,f15891,f15887]) ).
fof(f15726,plain,
( ! [X168] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,X168))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt))))
| sQ733_eqProxy(s(real,sK216(real,real,realu_lt)),s(real,X168)) )
| ~ spl734_99 ),
inference(resolution,[],[f8356,f6456]) ).
fof(f15577,plain,
( spl734_468
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15058,f7984,f15574]) ).
fof(f15574,plain,
( spl734_468
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_468])]) ).
fof(f7984,plain,
( spl734_88
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_88])]) ).
fof(f15058,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5297]) ).
fof(f7986,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_88 ),
inference(avatar_component_clause,[],[f7984]) ).
fof(f15572,plain,
( spl734_467
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15022,f7984,f15569]) ).
fof(f15569,plain,
( spl734_467
<=> sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_467])]) ).
fof(f15022,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4343]) ).
fof(f15567,plain,
( spl734_404
| spl734_466
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15051,f7984,f15564,f15261]) ).
fof(f15261,plain,
( spl734_404
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_404])]) ).
fof(f15564,plain,
( spl734_466
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_466])]) ).
fof(f15051,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5186]) ).
fof(f15562,plain,
( ~ spl734_410
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14952,f7984,f15289]) ).
fof(f15289,plain,
( spl734_410
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_410])]) ).
fof(f14952,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4401]) ).
fof(f15561,plain,
( spl734_442
| spl734_443
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14994,f7984,f15438,f15433]) ).
fof(f15433,plain,
( spl734_442
<=> ! [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X83))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_442])]) ).
fof(f15438,plain,
( spl734_443
<=> ! [X74] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X74))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X74)))),s(real,X74)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_443])]) ).
fof(f14994,plain,
( ! [X78,X79] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X79))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X78)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X79)))),s(real,X79)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4425]) ).
fof(f15560,plain,
( spl734_429
| spl734_430
| spl734_444
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15005,f7984,f15442,f15381,f15377]) ).
fof(f15377,plain,
( spl734_429
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_429])]) ).
fof(f15381,plain,
( spl734_430
<=> ! [X96] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X96))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X96)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_430])]) ).
fof(f15442,plain,
( spl734_444
<=> ! [X102] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X102)))),s(real,X102)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_444])]) ).
fof(f15005,plain,
( ! [X101,X100] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X101)))),s(real,X101))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X100))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X100))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4888]) ).
fof(f15559,plain,
( spl734_439
| spl734_457
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14997,f7984,f15510,f15420]) ).
fof(f15420,plain,
( spl734_439
<=> ! [X87] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X87)))),s(real,X87)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_439])]) ).
fof(f15510,plain,
( spl734_457
<=> ! [X80] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X80))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X80)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_457])]) ).
fof(f14997,plain,
( ! [X84,X85] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X84))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X85)))),s(real,X85))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X84))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4427]) ).
fof(f15558,plain,
( spl734_465
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15101,f7984,f15555]) ).
fof(f15555,plain,
( spl734_465
<=> sQ733_eqProxy(s(real,sK442(real,sK214(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK214(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_465])]) ).
fof(f15101,plain,
( sQ733_eqProxy(s(real,sK442(real,sK214(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK214(real,real,realu_le)))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6483]) ).
fof(f15553,plain,
( ~ spl734_410
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14976,f7984,f15289]) ).
fof(f14976,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5425]) ).
fof(f15552,plain,
( ~ spl734_407
| spl734_425
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15079,f7984,f15358,f15275]) ).
fof(f15275,plain,
( spl734_407
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_407])]) ).
fof(f15358,plain,
( spl734_425
<=> ! [X185] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X185))))
| sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X185)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_425])]) ).
fof(f15079,plain,
( ! [X170] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X170))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X170))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6088]) ).
fof(f15551,plain,
( ~ spl734_418
| spl734_444
| spl734_460
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15000,f7984,f15524,f15442,f15328]) ).
fof(f15328,plain,
( spl734_418
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_418])]) ).
fof(f15524,plain,
( spl734_460
<=> ! [X95] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X95)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X95)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_460])]) ).
fof(f15000,plain,
( ! [X90,X91] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X90))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X91)))),s(real,X91))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X90)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4884]) ).
fof(f15550,plain,
( spl734_464
| ~ spl734_431
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14982,f7984,f15385,f15548]) ).
fof(f15548,plain,
( spl734_464
<=> ! [X62,X63] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X62))),s(real,sK215(real,real,realu_le)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X63))),s(real,sK214(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X62))),s(real,X63))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_464])]) ).
fof(f15385,plain,
( spl734_431
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_431])]) ).
fof(f14982,plain,
( ! [X62,X63] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X62))),s(real,sK215(real,real,realu_le)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X63))),s(real,sK214(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X62))),s(real,X63)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5669]) ).
fof(f5669,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X3)))) ),
inference(cnf_transformation,[],[f4080]) ).
fof(f4080,plain,
! [X2,X1,X0,X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X3))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(flattening,[],[f4079]) ).
fof(f4079,plain,
! [X2,X1,X3,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X3)))) ),
inference(ennf_transformation,[],[f3250]) ).
fof(f3250,plain,
! [X2,X1,X3,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X3)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,X2)))))) ),
inference(rectify,[],[f1243]) ).
fof(f1243,axiom,
! [X7,X54,X8,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X54))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X54))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X8)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X54))),s(real,X7))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X8)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_MUL2) ).
fof(f15546,plain,
( spl734_416
| ~ spl734_404
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15097,f7984,f15261,f15318]) ).
fof(f15318,plain,
( spl734_416
<=> ! [X110] :
( sQ733_eqProxy(s(real,X110),s(real,sK214(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X110)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_416])]) ).
fof(f15097,plain,
( ! [X207] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X207))))
| sQ733_eqProxy(s(real,X207),s(real,sK214(real,real,realu_le))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6456]) ).
fof(f15545,plain,
( spl734_463
| spl734_404
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15049,f7984,f15261,f15542]) ).
fof(f15542,plain,
( spl734_463
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_463])]) ).
fof(f15049,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5183]) ).
fof(f15540,plain,
( spl734_405
| spl734_415
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14986,f7984,f15313,f15266]) ).
fof(f15266,plain,
( spl734_405
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_405])]) ).
fof(f15313,plain,
( spl734_415
<=> sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,sK215(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_415])]) ).
fof(f14986,plain,
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,sK215(real,real,realu_le)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6134]) ).
fof(f15539,plain,
( spl734_416
| spl734_424
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15085,f7984,f15355,f15318]) ).
fof(f15355,plain,
( spl734_424
<=> ! [X186] : ~ sP344(X186,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_424])]) ).
fof(f15085,plain,
( ! [X184,X183] :
( ~ sP344(X184,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X183))))
| sQ733_eqProxy(s(real,X183),s(real,sK214(real,real,realu_le))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6355]) ).
fof(f15538,plain,
( spl734_462
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15065,f7984,f15535]) ).
fof(f15535,plain,
( spl734_462
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK523(sK214(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_462])]) ).
fof(f15065,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK523(sK214(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5452]) ).
fof(f15532,plain,
( ~ spl734_440
| spl734_425
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15019,f7984,f15358,f15424]) ).
fof(f15019,plain,
( ! [X113] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X113))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X113))))
| ~ sP675(sK215(real,real,realu_le),real,real,realu_le) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6806]) ).
fof(f15531,plain,
( spl734_461
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14972,f7984,f15528]) ).
fof(f15528,plain,
( spl734_461
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(sK215(real,real,realu_le),sK214(real,real,realu_le))))),s(real,sK214(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_461])]) ).
fof(f14972,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(sK215(real,real,realu_le),sK214(real,real,realu_le))))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5124]) ).
fof(f5124,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(X0,X1)))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3133]) ).
fof(f3133,plain,
! [X1,X0] :
( ? [X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2)))) )
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f2681]) ).
fof(f2681,axiom,
! [X15,X19] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X15))),s(real,X19))))
<=> ? [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X19))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X15))),s(real,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_BETWEEN) ).
fof(f15526,plain,
( ~ spl734_418
| spl734_420
| spl734_460
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15002,f7984,f15524,f15335,f15328]) ).
fof(f15335,plain,
( spl734_420
<=> ! [X93] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X93))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_420])]) ).
fof(f15002,plain,
( ! [X94,X95] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X95)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X94)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X95))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4886]) ).
fof(f15522,plain,
( spl734_459
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15037,f7984,f15519]) ).
fof(f15519,plain,
( spl734_459
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_459])]) ).
fof(f15037,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4826]) ).
fof(f15517,plain,
( spl734_458
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14947,f7984,f15514]) ).
fof(f15514,plain,
( spl734_458
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_le)))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,sK214(real,real,realu_le)))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_458])]) ).
fof(f14947,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_le)))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,sK214(real,real,realu_le)))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4144]) ).
fof(f4144,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(cnf_transformation,[],[f4121]) ).
fof(f4121,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(ennf_transformation,[],[f3297]) ).
fof(f3297,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(rectify,[],[f1088]) ).
fof(f1088,axiom,
! [X0,X7] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X7))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_ADD1) ).
fof(f15512,plain,
( spl734_442
| spl734_457
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14995,f7984,f15510,f15433]) ).
fof(f14995,plain,
( ! [X80,X81] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X80))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X81)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X80)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4426]) ).
fof(f15508,plain,
( ~ spl734_407
| spl734_416
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15078,f7984,f15318,f15275]) ).
fof(f15078,plain,
( ! [X169] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X169))))
| sQ733_eqProxy(s(real,X169),s(real,sK214(real,real,realu_le)))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6088]) ).
fof(f15507,plain,
( ~ spl734_407
| spl734_456
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15081,f7984,f15504,f15275]) ).
fof(f15504,plain,
( spl734_456
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK214(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_456])]) ).
fof(f15081,plain,
( sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK214(real,real,realu_le)))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6090]) ).
fof(f15502,plain,
( spl734_413
| spl734_455
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15045,f7984,f15499,f15303]) ).
fof(f15303,plain,
( spl734_413
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_413])]) ).
fof(f15499,plain,
( spl734_455
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_455])]) ).
fof(f15045,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5005]) ).
fof(f15497,plain,
( ~ spl734_404
| spl734_425
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15096,f7984,f15358,f15261]) ).
fof(f15096,plain,
( ! [X206] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X206))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X206))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6456]) ).
fof(f15496,plain,
( spl734_422
| ~ spl734_421
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14984,f7984,f15339,f15343]) ).
fof(f15343,plain,
( spl734_422
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK215(real,real,realu_le)))))),s(real,sK214(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_422])]) ).
fof(f15339,plain,
( spl734_421
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK214(real,real,realu_le)))))),s(real,sK215(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_421])]) ).
fof(f14984,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK214(real,real,realu_le)))))),s(real,sK215(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK215(real,real,realu_le)))))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5808]) ).
fof(f5808,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3381]) ).
fof(f15495,plain,
( spl734_439
| spl734_453
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14991,f7984,f15487,f15420]) ).
fof(f15487,plain,
( spl734_453
<=> ! [X77] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X77))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X77))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_453])]) ).
fof(f14991,plain,
( ! [X72,X73] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X72))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X72)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X73)))),s(real,X73)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4422]) ).
fof(f15494,plain,
( ~ spl734_431
| spl734_454
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14979,f7984,f15492,f15385]) ).
fof(f15492,plain,
( spl734_454
<=> ! [X59] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK215(real,real,realu_le)))),s(num,X59))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK214(real,real,realu_le)))),s(num,X59)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_454])]) ).
fof(f14979,plain,
( ! [X59] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK215(real,real,realu_le)))),s(num,X59))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK214(real,real,realu_le)))),s(num,X59))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5448]) ).
fof(f5448,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2)))) ),
inference(cnf_transformation,[],[f3834]) ).
fof(f3834,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,X1)))))) ),
inference(flattening,[],[f3833]) ).
fof(f3833,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2)))) ),
inference(ennf_transformation,[],[f3199]) ).
fof(f3199,plain,
! [X2,X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,X1)))))) ),
inference(rectify,[],[f1262]) ).
fof(f1262,axiom,
! [X0,X83,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,X83)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_LE2) ).
fof(f15490,plain,
( spl734_425
| spl734_72
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15015,f7984,f7893,f15358]) ).
fof(f7893,plain,
( spl734_72
<=> ! [X226] : ~ sP93(sK91(realu_le,real,real,X226),sK92(realu_le,real,real,X226),X226,real,real,realu_le) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_72])]) ).
fof(f15015,plain,
( ! [X108,X109] :
( ~ sP93(sK91(realu_le,real,real,X109),sK92(realu_le,real,real,X109),X109,real,real,realu_le)
| sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X108))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X108)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6077]) ).
fof(f15489,plain,
( spl734_442
| spl734_453
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14993,f7984,f15487,f15433]) ).
fof(f14993,plain,
( ! [X76,X77] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X77))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X77)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X76))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4424]) ).
fof(f15485,plain,
( spl734_452
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15038,f7984,f15482]) ).
fof(f15482,plain,
( spl734_452
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_452])]) ).
fof(f15038,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4827]) ).
fof(f15480,plain,
( spl734_451
| spl734_404
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15050,f7984,f15261,f15477]) ).
fof(f15477,plain,
( spl734_451
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_451])]) ).
fof(f15050,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5185]) ).
fof(f15475,plain,
( ~ spl734_410
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14951,f7984,f15289]) ).
fof(f14951,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4323]) ).
fof(f15474,plain,
( ~ spl734_450
| spl734_440
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15017,f7984,f15424,f15471]) ).
fof(f15471,plain,
( spl734_450
<=> sQ733_eqProxy(s(real,sK682(realu_le,real,real,sK215(real,real,realu_le))),s(real,sK681(realu_le,real,real,sK215(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_450])]) ).
fof(f15017,plain,
( sP675(sK215(real,real,realu_le),real,real,realu_le)
| ~ sQ733_eqProxy(s(real,sK682(realu_le,real,real,sK215(real,real,realu_le))),s(real,sK681(realu_le,real,real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6805]) ).
fof(f15469,plain,
( spl734_449
| spl734_440
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15011,f7984,f15424,f15466]) ).
fof(f15466,plain,
( spl734_449
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK681(realu_le,real,real,sK215(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_449])]) ).
fof(f15011,plain,
( sP675(sK215(real,real,realu_le),real,real,realu_le)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK681(realu_le,real,real,sK215(real,real,realu_le))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5793]) ).
fof(f15464,plain,
( spl734_407
| spl734_448
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15024,f7984,f15461,f15275]) ).
fof(f15461,plain,
( spl734_448
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real,sK214(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_448])]) ).
fof(f15024,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real,sK214(real,real,realu_le))))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4414]) ).
fof(f15459,plain,
( ~ spl734_440
| spl734_416
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15018,f7984,f15318,f15424]) ).
fof(f15018,plain,
( ! [X112] :
( sQ733_eqProxy(s(real,X112),s(real,sK214(real,real,realu_le)))
| ~ sP675(sK215(real,real,realu_le),real,real,realu_le)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X112)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6806]) ).
fof(f15458,plain,
( spl734_404
| ~ spl734_447
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15098,f7984,f15455,f15261]) ).
fof(f15455,plain,
( spl734_447
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_447])]) ).
fof(f15098,plain,
( ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6457]) ).
fof(f15453,plain,
( ~ spl734_418
| spl734_420
| spl734_445
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15004,f7984,f15445,f15335,f15328]) ).
fof(f15445,plain,
( spl734_445
<=> ! [X103] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X103))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X103)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_445])]) ).
fof(f15004,plain,
( ! [X98,X99] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X99))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X98)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X99)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4887]) ).
fof(f15452,plain,
( ~ spl734_431
| spl734_446
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14983,f7984,f15450,f15385]) ).
fof(f15450,plain,
( spl734_446
<=> ! [X64,X65] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK215(real,real,realu_le)))),s(real,X64))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK214(real,real,realu_le)))),s(real,X65))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X64))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X64))),s(real,X65)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_446])]) ).
fof(f14983,plain,
( ! [X65,X64] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK215(real,real,realu_le)))),s(real,X64))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK214(real,real,realu_le)))),s(real,X65))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X64))),s(real,X65))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X64))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5669]) ).
fof(f15448,plain,
( ~ spl734_418
| spl734_419
| spl734_444
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14999,f7984,f15442,f15332,f15328]) ).
fof(f15332,plain,
( spl734_419
<=> ! [X92] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X92))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X92)))),s(real,X92)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_419])]) ).
fof(f14999,plain,
( ! [X88,X89] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X89)))),s(real,X89))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X88))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X88)))),s(real,X88)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4883]) ).
fof(f15447,plain,
( ~ spl734_418
| spl734_444
| spl734_445
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15006,f7984,f15445,f15442,f15328]) ).
fof(f15006,plain,
( ! [X102,X103] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X103))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X102)))),s(real,X102))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X103)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4888]) ).
fof(f15440,plain,
( spl734_439
| spl734_443
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14992,f7984,f15438,f15420]) ).
fof(f14992,plain,
( ! [X74,X75] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X74))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X75)))),s(real,X75))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X74)))),s(real,X74)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4423]) ).
fof(f15436,plain,
( ~ spl734_404
| spl734_425
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15100,f7984,f15358,f15261]) ).
fof(f15100,plain,
( ! [X209] :
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X209))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X209)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6458]) ).
fof(f15435,plain,
( spl734_437
| spl734_438
| spl734_442
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14996,f7984,f15433,f15417,f15413]) ).
fof(f15413,plain,
( spl734_437
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_437])]) ).
fof(f15417,plain,
( spl734_438
<=> ! [X86] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X86)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_438])]) ).
fof(f14996,plain,
( ! [X82,X83] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X83)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X82))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4426]) ).
fof(f15431,plain,
( spl734_440
| spl734_441
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15012,f7984,f15428,f15424]) ).
fof(f15428,plain,
( spl734_441
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK682(realu_le,real,real,sK215(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_441])]) ).
fof(f15012,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK682(realu_le,real,real,sK215(real,real,realu_le))))))
| sP675(sK215(real,real,realu_le),real,real,realu_le)
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5794]) ).
fof(f15422,plain,
( spl734_437
| spl734_438
| spl734_439
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14998,f7984,f15420,f15417,f15413]) ).
fof(f14998,plain,
( ! [X86,X87] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X87)))),s(real,X87))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X86))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4427]) ).
fof(f15411,plain,
( spl734_407
| spl734_436
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15025,f7984,f15408,f15275]) ).
fof(f15408,plain,
( spl734_436
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_436])]) ).
fof(f15025,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4417]) ).
fof(f15406,plain,
( spl734_435
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15057,f7984,f15403]) ).
fof(f15403,plain,
( spl734_435
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK442(real,sK214(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_435])]) ).
fof(f15057,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK442(real,sK214(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5266]) ).
fof(f15401,plain,
( ~ spl734_433
| spl734_434
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14963,f7984,f15398,f15394]) ).
fof(f15394,plain,
( spl734_433
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_433])]) ).
fof(f15398,plain,
( spl734_434
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,sK214(real,real,realu_le)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK215(real,real,realu_le))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_434])]) ).
fof(f14963,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,sK214(real,real,realu_le)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK215(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4580]) ).
fof(f4580,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f4001]) ).
fof(f4001,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(flattening,[],[f4000]) ).
fof(f4000,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3372]) ).
fof(f3372,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,X1))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
inference(rectify,[],[f1249]) ).
fof(f1249,axiom,
! [X0,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,X7))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_INV2) ).
fof(f15392,plain,
( ~ spl734_431
| spl734_432
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14968,f7984,f15389,f15385]) ).
fof(f15389,plain,
( spl734_432
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,sK215(real,real,realu_le)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK214(real,real,realu_le))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_432])]) ).
fof(f14968,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,sK215(real,real,realu_le)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK214(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5120]) ).
fof(f5120,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1)))))) ),
inference(cnf_transformation,[],[f3910]) ).
fof(f3910,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(flattening,[],[f3909]) ).
fof(f3909,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f3003]) ).
fof(f3003,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1)))))) ),
inference(rectify,[],[f2830]) ).
fof(f2830,axiom,
! [X0,X7] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,i(s(fun(real,real),sqrt),s(real,X7)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_MONOu_LE) ).
fof(f15383,plain,
( spl734_429
| spl734_430
| spl734_420
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15003,f7984,f15335,f15381,f15377]) ).
fof(f15003,plain,
( ! [X96,X97] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X97)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X96))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X96)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4887]) ).
fof(f15375,plain,
( spl734_428
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15103,f7984,f15372]) ).
fof(f15372,plain,
( spl734_428
<=> sQ733_eqProxy(s(real,sK523(sK214(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK214(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_428])]) ).
fof(f15103,plain,
( sQ733_eqProxy(s(real,sK523(sK214(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK214(real,real,realu_le)))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6601]) ).
fof(f15370,plain,
( spl734_404
| ~ spl734_427
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15095,f7984,f15367,f15261]) ).
fof(f15367,plain,
( spl734_427
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_427])]) ).
fof(f15095,plain,
( ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6455]) ).
fof(f15365,plain,
( spl734_426
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14971,f7984,f15362]) ).
fof(f15362,plain,
( spl734_426
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK384(sK215(real,real,realu_le),sK214(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_426])]) ).
fof(f14971,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK384(sK215(real,real,realu_le),sK214(real,real,realu_le))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5123]) ).
fof(f5123,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sK384(X0,X1))))) ),
inference(cnf_transformation,[],[f3133]) ).
fof(f15360,plain,
( spl734_424
| spl734_425
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15086,f7984,f15358,f15355]) ).
fof(f15086,plain,
( ! [X186,X185] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X185))))
| ~ sP344(X186,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,X185)) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6355]) ).
fof(f15353,plain,
( ~ spl734_404
| spl734_416
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15099,f7984,f15318,f15261]) ).
fof(f15099,plain,
( ! [X208] :
( sQ733_eqProxy(s(real,X208),s(real,sK214(real,real,realu_le)))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X208)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6458]) ).
fof(f15351,plain,
( ~ spl734_423
| spl734_413
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15087,f7984,f15303,f15348]) ).
fof(f15348,plain,
( spl734_423
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_423])]) ).
fof(f15087,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6356]) ).
fof(f15346,plain,
( ~ spl734_421
| spl734_422
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14981,f7984,f15343,f15339]) ).
fof(f14981,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK215(real,real,realu_le)))))),s(real,sK214(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK214(real,real,realu_le)))))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5598]) ).
fof(f5598,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3391]) ).
fof(f15337,plain,
( ~ spl734_418
| spl734_419
| spl734_420
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15001,f7984,f15335,f15332,f15328]) ).
fof(f15001,plain,
( ! [X92,X93] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X93)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))),s(real,X92))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),X92)))),s(real,X92))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK214(real,real,realu_le))))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4885]) ).
fof(f15326,plain,
( ~ spl734_417
| spl734_407
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15077,f7984,f15275,f15323]) ).
fof(f15323,plain,
( spl734_417
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_417])]) ).
fof(f15077,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6087]) ).
fof(f15321,plain,
( ~ spl734_410
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14975,f7984,f15289]) ).
fof(f14975,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5341]) ).
fof(f15320,plain,
( spl734_72
| spl734_416
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15016,f7984,f15318,f7893]) ).
fof(f15016,plain,
( ! [X111,X110] :
( sQ733_eqProxy(s(real,X110),s(real,sK214(real,real,realu_le)))
| ~ sP93(sK91(realu_le,real,real,X111),sK92(realu_le,real,real,X111),X111,real,real,realu_le)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,X110)))) )
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6077]) ).
fof(f15316,plain,
( ~ spl734_411
| spl734_415
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14989,f7984,f15313,f15294]) ).
fof(f15294,plain,
( spl734_411
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_411])]) ).
fof(f14989,plain,
( sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,sK215(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6890]) ).
fof(f15311,plain,
( ~ spl734_414
| spl734_407
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15080,f7984,f15275,f15308]) ).
fof(f15308,plain,
( spl734_414
<=> sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real,sK214(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_414])]) ).
fof(f15080,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ sQ733_eqProxy(s(real,sK214(real,real,realu_le)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real,sK214(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6089]) ).
fof(f15306,plain,
( spl734_412
| spl734_413
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15044,f7984,f15303,f15299]) ).
fof(f15299,plain,
( spl734_412
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_412])]) ).
fof(f15044,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5004]) ).
fof(f15297,plain,
( spl734_406
| ~ spl734_411
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14990,f7984,f15294,f15270]) ).
fof(f15270,plain,
( spl734_406
<=> sQ733_eqProxy(s(real,sK215(real,real,realu_le)),s(real,sK214(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_406])]) ).
fof(f14990,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| sQ733_eqProxy(s(real,sK215(real,real,realu_le)),s(real,sK214(real,real,realu_le)))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6890]) ).
fof(f15292,plain,
( ~ spl734_410
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14967,f7984,f15289]) ).
fof(f14967,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK214(real,real,realu_le)))),s(real,sK215(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5119]) ).
fof(f15287,plain,
( spl734_409
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15059,f7984,f15284]) ).
fof(f15284,plain,
( spl734_409
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_409])]) ).
fof(f15059,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5298]) ).
fof(f15282,plain,
( spl734_407
| spl734_408
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15026,f7984,f15279,f15275]) ).
fof(f15279,plain,
( spl734_408
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_408])]) ).
fof(f15026,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f4418]) ).
fof(f15273,plain,
( spl734_405
| spl734_406
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f14985,f7984,f15270,f15266]) ).
fof(f14985,plain,
( sQ733_eqProxy(s(real,sK215(real,real,realu_le)),s(real,sK214(real,real,realu_le)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f6004]) ).
fof(f15264,plain,
( spl734_403
| spl734_404
| ~ spl734_88 ),
inference(avatar_split_clause,[],[f15048,f7984,f15261,f15257]) ).
fof(f15257,plain,
( spl734_403
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_403])]) ).
fof(f15048,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le))),real)))))
| ~ spl734_88 ),
inference(resolution,[],[f7986,f5181]) ).
fof(f14946,plain,
( spl734_402
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14433,f7935,f14943]) ).
fof(f14943,plain,
( spl734_402
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK523(sK216(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_402])]) ).
fof(f7935,plain,
( spl734_79
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_79])]) ).
fof(f14433,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK523(sK216(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5452]) ).
fof(f7937,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_79 ),
inference(avatar_component_clause,[],[f7935]) ).
fof(f14941,plain,
( spl734_346
| ~ spl734_401
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14466,f7935,f14938,f14664]) ).
fof(f14664,plain,
( spl734_346
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_346])]) ).
fof(f14938,plain,
( spl734_401
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_401])]) ).
fof(f14466,plain,
( ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6457]) ).
fof(f14936,plain,
( spl734_400
| spl734_375
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14361,f7935,f14797,f14932]) ).
fof(f14932,plain,
( spl734_400
<=> ! [X72] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X72))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X72))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_400])]) ).
fof(f14797,plain,
( spl734_375
<=> ! [X81] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X81))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_375])]) ).
fof(f14361,plain,
( ! [X76,X77] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X76)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X77)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X77)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4424]) ).
fof(f14935,plain,
( ~ spl734_369
| spl734_390
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14358,f7935,f14869,f14771]) ).
fof(f14358,plain,
( sQ733_eqProxy(s(real,sK217(real,real,realu_le)),s(real,sK216(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6890]) ).
fof(f14934,plain,
( spl734_355
| spl734_400
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14359,f7935,f14932,f14706]) ).
fof(f14706,plain,
( spl734_355
<=> ! [X87] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X87)))),s(real,X87)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_355])]) ).
fof(f14359,plain,
( ! [X72,X73] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X72))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X72)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X73)))),s(real,X73)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4422]) ).
fof(f14930,plain,
( spl734_399
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14426,f7935,f14927]) ).
fof(f14927,plain,
( spl734_399
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_399])]) ).
fof(f14426,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5297]) ).
fof(f14925,plain,
( spl734_398
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14425,f7935,f14922]) ).
fof(f14922,plain,
( spl734_398
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK442(real,sK216(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_398])]) ).
fof(f14425,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK442(real,sK216(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5266]) ).
fof(f14920,plain,
( spl734_72
| spl734_344
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14384,f7935,f14654,f7893]) ).
fof(f14654,plain,
( spl734_344
<=> ! [X169] :
( sQ733_eqProxy(s(real,X169),s(real,sK216(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X169)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_344])]) ).
fof(f14384,plain,
( ! [X111,X110] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X110))))
| sQ733_eqProxy(s(real,X110),s(real,sK216(real,real,realu_le)))
| ~ sP93(sK91(realu_le,real,real,X111),sK92(realu_le,real,real,X111),X111,real,real,realu_le) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6077]) ).
fof(f14919,plain,
( spl734_355
| spl734_376
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14365,f7935,f14800,f14706]) ).
fof(f14800,plain,
( spl734_376
<=> ! [X80] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X80))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X80))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_376])]) ).
fof(f14365,plain,
( ! [X84,X85] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X84))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X85)))),s(real,X85))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X84))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4427]) ).
fof(f14918,plain,
( spl734_389
| spl734_362
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14454,f7935,f14735,f14865]) ).
fof(f14865,plain,
( spl734_389
<=> ! [X184] : ~ sP344(X184,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_389])]) ).
fof(f14735,plain,
( spl734_362
<=> ! [X209] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X209))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X209)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_362])]) ).
fof(f14454,plain,
( ! [X186,X185] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X185))))
| ~ sP344(X186,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X185)) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6355]) ).
fof(f14916,plain,
( spl734_375
| spl734_357
| spl734_356
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14364,f7935,f14709,f14712,f14797]) ).
fof(f14712,plain,
( spl734_357
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_357])]) ).
fof(f14709,plain,
( spl734_356
<=> ! [X86] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X86)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_356])]) ).
fof(f14364,plain,
( ! [X82,X83] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X82))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X83))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4426]) ).
fof(f14915,plain,
( spl734_397
| spl734_351
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14380,f7935,f14685,f14912]) ).
fof(f14912,plain,
( spl734_397
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK682(realu_le,real,real,sK217(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_397])]) ).
fof(f14380,plain,
( sP675(sK217(real,real,realu_le),real,real,realu_le)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK682(realu_le,real,real,sK217(real,real,realu_le))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5794]) ).
fof(f14910,plain,
( spl734_341
| spl734_363
| ~ spl734_340
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14369,f7935,f14639,f14739,f14643]) ).
fof(f14643,plain,
( spl734_341
<=> ! [X98] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X98))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_341])]) ).
fof(f14739,plain,
( spl734_363
<=> ! [X88] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X88)))),s(real,X88))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X88)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_363])]) ).
fof(f14639,plain,
( spl734_340
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_340])]) ).
fof(f14369,plain,
( ! [X92,X93] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X92)))),s(real,X92))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X93)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X92)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4885]) ).
fof(f14909,plain,
( ~ spl734_346
| spl734_362
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14464,f7935,f14735,f14664]) ).
fof(f14464,plain,
( ! [X206] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X206))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X206)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6456]) ).
fof(f14908,plain,
( spl734_396
| ~ spl734_349
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14350,f7935,f14676,f14906]) ).
fof(f14906,plain,
( spl734_396
<=> ! [X62,X63] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X62))),s(real,X63))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X62))),s(real,sK217(real,real,realu_le)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X63))),s(real,sK216(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_396])]) ).
fof(f14676,plain,
( spl734_349
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_349])]) ).
fof(f14350,plain,
( ! [X62,X63] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X62))),s(real,X63))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X62))),s(real,sK217(real,real,realu_le)))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X63))),s(real,sK216(real,real,realu_le))))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5669]) ).
fof(f14904,plain,
( spl734_395
| spl734_343
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14392,f7935,f14650,f14901]) ).
fof(f14901,plain,
( spl734_395
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real,sK216(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_395])]) ).
fof(f14650,plain,
( spl734_343
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_343])]) ).
fof(f14392,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real,sK216(real,real,realu_le))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4414]) ).
fof(f14899,plain,
( spl734_394
| spl734_351
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14379,f7935,f14685,f14896]) ).
fof(f14896,plain,
( spl734_394
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK681(realu_le,real,real,sK217(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_394])]) ).
fof(f14379,plain,
( sP675(sK217(real,real,realu_le),real,real,realu_le)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK681(realu_le,real,real,sK217(real,real,realu_le))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5793]) ).
fof(f14894,plain,
( spl734_355
| spl734_385
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14360,f7935,f14846,f14706]) ).
fof(f14846,plain,
( spl734_385
<=> ! [X79] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X79)))),s(real,X79))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X79)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_385])]) ).
fof(f14360,plain,
( ! [X74,X75] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X74))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X74)))),s(real,X74))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X75)))),s(real,X75)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4423]) ).
fof(f14893,plain,
( ~ spl734_339
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14343,f7935,f14634]) ).
fof(f14634,plain,
( spl734_339
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_339])]) ).
fof(f14343,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5341]) ).
fof(f14892,plain,
( spl734_391
| spl734_370
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14354,f7935,f14775,f14873]) ).
fof(f14354,plain,
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK217(real,real,realu_le)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6134]) ).
fof(f14891,plain,
( spl734_358
| spl734_371
| spl734_372
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14373,f7935,f14784,f14780,f14718]) ).
fof(f14718,plain,
( spl734_358
<=> ! [X91] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X91)))),s(real,X91)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_358])]) ).
fof(f14780,plain,
( spl734_371
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_371])]) ).
fof(f14784,plain,
( spl734_372
<=> ! [X96] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X96))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X96)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_372])]) ).
fof(f14373,plain,
( ! [X101,X100] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X100))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X101)))),s(real,X101))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X100)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4888]) ).
fof(f14890,plain,
( ~ spl734_374
| spl734_373
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14352,f7935,f14788,f14792]) ).
fof(f14792,plain,
( spl734_374
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_le)))))),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_374])]) ).
fof(f14788,plain,
( spl734_373
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK217(real,real,realu_le)))))),s(real,sK216(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_373])]) ).
fof(f14352,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK217(real,real,realu_le)))))),s(real,sK216(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_le)))))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5808]) ).
fof(f14889,plain,
( spl734_393
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14405,f7935,f14886]) ).
fof(f14886,plain,
( spl734_393
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_393])]) ).
fof(f14405,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4826]) ).
fof(f14883,plain,
( spl734_72
| spl734_362
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14383,f7935,f14735,f7893]) ).
fof(f14383,plain,
( ! [X108,X109] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X108))
| ~ sP93(sK91(realu_le,real,real,X109),sK92(realu_le,real,real,X109),X109,real,real,realu_le)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X108)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6077]) ).
fof(f14882,plain,
( spl734_358
| spl734_342
| ~ spl734_340
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14374,f7935,f14639,f14646,f14718]) ).
fof(f14646,plain,
( spl734_342
<=> ! [X99] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X99))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X99))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_342])]) ).
fof(f14374,plain,
( ! [X102,X103] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X103))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X103))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X102)))),s(real,X102)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4888]) ).
fof(f14881,plain,
( spl734_392
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14315,f7935,f14878]) ).
fof(f14878,plain,
( spl734_392
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_392])]) ).
fof(f14315,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,sK216(real,real,realu_le)))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4144]) ).
fof(f14876,plain,
( spl734_390
| spl734_391
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14353,f7935,f14873,f14869]) ).
fof(f14353,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le)))))
| sQ733_eqProxy(s(real,sK217(real,real,realu_le)),s(real,sK216(real,real,realu_le)))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6004]) ).
fof(f14867,plain,
( spl734_344
| spl734_389
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14453,f7935,f14865,f14654]) ).
fof(f14453,plain,
( ! [X184,X183] :
( ~ sP344(X184,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| sQ733_eqProxy(s(real,X183),s(real,sK216(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X183)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6355]) ).
fof(f14863,plain,
( spl734_388
| spl734_346
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14419,f7935,f14664,f14860]) ).
fof(f14860,plain,
( spl734_388
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_388])]) ).
fof(f14419,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5186]) ).
fof(f14858,plain,
( spl734_387
| spl734_346
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14417,f7935,f14664,f14855]) ).
fof(f14855,plain,
( spl734_387
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_387])]) ).
fof(f14417,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5183]) ).
fof(f14853,plain,
( spl734_386
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14406,f7935,f14850]) ).
fof(f14850,plain,
( spl734_386
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_386])]) ).
fof(f14406,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4827]) ).
fof(f14848,plain,
( spl734_375
| spl734_385
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14362,f7935,f14846,f14797]) ).
fof(f14362,plain,
( ! [X78,X79] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X79)))),s(real,X79))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X78)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X79)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4425]) ).
fof(f14844,plain,
( ~ spl734_349
| spl734_384
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14336,f7935,f14841,f14676]) ).
fof(f14841,plain,
( spl734_384
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,sK217(real,real,realu_le)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK216(real,real,realu_le))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_384])]) ).
fof(f14336,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,sK217(real,real,realu_le)))))),s(real,i(s(fun(real,real),sqrt),s(real,sK216(real,real,realu_le)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5120]) ).
fof(f14839,plain,
( spl734_346
| spl734_383
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14418,f7935,f14836,f14664]) ).
fof(f14836,plain,
( spl734_383
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_383])]) ).
fof(f14418,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5185]) ).
fof(f14834,plain,
( spl734_343
| ~ spl734_382
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14448,f7935,f14831,f14650]) ).
fof(f14831,plain,
( spl734_382
<=> sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real,sK216(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_382])]) ).
fof(f14448,plain,
( ~ sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real,sK216(real,real,realu_le))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6089]) ).
fof(f14829,plain,
( spl734_381
| spl734_343
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14394,f7935,f14650,f14826]) ).
fof(f14826,plain,
( spl734_381
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_381])]) ).
fof(f14394,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4418]) ).
fof(f14824,plain,
( spl734_346
| ~ spl734_380
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14463,f7935,f14821,f14664]) ).
fof(f14821,plain,
( spl734_380
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_380])]) ).
fof(f14463,plain,
( ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6455]) ).
fof(f14819,plain,
( spl734_379
| spl734_338
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14413,f7935,f14629,f14816]) ).
fof(f14816,plain,
( spl734_379
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_379])]) ).
fof(f14629,plain,
( spl734_338
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_338])]) ).
fof(f14413,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5005]) ).
fof(f14814,plain,
( ~ spl734_351
| spl734_362
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14387,f7935,f14735,f14685]) ).
fof(f14387,plain,
( ! [X113] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X113))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X113))))
| ~ sP675(sK217(real,real,realu_le),real,real,realu_le) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6806]) ).
fof(f14813,plain,
( ~ spl734_339
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14335,f7935,f14634]) ).
fof(f14335,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5119]) ).
fof(f14812,plain,
( spl734_378
| spl734_343
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14393,f7935,f14650,f14809]) ).
fof(f14809,plain,
( spl734_378
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_378])]) ).
fof(f14393,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4417]) ).
fof(f14807,plain,
( spl734_377
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14340,f7935,f14804]) ).
fof(f14804,plain,
( spl734_377
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(sK217(real,real,realu_le),sK216(real,real,realu_le))))),s(real,sK216(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_377])]) ).
fof(f14340,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(sK217(real,real,realu_le),sK216(real,real,realu_le))))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5124]) ).
fof(f14802,plain,
( spl734_375
| spl734_376
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14363,f7935,f14800,f14797]) ).
fof(f14363,plain,
( ! [X80,X81] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X80))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X80))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X81))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4426]) ).
fof(f14795,plain,
( spl734_373
| ~ spl734_374
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14349,f7935,f14792,f14788]) ).
fof(f14349,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,sK216(real,real,realu_le)))))),s(real,sK217(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,sK217(real,real,realu_le)))))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5598]) ).
fof(f14786,plain,
( spl734_371
| spl734_341
| spl734_372
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14371,f7935,f14784,f14643,f14780]) ).
fof(f14371,plain,
( ! [X96,X97] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X96))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X97)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X96)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4887]) ).
fof(f14778,plain,
( ~ spl734_369
| spl734_370
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14357,f7935,f14775,f14771]) ).
fof(f14357,plain,
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,sK217(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6890]) ).
fof(f14769,plain,
( spl734_368
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14427,f7935,f14766]) ).
fof(f14766,plain,
( spl734_368
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_368])]) ).
fof(f14427,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5298]) ).
fof(f14764,plain,
( ~ spl734_343
| spl734_367
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14449,f7935,f14761,f14650]) ).
fof(f14761,plain,
( spl734_367
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK216(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_367])]) ).
fof(f14449,plain,
( sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK216(real,real,realu_le)))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6090]) ).
fof(f14759,plain,
( spl734_343
| ~ spl734_366
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14445,f7935,f14756,f14650]) ).
fof(f14756,plain,
( spl734_366
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_366])]) ).
fof(f14445,plain,
( ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6087]) ).
fof(f14754,plain,
( ~ spl734_340
| spl734_359
| spl734_341
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14370,f7935,f14643,f14721,f14639]) ).
fof(f14721,plain,
( spl734_359
<=> ! [X90] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X90)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X90)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_359])]) ).
fof(f14370,plain,
( ! [X94,X95] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X94)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X95))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X95))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4886]) ).
fof(f14753,plain,
( ~ spl734_351
| spl734_344
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14386,f7935,f14654,f14685]) ).
fof(f14386,plain,
( ! [X112] :
( sQ733_eqProxy(s(real,X112),s(real,sK216(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X112))))
| ~ sP675(sK217(real,real,realu_le),real,real,realu_le) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6806]) ).
fof(f14752,plain,
( spl734_364
| ~ spl734_365
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14331,f7935,f14749,f14745]) ).
fof(f14745,plain,
( spl734_364
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_le)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_le))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_364])]) ).
fof(f14749,plain,
( spl734_365
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_365])]) ).
fof(f14331,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_inv),s(real,sK216(real,real,realu_le)))))),s(real,i(s(fun(real,real),realu_inv),s(real,sK217(real,real,realu_le)))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4580]) ).
fof(f14743,plain,
( ~ spl734_343
| spl734_362
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14447,f7935,f14735,f14650]) ).
fof(f14447,plain,
( ! [X170] :
( sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X170))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X170)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6088]) ).
fof(f14742,plain,
( ~ spl734_339
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14319,f7935,f14634]) ).
fof(f14319,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4323]) ).
fof(f14741,plain,
( ~ spl734_340
| spl734_358
| spl734_363
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14367,f7935,f14739,f14718,f14639]) ).
fof(f14367,plain,
( ! [X88,X89] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X88)))),s(real,X88))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X89)))),s(real,X89))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X88)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4883]) ).
fof(f14737,plain,
( spl734_362
| ~ spl734_346
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14468,f7935,f14664,f14735]) ).
fof(f14468,plain,
( ! [X209] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| sQ733_eqProxy(s(real,sK216(real,real,realu_le)),s(real,X209))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X209)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6458]) ).
fof(f14733,plain,
( spl734_338
| ~ spl734_361
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14455,f7935,f14730,f14629]) ).
fof(f14730,plain,
( spl734_361
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_361])]) ).
fof(f14455,plain,
( ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6356]) ).
fof(f14728,plain,
( spl734_360
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14469,f7935,f14725]) ).
fof(f14725,plain,
( spl734_360
<=> sQ733_eqProxy(s(real,sK442(real,sK216(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK216(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_360])]) ).
fof(f14469,plain,
( sQ733_eqProxy(s(real,sK442(real,sK216(real,real,realu_le),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK216(real,real,realu_le)))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6483]) ).
fof(f14723,plain,
( ~ spl734_340
| spl734_358
| spl734_359
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14368,f7935,f14721,f14718,f14639]) ).
fof(f14368,plain,
( ! [X90,X91] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X90)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X91)))),s(real,X91))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))),s(real,X90))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4884]) ).
fof(f14716,plain,
( ~ spl734_346
| spl734_344
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14467,f7935,f14654,f14664]) ).
fof(f14467,plain,
( ! [X208] :
( sQ733_eqProxy(s(real,X208),s(real,sK216(real,real,realu_le)))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X208)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6458]) ).
fof(f14715,plain,
( spl734_355
| spl734_356
| spl734_357
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14366,f7935,f14712,f14709,f14706]) ).
fof(f14366,plain,
( ! [X86,X87] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK216(real,real,realu_le)))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X86))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X87)))),s(real,X87)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4427]) ).
fof(f14704,plain,
( spl734_354
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14471,f7935,f14701]) ).
fof(f14701,plain,
( spl734_354
<=> sQ733_eqProxy(s(real,sK523(sK216(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK216(real,real,realu_le))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_354])]) ).
fof(f14471,plain,
( sQ733_eqProxy(s(real,sK523(sK216(real,real,realu_le),real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))),s(real,sK216(real,real,realu_le)))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6601]) ).
fof(f14699,plain,
( ~ spl734_346
| spl734_344
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14465,f7935,f14654,f14664]) ).
fof(f14465,plain,
( ! [X207] :
( sQ733_eqProxy(s(real,X207),s(real,sK216(real,real,realu_le)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X207))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6456]) ).
fof(f14698,plain,
( spl734_353
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14339,f7935,f14695]) ).
fof(f14695,plain,
( spl734_353
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK384(sK217(real,real,realu_le),sK216(real,real,realu_le)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_353])]) ).
fof(f14339,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK384(sK217(real,real,realu_le),sK216(real,real,realu_le))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5123]) ).
fof(f14692,plain,
( spl734_352
| ~ spl734_349
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14351,f7935,f14676,f14690]) ).
fof(f14690,plain,
( spl734_352
<=> ! [X64,X65] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X64))),s(real,X65))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK217(real,real,realu_le)))),s(real,X64))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK216(real,real,realu_le)))),s(real,X65))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X64)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_352])]) ).
fof(f14351,plain,
( ! [X65,X64] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X64))),s(real,X65))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X64))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK217(real,real,realu_le)))),s(real,X64))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK216(real,real,realu_le)))),s(real,X65)))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5669]) ).
fof(f14688,plain,
( ~ spl734_350
| spl734_351
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14385,f7935,f14685,f14681]) ).
fof(f14681,plain,
( spl734_350
<=> sQ733_eqProxy(s(real,sK682(realu_le,real,real,sK217(real,real,realu_le))),s(real,sK681(realu_le,real,real,sK217(real,real,realu_le)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_350])]) ).
fof(f14385,plain,
( sP675(sK217(real,real,realu_le),real,real,realu_le)
| ~ sQ733_eqProxy(s(real,sK682(realu_le,real,real,sK217(real,real,realu_le))),s(real,sK681(realu_le,real,real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6805]) ).
fof(f14679,plain,
( spl734_348
| ~ spl734_349
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14347,f7935,f14676,f14673]) ).
fof(f14673,plain,
( spl734_348
<=> ! [X59] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK217(real,real,realu_le)))),s(num,X59))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK216(real,real,realu_le)))),s(num,X59)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_348])]) ).
fof(f14347,plain,
( ! [X59] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK217(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK217(real,real,realu_le)))),s(num,X59))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK216(real,real,realu_le)))),s(num,X59)))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5448]) ).
fof(f14671,plain,
( spl734_346
| spl734_347
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14416,f7935,f14668,f14664]) ).
fof(f14668,plain,
( spl734_347
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_347])]) ).
fof(f14416,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5181]) ).
fof(f14662,plain,
( ~ spl734_339
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14320,f7935,f14634]) ).
fof(f14320,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4401]) ).
fof(f14661,plain,
( spl734_345
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14390,f7935,f14658]) ).
fof(f14658,plain,
( spl734_345
<=> sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_345])]) ).
fof(f14390,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4343]) ).
fof(f14656,plain,
( ~ spl734_343
| spl734_344
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14446,f7935,f14654,f14650]) ).
fof(f14446,plain,
( ! [X169] :
( sQ733_eqProxy(s(real,X169),s(real,sK216(real,real,realu_le)))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X169)))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f6088]) ).
fof(f14648,plain,
( ~ spl734_340
| spl734_341
| spl734_342
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14372,f7935,f14646,f14643,f14639]) ).
fof(f14372,plain,
( ! [X98,X99] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,X99))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),X98)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK216(real,real,realu_le)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X99))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) )
| ~ spl734_79 ),
inference(resolution,[],[f7937,f4887]) ).
fof(f14637,plain,
( ~ spl734_339
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14344,f7935,f14634]) ).
fof(f14344,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK216(real,real,realu_le)))),s(real,sK217(real,real,realu_le)))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5425]) ).
fof(f14632,plain,
( spl734_337
| spl734_338
| ~ spl734_79 ),
inference(avatar_split_clause,[],[f14412,f7935,f14629,f14625]) ).
fof(f14625,plain,
( spl734_337
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_337])]) ).
fof(f14412,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le))))))))
| ~ spl734_79 ),
inference(resolution,[],[f7937,f5004]) ).
fof(f14314,plain,
( spl734_336
| spl734_23 ),
inference(avatar_split_clause,[],[f14062,f7270,f14311]) ).
fof(f14311,plain,
( spl734_336
<=> sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),sK689(real,real,realu_lt),real)),s(real,sK689(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_336])]) ).
fof(f7270,plain,
( spl734_23
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_23])]) ).
fof(f14062,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),sK689(real,real,realu_lt),real)),s(real,sK689(real,real,realu_lt)))
| spl734_23 ),
inference(resolution,[],[f7272,f6713]) ).
fof(f7272,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt)))))
| spl734_23 ),
inference(avatar_component_clause,[],[f7270]) ).
fof(f14309,plain,
( ~ spl734_335
| spl734_23 ),
inference(avatar_split_clause,[],[f14017,f7270,f14306]) ).
fof(f14306,plain,
( spl734_335
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_335])]) ).
fof(f14017,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4576]) ).
fof(f14304,plain,
( spl734_324
| spl734_23 ),
inference(avatar_split_clause,[],[f13990,f7270,f14245]) ).
fof(f14245,plain,
( spl734_324
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_324])]) ).
fof(f13990,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5118]) ).
fof(f5118,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3089]) ).
fof(f14303,plain,
( ~ spl734_334
| spl734_23 ),
inference(avatar_split_clause,[],[f14018,f7270,f14300]) ).
fof(f14300,plain,
( spl734_334
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_334])]) ).
fof(f14018,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4577]) ).
fof(f14298,plain,
( spl734_333
| spl734_23 ),
inference(avatar_split_clause,[],[f14056,f7270,f14295]) ).
fof(f14295,plain,
( spl734_333
<=> sQ733_eqProxy(s(real,sK256(real,sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))))),s(real,sK689(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_333])]) ).
fof(f14056,plain,
( sQ733_eqProxy(s(real,sK256(real,sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))))),s(real,sK689(real,real,realu_lt)))
| spl734_23 ),
inference(resolution,[],[f7272,f6241]) ).
fof(f14293,plain,
( spl734_320
| spl734_325
| spl734_23 ),
inference(avatar_split_clause,[],[f13995,f7270,f14252,f14226]) ).
fof(f14226,plain,
( spl734_320
<=> sQ733_eqProxy(s(real,sK689(real,real,realu_lt)),s(real,sK690(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_320])]) ).
fof(f14252,plain,
( spl734_325
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_325])]) ).
fof(f13995,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK689(real,real,realu_lt)),s(real,sK690(real,real,realu_lt)))
| spl734_23 ),
inference(resolution,[],[f7272,f5970]) ).
fof(f14292,plain,
( ~ spl734_319
| spl734_328
| spl734_23 ),
inference(avatar_split_clause,[],[f13996,f7270,f14267,f14222]) ).
fof(f14222,plain,
( spl734_319
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_319])]) ).
fof(f14267,plain,
( spl734_328
<=> sQ733_eqProxy(s(real,sK690(real,real,realu_lt)),s(real,sK689(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_328])]) ).
fof(f13996,plain,
( sQ733_eqProxy(s(real,sK690(real,real,realu_lt)),s(real,sK689(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f6004]) ).
fof(f14291,plain,
( spl734_331
| ~ spl734_332
| spl734_23 ),
inference(avatar_split_clause,[],[f13989,f7270,f14288,f14285]) ).
fof(f14285,plain,
( spl734_331
<=> ! [X7] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK690(real,real,realu_lt)))),s(num,X7))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK689(real,real,realu_lt)))),s(num,X7)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_331])]) ).
fof(f14288,plain,
( spl734_332
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK689(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_332])]) ).
fof(f13989,plain,
( ! [X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK689(real,real,realu_lt)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK690(real,real,realu_lt)))),s(num,X7))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK689(real,real,realu_lt)))),s(num,X7)))))) )
| spl734_23 ),
inference(resolution,[],[f7272,f5011]) ).
fof(f5011,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3684]) ).
fof(f3684,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(flattening,[],[f3683]) ).
fof(f3683,plain,
! [X0,X2,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(ennf_transformation,[],[f3207]) ).
fof(f3207,plain,
! [X0,X2,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X2))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1288]) ).
fof(f1288,axiom,
! [X0,X7,X83] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,X83)))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_LT2u_REV) ).
fof(f14282,plain,
( spl734_328
| spl734_325
| spl734_23 ),
inference(avatar_split_clause,[],[f13994,f7270,f14252,f14267]) ).
fof(f13994,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK690(real,real,realu_lt)),s(real,sK689(real,real,realu_lt)))
| spl734_23 ),
inference(resolution,[],[f7272,f5970]) ).
fof(f14281,plain,
( ~ spl734_330
| spl734_23 ),
inference(avatar_split_clause,[],[f13979,f7270,f14278]) ).
fof(f14278,plain,
( spl734_330
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK690(real,real,realu_lt)))))),s(real,sK689(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_330])]) ).
fof(f13979,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK690(real,real,realu_lt)))))),s(real,sK689(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4167]) ).
fof(f4167,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3378]) ).
fof(f14276,plain,
( ~ spl734_329
| ~ spl734_321
| spl734_23 ),
inference(avatar_split_clause,[],[f14007,f7270,f14231,f14273]) ).
fof(f14273,plain,
( spl734_329
<=> sP312(sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_329])]) ).
fof(f14231,plain,
( spl734_321
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK689(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_321])]) ).
fof(f14007,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK689(real,real,realu_lt)))))
| ~ sP312(sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))))
| spl734_23 ),
inference(resolution,[],[f7272,f4920]) ).
fof(f4920,plain,
! [X0,X4] :
( ~ sP312(X4,X0)
| p(s(bool,i(s(fun(real,bool),X0),s(real,X4))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4)))) ),
inference(cnf_transformation,[],[f3619]) ).
fof(f3619,plain,
! [X0] :
( ! [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) )
| ? [X2,X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X3))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X3))))
& ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X2)))) )
| ? [X1] :
( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X1)
& ~ p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))))) ) ),
inference(flattening,[],[f3618]) ).
fof(f3618,plain,
! [X0] :
( ! [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) )
| ? [X2,X3] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X3))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X3)))) )
| ? [X1] :
( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X1)
& ~ p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))))) ) ),
inference(ennf_transformation,[],[f3373]) ).
fof(f3373,plain,
! [X0] :
( ( ! [X2,X3] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X3))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X3)))) )
=> p(s(bool,i(s(fun(real,bool),X0),s(real,X2)))) )
& ! [X1] :
( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X1)
=> p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))))) ) )
=> ! [X4] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
=> p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) ) ),
inference(rectify,[],[f2717]) ).
fof(f2717,axiom,
! [X6] :
( ( ! [X83] :
( s(num,X83) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
=> p(s(bool,i(s(fun(real,bool),X6),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X83)))))))) )
& ! [X25,X86] :
( ( p(s(bool,i(s(fun(real,bool),X6),s(real,X86))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X86))),s(real,X25)))) )
=> p(s(bool,i(s(fun(real,bool),X6),s(real,X25)))) ) )
=> ! [X25] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X25))))
=> p(s(bool,i(s(fun(real,bool),X6),s(real,X25)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_POSu_MONO) ).
fof(f14271,plain,
( spl734_324
| spl734_23 ),
inference(avatar_split_clause,[],[f13988,f7270,f14245]) ).
fof(f13988,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4768]) ).
fof(f4768,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3090]) ).
fof(f3090,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) ),
inference(rectify,[],[f1019]) ).
fof(f1019,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X7))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LETu_TOTAL) ).
fof(f14270,plain,
( spl734_325
| spl734_328
| spl734_23 ),
inference(avatar_split_clause,[],[f13997,f7270,f14267,f14252]) ).
fof(f13997,plain,
( sQ733_eqProxy(s(real,sK690(real,real,realu_lt)),s(real,sK689(real,real,realu_lt)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f6114]) ).
fof(f14265,plain,
( ~ spl734_327
| spl734_23 ),
inference(avatar_split_clause,[],[f14044,f7270,f14262]) ).
fof(f14262,plain,
( spl734_327
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_327])]) ).
fof(f14044,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5640]) ).
fof(f14260,plain,
( ~ spl734_326
| spl734_23 ),
inference(avatar_split_clause,[],[f14022,f7270,f14257]) ).
fof(f14257,plain,
( spl734_326
<=> sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_326])]) ).
fof(f14022,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real)
| spl734_23 ),
inference(resolution,[],[f7272,f4749]) ).
fof(f14255,plain,
( spl734_320
| spl734_325
| spl734_23 ),
inference(avatar_split_clause,[],[f13998,f7270,f14252,f14226]) ).
fof(f13998,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK689(real,real,realu_lt)),s(real,sK690(real,real,realu_lt)))
| spl734_23 ),
inference(resolution,[],[f7272,f6114]) ).
fof(f14250,plain,
( spl734_324
| spl734_23 ),
inference(avatar_split_clause,[],[f13993,f7270,f14245]) ).
fof(f13993,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5340]) ).
fof(f5340,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3088]) ).
fof(f14249,plain,
( spl734_324
| spl734_23 ),
inference(avatar_split_clause,[],[f13985,f7270,f14245]) ).
fof(f13985,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4687]) ).
fof(f4687,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3105]) ).
fof(f3105,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f1018]) ).
fof(f1018,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X7))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTEu_TOTAL) ).
fof(f14248,plain,
( spl734_324
| spl734_23 ),
inference(avatar_split_clause,[],[f13983,f7270,f14245]) ).
fof(f13983,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK689(real,real,realu_lt)))),s(real,sK690(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f4322]) ).
fof(f4322,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3108]) ).
fof(f14243,plain,
( ~ spl734_323
| spl734_23 ),
inference(avatar_split_clause,[],[f14045,f7270,f14240]) ).
fof(f14240,plain,
( spl734_323
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),sK689(real,real,realu_lt),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_323])]) ).
fof(f14045,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),sK689(real,real,realu_lt),real)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5647]) ).
fof(f14238,plain,
( ~ spl734_321
| ~ spl734_322
| spl734_23 ),
inference(avatar_split_clause,[],[f14006,f7270,f14235,f14231]) ).
fof(f14235,plain,
( spl734_322
<=> sP373(sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_322])]) ).
fof(f14006,plain,
( ~ sP373(sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK689(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5055]) ).
fof(f5055,plain,
! [X0,X4] :
( p(s(bool,i(s(fun(real,bool),X0),s(real,X4))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| ~ sP373(X4,X0) ),
inference(cnf_transformation,[],[f4070]) ).
fof(f4070,plain,
! [X0] :
( ! [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) )
| ? [X3] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X3))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))
| ? [X1,X2] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ) ),
inference(flattening,[],[f4069]) ).
fof(f4069,plain,
! [X0] :
( ! [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
| p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) )
| ? [X3] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X3))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))
| ? [X1,X2] :
( ~ p(s(bool,i(s(fun(real,bool),X0),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) ) ),
inference(ennf_transformation,[],[f3367]) ).
fof(f3367,plain,
! [X0] :
( ( ! [X3] : p(s(bool,i(s(fun(real,bool),X0),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X3))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))
& ! [X1,X2] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),X0),s(real,X1)))) )
=> p(s(bool,i(s(fun(real,bool),X0),s(real,X2)))) ) )
=> ! [X4] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X4))))
=> p(s(bool,i(s(fun(real,bool),X0),s(real,X4)))) ) ),
inference(rectify,[],[f2718]) ).
fof(f2718,axiom,
! [X6] :
( ( ! [X86,X25] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X86))),s(real,X25))))
& p(s(bool,i(s(fun(real,bool),X6),s(real,X86)))) )
=> p(s(bool,i(s(fun(real,bool),X6),s(real,X25)))) )
& ! [X83] : p(s(bool,i(s(fun(real,bool),X6),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X83))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))) )
=> ! [X25] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X25))))
=> p(s(bool,i(s(fun(real,bool),X6),s(real,X25)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_POSu_MONOu_1) ).
fof(f14229,plain,
( ~ spl734_319
| spl734_320
| spl734_23 ),
inference(avatar_split_clause,[],[f13999,f7270,f14226,f14222]) ).
fof(f13999,plain,
( sQ733_eqProxy(s(real,sK689(real,real,realu_lt)),s(real,sK690(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt)))))
| spl734_23 ),
inference(resolution,[],[f7272,f6134]) ).
fof(f14220,plain,
( ~ spl734_318
| spl734_23 ),
inference(avatar_split_clause,[],[f14043,f7270,f14217]) ).
fof(f14217,plain,
( spl734_318
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_318])]) ).
fof(f14043,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))),real)))))
| spl734_23 ),
inference(resolution,[],[f7272,f5639]) ).
fof(f14215,plain,
( ~ spl734_317
| spl734_23 ),
inference(avatar_split_clause,[],[f14023,f7270,f14212]) ).
fof(f14212,plain,
( spl734_317
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK256(real,sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_317])]) ).
fof(f14023,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK256(real,sK689(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt))))))))
| spl734_23 ),
inference(resolution,[],[f7272,f4773]) ).
fof(f13978,plain,
( ~ spl734_315
| spl734_316
| spl734_16 ),
inference(avatar_split_clause,[],[f13654,f7227,f13976,f13972]) ).
fof(f13972,plain,
( spl734_315
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK687(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_315])]) ).
fof(f13976,plain,
( spl734_316
<=> ! [X7] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK688(real,real,realu_lt)))),s(num,X7))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK687(real,real,realu_lt)))),s(num,X7)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_316])]) ).
fof(f7227,plain,
( spl734_16
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_16])]) ).
fof(f13654,plain,
( ! [X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK688(real,real,realu_lt)))),s(num,X7))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK687(real,real,realu_lt)))),s(num,X7))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK687(real,real,realu_lt))))) )
| spl734_16 ),
inference(resolution,[],[f7229,f5011]) ).
fof(f7229,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt)))))
| spl734_16 ),
inference(avatar_component_clause,[],[f7227]) ).
fof(f13970,plain,
( ~ spl734_314
| spl734_16 ),
inference(avatar_split_clause,[],[f13708,f7227,f13967]) ).
fof(f13967,plain,
( spl734_314
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_314])]) ).
fof(f13708,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5639]) ).
fof(f13965,plain,
( spl734_303
| ~ spl734_298
| spl734_16 ),
inference(avatar_split_clause,[],[f13664,f7227,f13882,f13906]) ).
fof(f13906,plain,
( spl734_303
<=> sQ733_eqProxy(s(real,sK687(real,real,realu_lt)),s(real,sK688(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_303])]) ).
fof(f13882,plain,
( spl734_298
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_298])]) ).
fof(f13664,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK687(real,real,realu_lt)),s(real,sK688(real,real,realu_lt)))
| spl734_16 ),
inference(resolution,[],[f7229,f6134]) ).
fof(f13964,plain,
( spl734_305
| spl734_16 ),
inference(avatar_split_clause,[],[f13650,f7227,f13916]) ).
fof(f13916,plain,
( spl734_305
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_305])]) ).
fof(f13650,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4687]) ).
fof(f13963,plain,
( spl734_305
| spl734_16 ),
inference(avatar_split_clause,[],[f13653,f7227,f13916]) ).
fof(f13653,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4768]) ).
fof(f13962,plain,
( spl734_305
| spl734_16 ),
inference(avatar_split_clause,[],[f13655,f7227,f13916]) ).
fof(f13655,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5118]) ).
fof(f13961,plain,
( ~ spl734_313
| ~ spl734_312
| spl734_16 ),
inference(avatar_split_clause,[],[f13671,f7227,f13953,f13958]) ).
fof(f13958,plain,
( spl734_313
<=> sP373(sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_313])]) ).
fof(f13953,plain,
( spl734_312
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK687(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_312])]) ).
fof(f13671,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK687(real,real,realu_lt)))))
| ~ sP373(sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))))
| spl734_16 ),
inference(resolution,[],[f7229,f5055]) ).
fof(f13956,plain,
( ~ spl734_311
| ~ spl734_312
| spl734_16 ),
inference(avatar_split_clause,[],[f13672,f7227,f13953,f13949]) ).
fof(f13949,plain,
( spl734_311
<=> sP312(sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_311])]) ).
fof(f13672,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK687(real,real,realu_lt)))))
| ~ sP312(sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))))
| spl734_16 ),
inference(resolution,[],[f7229,f4920]) ).
fof(f13947,plain,
( spl734_310
| spl734_16 ),
inference(avatar_split_clause,[],[f13727,f7227,f13944]) ).
fof(f13944,plain,
( spl734_310
<=> sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),sK687(real,real,realu_lt),real)),s(real,sK687(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_310])]) ).
fof(f13727,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),sK687(real,real,realu_lt),real)),s(real,sK687(real,real,realu_lt)))
| spl734_16 ),
inference(resolution,[],[f7229,f6713]) ).
fof(f13942,plain,
( spl734_303
| spl734_300
| spl734_16 ),
inference(avatar_split_clause,[],[f13663,f7227,f13891,f13906]) ).
fof(f13891,plain,
( spl734_300
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_300])]) ).
fof(f13663,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK687(real,real,realu_lt)),s(real,sK688(real,real,realu_lt)))
| spl734_16 ),
inference(resolution,[],[f7229,f6114]) ).
fof(f13941,plain,
( ~ spl734_309
| spl734_16 ),
inference(avatar_split_clause,[],[f13688,f7227,f13938]) ).
fof(f13938,plain,
( spl734_309
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK256(real,sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_309])]) ).
fof(f13688,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK256(real,sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))))))))
| spl734_16 ),
inference(resolution,[],[f7229,f4773]) ).
fof(f13936,plain,
( ~ spl734_308
| spl734_16 ),
inference(avatar_split_clause,[],[f13687,f7227,f13933]) ).
fof(f13933,plain,
( spl734_308
<=> sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_308])]) ).
fof(f13687,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real)
| spl734_16 ),
inference(resolution,[],[f7229,f4749]) ).
fof(f13931,plain,
( spl734_305
| spl734_16 ),
inference(avatar_split_clause,[],[f13658,f7227,f13916]) ).
fof(f13658,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5340]) ).
fof(f13930,plain,
( ~ spl734_307
| spl734_16 ),
inference(avatar_split_clause,[],[f13709,f7227,f13927]) ).
fof(f13927,plain,
( spl734_307
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_307])]) ).
fof(f13709,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5640]) ).
fof(f13925,plain,
( ~ spl734_306
| spl734_16 ),
inference(avatar_split_clause,[],[f13682,f7227,f13922]) ).
fof(f13922,plain,
( spl734_306
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_306])]) ).
fof(f13682,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4576]) ).
fof(f13920,plain,
( spl734_300
| spl734_299
| spl734_16 ),
inference(avatar_split_clause,[],[f13659,f7227,f13886,f13891]) ).
fof(f13886,plain,
( spl734_299
<=> sQ733_eqProxy(s(real,sK688(real,real,realu_lt)),s(real,sK687(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_299])]) ).
fof(f13659,plain,
( sQ733_eqProxy(s(real,sK688(real,real,realu_lt)),s(real,sK687(real,real,realu_lt)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5970]) ).
fof(f13919,plain,
( spl734_305
| spl734_16 ),
inference(avatar_split_clause,[],[f13648,f7227,f13916]) ).
fof(f13648,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4322]) ).
fof(f13914,plain,
( ~ spl734_304
| spl734_16 ),
inference(avatar_split_clause,[],[f13710,f7227,f13911]) ).
fof(f13911,plain,
( spl734_304
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),sK687(real,real,realu_lt),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_304])]) ).
fof(f13710,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),sK687(real,real,realu_lt),real)))))
| spl734_16 ),
inference(resolution,[],[f7229,f5647]) ).
fof(f13909,plain,
( spl734_303
| spl734_300
| spl734_16 ),
inference(avatar_split_clause,[],[f13660,f7227,f13891,f13906]) ).
fof(f13660,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| sQ733_eqProxy(s(real,sK687(real,real,realu_lt)),s(real,sK688(real,real,realu_lt)))
| spl734_16 ),
inference(resolution,[],[f7229,f5970]) ).
fof(f13904,plain,
( spl734_302
| spl734_16 ),
inference(avatar_split_clause,[],[f13721,f7227,f13901]) ).
fof(f13901,plain,
( spl734_302
<=> sQ733_eqProxy(s(real,sK256(real,sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))))),s(real,sK687(real,real,realu_lt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_302])]) ).
fof(f13721,plain,
( sQ733_eqProxy(s(real,sK256(real,sK687(real,real,realu_lt),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))))),s(real,sK687(real,real,realu_lt)))
| spl734_16 ),
inference(resolution,[],[f7229,f6241]) ).
fof(f13899,plain,
( ~ spl734_301
| spl734_16 ),
inference(avatar_split_clause,[],[f13683,f7227,f13896]) ).
fof(f13896,plain,
( spl734_301
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_301])]) ).
fof(f13683,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt))),real)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4577]) ).
fof(f13894,plain,
( spl734_300
| spl734_299
| spl734_16 ),
inference(avatar_split_clause,[],[f13662,f7227,f13886,f13891]) ).
fof(f13662,plain,
( sQ733_eqProxy(s(real,sK688(real,real,realu_lt)),s(real,sK687(real,real,realu_lt)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK687(real,real,realu_lt)))),s(real,sK688(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f6114]) ).
fof(f13889,plain,
( ~ spl734_298
| spl734_299
| spl734_16 ),
inference(avatar_split_clause,[],[f13661,f7227,f13886,f13882]) ).
fof(f13661,plain,
( sQ733_eqProxy(s(real,sK688(real,real,realu_lt)),s(real,sK687(real,real,realu_lt)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f6004]) ).
fof(f13880,plain,
( ~ spl734_297
| spl734_16 ),
inference(avatar_split_clause,[],[f13644,f7227,f13877]) ).
fof(f13877,plain,
( spl734_297
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK688(real,real,realu_lt)))))),s(real,sK687(real,real,realu_lt))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_297])]) ).
fof(f13644,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,sK688(real,real,realu_lt)))))),s(real,sK687(real,real,realu_lt)))))
| spl734_16 ),
inference(resolution,[],[f7229,f4167]) ).
fof(f13636,plain,
( spl734_197
| ~ spl734_201
| spl734_180 ),
inference(avatar_split_clause,[],[f13631,f9178,f9282,f9260]) ).
fof(f9260,plain,
( spl734_197
<=> ! [X45] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X45)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_197])]) ).
fof(f9282,plain,
( spl734_201
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_201])]) ).
fof(f9178,plain,
( spl734_180
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_180])]) ).
fof(f13631,plain,
( ! [X2] :
( ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X2)))) )
| spl734_180 ),
inference(resolution,[],[f9180,f6087]) ).
fof(f9180,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| spl734_180 ),
inference(avatar_component_clause,[],[f9178]) ).
fof(f13635,plain,
( spl734_202
| spl734_197
| spl734_180 ),
inference(avatar_split_clause,[],[f13629,f9178,f9260,f9287]) ).
fof(f9287,plain,
( spl734_202
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_202])]) ).
fof(f13629,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) )
| spl734_180 ),
inference(resolution,[],[f9180,f4417]) ).
fof(f13634,plain,
( spl734_197
| spl734_214
| spl734_180 ),
inference(avatar_split_clause,[],[f13632,f9178,f9356,f9260]) ).
fof(f9356,plain,
( spl734_214
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_214])]) ).
fof(f13632,plain,
( ! [X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X3)))) )
| spl734_180 ),
inference(resolution,[],[f9180,f4418]) ).
fof(f13624,plain,
( spl734_197
| spl734_225
| spl734_182 ),
inference(avatar_split_clause,[],[f13604,f9186,f9419,f9260]) ).
fof(f9419,plain,
( spl734_225
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_225])]) ).
fof(f9186,plain,
( spl734_182
<=> sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_182])]) ).
fof(f13604,plain,
( ! [X6] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X6)))) )
| spl734_182 ),
inference(resolution,[],[f9188,f5793]) ).
fof(f9188,plain,
( ~ sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| spl734_182 ),
inference(avatar_component_clause,[],[f9186]) ).
fof(f13623,plain,
( spl734_294
| spl734_296
| spl734_182 ),
inference(avatar_split_clause,[],[f13601,f9186,f13621,f13612]) ).
fof(f13612,plain,
( spl734_294
<=> ! [X5] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK679(realu_lt,real,real,X5)))),s(real,i(s(fun(real,real),X5),s(real,sK679(realu_lt,real,real,X5))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_294])]) ).
fof(f13621,plain,
( spl734_296
<=> ! [X2] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,i(s(fun(real,real),sK678(realu_lt,real,real)),s(real,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_296])]) ).
fof(f13601,plain,
( ! [X2,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,i(s(fun(real,real),sK678(realu_lt,real,real)),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK679(realu_lt,real,real,X1)))),s(real,i(s(fun(real,real),X1),s(real,sK679(realu_lt,real,real,X1))))))) )
| spl734_182 ),
inference(resolution,[],[f9188,f5795]) ).
fof(f5795,plain,
! [X2,X3,X0,X1,X9,X7] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,sK679(X0,X1,X2,X3)))),s(X1,i(s(fun(X2,X1),X3),s(X2,sK679(X0,X1,X2,X3)))))))
| sP675(X9,X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X7))),s(X1,i(s(fun(X2,X1),sK678(X0,X1,X2)),s(X2,X7)))))) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f13619,plain,
( spl734_294
| ~ spl734_295
| spl734_182 ),
inference(avatar_split_clause,[],[f13600,f9186,f13616,f13612]) ).
fof(f13616,plain,
( spl734_295
<=> sQ733_eqProxy(s(fun(real,real),sK678(realu_lt,real,real)),s(fun(real,real),sK677(realu_lt,real,real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_295])]) ).
fof(f13600,plain,
( ! [X0] :
( ~ sQ733_eqProxy(s(fun(real,real),sK678(realu_lt,real,real)),s(fun(real,real),sK677(realu_lt,real,real)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK679(realu_lt,real,real,X0)))),s(real,i(s(fun(real,real),X0),s(real,sK679(realu_lt,real,real,X0))))))) )
| spl734_182 ),
inference(resolution,[],[f9188,f6804]) ).
fof(f6804,plain,
! [X2,X3,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,sK679(X0,X1,X2,X3)))),s(X1,i(s(fun(X2,X1),X3),s(X2,sK679(X0,X1,X2,X3)))))))
| sP675(X9,X2,X1,X0)
| ~ sQ733_eqProxy(s(fun(X2,X1),sK678(X0,X1,X2)),s(fun(X2,X1),sK677(X0,X1,X2))) ),
inference(equality_proxy_replacement,[],[f5797,f5956]) ).
fof(f5797,plain,
! [X2,X3,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,sK679(X0,X1,X2,X3)))),s(X1,i(s(fun(X2,X1),X3),s(X2,sK679(X0,X1,X2,X3)))))))
| s(fun(X2,X1),sK678(X0,X1,X2)) != s(fun(X2,X1),sK677(X0,X1,X2))
| sP675(X9,X2,X1,X0) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f13614,plain,
( spl734_293
| spl734_294
| spl734_182 ),
inference(avatar_split_clause,[],[f13603,f9186,f13612,f13609]) ).
fof(f13609,plain,
( spl734_293
<=> ! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,i(s(fun(real,real),sK677(realu_lt,real,real)),s(real,X4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_293])]) ).
fof(f13603,plain,
( ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK679(realu_lt,real,real,X5)))),s(real,i(s(fun(real,real),X5),s(real,sK679(realu_lt,real,real,X5)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,i(s(fun(real,real),sK677(realu_lt,real,real)),s(real,X4)))))) )
| spl734_182 ),
inference(resolution,[],[f9188,f5796]) ).
fof(f5796,plain,
! [X2,X3,X0,X1,X8,X9] :
( sP675(X9,X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,X8))),s(X1,i(s(fun(X2,X1),sK677(X0,X1,X2)),s(X2,X8))))))
| ~ p(s(bool,i(s(fun(X1,bool),i(s(fun(X2,fun(X1,bool)),X0),s(X2,sK679(X0,X1,X2,X3)))),s(X1,i(s(fun(X2,X1),X3),s(X2,sK679(X0,X1,X2,X3))))))) ),
inference(cnf_transformation,[],[f3808]) ).
fof(f13607,plain,
( spl734_213
| spl734_197
| spl734_182 ),
inference(avatar_split_clause,[],[f13602,f9186,f9260,f9351]) ).
fof(f9351,plain,
( spl734_213
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_213])]) ).
fof(f13602,plain,
( ! [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X3))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) )
| spl734_182 ),
inference(resolution,[],[f9188,f5794]) ).
fof(f13606,plain,
( ~ spl734_223
| spl734_197
| spl734_182 ),
inference(avatar_split_clause,[],[f13605,f9186,f9260,f9407]) ).
fof(f9407,plain,
( spl734_223
<=> sQ733_eqProxy(s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_223])]) ).
fof(f13605,plain,
( ! [X7] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X7))))
| ~ sQ733_eqProxy(s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) )
| spl734_182 ),
inference(resolution,[],[f9188,f6805]) ).
fof(f13599,plain,
( spl734_291
| ~ spl734_292
| spl734_1 ),
inference(avatar_split_clause,[],[f13587,f6917,f13596,f13593]) ).
fof(f13593,plain,
( spl734_291
<=> ! [X0] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,sK648(real,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_291])]) ).
fof(f13596,plain,
( spl734_292
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK649(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_292])]) ).
fof(f6917,plain,
( spl734_1
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_1])]) ).
fof(f13587,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK649(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),X0),s(real,sK648(real,X0))))) )
| spl734_1 ),
inference(resolution,[],[f12700,f5695]) ).
fof(f5695,plain,
! [X2,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,sK648(X0,X2)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK649(X0,X1)))))
| sP647(X5,X2,X1,X0) ),
inference(cnf_transformation,[],[f3063]) ).
fof(f3063,plain,
! [X1,X2,X0] :
( ! [X5] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X5))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) )
<=> ( ! [X4] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
& ! [X3] : p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3)))) ) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X6,X4] :
( ( ! [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
& ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> ! [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_ANDu_THM) ).
fof(f12700,plain,
( ! [X55] : ~ sP647(a0,X55,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| spl734_1 ),
inference(resolution,[],[f6919,f5691]) ).
fof(f5691,plain,
! [X2,X0,X1,X5] :
( ~ sP647(X5,X2,X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ),
inference(cnf_transformation,[],[f3063]) ).
fof(f6919,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_1 ),
inference(avatar_component_clause,[],[f6917]) ).
fof(f13591,plain,
( spl734_1
| ~ spl734_289 ),
inference(avatar_contradiction_clause,[],[f13590]) ).
fof(f13590,plain,
( $false
| spl734_1
| ~ spl734_289 ),
inference(subsumption_resolution,[],[f13589,f13578]) ).
fof(f13578,plain,
( ! [X1] : p(s(bool,X1))
| ~ spl734_289 ),
inference(avatar_component_clause,[],[f13577]) ).
fof(f13589,plain,
( ! [X0] : ~ p(s(bool,i(s(fun(real,bool),X0),s(real,sK648(real,X0)))))
| spl734_1
| ~ spl734_289 ),
inference(subsumption_resolution,[],[f13587,f13578]) ).
fof(f13586,plain,
( ~ spl734_290
| spl734_289
| spl734_1 ),
inference(avatar_split_clause,[],[f13580,f6917,f13577,f13583]) ).
fof(f13583,plain,
( spl734_290
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK536(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_290])]) ).
fof(f13580,plain,
( ! [X0] :
( p(s(bool,X0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK536(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) )
| spl734_1 ),
inference(resolution,[],[f12694,f5474]) ).
fof(f5474,plain,
! [X2,X3,X0,X1] :
( ~ sP535(X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK536(X0,X1)))))
| p(s(bool,X2)) ),
inference(cnf_transformation,[],[f4047]) ).
fof(f4047,plain,
! [X1,X2,X0] :
( ? [X3] :
( ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
| p(s(bool,X2)) )
<=> ( p(s(bool,X2))
| ? [X4] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) ) ),
inference(ennf_transformation,[],[f3078]) ).
fof(f3078,plain,
! [X2,X0,X1] :
( ( ! [X4] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
=> p(s(bool,X2)) )
<=> ? [X3] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
=> p(s(bool,X2)) ) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X6,X3,X4] :
( ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
=> p(s(bool,X4)) )
<=> ( ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
=> p(s(bool,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEFTu_IMPu_FORALLu_THM) ).
fof(f12694,plain,
( ! [X52] : sP535(a0,X52,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5472]) ).
fof(f5472,plain,
! [X2,X3,X0,X1] :
( sP535(X3,X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(cnf_transformation,[],[f4047]) ).
fof(f13579,plain,
( ~ spl734_288
| spl734_289
| spl734_1 ),
inference(avatar_split_clause,[],[f13571,f6917,f13577,f13573]) ).
fof(f13573,plain,
( spl734_288
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK507(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_288])]) ).
fof(f13571,plain,
( ! [X1] :
( p(s(bool,X1))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK507(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| spl734_1 ),
inference(resolution,[],[f12690,f5389]) ).
fof(f5389,plain,
! [X2,X3,X0,X1] :
( ~ sP506(X3,X2,X1,X0)
| p(s(bool,X0))
| ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,sK507(X1,X2))))) ),
inference(cnf_transformation,[],[f3794]) ).
fof(f3794,plain,
! [X1,X0,X2] :
( ? [X3] :
( ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3))))
| p(s(bool,X0)) )
<=> ( p(s(bool,X0))
| ? [X4] : ~ p(s(bool,i(s(fun(X1,bool),X2),s(X1,X4)))) ) ),
inference(ennf_transformation,[],[f3035]) ).
fof(f3035,plain,
! [X2,X1,X0] :
( ( ! [X4] : p(s(bool,i(s(fun(X1,bool),X2),s(X1,X4))))
=> p(s(bool,X0)) )
<=> ? [X3] :
( p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3))))
=> p(s(bool,X0)) ) ),
inference(rectify,[],[f113]) ).
fof(f113,axiom,
! [X4,X3,X6] :
( ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
=> p(s(bool,X4)) )
<=> ( ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
=> p(s(bool,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEFTu_EXISTSu_IMPu_THM) ).
fof(f12690,plain,
( ! [X48] : sP506(a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real,X48)
| spl734_1 ),
inference(resolution,[],[f6919,f5387]) ).
fof(f5387,plain,
! [X2,X3,X0,X1] :
( sP506(X3,X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3)))) ),
inference(cnf_transformation,[],[f3794]) ).
fof(f13564,plain,
( ~ spl734_286
| spl734_287
| spl734_1 ),
inference(avatar_split_clause,[],[f13556,f6917,f13562,f13558]) ).
fof(f13558,plain,
( spl734_286
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK724(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_286])]) ).
fof(f13562,plain,
( spl734_287
<=> ! [X1] : ~ p(s(bool,i(s(fun(real,bool),X1),s(real,sK723(real,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_287])]) ).
fof(f13556,plain,
( ! [X1] :
( ~ p(s(bool,i(s(fun(real,bool),X1),s(real,sK723(real,X1)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK724(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| spl734_1 ),
inference(resolution,[],[f12709,f5912]) ).
fof(f5912,plain,
! [X2,X0,X1] :
( sP722(X2,X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,sK723(X0,X2)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK724(X0,X1))))) ),
inference(cnf_transformation,[],[f3081]) ).
fof(f3081,plain,
! [X1,X2,X0] :
( ( ! [X4] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
& ! [X3] : p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3)))) )
<=> ! [X5] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X5))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X3,X4,X6] :
( ( ! [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) )
<=> ! [X0] :
( p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aANDu_FORALLu_THM) ).
fof(f12709,plain,
( ! [X64] : ~ sP722(X64,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| spl734_1 ),
inference(resolution,[],[f6919,f5914]) ).
fof(f5914,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ sP722(X2,X1,X0) ),
inference(cnf_transformation,[],[f3081]) ).
fof(f13554,plain,
( ~ spl734_284
| spl734_285
| spl734_1 ),
inference(avatar_split_clause,[],[f13546,f6917,f13552,f13548]) ).
fof(f13548,plain,
( spl734_284
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK723(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_284])]) ).
fof(f13552,plain,
( spl734_285
<=> ! [X1] : ~ p(s(bool,i(s(fun(real,bool),X1),s(real,sK724(real,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_285])]) ).
fof(f13546,plain,
( ! [X1] :
( ~ p(s(bool,i(s(fun(real,bool),X1),s(real,sK724(real,X1)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK723(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| spl734_1 ),
inference(resolution,[],[f12708,f5912]) ).
fof(f12708,plain,
( ! [X63] : ~ sP722(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X63,real)
| spl734_1 ),
inference(resolution,[],[f6919,f5913]) ).
fof(f5913,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3))))
| ~ sP722(X2,X1,X0) ),
inference(cnf_transformation,[],[f3081]) ).
fof(f13540,plain,
( spl734_283
| ~ spl734_180 ),
inference(avatar_split_clause,[],[f13529,f9178,f13537]) ).
fof(f13537,plain,
( spl734_283
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK108(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_283])]) ).
fof(f13529,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK108(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_180 ),
inference(resolution,[],[f9179,f4420]) ).
fof(f9179,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ spl734_180 ),
inference(avatar_component_clause,[],[f9178]) ).
fof(f13535,plain,
( spl734_282
| ~ spl734_180 ),
inference(avatar_split_clause,[],[f13527,f9178,f13532]) ).
fof(f13532,plain,
( spl734_282
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_282])]) ).
fof(f13527,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_180 ),
inference(resolution,[],[f9179,f4415]) ).
fof(f13367,plain,
( spl734_279
| ~ spl734_281
| spl734_58 ),
inference(avatar_split_clause,[],[f13346,f7819,f13364,f13356]) ).
fof(f13356,plain,
( spl734_279
<=> ! [X5] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK679(realu_le,real,real,X5)))),s(real,i(s(fun(real,real),X5),s(real,sK679(realu_le,real,real,X5))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_279])]) ).
fof(f13364,plain,
( spl734_281
<=> sQ733_eqProxy(s(fun(real,real),sK678(realu_le,real,real)),s(fun(real,real),sK677(realu_le,real,real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_281])]) ).
fof(f7819,plain,
( spl734_58
<=> sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_58])]) ).
fof(f13346,plain,
( ! [X0] :
( ~ sQ733_eqProxy(s(fun(real,real),sK678(realu_le,real,real)),s(fun(real,real),sK677(realu_le,real,real)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK679(realu_le,real,real,X0)))),s(real,i(s(fun(real,real),X0),s(real,sK679(realu_le,real,real,X0))))))) )
| spl734_58 ),
inference(resolution,[],[f7821,f6804]) ).
fof(f7821,plain,
( ~ sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| spl734_58 ),
inference(avatar_component_clause,[],[f7819]) ).
fof(f13362,plain,
( spl734_280
| spl734_279
| spl734_58 ),
inference(avatar_split_clause,[],[f13347,f7819,f13356,f13360]) ).
fof(f13360,plain,
( spl734_280
<=> ! [X2] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,i(s(fun(real,real),sK678(realu_le,real,real)),s(real,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_280])]) ).
fof(f13347,plain,
( ! [X2,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK679(realu_le,real,real,X1)))),s(real,i(s(fun(real,real),X1),s(real,sK679(realu_le,real,real,X1)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,i(s(fun(real,real),sK678(realu_le,real,real)),s(real,X2)))))) )
| spl734_58 ),
inference(resolution,[],[f7821,f5795]) ).
fof(f13358,plain,
( spl734_278
| spl734_279
| spl734_58 ),
inference(avatar_split_clause,[],[f13349,f7819,f13356,f13353]) ).
fof(f13353,plain,
( spl734_278
<=> ! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,i(s(fun(real,real),sK677(realu_le,real,real)),s(real,X4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_278])]) ).
fof(f13349,plain,
( ! [X4,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK679(realu_le,real,real,X5)))),s(real,i(s(fun(real,real),X5),s(real,sK679(realu_le,real,real,X5)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X4))),s(real,i(s(fun(real,real),sK677(realu_le,real,real)),s(real,X4)))))) )
| spl734_58 ),
inference(resolution,[],[f7821,f5796]) ).
fof(f13341,plain,
( ~ spl734_277
| ~ spl734_276
| spl734_274 ),
inference(avatar_split_clause,[],[f13327,f13320,f13333,f13338]) ).
fof(f13338,plain,
( spl734_277
<=> sQ733_eqProxy(s(cart(real,sK290),sK702(cart(real,sK290),real,vectoru_norm)),s(cart(real,sK290),sK703(cart(real,sK290),real,vectoru_norm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_277])]) ).
fof(f13333,plain,
( spl734_276
<=> sP706(sK704(cart(real,sK290),real,vectoru_norm),vectoru_norm,real,cart(real,sK290)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_276])]) ).
fof(f13320,plain,
( spl734_274
<=> sP701(vectoru_norm,real,cart(real,sK290)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_274])]) ).
fof(f13327,plain,
( ~ sP706(sK704(cart(real,sK290),real,vectoru_norm),vectoru_norm,real,cart(real,sK290))
| ~ sQ733_eqProxy(s(cart(real,sK290),sK702(cart(real,sK290),real,vectoru_norm)),s(cart(real,sK290),sK703(cart(real,sK290),real,vectoru_norm)))
| spl734_274 ),
inference(resolution,[],[f13322,f6847]) ).
fof(f6847,plain,
! [X2,X0,X1] :
( ~ sP706(sK704(X0,X1,X2),X2,X1,X0)
| ~ sQ733_eqProxy(s(X0,sK702(X0,X1,X2)),s(X0,sK703(X0,X1,X2)))
| sP701(X2,X1,X0) ),
inference(equality_proxy_replacement,[],[f5873,f5956]) ).
fof(f5873,plain,
! [X2,X0,X1] :
( sP701(X2,X1,X0)
| s(X0,sK702(X0,X1,X2)) != s(X0,sK703(X0,X1,X2))
| ~ sP706(sK704(X0,X1,X2),X2,X1,X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f13322,plain,
( ~ sP701(vectoru_norm,real,cart(real,sK290))
| spl734_274 ),
inference(avatar_component_clause,[],[f13320]) ).
fof(f13336,plain,
( spl734_275
| ~ spl734_276
| spl734_274 ),
inference(avatar_split_clause,[],[f13325,f13320,f13333,f13329]) ).
fof(f13329,plain,
( spl734_275
<=> sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK702(cart(real,sK290),real,vectoru_norm)))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK703(cart(real,sK290),real,vectoru_norm))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_275])]) ).
fof(f13325,plain,
( ~ sP706(sK704(cart(real,sK290),real,vectoru_norm),vectoru_norm,real,cart(real,sK290))
| sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK702(cart(real,sK290),real,vectoru_norm)))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK703(cart(real,sK290),real,vectoru_norm)))))
| spl734_274 ),
inference(resolution,[],[f13322,f6848]) ).
fof(f6848,plain,
! [X2,X0,X1] :
( ~ sP706(sK704(X0,X1,X2),X2,X1,X0)
| sP701(X2,X1,X0)
| sQ733_eqProxy(s(X1,i(s(fun(X0,X1),X2),s(X0,sK702(X0,X1,X2)))),s(X1,i(s(fun(X0,X1),X2),s(X0,sK703(X0,X1,X2))))) ),
inference(equality_proxy_replacement,[],[f5872,f5956]) ).
fof(f5872,plain,
! [X2,X0,X1] :
( sP701(X2,X1,X0)
| s(X1,i(s(fun(X0,X1),X2),s(X0,sK702(X0,X1,X2)))) = s(X1,i(s(fun(X0,X1),X2),s(X0,sK703(X0,X1,X2))))
| ~ sP706(sK704(X0,X1,X2),X2,X1,X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f13323,plain,
( ~ spl734_274
| spl734_172 ),
inference(avatar_split_clause,[],[f13317,f8830,f13320]) ).
fof(f8830,plain,
( spl734_172
<=> sP706(a0,vectoru_norm,real,cart(real,sK290)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_172])]) ).
fof(f13317,plain,
( ~ sP701(vectoru_norm,real,cart(real,sK290))
| spl734_172 ),
inference(resolution,[],[f8831,f5874]) ).
fof(f5874,plain,
! [X2,X3,X0,X1] :
( sP706(X3,X2,X1,X0)
| ~ sP701(X2,X1,X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f8831,plain,
( ~ sP706(a0,vectoru_norm,real,cart(real,sK290))
| spl734_172 ),
inference(avatar_component_clause,[],[f8830]) ).
fof(f13315,plain,
( spl734_273
| ~ spl734_182 ),
inference(avatar_split_clause,[],[f13310,f9186,f13312]) ).
fof(f13312,plain,
( spl734_273
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK680(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_273])]) ).
fof(f13310,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK680(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| ~ spl734_182 ),
inference(resolution,[],[f9187,f5799]) ).
fof(f9187,plain,
( sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_182 ),
inference(avatar_component_clause,[],[f9186]) ).
fof(f12631,plain,
( ~ spl734_2
| spl734_272
| spl734_6 ),
inference(avatar_split_clause,[],[f12627,f7176,f12629,f6921]) ).
fof(f12629,plain,
( spl734_272
<=> ! [X11] :
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_272])]) ).
fof(f7176,plain,
( spl734_6
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_6])]) ).
fof(f12627,plain,
( ! [X11] :
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
| spl734_6 ),
inference(subsumption_resolution,[],[f10282,f4434]) ).
fof(f4434,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))),
inference(cnf_transformation,[],[f2925]) ).
fof(f2925,plain,
! [X1,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))),
inference(rectify,[],[f2846]) ).
fof(f2846,axiom,
! [X1015,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1015),real),vectoru_norm),s(cart(real,X1015),X0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_POSu_LE) ).
fof(f10282,plain,
( ! [X11] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
| spl734_6 ),
inference(resolution,[],[f7177,f6567]) ).
fof(f7177,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| spl734_6 ),
inference(avatar_component_clause,[],[f7176]) ).
fof(f12626,plain,
( spl734_7
| spl734_1
| spl734_6 ),
inference(avatar_split_clause,[],[f10272,f7176,f6917,f7181]) ).
fof(f7181,plain,
( spl734_7
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_7])]) ).
fof(f10272,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_6 ),
inference(resolution,[],[f7177,f5970]) ).
fof(f12625,plain,
( spl734_1
| spl734_7
| spl734_4 ),
inference(avatar_split_clause,[],[f10209,f7167,f7181,f6917]) ).
fof(f7167,plain,
( spl734_4
<=> sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_4])]) ).
fof(f10209,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f5970]) ).
fof(f7168,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0))
| spl734_4 ),
inference(avatar_component_clause,[],[f7167]) ).
fof(f12624,plain,
( ~ spl734_8
| spl734_7
| spl734_6 ),
inference(avatar_split_clause,[],[f10273,f7176,f7181,f7186]) ).
fof(f7186,plain,
( spl734_8
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_8])]) ).
fof(f10273,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_6 ),
inference(resolution,[],[f7177,f6004]) ).
fof(f12623,plain,
( spl734_271
| spl734_2 ),
inference(avatar_split_clause,[],[f12374,f6921,f12620]) ).
fof(f12620,plain,
( spl734_271
<=> sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_271])]) ).
fof(f12374,plain,
( sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0))
| spl734_2 ),
inference(resolution,[],[f6923,f6241]) ).
fof(f6923,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_2 ),
inference(avatar_component_clause,[],[f6921]) ).
fof(f12618,plain,
( spl734_2
| ~ spl734_46 ),
inference(avatar_contradiction_clause,[],[f12617]) ).
fof(f12617,plain,
( $false
| spl734_2
| ~ spl734_46 ),
inference(subsumption_resolution,[],[f12309,f7763]) ).
fof(f7763,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0))))
| ~ spl734_46 ),
inference(avatar_component_clause,[],[f7761]) ).
fof(f7761,plain,
( spl734_46
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_46])]) ).
fof(f12309,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f5596]) ).
fof(f12616,plain,
( spl734_2
| ~ spl734_14 ),
inference(avatar_contradiction_clause,[],[f12615]) ).
fof(f12615,plain,
( $false
| spl734_2
| ~ spl734_14 ),
inference(subsumption_resolution,[],[f12306,f7217]) ).
fof(f7217,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ spl734_14 ),
inference(avatar_component_clause,[],[f7216]) ).
fof(f7216,plain,
( spl734_14
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_14])]) ).
fof(f12306,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f5345]) ).
fof(f12614,plain,
( spl734_2
| ~ spl734_14 ),
inference(avatar_contradiction_clause,[],[f12613]) ).
fof(f12613,plain,
( $false
| spl734_2
| ~ spl734_14 ),
inference(subsumption_resolution,[],[f12299,f7217]) ).
fof(f12299,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f4553]) ).
fof(f12612,plain,
( spl734_2
| ~ spl734_14 ),
inference(avatar_contradiction_clause,[],[f12611]) ).
fof(f12611,plain,
( $false
| spl734_2
| ~ spl734_14 ),
inference(subsumption_resolution,[],[f12293,f7217]) ).
fof(f12293,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f4224]) ).
fof(f12609,plain,
( spl734_2
| spl734_38 ),
inference(avatar_contradiction_clause,[],[f12608]) ).
fof(f12608,plain,
( $false
| spl734_2
| spl734_38 ),
inference(subsumption_resolution,[],[f12300,f7726]) ).
fof(f7726,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_38 ),
inference(avatar_component_clause,[],[f7724]) ).
fof(f7724,plain,
( spl734_38
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_38])]) ).
fof(f12300,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f4687]) ).
fof(f12607,plain,
( ~ spl734_270
| spl734_2 ),
inference(avatar_split_clause,[],[f12335,f6921,f12604]) ).
fof(f12604,plain,
( spl734_270
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_270])]) ).
fof(f12335,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| spl734_2 ),
inference(resolution,[],[f6923,f4576]) ).
fof(f12602,plain,
( ~ spl734_269
| spl734_2 ),
inference(avatar_split_clause,[],[f12340,f6921,f12599]) ).
fof(f12599,plain,
( spl734_269
<=> sP251(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_269])]) ).
fof(f12340,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| spl734_2 ),
inference(resolution,[],[f6923,f4749]) ).
fof(f12597,plain,
( ~ spl734_268
| spl734_2 ),
inference(avatar_split_clause,[],[f12362,f6921,f12594]) ).
fof(f12594,plain,
( spl734_268
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_268])]) ).
fof(f12362,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| spl734_2 ),
inference(resolution,[],[f6923,f5640]) ).
fof(f12592,plain,
( ~ spl734_267
| spl734_2 ),
inference(avatar_split_clause,[],[f12336,f6921,f12589]) ).
fof(f12589,plain,
( spl734_267
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_267])]) ).
fof(f12336,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| spl734_2 ),
inference(resolution,[],[f6923,f4577]) ).
fof(f12587,plain,
( ~ spl734_266
| spl734_2 ),
inference(avatar_split_clause,[],[f12323,f6921,f12584]) ).
fof(f12323,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK688(real,real,realu_le)))),s(real,sK687(real,real,realu_le)))))
| spl734_2 ),
inference(resolution,[],[f6923,f5814]) ).
fof(f12582,plain,
( spl734_2
| spl734_38 ),
inference(avatar_contradiction_clause,[],[f12581]) ).
fof(f12581,plain,
( $false
| spl734_2
| spl734_38 ),
inference(subsumption_resolution,[],[f12301,f7726]) ).
fof(f12301,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f4768]) ).
fof(f12580,plain,
( spl734_2
| ~ spl734_46 ),
inference(avatar_contradiction_clause,[],[f12579]) ).
fof(f12579,plain,
( $false
| spl734_2
| ~ spl734_46 ),
inference(subsumption_resolution,[],[f12311,f7763]) ).
fof(f12311,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f5807]) ).
fof(f12578,plain,
( spl734_265
| spl734_2 ),
inference(avatar_split_clause,[],[f12289,f6921,f12575]) ).
fof(f12575,plain,
( spl734_265
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_265])]) ).
fof(f12289,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))))
| spl734_2 ),
inference(resolution,[],[f6923,f4311]) ).
fof(f4311,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f1038]) ).
fof(f1038,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_NEGTOTAL) ).
fof(f12573,plain,
( ~ spl734_264
| spl734_2 ),
inference(avatar_split_clause,[],[f12341,f6921,f12570]) ).
fof(f12570,plain,
( spl734_264
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_264])]) ).
fof(f12341,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f4773]) ).
fof(f12568,plain,
( ~ spl734_263
| spl734_2
| ~ spl734_14 ),
inference(avatar_split_clause,[],[f12563,f7216,f6921,f12565]) ).
fof(f12565,plain,
( spl734_263
<=> sP312(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_263])]) ).
fof(f12563,plain,
( ~ sP312(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| spl734_2
| ~ spl734_14 ),
inference(subsumption_resolution,[],[f12325,f7217]) ).
fof(f12325,plain,
( ~ sP312(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_2 ),
inference(resolution,[],[f6923,f4920]) ).
fof(f12562,plain,
( ~ spl734_262
| spl734_2 ),
inference(avatar_split_clause,[],[f12363,f6921,f12559]) ).
fof(f12559,plain,
( spl734_262
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_262])]) ).
fof(f12363,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),a0,real)))))
| spl734_2 ),
inference(resolution,[],[f6923,f5647]) ).
fof(f12557,plain,
( ~ spl734_261
| spl734_2
| ~ spl734_14 ),
inference(avatar_split_clause,[],[f12552,f7216,f6921,f12554]) ).
fof(f12554,plain,
( spl734_261
<=> sP373(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_261])]) ).
fof(f12552,plain,
( ~ sP373(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| spl734_2
| ~ spl734_14 ),
inference(subsumption_resolution,[],[f12324,f7217]) ).
fof(f12324,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sP373(a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| spl734_2 ),
inference(resolution,[],[f6923,f5055]) ).
fof(f12551,plain,
( ~ spl734_260
| spl734_2 ),
inference(avatar_split_clause,[],[f12318,f6921,f12548]) ).
fof(f12318,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK690(real,real,realu_le)))),s(real,sK689(real,real,realu_le)))))
| spl734_2 ),
inference(resolution,[],[f6923,f5813]) ).
fof(f12546,plain,
( spl734_2
| spl734_38 ),
inference(avatar_contradiction_clause,[],[f12545]) ).
fof(f12545,plain,
( $false
| spl734_2
| spl734_38 ),
inference(subsumption_resolution,[],[f12294,f7726]) ).
fof(f12294,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f4322]) ).
fof(f12544,plain,
( spl734_259
| spl734_2 ),
inference(avatar_split_clause,[],[f12380,f6921,f12541]) ).
fof(f12541,plain,
( spl734_259
<=> sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),a0,real)),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_259])]) ).
fof(f12380,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),a0,real)),s(real,a0))
| spl734_2 ),
inference(resolution,[],[f6923,f6713]) ).
fof(f12539,plain,
( spl734_2
| ~ spl734_49 ),
inference(avatar_contradiction_clause,[],[f12538]) ).
fof(f12538,plain,
( $false
| spl734_2
| ~ spl734_49 ),
inference(subsumption_resolution,[],[f12288,f7776]) ).
fof(f7776,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_49 ),
inference(avatar_component_clause,[],[f7774]) ).
fof(f7774,plain,
( spl734_49
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_49])]) ).
fof(f12288,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f6905]) ).
fof(f6905,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(equality_proxy_replacement,[],[f5950,f5956]) ).
fof(f5950,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) != s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ),
inference(cnf_transformation,[],[f2828]) ).
fof(f2828,axiom,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_POW2) ).
fof(f12537,plain,
( spl734_2
| spl734_38 ),
inference(avatar_contradiction_clause,[],[f12536]) ).
fof(f12536,plain,
( $false
| spl734_2
| spl734_38 ),
inference(subsumption_resolution,[],[f12305,f7726]) ).
fof(f12305,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f5340]) ).
fof(f12535,plain,
( ~ spl734_258
| spl734_2 ),
inference(avatar_split_clause,[],[f12361,f6921,f12532]) ).
fof(f12532,plain,
( spl734_258
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_258])]) ).
fof(f12361,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| spl734_2 ),
inference(resolution,[],[f6923,f5639]) ).
fof(f12530,plain,
( spl734_2
| spl734_38 ),
inference(avatar_contradiction_clause,[],[f12529]) ).
fof(f12529,plain,
( $false
| spl734_2
| spl734_38 ),
inference(subsumption_resolution,[],[f12302,f7726]) ).
fof(f12302,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| spl734_2 ),
inference(resolution,[],[f6923,f5118]) ).
fof(f11969,plain,
( spl734_257
| ~ spl734_2
| spl734_4 ),
inference(avatar_split_clause,[],[f11965,f7167,f6921,f11967]) ).
fof(f11967,plain,
( spl734_257
<=> ! [X11] :
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_257])]) ).
fof(f11965,plain,
( ! [X11] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11)) )
| spl734_4 ),
inference(subsumption_resolution,[],[f10219,f4434]) ).
fof(f10219,plain,
( ! [X11] :
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X11))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(num,X11))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X11))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
| spl734_4 ),
inference(resolution,[],[f7168,f6567]) ).
fof(f11964,plain,
( ~ spl734_5
| ~ spl734_8
| spl734_4 ),
inference(avatar_split_clause,[],[f10228,f7167,f7186,f7171]) ).
fof(f10228,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f6890]) ).
fof(f11963,plain,
( spl734_7
| spl734_1
| spl734_4 ),
inference(avatar_split_clause,[],[f10213,f7167,f6917,f7181]) ).
fof(f10213,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_4 ),
inference(resolution,[],[f7168,f6114]) ).
fof(f11962,plain,
( ~ spl734_5
| spl734_1
| spl734_6 ),
inference(avatar_split_clause,[],[f10277,f7176,f6917,f7171]) ).
fof(f10277,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_6 ),
inference(resolution,[],[f7177,f6134]) ).
fof(f11961,plain,
( ~ spl734_8
| spl734_7
| spl734_4 ),
inference(avatar_split_clause,[],[f10214,f7167,f7181,f7186]) ).
fof(f10214,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_4 ),
inference(resolution,[],[f7168,f6134]) ).
fof(f11960,plain,
( ~ spl734_5
| spl734_1
| spl734_4 ),
inference(avatar_split_clause,[],[f10210,f7167,f6917,f7171]) ).
fof(f10210,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f6004]) ).
fof(f11959,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11958]) ).
fof(f11958,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11957,f10609]) ).
fof(f10609,plain,
( ! [X0] : ~ p(s(bool,X0))
| ~ spl734_251 ),
inference(avatar_component_clause,[],[f10608]) ).
fof(f11957,plain,
( ! [X2596] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X2596))))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11408,f11272]) ).
fof(f11272,plain,
( ! [X2258,X2259] : ~ sQ733_eqProxy(s(real,X2258),s(real,X2259))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6051]) ).
fof(f11408,plain,
( ! [X2596] :
( sQ733_eqProxy(s(real,X2596),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X2596)))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6044]) ).
fof(f6044,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f4321,f5956]) ).
fof(f4321,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0))))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f1077]) ).
fof(f1077,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_NEGTOTAL) ).
fof(f11956,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11955]) ).
fof(f11955,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11374,f10609]) ).
fof(f11374,plain,
( ! [X2505,X2503,X2504] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK128(X2503,X2504,X2505)))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4456]) ).
fof(f4456,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK128(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3774]) ).
fof(f3774,plain,
! [X2,X0,X1] :
( ? [X3] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X0))),s(num,X3))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X1))),s(num,X3))))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1)))))) ),
inference(flattening,[],[f3773]) ).
fof(f3773,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))))
| ? [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X0))),s(num,X3))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X1))),s(num,X3))))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3)))) ) ),
inference(ennf_transformation,[],[f2915]) ).
fof(f2915,plain,
! [X2,X0,X1] :
( ! [X3] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X0))),s(num,X3))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X2),fun(num,real)),d_),s(cart(real,X2),X1))),s(num,X3)))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1)))))) ),
inference(rectify,[],[f2878]) ).
fof(f2878,axiom,
! [X0,X7,X732] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(fun(X732,bool),num),dimindex),s(fun(X732,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X732),fun(num,real)),d_),s(cart(real,X732),X0))),s(num,X81))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,X732),fun(num,real)),d_),s(cart(real,X732),X7))),s(num,X81)))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X7)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LEu_COMPONENTWISE) ).
fof(f11954,plain,
( ~ spl734_256
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11953,f10608,f11926]) ).
fof(f11926,plain,
( spl734_256
<=> sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_256])]) ).
fof(f11953,plain,
( ~ sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11399,f10609]) ).
fof(f11399,plain,
( ! [X2577,X2576] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X2576))),s(real,X2577))))
| ~ sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6535]) ).
fof(f6535,plain,
! [X4,X5] :
( ~ sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK488))),s(real,sK489))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X5))),s(real,X4)))) ),
inference(equality_proxy_replacement,[],[f5344,f5956]) ).
fof(f5344,plain,
! [X4,X5] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK488))),s(real,sK489))))
| s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))) != s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X5))),s(real,X4)))) ),
inference(cnf_transformation,[],[f4012]) ).
fof(f4012,plain,
( ! [X4,X5] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X5))),s(real,X4))))
| ? [X3,X2] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X3))),s(real,X2))) != s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X2))),s(real,X3)))
| ? [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X1))),s(real,X0)))) ) ),
inference(flattening,[],[f4011]) ).
fof(f4011,plain,
( ! [X4,X5] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X5))),s(real,X4))))
| ? [X3,X2] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X3))),s(real,X2))) != s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X2))),s(real,X3)))
| ? [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X1))),s(real,X0)))) ) ),
inference(ennf_transformation,[],[f3577]) ).
fof(f3577,plain,
( ( ! [X2,X3] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X3))),s(real,X2))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X2))),s(real,X3)))
& ! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X1))),s(real,X0)))) ) )
=> ! [X4,X5] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X5))),s(real,X4)))) ),
inference(rectify,[],[f1316]) ).
fof(f1316,axiom,
( ( ! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X0))),s(real,X7)))) )
& ! [X7,X0] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X0))),s(real,X7))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X7))),s(real,X0))) )
=> ! [X7,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_WLOGu_LE) ).
fof(f11952,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11951]) ).
fof(f11951,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11506,f11272]) ).
fof(f11506,plain,
( ! [X2836] : sQ733_eqProxy(s(real,X2836),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6573]) ).
fof(f6573,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f5407,f5956]) ).
fof(f5407,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f1137]) ).
fof(f1137,axiom,
! [X0] :
( s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_NZ) ).
fof(f11950,plain,
( ~ spl734_255
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11949,f10608,f11768]) ).
fof(f11768,plain,
( spl734_255
<=> sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_255])]) ).
fof(f11949,plain,
( ~ sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11212,f10609]) ).
fof(f11212,plain,
( ! [X2112,X2113] :
( ~ sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X2112))),s(num,X2113)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6290]) ).
fof(f6290,plain,
! [X4,X5] :
( ~ sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK283))),s(num,sK282))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5)))) ),
inference(equality_proxy_replacement,[],[f4859,f5956]) ).
fof(f4859,plain,
! [X4,X5] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK283))),s(num,sK282))))
| s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))) != s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285)))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5)))) ),
inference(cnf_transformation,[],[f3691]) ).
fof(f3691,plain,
( ! [X4,X5] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5))))
| ? [X2,X3] : s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X3))),s(num,X2))) != s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X2))),s(num,X3)))
| ? [X1,X0] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X0))),s(num,X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X1)))) ) ),
inference(flattening,[],[f3690]) ).
fof(f3690,plain,
( ! [X4,X5] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5))))
| ? [X1,X0] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X0))),s(num,X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X1)))) )
| ? [X2,X3] : s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X3))),s(num,X2))) != s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X2))),s(num,X3))) ),
inference(ennf_transformation,[],[f3582]) ).
fof(f3582,plain,
( ( ! [X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X1))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X0))),s(num,X1)))) )
& ! [X3,X2] : s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X3))),s(num,X2))) = s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X2))),s(num,X3))) )
=> ! [X4,X5] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5)))) ),
inference(rectify,[],[f328]) ).
fof(f328,axiom,
( ( ! [X84,X83] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X84))),s(num,X83))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X84))),s(num,X83)))) )
& ! [X83,X84] : s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X84))),s(num,X83))) = s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X83))),s(num,X84))) )
=> ! [X84,X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X84))),s(num,X83)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aWLOGu_LE) ).
fof(f11948,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11947]) ).
fof(f11947,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11624,f10609]) ).
fof(f11624,plain,
( ! [X3072,X3073] : p(s(bool,i(s(fun(fun(X3072,bool),bool),finite),s(fun(X3072,bool),X3073))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5751]) ).
fof(f5751,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| p(s(bool,i(s(fun(fun(X1,bool),bool),infinite),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f3611]) ).
fof(f3611,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
<=> p(s(bool,i(s(fun(fun(X1,bool),bool),infinite),s(fun(X1,bool),X0)))) ),
inference(rectify,[],[f1677]) ).
fof(f1677,axiom,
! [X96,X3] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
<=> p(s(bool,i(s(fun(fun(X3,bool),bool),infinite),s(fun(X3,bool),X96)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINFINITE) ).
fof(f11946,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11945]) ).
fof(f11945,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11422,f10609]) ).
fof(f11422,plain,
( ! [X2630,X2631] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2630))),s(real,X2631))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5118]) ).
fof(f11944,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11943]) ).
fof(f11943,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11942,f10609]) ).
fof(f11942,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0))))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11230,f11221]) ).
fof(f11221,plain,
( ! [X2136,X2135] : ~ sQ733_eqProxy(s(num,X2135),s(num,X2136))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6425]) ).
fof(f6425,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X1))),s(num,i(s(fun(num,num),suc),s(num,X0))))))
| ~ sQ733_eqProxy(s(num,X0),s(num,X1)) ),
inference(equality_proxy_replacement,[],[f5114,f5956]) ).
fof(f5114,plain,
! [X0,X1] :
( s(num,X0) != s(num,X1)
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X1))),s(num,i(s(fun(num,num),suc),s(num,X0)))))) ),
inference(cnf_transformation,[],[f3551]) ).
fof(f3551,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X1))),s(num,i(s(fun(num,num),suc),s(num,X0))))))
<=> ( s(num,X0) = s(num,X1)
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X1))),s(num,X0)))) ) ),
inference(rectify,[],[f266]) ).
fof(f266,axiom,
! [X83,X84] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X84))),s(num,X83))))
| s(num,X83) = s(num,X84) )
<=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X84))),s(num,i(s(fun(num,num),suc),s(num,X83)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLTu_conjunct1) ).
fof(f11230,plain,
( sQ733_eqProxy(s(num,a0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,sK389))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6438]) ).
fof(f6438,plain,
( sQ733_eqProxy(s(num,a0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,sK389))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0)))))) ),
inference(equality_proxy_replacement,[],[f5153,f5956]) ).
fof(f5153,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
| s(num,a0) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,sK389))) ),
inference(cnf_transformation,[],[f3869]) ).
fof(f3869,plain,
( ! [X0] :
( ( s(num,a0) != s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,X0)))
& ( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X0) ) )
| p(s(bool,i(s(fun(num,bool),p0),s(num,X0)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0)))))) ),
inference(ennf_transformation,[],[f3275]) ).
fof(f3275,plain,
( ! [X0] :
( ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X0) )
| s(num,a0) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,X0))) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X0)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0)))))) ),
inference(rectify,[],[f444]) ).
fof(f444,axiom,
( ! [X86] :
( ( s(num,a0) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,X86)))
| ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X86) ) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X86)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,a0))),s(num,b0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBu_ELIMu_THM) ).
fof(f11940,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11939]) ).
fof(f11939,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11267,f10609]) ).
fof(f11267,plain,
( ! [X2247,X2246] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2246))),s(real,X2247))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5479]) ).
fof(f5479,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3129]) ).
fof(f3129,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(rectify,[],[f972]) ).
fof(f972,axiom,
! [X7,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X7))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_TOTAL) ).
fof(f11938,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11937]) ).
fof(f11937,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11602,f10609]) ).
fof(f11602,plain,
( ! [X3023] : p(s(bool,i(s(fun(num,bool),even),s(num,X3023))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4135]) ).
fof(f4135,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),odd),s(num,X0)))) ),
inference(cnf_transformation,[],[f3511]) ).
fof(f3511,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
<=> ~ p(s(bool,i(s(fun(num,bool),odd),s(num,X0)))) ),
inference(rectify,[],[f338]) ).
fof(f338,axiom,
! [X83] :
( ~ p(s(bool,i(s(fun(num,bool),odd),s(num,X83))))
<=> p(s(bool,i(s(fun(num,bool),even),s(num,X83)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_ODD) ).
fof(f11936,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11935]) ).
fof(f11935,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11934,f11272]) ).
fof(f11934,plain,
( ! [X2827] : sQ733_eqProxy(s(real,X2827),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11499,f10609]) ).
fof(f11499,plain,
( ! [X2827] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2827))))
| sQ733_eqProxy(s(real,X2827),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6044]) ).
fof(f11933,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11932]) ).
fof(f11932,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11603,f10609]) ).
fof(f11603,plain,
( ! [X3024] : p(s(bool,i(s(fun(num,bool),even),s(num,X3024))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4875]) ).
fof(f4875,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),odd),s(num,X0)))) ),
inference(cnf_transformation,[],[f3528]) ).
fof(f3528,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),odd),s(num,X0)))) ),
inference(rectify,[],[f339]) ).
fof(f339,axiom,
! [X83] :
( p(s(bool,i(s(fun(num,bool),odd),s(num,X83))))
| p(s(bool,i(s(fun(num,bool),even),s(num,X83)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEVENu_ORu_ODD) ).
fof(f11931,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11930]) ).
fof(f11930,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11261,f10609]) ).
fof(f11261,plain,
( ! [X2232,X2233] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2232))),s(real,X2233))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5118]) ).
fof(f11929,plain,
( ~ spl734_256
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11924,f10608,f11926]) ).
fof(f11924,plain,
( ~ sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11249,f10609]) ).
fof(f11249,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK488))),s(real,sK489))))
| ~ sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK490))),s(real,sK491))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),p0),s(real,sK491))),s(real,sK490))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6535]) ).
fof(f11921,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11920]) ).
fof(f11920,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11919,f11223]) ).
fof(f11223,plain,
( ! [X2140,X2139] : sP715(X2139,X2140)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5886]) ).
fof(f5886,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,n))))
| sP715(X1,X0) ),
inference(cnf_transformation,[],[f3989]) ).
fof(f3989,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,m))),s(num,n))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),mod),s(num,m))),s(num,n))))))
<=> ! [X0,X1] :
( ( ( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,n))))
| s(num,m) != s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,n))))),s(num,X0))) )
& ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,n)
| s(num,m) != s(num,X0)
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X1) ) )
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X1))),s(num,X0)))) ) ),
inference(ennf_transformation,[],[f3175]) ).
fof(f3175,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,m))),s(num,n))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),mod),s(num,m))),s(num,n))))))
<=> ! [X0,X1] :
( ( ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X1)
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,n)
& s(num,m) = s(num,X0) )
| ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,n))))
& s(num,m) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,n))))),s(num,X0))) ) )
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X1))),s(num,X0)))) ) ),
inference(rectify,[],[f446]) ).
fof(f446,axiom,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,m))),s(num,n))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),mod),s(num,m))),s(num,n))))))
<=> ! [X5,X4] :
( ( ( s(num,m) = s(num,X5)
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,n)
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X4) )
| ( s(num,m) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X4))),s(num,n))))),s(num,X5)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X5))),s(num,n)))) ) )
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,X4))),s(num,X5)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIVMODu_ELIMu_THM) ).
fof(f11919,plain,
( ~ sP715(sK714,sK713)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11120,f11221]) ).
fof(f11120,plain,
( sQ733_eqProxy(s(num,m),s(num,sK713))
| ~ sP715(sK714,sK713)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6865]) ).
fof(f6865,plain,
( ~ sP715(sK714,sK713)
| sQ733_eqProxy(s(num,m),s(num,sK713))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,m))),s(num,n))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),mod),s(num,m))),s(num,n)))))) ),
inference(equality_proxy_replacement,[],[f5890,f5956]) ).
fof(f5890,plain,
( s(num,m) = s(num,sK713)
| ~ sP715(sK714,sK713)
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,m))),s(num,n))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),mod),s(num,m))),s(num,n)))))) ),
inference(cnf_transformation,[],[f3989]) ).
fof(f11918,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11917]) ).
fof(f11917,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11332,f10609]) ).
fof(f11332,plain,
( ! [X2431,X2433,X2432] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK126(X2431,X2432,X2433)))),s(num,X2431))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4451]) ).
fof(f4451,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))),s(fun(num,real),X2))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK126(X0,X1,X2)))),s(num,X0)))) ),
inference(cnf_transformation,[],[f3745]) ).
fof(f3745,plain,
! [X0,X2,X1] :
( ? [X3] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X3))))
& ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),X2),s(num,X3))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,X0)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))),s(fun(num,real),X2)))))) ),
inference(flattening,[],[f3744]) ).
fof(f3744,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))),s(fun(num,real),X2))))))
| ? [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),X2),s(num,X3))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,X0))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X3)))) ) ),
inference(ennf_transformation,[],[f3449]) ).
fof(f3449,plain,
! [X2,X1,X0] :
( ! [X3] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,X0))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X3)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),X2),s(num,X3)))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))),s(fun(num,real),X2)))))) ),
inference(rectify,[],[f2334]) ).
fof(f2334,axiom,
! [X83,X84,X10] :
( ! [X6] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X84))),s(num,X6))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X6))),s(num,X83)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),X10),s(num,X6)))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))))),s(fun(num,real),X10)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_POSu_LEu_NUMSEG) ).
fof(f11916,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11915]) ).
fof(f11915,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11914,f11272]) ).
fof(f11914,plain,
( ! [X2192,X2193] : sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X2192))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2193),s(real,X2192))))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11246,f11272]) ).
fof(f11246,plain,
( ! [X2192,X2193] :
( sQ733_eqProxy(s(real,sK275(X2193)),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK274(X2193)))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X2192))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2193),s(real,X2192)))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6270]) ).
fof(f6270,plain,
! [X3,X0] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X3))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3))))))
| sQ733_eqProxy(s(real,sK275(X0)),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK274(X0)))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,sK275(X0)))),s(real,sK274(X0))))) ),
inference(equality_proxy_replacement,[],[f4830,f5956,f5956]) ).
fof(f4830,plain,
! [X3,X0] :
( s(real,sK275(X0)) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,sK274(X0)))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,sK275(X0)))),s(real,sK274(X0)))))
| s(real,i(s(fun(real,real),sqrt),s(real,X3))) = s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3))))) ),
inference(cnf_transformation,[],[f4101]) ).
fof(f4101,plain,
! [X0] :
( ! [X3] : s(real,i(s(fun(real,real),sqrt),s(real,X3))) = s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3)))))
| ? [X2,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X1))),s(real,X2))))
<~> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
& s(real,X1) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ) ) ),
inference(ennf_transformation,[],[f3231]) ).
fof(f3231,plain,
! [X0] :
( ! [X1,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X1))),s(real,X2))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))))
& s(real,X1) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X2))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ) )
=> ! [X3] : s(real,i(s(fun(real,real),sqrt),s(real,X3))) = s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3))))) ),
inference(rectify,[],[f2722]) ).
fof(f2722,axiom,
! [X18] :
( ! [X0,X7] :
( ( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7)))) )
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X18),s(real,X0))),s(real,X7)))) )
=> ! [X0] : s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X18),s(real,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asqrt) ).
fof(f11913,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11912]) ).
fof(f11912,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11415,f10609]) ).
fof(f11415,plain,
( ! [X2612,X2613] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2612))),s(real,X2613))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4322]) ).
fof(f11911,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11910]) ).
fof(f11910,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11574,f10609]) ).
fof(f11574,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK218))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4657]) ).
fof(f4657,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK218))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f3678]) ).
fof(f3678,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
<=> ! [X0] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ)))))) ) ),
inference(flattening,[],[f3677]) ).
fof(f3677,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
<=> ! [X0] :
( p(s(bool,i(s(fun(num,bool),p0),s(num,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ)))))) ) ),
inference(ennf_transformation,[],[f2952]) ).
fof(f2952,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
<=> ! [X0] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ)))))) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X0)))) ) ),
inference(rectify,[],[f2813]) ).
fof(f2813,axiom,
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81)))) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X81)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_DIMINDEXu_1) ).
fof(f11909,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11908]) ).
fof(f11908,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11907,f11780]) ).
fof(f11780,plain,
( ! [X3052,X3050,X3054,X3051,X3053] : ~ sP77(X3053,X3052,X3051,X3054,X3050)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11615,f10609]) ).
fof(f11615,plain,
( ! [X3052,X3050,X3054,X3051,X3053] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK80(X3050,X3051,X3052,X3053)))))
| ~ sP77(X3053,X3052,X3051,X3054,X3050) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4359]) ).
fof(f4359,plain,
! [X2,X0,X1,X8,X13] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK80(X0,X2,X8,X13)))))
| ~ sP77(X13,X8,X2,X1,X0)
| p(s(bool,i(s(fun(fun(cart(X0,X2),bool),bool),finite),s(fun(cart(X0,X2),bool),i(s(fun(fun(cart(X0,X2),bool),fun(cart(X0,X2),bool)),gspec),s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X13)))))))) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f3866,plain,
! [X1,X0,X2] :
( ! [X8] :
( ! [X13] :
( ? [X14] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X14))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X14))))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X13))),s(num,X14)))))))) )
| p(s(bool,i(s(fun(fun(cart(X0,X2),bool),bool),finite),s(fun(cart(X0,X2),bool),i(s(fun(fun(cart(X0,X2),bool),fun(cart(X0,X2),bool)),gspec),s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X13)))))))) )
| ? [X11,X10,X9] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X10))),s(num,X9))),s(X0,X11))))
<~> ? [X12] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X11))),s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X10),s(num,X9))),s(X0,X12))))),s(X0,X12)))) ) )
| ? [X4,X3] :
( p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X4))),s(cart(X0,X2),X3))))
<~> ? [X5,X6] :
( ( p(s(bool,X5))
<=> ! [X7] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X7))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X4),s(num,X7))),s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X2),fun(num,X0)),d_),s(cart(X0,X2),X6))),s(num,X7))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X7)))) ) )
& p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(bool,fun(cart(X0,X2),bool)),i(s(fun(cart(X0,X2),fun(bool,fun(cart(X0,X2),bool))),setspec),s(cart(X0,X2),X3))),s(bool,X5))),s(cart(X0,X2),X6)))) ) ) ),
inference(flattening,[],[f3865]) ).
fof(f3865,plain,
! [X0,X2,X1] :
( ! [X8] :
( ! [X13] :
( p(s(bool,i(s(fun(fun(cart(X0,X2),bool),bool),finite),s(fun(cart(X0,X2),bool),i(s(fun(fun(cart(X0,X2),bool),fun(cart(X0,X2),bool)),gspec),s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X13))))))))
| ? [X14] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X13))),s(num,X14))))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X14))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X14)))) ) )
| ? [X11,X10,X9] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X10))),s(num,X9))),s(X0,X11))))
<~> ? [X12] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X11))),s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X10),s(num,X9))),s(X0,X12))))),s(X0,X12)))) ) )
| ? [X3,X4] :
( ? [X6,X5] :
( ( p(s(bool,X5))
<=> ! [X7] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X4),s(num,X7))),s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X2),fun(num,X0)),d_),s(cart(X0,X2),X6))),s(num,X7))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X7))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X7)))) ) )
& p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(bool,fun(cart(X0,X2),bool)),i(s(fun(cart(X0,X2),fun(bool,fun(cart(X0,X2),bool))),setspec),s(cart(X0,X2),X3))),s(bool,X5))),s(cart(X0,X2),X6)))) )
<~> p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X4))),s(cart(X0,X2),X3)))) ) ),
inference(ennf_transformation,[],[f3139]) ).
fof(f3139,plain,
! [X0,X2,X1] :
( ! [X3,X4] :
( ? [X6,X5] :
( ( p(s(bool,X5))
<=> ! [X7] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X7))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X7)))) )
=> p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X4),s(num,X7))),s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X2),fun(num,X0)),d_),s(cart(X0,X2),X6))),s(num,X7)))))) ) )
& p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(bool,fun(cart(X0,X2),bool)),i(s(fun(cart(X0,X2),fun(bool,fun(cart(X0,X2),bool))),setspec),s(cart(X0,X2),X3))),s(bool,X5))),s(cart(X0,X2),X6)))) )
<=> p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X4))),s(cart(X0,X2),X3)))) )
=> ! [X8] :
( ! [X9,X10,X11] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X10))),s(num,X9))),s(X0,X11))))
<=> ? [X12] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X11))),s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X10),s(num,X9))),s(X0,X12))))),s(X0,X12)))) )
=> ! [X13] :
( ! [X14] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X14))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X14)))) )
=> p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X13))),s(num,X14)))))))) )
=> p(s(bool,i(s(fun(fun(cart(X0,X2),bool),bool),finite),s(fun(cart(X0,X2),bool),i(s(fun(fun(cart(X0,X2),bool),fun(cart(X0,X2),bool)),gspec),s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),X13)))))))) ) ) ),
inference(rectify,[],[f2410]) ).
fof(f2410,axiom,
! [X3,X62,X732] :
( ! [X750,X6] :
( p(s(bool,i(s(fun(cart(X3,X732),bool),i(s(fun(fun(num,fun(X3,bool)),fun(cart(X3,X732),bool)),X62),s(fun(num,fun(X3,bool)),X6))),s(cart(X3,X732),X750))))
<=> ? [X751,X24] :
( p(s(bool,i(s(fun(cart(X3,X732),bool),i(s(fun(bool,fun(cart(X3,X732),bool)),i(s(fun(cart(X3,X732),fun(bool,fun(cart(X3,X732),bool))),setspec),s(cart(X3,X732),X750))),s(bool,X751))),s(cart(X3,X732),X24))))
& ( p(s(bool,X751))
<=> ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(fun(X732,bool),num),dimindex),s(fun(X732,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81)))) )
=> p(s(bool,i(s(fun(X3,bool),i(s(fun(num,fun(X3,bool)),X6),s(num,X81))),s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X732),fun(num,X3)),d_),s(cart(X3,X732),X24))),s(num,X81)))))) ) ) ) )
=> ! [X18] :
( ! [X81,X6,X752] :
( p(s(bool,i(s(fun(X3,bool),i(s(fun(num,fun(X3,bool)),i(s(fun(fun(num,fun(X3,bool)),fun(num,fun(X3,bool))),X18),s(fun(num,fun(X3,bool)),X6))),s(num,X81))),s(X3,X752))))
<=> ? [X0] : p(s(bool,i(s(fun(X3,bool),i(s(fun(bool,fun(X3,bool)),i(s(fun(X3,fun(bool,fun(X3,bool))),setspec),s(X3,X752))),s(bool,i(s(fun(X3,bool),i(s(fun(num,fun(X3,bool)),X6),s(num,X81))),s(X3,X0))))),s(X3,X0)))) )
=> ! [X6] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(fun(X732,bool),num),dimindex),s(fun(X732,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81)))) )
=> p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),gspec),s(fun(X3,bool),i(s(fun(num,fun(X3,bool)),i(s(fun(fun(num,fun(X3,bool)),fun(num,fun(X3,bool))),X18),s(fun(num,fun(X3,bool)),X6))),s(num,X81)))))))) )
=> p(s(bool,i(s(fun(fun(cart(X3,X732),bool),bool),finite),s(fun(cart(X3,X732),bool),i(s(fun(fun(cart(X3,X732),bool),fun(cart(X3,X732),bool)),gspec),s(fun(cart(X3,X732),bool),i(s(fun(fun(num,fun(X3,bool)),fun(cart(X3,X732),bool)),X62),s(fun(num,fun(X3,bool)),X6)))))))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_CART) ).
fof(f11907,plain,
( ! [X2933,X2934,X2932,X2930,X2931] : sP77(X2933,X2934,X2932,X2931,X2930)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11906,f10609]) ).
fof(f11906,plain,
( ! [X2933,X2934,X2932,X2930,X2931] :
( p(s(bool,sK71(X2930,X2931,X2932)))
| sP77(X2933,X2934,X2932,X2931,X2930) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11905,f11198]) ).
fof(f11198,plain,
( ! [X2074,X2073,X2075,X2076] : sP78(X2073,X2074,X2075,X2076)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4356]) ).
fof(f4356,plain,
! [X2,X0,X6,X4] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK81(X0,X2,X4,X6)))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| sP78(X6,X4,X2,X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f11905,plain,
( ! [X2933,X2934,X2932,X2930,X2931] :
( ~ sP78(sK72(X2930,X2931,X2932),sK69(X2930,X2931,X2932),X2932,X2930)
| p(s(bool,sK71(X2930,X2931,X2932)))
| sP77(X2933,X2934,X2932,X2931,X2930) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11545,f11814]) ).
fof(f11814,plain,
( ! [X1186,X1188,X1189,X1185,X1187] : ~ sP76(X1185,X1186,X1187,X1188,X1189)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10958,f10609]) ).
fof(f10958,plain,
( ! [X1188,X1186,X1189,X1185,X1187] :
( p(s(bool,i(s(fun(X1189,bool),i(s(fun(num,fun(X1189,bool)),i(s(fun(fun(num,fun(X1189,bool)),fun(num,fun(X1189,bool))),X1188),s(fun(num,fun(X1189,bool)),X1186))),s(num,X1187))),s(X1189,X1185))))
| ~ sP76(X1185,X1186,X1187,X1188,X1189) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4361]) ).
fof(f4361,plain,
! [X10,X0,X11,X8,X9] :
( ~ sP76(X11,X10,X9,X8,X0)
| p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X11))),s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),X10),s(num,X9))),s(X0,sK79(X0,X9,X10,X11)))))),s(X0,sK79(X0,X9,X10,X11)))))
| p(s(bool,i(s(fun(X0,bool),i(s(fun(num,fun(X0,bool)),i(s(fun(fun(num,fun(X0,bool)),fun(num,fun(X0,bool))),X8),s(fun(num,fun(X0,bool)),X10))),s(num,X9))),s(X0,X11)))) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f11545,plain,
( ! [X2933,X2934,X2932,X2930,X2931] :
( sP76(sK73(X2930,X2934),sK74(X2930,X2934),sK75(X2930,X2934),X2934,X2930)
| sP77(X2933,X2934,X2932,X2931,X2930)
| p(s(bool,sK71(X2930,X2931,X2932)))
| ~ sP78(sK72(X2930,X2931,X2932),sK69(X2930,X2931,X2932),X2932,X2930) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4365]) ).
fof(f4365,plain,
! [X2,X0,X1,X8,X13] :
( p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),sK69(X0,X1,X2)))),s(cart(X0,X2),sK70(X0,X1,X2)))))
| p(s(bool,sK71(X0,X1,X2)))
| ~ sP78(sK72(X0,X1,X2),sK69(X0,X1,X2),X2,X0)
| sP77(X13,X8,X2,X1,X0)
| sP76(sK73(X0,X8),sK74(X0,X8),sK75(X0,X8),X8,X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f11904,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11903]) ).
fof(f11903,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11200,f10609]) ).
fof(f11200,plain,
( ! [X2082,X2080,X2081] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2080),real),vectoru_norm),s(cart(real,X2080),X2081))))),s(real,i(s(fun(cart(real,X2080),real),vectoru_norm),s(cart(real,X2080),X2082))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4458]) ).
fof(f4458,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK128(X0,X1,X2)))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ)))))) ),
inference(cnf_transformation,[],[f3774]) ).
fof(f11902,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11901]) ).
fof(f11901,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11900,f10609]) ).
fof(f11900,plain,
( ! [X2942,X2941,X2940] : p(s(bool,i(s(fun(cart(X2940,X2941),bool),i(s(fun(bool,fun(cart(X2940,X2941),bool)),i(s(fun(cart(X2940,X2941),fun(bool,fun(cart(X2940,X2941),bool))),setspec),s(cart(X2940,X2941),sK70(X2940,X2942,X2941)))),s(bool,sK71(X2940,X2942,X2941)))),s(cart(X2940,X2941),sK72(X2940,X2942,X2941)))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11899,f11814]) ).
fof(f11899,plain,
( ! [X2944,X2942,X2941,X2940] :
( sP76(sK73(X2940,X2944),sK74(X2940,X2944),sK75(X2940,X2944),X2944,X2940)
| p(s(bool,i(s(fun(cart(X2940,X2941),bool),i(s(fun(bool,fun(cart(X2940,X2941),bool)),i(s(fun(cart(X2940,X2941),fun(bool,fun(cart(X2940,X2941),bool))),setspec),s(cart(X2940,X2941),sK70(X2940,X2942,X2941)))),s(bool,sK71(X2940,X2942,X2941)))),s(cart(X2940,X2941),sK72(X2940,X2942,X2941))))) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11547,f11780]) ).
fof(f11547,plain,
( ! [X2944,X2942,X2941,X2943,X2940] :
( sP77(X2943,X2944,X2941,X2942,X2940)
| sP76(sK73(X2940,X2944),sK74(X2940,X2944),sK75(X2940,X2944),X2944,X2940)
| p(s(bool,i(s(fun(cart(X2940,X2941),bool),i(s(fun(bool,fun(cart(X2940,X2941),bool)),i(s(fun(cart(X2940,X2941),fun(bool,fun(cart(X2940,X2941),bool))),setspec),s(cart(X2940,X2941),sK70(X2940,X2942,X2941)))),s(bool,sK71(X2940,X2942,X2941)))),s(cart(X2940,X2941),sK72(X2940,X2942,X2941))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4367]) ).
fof(f4367,plain,
! [X2,X0,X1,X8,X13] :
( p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(bool,fun(cart(X0,X2),bool)),i(s(fun(cart(X0,X2),fun(bool,fun(cart(X0,X2),bool))),setspec),s(cart(X0,X2),sK70(X0,X1,X2)))),s(bool,sK71(X0,X1,X2)))),s(cart(X0,X2),sK72(X0,X1,X2)))))
| sP77(X13,X8,X2,X1,X0)
| p(s(bool,i(s(fun(cart(X0,X2),bool),i(s(fun(fun(num,fun(X0,bool)),fun(cart(X0,X2),bool)),X1),s(fun(num,fun(X0,bool)),sK69(X0,X1,X2)))),s(cart(X0,X2),sK70(X0,X1,X2)))))
| sP76(sK73(X0,X8),sK74(X0,X8),sK75(X0,X8),X8,X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f11898,plain,
( spl734_253
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11632,f10608,f11730]) ).
fof(f11730,plain,
( spl734_253
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl734_253])]) ).
fof(f11632,plain,
( sP9
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4185]) ).
fof(f4185,plain,
( sP9
| p(s(bool,a0)) ),
inference(cnf_transformation,[],[f4010]) ).
fof(f4010,plain,
( s(bool,a0) = s(bool,b0)
<=> ( ( ~ p(s(bool,a0))
| p(s(bool,b0)) )
& ( p(s(bool,a0))
| ~ p(s(bool,b0)) ) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ( ( p(s(bool,b0))
=> p(s(bool,a0)) )
& ( p(s(bool,a0))
=> p(s(bool,b0)) ) )
<=> s(bool,a0) = s(bool,b0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aGeomdetailo_EQu_EXPAND) ).
fof(f11897,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11896]) ).
fof(f11896,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11895,f11198]) ).
fof(f11895,plain,
( ! [X3123,X3124,X3122] : ~ sP78(sK72(X3122,X3124,X3123),sK69(X3122,X3124,X3123),X3123,X3122)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11894,f10609]) ).
fof(f11894,plain,
( ! [X3123,X3124,X3122] :
( p(s(bool,i(s(fun(cart(X3122,X3123),bool),i(s(fun(fun(num,fun(X3122,bool)),fun(cart(X3122,X3123),bool)),X3124),s(fun(num,fun(X3122,bool)),sK69(X3122,X3124,X3123)))),s(cart(X3122,X3123),sK70(X3122,X3124,X3123)))))
| ~ sP78(sK72(X3122,X3124,X3123),sK69(X3122,X3124,X3123),X3123,X3122) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11893,f11814]) ).
fof(f11893,plain,
( ! [X3123,X3124,X3122,X3126] :
( sP76(sK73(X3122,X3126),sK74(X3122,X3126),sK75(X3122,X3126),X3126,X3122)
| ~ sP78(sK72(X3122,X3124,X3123),sK69(X3122,X3124,X3123),X3123,X3122)
| p(s(bool,i(s(fun(cart(X3122,X3123),bool),i(s(fun(fun(num,fun(X3122,bool)),fun(cart(X3122,X3123),bool)),X3124),s(fun(num,fun(X3122,bool)),sK69(X3122,X3124,X3123)))),s(cart(X3122,X3123),sK70(X3122,X3124,X3123))))) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11643,f11780]) ).
fof(f11643,plain,
( ! [X3123,X3124,X3122,X3126,X3125] :
( sP77(X3125,X3126,X3123,X3124,X3122)
| sP76(sK73(X3122,X3126),sK74(X3122,X3126),sK75(X3122,X3126),X3126,X3122)
| ~ sP78(sK72(X3122,X3124,X3123),sK69(X3122,X3124,X3123),X3123,X3122)
| p(s(bool,i(s(fun(cart(X3122,X3123),bool),i(s(fun(fun(num,fun(X3122,bool)),fun(cart(X3122,X3123),bool)),X3124),s(fun(num,fun(X3122,bool)),sK69(X3122,X3124,X3123)))),s(cart(X3122,X3123),sK70(X3122,X3124,X3123))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4365]) ).
fof(f11892,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11891]) ).
fof(f11891,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11593,f11221]) ).
fof(f11593,plain,
( ! [X3011] : sQ733_eqProxy(s(num,X3011),s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,sK720(X3011)))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6874]) ).
fof(f6874,plain,
! [X0] :
( sQ733_eqProxy(s(num,X0),s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,sK720(X0)))))))
| p(s(bool,i(s(fun(num,bool),even),s(num,X0)))) ),
inference(equality_proxy_replacement,[],[f5900,f5956]) ).
fof(f5900,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
| s(num,X0) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,sK720(X0)))))) ),
inference(cnf_transformation,[],[f4091]) ).
fof(f4091,plain,
! [X0] :
( ( ? [X1] : s(num,X0) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X1)))))
| p(s(bool,i(s(fun(num,bool),even),s(num,X0)))) )
& ( ? [X2] : s(num,X0) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X2)))
| ~ p(s(bool,i(s(fun(num,bool),even),s(num,X0)))) ) ),
inference(ennf_transformation,[],[f3524]) ).
fof(f3524,plain,
! [X0] :
( ( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
=> ? [X2] : s(num,X0) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X2))) )
& ( ~ p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
=> ? [X1] : s(num,X0) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X1))))) ) ),
inference(rectify,[],[f349]) ).
fof(f349,axiom,
! [X83] :
( ( ~ p(s(bool,i(s(fun(num,bool),even),s(num,X83))))
=> ? [X84] : s(num,X83) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X84))))) )
& ( p(s(bool,i(s(fun(num,bool),even),s(num,X83))))
=> ? [X84] : s(num,X83) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X84))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEVENu_EXISTSu_LEMMA) ).
fof(f11890,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11889]) ).
fof(f11889,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11143,f10609]) ).
fof(f11143,plain,
( ! [X1936,X1937] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1936))),s(num,X1937))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5213]) ).
fof(f5213,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X1)))) ),
inference(cnf_transformation,[],[f3348]) ).
fof(f3348,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X1))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X0)))) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X84,X83] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X84))),s(num,X83))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X83))),s(num,X84)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEu_CASES) ).
fof(f11888,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11887]) ).
fof(f11887,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11886,f11814]) ).
fof(f11886,plain,
( ! [X2951,X2954] : sP76(sK73(X2954,X2951),sK74(X2954,X2951),sK75(X2954,X2951),X2951,X2954)
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11885,f10609]) ).
fof(f11885,plain,
( ! [X2952,X2951,X2953,X2954] :
( p(s(bool,i(s(fun(cart(X2954,X2952),bool),i(s(fun(fun(num,fun(X2954,bool)),fun(cart(X2954,X2952),bool)),X2953),s(fun(num,fun(X2954,bool)),sK69(X2954,X2953,X2952)))),s(cart(X2954,X2952),sK70(X2954,X2953,X2952)))))
| sP76(sK73(X2954,X2951),sK74(X2954,X2951),sK75(X2954,X2951),X2951,X2954) )
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11549,f11780]) ).
fof(f11549,plain,
( ! [X2950,X2951,X2952,X2953,X2954] :
( sP77(X2950,X2951,X2952,X2953,X2954)
| sP76(sK73(X2954,X2951),sK74(X2954,X2951),sK75(X2954,X2951),X2951,X2954)
| p(s(bool,i(s(fun(cart(X2954,X2952),bool),i(s(fun(fun(num,fun(X2954,bool)),fun(cart(X2954,X2952),bool)),X2953),s(fun(num,fun(X2954,bool)),sK69(X2954,X2953,X2952)))),s(cart(X2954,X2952),sK70(X2954,X2953,X2952))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4367]) ).
fof(f11884,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11883]) ).
fof(f11883,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11206,f10609]) ).
fof(f11206,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4657]) ).
fof(f11882,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11881]) ).
fof(f11881,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11417,f10609]) ).
fof(f11417,plain,
( ! [X2618,X2617] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2617))),s(real,X2618))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4687]) ).
fof(f11880,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11879]) ).
fof(f11879,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11572,f10609]) ).
fof(f11572,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK237))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4715]) ).
fof(f4715,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK237))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f3654]) ).
fof(f3654,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(flattening,[],[f3653]) ).
fof(f3653,plain,
( ! [X0] :
( p(s(bool,i(s(fun(num,bool),p0),s(num,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(ennf_transformation,[],[f3016]) ).
fof(f3016,plain,
( ! [X0] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X0)))) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X0)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(rectify,[],[f2738]) ).
fof(f2738,axiom,
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) )
=> p(s(bool,i(s(fun(num,bool),p0),s(num,X81)))) )
<=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_1) ).
fof(f11878,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11877]) ).
fof(f11877,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11461,f11272]) ).
fof(f11461,plain,
( ! [X2738] : sQ733_eqProxy(s(real,X2738),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6446]) ).
fof(f6446,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0))))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f5162,f5956]) ).
fof(f5162,plain,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0)))))) ),
inference(cnf_transformation,[],[f1245]) ).
fof(f1245,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0))))))
<=> s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_SQUARE) ).
fof(f11876,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11875]) ).
fof(f11875,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11874,f10609]) ).
fof(f11874,plain,
( ! [X2647,X2646] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2647))),s(real,X2646))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11429,f11272]) ).
fof(f11429,plain,
( ! [X2647,X2646] :
( sQ733_eqProxy(s(real,X2646),s(real,X2647))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2647))),s(real,X2646)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6114]) ).
fof(f11873,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11872]) ).
fof(f11872,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11871,f10609]) ).
fof(f11871,plain,
( ! [X2642,X2643] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2642))),s(real,X2643))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11427,f11272]) ).
fof(f11427,plain,
( ! [X2642,X2643] :
( sQ733_eqProxy(s(real,X2642),s(real,X2643))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2642))),s(real,X2643)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5970]) ).
fof(f11870,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11869]) ).
fof(f11869,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11259,f10609]) ).
fof(f11259,plain,
( ! [X2228,X2229] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2228))),s(real,X2229))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4687]) ).
fof(f11868,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11867]) ).
fof(f11867,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11202,f10609]) ).
fof(f11202,plain,
( ! [X2088,X2090,X2089,X2087] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2087))),s(num,X2088))))),s(fun(num,real),X2089))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2087))),s(num,X2088))))),s(fun(num,real),X2090))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4477]) ).
fof(f4477,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X0))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X3))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK131(X0,X1,X2,X3)))),s(num,X2)))) ),
inference(cnf_transformation,[],[f3897]) ).
fof(f3897,plain,
! [X2,X0,X3,X1] :
( ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),X0),s(num,X4))))),s(real,i(s(fun(num,real),X3),s(num,X4))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X2))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X4)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X0))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X3)))))) ),
inference(flattening,[],[f3896]) ).
fof(f3896,plain,
! [X2,X0,X3,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X0))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X3))))))
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),X0),s(num,X4))))),s(real,i(s(fun(num,real),X3),s(num,X4))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X4))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X2)))) ) ),
inference(ennf_transformation,[],[f3452]) ).
fof(f3452,plain,
! [X2,X0,X3,X1] :
( ! [X4] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X4))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X2)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),X0),s(num,X4))))),s(real,i(s(fun(num,real),X3),s(num,X4)))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X0))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X3)))))) ),
inference(rectify,[],[f2328]) ).
fof(f2328,axiom,
! [X10,X84,X83,X17] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,X83))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X84))),s(num,X81)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),X10),s(num,X81))))),s(real,i(s(fun(num,real),X17),s(num,X81)))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))))),s(fun(num,real),X10))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))))),s(fun(num,real),X17)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_LEu_NUMSEG) ).
fof(f11866,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11865]) ).
fof(f11865,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11333,f10609]) ).
fof(f11333,plain,
( ! [X2436,X2435,X2434] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2434))),s(num,sK126(X2435,X2434,X2436)))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4453]) ).
fof(f4453,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))),s(fun(num,real),X2))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,sK126(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3745]) ).
fof(f11864,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11863]) ).
fof(f11863,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11264,f10609]) ).
fof(f11264,plain,
( ! [X2240,X2241] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2240))),s(real,X2241))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5340]) ).
fof(f11860,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11859]) ).
fof(f11859,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11858,f10609]) ).
fof(f11858,plain,
( ! [X2191] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK274(X2191)))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11245,f11272]) ).
fof(f11245,plain,
( ! [X2190,X2191] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X2190))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2191),s(real,X2190))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK274(X2191))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6269]) ).
fof(f6269,plain,
! [X3,X0] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X3))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,sK275(X0)))),s(real,sK274(X0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK274(X0))))) ),
inference(equality_proxy_replacement,[],[f4831,f5956]) ).
fof(f4831,plain,
! [X3,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK274(X0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,sK275(X0)))),s(real,sK274(X0)))))
| s(real,i(s(fun(real,real),sqrt),s(real,X3))) = s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X0),s(real,X3))))) ),
inference(cnf_transformation,[],[f4101]) ).
fof(f11857,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11856]) ).
fof(f11856,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11291,f10609]) ).
fof(f11291,plain,
( ! [X2309] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,X2309))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4311]) ).
fof(f11855,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11854]) ).
fof(f11854,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11853,f11272]) ).
fof(f11853,plain,
( ! [X2521,X2520] : sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X2520))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2521),s(real,X2520))))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11384,f10609]) ).
fof(f11384,plain,
( ! [X2521,X2520] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2521),s(real,sK275(X2521)))),s(real,sK274(X2521)))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X2520))),s(real,i(s(fun(fun(real,bool),real),h_),s(fun(real,bool),i(s(fun(real,fun(real,bool)),X2521),s(real,X2520)))))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6269]) ).
fof(f11852,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11851]) ).
fof(f11851,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11363,f10609]) ).
fof(f11363,plain,
( ! [X2491] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2491))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4311]) ).
fof(f11850,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11849]) ).
fof(f11849,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11420,f10609]) ).
fof(f11420,plain,
( ! [X2625,X2626] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2625))),s(real,X2626))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4768]) ).
fof(f11848,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11847]) ).
fof(f11847,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11585,f10609]) ).
fof(f11585,plain,
( ! [X2998] : p(s(bool,i(s(fun(num,bool),odd),s(num,X2998))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4875]) ).
fof(f11845,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11844]) ).
fof(f11844,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10798,f11165]) ).
fof(f11165,plain,
( ! [X1990,X1989] : sP268(X1989,X1990)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4808]) ).
fof(f4808,plain,
! [X0,X1] :
( sP268(X1,X0)
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X1)))) ),
inference(cnf_transformation,[],[f3861]) ).
fof(f3861,plain,
! [X0] :
( ! [X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X1))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(num,bool),X0),s(num,X1)))) )
<=> ( p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ) ),
inference(flattening,[],[f3860]) ).
fof(f3860,plain,
! [X0] :
( ! [X1] :
( p(s(bool,i(s(fun(num,bool),X0),s(num,X1))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X1))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
<=> ( p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ) ),
inference(ennf_transformation,[],[f2974]) ).
fof(f2974,plain,
! [X0] :
( ! [X1] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(num,bool),X0),s(num,X1)))) )
<=> ( p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ) ),
inference(rectify,[],[f2740]) ).
fof(f2740,axiom,
! [X6] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(num,bool),X6),s(num,X81)))) )
<=> ( p(s(bool,i(s(fun(num,bool),X6),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(num,bool),X6),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
& p(s(bool,i(s(fun(num,bool),X6),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_3) ).
fof(f10798,plain,
( ! [X559] : ~ sP268(sK267(X559),X559)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4812]) ).
fof(f4812,plain,
! [X0] :
( ~ sP268(sK267(X0),X0)
| p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(cnf_transformation,[],[f3861]) ).
fof(f11842,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11841]) ).
fof(f11841,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11569,f10609]) ).
fof(f11569,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK218))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4659]) ).
fof(f4659,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK218))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f3678]) ).
fof(f11840,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11839]) ).
fof(f11839,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11838,f11272]) ).
fof(f11838,plain,
( ! [X2640,X2641] : sQ733_eqProxy(s(real,X2641),s(real,X2640))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11426,f10609]) ).
fof(f11426,plain,
( ! [X2640,X2641] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2640))),s(real,X2641))))
| sQ733_eqProxy(s(real,X2641),s(real,X2640)) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5970]) ).
fof(f11837,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11836]) ).
fof(f11836,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11216,f11710]) ).
fof(f11710,plain,
( ! [X1652,X1654,X1653] : sQ733_eqProxy(s(fun(X1652,bool),X1653),s(fun(X1652,bool),X1654))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11047,f10609]) ).
fof(f11047,plain,
( ! [X1652,X1654,X1653] :
( p(s(bool,i(s(fun(fun(X1652,bool),bool),i(s(fun(X1652,fun(fun(X1652,bool),bool)),in),s(X1652,sK721(X1652,X1653,X1654)))),s(fun(X1652,bool),X1653))))
| sQ733_eqProxy(s(fun(X1652,bool),X1653),s(fun(X1652,bool),X1654)) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6875]) ).
fof(f6875,plain,
! [X2,X0,X1] :
( sQ733_eqProxy(s(fun(X0,bool),X1),s(fun(X0,bool),X2))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK721(X0,X1,X2)))),s(fun(X0,bool),X1))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK721(X0,X1,X2)))),s(fun(X0,bool),X2)))) ),
inference(equality_proxy_replacement,[],[f5907,f5956]) ).
fof(f5907,plain,
! [X2,X0,X1] :
( s(fun(X0,bool),X1) = s(fun(X0,bool),X2)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK721(X0,X1,X2)))),s(fun(X0,bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK721(X0,X1,X2)))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f3583]) ).
fof(f3583,plain,
! [X2,X0,X1] :
( ? [X3] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1))))
<=> p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X2)))) )
<=> s(fun(X0,bool),X1) != s(fun(X0,bool),X2) ),
inference(rectify,[],[f1699]) ).
fof(f1699,axiom,
! [X3,X96,X14] :
( ? [X0] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
<=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X14)))) )
<=> s(fun(X3,bool),X96) != s(fun(X3,bool),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_EQUALu_SETS) ).
fof(f11216,plain,
( ! [X2122,X2123] : ~ sQ733_eqProxy(s(fun(num,bool),empty),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2122))),s(num,X2123))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6163]) ).
fof(f6163,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(fun(num,bool),empty),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,X1)))) ),
inference(equality_proxy_replacement,[],[f4624,f5956]) ).
fof(f4624,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,X1))))
| s(fun(num,bool),empty) != s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0))) ),
inference(cnf_transformation,[],[f3443]) ).
fof(f3443,plain,
! [X1,X0] :
( s(fun(num,bool),empty) = s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0)))
<=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X0))),s(num,X1)))) ),
inference(rectify,[],[f2110]) ).
fof(f2110,axiom,
! [X83,X84] :
( s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))) = s(fun(num,bool),empty)
<=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X83))),s(num,X84)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNUMSEGu_EMPTY) ).
fof(f11835,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11834]) ).
fof(f11834,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11589,f10609]) ).
fof(f11589,plain,
( ! [X3005] : p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),suc),s(num,X3005))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5903]) ).
fof(f5903,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),suc),s(num,X0)))))) ),
inference(cnf_transformation,[],[f3521]) ).
fof(f3521,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
<=> p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),suc),s(num,X0)))))) ),
inference(rectify,[],[f334]) ).
fof(f334,axiom,
! [X83] :
( p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),suc),s(num,X83))))))
<=> ~ p(s(bool,i(s(fun(num,bool),even),s(num,X83)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEVENu_conjunct1) ).
fof(f11833,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11832]) ).
fof(f11832,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11157,f10609]) ).
fof(f11157,plain,
( ! [X1965,X1967,X1966] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1965))),s(num,X1966))))),s(fun(num,real),X1967))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4453]) ).
fof(f11830,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11829]) ).
fof(f11829,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11828,f10609]) ).
fof(f11828,plain,
( ! [X1364,X1361,X1360,X1363,X1358,X1357] : p(s(bool,i(s(fun(fun(X1357,bool),bool),i(s(fun(X1357,fun(fun(X1357,bool),bool)),in),s(X1357,sK270(X1361,X1358,X1363,X1364,X1360,X1357)))),s(fun(X1357,bool),X1358))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10994,f11272]) ).
fof(f10994,plain,
( ! [X1362,X1364,X1361,X1359,X1360,X1363,X1358,X1357] :
( sQ733_eqProxy(s(real,i(s(fun(fun(X1357,real),real),i(s(fun(fun(X1357,bool),fun(fun(X1357,real),real)),sum),s(fun(X1357,bool),X1358))),s(fun(X1357,real),X1359))),s(real,i(s(fun(fun(X1360,real),real),i(s(fun(fun(X1360,bool),fun(fun(X1360,real),real)),sum),s(fun(X1360,bool),X1361))),s(fun(X1360,real),X1362))))
| p(s(bool,i(s(fun(fun(X1357,bool),bool),i(s(fun(X1357,fun(fun(X1357,bool),bool)),in),s(X1357,sK270(X1361,X1358,X1363,X1364,X1360,X1357)))),s(fun(X1357,bool),X1358)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6259]) ).
fof(f6259,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sQ733_eqProxy(s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X1))),s(fun(X6,real),X3))),s(real,i(s(fun(fun(X5,real),real),i(s(fun(fun(X5,bool),fun(fun(X5,real),real)),sum),s(fun(X5,bool),X0))),s(fun(X5,real),X7))))
| p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,sK269(X0,X1,X2,X3,X4,X5,X6,X7)))),s(fun(X5,bool),X0))))
| p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,sK270(X0,X1,X2,X4,X5,X6)))),s(fun(X6,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f4817,f5956]) ).
fof(f4817,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,sK269(X0,X1,X2,X3,X4,X5,X6,X7)))),s(fun(X5,bool),X0))))
| p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,sK270(X0,X1,X2,X4,X5,X6)))),s(fun(X6,bool),X1))))
| s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X1))),s(fun(X6,real),X3))) = s(real,i(s(fun(fun(X5,real),real),i(s(fun(fun(X5,bool),fun(fun(X5,real),real)),sum),s(fun(X5,bool),X0))),s(fun(X5,real),X7))) ),
inference(cnf_transformation,[],[f3988]) ).
fof(f3988,plain,
! [X1,X5,X6,X4,X0,X3,X7,X2] :
( s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X1))),s(fun(X6,real),X3))) = s(real,i(s(fun(fun(X5,real),real),i(s(fun(fun(X5,bool),fun(fun(X5,real),real)),sum),s(fun(X5,bool),X0))),s(fun(X5,real),X7)))
| ? [X9] :
( p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X9))),s(fun(X6,bool),X1))))
& ( s(X6,i(s(fun(X5,X6),X2),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))) != s(X6,X9)
| ~ p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))),s(fun(X5,bool),X0)))) ) )
| ? [X8] :
( ( ~ p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))),s(fun(X6,bool),X1))))
| s(X5,i(s(fun(X6,X5),X4),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) != s(X5,X8)
| s(real,i(s(fun(X5,real),X7),s(X5,X8))) != s(real,i(s(fun(X6,real),X3),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) )
& p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,X8))),s(fun(X5,bool),X0)))) ) ),
inference(flattening,[],[f3987]) ).
fof(f3987,plain,
! [X3,X5,X4,X2,X6,X1,X0,X7] :
( s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X1))),s(fun(X6,real),X3))) = s(real,i(s(fun(fun(X5,real),real),i(s(fun(fun(X5,bool),fun(fun(X5,real),real)),sum),s(fun(X5,bool),X0))),s(fun(X5,real),X7)))
| ? [X9] :
( p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X9))),s(fun(X6,bool),X1))))
& ( s(X6,i(s(fun(X5,X6),X2),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))) != s(X6,X9)
| ~ p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))),s(fun(X5,bool),X0)))) ) )
| ? [X8] :
( ( ~ p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))),s(fun(X6,bool),X1))))
| s(X5,i(s(fun(X6,X5),X4),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) != s(X5,X8)
| s(real,i(s(fun(X5,real),X7),s(X5,X8))) != s(real,i(s(fun(X6,real),X3),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) )
& p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,X8))),s(fun(X5,bool),X0)))) ) ),
inference(ennf_transformation,[],[f3477]) ).
fof(f3477,plain,
! [X3,X5,X4,X2,X6,X1,X0,X7] :
( ( ! [X9] :
( p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X9))),s(fun(X6,bool),X1))))
=> ( s(X6,i(s(fun(X5,X6),X2),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))) = s(X6,X9)
& p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,i(s(fun(X6,X5),X4),s(X6,X9))))),s(fun(X5,bool),X0)))) ) )
& ! [X8] :
( p(s(bool,i(s(fun(fun(X5,bool),bool),i(s(fun(X5,fun(fun(X5,bool),bool)),in),s(X5,X8))),s(fun(X5,bool),X0))))
=> ( p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))),s(fun(X6,bool),X1))))
& s(X5,i(s(fun(X6,X5),X4),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) = s(X5,X8)
& s(real,i(s(fun(X5,real),X7),s(X5,X8))) = s(real,i(s(fun(X6,real),X3),s(X6,i(s(fun(X5,X6),X2),s(X5,X8))))) ) ) )
=> s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X1))),s(fun(X6,real),X3))) = s(real,i(s(fun(fun(X5,real),real),i(s(fun(fun(X5,bool),fun(fun(X5,real),real)),sum),s(fun(X5,bool),X0))),s(fun(X5,real),X7))) ),
inference(rectify,[],[f2317]) ).
fof(f2317,axiom,
! [X96,X14,X23,X17,X87,X3,X9,X10] :
( ( ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> ( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,i(s(fun(X3,X9),X23),s(X3,X0))))),s(fun(X9,bool),X14))))
& s(real,i(s(fun(X3,real),X10),s(X3,X0))) = s(real,i(s(fun(X9,real),X17),s(X9,i(s(fun(X3,X9),X23),s(X3,X0)))))
& s(X3,X0) = s(X3,i(s(fun(X9,X3),X87),s(X9,i(s(fun(X3,X9),X23),s(X3,X0))))) ) )
& ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ( s(X9,X7) = s(X9,i(s(fun(X3,X9),X23),s(X3,i(s(fun(X9,X3),X87),s(X9,X7)))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X9,X3),X87),s(X9,X7))))),s(fun(X3,bool),X96)))) ) ) )
=> s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))) = s(real,i(s(fun(fun(X9,real),real),i(s(fun(fun(X9,bool),fun(fun(X9,real),real)),sum),s(fun(X9,bool),X14))),s(fun(X9,real),X17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_EQu_GENERALu_INVERSES) ).
fof(f11827,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11826]) ).
fof(f11826,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10996,f11272]) ).
fof(f10996,plain,
( ! [X1370,X1372,X1369,X1371] : sQ733_eqProxy(s(real,i(s(fun(fun(X1369,real),real),i(s(fun(fun(X1369,bool),fun(fun(X1369,real),real)),sum),s(fun(X1369,bool),X1370))),s(fun(X1369,real),X1371))),s(real,i(s(fun(fun(X1369,real),real),i(s(fun(fun(X1369,bool),fun(fun(X1369,real),real)),sum),s(fun(X1369,bool),X1370))),s(fun(X1369,real),X1372))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6509]) ).
fof(f6509,plain,
! [X2,X3,X0,X1] :
( sQ733_eqProxy(s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X2))),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X3))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK459(X0,X1,X2,X3)))),s(fun(X0,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f5305,f5956]) ).
fof(f5305,plain,
! [X2,X3,X0,X1] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X2))) = s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X3)))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK459(X0,X1,X2,X3)))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f3971]) ).
fof(f3971,plain,
! [X2,X0,X3,X1] :
( ? [X4] :
( s(real,i(s(fun(X0,real),X2),s(X0,X4))) != s(real,i(s(fun(X0,real),X3),s(X0,X4)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1)))) )
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X2))) = s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X3))) ),
inference(ennf_transformation,[],[f3461]) ).
fof(f3461,plain,
! [X3,X0,X1,X2] :
( ! [X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
=> s(real,i(s(fun(X0,real),X2),s(X0,X4))) = s(real,i(s(fun(X0,real),X3),s(X0,X4))) )
=> s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X2))) = s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X1))),s(fun(X0,real),X3))) ),
inference(rectify,[],[f2277]) ).
fof(f2277,axiom,
! [X698,X96,X17,X10] :
( ! [X0] :
( p(s(bool,i(s(fun(fun(X698,bool),bool),i(s(fun(X698,fun(fun(X698,bool),bool)),in),s(X698,X0))),s(fun(X698,bool),X96))))
=> s(real,i(s(fun(X698,real),X10),s(X698,X0))) = s(real,i(s(fun(X698,real),X17),s(X698,X0))) )
=> s(real,i(s(fun(fun(X698,real),real),i(s(fun(fun(X698,bool),fun(fun(X698,real),real)),sum),s(fun(X698,bool),X96))),s(fun(X698,real),X10))) = s(real,i(s(fun(fun(X698,real),real),i(s(fun(fun(X698,bool),fun(fun(X698,real),real)),sum),s(fun(X698,bool),X96))),s(fun(X698,real),X17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_EQ) ).
fof(f11825,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11824]) ).
fof(f11824,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11375,f10609]) ).
fof(f11375,plain,
( ! [X2508,X2507,X2506] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK128(X2506,X2507,X2508)))),s(num,i(s(fun(fun(X2508,bool),num),dimindex),s(fun(X2508,bool),univ))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4458]) ).
fof(f11823,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11822]) ).
fof(f11822,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10800,f11165]) ).
fof(f10800,plain,
( ! [X561] : ~ sP268(sK267(X561),X561)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4811]) ).
fof(f4811,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ sP268(sK267(X0),X0) ),
inference(cnf_transformation,[],[f3861]) ).
fof(f11821,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11820]) ).
fof(f11820,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f10797,f11165]) ).
fof(f10797,plain,
( ! [X558] : ~ sP268(sK267(X558),X558)
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4810]) ).
fof(f4810,plain,
! [X0] :
( ~ sP268(sK267(X0),X0)
| p(s(bool,i(s(fun(num,bool),X0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f3861]) ).
fof(f11818,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11817]) ).
fof(f11817,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11199,f10609]) ).
fof(f11199,plain,
( ! [X2078,X2079,X2077] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2077))),s(num,X2078))))),s(fun(num,real),X2079))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4451]) ).
fof(f11816,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11815]) ).
fof(f11815,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11584,f10609]) ).
fof(f11584,plain,
( ! [X2997] : p(s(bool,i(s(fun(num,bool),odd),s(num,X2997))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4397]) ).
fof(f4397,plain,
! [X0] :
( p(s(bool,i(s(fun(num,bool),odd),s(num,X0))))
| p(s(bool,i(s(fun(num,bool),even),s(num,X0)))) ),
inference(cnf_transformation,[],[f3523]) ).
fof(f3523,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(num,bool),even),s(num,X0))))
<=> p(s(bool,i(s(fun(num,bool),odd),s(num,X0)))) ),
inference(rectify,[],[f337]) ).
fof(f337,axiom,
! [X83] :
( p(s(bool,i(s(fun(num,bool),odd),s(num,X83))))
<=> ~ p(s(bool,i(s(fun(num,bool),even),s(num,X83)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_EVEN) ).
fof(f11813,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11812]) ).
fof(f11812,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11183,f10609]) ).
fof(f11183,plain,
( ! [X2031,X2032,X2030] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X2030),real),vectoru_norm),s(cart(real,X2030),X2031))))),s(real,i(s(fun(cart(real,X2030),real),vectoru_norm),s(cart(real,X2030),X2032))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4456]) ).
fof(f11811,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11810]) ).
fof(f11810,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11080,f11710]) ).
fof(f11080,plain,
( ! [X1804,X1805] : ~ sQ733_eqProxy(s(fun(X1804,bool),univ),s(fun(X1804,bool),X1805))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6482]) ).
fof(f6482,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(fun(X0,bool),univ),s(fun(X0,bool),X1))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),univ))),s(fun(X0,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f5262,f5956]) ).
fof(f5262,plain,
! [X0,X1] :
( s(fun(X0,bool),univ) != s(fun(X0,bool),X1)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),univ))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f3334]) ).
fof(f3334,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),univ))),s(fun(X0,bool),X1))))
<=> s(fun(X0,bool),univ) = s(fun(X0,bool),X1) ),
inference(rectify,[],[f1711]) ).
fof(f1711,axiom,
! [X3,X96] :
( s(fun(X3,bool),X96) = s(fun(X3,bool),univ)
<=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),univ))),s(fun(X3,bool),X96)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIVu_SUBSET) ).
fof(f11808,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11807]) ).
fof(f11807,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11806,f10609]) ).
fof(f11806,plain,
( ! [X1721,X1720,X1715,X1718,X1719,X1717,X1716] : p(s(bool,i(s(fun(fun(X1715,bool),bool),i(s(fun(X1715,fun(fun(X1715,bool),bool)),in),s(X1715,sK696(X1715,X1716,X1717,X1718,X1719,X1720,X1721)))),s(fun(X1715,bool),X1717))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11061,f11272]) ).
fof(f11061,plain,
( ! [X1721,X1720,X1715,X1718,X1719,X1717,X1716] :
( sQ733_eqProxy(s(real,i(s(fun(fun(X1715,real),real),i(s(fun(fun(X1715,bool),fun(fun(X1715,real),real)),sum),s(fun(X1715,bool),X1717))),s(fun(X1715,real),X1721))),s(real,i(s(fun(fun(X1719,real),real),i(s(fun(fun(X1719,bool),fun(fun(X1719,real),real)),sum),s(fun(X1719,bool),X1720))),s(fun(X1719,real),X1718))))
| p(s(bool,i(s(fun(fun(X1715,bool),bool),i(s(fun(X1715,fun(fun(X1715,bool),bool)),in),s(X1715,sK696(X1715,X1716,X1717,X1718,X1719,X1720,X1721)))),s(fun(X1715,bool),X1717)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6828]) ).
fof(f6828,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK696(X0,X1,X2,X3,X4,X5,X6)))),s(fun(X0,bool),X2))))
| sQ733_eqProxy(s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X2))),s(fun(X0,real),X6))),s(real,i(s(fun(fun(X4,real),real),i(s(fun(fun(X4,bool),fun(fun(X4,real),real)),sum),s(fun(X4,bool),X5))),s(fun(X4,real),X3))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK697(X0,X1,X2,X4,X5)))),s(fun(X4,bool),X5)))) ),
inference(equality_proxy_replacement,[],[f5859,f5956]) ).
fof(f5859,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK696(X0,X1,X2,X3,X4,X5,X6)))),s(fun(X0,bool),X2))))
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X2))),s(fun(X0,real),X6))) = s(real,i(s(fun(fun(X4,real),real),i(s(fun(fun(X4,bool),fun(fun(X4,real),real)),sum),s(fun(X4,bool),X5))),s(fun(X4,real),X3)))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK697(X0,X1,X2,X4,X5)))),s(fun(X4,bool),X5)))) ),
inference(cnf_transformation,[],[f4126]) ).
fof(f4126,plain,
! [X4,X2,X1,X5,X3,X0,X6] :
( ? [X7] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X5))))
& ( ! [X8] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
| s(X4,i(s(fun(X0,X4),X1),s(X0,X8))) != s(X4,X7) )
| ? [X10,X9] :
( s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X10)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X10))),s(fun(X0,bool),X2))))
& s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X9)))
& s(X0,X10) != s(X0,X9) ) ) )
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X2))),s(fun(X0,real),X6))) = s(real,i(s(fun(fun(X4,real),real),i(s(fun(fun(X4,bool),fun(fun(X4,real),real)),sum),s(fun(X4,bool),X5))),s(fun(X4,real),X3)))
| ? [X11] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X11))),s(fun(X0,bool),X2))))
& ( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))),s(fun(X4,bool),X5))))
| s(real,i(s(fun(X4,real),X3),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))) != s(real,i(s(fun(X0,real),X6),s(X0,X11))) ) ) ),
inference(flattening,[],[f4125]) ).
fof(f4125,plain,
! [X2,X0,X1,X4,X3,X5,X6] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X2))),s(fun(X0,real),X6))) = s(real,i(s(fun(fun(X4,real),real),i(s(fun(fun(X4,bool),fun(fun(X4,real),real)),sum),s(fun(X4,bool),X5))),s(fun(X4,real),X3)))
| ? [X7] :
( ( ! [X8] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
| s(X4,i(s(fun(X0,X4),X1),s(X0,X8))) != s(X4,X7) )
| ? [X9,X10] :
( s(X0,X10) != s(X0,X9)
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X10))),s(fun(X0,bool),X2))))
& s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X9)))
& s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X10)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2)))) ) )
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X5)))) )
| ? [X11] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X11))),s(fun(X0,bool),X2))))
& ( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))),s(fun(X4,bool),X5))))
| s(real,i(s(fun(X4,real),X3),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))) != s(real,i(s(fun(X0,real),X6),s(X0,X11))) ) ) ),
inference(ennf_transformation,[],[f3474]) ).
fof(f3474,plain,
! [X2,X0,X1,X4,X3,X5,X6] :
( ( ! [X7] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X5))))
=> ( ? [X8] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
& s(X4,i(s(fun(X0,X4),X1),s(X0,X8))) = s(X4,X7) )
& ! [X9,X10] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X10))),s(fun(X0,bool),X2))))
& s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X9)))
& s(X4,X7) = s(X4,i(s(fun(X0,X4),X1),s(X0,X10)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2)))) )
=> s(X0,X10) = s(X0,X9) ) ) )
& ! [X11] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X11))),s(fun(X0,bool),X2))))
=> ( s(real,i(s(fun(X4,real),X3),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))) = s(real,i(s(fun(X0,real),X6),s(X0,X11)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,i(s(fun(X0,X4),X1),s(X0,X11))))),s(fun(X4,bool),X5)))) ) ) )
=> s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X2))),s(fun(X0,real),X6))) = s(real,i(s(fun(fun(X4,real),real),i(s(fun(fun(X4,bool),fun(fun(X4,real),real)),sum),s(fun(X4,bool),X5))),s(fun(X4,real),X3))) ),
inference(rectify,[],[f2316]) ).
fof(f2316,axiom,
! [X3,X23,X96,X17,X9,X14,X10] :
( ( ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ( ? [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X9,X7) = s(X9,i(s(fun(X3,X9),X23),s(X3,X0))) )
& ! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X1))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X9,X7) = s(X9,i(s(fun(X3,X9),X23),s(X3,X0)))
& s(X9,X7) = s(X9,i(s(fun(X3,X9),X23),s(X3,X1))) )
=> s(X3,X0) = s(X3,X1) ) ) )
& ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> ( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,i(s(fun(X3,X9),X23),s(X3,X0))))),s(fun(X9,bool),X14))))
& s(real,i(s(fun(X3,real),X10),s(X3,X0))) = s(real,i(s(fun(X9,real),X17),s(X9,i(s(fun(X3,X9),X23),s(X3,X0))))) ) ) )
=> s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))) = s(real,i(s(fun(fun(X9,real),real),i(s(fun(fun(X9,bool),fun(fun(X9,real),real)),sum),s(fun(X9,bool),X14))),s(fun(X9,real),X17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_EQu_GENERAL) ).
fof(f11804,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11803]) ).
fof(f11803,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11802,f11221]) ).
fof(f11802,plain,
( sQ733_eqProxy(s(num,a0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,sK389))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11568,f10609]) ).
fof(f11568,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,a0))),s(num,b0))))
| sQ733_eqProxy(s(num,a0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,b0))),s(num,sK389))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6438]) ).
fof(f11800,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11799]) ).
fof(f11799,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11187,f10609]) ).
fof(f11187,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4659]) ).
fof(f11798,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11797]) ).
fof(f11797,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11142,f10609]) ).
fof(f11142,plain,
( ! [X1935,X1934] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1934))),s(num,X1935))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5213]) ).
fof(f11796,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11795]) ).
fof(f11795,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11070,f10609]) ).
fof(f11070,plain,
( ! [X1753] : p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),X1753))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5234]) ).
fof(f5234,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,sK432(X0,X1)))),s(fun(num,bool),X0))))
| p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),X0)))) ),
inference(cnf_transformation,[],[f3931]) ).
fof(f3931,plain,
! [X0] :
( p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),X0))))
<=> ? [X1] :
! [X2] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1))))
| ~ p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,X2))),s(fun(num,bool),X0)))) ) ),
inference(ennf_transformation,[],[f3354]) ).
fof(f3354,plain,
! [X0] :
( ? [X1] :
! [X2] :
( p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,X2))),s(fun(num,bool),X0))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) )
<=> p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),X0)))) ),
inference(rectify,[],[f1999]) ).
fof(f1999,axiom,
! [X96] :
( ? [X15] :
! [X0] :
( p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,X0))),s(fun(num,bool),X96))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X15)))) )
<=> p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),X96)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anumu_FINITE) ).
fof(f11794,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11793]) ).
fof(f11793,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11260,f10609]) ).
fof(f11260,plain,
( ! [X2231,X2230] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2230))),s(real,X2231))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4768]) ).
fof(f11792,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11791]) ).
fof(f11791,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11266,f10609]) ).
fof(f11266,plain,
( ! [X2244,X2245] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2244))),s(real,X2245))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5479]) ).
fof(f11788,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11787]) ).
fof(f11787,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11208,f10609]) ).
fof(f11208,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4713]) ).
fof(f4713,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK237))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f3654]) ).
fof(f11786,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11785]) ).
fof(f11785,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11162,f11272]) ).
fof(f11162,plain,
( ! [X1983,X1982,X1981,X1984] : sQ733_eqProxy(s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1981))),s(num,X1982))))),s(fun(num,real),X1983))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1981))),s(num,X1982))))),s(fun(num,real),X1984))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6647]) ).
fof(f6647,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,sK561(X0,X1,X2,X3)))))
| sQ733_eqProxy(s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1)))) ),
inference(equality_proxy_replacement,[],[f5531,f5956]) ).
fof(f5531,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,sK561(X0,X1,X2,X3)))))
| s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1))) ),
inference(cnf_transformation,[],[f3765]) ).
fof(f3765,plain,
! [X2,X0,X1,X3] :
( s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1)))
| ? [X4] :
( s(real,i(s(fun(num,real),X2),s(num,X4))) != s(real,i(s(fun(num,real),X1),s(num,X4)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X3))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X4)))) ) ),
inference(flattening,[],[f3764]) ).
fof(f3764,plain,
! [X3,X2,X0,X1] :
( s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1)))
| ? [X4] :
( s(real,i(s(fun(num,real),X2),s(num,X4))) != s(real,i(s(fun(num,real),X1),s(num,X4)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X4))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X3)))) ) ),
inference(ennf_transformation,[],[f3453]) ).
fof(f3453,plain,
! [X3,X2,X0,X1] :
( ! [X4] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X4))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,X3)))) )
=> s(real,i(s(fun(num,real),X2),s(num,X4))) = s(real,i(s(fun(num,real),X1),s(num,X4))) )
=> s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1))) ),
inference(rectify,[],[f2329]) ).
fof(f2329,axiom,
! [X84,X10,X17,X83] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X84))),s(num,X81))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,X83)))) )
=> s(real,i(s(fun(num,real),X10),s(num,X81))) = s(real,i(s(fun(num,real),X17),s(num,X81))) )
=> s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))))),s(fun(num,real),X10))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83))))),s(fun(num,real),X17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_EQu_NUMSEG) ).
fof(f11784,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11783]) ).
fof(f11783,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11570,f10609]) ).
fof(f11570,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK237))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4713]) ).
fof(f11782,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11781]) ).
fof(f11781,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11605,f10609]) ).
fof(f11605,plain,
( ! [X3026,X3027] : p(s(bool,i(s(fun(fun(X3026,bool),bool),infinite),s(fun(X3026,bool),X3027))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5751]) ).
fof(f11779,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11778]) ).
fof(f11778,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11604,f10609]) ).
fof(f11604,plain,
( ! [X3025] : p(s(bool,i(s(fun(num,bool),even),s(num,X3025))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4397]) ).
fof(f11777,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11776]) ).
fof(f11776,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11315,f10609]) ).
fof(f11315,plain,
( ! [X2404,X2403,X2402,X2401] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2401))),s(num,sK131(X2402,X2401,X2403,X2404)))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4476]) ).
fof(f4476,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,sK131(X0,X1,X2,X3)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X0))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X2))))),s(fun(num,real),X3)))))) ),
inference(cnf_transformation,[],[f3897]) ).
fof(f11775,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11774]) ).
fof(f11774,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11773,f11272]) ).
fof(f11773,plain,
( ! [X1494,X1493,X1490,X1492,X1489,X1491] : sQ733_eqProxy(s(real,i(s(fun(fun(X1489,real),real),i(s(fun(fun(X1489,bool),fun(fun(X1489,real),real)),sum),s(fun(X1489,bool),X1490))),s(fun(X1489,real),X1491))),s(real,i(s(fun(fun(X1492,real),real),i(s(fun(fun(X1492,bool),fun(fun(X1492,real),real)),sum),s(fun(X1492,bool),X1493))),s(fun(X1492,real),X1494))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11022,f10609]) ).
fof(f11022,plain,
( ! [X1494,X1493,X1492,X1490,X1489,X1491,X1495,X1496] :
( p(s(bool,i(s(fun(fun(X1492,bool),bool),i(s(fun(X1492,fun(fun(X1492,bool),bool)),in),s(X1492,sK269(X1493,X1490,X1495,X1491,X1496,X1492,X1489,X1494)))),s(fun(X1492,bool),X1493))))
| sQ733_eqProxy(s(real,i(s(fun(fun(X1489,real),real),i(s(fun(fun(X1489,bool),fun(fun(X1489,real),real)),sum),s(fun(X1489,bool),X1490))),s(fun(X1489,real),X1491))),s(real,i(s(fun(fun(X1492,real),real),i(s(fun(fun(X1492,bool),fun(fun(X1492,real),real)),sum),s(fun(X1492,bool),X1493))),s(fun(X1492,real),X1494)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6259]) ).
fof(f11771,plain,
( ~ spl734_255
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11766,f10608,f11768]) ).
fof(f11766,plain,
( ~ sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11132,f10609]) ).
fof(f11132,plain,
( ~ sQ733_eqProxy(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK285))),s(num,sK284))),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),p0),s(num,sK284))),s(num,sK285))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK283))),s(num,sK282))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6290]) ).
fof(f11765,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11764]) ).
fof(f11764,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11188,f10609]) ).
fof(f11188,plain,
( p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4715]) ).
fof(f11763,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11762]) ).
fof(f11762,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11359,f11189]) ).
fof(f11189,plain,
( ! [X2045,X2044,X2047,X2046] : sQ733_eqProxy(s(cart(X2044,X2045),X2046),s(cart(X2044,X2045),X2047))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6228]) ).
fof(f6228,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK255(X0,X1,X2,X3)))))
| sQ733_eqProxy(s(cart(X0,X1),X2),s(cart(X0,X1),X3)) ),
inference(equality_proxy_replacement,[],[f4758,f5956]) ).
fof(f4758,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK255(X0,X1,X2,X3)))))
| s(cart(X0,X1),X2) = s(cart(X0,X1),X3) ),
inference(cnf_transformation,[],[f4027]) ).
fof(f4027,plain,
! [X2,X1,X3,X0] :
( s(cart(X0,X1),X2) = s(cart(X0,X1),X3)
<=> ! [X4] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X4))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))))))
| s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X3))),s(num,X4))) = s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X2))),s(num,X4))) ) ),
inference(flattening,[],[f4026]) ).
fof(f4026,plain,
! [X2,X0,X1,X3] :
( s(cart(X0,X1),X2) = s(cart(X0,X1),X3)
<=> ! [X4] :
( s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X3))),s(num,X4))) = s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X2))),s(num,X4)))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X4)))) ) ),
inference(ennf_transformation,[],[f3140]) ).
fof(f3140,plain,
! [X2,X0,X1,X3] :
( s(cart(X0,X1),X2) = s(cart(X0,X1),X3)
<=> ! [X4] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X4)))) )
=> s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X3))),s(num,X4))) = s(X0,i(s(fun(num,X0),i(s(fun(cart(X0,X1),fun(num,X0)),d_),s(cart(X0,X1),X2))),s(num,X4))) ) ),
inference(rectify,[],[f2380]) ).
fof(f2380,axiom,
! [X3,X9,X0,X7] :
( ! [X81] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X81))),s(num,i(s(fun(fun(X9,bool),num),dimindex),s(fun(X9,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X81)))) )
=> s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X9),fun(num,X3)),d_),s(cart(X3,X9),X0))),s(num,X81))) = s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X9),fun(num,X3)),d_),s(cart(X3,X9),X7))),s(num,X81))) )
<=> s(cart(X3,X9),X0) = s(cart(X3,X9),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARTu_EQ) ).
fof(f11359,plain,
( ! [X2489,X2488] : ~ sQ733_eqProxy(s(cart(real,X2488),i(s(fun(num,cart(real,X2488)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(cart(real,X2488),X2489))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6612]) ).
fof(f6612,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(cart(real,X1),X0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
inference(equality_proxy_replacement,[],[f5465,f5956]) ).
fof(f5465,plain,
! [X0,X1] :
( s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(cart(real,X1),X0)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
inference(cnf_transformation,[],[f2980]) ).
fof(f2980,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
<=> s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X1),X0) ),
inference(rectify,[],[f2855]) ).
fof(f2855,axiom,
! [X0,X1024] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1024),real),vectoru_norm),s(cart(real,X1024),X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
<=> s(cart(real,X1024),X0) = s(cart(real,X1024),i(s(fun(num,cart(real,X1024)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LEu_0) ).
fof(f11761,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11760]) ).
fof(f11760,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11158,f10609]) ).
fof(f11158,plain,
( ! [X1970,X1969,X1968,X1971] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1968))),s(num,X1969))))),s(fun(num,real),X1970))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1968))),s(num,X1969))))),s(fun(num,real),X1971))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4476]) ).
fof(f11759,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11758]) ).
fof(f11758,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11609,f10609]) ).
fof(f11609,plain,
( ! [X3033,X3034] : p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,sK432(X3033,X3034)))),s(fun(num,bool),X3033))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5234]) ).
fof(f11756,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11755]) ).
fof(f11755,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11754,f10609]) ).
fof(f11754,plain,
( ! [X2649,X2648] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2648))),s(real,X2649))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11430,f11272]) ).
fof(f11430,plain,
( ! [X2649,X2648] :
( sQ733_eqProxy(s(real,X2648),s(real,X2649))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2648))),s(real,X2649)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6114]) ).
fof(f11753,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11752]) ).
fof(f11752,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11213,f11272]) ).
fof(f11213,plain,
( ! [X2114,X2115,X2116,X2117] : sQ733_eqProxy(s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2114))),s(num,X2115))))),s(fun(num,real),X2116))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X2114))),s(num,X2115))))),s(fun(num,real),X2117))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6646]) ).
fof(f6646,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK561(X0,X1,X2,X3)))),s(num,X3))))
| sQ733_eqProxy(s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1)))) ),
inference(equality_proxy_replacement,[],[f5532,f5956]) ).
fof(f5532,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK561(X0,X1,X2,X3)))),s(num,X3))))
| s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X0))),s(num,X3))))),s(fun(num,real),X1))) ),
inference(cnf_transformation,[],[f3765]) ).
fof(f11751,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11750]) ).
fof(f11750,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11749,f11272]) ).
fof(f11749,plain,
( ! [X1591,X1589,X1594,X1593,X1592,X1590] : sQ733_eqProxy(s(real,i(s(fun(fun(X1589,real),real),i(s(fun(fun(X1589,bool),fun(fun(X1589,real),real)),sum),s(fun(X1589,bool),X1590))),s(fun(X1589,real),X1591))),s(real,i(s(fun(fun(X1592,real),real),i(s(fun(fun(X1592,bool),fun(fun(X1592,real),real)),sum),s(fun(X1592,bool),X1593))),s(fun(X1592,real),X1594))))
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11039,f10609]) ).
fof(f11039,plain,
( ! [X1591,X1595,X1589,X1594,X1593,X1592,X1590] :
( p(s(bool,i(s(fun(fun(X1592,bool),bool),i(s(fun(X1592,fun(fun(X1592,bool),bool)),in),s(X1592,sK697(X1589,X1595,X1590,X1592,X1593)))),s(fun(X1592,bool),X1593))))
| sQ733_eqProxy(s(real,i(s(fun(fun(X1589,real),real),i(s(fun(fun(X1589,bool),fun(fun(X1589,real),real)),sum),s(fun(X1589,bool),X1590))),s(fun(X1589,real),X1591))),s(real,i(s(fun(fun(X1592,real),real),i(s(fun(fun(X1592,bool),fun(fun(X1592,real),real)),sum),s(fun(X1592,bool),X1593))),s(fun(X1592,real),X1594)))) )
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6828]) ).
fof(f11748,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11747]) ).
fof(f11747,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11505,f11272]) ).
fof(f11505,plain,
( ! [X2835] : sQ733_eqProxy(s(real,X2835),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6710]) ).
fof(f6710,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f5643,f5956]) ).
fof(f5643,plain,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))) ),
inference(cnf_transformation,[],[f1144]) ).
fof(f1144,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_CASES) ).
fof(f11739,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11738]) ).
fof(f11738,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11425,f10609]) ).
fof(f11425,plain,
( ! [X2639,X2638] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2638))),s(real,X2639))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5340]) ).
fof(f11737,plain,
( ~ spl734_253
| spl734_254
| ~ spl734_251 ),
inference(avatar_split_clause,[],[f11636,f10608,f11734,f11730]) ).
fof(f11734,plain,
( spl734_254
<=> sQ733_eqProxy(s(bool,a0),s(bool,b0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_254])]) ).
fof(f11636,plain,
( sQ733_eqProxy(s(bool,a0),s(bool,b0))
| ~ sP9
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5990]) ).
fof(f5990,plain,
( sQ733_eqProxy(s(bool,a0),s(bool,b0))
| p(s(bool,b0))
| ~ sP9 ),
inference(equality_proxy_replacement,[],[f4187,f5956]) ).
fof(f4187,plain,
( p(s(bool,b0))
| ~ sP9
| s(bool,a0) = s(bool,b0) ),
inference(cnf_transformation,[],[f4010]) ).
fof(f11728,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11727]) ).
fof(f11727,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11601,f10609]) ).
fof(f11601,plain,
( ! [X3022] : p(s(bool,i(s(fun(num,bool),even),s(num,X3022))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5903]) ).
fof(f11726,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11725]) ).
fof(f11725,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11314,f10609]) ).
fof(f11314,plain,
( ! [X2397,X2398,X2399,X2400] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK131(X2397,X2398,X2399,X2400)))),s(num,X2399))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4477]) ).
fof(f11722,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11721]) ).
fof(f11721,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11253,f10609]) ).
fof(f11253,plain,
( ! [X2196,X2197] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2196))),s(real,X2197))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4322]) ).
fof(f11716,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11715]) ).
fof(f11715,plain,
( $false
| ~ spl734_251 ),
inference(subsumption_resolution,[],[f11583,f10609]) ).
fof(f11583,plain,
( ! [X2996] : p(s(bool,i(s(fun(num,bool),odd),s(num,X2996))))
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4135]) ).
fof(f11709,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11369]) ).
fof(f11369,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5222]) ).
fof(f5222,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0)))))))),
inference(cnf_transformation,[],[f3328]) ).
fof(f3328,plain,
! [X1,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X0)))))))),
inference(rectify,[],[f1148]) ).
fof(f1148,axiom,
! [X7,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X7))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_SUBu_ABS) ).
fof(f11708,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11337]) ).
fof(f11337,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4995]) ).
fof(f4995,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X0))),s(cart(real,X1),X0)))))),
inference(cnf_transformation,[],[f2973]) ).
fof(f2973,plain,
! [X1,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X0))),s(cart(real,X1),X0)))))),
inference(rectify,[],[f2807]) ).
fof(f2807,axiom,
! [X0,X1006] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1006),real),i(s(fun(cart(real,X1006),fun(cart(real,X1006),real)),dot),s(cart(real,X1006),X0))),s(cart(real,X1006),X0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDOTu_POSu_LE) ).
fof(f11707,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11177]) ).
fof(f11177,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5921]) ).
fof(f5921,plain,
! [X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),X0)))))),
inference(cnf_transformation,[],[f3340]) ).
fof(f3340,plain,
! [X1,X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),X0)))))),
inference(rectify,[],[f2364]) ).
fof(f2364,axiom,
! [X96,X3] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(X3,bool),num),dimindex),s(fun(X3,bool),X96)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMINDEXu_GEu_1) ).
fof(f11706,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11239]) ).
fof(f11239,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4796]) ).
fof(f4796,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n10,bool),fun(num,bool)),hasu_size),s(fun(n10,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),
inference(cnf_transformation,[],[f2403]) ).
fof(f2403,axiom,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n10,bool),fun(num,bool)),hasu_size),s(fun(n10,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHASu_SIZEu_1) ).
fof(f11705,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11171]) ).
fof(f11171,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4524]) ).
fof(f4524,plain,
! [X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,X0))),s(num,X1))))))),s(num,X0)))),
inference(cnf_transformation,[],[f3492]) ).
fof(f3492,plain,
! [X1,X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,X0))),s(num,X1))))))),s(num,X0)))),
inference(rectify,[],[f405]) ).
fof(f405,axiom,
! [X84,X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X83))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,X84))),s(num,X83))))))),s(num,X84)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIVu_MULu_LE) ).
fof(f11704,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11620]) ).
fof(f11620,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4913]) ).
fof(f4913,plain,
! [X0] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),infinite),s(fun(cart(real,X0),bool),univ)))),
inference(cnf_transformation,[],[f3002]) ).
fof(f3002,plain,
! [X0] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),infinite),s(fun(cart(real,X0),bool),univ)))),
inference(rectify,[],[f2795]) ).
fof(f2795,axiom,
! [X732] : p(s(bool,i(s(fun(fun(cart(real,X732),bool),bool),infinite),s(fun(cart(real,X732),bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEUCLIDEANu_SPACEu_INFINITE) ).
fof(f11703,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11331]) ).
fof(f11331,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4165]) ).
fof(f4165,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X0)))))),
inference(cnf_transformation,[],[f3212]) ).
fof(f3212,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X0)))))),
inference(rectify,[],[f1278]) ).
fof(f1278,axiom,
! [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_POW2) ).
fof(f11702,plain,
( ~ spl734_2
| ~ spl734_251 ),
inference(avatar_contradiction_clause,[],[f11380]) ).
fof(f11380,plain,
( $false
| ~ spl734_2
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6922]) ).
fof(f11701,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11493]) ).
fof(f11493,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5520]) ).
fof(f5520,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK556(X0))))))),
inference(cnf_transformation,[],[f3104]) ).
fof(f3104,plain,
! [X0] :
? [X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))),
inference(rectify,[],[f1301]) ).
fof(f1301,axiom,
! [X0] :
? [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ARCHu_LT) ).
fof(f11700,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11378]) ).
fof(f11378,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4434]) ).
fof(f11699,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11342]) ).
fof(f11342,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5622]) ).
fof(f5622,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X0))),s(real,X1))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X1)))))))),
inference(cnf_transformation,[],[f3313]) ).
fof(f3313,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X0))),s(real,X1))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X1)))))))),
inference(rectify,[],[f1132]) ).
fof(f1132,axiom,
! [X0,X7] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X0))),s(real,X7))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_TRIANGLE) ).
fof(f11698,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11475]) ).
fof(f11475,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4982]) ).
fof(f4982,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X0)))))))),
inference(cnf_transformation,[],[f2820]) ).
fof(f2820,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X0)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQUAREu_BOUNDu_LEMMA) ).
fof(f11697,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11191]) ).
fof(f11191,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5844]) ).
fof(f5844,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK695(X0,X1,X2))))),
inference(cnf_transformation,[],[f3143]) ).
fof(f3143,plain,
! [X1,X0,X2] :
? [X3] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3))))
& ! [X4] : s(X2,i(s(fun(num,X2),i(s(fun(cart(X2,X1),fun(num,X2)),d_),s(cart(X2,X1),X4))),s(num,X3))) = s(X2,i(s(fun(num,X2),i(s(fun(cart(X2,X1),fun(num,X2)),d_),s(cart(X2,X1),X4))),s(num,X0))) ),
inference(rectify,[],[f2385]) ).
fof(f2385,axiom,
! [X81,X732,X3] :
? [X87] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X87))))
& ! [X0] : s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X732),fun(num,X3)),d_),s(cart(X3,X732),X0))),s(num,X81))) = s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X732),fun(num,X3)),d_),s(cart(X3,X732),X0))),s(num,X87)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X87))),s(num,i(s(fun(fun(X732,bool),num),dimindex),s(fun(X732,bool),univ)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_INDEXu_INRANGE) ).
fof(f11696,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11494]) ).
fof(f11494,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5938]) ).
fof(f5938,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(cnf_transformation,[],[f1079]) ).
fof(f1079,axiom,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_01) ).
fof(f11695,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11355]) ).
fof(f11355,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4911]) ).
fof(f4911,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X2))),s(cart(real,X0),X1)))))))))),
inference(cnf_transformation,[],[f2986]) ).
fof(f2986,plain,
! [X1,X0,X2] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X2))),s(cart(real,X0),X1)))))))))),
inference(rectify,[],[f2866]) ).
fof(f2866,axiom,
! [X732,X7,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X7))))),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),i(s(fun(cart(real,X732),cart(real,X732)),i(s(fun(cart(real,X732),fun(cart(real,X732),cart(real,X732))),vectoru_sub),s(cart(real,X732),X0))),s(cart(real,X732),X7)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_TRIANGLEu_SUB) ).
fof(f11694,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11361]) ).
fof(f11361,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5094]) ).
fof(f5094,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(cnf_transformation,[],[f1078]) ).
fof(f1078,axiom,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_01) ).
fof(f11693,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11477]) ).
fof(f11477,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4194]) ).
fof(f4194,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,sK10(X0))))))),
inference(cnf_transformation,[],[f3219]) ).
fof(f3219,plain,
! [X0] :
? [X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X1)))))),
inference(rectify,[],[f2715]) ).
fof(f2715,axiom,
! [X0] :
? [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ARCHu_POW2) ).
fof(f11692,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11326]) ).
fof(f11326,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5053]) ).
fof(f5053,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))),
inference(cnf_transformation,[],[f1283]) ).
fof(f1283,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_POWu_2) ).
fof(f11691,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11210]) ).
fof(f11210,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4793]) ).
fof(f4793,plain,
! [X2,X3,X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK265(X0,X1,X2,X3)))),s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ)))))),
inference(cnf_transformation,[],[f3141]) ).
fof(f3141,plain,
! [X2,X1,X0,X3] :
? [X4] :
( ! [X6] : s(X2,i(s(fun(num,X2),i(s(fun(cart(X2,X0),fun(num,X2)),d_),s(cart(X2,X0),X6))),s(num,X3))) = s(X2,i(s(fun(num,X2),i(s(fun(cart(X2,X0),fun(num,X2)),d_),s(cart(X2,X0),X6))),s(num,X4)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X4))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X4))),s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))))))
& ! [X5] : s(X1,i(s(fun(num,X1),i(s(fun(cart(X1,X0),fun(num,X1)),d_),s(cart(X1,X0),X5))),s(num,X4))) = s(X1,i(s(fun(num,X1),i(s(fun(cart(X1,X0),fun(num,X1)),d_),s(cart(X1,X0),X5))),s(num,X3))) ),
inference(rectify,[],[f2386]) ).
fof(f2386,axiom,
! [X732,X3,X9,X81] :
? [X87] :
( ! [X0] : s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X732),fun(num,X3)),d_),s(cart(X3,X732),X0))),s(num,X81))) = s(X3,i(s(fun(num,X3),i(s(fun(cart(X3,X732),fun(num,X3)),d_),s(cart(X3,X732),X0))),s(num,X87)))
& ! [X7] : s(X9,i(s(fun(num,X9),i(s(fun(cart(X9,X732),fun(num,X9)),d_),s(cart(X9,X732),X7))),s(num,X81))) = s(X9,i(s(fun(num,X9),i(s(fun(cart(X9,X732),fun(num,X9)),d_),s(cart(X9,X732),X7))),s(num,X87)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X87))),s(num,i(s(fun(fun(X732,bool),num),dimindex),s(fun(X732,bool),univ))))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X87)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_INDEXu_INRANGEu_2) ).
fof(f11690,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11169]) ).
fof(f11169,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5756]) ).
fof(f5756,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,X0)))),
inference(cnf_transformation,[],[f3358]) ).
fof(f3358,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,X0)))),
inference(rectify,[],[f275]) ).
fof(f275,axiom,
! [X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,X83)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEu_0) ).
fof(f11689,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11368]) ).
fof(f11368,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4440]) ).
fof(f4440,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X1)))))))),
inference(cnf_transformation,[],[f3312]) ).
fof(f3312,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X1))))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X1)))))))),
inference(rectify,[],[f1149]) ).
fof(f1149,axiom,
! [X0,X7] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X7))))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_SUBu_ABS) ).
fof(f11688,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11377]) ).
fof(f11377,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5919]) ).
fof(f5919,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),x))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),y))))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),x))),s(cart(real,X0),y)))))))),
inference(cnf_transformation,[],[f2934]) ).
fof(f2934,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),x))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),y))))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),x))),s(cart(real,X0),y)))))))),
inference(rectify,[],[f2873]) ).
fof(f2873,axiom,
! [X1034] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,X1034),real),vectoru_norm),s(cart(real,X1034),x))))),s(real,i(s(fun(cart(real,X1034),real),vectoru_norm),s(cart(real,X1034),y))))))))),s(real,i(s(fun(cart(real,X1034),real),vectoru_norm),s(cart(real,X1034),i(s(fun(cart(real,X1034),cart(real,X1034)),i(s(fun(cart(real,X1034),fun(cart(real,X1034),cart(real,X1034))),vectoru_sub),s(cart(real,X1034),x))),s(cart(real,X1034),y)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_SUBu_NORM) ).
fof(f11687,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11214]) ).
fof(f11214,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5845]) ).
fof(f5845,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK695(X0,X1,X2)))),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ)))))),
inference(cnf_transformation,[],[f3143]) ).
fof(f11686,plain,
( ~ spl734_3
| ~ spl734_251 ),
inference(avatar_contradiction_clause,[],[f11474]) ).
fof(f11474,plain,
( $false
| ~ spl734_3
| ~ spl734_251 ),
inference(resolution,[],[f10609,f6930]) ).
fof(f6930,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_3 ),
inference(avatar_component_clause,[],[f6928]) ).
fof(f6928,plain,
( spl734_3
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_3])]) ).
fof(f11685,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11324]) ).
fof(f11324,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5731]) ).
fof(f5731,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0)))))),
inference(cnf_transformation,[],[f1039]) ).
fof(f1039,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_SQUARE) ).
fof(f11684,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11084]) ).
fof(f11084,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4226]) ).
fof(f4226,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),univ)))),
inference(cnf_transformation,[],[f3332]) ).
fof(f3332,plain,
! [X1,X0] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),univ)))),
inference(rectify,[],[f1710]) ).
fof(f1710,axiom,
! [X3,X96] : p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X96))),s(fun(X3,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSETu_UNIV) ).
fof(f11683,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11343]) ).
fof(f11343,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5779]) ).
fof(f5779,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X2),real),i(s(fun(cart(real,X2),fun(cart(real,X2),real)),dot),s(cart(real,X2),X1))),s(cart(real,X2),X0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0)))))))),
inference(cnf_transformation,[],[f2944]) ).
fof(f2944,plain,
! [X0,X1,X2] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X2),real),i(s(fun(cart(real,X2),fun(cart(real,X2),real)),dot),s(cart(real,X2),X1))),s(cart(real,X2),X0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0)))))))),
inference(rectify,[],[f2862]) ).
fof(f2862,axiom,
! [X7,X0,X732] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X7))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_CAUCHYu_SCHWARZu_ABS) ).
fof(f11682,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11611]) ).
fof(f11611,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5374]) ).
fof(f5374,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0)))))),
inference(cnf_transformation,[],[f3455]) ).
fof(f3455,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X0)))))),
inference(rectify,[],[f2101]) ).
fof(f2101,axiom,
! [X83,X84] : p(s(bool,i(s(fun(fun(num,bool),bool),finite),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_NUMSEG) ).
fof(f11681,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11065]) ).
fof(f11065,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4258]) ).
fof(f4258,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),univ)))),
inference(cnf_transformation,[],[f3331]) ).
fof(f3331,plain,
! [X1,X0] : p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),univ)))),
inference(rectify,[],[f1685]) ).
fof(f1685,axiom,
! [X0,X3] : p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINu_UNIV) ).
fof(f11680,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11178]) ).
fof(f11178,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5846]) ).
fof(f5846,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),suc),s(num,X0)))))),
inference(cnf_transformation,[],[f3565]) ).
fof(f3565,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),suc),s(num,X0)))))),
inference(rectify,[],[f2409]) ).
fof(f2409,axiom,
! [X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),suc),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHypermapo_GEu_1) ).
fof(f11679,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11190]) ).
fof(f11190,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4794]) ).
fof(f4794,plain,
! [X2,X3,X0,X1] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,sK265(X0,X1,X2,X3))))),
inference(cnf_transformation,[],[f3141]) ).
fof(f11678,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11133]) ).
fof(f11133,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4721]) ).
fof(f4721,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
inference(cnf_transformation,[],[f3347]) ).
fof(f3347,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
inference(rectify,[],[f277]) ).
fof(f277,axiom,
! [X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X83))),s(num,X83)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEu_REFL) ).
fof(f11677,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f10983]) ).
fof(f10983,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5290]) ).
fof(f5290,plain,
! [X0,X1] : p(s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,sK455(X0,X1)))),s(bool,sK454(X0,X1)))),s(bool,sK456(X0,X1))))),
inference(cnf_transformation,[],[f3536]) ).
fof(f3536,plain,
! [X0,X1] :
? [X3,X4,X2] :
( ? [X5] :
( ? [X6] :
( ( ( s(num,X1) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X3))),s(num,X0))))),s(num,X4)))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X4))),s(num,X0)))) )
<=> p(s(bool,X6)) )
& p(s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,X5))),s(bool,X2))),s(bool,X6)))) )
& ( p(s(bool,X5))
<=> s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X0) ) )
& ( p(s(bool,X2))
<=> ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X3)
& s(num,X4) = s(num,X1) ) ) ),
inference(rectify,[],[f391]) ).
fof(f391,axiom,
! [X83,X84] :
? [X24,X4,X5] :
( ? [X88] :
( ? [X89] :
( ( p(s(bool,X89))
<=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,X5))),s(num,X83))))
& s(num,X84) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X4))),s(num,X83))))),s(num,X5))) ) )
& p(s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,X88))),s(bool,X24))),s(bool,X89)))) )
& ( p(s(bool,X88))
<=> s(num,X83) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) ) )
& ( ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X4)
& s(num,X84) = s(num,X5) )
<=> p(s(bool,X24)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIVMODu_EXISTu_0) ).
fof(f11676,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11619]) ).
fof(f11619,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5107]) ).
fof(f5107,plain,
p(s(bool,i(s(fun(fun(num,bool),bool),infinite),s(fun(num,bool),univ)))),
inference(cnf_transformation,[],[f2002]) ).
fof(f2002,axiom,
p(s(bool,i(s(fun(fun(num,bool),bool),infinite),s(fun(num,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anumu_INFINITE) ).
fof(f11675,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11226]) ).
fof(f11226,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5518]) ).
fof(f5518,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),suc),s(num,X0)))))),
inference(cnf_transformation,[],[f3548]) ).
fof(f3548,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),suc),s(num,X0)))))),
inference(rectify,[],[f276]) ).
fof(f276,axiom,
! [X83] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),suc),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLTu_0) ).
fof(f11674,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11600]) ).
fof(f11600,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5218]) ).
fof(f5218,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X0)))))),
inference(cnf_transformation,[],[f3517]) ).
fof(f3517,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X0)))))),
inference(rectify,[],[f347]) ).
fof(f347,axiom,
! [X83] : p(s(bool,i(s(fun(num,bool),even),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEVENu_DOUBLE) ).
fof(f11673,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11607]) ).
fof(f11607,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4631]) ).
fof(f4631,plain,
p(s(bool,i(s(fun(fun(bool,bool),bool),finite),s(fun(bool,bool),univ)))),
inference(cnf_transformation,[],[f1986]) ).
fof(f1986,axiom,
p(s(bool,i(s(fun(fun(bool,bool),bool),finite),s(fun(bool,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_BOOL) ).
fof(f11672,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11357]) ).
fof(f11357,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5394]) ).
fof(f5394,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,X2),real),i(s(fun(cart(real,X2),fun(cart(real,X2),real)),dot),s(cart(real,X2),X1))),s(cart(real,X2),X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(cnf_transformation,[],[f2917]) ).
fof(f2917,plain,
! [X1,X0,X2] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,X2),real),i(s(fun(cart(real,X2),fun(cart(real,X2),real)),dot),s(cart(real,X2),X1))),s(cart(real,X2),X0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X0))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(rectify,[],[f2864]) ).
fof(f2864,axiom,
! [X7,X0,X732] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X7))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X7))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_CAUCHYu_SCHWARZu_DIV) ).
fof(f11671,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11251]) ).
fof(f11251,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5915]) ).
fof(f5915,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))),
inference(cnf_transformation,[],[f969]) ).
fof(f969,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_REFL) ).
fof(f11670,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11462]) ).
fof(f11462,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4561]) ).
fof(f4561,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X0)))))),
inference(cnf_transformation,[],[f3220]) ).
fof(f3220,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X0)))))),
inference(rectify,[],[f1277]) ).
fof(f1277,axiom,
! [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_POW2) ).
fof(f11669,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11353]) ).
fof(f11353,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4769]) ).
fof(f4769,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))))),
inference(cnf_transformation,[],[f2903]) ).
fof(f2903,plain,
! [X2,X1,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))))),
inference(rectify,[],[f2861]) ).
fof(f2861,axiom,
! [X732,X7,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X7))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_CAUCHYu_SCHWARZ) ).
fof(f11668,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11240]) ).
fof(f11240,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4666]) ).
fof(f4666,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n3,bool),fun(num,bool)),hasu_size),s(fun(n3,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(cnf_transformation,[],[f2405]) ).
fof(f2405,axiom,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n3,bool),fun(num,bool)),hasu_size),s(fun(n3,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHASu_SIZEu_3) ).
fof(f11667,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11354]) ).
fof(f11354,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4853]) ).
fof(f4853,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),X0))),s(cart(real,X1),X2))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2)))))))),
inference(cnf_transformation,[],[f2994]) ).
fof(f2994,plain,
! [X2,X1,X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),X0))),s(cart(real,X1),X2))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X0))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2)))))))),
inference(rectify,[],[f2865]) ).
fof(f2865,axiom,
! [X0,X1031,X7] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X1031),real),vectoru_norm),s(cart(real,X1031),i(s(fun(cart(real,X1031),cart(real,X1031)),i(s(fun(cart(real,X1031),fun(cart(real,X1031),cart(real,X1031))),vectoru_add),s(cart(real,X1031),X0))),s(cart(real,X1031),X7))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X1031),real),vectoru_norm),s(cart(real,X1031),X0))))),s(real,i(s(fun(cart(real,X1031),real),vectoru_norm),s(cart(real,X1031),X7)))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_TRIANGLE) ).
fof(f11666,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11654]) ).
fof(f11654,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5322]) ).
fof(f5322,plain,
p(s(bool,sK471)),
inference(cnf_transformation,[],[f3067]) ).
fof(f3067,plain,
? [X0] : p(s(bool,X0)),
inference(rectify,[],[f136]) ).
fof(f136,axiom,
? [X19] : p(s(bool,X19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_ONEu_REP) ).
fof(f11665,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11367]) ).
fof(f11367,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4936]) ).
fof(f4936,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))),
inference(cnf_transformation,[],[f1135]) ).
fof(f1135,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_POS) ).
fof(f11664,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11618]) ).
fof(f11618,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5715]) ).
fof(f5715,plain,
p(s(bool,i(s(fun(fun(real,bool),bool),infinite),s(fun(real,bool),univ)))),
inference(cnf_transformation,[],[f2012]) ).
fof(f2012,axiom,
p(s(bool,i(s(fun(fun(real,bool),bool),infinite),s(fun(real,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arealu_INFINITE) ).
fof(f11663,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11362]) ).
fof(f11362,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5824]) ).
fof(f11662,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11282]) ).
fof(f11282,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5895]) ).
fof(f5895,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK716(X0))))))),
inference(cnf_transformation,[],[f3136]) ).
fof(f3136,plain,
! [X0] :
? [X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))),
inference(rectify,[],[f1300]) ).
fof(f1300,axiom,
! [X0] :
? [X83] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X83)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ARCHu_SIMPLE) ).
fof(f11661,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11279]) ).
fof(f11279,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f5301]) ).
fof(f5301,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))),
inference(cnf_transformation,[],[f1139]) ).
fof(f1139,axiom,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_LE) ).
fof(f11660,plain,
~ spl734_251,
inference(avatar_contradiction_clause,[],[f11241]) ).
fof(f11241,plain,
( $false
| ~ spl734_251 ),
inference(resolution,[],[f10609,f4646]) ).
fof(f4646,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n20,bool),fun(num,bool)),hasu_size),s(fun(n20,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
inference(cnf_transformation,[],[f2404]) ).
fof(f2404,axiom,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(n20,bool),fun(num,bool)),hasu_size),s(fun(n20,bool),univ))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHASu_SIZEu_2) ).
fof(f10614,plain,
( spl734_251
| ~ spl734_252
| spl734_1 ),
inference(avatar_split_clause,[],[f10605,f6917,f10611,f10608]) ).
fof(f10611,plain,
( spl734_252
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK418(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_252])]) ).
fof(f10605,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK418(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ p(s(bool,X0)) )
| spl734_1 ),
inference(resolution,[],[f9482,f5196]) ).
fof(f5196,plain,
! [X2,X0,X1] :
( sP417(X2,X1,X0)
| ~ p(s(bool,X2))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK418(X0,X1))))) ),
inference(cnf_transformation,[],[f3041]) ).
fof(f3041,plain,
! [X1,X0,X2] :
( ( ! [X3] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
& p(s(bool,X2)) )
<=> ! [X4] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4))))
& p(s(bool,X2)) ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X3,X6] :
( ( ! [X0] : p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
& p(s(bool,X6)) )
<=> ! [X0] :
( p(s(bool,X6))
& p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aRIGHTu_ANDu_FORALLu_THM) ).
fof(f9482,plain,
( ! [X43] : ~ sP417(X43,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5195]) ).
fof(f5195,plain,
! [X2,X0,X1,X4] :
( ~ sP417(X2,X1,X0)
| p(s(bool,i(s(fun(X1,bool),X0),s(X1,X4)))) ),
inference(cnf_transformation,[],[f3041]) ).
fof(f10601,plain,
( ~ spl734_250
| spl734_18 ),
inference(avatar_split_clause,[],[f10596,f7239,f10598]) ).
fof(f10598,plain,
( spl734_250
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK253(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_250])]) ).
fof(f7239,plain,
( spl734_18
<=> sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_18])]) ).
fof(f10596,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK253(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| spl734_18 ),
inference(resolution,[],[f7241,f4750]) ).
fof(f4750,plain,
! [X1,X5] :
( ~ p(s(bool,i(s(fun(X1,bool),X5),s(X1,sK253(X1,X5)))))
| sP251(X5,X1) ),
inference(cnf_transformation,[],[f3059]) ).
fof(f7241,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| spl734_18 ),
inference(avatar_component_clause,[],[f7239]) ).
fof(f10592,plain,
( spl734_249
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10524,f7702,f10589]) ).
fof(f10589,plain,
( spl734_249
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_249])]) ).
fof(f7702,plain,
( spl734_33
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_33])]) ).
fof(f10524,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6677]) ).
fof(f7704,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_33 ),
inference(avatar_component_clause,[],[f7702]) ).
fof(f10587,plain,
( spl734_248
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10497,f7702,f10584]) ).
fof(f10584,plain,
( spl734_248
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_248])]) ).
fof(f10497,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6316]) ).
fof(f6316,plain,
! [X0] :
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))
| ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f4908,f5956,f5956]) ).
fof(f4908,plain,
! [X0] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_inv),s(real,X0)))
| s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f1194]) ).
fof(f1194,axiom,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
<=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_inv),s(real,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_INVu_EQu_0) ).
fof(f10582,plain,
( spl734_247
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10525,f7702,f10579]) ).
fof(f10579,plain,
( spl734_247
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_247])]) ).
fof(f10525,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6730]) ).
fof(f10577,plain,
( ~ spl734_246
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10503,f7702,f10574]) ).
fof(f10574,plain,
( spl734_246
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_246])]) ).
fof(f10503,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6574]) ).
fof(f6574,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))))) ),
inference(equality_proxy_replacement,[],[f5406,f5956]) ).
fof(f5406,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0))))))
| s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f1137]) ).
fof(f10572,plain,
( spl734_245
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10518,f7702,f10569]) ).
fof(f10569,plain,
( spl734_245
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_245])]) ).
fof(f10518,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6169]) ).
fof(f10567,plain,
( spl734_244
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10495,f7702,f10564]) ).
fof(f10564,plain,
( spl734_244
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_244])]) ).
fof(f10495,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6106]) ).
fof(f6106,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4466,f5956,f5956]) ).
fof(f4466,plain,
! [X0] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X0)))
| s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f1129]) ).
fof(f1129,axiom,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
<=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_ZERO) ).
fof(f10562,plain,
( ~ spl734_243
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10499,f7702,f10559]) ).
fof(f10559,plain,
( spl734_243
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_243])]) ).
fof(f10499,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0))))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6445]) ).
fof(f6445,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0)))))) ),
inference(equality_proxy_replacement,[],[f5163,f5956]) ).
fof(f5163,plain,
! [X0] :
( s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X0)))))) ),
inference(cnf_transformation,[],[f1245]) ).
fof(f10557,plain,
( spl734_242
| ~ spl734_33 ),
inference(avatar_split_clause,[],[f10500,f7702,f10554]) ).
fof(f10554,plain,
( spl734_242
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_242])]) ).
fof(f10500,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_33 ),
inference(resolution,[],[f7704,f6487]) ).
fof(f6487,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),realu_neg),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5268,f5956,f5956]) ).
fof(f5268,plain,
! [X0] :
( s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_neg),s(real,X0))) ),
inference(cnf_transformation,[],[f1095]) ).
fof(f1095,axiom,
! [X0] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),realu_neg),s(real,X0)))
<=> s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_NEGu_EQu_0) ).
fof(f10494,plain,
( spl734_241
| ~ spl734_240 ),
inference(avatar_split_clause,[],[f10489,f10483,f10491]) ).
fof(f10491,plain,
( spl734_241
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK707(num,real,realu_ofu_num,a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_241])]) ).
fof(f10483,plain,
( spl734_240
<=> sP706(a0,realu_ofu_num,real,num) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_240])]) ).
fof(f10489,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK707(num,real,realu_ofu_num,a0)))))
| ~ spl734_240 ),
inference(resolution,[],[f10485,f6851]) ).
fof(f6851,plain,
! [X2,X3,X0,X1] :
( sQ733_eqProxy(s(X1,X3),s(X1,i(s(fun(X0,X1),X2),s(X0,sK707(X0,X1,X2,X3)))))
| ~ sP706(X3,X2,X1,X0) ),
inference(equality_proxy_replacement,[],[f5869,f5956]) ).
fof(f5869,plain,
! [X2,X3,X0,X1] :
( s(X1,X3) = s(X1,i(s(fun(X0,X1),X2),s(X0,sK707(X0,X1,X2,X3))))
| ~ sP706(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3917]) ).
fof(f10485,plain,
( sP706(a0,realu_ofu_num,real,num)
| ~ spl734_240 ),
inference(avatar_component_clause,[],[f10483]) ).
fof(f10488,plain,
( spl734_34
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10431,f7681,f7706]) ).
fof(f7706,plain,
( spl734_34
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_34])]) ).
fof(f7681,plain,
( spl734_28
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_28])]) ).
fof(f10431,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6133]) ).
fof(f7683,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,a0))
| ~ spl734_28 ),
inference(avatar_component_clause,[],[f7681]) ).
fof(f10487,plain,
( spl734_34
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10428,f7681,f7706]) ).
fof(f10428,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6051]) ).
fof(f10486,plain,
( spl734_240
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10424,f7681,f10483]) ).
fof(f10424,plain,
( sP706(a0,realu_ofu_num,real,num)
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6850]) ).
fof(f10481,plain,
( spl734_239
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10432,f7681,f10478]) ).
fof(f10478,plain,
( spl734_239
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_239])]) ).
fof(f10432,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6169]) ).
fof(f10476,plain,
( spl734_238
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10439,f7681,f10473]) ).
fof(f10473,plain,
( spl734_238
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_238])]) ).
fof(f10439,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6730]) ).
fof(f10471,plain,
( spl734_34
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10443,f7681,f7706]) ).
fof(f10443,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6889]) ).
fof(f10470,plain,
( spl734_237
| ~ spl734_28 ),
inference(avatar_split_clause,[],[f10438,f7681,f10467]) ).
fof(f10467,plain,
( spl734_237
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_237])]) ).
fof(f10438,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_28 ),
inference(resolution,[],[f7683,f6677]) ).
fof(f10409,plain,
( spl734_236
| ~ spl734_58 ),
inference(avatar_split_clause,[],[f10404,f7819,f10406]) ).
fof(f10406,plain,
( spl734_236
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK680(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_236])]) ).
fof(f10404,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK680(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))
| ~ spl734_58 ),
inference(resolution,[],[f7820,f5799]) ).
fof(f7820,plain,
( sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| ~ spl734_58 ),
inference(avatar_component_clause,[],[f7819]) ).
fof(f10400,plain,
( spl734_235
| ~ spl734_233 ),
inference(avatar_split_clause,[],[f10395,f10385,f10397]) ).
fof(f10397,plain,
( spl734_235
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),realu_abs),s(real,sK707(real,real,realu_abs,a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_235])]) ).
fof(f10385,plain,
( spl734_233
<=> sP706(a0,realu_abs,real,real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_233])]) ).
fof(f10395,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),realu_abs),s(real,sK707(real,real,realu_abs,a0)))))
| ~ spl734_233 ),
inference(resolution,[],[f10387,f6851]) ).
fof(f10387,plain,
( sP706(a0,realu_abs,real,real)
| ~ spl734_233 ),
inference(avatar_component_clause,[],[f10385]) ).
fof(f10393,plain,
( spl734_234
| ~ spl734_165 ),
inference(avatar_split_clause,[],[f10347,f8739,f10390]) ).
fof(f10390,plain,
( spl734_234
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_234])]) ).
fof(f8739,plain,
( spl734_165
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_abs),s(real,a0))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_165])]) ).
fof(f10347,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_165 ),
inference(resolution,[],[f8741,f6677]) ).
fof(f8741,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_abs),s(real,a0))),s(real,a0))
| ~ spl734_165 ),
inference(avatar_component_clause,[],[f8739]) ).
fof(f10388,plain,
( spl734_233
| ~ spl734_165 ),
inference(avatar_split_clause,[],[f10333,f8739,f10385]) ).
fof(f10333,plain,
( sP706(a0,realu_abs,real,real)
| ~ spl734_165 ),
inference(resolution,[],[f8741,f6850]) ).
fof(f10383,plain,
( spl734_232
| ~ spl734_165 ),
inference(avatar_split_clause,[],[f10341,f8739,f10380]) ).
fof(f10380,plain,
( spl734_232
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_232])]) ).
fof(f10341,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_165 ),
inference(resolution,[],[f8741,f6169]) ).
fof(f10378,plain,
( spl734_231
| ~ spl734_165 ),
inference(avatar_split_clause,[],[f10348,f8739,f10375]) ).
fof(f10375,plain,
( spl734_231
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_231])]) ).
fof(f10348,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_165 ),
inference(resolution,[],[f8741,f6730]) ).
fof(f10325,plain,
( ~ spl734_226
| spl734_6 ),
inference(avatar_split_clause,[],[f10286,f7176,f10194]) ).
fof(f10194,plain,
( spl734_226
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_226])]) ).
fof(f10286,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_6 ),
inference(resolution,[],[f7177,f6729]) ).
fof(f10324,plain,
( ~ spl734_228
| spl734_6 ),
inference(avatar_split_clause,[],[f10278,f7176,f10205]) ).
fof(f10205,plain,
( spl734_228
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_228])]) ).
fof(f10278,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_6 ),
inference(resolution,[],[f7177,f6168]) ).
fof(f10323,plain,
( ~ spl734_230
| ~ spl734_2
| spl734_6 ),
inference(avatar_split_clause,[],[f10318,f7176,f6921,f10320]) ).
fof(f10320,plain,
( spl734_230
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_230])]) ).
fof(f10318,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_2
| spl734_6 ),
inference(subsumption_resolution,[],[f10317,f6922]) ).
fof(f10317,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_6 ),
inference(subsumption_resolution,[],[f10288,f4434]) ).
fof(f10288,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_6 ),
inference(resolution,[],[f7177,f6816]) ).
fof(f10316,plain,
( ~ spl734_227
| spl734_6 ),
inference(avatar_split_clause,[],[f10285,f7176,f10199]) ).
fof(f10199,plain,
( spl734_227
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_227])]) ).
fof(f10285,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| spl734_6 ),
inference(resolution,[],[f7177,f6676]) ).
fof(f10270,plain,
( spl734_229
| ~ spl734_172 ),
inference(avatar_split_clause,[],[f10265,f8830,f10267]) ).
fof(f10267,plain,
( spl734_229
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK707(cart(real,sK290),real,vectoru_norm,a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_229])]) ).
fof(f10265,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK707(cart(real,sK290),real,vectoru_norm,a0)))))
| ~ spl734_172 ),
inference(resolution,[],[f8832,f6851]) ).
fof(f8832,plain,
( sP706(a0,vectoru_norm,real,cart(real,sK290))
| ~ spl734_172 ),
inference(avatar_component_clause,[],[f8830]) ).
fof(f10264,plain,
( ~ spl734_171
| ~ spl734_2
| spl734_4 ),
inference(avatar_split_clause,[],[f10257,f7167,f6921,f8825]) ).
fof(f8825,plain,
( spl734_171
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_171])]) ).
fof(f10257,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_2
| spl734_4 ),
inference(subsumption_resolution,[],[f10256,f4434]) ).
fof(f10256,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_2
| spl734_4 ),
inference(subsumption_resolution,[],[f10225,f6922]) ).
fof(f10225,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f6816]) ).
fof(f10263,plain,
( ~ spl734_170
| spl734_4 ),
inference(avatar_split_clause,[],[f10223,f7167,f8818]) ).
fof(f8818,plain,
( spl734_170
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_170])]) ).
fof(f10223,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f6729]) ).
fof(f10260,plain,
( ~ spl734_174
| spl734_4 ),
inference(avatar_split_clause,[],[f10215,f7167,f8841]) ).
fof(f8841,plain,
( spl734_174
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_174])]) ).
fof(f10215,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| spl734_4 ),
inference(resolution,[],[f7168,f6168]) ).
fof(f10259,plain,
( ~ spl734_2
| spl734_4
| ~ spl734_171 ),
inference(avatar_contradiction_clause,[],[f10258]) ).
fof(f10258,plain,
( $false
| ~ spl734_2
| spl734_4
| ~ spl734_171 ),
inference(subsumption_resolution,[],[f10257,f8827]) ).
fof(f8827,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_171 ),
inference(avatar_component_clause,[],[f8825]) ).
fof(f10255,plain,
( spl734_4
| ~ spl734_173 ),
inference(avatar_contradiction_clause,[],[f10254]) ).
fof(f10254,plain,
( $false
| spl734_4
| ~ spl734_173 ),
inference(subsumption_resolution,[],[f10222,f8837]) ).
fof(f8837,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_173 ),
inference(avatar_component_clause,[],[f8835]) ).
fof(f8835,plain,
( spl734_173
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_173])]) ).
fof(f10222,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_4 ),
inference(resolution,[],[f7168,f6676]) ).
fof(f10208,plain,
( spl734_228
| ~ spl734_6 ),
inference(avatar_split_clause,[],[f10157,f7176,f10205]) ).
fof(f10157,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_6 ),
inference(resolution,[],[f7178,f6169]) ).
fof(f7178,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| ~ spl734_6 ),
inference(avatar_component_clause,[],[f7176]) ).
fof(f10202,plain,
( spl734_227
| ~ spl734_6 ),
inference(avatar_split_clause,[],[f10163,f7176,f10199]) ).
fof(f10163,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_6 ),
inference(resolution,[],[f7178,f6677]) ).
fof(f10197,plain,
( spl734_226
| ~ spl734_6 ),
inference(avatar_split_clause,[],[f10164,f7176,f10194]) ).
fof(f10164,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_6 ),
inference(resolution,[],[f7178,f6730]) ).
fof(f10192,plain,
( ~ spl734_6
| spl734_138 ),
inference(avatar_contradiction_clause,[],[f10191]) ).
fof(f10191,plain,
( $false
| ~ spl734_6
| spl734_138 ),
inference(subsumption_resolution,[],[f10148,f8542]) ).
fof(f8542,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))
| spl734_138 ),
inference(avatar_component_clause,[],[f8540]) ).
fof(f8540,plain,
( spl734_138
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_138])]) ).
fof(f10148,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))
| ~ spl734_6 ),
inference(resolution,[],[f7178,f6592]) ).
fof(f6592,plain,
! [X0,X1] :
( ~ sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))) ),
inference(equality_proxy_replacement,[],[f5438,f5956,f5956]) ).
fof(f5438,plain,
! [X0,X1] :
( s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))
| s(real,a0) != s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) ),
inference(cnf_transformation,[],[f2968]) ).
fof(f2968,plain,
! [X1,X0] :
( s(real,a0) = s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))
<=> ( s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ) ),
inference(rectify,[],[f2880]) ).
fof(f2880,axiom,
! [X732,X0] :
( ( s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X0))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
<=> s(real,a0) = s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_EQu_SQUARE) ).
fof(f9428,plain,
( spl734_133
| ~ spl734_2
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f9427,f6928,f6921,f8512]) ).
fof(f8512,plain,
( spl734_133
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_133])]) ).
fof(f9427,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ spl734_2
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f9426,f6922]) ).
fof(f9426,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8033,f4995]) ).
fof(f8033,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4825]) ).
fof(f4825,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3805]) ).
fof(f3805,plain,
! [X1,X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,X0)))) ),
inference(flattening,[],[f3804]) ).
fof(f3804,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(ennf_transformation,[],[f3004]) ).
fof(f3004,plain,
! [X1,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,X0)))) ),
inference(rectify,[],[f2839]) ).
fof(f2839,axiom,
! [X7,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X7))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X7)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(real,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_LSQRT) ).
fof(f9425,plain,
( spl734_189
| ~ spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8996,f6917,f9200,f9217]) ).
fof(f9217,plain,
( spl734_189
<=> ! [X133] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X133))))
| sQ733_eqProxy(s(real,a0),s(real,X133)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_189])]) ).
fof(f9200,plain,
( spl734_185
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_185])]) ).
fof(f8996,plain,
( ! [X169] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X169))))
| sQ733_eqProxy(s(real,a0),s(real,X169)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6456]) ).
fof(f6918,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_1 ),
inference(avatar_component_clause,[],[f6917]) ).
fof(f9424,plain,
( spl734_181
| ~ spl734_180
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8978,f6917,f9178,f9183]) ).
fof(f9183,plain,
( spl734_181
<=> ! [X75] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X75))))
| sQ733_eqProxy(s(real,X75),s(real,a0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_181])]) ).
fof(f8978,plain,
( ! [X132] :
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X132))))
| sQ733_eqProxy(s(real,X132),s(real,a0)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6088]) ).
fof(f9423,plain,
( spl734_188
| spl734_178
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8893,f6917,f9169,f9212]) ).
fof(f9212,plain,
( spl734_188
<=> ! [X41] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X41))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_188])]) ).
fof(f9169,plain,
( spl734_178
<=> ! [X35] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X35)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X35)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_178])]) ).
fof(f8893,plain,
( ! [X40,X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X40)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X39)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X40)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4424]) ).
fof(f9422,plain,
( spl734_225
| spl734_182
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8911,f6917,f9186,f9419]) ).
fof(f8911,plain,
( sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5793]) ).
fof(f9417,plain,
( spl734_224
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8958,f6917,f9414]) ).
fof(f9414,plain,
( spl734_224
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_224])]) ).
fof(f8958,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5297]) ).
fof(f9412,plain,
( ~ spl734_6
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8883,f6917,f7176]) ).
fof(f8883,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6112]) ).
fof(f9411,plain,
( spl734_5
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8877,f6917,f7171]) ).
fof(f8877,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5345]) ).
fof(f9410,plain,
( spl734_182
| ~ spl734_223
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8917,f6917,f9407,f9186]) ).
fof(f8917,plain,
( ~ sQ733_eqProxy(s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6805]) ).
fof(f9405,plain,
( spl734_222
| spl734_183
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8944,f6917,f9191,f9402]) ).
fof(f9402,plain,
( spl734_222
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_222])]) ).
fof(f9191,plain,
( spl734_183
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_183])]) ).
fof(f8944,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5004]) ).
fof(f9400,plain,
( spl734_221
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8938,f6917,f9397]) ).
fof(f9397,plain,
( spl734_221
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_221])]) ).
fof(f8938,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4827]) ).
fof(f9395,plain,
( spl734_220
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f9003,f6917,f9392]) ).
fof(f9392,plain,
( spl734_220
<=> sQ733_eqProxy(s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_220])]) ).
fof(f9003,plain,
( sQ733_eqProxy(s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6601]) ).
fof(f9390,plain,
( spl734_219
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8965,f6917,f9387]) ).
fof(f9387,plain,
( spl734_219
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_219])]) ).
fof(f8965,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5452]) ).
fof(f9385,plain,
( spl734_218
| spl734_180
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8924,f6917,f9178,f9382]) ).
fof(f9382,plain,
( spl734_218
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real,a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_218])]) ).
fof(f8924,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real,a0)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4414]) ).
fof(f9380,plain,
( spl734_217
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8856,f6917,f9377]) ).
fof(f9377,plain,
( spl734_217
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),a0)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_217])]) ).
fof(f8856,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),a0)))),s(real,a0))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4292]) ).
fof(f9375,plain,
( ~ spl734_7
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8865,f6917,f7181]) ).
fof(f8865,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4628]) ).
fof(f9374,plain,
( spl734_180
| ~ spl734_216
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8980,f6917,f9371,f9178]) ).
fof(f9371,plain,
( spl734_216
<=> sQ733_eqProxy(s(real,a0),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real,a0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_216])]) ).
fof(f8980,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real,a0)))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6089]) ).
fof(f9369,plain,
( spl734_177
| spl734_187
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8892,f6917,f9209,f9166]) ).
fof(f9166,plain,
( spl734_177
<=> ! [X36] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X36)))),s(real,X36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_177])]) ).
fof(f9209,plain,
( spl734_187
<=> ! [X42] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X42))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X42)))),s(real,X42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_187])]) ).
fof(f8892,plain,
( ! [X38,X37] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X37))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X38)))),s(real,X38))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X37)))),s(real,X37)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4423]) ).
fof(f9368,plain,
( ~ spl734_215
| ~ spl734_1
| spl734_21 ),
inference(avatar_split_clause,[],[f9363,f7258,f6917,f9365]) ).
fof(f9365,plain,
( spl734_215
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_215])]) ).
fof(f7258,plain,
( spl734_21
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_21])]) ).
fof(f9363,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1
| spl734_21 ),
inference(subsumption_resolution,[],[f8848,f7260]) ).
fof(f7260,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0))))
| spl734_21 ),
inference(avatar_component_clause,[],[f7258]) ).
fof(f8848,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4168]) ).
fof(f9361,plain,
( ~ spl734_7
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8861,f6917,f7181]) ).
fof(f8861,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4428]) ).
fof(f9360,plain,
( ~ spl734_185
| spl734_181
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8999,f6917,f9183,f9200]) ).
fof(f8999,plain,
( ! [X171] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X171))))
| sQ733_eqProxy(s(real,X171),s(real,a0))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6458]) ).
fof(f9359,plain,
( spl734_214
| spl734_180
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8926,f6917,f9178,f9356]) ).
fof(f8926,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4418]) ).
fof(f9354,plain,
( spl734_182
| spl734_213
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8912,f6917,f9351,f9186]) ).
fof(f8912,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5794]) ).
fof(f9349,plain,
( spl734_212
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8937,f6917,f9346]) ).
fof(f9346,plain,
( spl734_212
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_212])]) ).
fof(f8937,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4826]) ).
fof(f9344,plain,
( spl734_211
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8922,f6917,f9341]) ).
fof(f9341,plain,
( spl734_211
<=> sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_211])]) ).
fof(f8922,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4343]) ).
fof(f9339,plain,
( spl734_181
| spl734_105
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8916,f6917,f8381,f9183]) ).
fof(f8916,plain,
( ! [X73,X74] :
( ~ sP93(sK91(realu_lt,real,real,X74),sK92(realu_lt,real,real,X74),X74,real,real,realu_lt)
| sQ733_eqProxy(s(real,X73),s(real,a0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X73)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6077]) ).
fof(f9338,plain,
( spl734_183
| ~ spl734_210
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8987,f6917,f9335,f9191]) ).
fof(f9335,plain,
( spl734_210
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_210])]) ).
fof(f8987,plain,
( ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6356]) ).
fof(f9333,plain,
( spl734_209
| spl734_208
| spl734_206
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8903,f6917,f9318,f9325,f9331]) ).
fof(f9331,plain,
( spl734_209
<=> ! [X60] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X60))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_209])]) ).
fof(f9325,plain,
( spl734_208
<=> ! [X63] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X63))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X63)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_208])]) ).
fof(f9318,plain,
( spl734_206
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_206])]) ).
fof(f8903,plain,
( ! [X59,X60] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X59))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X59))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X60))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4887]) ).
fof(f9329,plain,
( ~ spl734_7
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8866,f6917,f7181]) ).
fof(f8866,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4628]) ).
fof(f9328,plain,
( ~ spl734_8
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8879,f6917,f7186]) ).
fof(f8879,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5425]) ).
fof(f9327,plain,
( spl734_206
| spl734_207
| spl734_208
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8905,f6917,f9325,f9322,f9318]) ).
fof(f9322,plain,
( spl734_207
<=> ! [X64] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X64)))),s(real,X64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_207])]) ).
fof(f8905,plain,
( ! [X63,X64] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X63))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X64)))),s(real,X64))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X63))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4888]) ).
fof(f9316,plain,
( spl734_196
| spl734_197
| spl734_177
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8898,f6917,f9166,f9260,f9256]) ).
fof(f9256,plain,
( spl734_196
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_196])]) ).
fof(f8898,plain,
( ! [X50,X49] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X50)))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X49))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4427]) ).
fof(f9315,plain,
( ~ spl734_185
| spl734_181
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8997,f6917,f9183,f9200]) ).
fof(f8997,plain,
( ! [X170] :
( sQ733_eqProxy(s(real,X170),s(real,a0))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X170)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6456]) ).
fof(f9313,plain,
( ~ spl734_1
| spl734_14 ),
inference(avatar_contradiction_clause,[],[f9312]) ).
fof(f9312,plain,
( $false
| ~ spl734_1
| spl734_14 ),
inference(subsumption_resolution,[],[f8846,f7218]) ).
fof(f7218,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_14 ),
inference(avatar_component_clause,[],[f7216]) ).
fof(f8846,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5403]) ).
fof(f5403,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f2976]) ).
fof(f2976,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
inference(rectify,[],[f2883]) ).
fof(f2883,axiom,
! [X732,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUARE) ).
fof(f9311,plain,
( spl734_188
| spl734_205
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8895,f6917,f9308,f9212]) ).
fof(f9308,plain,
( spl734_205
<=> ! [X47] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X47))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X47))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_205])]) ).
fof(f8895,plain,
( ! [X44,X43] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X43))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X44)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X43)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4426]) ).
fof(f9310,plain,
( spl734_177
| spl734_205
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8897,f6917,f9308,f9166]) ).
fof(f8897,plain,
( ! [X48,X47] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X47))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X48)))),s(real,X48))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X47))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4427]) ).
fof(f9306,plain,
( spl734_189
| spl734_105
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8915,f6917,f8381,f9217]) ).
fof(f8915,plain,
( ! [X72,X71] :
( ~ sP93(sK91(realu_lt,real,real,X72),sK92(realu_lt,real,real,X72),X72,real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X71))))
| sQ733_eqProxy(s(real,a0),s(real,X71)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6077]) ).
fof(f9305,plain,
( ~ spl734_7
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8860,f6917,f7181]) ).
fof(f8860,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4428]) ).
fof(f9304,plain,
( spl734_181
| spl734_190
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8985,f6917,f9221,f9183]) ).
fof(f9221,plain,
( spl734_190
<=> ! [X149] : ~ sP344(X149,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_190])]) ).
fof(f8985,plain,
( ! [X146,X147] :
( ~ sP344(X147,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X146))))
| sQ733_eqProxy(s(real,X146),s(real,a0)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6355]) ).
fof(f9303,plain,
( spl734_189
| ~ spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f9000,f6917,f9200,f9217]) ).
fof(f9000,plain,
( ! [X172] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X172))))
| sQ733_eqProxy(s(real,a0),s(real,X172)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6458]) ).
fof(f9302,plain,
( spl734_204
| spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8951,f6917,f9200,f9299]) ).
fof(f9299,plain,
( spl734_204
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_204])]) ).
fof(f8951,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5186]) ).
fof(f9297,plain,
( spl734_203
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8957,f6917,f9294]) ).
fof(f9294,plain,
( spl734_203
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_203])]) ).
fof(f8957,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5266]) ).
fof(f9292,plain,
( ~ spl734_8
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8874,f6917,f7186]) ).
fof(f8874,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5119]) ).
fof(f9291,plain,
( spl734_5
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8862,f6917,f7171]) ).
fof(f8862,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4553]) ).
fof(f9290,plain,
( spl734_202
| spl734_180
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8925,f6917,f9178,f9287]) ).
fof(f8925,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4417]) ).
fof(f9285,plain,
( spl734_180
| ~ spl734_201
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8977,f6917,f9282,f9178]) ).
fof(f8977,plain,
( ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6087]) ).
fof(f9279,plain,
( spl734_200
| spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8950,f6917,f9200,f9276]) ).
fof(f9276,plain,
( spl734_200
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_200])]) ).
fof(f8950,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5185]) ).
fof(f9274,plain,
( spl734_199
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f9001,f6917,f9271]) ).
fof(f9271,plain,
( spl734_199
<=> sQ733_eqProxy(s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_199])]) ).
fof(f9001,plain,
( sQ733_eqProxy(s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6483]) ).
fof(f9269,plain,
( spl734_198
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f9264,f6917,f9266]) ).
fof(f9266,plain,
( spl734_198
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_198])]) ).
fof(f9264,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_1 ),
inference(subsumption_resolution,[],[f8873,f4434]) ).
fof(f8873,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5070]) ).
fof(f9263,plain,
( ~ spl734_8
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8876,f6917,f7186]) ).
fof(f8876,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5341]) ).
fof(f9262,plain,
( spl734_196
| spl734_188
| spl734_197
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8896,f6917,f9260,f9212,f9256]) ).
fof(f8896,plain,
( ! [X46,X45] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X45))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X46)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4426]) ).
fof(f9254,plain,
( ~ spl734_8
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8859,f6917,f7186]) ).
fof(f8859,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4401]) ).
fof(f9252,plain,
( spl734_195
| spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8948,f6917,f9200,f9249]) ).
fof(f9249,plain,
( spl734_195
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_195])]) ).
fof(f8948,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5181]) ).
fof(f9246,plain,
( spl734_185
| ~ spl734_194
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8995,f6917,f9243,f9200]) ).
fof(f9243,plain,
( spl734_194
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_194])]) ).
fof(f8995,plain,
( ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6455]) ).
fof(f9241,plain,
( spl734_189
| ~ spl734_182
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8919,f6917,f9186,f9217]) ).
fof(f8919,plain,
( ! [X76] :
( ~ sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X76))))
| sQ733_eqProxy(s(real,a0),s(real,X76)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6806]) ).
fof(f9239,plain,
( ~ spl734_193
| spl734_185
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8998,f6917,f9200,f9236]) ).
fof(f9236,plain,
( spl734_193
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_193])]) ).
fof(f8998,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6457]) ).
fof(f9234,plain,
( spl734_192
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8857,f6917,f9231]) ).
fof(f9231,plain,
( spl734_192
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK41(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_192])]) ).
fof(f8857,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK41(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),a0)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4293]) ).
fof(f9228,plain,
( spl734_191
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8959,f6917,f9225]) ).
fof(f9225,plain,
( spl734_191
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_191])]) ).
fof(f8959,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5298]) ).
fof(f9223,plain,
( spl734_190
| spl734_189
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8986,f6917,f9217,f9221]) ).
fof(f8986,plain,
( ! [X148,X149] :
( sQ733_eqProxy(s(real,a0),s(real,X148))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X148))))
| ~ sP344(X149,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6355]) ).
fof(f9219,plain,
( ~ spl734_180
| spl734_189
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8979,f6917,f9217,f9178]) ).
fof(f8979,plain,
( ! [X133] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X133))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,a0),s(real,X133)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6088]) ).
fof(f9215,plain,
( spl734_5
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8850,f6917,f7171]) ).
fof(f8850,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4224]) ).
fof(f9214,plain,
( spl734_187
| spl734_188
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8894,f6917,f9212,f9209]) ).
fof(f8894,plain,
( ! [X41,X42] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X41)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X42))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X42)))),s(real,X42)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4425]) ).
fof(f9207,plain,
( spl734_185
| spl734_186
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8949,f6917,f9204,f9200]) ).
fof(f9204,plain,
( spl734_186
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_186])]) ).
fof(f8949,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5183]) ).
fof(f9198,plain,
( spl734_183
| spl734_184
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8945,f6917,f9195,f9191]) ).
fof(f9195,plain,
( spl734_184
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_184])]) ).
fof(f8945,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| ~ spl734_1 ),
inference(resolution,[],[f6918,f5005]) ).
fof(f9189,plain,
( spl734_181
| ~ spl734_182
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8918,f6917,f9186,f9183]) ).
fof(f8918,plain,
( ! [X75] :
( ~ sP675(i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,X75))))
| sQ733_eqProxy(s(real,X75),s(real,a0)) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6806]) ).
fof(f9181,plain,
( spl734_179
| ~ spl734_180
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8981,f6917,f9178,f9174]) ).
fof(f8981,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)),s(real,a0))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f6090]) ).
fof(f9172,plain,
( ~ spl734_8
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8858,f6917,f7186]) ).
fof(f8858,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4323]) ).
fof(f9171,plain,
( spl734_177
| spl734_178
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8891,f6917,f9169,f9166]) ).
fof(f8891,plain,
( ! [X36,X35] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X35)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),X36)))),s(real,X36))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))),s(real,X35)))) )
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4422]) ).
fof(f9164,plain,
( ~ spl734_175
| spl734_176
| ~ spl734_1 ),
inference(avatar_split_clause,[],[f8872,f6917,f9161,f9157]) ).
fof(f9157,plain,
( spl734_175
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_175])]) ).
fof(f9161,plain,
( spl734_176
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_176])]) ).
fof(f8872,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_1 ),
inference(resolution,[],[f6918,f4854]) ).
fof(f8844,plain,
( spl734_174
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8783,f7167,f8841]) ).
fof(f8783,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6169]) ).
fof(f7169,plain,
( sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0))
| ~ spl734_4 ),
inference(avatar_component_clause,[],[f7167]) ).
fof(f8839,plain,
( ~ spl734_7
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8780,f7167,f7181]) ).
fof(f8780,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6112]) ).
fof(f8838,plain,
( spl734_173
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8789,f7167,f8835]) ).
fof(f8789,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6677]) ).
fof(f8833,plain,
( spl734_172
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8775,f7167,f8830]) ).
fof(f8775,plain,
( sP706(a0,vectoru_norm,real,cart(real,sK290))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6850]) ).
fof(f8828,plain,
( spl734_171
| ~ spl734_2
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8823,f7167,f6921,f8825]) ).
fof(f8823,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_2
| ~ spl734_4 ),
inference(subsumption_resolution,[],[f8822,f4434]) ).
fof(f8822,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_2
| ~ spl734_4 ),
inference(subsumption_resolution,[],[f8791,f6922]) ).
fof(f8791,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6815]) ).
fof(f8821,plain,
( spl734_170
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8790,f7167,f8818]) ).
fof(f8790,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6730]) ).
fof(f8816,plain,
( spl734_5
| ~ spl734_4 ),
inference(avatar_split_clause,[],[f8793,f7167,f7171]) ).
fof(f8793,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ spl734_4 ),
inference(resolution,[],[f7169,f6888]) ).
fof(f8769,plain,
( spl734_167
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8700,f7810,f8751]) ).
fof(f8751,plain,
( spl734_167
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_167])]) ).
fof(f7810,plain,
( spl734_56
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_56])]) ).
fof(f8700,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6889]) ).
fof(f7812,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))
| ~ spl734_56 ),
inference(avatar_component_clause,[],[f7810]) ).
fof(f8768,plain,
( spl734_169
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8695,f7810,f8765]) ).
fof(f8765,plain,
( spl734_169
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_169])]) ).
fof(f8695,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6677]) ).
fof(f8763,plain,
( spl734_168
| ~ spl734_2
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8758,f7810,f6921,f8760]) ).
fof(f8760,plain,
( spl734_168
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_168])]) ).
fof(f8758,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_2
| ~ spl734_56 ),
inference(subsumption_resolution,[],[f8757,f6922]) ).
fof(f8757,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(subsumption_resolution,[],[f8697,f4936]) ).
fof(f8697,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6815]) ).
fof(f8756,plain,
( ~ spl734_163
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8694,f7810,f8729]) ).
fof(f8729,plain,
( spl734_163
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_163])]) ).
fof(f8694,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6652]) ).
fof(f8755,plain,
( spl734_167
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8688,f7810,f8751]) ).
fof(f8688,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6133]) ).
fof(f8754,plain,
( spl734_167
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8685,f7810,f8751]) ).
fof(f8685,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6051]) ).
fof(f8749,plain,
( ~ spl734_166
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8686,f7810,f8746]) ).
fof(f8746,plain,
( spl734_166
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_166])]) ).
fof(f8686,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))),s(real,a0))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6112]) ).
fof(f8743,plain,
( ~ spl734_163
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8682,f7810,f8729]) ).
fof(f8682,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6005]) ).
fof(f8742,plain,
( spl734_165
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8720,f7810,f8739]) ).
fof(f8720,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_abs),s(real,a0))),s(real,a0))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6913]) ).
fof(f8737,plain,
( spl734_164
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8689,f7810,f8734]) ).
fof(f8734,plain,
( spl734_164
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_164])]) ).
fof(f8689,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_neg),s(real,a0))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6169]) ).
fof(f8732,plain,
( ~ spl734_163
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8687,f7810,f8729]) ).
fof(f8687,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6113]) ).
fof(f8727,plain,
( spl734_162
| ~ spl734_56 ),
inference(avatar_split_clause,[],[f8696,f7810,f8724]) ).
fof(f8724,plain,
( spl734_162
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),realu_abs),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_162])]) ).
fof(f8696,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),realu_inv),s(real,a0))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))))
| ~ spl734_56 ),
inference(resolution,[],[f7812,f6730]) ).
fof(f8680,plain,
( spl734_161
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8124,f6928,f8677]) ).
fof(f8677,plain,
( spl734_161
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_161])]) ).
fof(f8124,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4827]) ).
fof(f8675,plain,
( spl734_127
| spl734_156
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8077,f6928,f8645,f8480]) ).
fof(f8480,plain,
( spl734_127
<=> ! [X35] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X35)))),s(real,X35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_127])]) ).
fof(f8645,plain,
( spl734_156
<=> ! [X41] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X41)))),s(real,X41))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X41)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_156])]) ).
fof(f8077,plain,
( ! [X36,X37] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X36)))),s(real,X36))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X36))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X37)))),s(real,X37)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4423]) ).
fof(f8674,plain,
( ~ spl734_100
| spl734_160
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8167,f6928,f8671,f8359]) ).
fof(f8359,plain,
( spl734_100
<=> sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_100])]) ).
fof(f8671,plain,
( spl734_160
<=> sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_160])]) ).
fof(f8167,plain,
( sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6090]) ).
fof(f8669,plain,
( spl734_159
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8092,f6928,f8666]) ).
fof(f8092,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK215(real,real,realu_lt)))),s(real,sK214(real,real,realu_lt)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4652]) ).
fof(f4652,plain,
! [X2,X0,X1,X6,X5] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sK215(X0,X1,X2)))),s(X0,sK214(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X5)))) ),
inference(cnf_transformation,[],[f3048]) ).
fof(f3048,plain,
! [X2,X0,X1] :
( ? [X4,X3] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4))))
<=> ? [X5,X6] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X5)))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X9,X3,X6] :
( ? [X0,X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
<=> ? [X7,X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSWAPu_EXISTSu_THM) ).
fof(f8664,plain,
( ~ spl734_112
| spl734_104
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8186,f6928,f8378,f8410]) ).
fof(f8410,plain,
( spl734_112
<=> sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_112])]) ).
fof(f8378,plain,
( spl734_104
<=> ! [X70] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X70))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X70)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_104])]) ).
fof(f8186,plain,
( ! [X171] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X171))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X171)) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6458]) ).
fof(f8663,plain,
( spl734_128
| ~ spl734_112
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8185,f6928,f8410,f8484]) ).
fof(f8484,plain,
( spl734_128
<=> ! [X72] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X72))))
| sQ733_eqProxy(s(real,X72),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_128])]) ).
fof(f8185,plain,
( ! [X170] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,X170),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X170)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6458]) ).
fof(f8662,plain,
( spl734_158
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8105,f6928,f8659]) ).
fof(f8659,plain,
( spl734_158
<=> sP63(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0)),num,real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_158])]) ).
fof(f8105,plain,
( sP63(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0)),num,real)
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4341]) ).
fof(f4341,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X3),s(X0,i(s(fun(X1,X0),X2),s(X1,X4))))))
| sP63(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3043]) ).
fof(f8657,plain,
( spl734_106
| spl734_140
| spl734_141
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8081,f6928,f8553,f8550,f8385]) ).
fof(f8385,plain,
( spl734_106
<=> ! [X43] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X43))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_106])]) ).
fof(f8550,plain,
( spl734_140
<=> ! [X48] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X48)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_140])]) ).
fof(f8553,plain,
( spl734_141
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_141])]) ).
fof(f8081,plain,
( ! [X44,X45] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X44))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X45))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4426]) ).
fof(f8656,plain,
( spl734_113
| spl734_150
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8655,f6928,f8606,f8416]) ).
fof(f8416,plain,
( spl734_113
<=> ! [X64] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X64)))),s(real,X64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_113])]) ).
fof(f8606,plain,
( spl734_150
<=> ! [X54] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X54))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X54)))),s(real,X54)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_150])]) ).
fof(f8655,plain,
( ! [X50,X51] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X50)))),s(real,X50))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X51)))),s(real,X51)))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8084,f5053]) ).
fof(f8084,plain,
( ! [X50,X51] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X51)))),s(real,X51))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X50)))),s(real,X50))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4883]) ).
fof(f8654,plain,
( spl734_157
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8143,f6928,f8651]) ).
fof(f8651,plain,
( spl734_157
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK442(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_157])]) ).
fof(f8143,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK442(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5266]) ).
fof(f8649,plain,
( spl734_118
| spl734_117
| spl734_135
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8088,f6928,f8525,f8431,f8434]) ).
fof(f8434,plain,
( spl734_118
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_118])]) ).
fof(f8431,plain,
( spl734_117
<=> ! [X62] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_117])]) ).
fof(f8525,plain,
( spl734_135
<=> ! [X60] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X60))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_135])]) ).
fof(f8088,plain,
( ! [X58,X59] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X59)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X58))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X58)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4887]) ).
fof(f8648,plain,
( ~ spl734_100
| spl734_128
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8164,f6928,f8484,f8359]) ).
fof(f8164,plain,
( ! [X131] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X131))))
| sQ733_eqProxy(s(real,X131),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6088]) ).
fof(f8647,plain,
( spl734_156
| spl734_106
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8079,f6928,f8385,f8645]) ).
fof(f8079,plain,
( ! [X40,X41] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X40)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X41)))),s(real,X41))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X41)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4425]) ).
fof(f8643,plain,
( ~ spl734_153
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8075,f6928,f8626]) ).
fof(f8626,plain,
( spl734_153
<=> sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_153])]) ).
fof(f8075,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6652]) ).
fof(f8642,plain,
( spl734_115
| spl734_128
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8171,f6928,f8484,f8423]) ).
fof(f8423,plain,
( spl734_115
<=> ! [X148] : ~ sP344(X148,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_115])]) ).
fof(f8171,plain,
( ! [X145,X146] :
( sQ733_eqProxy(s(real,X145),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X145))))
| ~ sP344(X146,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6355]) ).
fof(f8641,plain,
( spl734_112
| spl734_155
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8134,f6928,f8638,f8410]) ).
fof(f8638,plain,
( spl734_155
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_155])]) ).
fof(f8134,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5181]) ).
fof(f8636,plain,
( ~ spl734_153
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8070,f6928,f8626]) ).
fof(f8070,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6113]) ).
fof(f8635,plain,
( spl734_112
| ~ spl734_154
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8181,f6928,f8632,f8410]) ).
fof(f8632,plain,
( spl734_154
<=> sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_154])]) ).
fof(f8181,plain,
( ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6455]) ).
fof(f8630,plain,
( spl734_137
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8063,f6928,f8535]) ).
fof(f8063,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5345]) ).
fof(f8629,plain,
( ~ spl734_153
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8068,f6928,f8626]) ).
fof(f8068,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6005]) ).
fof(f8624,plain,
( spl734_152
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8151,f6928,f8621]) ).
fof(f8621,plain,
( spl734_152
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK523(i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_152])]) ).
fof(f8151,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK523(i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5452]) ).
fof(f8619,plain,
( ~ spl734_146
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8047,f6928,f8583]) ).
fof(f8583,plain,
( spl734_146
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_146])]) ).
fof(f8047,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4428]) ).
fof(f8618,plain,
( ~ spl734_151
| spl734_100
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8163,f6928,f8359,f8615]) ).
fof(f8615,plain,
( spl734_151
<=> sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_151])]) ).
fof(f8163,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6087]) ).
fof(f8613,plain,
( ~ spl734_146
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8051,f6928,f8583]) ).
fof(f8051,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4628]) ).
fof(f8612,plain,
( ~ spl734_102
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8062,f6928,f8368]) ).
fof(f8368,plain,
( spl734_102
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_102])]) ).
fof(f8062,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5341]) ).
fof(f8610,plain,
( ~ spl734_146
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8046,f6928,f8583]) ).
fof(f8046,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4428]) ).
fof(f8609,plain,
( spl734_137
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8036,f6928,f8535]) ).
fof(f8036,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4224]) ).
fof(f8608,plain,
( spl734_135
| spl734_150
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8604,f6928,f8606,f8525]) ).
fof(f8604,plain,
( ! [X54,X55] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X54))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X55)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X54)))),s(real,X54)))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8086,f5053]) ).
fof(f8086,plain,
( ! [X54,X55] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X55)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X54))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X54)))),s(real,X54)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4885]) ).
fof(f8603,plain,
( spl734_149
| spl734_100
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8112,f6928,f8359,f8600]) ).
fof(f8600,plain,
( spl734_149
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_149])]) ).
fof(f8112,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4418]) ).
fof(f8597,plain,
( spl734_128
| ~ spl734_112
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8183,f6928,f8410,f8484]) ).
fof(f8183,plain,
( ! [X169] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X169))))
| sQ733_eqProxy(s(real,X169),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6456]) ).
fof(f8596,plain,
( ~ spl734_148
| spl734_112
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8184,f6928,f8410,f8593]) ).
fof(f8593,plain,
( spl734_148
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_148])]) ).
fof(f8184,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6457]) ).
fof(f8591,plain,
( spl734_147
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8145,f6928,f8588]) ).
fof(f8588,plain,
( spl734_147
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_147])]) ).
fof(f8145,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5298]) ).
fof(f8586,plain,
( ~ spl734_146
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8052,f6928,f8583]) ).
fof(f8052,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4628]) ).
fof(f8581,plain,
( spl734_127
| spl734_107
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8082,f6928,f8388,f8480]) ).
fof(f8388,plain,
( spl734_107
<=> ! [X42] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X42))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_107])]) ).
fof(f8082,plain,
( ! [X46,X47] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X46))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X47)))),s(real,X47))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X46))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4427]) ).
fof(f8580,plain,
( spl734_113
| spl734_143
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8579,f6928,f8565,f8416]) ).
fof(f8565,plain,
( spl734_143
<=> ! [X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X57)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X57)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_143])]) ).
fof(f8579,plain,
( ! [X52,X53] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X52)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X52))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X53)))),s(real,X53)))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8085,f5053]) ).
fof(f8085,plain,
( ! [X52,X53] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X52))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X53)))),s(real,X53))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X52)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4884]) ).
fof(f8578,plain,
( spl734_130
| spl734_145
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8096,f6928,f8575,f8493]) ).
fof(f8575,plain,
( spl734_145
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_145])]) ).
fof(f8096,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))
| sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5793]) ).
fof(f8573,plain,
( spl734_144
| spl734_130
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8097,f6928,f8493,f8570]) ).
fof(f8570,plain,
( spl734_144
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_144])]) ).
fof(f8097,plain,
( sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5794]) ).
fof(f8568,plain,
( ~ spl734_100
| spl734_104
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8165,f6928,f8378,f8359]) ).
fof(f8165,plain,
( ! [X132] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X132))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X132)) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6088]) ).
fof(f8567,plain,
( spl734_135
| spl734_143
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8563,f6928,f8565,f8525]) ).
fof(f8563,plain,
( ! [X56,X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X57)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X57))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X56))))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8087,f5053]) ).
fof(f8087,plain,
( ! [X56,X57] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X57))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X57)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X56)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4886]) ).
fof(f8562,plain,
( spl734_142
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8042,f6928,f8559]) ).
fof(f8559,plain,
( spl734_142
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_142])]) ).
fof(f8042,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK41(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4292]) ).
fof(f8556,plain,
( spl734_140
| spl734_127
| spl734_141
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8083,f6928,f8553,f8480,f8550]) ).
fof(f8083,plain,
( ! [X48,X49] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X49)))),s(real,X49))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X48)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4427]) ).
fof(f8548,plain,
( spl734_130
| ~ spl734_139
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8102,f6928,f8545,f8493]) ).
fof(f8545,plain,
( spl734_139
<=> sQ733_eqProxy(s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_139])]) ).
fof(f8102,plain,
( ~ sQ733_eqProxy(s(real,sK682(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),s(real,sK681(realu_lt,real,real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6805]) ).
fof(f8543,plain,
( ~ spl734_138
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8069,f6928,f8540]) ).
fof(f8069,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6112]) ).
fof(f8538,plain,
( spl734_137
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8048,f6928,f8535]) ).
fof(f8048,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4553]) ).
fof(f8533,plain,
( spl734_112
| spl734_136
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8135,f6928,f8530,f8410]) ).
fof(f8530,plain,
( spl734_136
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_136])]) ).
fof(f8135,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5183]) ).
fof(f8527,plain,
( spl734_135
| spl734_114
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8523,f6928,f8419,f8525]) ).
fof(f8419,plain,
( spl734_114
<=> ! [X65] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X65))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_114])]) ).
fof(f8523,plain,
( ! [X60,X61] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X61))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X60)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X61)))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8089,f5053]) ).
fof(f8089,plain,
( ! [X60,X61] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X61))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X60)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X61)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4887]) ).
fof(f8522,plain,
( ~ spl734_102
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8045,f6928,f8368]) ).
fof(f8045,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4401]) ).
fof(f8521,plain,
( ~ spl734_134
| spl734_100
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8166,f6928,f8359,f8518]) ).
fof(f8518,plain,
( spl734_134
<=> sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_134])]) ).
fof(f8166,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6089]) ).
fof(f8516,plain,
( ~ spl734_102
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8065,f6928,f8368]) ).
fof(f8065,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5425]) ).
fof(f8515,plain,
( spl734_133
| ~ spl734_2
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8510,f6928,f6921,f8512]) ).
fof(f8510,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ spl734_2
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8509,f4995]) ).
fof(f8509,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_2
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8033,f6922]) ).
fof(f8508,plain,
( spl734_132
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8108,f6928,f8505]) ).
fof(f8505,plain,
( spl734_132
<=> sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_132])]) ).
fof(f8108,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4343]) ).
fof(f8503,plain,
( ~ spl734_112
| spl734_104
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8182,f6928,f8378,f8410]) ).
fof(f8182,plain,
( ! [X168] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X168))))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X168)) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6456]) ).
fof(f8502,plain,
( spl734_131
| spl734_123
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8131,f6928,f8460,f8499]) ).
fof(f8499,plain,
( spl734_131
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_131])]) ).
fof(f8460,plain,
( spl734_123
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_123])]) ).
fof(f8131,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5005]) ).
fof(f8497,plain,
( ~ spl734_130
| spl734_104
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8104,f6928,f8378,f8493]) ).
fof(f8104,plain,
( ! [X75] :
( sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X75))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X75))))
| ~ sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6806]) ).
fof(f8496,plain,
( spl734_128
| ~ spl734_130
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8103,f6928,f8493,f8484]) ).
fof(f8103,plain,
( ! [X74] :
( ~ sP675(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X74))))
| sQ733_eqProxy(s(real,X74),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6806]) ).
fof(f8491,plain,
( spl734_123
| spl734_129
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8130,f6928,f8488,f8460]) ).
fof(f8488,plain,
( spl734_129
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_129])]) ).
fof(f8130,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5004]) ).
fof(f8486,plain,
( spl734_105
| spl734_128
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8101,f6928,f8484,f8381]) ).
fof(f8101,plain,
( ! [X72,X73] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X72))))
| ~ sP93(sK91(realu_lt,real,real,X73),sK92(realu_lt,real,real,X73),X73,real,real,realu_lt)
| sQ733_eqProxy(s(real,X72),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6077]) ).
fof(f8482,plain,
( spl734_127
| spl734_116
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8076,f6928,f8427,f8480]) ).
fof(f8427,plain,
( spl734_116
<=> ! [X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X39))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X39))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_116])]) ).
fof(f8076,plain,
( ! [X34,X35] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X34))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X34)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X35)))),s(real,X35)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4422]) ).
fof(f8478,plain,
( ~ spl734_102
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8044,f6928,f8368]) ).
fof(f8044,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4323]) ).
fof(f8477,plain,
( spl734_126
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8043,f6928,f8474]) ).
fof(f8474,plain,
( spl734_126
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK41(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_126])]) ).
fof(f8043,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK41(i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)),i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4293]) ).
fof(f8472,plain,
( spl734_124
| ~ spl734_125
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8058,f6928,f8469,f8465]) ).
fof(f8465,plain,
( spl734_124
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_124])]) ).
fof(f8469,plain,
( spl734_125
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_125])]) ).
fof(f8058,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4854]) ).
fof(f8463,plain,
( ~ spl734_122
| spl734_123
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8173,f6928,f8460,f8456]) ).
fof(f8456,plain,
( spl734_122
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_122])]) ).
fof(f8173,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)
| ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6356]) ).
fof(f8454,plain,
( spl734_121
| spl734_112
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8137,f6928,f8410,f8451]) ).
fof(f8451,plain,
( spl734_121
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_121])]) ).
fof(f8137,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5186]) ).
fof(f8448,plain,
( spl734_120
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8123,f6928,f8445]) ).
fof(f8445,plain,
( spl734_120
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_120])]) ).
fof(f8123,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4826]) ).
fof(f8442,plain,
( spl734_100
| spl734_119
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8110,f6928,f8439,f8359]) ).
fof(f8439,plain,
( spl734_119
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_119])]) ).
fof(f8110,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4414]) ).
fof(f8437,plain,
( spl734_113
| spl734_117
| spl734_118
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8090,f6928,f8434,f8431,f8416]) ).
fof(f8090,plain,
( ! [X62,X63] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X62))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X63)))),s(real,X63)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4888]) ).
fof(f8429,plain,
( spl734_116
| spl734_106
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8078,f6928,f8385,f8427]) ).
fof(f8078,plain,
( ! [X38,X39] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X38)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))),s(real,X39))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X39))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4424]) ).
fof(f8425,plain,
( spl734_115
| spl734_104
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8172,f6928,f8378,f8423]) ).
fof(f8172,plain,
( ! [X148,X147] :
( sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X147))
| ~ sP344(X148,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X147)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6355]) ).
fof(f8421,plain,
( spl734_113
| spl734_114
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8414,f6928,f8419,f8416]) ).
fof(f8414,plain,
( ! [X65,X64] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X65))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X64)))),s(real,X64))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) )
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8091,f5053]) ).
fof(f8091,plain,
( ! [X65,X64] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X65))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X65))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X64)))),s(real,X64)))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4888]) ).
fof(f8413,plain,
( spl734_111
| spl734_112
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8136,f6928,f8410,f8406]) ).
fof(f8406,plain,
( spl734_111
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_111])]) ).
fof(f8136,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5185]) ).
fof(f8404,plain,
( ~ spl734_109
| spl734_110
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8034,f6928,f8401,f8397]) ).
fof(f8397,plain,
( spl734_109
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_109])]) ).
fof(f8401,plain,
( spl734_110
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_110])]) ).
fof(f8034,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4168]) ).
fof(f8395,plain,
( spl734_108
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8187,f6928,f8392]) ).
fof(f8392,plain,
( spl734_108
<=> sQ733_eqProxy(s(real,sK442(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_108])]) ).
fof(f8187,plain,
( sQ733_eqProxy(s(real,sK442(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6483]) ).
fof(f8390,plain,
( spl734_106
| spl734_107
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8080,f6928,f8388,f8385]) ).
fof(f8080,plain,
( ! [X42,X43] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X42))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X42))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),X43))))) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4426]) ).
fof(f8383,plain,
( spl734_104
| spl734_105
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8100,f6928,f8381,f8378]) ).
fof(f8100,plain,
( ! [X70,X71] :
( ~ sP93(sK91(realu_lt,real,real,X71),sK92(realu_lt,real,real,X71),X71,real,real,realu_lt)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,X70))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X70)) )
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6077]) ).
fof(f8376,plain,
( spl734_103
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8189,f6928,f8373]) ).
fof(f8373,plain,
( spl734_103
<=> sQ733_eqProxy(s(real,sK523(i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_103])]) ).
fof(f8189,plain,
( sQ733_eqProxy(s(real,sK523(i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))),real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f6601]) ).
fof(f8371,plain,
( ~ spl734_102
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8060,f6928,f8368]) ).
fof(f8060,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5119]) ).
fof(f8366,plain,
( spl734_100
| spl734_101
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8111,f6928,f8363,f8359]) ).
fof(f8363,plain,
( spl734_101
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_101])]) ).
fof(f8111,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))),real)))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4417]) ).
fof(f8357,plain,
( spl734_99
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8093,f6928,f8354]) ).
fof(f8093,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK217(real,real,realu_lt)))),s(real,sK216(real,real,realu_lt)))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f4653]) ).
fof(f4653,plain,
! [X2,X3,X0,X1,X4] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sK217(X0,X1,X2)))),s(X0,sK216(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4)))) ),
inference(cnf_transformation,[],[f3048]) ).
fof(f8352,plain,
( spl734_98
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8347,f6928,f8349]) ).
fof(f8349,plain,
( spl734_98
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_98])]) ).
fof(f8347,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f8059,f4995]) ).
fof(f8059,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5070]) ).
fof(f8346,plain,
( spl734_97
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f8144,f6928,f8343]) ).
fof(f8343,plain,
( spl734_97
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_97])]) ).
fof(f8144,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291)))))))))
| ~ spl734_3 ),
inference(resolution,[],[f6930,f5297]) ).
fof(f8031,plain,
( spl734_96
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7351,f6921,f8028]) ).
fof(f8028,plain,
( spl734_96
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_96])]) ).
fof(f7351,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4144]) ).
fof(f8026,plain,
( spl734_95
| spl734_27
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7450,f6921,f7675,f8023]) ).
fof(f8023,plain,
( spl734_95
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_95])]) ).
fof(f7675,plain,
( spl734_27
<=> sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_27])]) ).
fof(f7450,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5005]) ).
fof(f8021,plain,
( ~ spl734_85
| spl734_94
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7297,f6921,f8019,f7965]) ).
fof(f7965,plain,
( spl734_85
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_85])]) ).
fof(f8019,plain,
( spl734_94
<=> ! [X43,X42] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X42))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X43))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X43))),s(num,X42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_94])]) ).
fof(f7297,plain,
( ! [X42,X43] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X42))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X43))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X43))),s(num,X42))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4919]) ).
fof(f4919,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) ),
inference(cnf_transformation,[],[f3791]) ).
fof(f3791,plain,
! [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) ),
inference(flattening,[],[f3790]) ).
fof(f3790,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) ),
inference(ennf_transformation,[],[f3204]) ).
fof(f3204,plain,
! [X1,X0,X2] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X2)))))) ),
inference(rectify,[],[f1286]) ).
fof(f1286,axiom,
! [X0,X84,X83] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X83))),s(num,X84))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X84))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_MONOu_INV) ).
fof(f8017,plain,
( spl734_93
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7427,f6921,f8014]) ).
fof(f7427,plain,
( sP62(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4343]) ).
fof(f8011,plain,
( spl734_33
| ~ spl734_2
| spl734_14 ),
inference(avatar_split_clause,[],[f8010,f7216,f6921,f7702]) ).
fof(f8010,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_2
| spl734_14 ),
inference(subsumption_resolution,[],[f7390,f7218]) ).
fof(f7390,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6134]) ).
fof(f8009,plain,
( spl734_92
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7339,f6921,f8006]) ).
fof(f8006,plain,
( spl734_92
<=> sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_92])]) ).
fof(f7339,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6661]) ).
fof(f6661,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(equality_proxy_replacement,[],[f5551,f5956]) ).
fof(f5551,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) ),
inference(cnf_transformation,[],[f3643]) ).
fof(f3643,plain,
! [X0] :
( s(real,X0) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2724]) ).
fof(f2724,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> s(real,X0) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPOWu_2u_SQRT) ).
fof(f8004,plain,
( spl734_91
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7463,f6921,f8001]) ).
fof(f8001,plain,
( spl734_91
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_91])]) ).
fof(f7463,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK458(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5297]) ).
fof(f7999,plain,
( ~ spl734_58
| spl734_57
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7424,f6921,f7815,f7819]) ).
fof(f7815,plain,
( spl734_57
<=> ! [X302] :
( sQ733_eqProxy(s(real,a0),s(real,X302))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X302)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_57])]) ).
fof(f7424,plain,
( ! [X230] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X230))))
| sQ733_eqProxy(s(real,a0),s(real,X230))
| ~ sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6806]) ).
fof(f7998,plain,
( ~ spl734_90
| spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7482,f6921,f7788,f7995]) ).
fof(f7482,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ sQ733_eqProxy(s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6087]) ).
fof(f7993,plain,
( spl734_68
| spl734_36
| spl734_32
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7403,f6921,f7698,f7715,f7870]) ).
fof(f7870,plain,
( spl734_68
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_68])]) ).
fof(f7715,plain,
( spl734_36
<=> ! [X202] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X202)))),s(real,X202)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_36])]) ).
fof(f7698,plain,
( spl734_32
<=> ! [X213] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X213)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_32])]) ).
fof(f7403,plain,
( ! [X203,X204] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X203))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X204)))),s(real,X204))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4427]) ).
fof(f7992,plain,
( spl734_89
| spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7429,f6921,f7788,f7989]) ).
fof(f7989,plain,
( spl734_89
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real,a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_89])]) ).
fof(f7429,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real,a0)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4414]) ).
fof(f7987,plain,
( spl734_88
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7412,f6921,f7984]) ).
fof(f7412,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK215(real,real,realu_le)))),s(real,sK214(real,real,realu_le)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4652]) ).
fof(f7982,plain,
( ~ spl734_39
| spl734_57
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7505,f6921,f7815,f7729]) ).
fof(f7505,plain,
( ! [X326] :
( sQ733_eqProxy(s(real,a0),s(real,X326))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X326)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6458]) ).
fof(f7981,plain,
( ~ spl734_52
| spl734_57
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7484,f6921,f7815,f7788]) ).
fof(f7484,plain,
( ! [X287] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X287))))
| sQ733_eqProxy(s(real,a0),s(real,X287))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6088]) ).
fof(f7980,plain,
( spl734_39
| spl734_87
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7456,f6921,f7977,f7729]) ).
fof(f7977,plain,
( spl734_87
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_87])]) ).
fof(f7456,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5186]) ).
fof(f7975,plain,
( spl734_49
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7350,f6921,f7774]) ).
fof(f7350,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6906]) ).
fof(f6906,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(equality_proxy_replacement,[],[f5949,f5956]) ).
fof(f5949,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ),
inference(cnf_transformation,[],[f2828]) ).
fof(f7974,plain,
( spl734_86
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7464,f6921,f7971]) ).
fof(f7971,plain,
( spl734_86
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_86])]) ).
fof(f7464,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK457(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5298]) ).
fof(f7969,plain,
( ~ spl734_38
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7355,f6921,f7724]) ).
fof(f7355,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4323]) ).
fof(f7968,plain,
( spl734_84
| ~ spl734_85
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7282,f6921,f7965,f7962]) ).
fof(f7962,plain,
( spl734_84
<=> ! [X16] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X16))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_84])]) ).
fof(f7282,plain,
( ! [X16] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X16))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4261]) ).
fof(f4261,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(cnf_transformation,[],[f4063]) ).
fof(f4063,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(flattening,[],[f4062]) ).
fof(f4062,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(ennf_transformation,[],[f3210]) ).
fof(f3210,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X1))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(rectify,[],[f1264]) ).
fof(f1264,axiom,
! [X0,X83] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_1u_LE) ).
fof(f7960,plain,
( spl734_45
| spl734_35
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7400,f6921,f7712,f7756]) ).
fof(f7756,plain,
( spl734_45
<=> ! [X193] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X193))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_45])]) ).
fof(f7712,plain,
( spl734_35
<=> ! [X201] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X201))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X201)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_35])]) ).
fof(f7400,plain,
( ! [X198,X197] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X197))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X198)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X197)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4426]) ).
fof(f7959,plain,
( spl734_83
| spl734_58
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7417,f6921,f7819,f7956]) ).
fof(f7956,plain,
( spl734_83
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK682(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_83])]) ).
fof(f7417,plain,
( sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK682(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5794]) ).
fof(f7954,plain,
( spl734_82
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7376,f6921,f7951]) ).
fof(f7951,plain,
( spl734_82
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),a0)))),s(real,a0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_82])]) ).
fof(f7376,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK384(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),a0)))),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5124]) ).
fof(f7949,plain,
( spl734_72
| spl734_25
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7421,f6921,f7667,f7893]) ).
fof(f7421,plain,
( ! [X228,X227] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X227))))
| ~ sP93(sK91(realu_le,real,real,X228),sK92(realu_le,real,real,X228),X228,real,real,realu_le)
| sQ733_eqProxy(s(real,X227),s(real,a0)) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6077]) ).
fof(f7948,plain,
( spl734_81
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7307,f6921,f7945]) ).
fof(f7945,plain,
( spl734_81
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_81])]) ).
fof(f7307,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5644]) ).
fof(f5644,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
inference(cnf_transformation,[],[f3862]) ).
fof(f3862,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f1199]) ).
fof(f1199,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_inv),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_INV) ).
fof(f7943,plain,
( spl734_80
| ~ spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7486,f6921,f7788,f7940]) ).
fof(f7486,plain,
( ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| sQ733_eqProxy(s(real,sK109(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,a0))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6090]) ).
fof(f7938,plain,
( spl734_79
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7413,f6921,f7935]) ).
fof(f7413,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK217(real,real,realu_le)))),s(real,sK216(real,real,realu_le)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4653]) ).
fof(f7933,plain,
( spl734_63
| spl734_36
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7397,f6921,f7715,f7846]) ).
fof(f7846,plain,
( spl734_63
<=> ! [X196] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X196))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X196)))),s(real,X196)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_63])]) ).
fof(f7397,plain,
( ! [X191,X192] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X192)))),s(real,X192))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X191)))),s(real,X191))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X191)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4423]) ).
fof(f7932,plain,
( spl734_78
| spl734_39
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7455,f6921,f7729,f7929]) ).
fof(f7929,plain,
( spl734_78
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_78])]) ).
fof(f7455,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5185]) ).
fof(f7927,plain,
( spl734_77
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7328,f6921,f7924]) ).
fof(f7924,plain,
( spl734_77
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_77])]) ).
fof(f7328,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,a0))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6361]) ).
fof(f6361,plain,
! [X0] :
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5008,f5956]) ).
fof(f5008,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))) = s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
inference(cnf_transformation,[],[f3682]) ).
fof(f3682,plain,
! [X0] :
( s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))) = s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2826]) ).
fof(f2826,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))) = s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_INV) ).
fof(f7922,plain,
( spl734_54
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7312,f6921,f7799]) ).
fof(f7312,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5705]) ).
fof(f5705,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3835]) ).
fof(f3835,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2823]) ).
fof(f2823,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_POSu_LE) ).
fof(f7921,plain,
( ~ spl734_34
| spl734_28
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7394,f6921,f7681,f7706]) ).
fof(f7394,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,a0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6890]) ).
fof(f7920,plain,
( spl734_58
| ~ spl734_76
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7422,f6921,f7917,f7819]) ).
fof(f7917,plain,
( spl734_76
<=> sQ733_eqProxy(s(real,sK682(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),s(real,sK681(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_76])]) ).
fof(f7422,plain,
( ~ sQ733_eqProxy(s(real,sK682(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),s(real,sK681(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6805]) ).
fof(f7915,plain,
( spl734_60
| ~ spl734_33
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7335,f6921,f7702,f7831]) ).
fof(f7335,plain,
( ~ sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6563]) ).
fof(f6563,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5384,f5956,f5956]) ).
fof(f5384,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),sqrt),s(real,X0))) ),
inference(cnf_transformation,[],[f3895]) ).
fof(f3895,plain,
! [X0] :
( ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),sqrt),s(real,X0)))
<=> s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2835]) ).
fof(f2835,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(real,real),sqrt),s(real,X0)))
<=> s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_EQu_0) ).
fof(f7914,plain,
( spl734_46
| ~ spl734_47
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7385,f6921,f7765,f7761]) ).
fof(f7765,plain,
( spl734_47
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_47])]) ).
fof(f7385,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5598]) ).
fof(f7913,plain,
( spl734_48
| spl734_75
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7909,f6921,f7911,f7770]) ).
fof(f7770,plain,
( spl734_48
<=> ! [X218] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X218)))),s(real,X218)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_48])]) ).
fof(f7911,plain,
( spl734_75
<=> ! [X205] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X205))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X205)))),s(real,X205)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_75])]) ).
fof(f7909,plain,
( ! [X205,X206] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X205))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X206)))),s(real,X206))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X205)))),s(real,X205)))) )
| ~ spl734_2 ),
inference(subsumption_resolution,[],[f7404,f6922]) ).
fof(f7404,plain,
( ! [X205,X206] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X206)))),s(real,X206))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X205))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X205)))),s(real,X205))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4883]) ).
fof(f7908,plain,
( spl734_52
| spl734_74
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7431,f6921,f7905,f7788]) ).
fof(f7905,plain,
( spl734_74
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_74])]) ).
fof(f7431,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK107(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4418]) ).
fof(f7903,plain,
( spl734_49
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7329,f6921,f7774]) ).
fof(f7329,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6427]) ).
fof(f6427,plain,
! [X0] :
( sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5115,f5956]) ).
fof(f5115,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ),
inference(cnf_transformation,[],[f3672]) ).
fof(f3672,plain,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2824]) ).
fof(f2824,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_POWu_2) ).
fof(f7902,plain,
( ~ spl734_38
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7380,f6921,f7724]) ).
fof(f7380,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5425]) ).
fof(f7900,plain,
( ~ spl734_73
| spl734_39
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7503,f6921,f7729,f7897]) ).
fof(f7897,plain,
( spl734_73
<=> sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_73])]) ).
fof(f7503,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ sQ733_eqProxy(s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6457]) ).
fof(f7895,plain,
( spl734_72
| spl734_57
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7420,f6921,f7815,f7893]) ).
fof(f7420,plain,
( ! [X225,X226] :
( sQ733_eqProxy(s(real,a0),s(real,X225))
| ~ sP93(sK91(realu_le,real,real,X226),sK92(realu_le,real,real,X226),X226,real,real,realu_le)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X225)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6077]) ).
fof(f7891,plain,
( spl734_57
| ~ spl734_39
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7501,f6921,f7729,f7815]) ).
fof(f7501,plain,
( ! [X323] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| sQ733_eqProxy(s(real,a0),s(real,X323))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X323)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6456]) ).
fof(f7890,plain,
( spl734_71
| spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7430,f6921,f7788,f7887]) ).
fof(f7430,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK106(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4417]) ).
fof(f7885,plain,
( spl734_36
| spl734_44
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7396,f6921,f7753,f7715]) ).
fof(f7753,plain,
( spl734_44
<=> ! [X194] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X194))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X194))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_44])]) ).
fof(f7396,plain,
( ! [X189,X190] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X189))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X190)))),s(real,X190))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X189))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4422]) ).
fof(f7884,plain,
( spl734_70
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7442,f6921,f7881]) ).
fof(f7881,plain,
( spl734_70
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_70])]) ).
fof(f7442,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK273(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4826]) ).
fof(f7879,plain,
( ~ spl734_39
| spl734_25
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7504,f6921,f7667,f7729]) ).
fof(f7504,plain,
( ! [X325] :
( sQ733_eqProxy(s(real,X325),s(real,a0))
| ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X325)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6458]) ).
fof(f7878,plain,
( spl734_31
| spl734_69
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7874,f6921,f7876,f7695]) ).
fof(f7695,plain,
( spl734_31
<=> ! [X214] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X214))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_31])]) ).
fof(f7876,plain,
( spl734_69
<=> ! [X212] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X212))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X212))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_69])]) ).
fof(f7874,plain,
( ! [X212,X211] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X212))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X212)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X211))))) )
| ~ spl734_2 ),
inference(subsumption_resolution,[],[f7407,f6922]) ).
fof(f7407,plain,
( ! [X212,X211] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X212))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK299(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X212)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X211)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4886]) ).
fof(f7873,plain,
( spl734_32
| spl734_45
| spl734_68
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7401,f6921,f7870,f7756,f7698]) ).
fof(f7401,plain,
( ! [X200,X199] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X200)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X199)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4426]) ).
fof(f7868,plain,
( spl734_67
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7506,f6921,f7865]) ).
fof(f7865,plain,
( spl734_67
<=> sQ733_eqProxy(s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_67])]) ).
fof(f7506,plain,
( sQ733_eqProxy(s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6483]) ).
fof(f7863,plain,
( spl734_66
| spl734_58
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7416,f6921,f7819,f7860]) ).
fof(f7860,plain,
( spl734_66
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK681(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_66])]) ).
fof(f7416,plain,
( sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK681(realu_le,real,real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5793]) ).
fof(f7858,plain,
( ~ spl734_64
| spl734_65
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7341,f6921,f7856,f7852]) ).
fof(f7852,plain,
( spl734_64
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_64])]) ).
fof(f7856,plain,
( spl734_65
<=> ! [X101] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X101))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X101))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_65])]) ).
fof(f7341,plain,
( ! [X101] :
( sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X101))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,X101))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6694]) ).
fof(f6694,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| sQ733_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,X0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1)))) ),
inference(equality_proxy_replacement,[],[f5607,f5956]) ).
fof(f5607,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X0) ),
inference(cnf_transformation,[],[f3767]) ).
fof(f3767,plain,
! [X1,X0] :
( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(flattening,[],[f3766]) ).
fof(f3766,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,X0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(ennf_transformation,[],[f3227]) ).
fof(f3227,plain,
! [X1,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))))
& s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,X0)
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,X0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(rectify,[],[f1268]) ).
fof(f1268,axiom,
! [X83,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
& s(num,X83) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X0))),s(num,X83))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_POWu_1u_LT) ).
fof(f7850,plain,
( ~ spl734_38
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7356,f6921,f7724]) ).
fof(f7356,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4401]) ).
fof(f7849,plain,
( ~ spl734_52
| spl734_25
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7483,f6921,f7667,f7788]) ).
fof(f7483,plain,
( ! [X286] :
( sQ733_eqProxy(s(real,X286),s(real,a0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X286))))
| ~ sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6088]) ).
fof(f7848,plain,
( spl734_45
| spl734_63
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7399,f6921,f7846,f7756]) ).
fof(f7399,plain,
( ! [X195,X196] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X196))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X196)))),s(real,X196))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X195))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4425]) ).
fof(f7844,plain,
( spl734_62
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7317,f6921,f7841]) ).
fof(f7841,plain,
( spl734_62
<=> sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_62])]) ).
fof(f7317,plain,
( sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,a0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,a0))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6083]) ).
fof(f6083,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(real,i(s(fun(real,real),sqrt),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))) ),
inference(equality_proxy_replacement,[],[f4402,f5956]) ).
fof(f4402,plain,
! [X0] :
( s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3666]) ).
fof(f3666,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
inference(ennf_transformation,[],[f2842]) ).
fof(f2842,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> s(real,i(s(fun(real,real),sqrt),s(real,X0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X0))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_DIVu_SQRT) ).
fof(f7839,plain,
( spl734_61
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7462,f6921,f7836]) ).
fof(f7836,plain,
( spl734_61
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_61])]) ).
fof(f7462,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK442(real,a0,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5266]) ).
fof(f7834,plain,
( spl734_33
| ~ spl734_60
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7334,f6921,f7831,f7702]) ).
fof(f7334,plain,
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))
| sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6562]) ).
fof(f6562,plain,
! [X0] :
( ~ sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ),
inference(equality_proxy_replacement,[],[f5385,f5956,f5956]) ).
fof(f5385,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(real,real),sqrt),s(real,X0))) ),
inference(cnf_transformation,[],[f3895]) ).
fof(f7829,plain,
( spl734_25
| ~ spl734_39
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7502,f6921,f7729,f7667]) ).
fof(f7502,plain,
( ! [X324] :
( ~ sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| sQ733_eqProxy(s(real,X324),s(real,a0))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X324)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6456]) ).
fof(f7827,plain,
( spl734_59
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7508,f6921,f7824]) ).
fof(f7824,plain,
( spl734_59
<=> sQ733_eqProxy(s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_59])]) ).
fof(f7508,plain,
( sQ733_eqProxy(s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,a0))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6601]) ).
fof(f7822,plain,
( ~ spl734_58
| spl734_25
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7423,f6921,f7667,f7819]) ).
fof(f7423,plain,
( ! [X229] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X229))))
| ~ sP675(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),real,real,realu_le)
| sQ733_eqProxy(s(real,X229),s(real,a0)) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6806]) ).
fof(f7817,plain,
( spl734_24
| spl734_57
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7491,f6921,f7815,f7664]) ).
fof(f7664,plain,
( spl734_24
<=> ! [X301] : ~ sP344(X301,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_24])]) ).
fof(f7491,plain,
( ! [X303,X302] :
( sQ733_eqProxy(s(real,a0),s(real,X302))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X302))))
| ~ sP344(X303,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6355]) ).
fof(f7813,plain,
( spl734_56
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7333,f6921,f7810]) ).
fof(f7333,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(real,real),realu_abs),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6542]) ).
fof(f6542,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(real,X0),s(real,i(s(fun(real,real),realu_abs),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f5352,f5956]) ).
fof(f5352,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(real,X0) = s(real,i(s(fun(real,real),realu_abs),s(real,X0))) ),
inference(cnf_transformation,[],[f1140]) ).
fof(f1140,axiom,
! [X0] :
( s(real,X0) = s(real,i(s(fun(real,real),realu_abs),s(real,X0)))
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ABSu_REFL) ).
fof(f7808,plain,
( spl734_55
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7803,f6921,f7805]) ).
fof(f7805,plain,
( spl734_55
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_55])]) ).
fof(f7803,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(subsumption_resolution,[],[f7372,f5824]) ).
fof(f7372,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5120]) ).
fof(f7802,plain,
( spl734_54
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7284,f6921,f7799]) ).
fof(f7284,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4522]) ).
fof(f4522,plain,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3724]) ).
fof(f3724,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| ( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))) ) ),
inference(ennf_transformation,[],[f2822]) ).
fof(f2822,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> ( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_WORKS) ).
fof(f7797,plain,
( spl734_53
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7375,f6921,f7794]) ).
fof(f7794,plain,
( spl734_53
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK384(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),a0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_53])]) ).
fof(f7375,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK384(i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))),a0)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5123]) ).
fof(f7791,plain,
( ~ spl734_51
| spl734_52
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7485,f6921,f7788,f7784]) ).
fof(f7485,plain,
( sP105(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ sQ733_eqProxy(s(real,a0),s(real,sK110(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real,a0)))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6089]) ).
fof(f7782,plain,
( ~ spl734_50
| spl734_39
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7500,f6921,f7729,f7779]) ).
fof(f7500,plain,
( sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ sQ733_eqProxy(s(real,sK406(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)),s(real,sK405(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6455]) ).
fof(f7777,plain,
( spl734_49
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7321,f6921,f7774]) ).
fof(f7321,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,a0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6127]) ).
fof(f6127,plain,
! [X0] :
( sQ733_eqProxy(s(real,X0),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(equality_proxy_replacement,[],[f4523,f5956]) ).
fof(f4523,plain,
! [X0] :
( s(real,X0) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f3724]) ).
fof(f7772,plain,
( spl734_30
| spl734_48
| spl734_32
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7661,f6921,f7698,f7770,f7691]) ).
fof(f7691,plain,
( spl734_30
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_30])]) ).
fof(f7661,plain,
( ! [X218,X217] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X217))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X218)))),s(real,X218))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(duplicate_literal_removal,[],[f7410]) ).
fof(f7410,plain,
( ! [X218,X217] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X218)))),s(real,X218))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X217))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X217))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4888]) ).
fof(f7768,plain,
( spl734_46
| ~ spl734_47
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7388,f6921,f7765,f7761]) ).
fof(f7388,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_neg),s(real,a0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5808]) ).
fof(f7759,plain,
( ~ spl734_38
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7371,f6921,f7724]) ).
fof(f7371,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5119]) ).
fof(f7758,plain,
( spl734_44
| spl734_45
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7398,f6921,f7756,f7753]) ).
fof(f7398,plain,
( ! [X194,X193] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X193)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))),s(real,X194))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK122(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X194))))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4424]) ).
fof(f7751,plain,
( spl734_43
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7470,f6921,f7748]) ).
fof(f7748,plain,
( spl734_43
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_43])]) ).
fof(f7470,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK523(a0,real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5452]) ).
fof(f7746,plain,
( spl734_42
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7443,f6921,f7743]) ).
fof(f7743,plain,
( spl734_42
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_42])]) ).
fof(f7443,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK272(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4827]) ).
fof(f7741,plain,
( spl734_39
| spl734_41
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7454,f6921,f7738,f7729]) ).
fof(f7738,plain,
( spl734_41
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_41])]) ).
fof(f7454,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK407(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5183]) ).
fof(f7736,plain,
( spl734_39
| spl734_40
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7453,f6921,f7733,f7729]) ).
fof(f7453,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK408(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)))))
| sP403(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5181]) ).
fof(f7727,plain,
( ~ spl734_38
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7379,f6921,f7724]) ).
fof(f7379,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5341]) ).
fof(f7722,plain,
( ~ spl734_37
| spl734_27
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7492,f6921,f7675,f7719]) ).
fof(f7719,plain,
( spl734_37
<=> sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_37])]) ).
fof(f7492,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| ~ sQ733_eqProxy(s(real,sK346(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6356]) ).
fof(f7717,plain,
( spl734_35
| spl734_36
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7402,f6921,f7715,f7712]) ).
fof(f7402,plain,
( ! [X202,X201] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK121(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X202)))),s(real,X202))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X201))),s(real,sK120(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X201)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4427]) ).
fof(f7709,plain,
( spl734_33
| ~ spl734_34
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7393,f6921,f7706,f7702]) ).
fof(f7393,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| sQ733_eqProxy(s(real,a0),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6890]) ).
fof(f7700,plain,
( spl734_30
| spl734_31
| spl734_32
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7662,f6921,f7698,f7695,f7691]) ).
fof(f7662,plain,
( ! [X213,X214] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X213))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X214)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) )
| ~ spl734_2 ),
inference(duplicate_literal_removal,[],[f7408]) ).
fof(f7408,plain,
( ! [X213,X214] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X213))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,sK297(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK298(i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),X214)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X213)))) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f4887]) ).
fof(f7689,plain,
( spl734_29
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7318,f6921,f7686]) ).
fof(f7686,plain,
( spl734_29
<=> sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_29])]) ).
fof(f7318,plain,
( sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,a0))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6096]) ).
fof(f6096,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| sQ733_eqProxy(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))) ),
inference(equality_proxy_replacement,[],[f4433,f5956]) ).
fof(f4433,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
| s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
inference(cnf_transformation,[],[f4094]) ).
fof(f4094,plain,
! [X0] :
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0)))) ),
inference(ennf_transformation,[],[f2834]) ).
fof(f2834,axiom,
! [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))
=> s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSQRTu_LTu_0) ).
fof(f7684,plain,
( spl734_28
| ~ spl734_2
| spl734_14 ),
inference(avatar_split_clause,[],[f7679,f7216,f6921,f7681]) ).
fof(f7679,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,a0))
| ~ spl734_2
| spl734_14 ),
inference(subsumption_resolution,[],[f7389,f7218]) ).
fof(f7389,plain,
( sQ733_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,a0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6004]) ).
fof(f7678,plain,
( spl734_26
| spl734_27
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7449,f6921,f7675,f7671]) ).
fof(f7671,plain,
( spl734_26
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_26])]) ).
fof(f7449,plain,
( sP344(sK343(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK347(real,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))))
| ~ spl734_2 ),
inference(resolution,[],[f6922,f5004]) ).
fof(f7669,plain,
( spl734_24
| spl734_25
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f7490,f6921,f7667,f7664]) ).
fof(f7490,plain,
( ! [X301,X300] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X300))))
| sQ733_eqProxy(s(real,X300),s(real,a0))
| ~ sP344(X301,i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),real) )
| ~ spl734_2 ),
inference(resolution,[],[f6922,f6355]) ).
fof(f7273,plain,
( ~ spl734_23
| spl734_1 ),
inference(avatar_split_clause,[],[f6954,f6917,f7270]) ).
fof(f6954,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK690(real,real,realu_lt)))),s(real,sK689(real,real,realu_lt)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5813]) ).
fof(f7268,plain,
( ~ spl734_22
| ~ spl734_14
| spl734_1 ),
inference(avatar_split_clause,[],[f6961,f6917,f7216,f7265]) ).
fof(f7265,plain,
( spl734_22
<=> sP312(a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_22])]) ).
fof(f6961,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sP312(a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| spl734_1 ),
inference(resolution,[],[f6919,f4920]) ).
fof(f7263,plain,
( ~ spl734_14
| spl734_1
| ~ spl734_3 ),
inference(avatar_split_clause,[],[f7262,f6928,f6917,f7216]) ).
fof(f7262,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| spl734_1
| ~ spl734_3 ),
inference(subsumption_resolution,[],[f6932,f6930]) ).
fof(f6932,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| spl734_1 ),
inference(resolution,[],[f6919,f5404]) ).
fof(f5404,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f2976]) ).
fof(f7261,plain,
( ~ spl734_21
| spl734_1 ),
inference(avatar_split_clause,[],[f6933,f6917,f7258]) ).
fof(f6933,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))),s(real,a0))))
| spl734_1 ),
inference(resolution,[],[f6919,f4167]) ).
fof(f7256,plain,
( spl734_8
| spl734_1 ),
inference(avatar_split_clause,[],[f6947,f6917,f7186]) ).
fof(f6947,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f5340]) ).
fof(f7255,plain,
( spl734_20
| spl734_1 ),
inference(avatar_split_clause,[],[f7016,f6917,f7252]) ).
fof(f7016,plain,
( sQ733_eqProxy(s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)),s(real,a0))
| spl734_1 ),
inference(resolution,[],[f6919,f6713]) ).
fof(f7250,plain,
( ~ spl734_19
| spl734_1 ),
inference(avatar_split_clause,[],[f6977,f6917,f7247]) ).
fof(f7247,plain,
( spl734_19
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_19])]) ).
fof(f6977,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))))))
| spl734_1 ),
inference(resolution,[],[f6919,f4773]) ).
fof(f7245,plain,
( spl734_7
| spl734_4
| spl734_1 ),
inference(avatar_split_clause,[],[f6951,f6917,f7167,f7181]) ).
fof(f6951,plain,
( sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f6114]) ).
fof(f7244,plain,
( spl734_7
| spl734_6
| spl734_1 ),
inference(avatar_split_clause,[],[f6952,f6917,f7176,f7181]) ).
fof(f6952,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f6114]) ).
fof(f7242,plain,
( ~ spl734_18
| spl734_1 ),
inference(avatar_split_clause,[],[f6976,f6917,f7239]) ).
fof(f6976,plain,
( ~ sP251(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)
| spl734_1 ),
inference(resolution,[],[f6919,f4749]) ).
fof(f7237,plain,
( spl734_8
| spl734_1 ),
inference(avatar_split_clause,[],[f6944,f6917,f7186]) ).
fof(f6944,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f5118]) ).
fof(f7236,plain,
( spl734_7
| spl734_6
| spl734_1 ),
inference(avatar_split_clause,[],[f6949,f6917,f7176,f7181]) ).
fof(f6949,plain,
( sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f5970]) ).
fof(f7235,plain,
( ~ spl734_17
| spl734_1 ),
inference(avatar_split_clause,[],[f6998,f6917,f7232]) ).
fof(f7232,plain,
( spl734_17
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_17])]) ).
fof(f6998,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK625(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5640]) ).
fof(f7230,plain,
( ~ spl734_16
| spl734_1 ),
inference(avatar_split_clause,[],[f6959,f6917,f7227]) ).
fof(f6959,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,sK688(real,real,realu_lt)))),s(real,sK687(real,real,realu_lt)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5814]) ).
fof(f7225,plain,
( spl734_8
| spl734_1 ),
inference(avatar_split_clause,[],[f6937,f6917,f7186]) ).
fof(f6937,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f4322]) ).
fof(f7224,plain,
( ~ spl734_15
| spl734_1 ),
inference(avatar_split_clause,[],[f6999,f6917,f7221]) ).
fof(f7221,plain,
( spl734_15
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_15])]) ).
fof(f6999,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK626(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),a0,real)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5647]) ).
fof(f7219,plain,
( ~ spl734_13
| ~ spl734_14
| spl734_1 ),
inference(avatar_split_clause,[],[f6960,f6917,f7216,f7212]) ).
fof(f7212,plain,
( spl734_13
<=> sP373(a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_13])]) ).
fof(f6960,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ sP373(a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5055]) ).
fof(f7210,plain,
( ~ spl734_12
| spl734_1 ),
inference(avatar_split_clause,[],[f6997,f6917,f7207]) ).
fof(f7207,plain,
( spl734_12
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_12])]) ).
fof(f6997,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK624(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_1 ),
inference(resolution,[],[f6919,f5639]) ).
fof(f7205,plain,
( spl734_8
| spl734_1 ),
inference(avatar_split_clause,[],[f6942,f6917,f7186]) ).
fof(f6942,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f4768]) ).
fof(f7204,plain,
( ~ spl734_11
| spl734_1 ),
inference(avatar_split_clause,[],[f6972,f6917,f7201]) ).
fof(f7201,plain,
( spl734_11
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_11])]) ).
fof(f6972,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK184(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_1 ),
inference(resolution,[],[f6919,f4577]) ).
fof(f7199,plain,
( ~ spl734_10
| spl734_1 ),
inference(avatar_split_clause,[],[f6971,f6917,f7196]) ).
fof(f7196,plain,
( spl734_10
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl734_10])]) ).
fof(f6971,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,sK183(i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))),real)))))
| spl734_1 ),
inference(resolution,[],[f6919,f4576]) ).
fof(f7194,plain,
( spl734_9
| spl734_1 ),
inference(avatar_split_clause,[],[f7010,f6917,f7191]) ).
fof(f7010,plain,
( sQ733_eqProxy(s(real,sK256(real,a0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291)))))),s(real,a0))
| spl734_1 ),
inference(resolution,[],[f6919,f6241]) ).
fof(f7189,plain,
( spl734_8
| spl734_1 ),
inference(avatar_split_clause,[],[f6939,f6917,f7186]) ).
fof(f6939,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f4687]) ).
fof(f7184,plain,
( spl734_7
| spl734_4
| spl734_1 ),
inference(avatar_split_clause,[],[f6948,f6917,f7167,f7181]) ).
fof(f6948,plain,
( sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))))
| spl734_1 ),
inference(resolution,[],[f6919,f5970]) ).
fof(f7179,plain,
( spl734_6
| ~ spl734_5
| spl734_1 ),
inference(avatar_split_clause,[],[f6953,f6917,f7171,f7176]) ).
fof(f6953,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| sQ733_eqProxy(s(real,a0),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))
| spl734_1 ),
inference(resolution,[],[f6919,f6134]) ).
fof(f7174,plain,
( spl734_4
| ~ spl734_5
| spl734_1 ),
inference(avatar_split_clause,[],[f6950,f6917,f7171,f7167]) ).
fof(f6950,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| sQ733_eqProxy(s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))),s(real,a0))
| spl734_1 ),
inference(resolution,[],[f6919,f6004]) ).
fof(f6931,plain,
spl734_3,
inference(avatar_split_clause,[],[f6926,f6928]) ).
fof(f6926,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))),
inference(subsumption_resolution,[],[f4873,f5402]) ).
fof(f5402,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(cnf_transformation,[],[f2976]) ).
fof(f4873,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f3934]) ).
fof(f3934,plain,
? [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0))))
<~> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
inference(ennf_transformation,[],[f3018]) ).
fof(f3018,plain,
~ ! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,a0)))) ),
inference(rectify,[],[f2886]) ).
fof(f2886,negated_conjecture,
~ ! [X732,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
inference(negated_conjecture,[],[f2885]) ).
fof(f2885,conjecture,
! [X732,X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),vectoru_norm),s(cart(real,X732),X0))))),s(real,a0))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X732),real),i(s(fun(cart(real,X732),fun(cart(real,X732),real)),dot),s(cart(real,X732),X0))),s(cart(real,X732),X0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUAREu_ALT) ).
fof(f6925,plain,
( spl734_2
| spl734_1 ),
inference(avatar_split_clause,[],[f4874,f6917,f6921]) ).
fof(f4874,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f3934]) ).
fof(f6924,plain,
( ~ spl734_1
| ~ spl734_2 ),
inference(avatar_split_clause,[],[f6915,f6921,f6917]) ).
fof(f6915,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0)))) ),
inference(subsumption_resolution,[],[f4872,f5402]) ).
fof(f4872,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),vectoru_norm),s(cart(real,sK290),sK291))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK290),real),i(s(fun(cart(real,sK290),fun(cart(real,sK290),real)),dot),s(cart(real,sK290),sK291))),s(cart(real,sK290),sK291))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
inference(cnf_transformation,[],[f3934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:10:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.34/1.10 % (13320)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3Mi)
% 1.34/1.10 % (13328)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/82Mi)
% 1.34/1.11 % (13320)Instruction limit reached!
% 1.34/1.11 % (13320)------------------------------
% 1.34/1.11 % (13320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/1.11 % (13320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/1.11 % (13320)Termination reason: Unknown
% 1.34/1.11 % (13320)Termination phase: shuffling
% 1.34/1.11
% 1.34/1.11 % (13320)Memory used [KB]: 9850
% 1.34/1.11 % (13320)Time elapsed: 0.007 s
% 1.34/1.11 % (13320)Instructions burned: 3 (million)
% 1.34/1.11 % (13320)------------------------------
% 1.34/1.11 % (13320)------------------------------
% 1.34/1.12 % (13312)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/39Mi)
% 1.34/1.14 % (13331)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/95Mi)
% 1.34/1.16 % (13319)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/51Mi)
% 1.34/1.16 % (13327)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/99Mi)
% 1.34/1.17 % (13309)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/51Mi)
% 1.34/1.17 % (13335)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/24Mi)
% 1.34/1.17 % (13323)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3Mi)
% 1.34/1.17 % (13307)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/13Mi)
% 1.34/1.17 % (13308)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3Mi)
% 1.34/1.17 % (13330)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/50Mi)
% 1.34/1.17 % (13315)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/33Mi)
% 1.34/1.18 % (13308)Instruction limit reached!
% 1.34/1.18 % (13308)------------------------------
% 1.34/1.18 % (13308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/1.18 % (13308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/1.18 % (13308)Termination reason: Unknown
% 1.34/1.18 % (13308)Termination phase: shuffling
% 1.34/1.18
% 1.34/1.18 % (13308)Memory used [KB]: 9722
% 1.34/1.18 % (13308)Time elapsed: 0.004 s
% 1.34/1.18 % (13308)Instructions burned: 3 (million)
% 1.34/1.18 % (13308)------------------------------
% 1.34/1.18 % (13308)------------------------------
% 1.34/1.18 % (13326)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/30Mi)
% 1.34/1.18 % (13322)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/50Mi)
% 1.34/1.18 % (13311)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/15Mi)
% 2.09/1.18 % (13310)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/13Mi)
% 2.09/1.18 % (13323)Instruction limit reached!
% 2.09/1.18 % (13323)------------------------------
% 2.09/1.18 % (13323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.18 % (13321)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/7Mi)
% 2.09/1.19 % (13318)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/16Mi)
% 2.09/1.19 % (13314)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/49Mi)
% 2.09/1.19 % (13313)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/39Mi)
% 2.09/1.19 % (13332)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/99Mi)
% 2.09/1.19 % (13316)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/12Mi)
% 2.09/1.19 % (13333)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/25Mi)
% 2.09/1.19 % (13323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.19 % (13323)Termination reason: Unknown
% 2.09/1.19 % (13323)Termination phase: shuffling
% 2.09/1.19
% 2.09/1.19 % (13323)Memory used [KB]: 9850
% 2.09/1.19 % (13323)Time elapsed: 0.006 s
% 2.09/1.19 % (13323)Instructions burned: 3 (million)
% 2.09/1.19 % (13323)------------------------------
% 2.09/1.19 % (13323)------------------------------
% 2.09/1.19 % (13324)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2Mi)
% 2.09/1.19 % (13306)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/99978Mi)
% 2.09/1.19 % (13329)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/45Mi)
% 2.09/1.19 % (13324)Instruction limit reached!
% 2.09/1.19 % (13324)------------------------------
% 2.09/1.19 % (13324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.19 % (13324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.19 % (13324)Termination reason: Unknown
% 2.09/1.19 % (13324)Termination phase: shuffling
% 2.09/1.19
% 2.09/1.19 % (13324)Memory used [KB]: 9722
% 2.09/1.19 % (13324)Time elapsed: 0.005 s
% 2.09/1.19 % (13324)Instructions burned: 2 (million)
% 2.09/1.19 % (13324)------------------------------
% 2.09/1.19 % (13324)------------------------------
% 2.09/1.20 % (13312)Instruction limit reached!
% 2.09/1.20 % (13312)------------------------------
% 2.09/1.20 % (13312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.20 % (13312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.20 % (13312)Termination reason: Unknown
% 2.09/1.20 % (13312)Termination phase: SInE selection
% 2.09/1.20
% 2.09/1.20 % (13312)Memory used [KB]: 10106
% 2.09/1.20 % (13312)Time elapsed: 0.035 s
% 2.09/1.20 % (13312)Instructions burned: 41 (million)
% 2.09/1.20 % (13312)------------------------------
% 2.09/1.20 % (13312)------------------------------
% 2.09/1.20 % (13334)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8Mi)
% 2.09/1.20 % (13325)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/11Mi)
% 2.09/1.21 % (13307)Instruction limit reached!
% 2.09/1.21 % (13307)------------------------------
% 2.09/1.21 % (13307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.21 % (13307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.21 % (13307)Termination reason: Unknown
% 2.09/1.21 % (13307)Termination phase: SInE selection
% 2.09/1.21
% 2.09/1.21 % (13307)Memory used [KB]: 10106
% 2.09/1.21 % (13307)Time elapsed: 0.011 s
% 2.09/1.21 % (13307)Instructions burned: 13 (million)
% 2.09/1.21 % (13307)------------------------------
% 2.09/1.21 % (13307)------------------------------
% 2.09/1.21 % (13317)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/7Mi)
% 2.09/1.21 % (13316)Instruction limit reached!
% 2.09/1.21 % (13316)------------------------------
% 2.09/1.21 % (13316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.21 % (13316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.21 % (13316)Termination reason: Unknown
% 2.09/1.21 % (13316)Termination phase: SInE selection
% 2.09/1.21
% 2.09/1.21 % (13316)Memory used [KB]: 10106
% 2.09/1.21 % (13316)Time elapsed: 0.021 s
% 2.09/1.21 % (13316)Instructions burned: 12 (million)
% 2.09/1.21 % (13316)------------------------------
% 2.09/1.21 % (13316)------------------------------
% 2.09/1.21 % (13321)Instruction limit reached!
% 2.09/1.21 % (13321)------------------------------
% 2.09/1.21 % (13321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.21 % (13321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.21 % (13321)Termination reason: Unknown
% 2.09/1.21 % (13321)Termination phase: Preprocessing 1
% 2.09/1.21
% 2.09/1.21 % (13321)Memory used [KB]: 10234
% 2.09/1.21 % (13321)Time elapsed: 0.012 s
% 2.09/1.21 % (13321)Instructions burned: 8 (million)
% 2.09/1.21 % (13321)------------------------------
% 2.09/1.21 % (13321)------------------------------
% 2.09/1.21 % (13328)Instruction limit reached!
% 2.09/1.21 % (13328)------------------------------
% 2.09/1.21 % (13328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/1.21 % (13328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/1.21 % (13328)Termination reason: Unknown
% 2.09/1.21 % (13328)Termination phase: SInE selection
% 2.09/1.21
% 2.09/1.21 % (13328)Memory used [KB]: 10106
% 2.09/1.21 % (13328)Time elapsed: 0.057 s
% 2.09/1.21 % (13328)Instructions burned: 82 (million)
% 2.09/1.21 % (13328)------------------------------
% 2.09/1.21 % (13328)------------------------------
% 2.33/1.22 % (13310)Instruction limit reached!
% 2.33/1.22 % (13310)------------------------------
% 2.33/1.22 % (13310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/1.22 % (13310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/1.22 % (13310)Termination reason: Unknown
% 2.33/1.22 % (13310)Termination phase: SInE selection
% 2.33/1.22
% 2.33/1.22 % (13310)Memory used [KB]: 10106
% 2.33/1.22 % (13310)Time elapsed: 0.012 s
% 2.33/1.22 % (13310)Instructions burned: 14 (million)
% 2.33/1.22 % (13310)------------------------------
% 2.33/1.22 % (13310)------------------------------
% 2.33/1.22 % (13311)Instruction limit reached!
% 2.33/1.22 % (13311)------------------------------
% 2.33/1.22 % (13311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/1.22 % (13311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/1.22 % (13311)Termination reason: Unknown
% 2.33/1.22 % (13311)Termination phase: SInE selection
% 2.33/1.22
% 2.33/1.22 % (13311)Memory used [KB]: 10106
% 2.33/1.22 % (13311)Time elapsed: 0.014 s
% 2.33/1.22 % (13311)Instructions burned: 17 (million)
% 2.33/1.22 % (13311)------------------------------
% 2.33/1.22 % (13311)------------------------------
% 2.33/1.22 % (13318)Instruction limit reached!
% 2.33/1.22 % (13318)------------------------------
% 2.33/1.22 % (13318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/1.22 % (13318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/1.22 % (13318)Termination reason: Unknown
% 2.33/1.22 % (13318)Termination phase: SInE selection
% 2.33/1.22
% 2.33/1.22 % (13318)Memory used [KB]: 10106
% 2.33/1.22 % (13318)Time elapsed: 0.014 s
% 2.33/1.22 % (13318)Instructions burned: 18 (million)
% 2.33/1.22 % (13318)------------------------------
% 2.33/1.22 % (13318)------------------------------
% 2.33/1.22 % (13334)Instruction limit reached!
% 2.33/1.22 % (13334)------------------------------
% 2.33/1.22 % (13334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/1.22 % (13334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/1.22 % (13334)Termination reason: Unknown
% 2.33/1.22 % (13334)Termination phase: Preprocessing 1
% 2.33/1.22
% 2.33/1.22 % (13334)Memory used [KB]: 10106
% 2.33/1.22 % (13334)Time elapsed: 0.011 s
% 2.33/1.22 % (13334)Instructions burned: 8 (million)
% 2.33/1.22 % (13334)------------------------------
% 2.33/1.22 % (13334)------------------------------
% 2.33/1.23 % (13335)Instruction limit reached!
% 2.33/1.23 % (13335)------------------------------
% 2.33/1.23 % (13335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/1.23 % (13335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/1.23 % (13335)Termination reason: Unknown
% 2.33/1.23 % (13335)Termination phase: SInE selection
% 2.33/1.23
% 2.33/1.23 % (13335)Memory used [KB]: 10106
% 2.33/1.23 % (13335)Time elapsed: 0.021 s
% 2.33/1.23 % (13335)Instructions burned: 24 (million)
% 2.33/1.23 % (13335)------------------------------
% 2.33/1.23 % (13335)------------------------------
% 2.44/1.23 % (13319)Instruction limit reached!
% 2.44/1.23 % (13319)------------------------------
% 2.44/1.23 % (13319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.23 % (13315)Instruction limit reached!
% 2.44/1.23 % (13315)------------------------------
% 2.44/1.23 % (13315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.23 % (13315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.23 % (13315)Termination reason: Unknown
% 2.44/1.23 % (13315)Termination phase: SInE selection
% 2.44/1.23
% 2.44/1.23 % (13315)Memory used [KB]: 10106
% 2.44/1.23 % (13315)Time elapsed: 0.022 s
% 2.44/1.23 % (13315)Instructions burned: 35 (million)
% 2.44/1.23 % (13315)------------------------------
% 2.44/1.23 % (13315)------------------------------
% 2.44/1.23 % (13319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.23 % (13319)Termination reason: Unknown
% 2.44/1.23 % (13319)Termination phase: SInE selection
% 2.44/1.23
% 2.44/1.23 % (13319)Memory used [KB]: 10106
% 2.44/1.23 % (13319)Time elapsed: 0.037 s
% 2.44/1.23 % (13319)Instructions burned: 52 (million)
% 2.44/1.23 % (13319)------------------------------
% 2.44/1.23 % (13319)------------------------------
% 2.44/1.23 % (13325)Instruction limit reached!
% 2.44/1.23 % (13325)------------------------------
% 2.44/1.23 % (13325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.23 % (13325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.23 % (13325)Termination reason: Unknown
% 2.44/1.23 % (13325)Termination phase: SInE selection
% 2.44/1.23
% 2.44/1.23 % (13325)Memory used [KB]: 10106
% 2.44/1.23 % (13325)Time elapsed: 0.011 s
% 2.44/1.23 % (13325)Instructions burned: 12 (million)
% 2.44/1.23 % (13325)------------------------------
% 2.44/1.23 % (13325)------------------------------
% 2.44/1.23 % (13336)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/92Mi)
% 2.44/1.23 % (13317)Instruction limit reached!
% 2.44/1.23 % (13317)------------------------------
% 2.44/1.23 % (13317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.23 % (13317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.23 % (13317)Termination reason: Unknown
% 2.44/1.23 % (13317)Termination phase: SInE selection
% 2.44/1.23
% 2.44/1.23 % (13317)Memory used [KB]: 10106
% 2.44/1.23 % (13317)Time elapsed: 0.009 s
% 2.44/1.23 % (13317)Instructions burned: 8 (million)
% 2.44/1.23 % (13317)------------------------------
% 2.44/1.23 % (13317)------------------------------
% 2.44/1.24 % (13333)Instruction limit reached!
% 2.44/1.24 % (13333)------------------------------
% 2.44/1.24 % (13333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.24 % (13333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.24 % (13333)Termination reason: Unknown
% 2.44/1.24 % (13333)Termination phase: SInE selection
% 2.44/1.24
% 2.44/1.24 % (13333)Memory used [KB]: 10106
% 2.44/1.24 % (13333)Time elapsed: 0.017 s
% 2.44/1.24 % (13333)Instructions burned: 26 (million)
% 2.44/1.24 % (13333)------------------------------
% 2.44/1.24 % (13333)------------------------------
% 2.44/1.24 % (13313)Instruction limit reached!
% 2.44/1.24 % (13313)------------------------------
% 2.44/1.24 % (13313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.24 % (13313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.24 % (13313)Termination reason: Unknown
% 2.44/1.24 % (13313)Termination phase: SInE selection
% 2.44/1.24
% 2.44/1.24 % (13313)Memory used [KB]: 10106
% 2.44/1.24 % (13313)Time elapsed: 0.023 s
% 2.44/1.24 % (13313)Instructions burned: 41 (million)
% 2.44/1.24 % (13313)------------------------------
% 2.44/1.24 % (13313)------------------------------
% 2.44/1.25 % (13329)Instruction limit reached!
% 2.44/1.25 % (13329)------------------------------
% 2.44/1.25 % (13329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.25 % (13329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.25 % (13329)Termination reason: Unknown
% 2.44/1.25 % (13329)Termination phase: SInE selection
% 2.44/1.25
% 2.44/1.25 % (13329)Memory used [KB]: 10106
% 2.44/1.25 % (13329)Time elapsed: 0.025 s
% 2.44/1.25 % (13329)Instructions burned: 46 (million)
% 2.44/1.25 % (13329)------------------------------
% 2.44/1.25 % (13329)------------------------------
% 2.44/1.25 % (13326)Instruction limit reached!
% 2.44/1.25 % (13326)------------------------------
% 2.44/1.25 % (13326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.25 % (13326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.25 % (13326)Termination reason: Unknown
% 2.44/1.25 % (13326)Termination phase: SInE selection
% 2.44/1.25
% 2.44/1.25 % (13326)Memory used [KB]: 10106
% 2.44/1.25 % (13326)Time elapsed: 0.021 s
% 2.44/1.25 % (13326)Instructions burned: 32 (million)
% 2.44/1.25 % (13326)------------------------------
% 2.44/1.25 % (13326)------------------------------
% 2.44/1.26 % (13309)Instruction limit reached!
% 2.44/1.26 % (13309)------------------------------
% 2.44/1.26 % (13309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.26 % (13309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.26 % (13309)Termination reason: Unknown
% 2.44/1.26 % (13309)Termination phase: SInE selection
% 2.44/1.26
% 2.44/1.26 % (13309)Memory used [KB]: 10106
% 2.44/1.26 % (13309)Time elapsed: 0.030 s
% 2.44/1.26 % (13309)Instructions burned: 53 (million)
% 2.44/1.26 % (13309)------------------------------
% 2.44/1.26 % (13309)------------------------------
% 2.44/1.27 % (13314)Instruction limit reached!
% 2.44/1.27 % (13314)------------------------------
% 2.44/1.27 % (13314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.27 % (13314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.27 % (13314)Termination reason: Unknown
% 2.44/1.27 % (13314)Termination phase: SInE selection
% 2.44/1.27
% 2.44/1.27 % (13314)Memory used [KB]: 10106
% 2.44/1.27 % (13314)Time elapsed: 0.028 s
% 2.44/1.27 % (13314)Instructions burned: 49 (million)
% 2.44/1.27 % (13314)------------------------------
% 2.44/1.27 % (13314)------------------------------
% 2.44/1.28 % (13322)Instruction limit reached!
% 2.44/1.28 % (13322)------------------------------
% 2.44/1.28 % (13322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.28 % (13322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.28 % (13322)Termination reason: Unknown
% 2.44/1.28 % (13322)Termination phase: Preprocessing 1
% 2.44/1.28
% 2.44/1.28 % (13322)Memory used [KB]: 12025
% 2.44/1.28 % (13322)Time elapsed: 0.030 s
% 2.44/1.28 % (13322)Instructions burned: 50 (million)
% 2.44/1.28 % (13322)------------------------------
% 2.44/1.28 % (13322)------------------------------
% 2.44/1.28 % (13330)Instruction limit reached!
% 2.44/1.28 % (13330)------------------------------
% 2.44/1.28 % (13330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.28 % (13330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.28 % (13330)Termination reason: Unknown
% 2.44/1.28 % (13330)Termination phase: SInE selection
% 2.44/1.28
% 2.44/1.28 % (13330)Memory used [KB]: 10106
% 2.44/1.28 % (13330)Time elapsed: 0.028 s
% 2.44/1.28 % (13330)Instructions burned: 51 (million)
% 2.44/1.28 % (13330)------------------------------
% 2.44/1.28 % (13330)------------------------------
% 2.44/1.29 % (13331)Instruction limit reached!
% 2.44/1.29 % (13331)------------------------------
% 2.44/1.29 % (13331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.29 % (13331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.29 % (13331)Termination reason: Unknown
% 2.44/1.29 % (13331)Termination phase: Preprocessing 1
% 2.44/1.29
% 2.44/1.29 % (13331)Memory used [KB]: 10362
% 2.44/1.29 % (13331)Time elapsed: 0.054 s
% 2.44/1.29 % (13331)Instructions burned: 96 (million)
% 2.44/1.29 % (13331)------------------------------
% 2.44/1.29 % (13331)------------------------------
% 2.44/1.29 % (13337)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/7Mi)
% 2.44/1.29 % (13327)Instruction limit reached!
% 2.44/1.29 % (13327)------------------------------
% 2.44/1.29 % (13327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/1.29 % (13327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/1.29 % (13327)Termination reason: Unknown
% 2.44/1.29 % (13327)Termination phase: SInE selection
% 2.44/1.29
% 2.44/1.29 % (13327)Memory used [KB]: 10106
% 2.44/1.29 % (13327)Time elapsed: 0.090 s
% 2.44/1.29 % (13327)Instructions burned: 99 (million)
% 2.44/1.29 % (13327)------------------------------
% 2.44/1.29 % (13327)------------------------------
% 2.78/1.32 % (13337)Instruction limit reached!
% 2.78/1.32 % (13337)------------------------------
% 2.78/1.32 % (13337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/1.32 % (13337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/1.32 % (13337)Termination reason: Unknown
% 2.78/1.32 % (13337)Termination phase: SInE selection
% 2.78/1.32
% 2.78/1.32 % (13337)Memory used [KB]: 10106
% 2.78/1.32 % (13337)Time elapsed: 0.008 s
% 2.78/1.32 % (13337)Instructions burned: 7 (million)
% 2.78/1.32 % (13337)------------------------------
% 2.78/1.32 % (13337)------------------------------
% 2.78/1.33 % (13340)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/107Mi)
% 2.78/1.33 % (13344)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/31Mi)
% 2.78/1.34 % (13338)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/87Mi)
% 2.78/1.35 % (13343)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/42Mi)
% 2.78/1.35 % (13339)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/69Mi)
% 2.78/1.35 % (13353)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/149Mi)
% 2.78/1.35 % (13347)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/131Mi)
% 2.78/1.35 % (13336)Instruction limit reached!
% 2.78/1.35 % (13336)------------------------------
% 2.78/1.35 % (13336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/1.35 % (13336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/1.35 % (13336)Termination reason: Unknown
% 2.78/1.35 % (13336)Termination phase: Preprocessing 1
% 2.78/1.35
% 2.78/1.35 % (13336)Memory used [KB]: 10874
% 2.78/1.35 % (13336)Time elapsed: 0.046 s
% 2.78/1.35 % (13336)Instructions burned: 92 (million)
% 2.78/1.35 % (13336)------------------------------
% 2.78/1.35 % (13336)------------------------------
% 2.78/1.35 % (13332)Instruction limit reached!
% 2.78/1.35 % (13332)------------------------------
% 2.78/1.35 % (13332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/1.35 % (13332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/1.35 % (13332)Termination reason: Unknown
% 2.78/1.35 % (13332)Termination phase: Preprocessing 1
% 2.78/1.35
% 2.78/1.35 % (13332)Memory used [KB]: 16119
% 2.78/1.35 % (13332)Time elapsed: 0.070 s
% 2.78/1.35 % (13332)Instructions burned: 100 (million)
% 2.78/1.35 % (13332)------------------------------
% 2.78/1.35 % (13332)------------------------------
% 2.78/1.36 % (13345)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/68Mi)
% 2.78/1.36 % (13348)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/93Mi)
% 2.78/1.36 % (13341)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/56Mi)
% 2.78/1.36 % (13342)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/141Mi)
% 2.78/1.36 % (13346)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/84Mi)
% 2.78/1.37 % (13350)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/86Mi)
% 2.78/1.37 % (13358)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/10Mi)
% 2.78/1.38 % (13351)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/15Mi)
% 2.92/1.38 % (13349)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/109Mi)
% 2.92/1.39 % (13354)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/66Mi)
% 2.92/1.39 % (13344)Instruction limit reached!
% 2.92/1.39 % (13344)------------------------------
% 2.92/1.39 % (13344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.39 % (13344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.39 % (13344)Termination reason: Unknown
% 2.92/1.39 % (13344)Termination phase: Preprocessing 1
% 2.92/1.39
% 2.92/1.39 % (13344)Memory used [KB]: 11257
% 2.92/1.39 % (13344)Time elapsed: 0.019 s
% 2.92/1.39 % (13344)Instructions burned: 32 (million)
% 2.92/1.39 % (13344)------------------------------
% 2.92/1.39 % (13344)------------------------------
% 2.92/1.39 % (13352)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/32Mi)
% 2.92/1.39 % (13356)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/341Mi)
% 2.92/1.40 % (13357)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/237Mi)
% 2.92/1.40 % (13355)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/19Mi)
% 2.92/1.40 % (13358)Instruction limit reached!
% 2.92/1.40 % (13358)------------------------------
% 2.92/1.40 % (13358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.40 % (13358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.40 % (13358)Termination reason: Unknown
% 2.92/1.40 % (13358)Termination phase: SInE selection
% 2.92/1.40
% 2.92/1.40 % (13358)Memory used [KB]: 10106
% 2.92/1.40 % (13358)Time elapsed: 0.010 s
% 2.92/1.40 % (13358)Instructions burned: 12 (million)
% 2.92/1.40 % (13358)------------------------------
% 2.92/1.40 % (13358)------------------------------
% 2.92/1.41 % (13351)Instruction limit reached!
% 2.92/1.41 % (13351)------------------------------
% 2.92/1.41 % (13351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.41 % (13351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.41 % (13351)Termination reason: Unknown
% 2.92/1.41 % (13351)Termination phase: Preprocessing 1
% 2.92/1.41
% 2.92/1.41 % (13351)Memory used [KB]: 10618
% 2.92/1.41 % (13351)Time elapsed: 0.014 s
% 2.92/1.41 % (13351)Instructions burned: 15 (million)
% 2.92/1.41 % (13351)------------------------------
% 2.92/1.41 % (13351)------------------------------
% 2.92/1.42 % (13363)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/138Mi)
% 2.92/1.42 % (13362)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/21Mi)
% 2.92/1.43 % (13343)Instruction limit reached!
% 2.92/1.43 % (13343)------------------------------
% 2.92/1.43 % (13343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.43 % (13343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.43 % (13343)Termination reason: Unknown
% 2.92/1.43 % (13343)Termination phase: Preprocessing 1
% 2.92/1.43
% 2.92/1.43 % (13343)Memory used [KB]: 11769
% 2.92/1.43 % (13343)Time elapsed: 0.026 s
% 2.92/1.43 % (13343)Instructions burned: 44 (million)
% 2.92/1.43 % (13343)------------------------------
% 2.92/1.43 % (13343)------------------------------
% 2.92/1.43 % (13355)Instruction limit reached!
% 2.92/1.43 % (13355)------------------------------
% 2.92/1.43 % (13355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.43 % (13355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.43 % (13355)Termination reason: Unknown
% 2.92/1.43 % (13355)Termination phase: Preprocessing 1
% 2.92/1.43
% 2.92/1.43 % (13355)Memory used [KB]: 10746
% 2.92/1.43 % (13355)Time elapsed: 0.016 s
% 2.92/1.43 % (13355)Instructions burned: 21 (million)
% 2.92/1.43 % (13355)------------------------------
% 2.92/1.43 % (13355)------------------------------
% 2.92/1.44 % (13359)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/472Mi)
% 2.92/1.44 % (13360)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/21Mi)
% 2.92/1.45 % (13352)Instruction limit reached!
% 2.92/1.45 % (13352)------------------------------
% 2.92/1.45 % (13352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.45 % (13352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.45 % (13352)Termination reason: Unknown
% 2.92/1.45 % (13352)Termination phase: SInE selection
% 2.92/1.45
% 2.92/1.45 % (13352)Memory used [KB]: 10106
% 2.92/1.45 % (13352)Time elapsed: 0.021 s
% 2.92/1.45 % (13352)Instructions burned: 33 (million)
% 2.92/1.45 % (13352)------------------------------
% 2.92/1.45 % (13352)------------------------------
% 2.92/1.45 % (13361)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/97Mi)
% 2.92/1.45 % (13339)Instruction limit reached!
% 2.92/1.45 % (13339)------------------------------
% 2.92/1.45 % (13339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.45 % (13339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.45 % (13339)Termination reason: Unknown
% 2.92/1.45 % (13339)Termination phase: Preprocessing 1
% 2.92/1.45
% 2.92/1.45 % (13339)Memory used [KB]: 12792
% 2.92/1.45 % (13339)Time elapsed: 0.039 s
% 2.92/1.45 % (13339)Instructions burned: 70 (million)
% 2.92/1.45 % (13339)------------------------------
% 2.92/1.45 % (13339)------------------------------
% 2.92/1.46 % (13350)Instruction limit reached!
% 2.92/1.46 % (13350)------------------------------
% 2.92/1.46 % (13350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.46 % (13350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.46 % (13350)Termination reason: Unknown
% 2.92/1.46 % (13350)Termination phase: SInE selection
% 2.92/1.46
% 2.92/1.46 % (13350)Memory used [KB]: 10106
% 2.92/1.46 % (13350)Time elapsed: 0.041 s
% 2.92/1.46 % (13350)Instructions burned: 86 (million)
% 2.92/1.46 % (13350)------------------------------
% 2.92/1.46 % (13350)------------------------------
% 2.92/1.46 % (13341)Instruction limit reached!
% 2.92/1.46 % (13341)------------------------------
% 2.92/1.46 % (13341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/1.46 % (13341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/1.46 % (13341)Termination reason: Unknown
% 2.92/1.46 % (13341)Termination phase: SInE selection
% 2.92/1.46
% 2.92/1.46 % (13341)Memory used [KB]: 10106
% 2.92/1.46 % (13341)Time elapsed: 0.031 s
% 2.92/1.46 % (13341)Instructions burned: 57 (million)
% 2.92/1.46 % (13341)------------------------------
% 2.92/1.46 % (13341)------------------------------
% 3.45/1.48 % (13362)Instruction limit reached!
% 3.45/1.48 % (13362)------------------------------
% 3.45/1.48 % (13362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/1.48 % (13362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/1.48 % (13362)Termination reason: Unknown
% 3.45/1.48 % (13362)Termination phase: SInE selection
% 3.45/1.48
% 3.45/1.48 % (13362)Memory used [KB]: 10106
% 3.45/1.48 % (13362)Time elapsed: 0.015 s
% 3.45/1.48 % (13362)Instructions burned: 23 (million)
% 3.45/1.48 % (13362)------------------------------
% 3.45/1.48 % (13362)------------------------------
% 3.50/1.48 % (13366)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/93Mi)
% 3.50/1.49 % (13364)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/393Mi)
% 3.50/1.49 % (13340)Instruction limit reached!
% 3.50/1.49 % (13340)------------------------------
% 3.50/1.49 % (13340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.49 % (13340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.49 % (13340)Termination reason: Unknown
% 3.50/1.49 % (13340)Termination phase: Preprocessing 1
% 3.50/1.49
% 3.50/1.49 % (13340)Memory used [KB]: 11001
% 3.50/1.49 % (13340)Time elapsed: 0.050 s
% 3.50/1.49 % (13340)Instructions burned: 108 (million)
% 3.50/1.49 % (13340)------------------------------
% 3.50/1.49 % (13340)------------------------------
% 3.50/1.49 % (13365)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/488Mi)
% 3.50/1.49 % (13338)Instruction limit reached!
% 3.50/1.49 % (13338)------------------------------
% 3.50/1.49 % (13338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.49 % (13338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.49 % (13338)Termination reason: Unknown
% 3.50/1.49 % (13338)Termination phase: Preprocessing 1
% 3.50/1.49
% 3.50/1.49 % (13338)Memory used [KB]: 10746
% 3.50/1.49 % (13338)Time elapsed: 0.046 s
% 3.50/1.49 % (13338)Instructions burned: 88 (million)
% 3.50/1.49 % (13338)------------------------------
% 3.50/1.49 % (13338)------------------------------
% 3.50/1.50 % (13360)Instruction limit reached!
% 3.50/1.50 % (13360)------------------------------
% 3.50/1.50 % (13360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.50 % (13360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.50 % (13360)Termination reason: Unknown
% 3.50/1.50 % (13360)Termination phase: SInE selection
% 3.50/1.50
% 3.50/1.50 % (13360)Memory used [KB]: 10106
% 3.50/1.50 % (13360)Time elapsed: 0.016 s
% 3.50/1.50 % (13360)Instructions burned: 23 (million)
% 3.50/1.50 % (13360)------------------------------
% 3.50/1.50 % (13360)------------------------------
% 3.50/1.50 % (13354)Instruction limit reached!
% 3.50/1.50 % (13354)------------------------------
% 3.50/1.50 % (13354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.50 % (13354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.50 % (13354)Termination reason: Unknown
% 3.50/1.50 % (13354)Termination phase: SInE selection
% 3.50/1.50
% 3.50/1.50 % (13354)Memory used [KB]: 10106
% 3.50/1.50 % (13354)Time elapsed: 0.035 s
% 3.50/1.50 % (13354)Instructions burned: 66 (million)
% 3.50/1.50 % (13354)------------------------------
% 3.50/1.50 % (13354)------------------------------
% 3.50/1.50 % (13346)Instruction limit reached!
% 3.50/1.50 % (13346)------------------------------
% 3.50/1.50 % (13346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.50 % (13346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.50 % (13346)Termination reason: Unknown
% 3.50/1.50 % (13346)Termination phase: Preprocessing 1
% 3.50/1.50
% 3.50/1.50 % (13346)Memory used [KB]: 11001
% 3.50/1.50 % (13346)Time elapsed: 0.045 s
% 3.50/1.50 % (13346)Instructions burned: 84 (million)
% 3.50/1.50 % (13346)------------------------------
% 3.50/1.50 % (13346)------------------------------
% 3.50/1.50 % (13345)Instruction limit reached!
% 3.50/1.50 % (13345)------------------------------
% 3.50/1.50 % (13345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.50 % (13345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.50 % (13345)Termination reason: Unknown
% 3.50/1.50 % (13345)Termination phase: SInE selection
% 3.50/1.50
% 3.50/1.50 % (13345)Memory used [KB]: 10106
% 3.50/1.50 % (13345)Time elapsed: 0.039 s
% 3.50/1.50 % (13345)Instructions burned: 70 (million)
% 3.50/1.50 % (13345)------------------------------
% 3.50/1.50 % (13345)------------------------------
% 3.91/1.51 % (13368)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/221Mi)
% 3.91/1.52 % (13348)Instruction limit reached!
% 3.91/1.52 % (13348)------------------------------
% 3.91/1.52 % (13348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.91/1.52 % (13348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.91/1.52 % (13348)Termination reason: Unknown
% 3.91/1.52 % (13348)Termination phase: Preprocessing 1
% 3.91/1.52
% 3.91/1.52 % (13348)Memory used [KB]: 11001
% 3.91/1.52 % (13348)Time elapsed: 0.048 s
% 3.91/1.52 % (13348)Instructions burned: 93 (million)
% 3.91/1.52 % (13348)------------------------------
% 3.91/1.52 % (13348)------------------------------
% 3.91/1.52 % (13367)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/23Mi)
% 3.91/1.52 % (13353)Instruction limit reached!
% 3.91/1.52 % (13353)------------------------------
% 3.91/1.52 % (13353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.91/1.52 % (13353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.91/1.52 % (13353)Termination reason: Unknown
% 3.91/1.52 % (13353)Termination phase: Preprocessing 1
% 3.91/1.52
% 3.91/1.52 % (13353)Memory used [KB]: 10618
% 3.91/1.52 % (13353)Time elapsed: 0.170 s
% 3.91/1.52 % (13353)Instructions burned: 149 (million)
% 3.91/1.52 % (13353)------------------------------
% 3.91/1.52 % (13353)------------------------------
% 4.12/1.54 % (13349)Instruction limit reached!
% 4.12/1.54 % (13349)------------------------------
% 4.12/1.54 % (13349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.54 % (13349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.54 % (13349)Termination reason: Unknown
% 4.12/1.54 % (13349)Termination phase: SInE selection
% 4.12/1.54
% 4.12/1.54 % (13349)Memory used [KB]: 10106
% 4.12/1.54 % (13349)Time elapsed: 0.049 s
% 4.12/1.54 % (13349)Instructions burned: 111 (million)
% 4.12/1.54 % (13349)------------------------------
% 4.12/1.54 % (13349)------------------------------
% 4.12/1.56 % (13369)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/222Mi)
% 4.12/1.57 % (13347)Instruction limit reached!
% 4.12/1.57 % (13347)------------------------------
% 4.12/1.57 % (13347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.57 % (13347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.57 % (13347)Termination reason: Unknown
% 4.12/1.57 % (13347)Termination phase: SInE selection
% 4.12/1.57
% 4.12/1.57 % (13347)Memory used [KB]: 10106
% 4.12/1.57 % (13347)Time elapsed: 0.063 s
% 4.12/1.57 % (13347)Instructions burned: 131 (million)
% 4.12/1.57 % (13347)------------------------------
% 4.12/1.57 % (13347)------------------------------
% 4.12/1.57 % (13342)Instruction limit reached!
% 4.12/1.57 % (13342)------------------------------
% 4.12/1.57 % (13342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.57 % (13342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.57 % (13342)Termination reason: Unknown
% 4.12/1.57 % (13342)Termination phase: Saturation
% 4.12/1.57
% 4.12/1.57 % (13342)Memory used [KB]: 11513
% 4.12/1.57 % (13342)Time elapsed: 0.065 s
% 4.12/1.57 % (13342)Instructions burned: 142 (million)
% 4.12/1.57 % (13342)------------------------------
% 4.12/1.57 % (13342)------------------------------
% 4.12/1.57 % (13367)Instruction limit reached!
% 4.12/1.57 % (13367)------------------------------
% 4.12/1.57 % (13367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.57 % (13367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.57 % (13367)Termination reason: Unknown
% 4.12/1.57 % (13367)Termination phase: Preprocessing 1
% 4.12/1.57
% 4.12/1.57 % (13367)Memory used [KB]: 10746
% 4.12/1.57 % (13367)Time elapsed: 0.016 s
% 4.12/1.57 % (13367)Instructions burned: 23 (million)
% 4.12/1.57 % (13367)------------------------------
% 4.12/1.57 % (13367)------------------------------
% 4.12/1.58 % (13370)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/86Mi)
% 4.12/1.58 % (13363)Instruction limit reached!
% 4.12/1.58 % (13363)------------------------------
% 4.12/1.58 % (13363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.58 % (13363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.58 % (13363)Termination reason: Unknown
% 4.12/1.58 % (13363)Termination phase: Preprocessing 3
% 4.12/1.58
% 4.12/1.58 % (13363)Memory used [KB]: 12409
% 4.12/1.58 % (13363)Time elapsed: 0.160 s
% 4.12/1.58 % (13363)Instructions burned: 138 (million)
% 4.12/1.58 % (13363)------------------------------
% 4.12/1.58 % (13363)------------------------------
% 4.12/1.58 % (13371)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/79Mi)
% 4.12/1.59 % (13373)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/118Mi)
% 4.12/1.60 % (13375)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/113Mi)
% 4.12/1.60 % (13372)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/377Mi)
% 4.12/1.61 % (13376)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/8Mi)
% 4.12/1.61 % (13366)Instruction limit reached!
% 4.12/1.61 % (13366)------------------------------
% 4.12/1.61 % (13366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.61 % (13366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.61 % (13366)Termination reason: Unknown
% 4.12/1.61 % (13366)Termination phase: Preprocessing 1
% 4.12/1.61
% 4.12/1.61 % (13366)Memory used [KB]: 15991
% 4.12/1.61 % (13366)Time elapsed: 0.047 s
% 4.12/1.61 % (13366)Instructions burned: 93 (million)
% 4.12/1.61 % (13366)------------------------------
% 4.12/1.61 % (13366)------------------------------
% 4.57/1.62 % (13374)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/34Mi)
% 4.57/1.62 % (13377)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/390Mi)
% 4.57/1.63 % (13381)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/424Mi)
% 4.57/1.63 % (13380)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/366Mi)
% 4.57/1.63 % (13376)Instruction limit reached!
% 4.57/1.63 % (13376)------------------------------
% 4.57/1.63 % (13376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.57/1.63 % (13376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.57/1.63 % (13376)Termination reason: Unknown
% 4.57/1.63 % (13376)Termination phase: Preprocessing 1
% 4.57/1.63
% 4.57/1.63 % (13376)Memory used [KB]: 10234
% 4.57/1.63 % (13376)Time elapsed: 0.010 s
% 4.57/1.63 % (13376)Instructions burned: 10 (million)
% 4.57/1.63 % (13376)------------------------------
% 4.57/1.63 % (13376)------------------------------
% 4.57/1.64 % (13379)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/357Mi)
% 4.57/1.64 % (13384)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1000Mi)
% 4.57/1.64 % (13361)Instruction limit reached!
% 4.57/1.64 % (13361)------------------------------
% 4.57/1.64 % (13361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.57/1.64 % (13361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.57/1.64 % (13361)Termination reason: Unknown
% 4.57/1.64 % (13361)Termination phase: Preprocessing 1
% 4.57/1.64
% 4.57/1.64 % (13361)Memory used [KB]: 15991
% 4.57/1.64 % (13361)Time elapsed: 0.052 s
% 4.57/1.64 % (13361)Instructions burned: 99 (million)
% 4.57/1.64 % (13361)------------------------------
% 4.57/1.64 % (13361)------------------------------
% 4.57/1.65 % (13383)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/288Mi)
% 4.57/1.65 % (13378)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/23Mi)
% 4.57/1.66 % (13382)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/753Mi)
% 4.57/1.67 % (13385)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/149Mi)
% 4.57/1.68 % (13370)Instruction limit reached!
% 4.57/1.68 % (13370)------------------------------
% 4.57/1.68 % (13370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.57/1.68 % (13370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.57/1.68 % (13370)Termination reason: Unknown
% 4.57/1.68 % (13370)Termination phase: Preprocessing 1
% 4.57/1.68
% 4.57/1.68 % (13370)Memory used [KB]: 15607
% 4.57/1.68 % (13370)Time elapsed: 0.044 s
% 4.57/1.68 % (13370)Instructions burned: 88 (million)
% 4.57/1.68 % (13370)------------------------------
% 4.57/1.68 % (13370)------------------------------
% 6.11/1.70 % (13371)Instruction limit reached!
% 6.11/1.70 % (13371)------------------------------
% 6.11/1.70 % (13371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.70 % (13371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.70 % (13371)Termination reason: Unknown
% 6.11/1.70 % (13371)Termination phase: SInE selection
% 6.11/1.70
% 6.11/1.70 % (13371)Memory used [KB]: 10106
% 6.11/1.70 % (13371)Time elapsed: 0.035 s
% 6.11/1.70 % (13371)Instructions burned: 79 (million)
% 6.11/1.70 % (13371)------------------------------
% 6.11/1.70 % (13371)------------------------------
% 6.11/1.70 % (13386)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/35Mi)
% 6.11/1.70 % (13387)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/377Mi)
% 6.11/1.71 % (13388)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/300Mi)
% 6.11/1.71 % (13374)Instruction limit reached!
% 6.11/1.71 % (13374)------------------------------
% 6.11/1.71 % (13374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.71 % (13374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.71 % (13374)Termination reason: Unknown
% 6.11/1.71 % (13374)Termination phase: Preprocessing 1
% 6.11/1.71
% 6.11/1.71 % (13374)Memory used [KB]: 11385
% 6.11/1.71 % (13374)Time elapsed: 0.023 s
% 6.11/1.71 % (13374)Instructions burned: 36 (million)
% 6.11/1.71 % (13374)------------------------------
% 6.11/1.71 % (13374)------------------------------
% 6.11/1.71 % (13389)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/45Mi)
% 6.11/1.72 % (13378)Instruction limit reached!
% 6.11/1.72 % (13378)------------------------------
% 6.11/1.72 % (13378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.72 % (13378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.72 % (13378)Termination reason: Unknown
% 6.11/1.72 % (13378)Termination phase: SInE selection
% 6.11/1.72
% 6.11/1.72 % (13378)Memory used [KB]: 10106
% 6.11/1.72 % (13378)Time elapsed: 0.015 s
% 6.11/1.72 % (13378)Instructions burned: 23 (million)
% 6.11/1.72 % (13378)------------------------------
% 6.11/1.72 % (13378)------------------------------
% 6.11/1.74 % (13390)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/23Mi)
% 6.11/1.76 % (13386)Instruction limit reached!
% 6.11/1.76 % (13386)------------------------------
% 6.11/1.76 % (13386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.76 % (13386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.76 % (13386)Termination reason: Unknown
% 6.11/1.76 % (13386)Termination phase: SInE selection
% 6.11/1.76
% 6.11/1.76 % (13386)Memory used [KB]: 10106
% 6.11/1.76 % (13386)Time elapsed: 0.020 s
% 6.11/1.76 % (13386)Instructions burned: 37 (million)
% 6.11/1.76 % (13386)------------------------------
% 6.11/1.76 % (13386)------------------------------
% 6.11/1.76 % (13373)Instruction limit reached!
% 6.11/1.76 % (13373)------------------------------
% 6.11/1.76 % (13373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.76 % (13373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.76 % (13373)Termination reason: Unknown
% 6.11/1.76 % (13373)Termination phase: SInE selection
% 6.11/1.76
% 6.11/1.76 % (13373)Memory used [KB]: 10234
% 6.11/1.76 % (13373)Time elapsed: 0.051 s
% 6.11/1.76 % (13373)Instructions burned: 119 (million)
% 6.11/1.76 % (13373)------------------------------
% 6.11/1.76 % (13373)------------------------------
% 6.11/1.77 % (13389)Instruction limit reached!
% 6.11/1.77 % (13389)------------------------------
% 6.11/1.77 % (13389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.77 % (13389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.77 % (13389)Termination reason: Unknown
% 6.11/1.77 % (13389)Termination phase: SInE selection
% 6.11/1.77
% 6.11/1.77 % (13389)Memory used [KB]: 10106
% 6.11/1.77 % (13389)Time elapsed: 0.064 s
% 6.11/1.77 % (13389)Instructions burned: 45 (million)
% 6.11/1.77 % (13389)------------------------------
% 6.11/1.77 % (13389)------------------------------
% 6.11/1.77 % (13391)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/136Mi)
% 6.11/1.77 % (13390)Instruction limit reached!
% 6.11/1.77 % (13390)------------------------------
% 6.11/1.77 % (13390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.77 % (13390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.77 % (13390)Termination reason: Unknown
% 6.11/1.77 % (13390)Termination phase: Preprocessing 1
% 6.11/1.77
% 6.11/1.77 % (13390)Memory used [KB]: 10874
% 6.11/1.77 % (13390)Time elapsed: 0.015 s
% 6.11/1.77 % (13390)Instructions burned: 23 (million)
% 6.11/1.77 % (13390)------------------------------
% 6.11/1.77 % (13390)------------------------------
% 6.11/1.77 % (13357)Instruction limit reached!
% 6.11/1.77 % (13357)------------------------------
% 6.11/1.77 % (13357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.77 % (13357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.77 % (13357)Termination reason: Unknown
% 6.11/1.77 % (13357)Termination phase: Naming
% 6.11/1.77
% 6.11/1.77 % (13357)Memory used [KB]: 13304
% 6.11/1.77 % (13357)Time elapsed: 0.109 s
% 6.11/1.77 % (13357)Instructions burned: 237 (million)
% 6.11/1.77 % (13357)------------------------------
% 6.11/1.77 % (13357)------------------------------
% 6.77/1.78 % (13368)Instruction limit reached!
% 6.77/1.78 % (13368)------------------------------
% 6.77/1.78 % (13368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.77/1.78 % (13368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.77/1.78 % (13368)Termination reason: Unknown
% 6.77/1.78 % (13368)Termination phase: Property scanning
% 6.77/1.78
% 6.77/1.78 % (13368)Memory used [KB]: 13944
% 6.77/1.78 % (13368)Time elapsed: 0.093 s
% 6.77/1.78 % (13368)Instructions burned: 223 (million)
% 6.77/1.78 % (13368)------------------------------
% 6.77/1.78 % (13368)------------------------------
% 6.77/1.78 % (13375)Instruction limit reached!
% 6.77/1.78 % (13375)------------------------------
% 6.77/1.78 % (13375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.77/1.78 % (13375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.77/1.78 % (13375)Termination reason: Unknown
% 6.77/1.78 % (13375)Termination phase: Preprocessing 1
% 6.77/1.78
% 6.77/1.78 % (13375)Memory used [KB]: 16630
% 6.77/1.78 % (13375)Time elapsed: 0.056 s
% 6.77/1.78 % (13375)Instructions burned: 115 (million)
% 6.77/1.78 % (13375)------------------------------
% 6.77/1.78 % (13375)------------------------------
% 6.77/1.79 % (13392)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/91Mi)
% 6.86/1.81 % (13393)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/102Mi)
% 7.00/1.84 % (13394)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/234Mi)
% 7.00/1.84 % (13395)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/246Mi)
% 7.00/1.86 % (13396)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/290Mi)
% 7.00/1.88 % (13356)Instruction limit reached!
% 7.00/1.88 % (13356)------------------------------
% 7.00/1.88 % (13356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.88 % (13356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.88 % (13356)Termination reason: Unknown
% 7.00/1.88 % (13356)Termination phase: Saturation
% 7.00/1.88
% 7.00/1.88 % (13356)Memory used [KB]: 17782
% 7.00/1.88 % (13356)Time elapsed: 0.570 s
% 7.00/1.88 % (13356)Instructions burned: 342 (million)
% 7.00/1.88 % (13356)------------------------------
% 7.00/1.88 % (13356)------------------------------
% 7.00/1.89 % (13385)Instruction limit reached!
% 7.00/1.89 % (13385)------------------------------
% 7.00/1.89 % (13385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.89 % (13385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.89 % (13385)Termination reason: Unknown
% 7.00/1.89 % (13385)Termination phase: SInE selection
% 7.00/1.89
% 7.00/1.89 % (13385)Memory used [KB]: 10106
% 7.00/1.89 % (13385)Time elapsed: 0.065 s
% 7.00/1.89 % (13385)Instructions burned: 150 (million)
% 7.00/1.89 % (13385)------------------------------
% 7.00/1.89 % (13385)------------------------------
% 7.00/1.89 % (13399)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/126Mi)
% 7.00/1.90 % (13397)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/68Mi)
% 7.45/1.90 % (13401)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/139Mi)
% 7.45/1.91 % (13400)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/997Mi)
% 7.45/1.91 % (13403)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/92Mi)
% 7.45/1.91 % (13398)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/248Mi)
% 7.45/1.92 % (13402)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/121Mi)
% 7.45/1.92 % (13369)Instruction limit reached!
% 7.45/1.92 % (13369)------------------------------
% 7.45/1.92 % (13369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/1.92 % (13369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/1.92 % (13369)Termination reason: Unknown
% 7.45/1.92 % (13369)Termination phase: Preprocessing 3
% 7.45/1.92
% 7.45/1.92 % (13369)Memory used [KB]: 20724
% 7.45/1.92 % (13369)Time elapsed: 0.107 s
% 7.45/1.92 % (13369)Instructions burned: 222 (million)
% 7.45/1.92 % (13369)------------------------------
% 7.45/1.92 % (13369)------------------------------
% 7.45/1.95 % (13392)Instruction limit reached!
% 7.45/1.95 % (13392)------------------------------
% 7.45/1.95 % (13392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/1.95 % (13392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/1.95 % (13392)Termination reason: Unknown
% 7.45/1.95 % (13392)Termination phase: Preprocessing 1
% 7.45/1.95
% 7.45/1.95 % (13392)Memory used [KB]: 15735
% 7.45/1.95 % (13392)Time elapsed: 0.047 s
% 7.45/1.95 % (13392)Instructions burned: 92 (million)
% 7.45/1.95 % (13392)------------------------------
% 7.45/1.95 % (13392)------------------------------
% 7.79/1.98 % (13393)Instruction limit reached!
% 7.79/1.98 % (13393)------------------------------
% 7.79/1.98 % (13393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.98 % (13393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.98 % (13393)Termination reason: Unknown
% 7.79/1.98 % (13393)Termination phase: Preprocessing 1
% 7.79/1.98
% 7.79/1.98 % (13393)Memory used [KB]: 16247
% 7.79/1.98 % (13393)Time elapsed: 0.052 s
% 7.79/1.98 % (13393)Instructions burned: 103 (million)
% 7.79/1.98 % (13393)------------------------------
% 7.79/1.98 % (13393)------------------------------
% 7.79/1.99 % (13391)Instruction limit reached!
% 7.79/1.99 % (13391)------------------------------
% 7.79/1.99 % (13391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.99 % (13391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.99 % (13391)Termination reason: Unknown
% 7.79/1.99 % (13391)Termination phase: Preprocessing 1
% 7.79/1.99
% 7.79/1.99 % (13391)Memory used [KB]: 17526
% 7.79/1.99 % (13391)Time elapsed: 0.065 s
% 7.79/1.99 % (13391)Instructions burned: 137 (million)
% 7.79/1.99 % (13391)------------------------------
% 7.79/1.99 % (13391)------------------------------
% 7.79/2.01 % (13397)Instruction limit reached!
% 7.79/2.01 % (13397)------------------------------
% 7.79/2.01 % (13397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/2.01 % (13397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/2.01 % (13397)Termination reason: Unknown
% 7.79/2.01 % (13397)Termination phase: SInE selection
% 7.79/2.01
% 7.79/2.01 % (13397)Memory used [KB]: 10106
% 7.79/2.01 % (13397)Time elapsed: 0.034 s
% 7.79/2.01 % (13397)Instructions burned: 69 (million)
% 7.79/2.01 % (13397)------------------------------
% 7.79/2.01 % (13397)------------------------------
% 7.79/2.02 % (13364)Instruction limit reached!
% 7.79/2.02 % (13364)------------------------------
% 7.79/2.02 % (13364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/2.02 % (13364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/2.02 % (13364)Termination reason: Unknown
% 7.79/2.02 % (13364)Termination phase: Property scanning
% 7.79/2.02
% 7.79/2.02 % (13364)Memory used [KB]: 17910
% 7.79/2.02 % (13364)Time elapsed: 0.157 s
% 7.79/2.02 % (13364)Instructions burned: 393 (million)
% 7.79/2.02 % (13364)------------------------------
% 7.79/2.02 % (13364)------------------------------
% 7.79/2.02 % (13404)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/43Mi)
% 7.79/2.03 % (13405)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/50Mi)
% 7.79/2.05 % (13406)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/9Mi)
% 7.79/2.05 % (13399)Instruction limit reached!
% 7.79/2.05 % (13399)------------------------------
% 7.79/2.05 % (13399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/2.05 % (13399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/2.05 % (13399)Termination reason: Unknown
% 7.79/2.05 % (13399)Termination phase: Preprocessing 1
% 7.79/2.05
% 7.79/2.05 % (13399)Memory used [KB]: 10490
% 7.79/2.05 % (13399)Time elapsed: 0.151 s
% 7.79/2.05 % (13399)Instructions burned: 126 (million)
% 7.79/2.05 % (13399)------------------------------
% 7.79/2.05 % (13399)------------------------------
% 7.79/2.07 % (13403)Instruction limit reached!
% 7.79/2.07 % (13403)------------------------------
% 7.79/2.07 % (13403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/2.07 % (13403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/2.07 % (13403)Termination reason: Unknown
% 7.79/2.07 % (13403)Termination phase: Preprocessing 1
% 7.79/2.07
% 7.79/2.07 % (13403)Memory used [KB]: 15735
% 7.79/2.07 % (13403)Time elapsed: 0.046 s
% 7.79/2.07 % (13403)Instructions burned: 92 (million)
% 7.79/2.07 % (13403)------------------------------
% 7.79/2.07 % (13403)------------------------------
% 8.49/2.08 % (13406)Instruction limit reached!
% 8.49/2.08 % (13406)------------------------------
% 8.49/2.08 % (13406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.49/2.08 % (13406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.49/2.08 % (13406)Termination reason: Unknown
% 8.49/2.08 % (13406)Termination phase: Preprocessing 1
% 8.49/2.08
% 8.49/2.08 % (13406)Memory used [KB]: 10234
% 8.49/2.08 % (13406)Time elapsed: 0.010 s
% 8.49/2.08 % (13406)Instructions burned: 10 (million)
% 8.49/2.08 % (13406)------------------------------
% 8.49/2.08 % (13406)------------------------------
% 8.49/2.08 % (13402)Instruction limit reached!
% 8.49/2.08 % (13402)------------------------------
% 8.49/2.08 % (13402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.49/2.08 % (13402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.49/2.08 % (13402)Termination reason: Unknown
% 8.49/2.08 % (13402)Termination phase: Preprocessing 1
% 8.49/2.08
% 8.49/2.08 % (13402)Memory used [KB]: 10746
% 8.49/2.08 % (13402)Time elapsed: 0.053 s
% 8.49/2.08 % (13402)Instructions burned: 122 (million)
% 8.49/2.08 % (13402)------------------------------
% 8.49/2.08 % (13402)------------------------------
% 8.49/2.09 % (13407)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/915Mi)
% 8.68/2.10 % (13401)Instruction limit reached!
% 8.68/2.10 % (13401)------------------------------
% 8.68/2.10 % (13401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/2.10 % (13401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/2.10 % (13401)Termination reason: Unknown
% 8.68/2.10 % (13401)Termination phase: SInE selection
% 8.68/2.10
% 8.68/2.10 % (13401)Memory used [KB]: 10106
% 8.68/2.10 % (13401)Time elapsed: 0.060 s
% 8.68/2.10 % (13401)Instructions burned: 139 (million)
% 8.68/2.10 % (13401)------------------------------
% 8.68/2.10 % (13401)------------------------------
% 8.68/2.10 % (13377)Instruction limit reached!
% 8.68/2.10 % (13377)------------------------------
% 8.68/2.10 % (13377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/2.10 % (13377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/2.10 % (13377)Termination reason: Unknown
% 8.68/2.10 % (13377)Termination phase: General splitting
% 8.68/2.10
% 8.68/2.10 % (13377)Memory used [KB]: 13816
% 8.68/2.10 % (13377)Time elapsed: 0.140 s
% 8.68/2.10 % (13377)Instructions burned: 392 (million)
% 8.68/2.10 % (13377)------------------------------
% 8.68/2.10 % (13377)------------------------------
% 8.68/2.10 % (13404)Instruction limit reached!
% 8.68/2.10 % (13404)------------------------------
% 8.68/2.10 % (13404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/2.10 % (13404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/2.10 % (13404)Termination reason: Unknown
% 8.68/2.10 % (13404)Termination phase: SInE selection
% 8.68/2.10
% 8.68/2.10 % (13404)Memory used [KB]: 10106
% 8.68/2.10 % (13404)Time elapsed: 0.023 s
% 8.68/2.10 % (13404)Instructions burned: 45 (million)
% 8.68/2.10 % (13404)------------------------------
% 8.68/2.10 % (13404)------------------------------
% 8.68/2.11 % (13383)Instruction limit reached!
% 8.68/2.11 % (13383)------------------------------
% 8.68/2.11 % (13383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/2.11 % (13383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/2.11 % (13383)Termination reason: Unknown
% 8.68/2.11 % (13383)Termination phase: Preprocessing 3
% 8.68/2.11
% 8.68/2.11 % (13405)Instruction limit reached!
% 8.68/2.11 % (13405)------------------------------
% 8.68/2.11 % (13405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/2.11 % (13383)Memory used [KB]: 21875
% 8.68/2.11 % (13405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/2.11 % (13383)Time elapsed: 0.133 s
% 8.68/2.11 % (13405)Termination reason: Unknown
% 8.68/2.11 % (13383)Instructions burned: 288 (million)
% 8.68/2.11 % (13405)Termination phase: Preprocessing 1
% 8.68/2.11 % (13383)------------------------------
% 8.68/2.11 % (13383)------------------------------
% 8.68/2.11
% 8.68/2.11 % (13405)Memory used [KB]: 11897
% 8.68/2.11 % (13405)Time elapsed: 0.026 s
% 8.68/2.11 % (13405)Instructions burned: 50 (million)
% 8.68/2.11 % (13405)------------------------------
% 8.68/2.11 % (13405)------------------------------
% 8.95/2.12 % (13409)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/206Mi)
% 8.95/2.13 % (13408)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/437Mi)
% 8.95/2.14 % (13410)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1287Mi)
% 8.95/2.16 % (13411)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1501Mi)
% 8.95/2.17 % (13372)Instruction limit reached!
% 8.95/2.17 % (13372)------------------------------
% 8.95/2.17 % (13372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.17 % (13372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.17 % (13372)Termination reason: Unknown
% 8.95/2.17 % (13372)Termination phase: Preprocessing 3
% 8.95/2.17
% 8.95/2.17 % (13372)Memory used [KB]: 23539
% 8.95/2.17 % (13372)Time elapsed: 0.165 s
% 8.95/2.17 % (13372)Instructions burned: 379 (million)
% 8.95/2.17 % (13372)------------------------------
% 8.95/2.17 % (13372)------------------------------
% 8.95/2.18 % (13412)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/32Mi)
% 8.95/2.19 % (13379)Instruction limit reached!
% 8.95/2.19 % (13379)------------------------------
% 8.95/2.19 % (13379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.19 % (13379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.19 % (13379)Termination reason: Unknown
% 8.95/2.19 % (13379)Termination phase: Preprocessing 3
% 8.95/2.19
% 8.95/2.19 % (13379)Memory used [KB]: 21620
% 8.95/2.19 % (13379)Time elapsed: 0.161 s
% 8.95/2.19 % (13379)Instructions burned: 358 (million)
% 8.95/2.19 % (13379)------------------------------
% 8.95/2.19 % (13379)------------------------------
% 8.95/2.19 % (13388)Instruction limit reached!
% 8.95/2.19 % (13388)------------------------------
% 8.95/2.19 % (13388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.19 % (13388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.19 % (13388)Termination reason: Unknown
% 8.95/2.19 % (13388)Termination phase: Preprocessing 3
% 8.95/2.19
% 8.95/2.19 % (13388)Memory used [KB]: 22131
% 8.95/2.19 % (13388)Time elapsed: 0.136 s
% 8.95/2.19 % (13388)Instructions burned: 301 (million)
% 8.95/2.19 % (13388)------------------------------
% 8.95/2.19 % (13388)------------------------------
% 8.95/2.20 % (13365)Instruction limit reached!
% 8.95/2.20 % (13365)------------------------------
% 8.95/2.20 % (13365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.20 % (13365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.20 % (13365)Termination reason: Unknown
% 8.95/2.20 % (13365)Termination phase: Preprocessing 3
% 8.95/2.20
% 8.95/2.20 % (13365)Memory used [KB]: 22643
% 8.95/2.20 % (13365)Time elapsed: 0.202 s
% 8.95/2.20 % (13365)Instructions burned: 488 (million)
% 8.95/2.20 % (13365)------------------------------
% 8.95/2.20 % (13365)------------------------------
% 8.95/2.20 % (13413)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/117Mi)
% 8.95/2.20 % (13380)Instruction limit reached!
% 8.95/2.20 % (13380)------------------------------
% 8.95/2.20 % (13380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.20 % (13380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.20 % (13380)Termination reason: Unknown
% 8.95/2.20 % (13380)Termination phase: Preprocessing 3
% 8.95/2.20
% 8.95/2.20 % (13380)Memory used [KB]: 23411
% 8.95/2.20 % (13380)Time elapsed: 0.163 s
% 8.95/2.20 % (13380)Instructions burned: 366 (million)
% 8.95/2.20 % (13380)------------------------------
% 8.95/2.20 % (13380)------------------------------
% 8.95/2.21 % (13395)Instruction limit reached!
% 8.95/2.21 % (13395)------------------------------
% 8.95/2.21 % (13395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.95/2.21 % (13395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.95/2.21 % (13395)Termination reason: Unknown
% 8.95/2.21 % (13395)Termination phase: Preprocessing 3
% 8.95/2.21
% 8.95/2.21 % (13395)Memory used [KB]: 17654
% 8.95/2.21 % (13395)Time elapsed: 0.109 s
% 8.95/2.21 % (13395)Instructions burned: 247 (million)
% 8.95/2.21 % (13395)------------------------------
% 8.95/2.21 % (13395)------------------------------
% 10.27/2.21 % (13359)Instruction limit reached!
% 10.27/2.21 % (13359)------------------------------
% 10.27/2.21 % (13359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/2.21 % (13359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/2.21 % (13359)Termination reason: Unknown
% 10.27/2.21 % (13359)Termination phase: Saturation
% 10.27/2.21
% 10.27/2.21 % (13359)Memory used [KB]: 19957
% 10.27/2.21 % (13359)Time elapsed: 0.879 s
% 10.27/2.21 % (13359)Instructions burned: 474 (million)
% 10.27/2.21 % (13359)------------------------------
% 10.27/2.21 % (13359)------------------------------
% 10.27/2.22 % (13394)Instruction limit reached!
% 10.27/2.22 % (13394)------------------------------
% 10.27/2.22 % (13394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/2.22 % (13394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/2.22 % (13394)Termination reason: Unknown
% 10.27/2.22 % (13394)Termination phase: Preprocessing 3
% 10.27/2.22
% 10.27/2.22 % (13394)Memory used [KB]: 20724
% 10.27/2.22 % (13394)Time elapsed: 0.114 s
% 10.27/2.22 % (13394)Instructions burned: 236 (million)
% 10.27/2.22 % (13394)------------------------------
% 10.27/2.22 % (13394)------------------------------
% 10.27/2.22 % (13417)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/92Mi)
% 10.27/2.23 % (13418)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/80Mi)
% 10.27/2.23 % (13414)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/283Mi)
% 10.27/2.23 % (13415)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/115Mi)
% 10.27/2.24 % (13416)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/93Mi)
% 10.27/2.24 % (13419)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/251Mi)
% 10.27/2.25 % (13420)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/94Mi)
% 10.27/2.27 % (13412)Instruction limit reached!
% 10.27/2.27 % (13412)------------------------------
% 10.27/2.27 % (13412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/2.27 % (13412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/2.27 % (13412)Termination reason: Unknown
% 10.27/2.27 % (13412)Termination phase: Preprocessing 1
% 10.27/2.27
% 10.27/2.27 % (13412)Memory used [KB]: 11385
% 10.27/2.27 % (13412)Time elapsed: 0.021 s
% 10.27/2.27 % (13412)Instructions burned: 33 (million)
% 10.27/2.27 % (13412)------------------------------
% 10.27/2.27 % (13412)------------------------------
% 10.27/2.28 % (13387)Instruction limit reached!
% 10.27/2.28 % (13387)------------------------------
% 10.27/2.28 % (13387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/2.28 % (13387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/2.28 % (13387)Termination reason: Unknown
% 10.27/2.28 % (13387)Termination phase: NewCNF
% 10.27/2.28
% 10.27/2.28 % (13387)Memory used [KB]: 22387
% 10.27/2.28 % (13387)Time elapsed: 0.167 s
% 10.27/2.28 % (13387)Instructions burned: 377 (million)
% 10.27/2.28 % (13387)------------------------------
% 10.27/2.28 % (13387)------------------------------
% 10.27/2.29 % (13381)Instruction limit reached!
% 10.27/2.29 % (13381)------------------------------
% 10.27/2.29 % (13381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/2.29 % (13381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/2.29 % (13381)Termination reason: Unknown
% 10.27/2.29 % (13381)Termination phase: Preprocessing 3
% 10.27/2.29
% 10.27/2.29 % (13381)Memory used [KB]: 22643
% 10.27/2.29 % (13381)Time elapsed: 0.190 s
% 10.27/2.29 % (13381)Instructions burned: 424 (million)
% 10.27/2.29 % (13381)------------------------------
% 10.27/2.29 % (13381)------------------------------
% 10.83/2.29 % (13398)Instruction limit reached!
% 10.83/2.29 % (13398)------------------------------
% 10.83/2.29 % (13398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.29 % (13398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.29 % (13398)Termination reason: Unknown
% 10.83/2.29 % (13398)Termination phase: Preprocessing 3
% 10.83/2.29
% 10.83/2.29 % (13398)Memory used [KB]: 13304
% 10.83/2.29 % (13398)Time elapsed: 0.111 s
% 10.83/2.29 % (13398)Instructions burned: 248 (million)
% 10.83/2.29 % (13398)------------------------------
% 10.83/2.29 % (13398)------------------------------
% 10.83/2.31 % (13421)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/285Mi)
% 10.83/2.31 % (13396)Instruction limit reached!
% 10.83/2.31 % (13396)------------------------------
% 10.83/2.31 % (13396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.31 % (13396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.31 % (13396)Termination reason: Unknown
% 10.83/2.31 % (13396)Termination phase: shuffling
% 10.83/2.31
% 10.83/2.31 % (13396)Memory used [KB]: 18677
% 10.83/2.31 % (13396)Time elapsed: 0.128 s
% 10.83/2.31 % (13396)Instructions burned: 291 (million)
% 10.83/2.31 % (13396)------------------------------
% 10.83/2.31 % (13396)------------------------------
% 10.83/2.33 % (13425)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1488Mi)
% 10.83/2.33 % (13423)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/73Mi)
% 10.83/2.34 % (13424)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/106Mi)
% 10.83/2.34 % (13422)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1486Mi)
% 10.83/2.34 % (13426)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/103Mi)
% 10.83/2.35 % (13427)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/376Mi)
% 10.83/2.35 % (13428)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1345Mi)
% 10.83/2.36 % (13418)Instruction limit reached!
% 10.83/2.36 % (13418)------------------------------
% 10.83/2.36 % (13418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.36 % (13418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.36 % (13418)Termination reason: Unknown
% 10.83/2.36 % (13418)Termination phase: SInE selection
% 10.83/2.36
% 10.83/2.36 % (13418)Memory used [KB]: 10106
% 10.83/2.36 % (13418)Time elapsed: 0.036 s
% 10.83/2.36 % (13418)Instructions burned: 81 (million)
% 10.83/2.36 % (13418)------------------------------
% 10.83/2.36 % (13418)------------------------------
% 10.83/2.37 % (13413)Instruction limit reached!
% 10.83/2.37 % (13413)------------------------------
% 10.83/2.37 % (13413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.37 % (13413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.37 % (13413)Termination reason: Unknown
% 10.83/2.37 % (13413)Termination phase: Preprocessing 1
% 10.83/2.37
% 10.83/2.37 % (13413)Memory used [KB]: 16886
% 10.83/2.37 % (13413)Time elapsed: 0.057 s
% 10.83/2.37 % (13413)Instructions burned: 117 (million)
% 10.83/2.37 % (13413)------------------------------
% 10.83/2.37 % (13413)------------------------------
% 10.83/2.38 % (13417)Instruction limit reached!
% 10.83/2.38 % (13417)------------------------------
% 10.83/2.38 % (13417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.38 % (13417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.38 % (13417)Termination reason: Unknown
% 10.83/2.38 % (13417)Termination phase: Preprocessing 1
% 10.83/2.38
% 10.83/2.38 % (13417)Memory used [KB]: 15991
% 10.83/2.38 % (13417)Time elapsed: 0.047 s
% 10.83/2.38 % (13417)Instructions burned: 93 (million)
% 10.83/2.38 % (13417)------------------------------
% 10.83/2.38 % (13417)------------------------------
% 10.83/2.38 % (13415)Instruction limit reached!
% 10.83/2.38 % (13415)------------------------------
% 10.83/2.38 % (13415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.83/2.38 % (13415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.83/2.38 % (13415)Termination reason: Unknown
% 10.83/2.38 % (13415)Termination phase: Preprocessing 1
% 10.83/2.38
% 10.83/2.38 % (13415)Memory used [KB]: 16886
% 10.83/2.38 % (13415)Time elapsed: 0.057 s
% 10.83/2.38 % (13415)Instructions burned: 116 (million)
% 10.83/2.38 % (13415)------------------------------
% 10.83/2.38 % (13415)------------------------------
% 11.48/2.39 % (13429)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/134Mi)
% 11.52/2.40 % (13416)Instruction limit reached!
% 11.52/2.40 % (13416)------------------------------
% 11.52/2.40 % (13416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.52/2.40 % (13416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.52/2.40 % (13416)Termination reason: Unknown
% 11.52/2.40 % (13416)Termination phase: Preprocessing 1
% 11.52/2.40
% 11.52/2.40 % (13416)Memory used [KB]: 11001
% 11.52/2.40 % (13416)Time elapsed: 0.046 s
% 11.52/2.40 % (13416)Instructions burned: 95 (million)
% 11.52/2.40 % (13416)------------------------------
% 11.52/2.40 % (13416)------------------------------
% 11.52/2.40 % (13420)Instruction limit reached!
% 11.52/2.40 % (13420)------------------------------
% 11.52/2.40 % (13420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.52/2.40 % (13420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.52/2.40 % (13420)Termination reason: Unknown
% 11.52/2.40 % (13420)Termination phase: Preprocessing 1
% 11.52/2.40
% 11.52/2.40 % (13420)Memory used [KB]: 15735
% 11.52/2.40 % (13420)Time elapsed: 0.047 s
% 11.52/2.40 % (13420)Instructions burned: 94 (million)
% 11.52/2.40 % (13420)------------------------------
% 11.52/2.40 % (13420)------------------------------
% 11.58/2.42 % (13409)Instruction limit reached!
% 11.58/2.42 % (13409)------------------------------
% 11.58/2.42 % (13409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.58/2.42 % (13409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.58/2.42 % (13409)Termination reason: Unknown
% 11.58/2.42 % (13409)Termination phase: Preprocessing 1
% 11.58/2.42
% 11.58/2.42 % (13409)Memory used [KB]: 13048
% 11.58/2.42 % (13409)Time elapsed: 0.086 s
% 11.58/2.42 % (13409)Instructions burned: 206 (million)
% 11.58/2.42 % (13409)------------------------------
% 11.58/2.42 % (13409)------------------------------
% 11.58/2.43 % (13430)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1498Mi)
% 11.58/2.43 % (13431)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/177Mi)
% 11.58/2.44 % (13423)Instruction limit reached!
% 11.58/2.44 % (13423)------------------------------
% 11.58/2.44 % (13423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.58/2.44 % (13423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.58/2.44 % (13423)Termination reason: Unknown
% 11.58/2.44 % (13423)Termination phase: SInE selection
% 11.58/2.44
% 11.58/2.44 % (13423)Memory used [KB]: 10106
% 11.58/2.44 % (13423)Time elapsed: 0.035 s
% 11.58/2.44 % (13423)Instructions burned: 73 (million)
% 11.58/2.44 % (13423)------------------------------
% 11.58/2.44 % (13423)------------------------------
% 11.58/2.44 % (13432)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/82Mi)
% 11.58/2.45 % (13433)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/274Mi)
% 11.58/2.49 % (13435)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/669Mi)
% 11.58/2.50 % (13434)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/176Mi)
% 11.98/2.50 % (13426)Instruction limit reached!
% 11.98/2.50 % (13426)------------------------------
% 11.98/2.50 % (13426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.98/2.50 % (13426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.98/2.50 % (13426)Termination reason: Unknown
% 11.98/2.50 % (13426)Termination phase: SInE selection
% 11.98/2.50
% 11.98/2.50 % (13426)Memory used [KB]: 10234
% 11.98/2.50 % (13426)Time elapsed: 0.044 s
% 11.98/2.50 % (13426)Instructions burned: 104 (million)
% 11.98/2.50 % (13426)------------------------------
% 11.98/2.50 % (13426)------------------------------
% 11.98/2.51 % (13436)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/156Mi)
% 11.98/2.53 % (13424)Instruction limit reached!
% 11.98/2.53 % (13424)------------------------------
% 11.98/2.53 % (13424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.98/2.53 % (13424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.98/2.53 % (13424)Termination reason: Unknown
% 11.98/2.53 % (13424)Termination phase: Preprocessing 1
% 11.98/2.53
% 11.98/2.53 % (13424)Memory used [KB]: 11001
% 11.98/2.53 % (13424)Time elapsed: 0.050 s
% 11.98/2.53 % (13424)Instructions burned: 106 (million)
% 11.98/2.53 % (13424)------------------------------
% 11.98/2.53 % (13424)------------------------------
% 11.98/2.53 % (13439)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/432Mi)
% 11.98/2.54 % (13437)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/1735Mi)
% 11.98/2.55 % (13429)Instruction limit reached!
% 11.98/2.55 % (13429)------------------------------
% 11.98/2.55 % (13429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.98/2.55 % (13429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.98/2.55 % (13429)Termination reason: Unknown
% 11.98/2.55 % (13429)Termination phase: SInE selection
% 11.98/2.55
% 11.98/2.55 % (13429)Memory used [KB]: 10106
% 11.98/2.55 % (13429)Time elapsed: 0.058 s
% 11.98/2.55 % (13429)Instructions burned: 136 (million)
% 11.98/2.55 % (13429)------------------------------
% 11.98/2.55 % (13429)------------------------------
% 11.98/2.55 % (13440)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/440Mi)
% 11.98/2.56 % (13438)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/2681Mi)
% 11.98/2.57 % (13441)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/3303Mi)
% 12.47/2.60 % (13432)Instruction limit reached!
% 12.47/2.60 % (13432)------------------------------
% 12.47/2.60 % (13432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.47/2.60 % (13432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.47/2.60 % (13432)Termination reason: Unknown
% 12.47/2.60 % (13432)Termination phase: Preprocessing 1
% 12.47/2.60
% 12.47/2.60 % (13432)Memory used [KB]: 15479
% 12.47/2.60 % (13432)Time elapsed: 0.042 s
% 12.47/2.60 % (13432)Instructions burned: 83 (million)
% 12.47/2.60 % (13432)------------------------------
% 12.47/2.60 % (13432)------------------------------
% 12.47/2.62 % (13419)Instruction limit reached!
% 12.47/2.62 % (13419)------------------------------
% 12.47/2.62 % (13419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.47/2.62 % (13419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.47/2.62 % (13419)Termination reason: Unknown
% 12.47/2.62 % (13419)Termination phase: Preprocessing 3
% 12.47/2.62
% 12.47/2.62 % (13419)Memory used [KB]: 21108
% 12.47/2.62 % (13419)Time elapsed: 0.116 s
% 12.47/2.62 % (13419)Instructions burned: 252 (million)
% 12.47/2.62 % (13419)------------------------------
% 12.47/2.62 % (13419)------------------------------
% 12.47/2.64 % (13442)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/503Mi)
% 12.47/2.66 % (13408)Instruction limit reached!
% 12.47/2.66 % (13408)------------------------------
% 12.47/2.66 % (13408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.47/2.66 % (13408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.47/2.66 % (13408)Termination reason: Unknown
% 12.47/2.66 % (13408)Termination phase: Property scanning
% 12.47/2.66
% 12.47/2.66 % (13408)Memory used [KB]: 19061
% 12.47/2.66 % (13408)Time elapsed: 0.459 s
% 12.47/2.66 % (13408)Instructions burned: 437 (million)
% 12.47/2.66 % (13408)------------------------------
% 12.47/2.66 % (13408)------------------------------
% 12.47/2.67 % (13414)Instruction limit reached!
% 12.47/2.67 % (13414)------------------------------
% 12.47/2.67 % (13414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.47/2.67 % (13414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.47/2.67 % (13414)Termination reason: Unknown
% 12.47/2.67 % (13414)Termination phase: Preprocessing 3
% 12.47/2.67
% 12.47/2.67 % (13414)Memory used [KB]: 21875
% 12.47/2.67 % (13414)Time elapsed: 0.131 s
% 12.47/2.67 % (13414)Instructions burned: 283 (million)
% 12.47/2.67 % (13414)------------------------------
% 12.47/2.67 % (13414)------------------------------
% 12.47/2.67 % (13443)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/236Mi)
% 12.47/2.68 % (13444)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/128Mi)
% 14.23/2.74 % (13436)Instruction limit reached!
% 14.23/2.74 % (13436)------------------------------
% 14.23/2.74 % (13436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.74 % (13431)Instruction limit reached!
% 14.23/2.74 % (13431)------------------------------
% 14.23/2.74 % (13431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.74 % (13431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.74 % (13436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.74 % (13431)Termination reason: Unknown
% 14.23/2.74 % (13436)Termination reason: Unknown
% 14.23/2.74 % (13431)Termination phase: Naming
% 14.23/2.74
% 14.23/2.74 % (13436)Termination phase: Preprocessing 1
% 14.23/2.74
% 14.23/2.74 % (13431)Memory used [KB]: 20212
% 14.23/2.74 % (13436)Memory used [KB]: 12920
% 14.23/2.74 % (13431)Time elapsed: 0.091 s
% 14.23/2.74 % (13436)Time elapsed: 0.069 s
% 14.23/2.74 % (13431)Instructions burned: 178 (million)
% 14.23/2.74 % (13436)Instructions burned: 156 (million)
% 14.23/2.74 % (13431)------------------------------
% 14.23/2.74 % (13431)------------------------------
% 14.23/2.74 % (13436)------------------------------
% 14.23/2.74 % (13436)------------------------------
% 14.23/2.74 % (13434)Instruction limit reached!
% 14.23/2.74 % (13434)------------------------------
% 14.23/2.74 % (13434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.74 % (13434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.74 % (13434)Termination reason: Unknown
% 14.23/2.74 % (13434)Termination phase: Preprocessing 1
% 14.23/2.74
% 14.23/2.74 % (13434)Memory used [KB]: 11897
% 14.23/2.74 % (13434)Time elapsed: 0.075 s
% 14.23/2.74 % (13434)Instructions burned: 178 (million)
% 14.23/2.74 % (13434)------------------------------
% 14.23/2.74 % (13434)------------------------------
% 14.23/2.74 % (13382)Instruction limit reached!
% 14.23/2.74 % (13382)------------------------------
% 14.23/2.74 % (13382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.74 % (13382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.74 % (13382)Termination reason: Unknown
% 14.23/2.74 % (13382)Termination phase: Property scanning
% 14.23/2.74
% 14.23/2.74 % (13382)Memory used [KB]: 35180
% 14.23/2.74 % (13382)Time elapsed: 0.313 s
% 14.23/2.74 % (13382)Instructions burned: 756 (million)
% 14.23/2.74 % (13382)------------------------------
% 14.23/2.74 % (13382)------------------------------
% 14.23/2.75 % (13445)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/2543Mi)
% 14.23/2.77 % (13446)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/45Mi)
% 14.23/2.77 % (13421)Instruction limit reached!
% 14.23/2.77 % (13421)------------------------------
% 14.23/2.77 % (13421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.77 % (13421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.77 % (13421)Termination reason: Unknown
% 14.23/2.77 % (13421)Termination phase: Preprocessing 3
% 14.23/2.77
% 14.23/2.77 % (13421)Memory used [KB]: 21875
% 14.23/2.77 % (13421)Time elapsed: 0.130 s
% 14.23/2.77 % (13421)Instructions burned: 285 (million)
% 14.23/2.77 % (13421)------------------------------
% 14.23/2.77 % (13421)------------------------------
% 15.01/2.81 % (13433)Instruction limit reached!
% 15.01/2.81 % (13433)------------------------------
% 15.01/2.81 % (13433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.01/2.82 % (13427)Instruction limit reached!
% 15.01/2.82 % (13427)------------------------------
% 15.01/2.82 % (13427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.01/2.82 % (13447)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/279Mi)
% 15.01/2.82 % (13433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.01/2.82 % (13433)Termination reason: Unknown
% 15.01/2.82 % (13433)Termination phase: Property scanning
% 15.01/2.82
% 15.01/2.82 % (13433)Memory used [KB]: 13688
% 15.01/2.82 % (13433)Time elapsed: 0.109 s
% 15.01/2.82 % (13433)Instructions burned: 274 (million)
% 15.01/2.82 % (13433)------------------------------
% 15.01/2.82 % (13433)------------------------------
% 15.01/2.84 % (13446)Instruction limit reached!
% 15.01/2.84 % (13446)------------------------------
% 15.01/2.84 % (13446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.01/2.84 % (13427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.01/2.84 % (13427)Termination reason: Unknown
% 15.01/2.84 % (13427)Termination phase: General splitting
% 15.01/2.84
% 15.01/2.84 % (13427)Memory used [KB]: 13304
% 15.01/2.84 % (13427)Time elapsed: 0.136 s
% 15.01/2.84 % (13427)Instructions burned: 377 (million)
% 15.01/2.84 % (13427)------------------------------
% 15.01/2.84 % (13427)------------------------------
% 15.01/2.85 % (13448)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/997Mi)
% 15.01/2.86 % (13446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.01/2.86 % (13446)Termination reason: Unknown
% 15.01/2.86 % (13446)Termination phase: SInE selection
% 15.01/2.86
% 15.01/2.86 % (13446)Memory used [KB]: 10106
% 15.01/2.86 % (13446)Time elapsed: 0.024 s
% 15.01/2.86 % (13446)Instructions burned: 45 (million)
% 15.01/2.86 % (13446)------------------------------
% 15.01/2.86 % (13446)------------------------------
% 15.01/2.87 % (13449)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/121Mi)
% 15.01/2.88 % (13450)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/53Mi)
% 15.01/2.89 % (13452)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/84Mi)
% 15.01/2.89 % (13453)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/162Mi)
% 15.01/2.89 % (13444)Instruction limit reached!
% 15.01/2.89 % (13444)------------------------------
% 15.01/2.89 % (13444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.01/2.90 % (13451)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/265Mi)
% 15.55/2.90 % (13444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.55/2.90 % (13444)Termination reason: Unknown
% 15.55/2.90 % (13444)Termination phase: Preprocessing 1
% 15.55/2.90
% 15.55/2.90 % (13444)Memory used [KB]: 11897
% 15.55/2.90 % (13444)Time elapsed: 0.063 s
% 15.55/2.90 % (13444)Instructions burned: 130 (million)
% 15.55/2.90 % (13444)------------------------------
% 15.55/2.90 % (13444)------------------------------
% 15.55/2.95 % (13454)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/1290Mi)
% 15.55/2.98 % (13384)Instruction limit reached!
% 15.55/2.98 % (13384)------------------------------
% 15.55/2.98 % (13384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.55/2.98 % (13384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.55/2.98 % (13384)Termination reason: Unknown
% 15.55/2.98 % (13384)Termination phase: Saturation
% 15.55/2.98
% 15.55/2.98 % (13384)Memory used [KB]: 31214
% 15.55/2.98 % (13384)Time elapsed: 1.327 s
% 15.55/2.98 % (13384)Instructions burned: 1000 (million)
% 15.55/2.98 % (13384)------------------------------
% 15.55/2.98 % (13384)------------------------------
% 15.55/2.98 % (13455)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/3040Mi)
% 16.10/2.99 % (13450)Instruction limit reached!
% 16.10/2.99 % (13450)------------------------------
% 16.10/2.99 % (13450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.10/2.99 % (13450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.10/2.99 % (13450)Termination reason: Unknown
% 16.10/2.99 % (13450)Termination phase: Preprocessing 1
% 16.10/2.99
% 16.10/2.99 % (13450)Memory used [KB]: 12153
% 16.10/2.99 % (13450)Time elapsed: 0.030 s
% 16.10/2.99 % (13450)Instructions burned: 54 (million)
% 16.10/2.99 % (13450)------------------------------
% 16.10/2.99 % (13450)------------------------------
% 16.10/3.01 % (13443)Instruction limit reached!
% 16.10/3.01 % (13443)------------------------------
% 16.10/3.01 % (13443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.10/3.01 % (13443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.10/3.01 % (13443)Termination reason: Unknown
% 16.10/3.01 % (13443)Termination phase: Preprocessing 3
% 16.10/3.01
% 16.10/3.01 % (13443)Memory used [KB]: 16886
% 16.10/3.01 % (13443)Time elapsed: 0.104 s
% 16.10/3.01 % (13443)Instructions burned: 238 (million)
% 16.10/3.01 % (13443)------------------------------
% 16.10/3.01 % (13443)------------------------------
% 16.10/3.03 % (13457)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/163Mi)
% 16.10/3.04 % (13452)Instruction limit reached!
% 16.10/3.04 % (13452)------------------------------
% 16.10/3.04 % (13452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.10/3.04 % (13452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.10/3.04 % (13452)Termination reason: Unknown
% 16.10/3.04 % (13452)Termination phase: Preprocessing 1
% 16.10/3.04
% 16.10/3.04 % (13452)Memory used [KB]: 15479
% 16.10/3.04 % (13452)Time elapsed: 0.044 s
% 16.10/3.04 % (13452)Instructions burned: 84 (million)
% 16.10/3.04 % (13452)------------------------------
% 16.10/3.04 % (13452)------------------------------
% 16.10/3.07 % (13449)Instruction limit reached!
% 16.10/3.07 % (13449)------------------------------
% 16.10/3.07 % (13449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.10/3.07 % (13449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.10/3.07 % (13449)Termination reason: Unknown
% 16.10/3.07 % (13449)Termination phase: Preprocessing 1
% 16.10/3.07
% 16.10/3.07 % (13449)Memory used [KB]: 11897
% 16.10/3.07 % (13449)Time elapsed: 0.057 s
% 16.10/3.07 % (13449)Instructions burned: 122 (million)
% 16.10/3.07 % (13449)------------------------------
% 16.10/3.07 % (13449)------------------------------
% 16.10/3.08 % (13456)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/192Mi)
% 16.94/3.12 % (13459)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/3643Mi)
% 16.94/3.13 % (13439)Instruction limit reached!
% 16.94/3.13 % (13439)------------------------------
% 16.94/3.13 % (13439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.94/3.13 % (13439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.94/3.13 % (13439)Termination reason: Unknown
% 16.94/3.13 % (13439)Termination phase: Property scanning
% 16.94/3.13
% 16.94/3.13 % (13439)Memory used [KB]: 19829
% 16.94/3.13 % (13439)Time elapsed: 0.174 s
% 16.94/3.13 % (13439)Instructions burned: 433 (million)
% 16.94/3.13 % (13439)------------------------------
% 16.94/3.13 % (13439)------------------------------
% 16.94/3.13 % (13458)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/201Mi)
% 16.94/3.14 % (13453)Instruction limit reached!
% 16.94/3.14 % (13453)------------------------------
% 16.94/3.14 % (13453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.94/3.14 % (13453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.94/3.14 % (13453)Termination reason: Unknown
% 16.94/3.14 % (13453)Termination phase: Preprocessing 1
% 16.94/3.14
% 16.94/3.14 % (13453)Memory used [KB]: 11257
% 16.94/3.14 % (13453)Time elapsed: 0.071 s
% 16.94/3.14 % (13453)Instructions burned: 164 (million)
% 16.94/3.14 % (13453)------------------------------
% 16.94/3.14 % (13453)------------------------------
% 16.94/3.15 % (13407)Instruction limit reached!
% 16.94/3.15 % (13407)------------------------------
% 16.94/3.15 % (13407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.94/3.15 % (13407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.94/3.15 % (13407)Termination reason: Unknown
% 16.94/3.15 % (13407)Termination phase: Property scanning
% 16.94/3.15
% 16.94/3.15 % (13407)Memory used [KB]: 21364
% 16.94/3.15 % (13407)Time elapsed: 0.312 s
% 16.94/3.15 % (13407)Instructions burned: 918 (million)
% 16.94/3.15 % (13407)------------------------------
% 16.94/3.15 % (13407)------------------------------
% 16.94/3.17 % (13460)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/729Mi)
% 16.94/3.17 % (13461)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/292Mi)
% 16.94/3.18 % (13440)Instruction limit reached!
% 16.94/3.18 % (13440)------------------------------
% 16.94/3.18 % (13440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.94/3.19 % (13440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.94/3.19 % (13440)Termination reason: Unknown
% 16.94/3.19 % (13440)Termination phase: Preprocessing 3
% 16.94/3.19
% 16.94/3.19 % (13440)Memory used [KB]: 24562
% 16.94/3.19 % (13440)Time elapsed: 0.188 s
% 16.94/3.19 % (13440)Instructions burned: 440 (million)
% 16.94/3.19 % (13440)------------------------------
% 16.94/3.19 % (13440)------------------------------
% 17.51/3.20 % (13462)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/73Mi)
% 17.51/3.27 % (13463)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/1174Mi)
% 17.51/3.28 % (13464)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/348Mi)
% 17.90/3.30 % (13465)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/772Mi)
% 17.90/3.30 % (13466)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/3380Mi)
% 17.90/3.31 % (13447)Instruction limit reached!
% 17.90/3.31 % (13447)------------------------------
% 17.90/3.31 % (13447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.31 % (13447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.31 % (13447)Termination reason: Unknown
% 17.90/3.31 % (13447)Termination phase: Preprocessing 3
% 17.90/3.31
% 17.90/3.31 % (13447)Memory used [KB]: 21748
% 17.90/3.31 % (13447)Time elapsed: 0.142 s
% 17.90/3.31 % (13447)Instructions burned: 281 (million)
% 17.90/3.31 % (13447)------------------------------
% 17.90/3.31 % (13447)------------------------------
% 17.90/3.32 % (13400)Instruction limit reached!
% 17.90/3.32 % (13400)------------------------------
% 17.90/3.32 % (13400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.32 % (13400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.32 % (13400)Termination reason: Unknown
% 17.90/3.32 % (13400)Termination phase: Saturation
% 17.90/3.32
% 17.90/3.32 % (13400)Memory used [KB]: 31086
% 17.90/3.32 % (13400)Time elapsed: 0.457 s
% 17.90/3.32 % (13400)Instructions burned: 999 (million)
% 17.90/3.32 % (13400)------------------------------
% 17.90/3.32 % (13400)------------------------------
% 17.90/3.33 % (13457)Instruction limit reached!
% 17.90/3.33 % (13457)------------------------------
% 17.90/3.33 % (13457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.33 % (13457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.33 % (13457)Termination reason: Unknown
% 17.90/3.33 % (13457)Termination phase: Preprocessing 1
% 17.90/3.33
% 17.90/3.33 % (13457)Memory used [KB]: 15223
% 17.90/3.33 % (13457)Time elapsed: 0.077 s
% 17.90/3.33 % (13457)Instructions burned: 164 (million)
% 17.90/3.33 % (13457)------------------------------
% 17.90/3.33 % (13457)------------------------------
% 17.90/3.34 % (13435)Instruction limit reached!
% 17.90/3.34 % (13435)------------------------------
% 17.90/3.34 % (13435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.34 % (13435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.34 % (13435)Termination reason: Unknown
% 17.90/3.34 % (13435)Termination phase: Preprocessing 3
% 17.90/3.34
% 17.90/3.34 % (13435)Memory used [KB]: 24434
% 17.90/3.34 % (13435)Time elapsed: 0.277 s
% 17.90/3.34 % (13435)Instructions burned: 669 (million)
% 17.90/3.34 % (13435)------------------------------
% 17.90/3.34 % (13435)------------------------------
% 17.90/3.35 % (13462)Instruction limit reached!
% 17.90/3.35 % (13462)------------------------------
% 17.90/3.35 % (13462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.35 % (13462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.35 % (13462)Termination reason: Unknown
% 17.90/3.35 % (13462)Termination phase: SInE selection
% 17.90/3.35
% 17.90/3.35 % (13462)Memory used [KB]: 10106
% 17.90/3.35 % (13462)Time elapsed: 0.038 s
% 17.90/3.35 % (13462)Instructions burned: 75 (million)
% 17.90/3.35 % (13462)------------------------------
% 17.90/3.35 % (13462)------------------------------
% 17.90/3.37 % (13456)Instruction limit reached!
% 17.90/3.37 % (13456)------------------------------
% 17.90/3.37 % (13456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.37 % (13456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.37 % (13456)Termination reason: Unknown
% 17.90/3.37 % (13456)Termination phase: Preprocessing 1
% 17.90/3.37
% 17.90/3.37 % (13456)Memory used [KB]: 16630
% 17.90/3.37 % (13456)Time elapsed: 0.086 s
% 17.90/3.37 % (13456)Instructions burned: 192 (million)
% 17.90/3.37 % (13456)------------------------------
% 17.90/3.37 % (13456)------------------------------
% 17.90/3.38 % (13442)Instruction limit reached!
% 17.90/3.38 % (13442)------------------------------
% 17.90/3.38 % (13442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.38 % (13442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.38 % (13442)Termination reason: Unknown
% 17.90/3.38 % (13442)Termination phase: Preprocessing 3
% 17.90/3.38
% 17.90/3.38 % (13442)Memory used [KB]: 23155
% 17.90/3.38 % (13442)Time elapsed: 0.212 s
% 17.90/3.38 % (13442)Instructions burned: 503 (million)
% 17.90/3.38 % (13442)------------------------------
% 17.90/3.38 % (13442)------------------------------
% 17.90/3.38 % (13451)Instruction limit reached!
% 17.90/3.38 % (13451)------------------------------
% 17.90/3.38 % (13451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.90/3.38 % (13451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.90/3.38 % (13451)Termination reason: Unknown
% 17.90/3.38 % (13451)Termination phase: Preprocessing 3
% 17.90/3.38
% 17.90/3.38 % (13451)Memory used [KB]: 21492
% 17.90/3.38 % (13451)Time elapsed: 0.207 s
% 17.90/3.38 % (13451)Instructions burned: 266 (million)
% 17.90/3.38 % (13451)------------------------------
% 17.90/3.38 % (13451)------------------------------
% 19.90/3.44 % (13467)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/388Mi)
% 19.90/3.45 % (13469)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/226Mi)
% 19.90/3.46 % (13468)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/198Mi)
% 19.90/3.47 % (13458)Instruction limit reached!
% 19.90/3.47 % (13458)------------------------------
% 19.90/3.47 % (13458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.90/3.47 % (13458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.90/3.47 % (13458)Termination reason: Unknown
% 19.90/3.47 % (13458)Termination phase: Preprocessing 3
% 19.90/3.47
% 19.90/3.47 % (13458)Memory used [KB]: 20468
% 19.90/3.47 % (13458)Time elapsed: 0.195 s
% 19.90/3.47 % (13458)Instructions burned: 202 (million)
% 19.90/3.47 % (13458)------------------------------
% 19.90/3.47 % (13458)------------------------------
% 20.51/3.50 % (13472)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/2097Mi)
% 20.51/3.50 % (13470)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/336Mi)
% 20.51/3.51 % (13473)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/4956Mi)
% 20.51/3.52 % (13471)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/206Mi)
% 20.51/3.53 % (13474)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/322Mi)
% 21.06/3.62 % (13475)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/1004Mi)
% 21.06/3.63 % (13461)Instruction limit reached!
% 21.06/3.63 % (13461)------------------------------
% 21.06/3.63 % (13461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.06/3.63 % (13461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.06/3.63 % (13461)Termination reason: Unknown
% 21.06/3.63 % (13461)Termination phase: Preprocessing 3
% 21.06/3.63
% 21.06/3.63 % (13461)Memory used [KB]: 20340
% 21.06/3.63 % (13461)Time elapsed: 0.135 s
% 21.06/3.63 % (13461)Instructions burned: 293 (million)
% 21.06/3.63 % (13461)------------------------------
% 21.06/3.63 % (13461)------------------------------
% 22.18/3.73 % (13410)Instruction limit reached!
% 22.18/3.73 % (13410)------------------------------
% 22.18/3.73 % (13410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.18/3.73 % (13410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.18/3.73 % (13410)Termination reason: Unknown
% 22.18/3.73 % (13410)Termination phase: Property scanning
% 22.18/3.73
% 22.18/3.73 % (13410)Memory used [KB]: 35180
% 22.18/3.73 % (13410)Time elapsed: 0.459 s
% 22.18/3.73 % (13410)Instructions burned: 1287 (million)
% 22.18/3.73 % (13410)------------------------------
% 22.18/3.73 % (13410)------------------------------
% 22.18/3.77 % (13468)Instruction limit reached!
% 22.18/3.77 % (13468)------------------------------
% 22.18/3.77 % (13468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.18/3.77 % (13468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.18/3.77 % (13468)Termination reason: Unknown
% 22.18/3.77 % (13468)Termination phase: Preprocessing 1
% 22.18/3.77
% 22.18/3.77 % (13468)Memory used [KB]: 16758
% 22.18/3.77 % (13468)Time elapsed: 0.089 s
% 22.18/3.77 % (13468)Instructions burned: 198 (million)
% 22.18/3.77 % (13468)------------------------------
% 22.18/3.77 % (13468)------------------------------
% 22.76/3.80 % (13464)Instruction limit reached!
% 22.76/3.80 % (13464)------------------------------
% 22.76/3.80 % (13464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.76/3.80 % (13464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.76/3.80 % (13464)Termination reason: Unknown
% 22.76/3.80 % (13464)Termination phase: Preprocessing 3
% 22.76/3.80
% 22.76/3.80 % (13464)Memory used [KB]: 23027
% 22.76/3.80 % (13464)Time elapsed: 0.154 s
% 22.76/3.80 % (13464)Instructions burned: 348 (million)
% 22.76/3.80 % (13464)------------------------------
% 22.76/3.80 % (13464)------------------------------
% 22.76/3.80 % (13469)Instruction limit reached!
% 22.76/3.80 % (13469)------------------------------
% 22.76/3.80 % (13469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.76/3.80 % (13469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.76/3.80 % (13469)Termination reason: Unknown
% 22.76/3.80 % (13469)Termination phase: Preprocessing 3
% 22.76/3.80
% 22.76/3.80 % (13469)Memory used [KB]: 20724
% 22.76/3.80 % (13469)Time elapsed: 0.107 s
% 22.76/3.80 % (13469)Instructions burned: 226 (million)
% 22.76/3.80 % (13469)------------------------------
% 22.76/3.80 % (13469)------------------------------
% 22.76/3.81 % (13476)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/654Mi)
% 22.76/3.84 % (13471)Instruction limit reached!
% 22.76/3.84 % (13471)------------------------------
% 22.76/3.84 % (13471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.76/3.84 % (13471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.76/3.84 % (13471)Termination reason: Unknown
% 22.76/3.84 % (13471)Termination phase: Preprocessing 1
% 22.76/3.84
% 22.76/3.84 % (13471)Memory used [KB]: 13176
% 22.76/3.84 % (13471)Time elapsed: 0.087 s
% 22.76/3.84 % (13471)Instructions burned: 208 (million)
% 22.76/3.84 % (13471)------------------------------
% 22.76/3.84 % (13471)------------------------------
% 22.76/3.86 % (13477)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/455Mi)
% 23.28/3.89 % (13478)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/98Mi)
% 23.28/3.89 % (13467)Instruction limit reached!
% 23.28/3.89 % (13467)------------------------------
% 23.28/3.89 % (13467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.28/3.91 % (13467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.28/3.91 % (13467)Termination reason: Unknown
% 23.28/3.91 % (13467)Termination phase: Preprocessing 3
% 23.28/3.91
% 23.28/3.91 % (13467)Memory used [KB]: 22003
% 23.28/3.91 % (13467)Time elapsed: 0.166 s
% 23.28/3.91 % (13467)Instructions burned: 389 (million)
% 23.28/3.91 % (13467)------------------------------
% 23.28/3.91 % (13467)------------------------------
% 23.28/3.92 % (13448)Instruction limit reached!
% 23.28/3.92 % (13448)------------------------------
% 23.28/3.92 % (13448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.28/3.92 % (13448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.28/3.92 % (13448)Termination reason: Unknown
% 23.28/3.92 % (13448)Termination phase: Property scanning
% 23.28/3.92
% 23.28/3.92 % (13448)Memory used [KB]: 35052
% 23.28/3.92 % (13448)Time elapsed: 0.399 s
% 23.28/3.92 % (13448)Instructions burned: 997 (million)
% 23.28/3.92 % (13448)------------------------------
% 23.28/3.92 % (13448)------------------------------
% 23.28/3.94 % (13479)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/186Mi)
% 23.28/3.95 % (13480)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/473Mi)
% 23.28/3.97 % (13481)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/433Mi)
% 24.53/4.00 % (13411)Instruction limit reached!
% 24.53/4.00 % (13411)------------------------------
% 24.53/4.00 % (13411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.53/4.00 % (13411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.53/4.00 % (13411)Termination reason: Unknown
% 24.53/4.00 % (13411)Termination phase: Property scanning
% 24.53/4.00
% 24.53/4.00 % (13411)Memory used [KB]: 33261
% 24.53/4.00 % (13411)Time elapsed: 0.520 s
% 24.53/4.00 % (13411)Instructions burned: 1502 (million)
% 24.53/4.00 % (13411)------------------------------
% 24.53/4.00 % (13411)------------------------------
% 24.53/4.02 % (13482)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/453Mi)
% 24.70/4.03 % (13470)Instruction limit reached!
% 24.70/4.03 % (13470)------------------------------
% 24.70/4.03 % (13470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.70/4.03 % (13422)Instruction limit reached!
% 24.70/4.03 % (13422)------------------------------
% 24.70/4.03 % (13422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.70/4.03 % (13422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.70/4.03 % (13422)Termination reason: Unknown
% 24.70/4.03 % (13422)Termination phase: Property scanning
% 24.70/4.03
% 24.70/4.03 % (13422)Memory used [KB]: 26865
% 24.70/4.03 % (13422)Time elapsed: 0.488 s
% 24.70/4.03 % (13422)Instructions burned: 1489 (million)
% 24.70/4.03 % (13422)------------------------------
% 24.70/4.03 % (13422)------------------------------
% 24.70/4.04 % (13470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.70/4.04 % (13470)Termination reason: Unknown
% 24.70/4.04 % (13470)Termination phase: Preprocessing 3
% 24.70/4.04
% 24.70/4.04 % (13470)Memory used [KB]: 21236
% 24.70/4.04 % (13470)Time elapsed: 0.163 s
% 24.70/4.04 % (13470)Instructions burned: 338 (million)
% 24.70/4.04 % (13470)------------------------------
% 24.70/4.04 % (13470)------------------------------
% 24.70/4.04 % (13478)Instruction limit reached!
% 24.70/4.04 % (13478)------------------------------
% 24.70/4.04 % (13478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.70/4.05 % (13478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.70/4.05 % (13478)Termination reason: Unknown
% 24.70/4.05 % (13478)Termination phase: Preprocessing 1
% 24.70/4.05
% 24.70/4.05 % (13478)Memory used [KB]: 10618
% 24.70/4.05 % (13478)Time elapsed: 0.045 s
% 24.70/4.05 % (13478)Instructions burned: 99 (million)
% 24.70/4.05 % (13478)------------------------------
% 24.70/4.05 % (13478)------------------------------
% 24.70/4.06 % (13483)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/802Mi)
% 24.70/4.06 % (13474)Instruction limit reached!
% 24.70/4.06 % (13474)------------------------------
% 24.70/4.06 % (13474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.70/4.06 % (13474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.70/4.06 % (13474)Termination reason: Unknown
% 24.70/4.06 % (13474)Termination phase: Saturation
% 24.70/4.06
% 24.70/4.06 % (13474)Memory used [KB]: 17398
% 24.70/4.06 % (13474)Time elapsed: 0.652 s
% 24.70/4.06 % (13474)Instructions burned: 323 (million)
% 24.70/4.06 % (13474)------------------------------
% 24.70/4.06 % (13474)------------------------------
% 25.36/4.16 % (13484)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/848Mi)
% 25.36/4.17 % (13485)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/452Mi)
% 25.36/4.17 % (13486)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/644Mi)
% 25.36/4.18 % (13487)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/855Mi)
% 25.36/4.18 % (13479)Instruction limit reached!
% 25.36/4.18 % (13479)------------------------------
% 25.36/4.18 % (13479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.36/4.18 % (13479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.36/4.18 % (13479)Termination reason: Unknown
% 25.36/4.18 % (13479)Termination phase: Preprocessing 1
% 25.36/4.18
% 25.36/4.18 % (13479)Memory used [KB]: 10874
% 25.36/4.18 % (13479)Time elapsed: 0.094 s
% 25.36/4.18 % (13479)Instructions burned: 186 (million)
% 25.36/4.18 % (13479)------------------------------
% 25.36/4.18 % (13479)------------------------------
% 25.36/4.19 % (13488)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/3379Mi)
% 25.83/4.22 % (13460)Instruction limit reached!
% 25.83/4.22 % (13460)------------------------------
% 25.83/4.22 % (13460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.83/4.23 % (13460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.83/4.23 % (13460)Termination reason: Unknown
% 25.83/4.23 % (13460)Termination phase: Property scanning
% 25.83/4.23
% 25.83/4.23 % (13460)Memory used [KB]: 35052
% 25.83/4.23 % (13460)Time elapsed: 0.303 s
% 25.83/4.23 % (13460)Instructions burned: 730 (million)
% 25.83/4.23 % (13460)------------------------------
% 25.83/4.23 % (13460)------------------------------
% 26.61/4.32 % (13489)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/1340Mi)
% 26.72/4.33 % (13425)Instruction limit reached!
% 26.72/4.33 % (13425)------------------------------
% 26.72/4.33 % (13425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.72/4.35 % (13425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.72/4.35 % (13425)Termination reason: Unknown
% 26.72/4.35 % (13425)Termination phase: Saturation
% 26.72/4.35
% 26.72/4.35 % (13425)Memory used [KB]: 26865
% 26.72/4.35 % (13425)Time elapsed: 2.094 s
% 26.72/4.35 % (13425)Instructions burned: 1489 (million)
% 26.72/4.35 % (13425)------------------------------
% 26.72/4.35 % (13425)------------------------------
% 26.72/4.37 % (13490)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/1024Mi)
% 27.33/4.45 % (13428)Instruction limit reached!
% 27.33/4.45 % (13428)------------------------------
% 27.33/4.45 % (13428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.33/4.46 % (13428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.33/4.46 % (13428)Termination reason: Unknown
% 27.33/4.46 % (13428)Termination phase: Saturation
% 27.33/4.46
% 27.33/4.46 % (13428)Memory used [KB]: 23027
% 27.33/4.46 % (13428)Time elapsed: 2.200 s
% 27.33/4.46 % (13428)Instructions burned: 1345 (million)
% 27.33/4.46 % (13428)------------------------------
% 27.33/4.46 % (13428)------------------------------
% 27.33/4.49 % (13491)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/480Mi)
% 27.73/4.52 % (13477)Instruction limit reached!
% 27.73/4.52 % (13477)------------------------------
% 27.73/4.52 % (13477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.73/4.53 % (13477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.73/4.53 % (13477)Termination reason: Unknown
% 27.73/4.53 % (13477)Termination phase: Preprocessing 3
% 27.73/4.53
% 27.73/4.53 % (13465)Instruction limit reached!
% 27.73/4.53 % (13465)------------------------------
% 27.73/4.53 % (13465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.73/4.53 % (13477)Memory used [KB]: 25074
% 27.73/4.53 % (13477)Time elapsed: 0.218 s
% 27.73/4.53 % (13477)Instructions burned: 456 (million)
% 27.73/4.53 % (13477)------------------------------
% 27.73/4.53 % (13477)------------------------------
% 27.73/4.54 % (13465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.73/4.54 % (13465)Termination reason: Unknown
% 27.73/4.54 % (13465)Termination phase: Property scanning
% 27.73/4.54
% 27.73/4.54 % (13465)Memory used [KB]: 34924
% 27.73/4.54 % (13465)Time elapsed: 0.523 s
% 27.73/4.54 % (13465)Instructions burned: 772 (million)
% 27.73/4.54 % (13465)------------------------------
% 27.73/4.54 % (13465)------------------------------
% 27.73/4.56 % (13454)Instruction limit reached!
% 27.73/4.56 % (13454)------------------------------
% 27.73/4.56 % (13454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.09/4.58 % (13454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.09/4.58 % (13454)Termination reason: Unknown
% 29.09/4.58 % (13454)Termination phase: Property scanning
% 29.09/4.58
% 29.09/4.58 % (13454)Memory used [KB]: 35180
% 29.09/4.58 % (13454)Time elapsed: 0.485 s
% 29.09/4.58 % (13454)Instructions burned: 1290 (million)
% 29.09/4.58 % (13454)------------------------------
% 29.09/4.58 % (13454)------------------------------
% 29.20/4.59 % (13481)Instruction limit reached!
% 29.20/4.59 % (13481)------------------------------
% 29.20/4.59 % (13481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.20/4.59 % (13481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.20/4.59 % (13481)Termination reason: Unknown
% 29.20/4.59 % (13481)Termination phase: Preprocessing 3
% 29.20/4.59
% 29.20/4.59 % (13481)Memory used [KB]: 21364
% 29.20/4.59 % (13481)Time elapsed: 0.214 s
% 29.20/4.59 % (13481)Instructions burned: 433 (million)
% 29.20/4.59 % (13481)------------------------------
% 29.20/4.59 % (13481)------------------------------
% 29.20/4.60 % (13437)Instruction limit reached!
% 29.20/4.60 % (13437)------------------------------
% 29.20/4.60 % (13437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.20/4.60 % (13492)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/543Mi)
% 29.20/4.61 % (13437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.20/4.61 % (13437)Termination reason: Unknown
% 29.20/4.61 % (13437)Termination phase: Saturation
% 29.20/4.61
% 29.20/4.61 % (13437)Memory used [KB]: 41577
% 29.20/4.61 % (13437)Time elapsed: 0.624 s
% 29.20/4.61 % (13437)Instructions burned: 1737 (million)
% 29.20/4.61 % (13437)------------------------------
% 29.20/4.61 % (13437)------------------------------
% 29.49/4.63 % (13480)Instruction limit reached!
% 29.49/4.63 % (13480)------------------------------
% 29.49/4.63 % (13480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.63 % (13480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.63 % (13480)Termination reason: Unknown
% 29.49/4.63 % (13480)Termination phase: Saturation
% 29.49/4.63
% 29.49/4.63 % (13480)Memory used [KB]: 19061
% 29.49/4.63 % (13480)Time elapsed: 0.738 s
% 29.49/4.63 % (13480)Instructions burned: 473 (million)
% 29.49/4.63 % (13480)------------------------------
% 29.49/4.63 % (13480)------------------------------
% 29.49/4.64 % (13476)Instruction limit reached!
% 29.49/4.64 % (13476)------------------------------
% 29.49/4.64 % (13476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.64 % (13476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.64 % (13476)Termination reason: Unknown
% 29.49/4.64 % (13476)Termination phase: NewCNF
% 29.49/4.64
% 29.49/4.64 % (13476)Memory used [KB]: 24946
% 29.49/4.64 % (13476)Time elapsed: 0.274 s
% 29.49/4.64 % (13476)Instructions burned: 656 (million)
% 29.49/4.64 % (13476)------------------------------
% 29.49/4.64 % (13476)------------------------------
% 29.49/4.65 % (13494)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/670Mi)
% 29.49/4.68 % (13493)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/2849Mi)
% 29.49/4.68 % (13482)Instruction limit reached!
% 29.49/4.68 % (13482)------------------------------
% 29.49/4.68 % (13482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.68 % (13482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.68 % (13482)Termination reason: Unknown
% 29.49/4.68 % (13482)Termination phase: Preprocessing 3
% 29.49/4.68
% 29.49/4.68 % (13482)Memory used [KB]: 24562
% 29.49/4.68 % (13482)Time elapsed: 0.208 s
% 29.49/4.68 % (13482)Instructions burned: 453 (million)
% 29.49/4.68 % (13482)------------------------------
% 29.49/4.68 % (13482)------------------------------
% 30.03/4.71 % (13495)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/918Mi)
% 30.03/4.73 % (13430)Instruction limit reached!
% 30.03/4.73 % (13430)------------------------------
% 30.03/4.73 % (13430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.03/4.74 % (13430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.03/4.74 % (13430)Termination reason: Unknown
% 30.03/4.74 % (13430)Termination phase: Saturation
% 30.03/4.74
% 30.03/4.74 % (13430)Memory used [KB]: 33133
% 30.03/4.74 % (13430)Time elapsed: 2.378 s
% 30.03/4.74 % (13430)Instructions burned: 1498 (million)
% 30.03/4.74 % (13430)------------------------------
% 30.03/4.74 % (13430)------------------------------
% 30.03/4.76 % (13498)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/439Mi)
% 30.03/4.76 % (13497)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/124Mi)
% 30.03/4.77 % (13496)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/2016Mi)
% 30.49/4.79 % (13499)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/778Mi)
% 30.49/4.80 % (13463)Instruction limit reached!
% 30.49/4.80 % (13463)------------------------------
% 30.49/4.80 % (13463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.49/4.80 % (13463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.49/4.80 % (13463)Termination reason: Unknown
% 30.49/4.80 % (13463)Termination phase: Property scanning
% 30.49/4.80
% 30.49/4.80 % (13463)Memory used [KB]: 35052
% 30.49/4.80 % (13463)Time elapsed: 0.462 s
% 30.49/4.80 % (13463)Instructions burned: 1177 (million)
% 30.49/4.80 % (13463)------------------------------
% 30.49/4.80 % (13463)------------------------------
% 30.49/4.82 % (13500)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/105Mi)
% 30.49/4.82 % (13485)Instruction limit reached!
% 30.49/4.82 % (13485)------------------------------
% 30.49/4.82 % (13485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.49/4.82 % (13485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.49/4.82 % (13485)Termination reason: Unknown
% 30.49/4.82 % (13485)Termination phase: Preprocessing 3
% 30.49/4.82
% 30.49/4.82 % (13485)Memory used [KB]: 22643
% 30.49/4.82 % (13485)Time elapsed: 0.205 s
% 30.49/4.82 % (13485)Instructions burned: 454 (million)
% 30.49/4.82 % (13485)------------------------------
% 30.49/4.82 % (13485)------------------------------
% 31.05/4.88 % (13501)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/1536Mi)
% 31.38/4.95 % (13497)Instruction limit reached!
% 31.38/4.95 % (13497)------------------------------
% 31.38/4.95 % (13497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.38/4.95 % (13497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.38/4.95 % (13497)Termination reason: Unknown
% 31.38/4.95 % (13497)Termination phase: SInE selection
% 31.38/4.95
% 31.38/4.95 % (13497)Memory used [KB]: 10106
% 31.38/4.95 % (13497)Time elapsed: 0.054 s
% 31.38/4.95 % (13497)Instructions burned: 125 (million)
% 31.38/4.95 % (13497)------------------------------
% 31.38/4.95 % (13497)------------------------------
% 31.38/4.97 % (13502)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/167Mi)
% 31.38/4.98 % (13503)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/4507Mi)
% 31.90/5.02 % (13500)Instruction limit reached!
% 31.90/5.02 % (13500)------------------------------
% 31.90/5.02 % (13500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.90/5.02 % (13500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.90/5.02 % (13500)Termination reason: Unknown
% 31.90/5.02 % (13500)Termination phase: shuffling
% 31.90/5.02
% 31.90/5.02 % (13500)Memory used [KB]: 11769
% 31.90/5.02 % (13500)Time elapsed: 0.052 s
% 31.90/5.02 % (13500)Instructions burned: 107 (million)
% 31.90/5.02 % (13500)------------------------------
% 31.90/5.02 % (13500)------------------------------
% 31.90/5.03 % (13475)Instruction limit reached!
% 31.90/5.03 % (13475)------------------------------
% 31.90/5.03 % (13475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.90/5.03 % (13475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.90/5.03 % (13475)Termination reason: Unknown
% 31.90/5.03 % (13475)Termination phase: Property scanning
% 31.90/5.03
% 31.90/5.03 % (13475)Memory used [KB]: 34924
% 31.90/5.03 % (13475)Time elapsed: 0.791 s
% 31.90/5.03 % (13475)Instructions burned: 1004 (million)
% 31.90/5.03 % (13475)------------------------------
% 31.90/5.03 % (13475)------------------------------
% 31.90/5.08 % (13486)Instruction limit reached!
% 31.90/5.08 % (13486)------------------------------
% 31.90/5.08 % (13486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.90/5.08 % (13486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.90/5.08 % (13486)Termination reason: Unknown
% 31.90/5.08 % (13486)Termination phase: Preprocessing 3
% 31.90/5.08
% 31.90/5.08 % (13486)Memory used [KB]: 25841
% 31.90/5.08 % (13486)Time elapsed: 0.274 s
% 31.90/5.08 % (13486)Instructions burned: 644 (million)
% 31.90/5.08 % (13486)------------------------------
% 31.90/5.08 % (13486)------------------------------
% 33.13/5.10 % (13504)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/93Mi)
% 33.13/5.11 % (13483)Instruction limit reached!
% 33.13/5.11 % (13483)------------------------------
% 33.13/5.11 % (13483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.13/5.11 % (13483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.13/5.11 % (13483)Termination reason: Unknown
% 33.13/5.11 % (13483)Termination phase: Property scanning
% 33.13/5.11
% 33.13/5.11 % (13483)Memory used [KB]: 35180
% 33.13/5.11 % (13483)Time elapsed: 0.336 s
% 33.13/5.11 % (13483)Instructions burned: 802 (million)
% 33.13/5.11 % (13483)------------------------------
% 33.13/5.11 % (13483)------------------------------
% 33.13/5.16 % (13506)lrs+1011_1:1024_av=off:br=off:s2at=3.0:slsq=on:slsqc=2:slsql=off:slsqr=1,8:urr=ec_only:i=1275:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/1275Mi)
% 33.13/5.17 % (13505)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=529:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/529Mi)
% 33.99/5.20 % (13491)Instruction limit reached!
% 33.99/5.20 % (13491)------------------------------
% 33.99/5.20 % (13491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.99/5.20 % (13491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.99/5.20 % (13491)Termination reason: Unknown
% 33.99/5.20 % (13491)Termination phase: Preprocessing 3
% 33.99/5.20
% 33.99/5.20 % (13491)Memory used [KB]: 22771
% 33.99/5.20 % (13491)Time elapsed: 0.211 s
% 33.99/5.20 % (13491)Instructions burned: 482 (million)
% 33.99/5.20 % (13491)------------------------------
% 33.99/5.20 % (13491)------------------------------
% 33.99/5.20 % (13507)dis+10_1:1_av=off:gs=on:newcnf=on:nm=2:plsq=on:plsqr=32,1:sd=1:sos=all:ss=included:st=3.0:i=507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/507Mi)
% 34.16/5.22 % (13508)dis+1002_1:28_av=off:nwc=5.0:s2a=on:s2at=3.0:i=354:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/354Mi)
% 34.16/5.28 % (13487)Instruction limit reached!
% 34.16/5.28 % (13487)------------------------------
% 34.16/5.28 % (13487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.16/5.28 % (13487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.16/5.28 % (13487)Termination reason: Unknown
% 34.16/5.28 % (13487)Termination phase: Property scanning
% 34.16/5.28
% 34.16/5.28 % (13487)Memory used [KB]: 36076
% 34.16/5.28 % (13487)Time elapsed: 0.357 s
% 34.16/5.28 % (13487)Instructions burned: 855 (million)
% 34.16/5.28 % (13487)------------------------------
% 34.16/5.28 % (13487)------------------------------
% 34.16/5.28 % (13502)Instruction limit reached!
% 34.16/5.28 % (13502)------------------------------
% 34.16/5.28 % (13502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.16/5.28 % (13502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.16/5.28 % (13502)Termination reason: Unknown
% 34.16/5.28 % (13502)Termination phase: Preprocessing 2
% 34.16/5.28
% 34.16/5.28 % (13502)Memory used [KB]: 19189
% 34.16/5.28 % (13502)Time elapsed: 0.083 s
% 34.16/5.28 % (13502)Instructions burned: 167 (million)
% 34.16/5.28 % (13502)------------------------------
% 34.16/5.28 % (13502)------------------------------
% 34.16/5.31 % (13504)Instruction limit reached!
% 34.16/5.31 % (13504)------------------------------
% 34.16/5.31 % (13504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.16/5.31 % (13504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.16/5.31 % (13504)Termination reason: Unknown
% 34.16/5.31 % (13504)Termination phase: Preprocessing 1
% 34.16/5.31
% 34.16/5.31 % (13504)Memory used [KB]: 15735
% 34.16/5.31 % (13504)Time elapsed: 0.049 s
% 34.16/5.31 % (13504)Instructions burned: 94 (million)
% 34.16/5.31 % (13504)------------------------------
% 34.16/5.31 % (13504)------------------------------
% 34.86/5.34 % (13509)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/210Mi)
% 34.86/5.35 % (13484)Instruction limit reached!
% 34.86/5.35 % (13484)------------------------------
% 34.86/5.35 % (13484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.86/5.35 % (13484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.86/5.35 % (13484)Termination reason: Unknown
% 34.86/5.35 % (13484)Termination phase: Saturation
% 34.86/5.35
% 34.86/5.35 % (13484)Memory used [KB]: 22643
% 34.86/5.35 % (13484)Time elapsed: 1.243 s
% 34.86/5.35 % (13484)Instructions burned: 849 (million)
% 34.86/5.35 % (13484)------------------------------
% 34.86/5.35 % (13484)------------------------------
% 35.35/5.40 % (13492)Instruction limit reached!
% 35.35/5.40 % (13492)------------------------------
% 35.35/5.40 % (13492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.35/5.41 % (13492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.35/5.41 % (13492)Termination reason: Unknown
% 35.35/5.41 % (13492)Termination phase: Preprocessing 3
% 35.35/5.41
% 35.35/5.41 % (13492)Memory used [KB]: 30575
% 35.35/5.41 % (13492)Time elapsed: 0.230 s
% 35.35/5.41 % (13492)Instructions burned: 545 (million)
% 35.35/5.41 % (13492)------------------------------
% 35.35/5.41 % (13492)------------------------------
% 35.35/5.42 % (13510)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/93Mi)
% 35.35/5.42 % (13438)Instruction limit reached!
% 35.35/5.42 % (13438)------------------------------
% 35.35/5.42 % (13438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.35/5.43 % (13511)dis+1011_1:1_bsr=on:erd=off:nwc=5.0:plsq=on:plsqc=1:plsqr=107,4:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:spb=units:updr=off:i=1114:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/1114Mi)
% 35.35/5.43 % (13498)Instruction limit reached!
% 35.35/5.43 % (13498)------------------------------
% 35.35/5.43 % (13498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.35/5.44 % (13438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.35/5.44 % (13438)Termination reason: Unknown
% 35.35/5.44 % (13438)Termination phase: Property scanning
% 35.35/5.44
% 35.35/5.44 % (13438)Memory used [KB]: 27632
% 35.35/5.44 % (13438)Time elapsed: 0.879 s
% 35.35/5.44 % (13438)Instructions burned: 2682 (million)
% 35.35/5.44 % (13438)------------------------------
% 35.35/5.44 % (13438)------------------------------
% 35.35/5.44 % (13512)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/189Mi)
% 35.35/5.45 % (13498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.35/5.45 % (13498)Termination reason: Unknown
% 35.35/5.45 % (13498)Termination phase: Preprocessing 3
% 35.35/5.45
% 35.35/5.45 % (13498)Memory used [KB]: 23666
% 35.35/5.45 % (13498)Time elapsed: 0.194 s
% 35.35/5.45 % (13498)Instructions burned: 441 (million)
% 35.35/5.45 % (13498)------------------------------
% 35.35/5.45 % (13498)------------------------------
% 35.85/5.49 % (13513)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=351:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/351Mi)
% 35.85/5.54 % (13494)Instruction limit reached!
% 35.85/5.54 % (13494)------------------------------
% 35.85/5.54 % (13494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.85/5.54 % (13494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.85/5.54 % (13494)Termination reason: Unknown
% 35.85/5.54 % (13494)Termination phase: Property scanning
% 35.85/5.54
% 35.85/5.54 % (13494)Memory used [KB]: 17782
% 35.85/5.54 % (13494)Time elapsed: 0.236 s
% 35.85/5.54 % (13494)Instructions burned: 674 (million)
% 35.85/5.54 % (13494)------------------------------
% 35.85/5.54 % (13494)------------------------------
% 35.85/5.57 % (13515)ott+1003_1:1_bce=on:bd=preordered:drc=off:fd=preordered:to=lpo:uwa=ground:i=318:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/318Mi)
% 35.85/5.57 % (13516)dis+21_1:1_aac=none:er=known:lcm=predicate:nwc=3.0:sp=frequency:i=471:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/471Mi)
% 36.42/5.58 % (13445)Instruction limit reached!
% 36.42/5.58 % (13445)------------------------------
% 36.42/5.58 % (13445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.42/5.58 % (13445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.42/5.58 % (13445)Termination reason: Unknown
% 36.42/5.58 % (13445)Termination phase: Property scanning
% 36.42/5.58
% 36.42/5.58 % (13445)Memory used [KB]: 35948
% 36.42/5.58 % (13445)Time elapsed: 0.883 s
% 36.42/5.58 % (13445)Instructions burned: 2544 (million)
% 36.42/5.58 % (13445)------------------------------
% 36.42/5.58 % (13445)------------------------------
% 36.51/5.61 % (13514)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/144Mi)
% 36.51/5.61 % (13510)Instruction limit reached!
% 36.51/5.61 % (13510)------------------------------
% 36.51/5.61 % (13510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.51/5.61 % (13510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.51/5.61 % (13510)Termination reason: Unknown
% 36.51/5.61 % (13510)Termination phase: Preprocessing 1
% 36.51/5.61
% 36.51/5.61 % (13510)Memory used [KB]: 11001
% 36.51/5.61 % (13510)Time elapsed: 0.046 s
% 36.51/5.61 % (13510)Instructions burned: 93 (million)
% 36.51/5.61 % (13510)------------------------------
% 36.51/5.61 % (13510)------------------------------
% 36.69/5.66 % (13509)Instruction limit reached!
% 36.69/5.66 % (13509)------------------------------
% 36.69/5.66 % (13509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.69/5.66 % (13509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.69/5.66 % (13509)Termination reason: Unknown
% 36.69/5.66 % (13509)Termination phase: Preprocessing 1
% 36.69/5.66
% 36.69/5.66 % (13509)Memory used [KB]: 17398
% 36.69/5.66 % (13509)Time elapsed: 0.094 s
% 36.69/5.66 % (13509)Instructions burned: 210 (million)
% 36.69/5.66 % (13509)------------------------------
% 36.69/5.66 % (13509)------------------------------
% 36.69/5.70 % (13508)Instruction limit reached!
% 36.69/5.70 % (13508)------------------------------
% 36.69/5.70 % (13508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.69/5.70 % (13508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.69/5.70 % (13508)Termination reason: Unknown
% 36.69/5.70 % (13508)Termination phase: Preprocessing 3
% 36.69/5.70
% 36.69/5.70 % (13508)Memory used [KB]: 20596
% 36.69/5.70 % (13508)Time elapsed: 0.158 s
% 36.69/5.70 % (13508)Instructions burned: 354 (million)
% 36.69/5.70 % (13508)------------------------------
% 36.69/5.70 % (13508)------------------------------
% 37.46/5.72 % (13517)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/689Mi)
% 37.46/5.72 % (13518)dis+1011_1:16_etr=on:fsd=on:fsr=off:ins=1:plsq=on:plsqr=32,1:sac=on:sp=frequency:spb=goal:ss=axioms:st=2.0:to=lpo:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/451Mi)
% 37.46/5.74 % (13519)lrs+1011_1:2_acc=on:avsq=on:avsqc=2:avsqr=1,16:awrs=converge:plsq=on:plsqc=1:plsqr=15,8:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/125Mi)
% 37.46/5.78 % (13507)Instruction limit reached!
% 37.46/5.78 % (13507)------------------------------
% 37.46/5.78 % (13507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.46/5.78 % (13507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.46/5.78 % (13507)Termination reason: Unknown
% 37.46/5.78 % (13507)Termination phase: Property scanning
% 37.46/5.78
% 37.46/5.78 % (13507)Memory used [KB]: 17142
% 37.46/5.78 % (13507)Time elapsed: 0.181 s
% 37.46/5.78 % (13507)Instructions burned: 507 (million)
% 37.46/5.78 % (13507)------------------------------
% 37.46/5.78 % (13507)------------------------------
% 37.46/5.79 % (13512)Instruction limit reached!
% 37.46/5.79 % (13512)------------------------------
% 37.46/5.79 % (13512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.46/5.79 % (13512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.46/5.79 % (13512)Termination reason: Unknown
% 37.46/5.79 % (13512)Termination phase: NewCNF
% 37.46/5.79
% 37.46/5.79 % (13512)Memory used [KB]: 20468
% 37.46/5.79 % (13512)Time elapsed: 0.093 s
% 37.46/5.79 % (13512)Instructions burned: 191 (million)
% 37.46/5.79 % (13512)------------------------------
% 37.46/5.79 % (13512)------------------------------
% 37.46/5.80 % (13520)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/496Mi)
% 37.46/5.80 % (13490)Instruction limit reached!
% 37.46/5.80 % (13490)------------------------------
% 37.46/5.80 % (13490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.46/5.80 % (13490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.46/5.80 % (13490)Termination reason: Unknown
% 37.46/5.80 % (13490)Termination phase: Property scanning
% 37.46/5.80
% 37.46/5.80 % (13490)Memory used [KB]: 35052
% 37.46/5.80 % (13490)Time elapsed: 0.407 s
% 37.46/5.80 % (13490)Instructions burned: 1025 (million)
% 37.46/5.80 % (13490)------------------------------
% 37.46/5.80 % (13490)------------------------------
% 38.84/5.84 % (13514)Instruction limit reached!
% 38.84/5.84 % (13514)------------------------------
% 38.84/5.84 % (13514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.84/5.84 % (13514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.84/5.84 % (13514)Termination reason: Unknown
% 38.84/5.84 % (13514)Termination phase: Preprocessing 1
% 38.84/5.84
% 38.84/5.84 % (13514)Memory used [KB]: 18038
% 38.84/5.84 % (13514)Time elapsed: 0.073 s
% 38.84/5.84 % (13514)Instructions burned: 145 (million)
% 38.84/5.84 % (13514)------------------------------
% 38.84/5.84 % (13514)------------------------------
% 38.84/5.87 % (13521)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/370Mi)
% 39.49/5.91 % (13499)Instruction limit reached!
% 39.49/5.91 % (13499)------------------------------
% 39.49/5.91 % (13499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.49/5.91 % (13499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.49/5.91 % (13499)Termination reason: Unknown
% 39.49/5.91 % (13499)Termination phase: Preprocessing 3
% 39.49/5.91
% 39.49/5.91 % (13499)Memory used [KB]: 32877
% 39.49/5.91 % (13499)Time elapsed: 0.319 s
% 39.49/5.91 % (13499)Instructions burned: 779 (million)
% 39.49/5.91 % (13499)------------------------------
% 39.49/5.91 % (13499)------------------------------
% 39.49/5.92 % (13522)lrs+1002_1:64_av=off:bd=off:gsp=on:plsq=on:sos=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/134Mi)
% 39.49/5.93 % (13519)Instruction limit reached!
% 39.49/5.93 % (13519)------------------------------
% 39.49/5.93 % (13519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.49/5.93 % (13519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.49/5.93 % (13519)Termination reason: Unknown
% 39.49/5.93 % (13519)Termination phase: Preprocessing 1
% 39.49/5.93
% 39.49/5.93 % (13519)Memory used [KB]: 17270
% 39.49/5.93 % (13519)Time elapsed: 0.061 s
% 39.49/5.93 % (13519)Instructions burned: 126 (million)
% 39.49/5.93 % (13519)------------------------------
% 39.49/5.93 % (13519)------------------------------
% 39.49/5.94 % (13524)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1879:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/1879Mi)
% 39.49/5.94 % (13523)lrs+1010_1:3_aac=none:anc=all_dependent:bsr=on:fsr=off:nwc=1.5:sos=on:i=401:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/401Mi)
% 39.49/5.95 % (13513)Instruction limit reached!
% 39.49/5.95 % (13513)------------------------------
% 39.49/5.95 % (13513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.49/5.95 % (13513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.49/5.95 % (13513)Termination reason: Unknown
% 39.49/5.95 % (13513)Termination phase: Preprocessing 3
% 39.49/5.95
% 39.49/5.95 % (13513)Memory used [KB]: 19957
% 39.49/5.95 % (13513)Time elapsed: 0.148 s
% 39.49/5.95 % (13513)Instructions burned: 353 (million)
% 39.49/5.95 % (13513)------------------------------
% 39.49/5.95 % (13513)------------------------------
% 39.49/5.96 % (13495)Instruction limit reached!
% 39.49/5.96 % (13495)------------------------------
% 39.49/5.96 % (13495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.49/5.96 % (13495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.49/5.96 % (13495)Termination reason: Unknown
% 39.49/5.96 % (13495)Termination phase: Property scanning
% 39.49/5.96
% 39.49/5.96 % (13495)Memory used [KB]: 36076
% 39.49/5.96 % (13495)Time elapsed: 0.361 s
% 39.49/5.96 % (13495)Instructions burned: 921 (million)
% 39.49/5.96 % (13495)------------------------------
% 39.49/5.96 % (13495)------------------------------
% 39.49/5.98 % (13505)Instruction limit reached!
% 39.49/5.98 % (13505)------------------------------
% 39.49/5.98 % (13505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.49/5.98 % (13505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.49/5.98 % (13505)Termination reason: Unknown
% 39.49/5.98 % (13505)Termination phase: Preprocessing 3
% 39.49/5.98
% 39.49/5.98 % (13505)Memory used [KB]: 30319
% 39.49/5.98 % (13505)Time elapsed: 0.228 s
% 39.49/5.98 % (13505)Instructions burned: 531 (million)
% 39.49/5.98 % (13505)------------------------------
% 39.49/5.98 % (13505)------------------------------
% 39.49/5.98 % (13525)lrs+10_1:1024_br=off:bs=unit_only:ep=RS:flr=on:fsr=off:lcm=reverse:slsq=on:sos=all:sp=frequency:urr=on:i=392:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/392Mi)
% 40.32/6.03 % (13472)Instruction limit reached!
% 40.32/6.03 % (13472)------------------------------
% 40.32/6.03 % (13472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.32/6.03 % (13472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.32/6.03 % (13472)Termination reason: Unknown
% 40.32/6.03 % (13472)Termination phase: Saturation
% 40.32/6.03
% 40.32/6.03 % (13472)Memory used [KB]: 45542
% 40.32/6.03 % (13472)Time elapsed: 0.823 s
% 40.32/6.03 % (13472)Instructions burned: 2097 (million)
% 40.32/6.03 % (13472)------------------------------
% 40.32/6.03 % (13472)------------------------------
% 40.32/6.06 % (13527)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/131Mi)
% 40.32/6.07 % (13528)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/154Mi)
% 40.32/6.08 % (13526)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=3473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/3473Mi)
% 40.32/6.10 % (13529)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/668Mi)
% 40.96/6.11 % (13515)Instruction limit reached!
% 40.96/6.11 % (13515)------------------------------
% 40.96/6.11 % (13515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.96/6.11 % (13515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.96/6.11 % (13515)Termination reason: Unknown
% 40.96/6.11 % (13515)Termination phase: Preprocessing 3
% 40.96/6.11
% 40.96/6.11 % (13515)Memory used [KB]: 22515
% 40.96/6.11 % (13515)Time elapsed: 0.146 s
% 40.96/6.11 % (13515)Instructions burned: 320 (million)
% 40.96/6.11 % (13515)------------------------------
% 40.96/6.11 % (13515)------------------------------
% 40.96/6.14 % (13489)Instruction limit reached!
% 40.96/6.14 % (13489)------------------------------
% 40.96/6.14 % (13489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.96/6.14 % (13489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.96/6.14 % (13489)Termination reason: Unknown
% 40.96/6.14 % (13489)Termination phase: Saturation
% 40.96/6.14
% 40.96/6.14 % (13489)Memory used [KB]: 28784
% 40.96/6.14 % (13489)Time elapsed: 1.902 s
% 40.96/6.14 % (13489)Instructions burned: 1342 (million)
% 40.96/6.14 % (13489)------------------------------
% 40.96/6.14 % (13489)------------------------------
% 40.96/6.15 % (13530)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=254:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/254Mi)
% 40.96/6.15 % (13522)Instruction limit reached!
% 40.96/6.15 % (13522)------------------------------
% 40.96/6.15 % (13522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.96/6.15 % (13522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.96/6.15 % (13522)Termination reason: Unknown
% 40.96/6.15 % (13522)Termination phase: Preprocessing 1
% 40.96/6.15
% 40.96/6.15 % (13522)Memory used [KB]: 17526
% 40.96/6.15 % (13522)Time elapsed: 0.064 s
% 40.96/6.15 % (13522)Instructions burned: 134 (million)
% 40.96/6.15 % (13522)------------------------------
% 40.96/6.15 % (13522)------------------------------
% 40.96/6.19 % (13531)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=1452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/1452Mi)
% 41.50/6.21 % (13527)Instruction limit reached!
% 41.50/6.21 % (13527)------------------------------
% 41.50/6.21 % (13527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.50/6.21 % (13527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.50/6.21 % (13527)Termination reason: Unknown
% 41.50/6.21 % (13527)Termination phase: Preprocessing 1
% 41.50/6.21
% 41.50/6.21 % (13527)Memory used [KB]: 12025
% 41.50/6.21 % (13527)Time elapsed: 0.058 s
% 41.50/6.21 % (13527)Instructions burned: 131 (million)
% 41.50/6.21 % (13527)------------------------------
% 41.50/6.21 % (13527)------------------------------
% 41.50/6.23 % (13528)Instruction limit reached!
% 41.50/6.23 % (13528)------------------------------
% 41.50/6.23 % (13528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.50/6.23 % (13528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.50/6.23 % (13528)Termination reason: Unknown
% 41.50/6.23 % (13528)Termination phase: Preprocessing 1
% 41.50/6.23
% 41.50/6.23 % (13528)Memory used [KB]: 10874
% 41.50/6.23 % (13528)Time elapsed: 0.064 s
% 41.50/6.23 % (13528)Instructions burned: 155 (million)
% 41.50/6.23 % (13528)------------------------------
% 41.50/6.23 % (13528)------------------------------
% 41.50/6.25 % (13532)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/2772Mi)
% 41.50/6.26 % (13533)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/3180Mi)
% 41.50/6.26 % (13516)Instruction limit reached!
% 41.50/6.26 % (13516)------------------------------
% 41.50/6.26 % (13516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.50/6.26 % (13516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.50/6.26 % (13516)Termination reason: Unknown
% 41.50/6.26 % (13516)Termination phase: Preprocessing 3
% 41.50/6.26
% 41.50/6.26 % (13516)Memory used [KB]: 25074
% 41.50/6.26 % (13516)Time elapsed: 0.201 s
% 41.50/6.26 % (13516)Instructions burned: 473 (million)
% 41.50/6.26 % (13516)------------------------------
% 41.50/6.26 % (13516)------------------------------
% 42.27/6.32 % (13534)dis+1010_1:1_aac=none:anc=all:bs=on:erd=off:etr=on:flr=on:gsp=on:lcm=reverse:nm=5:nwc=3.0:sac=on:sfv=off:skr=on:sp=reverse_arity:urr=on:uwa=interpreted_only:i=1043:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/1043Mi)
% 42.27/6.33 % (13536)lrs+10_2:1_av=off:bsd=on:fd=off:nm=0:nwc=2.0:spb=goal:to=lpo:urr=on:i=604:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/604Mi)
% 42.27/6.34 % (13535)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/561Mi)
% 42.27/6.39 % (13518)Instruction limit reached!
% 42.27/6.39 % (13518)------------------------------
% 42.27/6.39 % (13518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.27/6.39 % (13518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.27/6.39 % (13518)Termination reason: Unknown
% 42.27/6.39 % (13518)Termination phase: Preprocessing 3
% 42.27/6.39
% 42.27/6.39 % (13518)Memory used [KB]: 22003
% 42.27/6.39 % (13518)Time elapsed: 0.189 s
% 42.27/6.39 % (13518)Instructions burned: 451 (million)
% 42.27/6.39 % (13518)------------------------------
% 42.27/6.39 % (13518)------------------------------
% 43.67/6.42 % (13537)lrs+10_1:16_br=off:fde=none:ins=1:nwc=3.0:sos=on:ss=axioms:urr=on:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/234Mi)
% 43.67/6.46 % (13521)Instruction limit reached!
% 43.67/6.46 % (13521)------------------------------
% 43.67/6.46 % (13521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.67/6.46 % (13521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.67/6.46 % (13521)Termination reason: Unknown
% 43.67/6.46 % (13521)Termination phase: Preprocessing 3
% 43.67/6.46
% 43.67/6.46 % (13521)Memory used [KB]: 23155
% 43.67/6.46 % (13521)Time elapsed: 0.164 s
% 43.67/6.46 % (13521)Instructions burned: 372 (million)
% 43.67/6.46 % (13521)------------------------------
% 43.67/6.46 % (13521)------------------------------
% 44.44/6.51 % (13520)Instruction limit reached!
% 44.44/6.51 % (13520)------------------------------
% 44.44/6.51 % (13520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.44/6.51 % (13520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.44/6.51 % (13520)Termination reason: Unknown
% 44.44/6.51 % (13520)Termination phase: NewCNF
% 44.44/6.51
% 44.44/6.51 % (13520)Memory used [KB]: 22515
% 44.44/6.51 % (13520)Time elapsed: 0.203 s
% 44.44/6.51 % (13520)Instructions burned: 497 (million)
% 44.44/6.51 % (13520)------------------------------
% 44.44/6.51 % (13520)------------------------------
% 44.44/6.53 % (13538)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2939ds/109Mi)
% 44.44/6.56 % (13523)Instruction limit reached!
% 44.44/6.56 % (13523)------------------------------
% 44.44/6.56 % (13523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.44/6.56 % (13523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.44/6.56 % (13523)Termination reason: Unknown
% 44.44/6.56 % (13523)Termination phase: Preprocessing 3
% 44.44/6.56
% 44.44/6.56 % (13523)Memory used [KB]: 23666
% 44.44/6.56 % (13523)Time elapsed: 0.175 s
% 44.44/6.56 % (13523)Instructions burned: 402 (million)
% 44.44/6.56 % (13523)------------------------------
% 44.44/6.56 % (13523)------------------------------
% 44.44/6.57 % (13530)Instruction limit reached!
% 44.44/6.57 % (13530)------------------------------
% 44.44/6.57 % (13530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.44/6.57 % (13530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.44/6.57 % (13530)Termination reason: Unknown
% 44.44/6.57 % (13530)Termination phase: Preprocessing 3
% 44.44/6.57
% 44.44/6.57 % (13530)Memory used [KB]: 21236
% 44.44/6.57 % (13530)Time elapsed: 0.118 s
% 44.44/6.57 % (13530)Instructions burned: 256 (million)
% 44.44/6.57 % (13530)------------------------------
% 44.44/6.57 % (13530)------------------------------
% 44.44/6.57 % (13525)Instruction limit reached!
% 44.44/6.57 % (13525)------------------------------
% 44.44/6.57 % (13525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.44/6.57 % (13525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.44/6.57 % (13525)Termination reason: Unknown
% 44.44/6.57 % (13525)Termination phase: Preprocessing 3
% 44.44/6.57
% 44.44/6.57 % (13525)Memory used [KB]: 22259
% 44.44/6.57 % (13525)Time elapsed: 0.172 s
% 44.44/6.57 % (13525)Instructions burned: 393 (million)
% 44.44/6.57 % (13525)------------------------------
% 44.44/6.57 % (13525)------------------------------
% 44.44/6.58 % (13506)Instruction limit reached!
% 44.44/6.58 % (13506)------------------------------
% 44.44/6.58 % (13506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.44/6.58 % (13506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.44/6.58 % (13506)Termination reason: Unknown
% 44.44/6.58 % (13506)Termination phase: Property scanning
% 44.44/6.58
% 44.44/6.58 % (13506)Memory used [KB]: 35180
% 44.44/6.58 % (13506)Time elapsed: 1.292 s
% 44.44/6.58 % (13506)Instructions burned: 1275 (million)
% 44.44/6.58 % (13506)------------------------------
% 44.44/6.58 % (13506)------------------------------
% 45.18/6.62 % (13539)ott+10_13:991_awrs=decay:awrsf=1:bd=preordered:drc=off:fd=preordered:sp=const_frequency:spb=goal_then_units:uwa=all:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/360Mi)
% 45.18/6.66 % (13540)dis+1003_1:1_bce=on:fs=off:fsr=off:gs=on:newcnf=on:plsq=on:plsqr=32,1:skr=on:sos=on:sp=frequency:spb=units:i=660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/660Mi)
% 45.75/6.69 % (13538)Instruction limit reached!
% 45.75/6.69 % (13538)------------------------------
% 45.75/6.69 % (13538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.75/6.69 % (13538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.75/6.69 % (13538)Termination reason: Unknown
% 45.75/6.69 % (13538)Termination phase: Preprocessing 1
% 45.75/6.69
% 45.75/6.69 % (13538)Memory used [KB]: 11257
% 45.75/6.69 % (13538)Time elapsed: 0.050 s
% 45.75/6.69 % (13538)Instructions burned: 109 (million)
% 45.75/6.69 % (13538)------------------------------
% 45.75/6.69 % (13538)------------------------------
% 45.75/6.70 % (13517)Instruction limit reached!
% 45.75/6.70 % (13517)------------------------------
% 45.75/6.70 % (13517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.75/6.70 % (13517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.75/6.70 % (13517)Termination reason: Unknown
% 45.75/6.70 % (13517)Termination phase: Preprocessing 3
% 45.75/6.70
% 45.75/6.70 % (13517)Memory used [KB]: 33645
% 45.75/6.70 % (13517)Time elapsed: 0.286 s
% 45.75/6.70 % (13517)Instructions burned: 690 (million)
% 45.75/6.70 % (13517)------------------------------
% 45.75/6.70 % (13517)------------------------------
% 45.75/6.71 % (13542)dis+1011_39044:804583_anc=all:avsq=on:avsqr=302,909:awrs=decay:awrsf=20:bd=off:bsr=on:cond=on:gsp=on:nm=0:nwc=2.0:plsq=on:plsqr=9,13:s2a=on:s2agt=16:sac=on:thsq=on:thsqc=32:thsqd=32:thsql=off:to=lpo:updr=off:uwa=all:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/1174Mi)
% 45.75/6.72 % (13541)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=982:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/982Mi)
% 45.75/6.73 % (13544)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/248Mi)
% 45.75/6.74 % (13501)Instruction limit reached!
% 45.75/6.74 % (13501)------------------------------
% 45.75/6.74 % (13501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.75/6.74 % (13501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.75/6.74 % (13501)Termination reason: Unknown
% 45.75/6.74 % (13501)Termination phase: Property scanning
% 45.75/6.74
% 45.75/6.74 % (13501)Memory used [KB]: 34924
% 45.75/6.74 % (13501)Time elapsed: 0.524 s
% 45.75/6.74 % (13501)Instructions burned: 1538 (million)
% 45.75/6.74 % (13501)------------------------------
% 45.75/6.74 % (13501)------------------------------
% 45.75/6.74 % (13543)dis+1003_1:128_avsq=on:bce=on:newcnf=on:urr=on:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/91Mi)
% 46.36/6.79 % (13537)Instruction limit reached!
% 46.36/6.79 % (13537)------------------------------
% 46.36/6.79 % (13537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.36/6.79 % (13537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.36/6.79 % (13537)Termination reason: Unknown
% 46.36/6.79 % (13537)Termination phase: Preprocessing 3
% 46.36/6.79
% 46.36/6.79 % (13537)Memory used [KB]: 16886
% 46.36/6.79 % (13537)Time elapsed: 0.103 s
% 46.36/6.79 % (13537)Instructions burned: 235 (million)
% 46.36/6.79 % (13537)------------------------------
% 46.36/6.79 % (13537)------------------------------
% 46.50/6.81 % (13545)fmb+10_1:1_fde=unused:fmbas=predicate:gsp=on:newcnf=on:nm=0:i=1985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/1985Mi)
% 46.50/6.86 % (13459)Instruction limit reached!
% 46.50/6.86 % (13459)------------------------------
% 46.50/6.86 % (13459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.50/6.86 % (13459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.50/6.86 % (13459)Termination reason: Unknown
% 46.50/6.86 % (13459)Termination phase: Property scanning
% 46.50/6.86
% 46.50/6.86 % (13459)Memory used [KB]: 26737
% 46.50/6.86 % (13459)Time elapsed: 1.116 s
% 46.50/6.86 % (13459)Instructions burned: 3646 (million)
% 46.50/6.86 % (13459)------------------------------
% 46.50/6.86 % (13459)------------------------------
% 46.50/6.89 % (13546)lrs+1002_1:1_sd=2:sos=on:ss=axioms:st=5.0:i=555:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/555Mi)
% 46.50/6.89 % (13547)lrs+1011_2:1_add=off:amm=sco:anc=none:br=off:sd=1:sos=all:ss=axioms:st=1.5:updr=off:urr=on:i=484:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/484Mi)
% 46.50/6.90 % (13455)Instruction limit reached!
% 46.50/6.90 % (13455)------------------------------
% 46.50/6.90 % (13455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.50/6.90 % (13455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.50/6.90 % (13455)Termination reason: Unknown
% 46.50/6.90 % (13455)Termination phase: Saturation
% 46.50/6.90
% 46.50/6.90 % (13455)Memory used [KB]: 45415
% 46.50/6.90 % (13455)Time elapsed: 3.935 s
% 46.50/6.90 % (13455)Instructions burned: 3042 (million)
% 46.50/6.90 % (13455)------------------------------
% 46.50/6.90 % (13455)------------------------------
% 46.50/6.90 % (13543)Instruction limit reached!
% 46.50/6.90 % (13543)------------------------------
% 46.50/6.90 % (13543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.50/6.90 % (13543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.50/6.90 % (13543)Termination reason: Unknown
% 46.50/6.90 % (13543)Termination phase: Preprocessing 1
% 46.50/6.90
% 46.50/6.90 % (13543)Memory used [KB]: 15863
% 46.50/6.90 % (13543)Time elapsed: 0.046 s
% 46.50/6.90 % (13543)Instructions burned: 93 (million)
% 46.50/6.90 % (13543)------------------------------
% 46.50/6.90 % (13543)------------------------------
% 47.12/6.93 % (13535)Instruction limit reached!
% 47.12/6.93 % (13535)------------------------------
% 47.12/6.93 % (13535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.12/6.93 % (13535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.12/6.93 % (13535)Termination reason: Unknown
% 47.12/6.93 % (13535)Termination phase: Preprocessing 3
% 47.12/6.93
% 47.12/6.93 % (13535)Memory used [KB]: 30703
% 47.12/6.93 % (13535)Time elapsed: 0.227 s
% 47.12/6.93 % (13535)Instructions burned: 562 (million)
% 47.12/6.93 % (13535)------------------------------
% 47.12/6.93 % (13535)------------------------------
% 47.12/6.95 % (13548)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=362:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/362Mi)
% 47.12/6.96 % (13511)Instruction limit reached!
% 47.12/6.96 % (13511)------------------------------
% 47.12/6.96 % (13511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.12/6.96 % (13511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.12/6.96 % (13511)Termination reason: Unknown
% 47.12/6.96 % (13511)Termination phase: Property scanning
% 47.12/6.96
% 47.12/6.96 % (13511)Memory used [KB]: 34796
% 47.12/6.96 % (13511)Time elapsed: 0.420 s
% 47.12/6.96 % (13511)Instructions burned: 1116 (million)
% 47.12/6.96 % (13511)------------------------------
% 47.12/6.96 % (13511)------------------------------
% 47.53/7.03 % (13550)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/121Mi)
% 47.53/7.04 % (13549)ott+11_4:1_br=off:fde=unused:nm=16:s2a=on:sd=3:sp=frequency:ss=axioms:urr=on:i=5368:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/5368Mi)
% 47.53/7.04 % (13552)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=6912:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/6912Mi)
% 47.53/7.08 % (13544)Instruction limit reached!
% 47.53/7.08 % (13544)------------------------------
% 47.53/7.08 % (13544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.53/7.08 % (13544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.53/7.08 % (13544)Termination reason: Unknown
% 47.53/7.08 % (13544)Termination phase: Preprocessing 3
% 47.53/7.08
% 47.53/7.08 % (13544)Memory used [KB]: 13304
% 47.53/7.08 % (13544)Time elapsed: 0.106 s
% 47.53/7.08 % (13544)Instructions burned: 249 (million)
% 47.53/7.08 % (13544)------------------------------
% 47.53/7.08 % (13544)------------------------------
% 47.53/7.08 % (13529)Instruction limit reached!
% 47.53/7.08 % (13529)------------------------------
% 47.53/7.08 % (13529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.53/7.08 % (13529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.53/7.08 % (13529)Termination reason: Unknown
% 47.53/7.08 % (13529)Termination phase: Preprocessing 3
% 47.53/7.08
% 47.53/7.08 % (13529)Memory used [KB]: 33261
% 47.53/7.08 % (13529)Time elapsed: 0.278 s
% 47.53/7.08 % (13529)Instructions burned: 670 (million)
% 47.53/7.08 % (13529)------------------------------
% 47.53/7.08 % (13529)------------------------------
% 48.02/7.09 % (13553)dis+10_3:2_br=off:sas=z3:sd=3:sos=all:ss=axioms:st=3.0:urr=on:i=525:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/525Mi)
% 48.02/7.10 % (13551)lrs+1011_1:1_afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=off:irw=on:lma=on:sd=2:sos=all:sp=const_min:ss=axioms:stl=40:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/256Mi)
% 48.02/7.18 % (13539)Instruction limit reached!
% 48.02/7.18 % (13539)------------------------------
% 48.02/7.18 % (13539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.02/7.18 % (13539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.02/7.18 % (13539)Termination reason: Unknown
% 48.02/7.18 % (13539)Termination phase: Preprocessing 3
% 48.02/7.18
% 48.02/7.18 % (13539)Memory used [KB]: 23155
% 48.02/7.18 % (13539)Time elapsed: 0.160 s
% 48.02/7.18 % (13539)Instructions burned: 361 (million)
% 48.02/7.18 % (13539)------------------------------
% 48.02/7.18 % (13539)------------------------------
% 48.40/7.19 % (13536)Instruction limit reached!
% 48.40/7.19 % (13536)------------------------------
% 48.40/7.19 % (13536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.40/7.19 % (13536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.40/7.19 % (13536)Termination reason: Unknown
% 48.40/7.19 % (13536)Termination phase: Preprocessing 3
% 48.40/7.19
% 48.40/7.19 % (13536)Memory used [KB]: 31854
% 48.40/7.19 % (13536)Time elapsed: 0.249 s
% 48.40/7.19 % (13536)Instructions burned: 605 (million)
% 48.40/7.19 % (13536)------------------------------
% 48.40/7.19 % (13536)------------------------------
% 48.40/7.20 % (13550)Instruction limit reached!
% 48.40/7.20 % (13550)------------------------------
% 48.40/7.20 % (13550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.40/7.20 % (13550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.40/7.20 % (13550)Termination reason: Unknown
% 48.40/7.20 % (13550)Termination phase: Preprocessing 1
% 48.40/7.20
% 48.40/7.20 % (13550)Memory used [KB]: 10746
% 48.40/7.20 % (13550)Time elapsed: 0.051 s
% 48.40/7.20 % (13550)Instructions burned: 121 (million)
% 48.40/7.20 % (13550)------------------------------
% 48.40/7.20 % (13550)------------------------------
% 50.10/7.22 % (13555)dis+1011_1:1_av=off:ep=RSTC:rp=on:sos=on:i=723:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/723Mi)
% 50.10/7.23 % (13496)Instruction limit reached!
% 50.10/7.23 % (13496)------------------------------
% 50.10/7.23 % (13496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.10/7.23 % (13496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.10/7.23 % (13496)Termination reason: Unknown
% 50.10/7.23 % (13496)Termination phase: Saturation
% 50.10/7.23
% 50.10/7.23 % (13496)Memory used [KB]: 44263
% 50.10/7.23 % (13496)Time elapsed: 2.236 s
% 50.10/7.23 % (13496)Instructions burned: 2016 (million)
% 50.10/7.23 % (13496)------------------------------
% 50.10/7.23 % (13496)------------------------------
% 50.10/7.23 % (13554)lrs+1002_1:1_amm=off:cond=on:sd=3:sos=on:ss=axioms:st=1.5:i=600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/600Mi)
% 50.79/7.34 % (13557)lrs+10_1:1_av=off:gs=on:sd=2:sos=all:ss=axioms:st=2.0:i=873:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/873Mi)
% 50.79/7.35 % (13556)lrs+1002_1:1_bd=off:sd=2:sos=on:ss=axioms:st=2.0:i=4344:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/4344Mi)
% 50.79/7.35 % (13558)lrs+1010_1:128_nm=2:i=973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/973Mi)
% 51.37/7.41 % (13559)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/98Mi)
% 51.37/7.43 % (13551)Instruction limit reached!
% 51.37/7.43 % (13551)------------------------------
% 51.37/7.43 % (13551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.37/7.43 % (13551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.37/7.43 % (13551)Termination reason: Unknown
% 51.37/7.43 % (13551)Termination phase: Property scanning
% 51.37/7.43
% 51.37/7.43 % (13551)Memory used [KB]: 13688
% 51.37/7.43 % (13551)Time elapsed: 0.286 s
% 51.37/7.43 % (13551)Instructions burned: 256 (million)
% 51.37/7.43 % (13551)------------------------------
% 51.37/7.43 % (13551)------------------------------
% 51.37/7.45 % (13548)Instruction limit reached!
% 51.37/7.45 % (13548)------------------------------
% 51.37/7.45 % (13548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.37/7.45 % (13548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.37/7.45 % (13548)Termination reason: Unknown
% 51.37/7.45 % (13548)Termination phase: Preprocessing 3
% 51.37/7.45
% 51.37/7.45 % (13548)Memory used [KB]: 19829
% 51.37/7.45 % (13548)Time elapsed: 0.151 s
% 51.37/7.45 % (13548)Instructions burned: 363 (million)
% 51.37/7.45 % (13548)------------------------------
% 51.37/7.45 % (13548)------------------------------
% 51.96/7.56 % (13559)Instruction limit reached!
% 51.96/7.56 % (13559)------------------------------
% 51.96/7.56 % (13559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.96/7.56 % (13559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.96/7.56 % (13559)Termination reason: Unknown
% 51.96/7.56 % (13559)Termination phase: Preprocessing 1
% 51.96/7.56
% 51.96/7.56 % (13559)Memory used [KB]: 10618
% 51.96/7.56 % (13559)Time elapsed: 0.046 s
% 51.96/7.56 % (13559)Instructions burned: 99 (million)
% 51.96/7.56 % (13559)------------------------------
% 51.96/7.56 % (13559)------------------------------
% 51.96/7.56 % (13560)ins+10_1:1_igbrr=1.0:igpr=on:igrp=4000:igrpq=1.5:igs=1010:i=911:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/911Mi)
% 52.71/7.58 % (13540)Instruction limit reached!
% 52.71/7.58 % (13540)------------------------------
% 52.71/7.58 % (13540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.71/7.58 % (13540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.71/7.58 % (13540)Termination reason: Unknown
% 52.71/7.58 % (13540)Termination phase: NewCNF
% 52.71/7.58
% 52.71/7.58 % (13540)Memory used [KB]: 25713
% 52.71/7.58 % (13540)Time elapsed: 0.265 s
% 52.71/7.58 % (13540)Instructions burned: 660 (million)
% 52.71/7.58 % (13540)------------------------------
% 52.71/7.58 % (13540)------------------------------
% 52.96/7.62 % (13547)Instruction limit reached!
% 52.96/7.62 % (13547)------------------------------
% 52.96/7.62 % (13547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.96/7.62 % (13547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.96/7.62 % (13547)Termination reason: Unknown
% 52.96/7.62 % (13547)Termination phase: Saturation
% 52.96/7.62
% 52.96/7.62 % (13547)Memory used [KB]: 21748
% 52.96/7.62 % (13547)Time elapsed: 0.829 s
% 52.96/7.62 % (13547)Instructions burned: 484 (million)
% 52.96/7.62 % (13547)------------------------------
% 52.96/7.62 % (13547)------------------------------
% 52.96/7.64 % (13561)lrs+10_1:1024_aac=none:acc=model:anc=all_dependent:avsq=on:avsqc=1:avsqr=9,4:drc=off:fd=preordered:sac=on:urr=ec_only:i=3342:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/3342Mi)
% 52.96/7.71 % (13562)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=3417:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/3417Mi)
% 53.56/7.72 % (13546)Instruction limit reached!
% 53.56/7.72 % (13546)------------------------------
% 53.56/7.72 % (13546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.56/7.72 % (13546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.56/7.72 % (13546)Termination reason: Unknown
% 53.56/7.72 % (13546)Termination phase: Preprocessing 3
% 53.56/7.72
% 53.56/7.72 % (13546)Memory used [KB]: 23794
% 53.56/7.72 % (13546)Time elapsed: 0.230 s
% 53.56/7.72 % (13546)Instructions burned: 556 (million)
% 53.56/7.72 % (13546)------------------------------
% 53.56/7.72 % (13546)------------------------------
% 53.56/7.73 % (13493)Instruction limit reached!
% 53.56/7.73 % (13493)------------------------------
% 53.56/7.73 % (13493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.56/7.73 % (13493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.56/7.73 % (13493)Termination reason: Unknown
% 53.56/7.73 % (13493)Termination phase: Property scanning
% 53.56/7.73
% 53.56/7.73 % (13493)Memory used [KB]: 27632
% 53.56/7.73 % (13493)Time elapsed: 0.886 s
% 53.56/7.73 % (13493)Instructions burned: 2849 (million)
% 53.56/7.73 % (13493)------------------------------
% 53.56/7.73 % (13493)------------------------------
% 53.56/7.73 % (13534)Instruction limit reached!
% 53.56/7.73 % (13534)------------------------------
% 53.56/7.73 % (13534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.56/7.73 % (13534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.56/7.73 % (13534)Termination reason: Unknown
% 53.56/7.73 % (13534)Termination phase: Property scanning
% 53.56/7.73
% 53.56/7.73 % (13534)Memory used [KB]: 35948
% 53.56/7.73 % (13534)Time elapsed: 0.426 s
% 53.56/7.73 % (13534)Instructions burned: 1044 (million)
% 53.56/7.73 % (13534)------------------------------
% 53.56/7.73 % (13534)------------------------------
% 53.56/7.74 % (13563)lrs+1011_1:64_fsd=on:nwc=2.0:ss=included:st=3.0:i=446:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/446Mi)
% 53.56/7.75 % (13441)Instruction limit reached!
% 53.56/7.75 % (13441)------------------------------
% 53.56/7.75 % (13441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.56/7.75 % (13441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.56/7.75 % (13441)Termination reason: Unknown
% 53.56/7.75 % (13441)Termination phase: Saturation
% 53.56/7.75
% 53.56/7.75 % (13441)Memory used [KB]: 33901
% 53.56/7.75 % (13441)Time elapsed: 4.119 s
% 53.56/7.75 % (13441)Instructions burned: 3303 (million)
% 53.56/7.75 % (13441)------------------------------
% 53.56/7.75 % (13441)------------------------------
% 54.02/7.81 % (13564)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=301:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/301Mi)
% 54.02/7.88 % (13566)lrs+1002_1:7_sos=on:i=1851:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/1851Mi)
% 54.40/7.88 % (13565)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/480Mi)
% 54.40/7.88 % (13567)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/598Mi)
% 54.40/7.89 % (13568)ott+10_1:1_br=off:fd=off:fde=unused:s2a=on:sd=2:sos=all:ss=axioms:st=2.0:to=lpo:urr=on:i=2282:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/2282Mi)
% 54.40/7.92 % (13553)Instruction limit reached!
% 54.40/7.92 % (13553)------------------------------
% 54.40/7.92 % (13553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.40/7.92 % (13553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.40/7.92 % (13553)Termination reason: Unknown
% 54.40/7.92 % (13553)Termination phase: Preprocessing 3
% 54.40/7.92
% 54.40/7.92 % (13553)Memory used [KB]: 23027
% 54.40/7.92 % (13553)Time elapsed: 0.221 s
% 54.40/7.92 % (13553)Instructions burned: 527 (million)
% 54.40/7.92 % (13553)------------------------------
% 54.40/7.92 % (13553)------------------------------
% 54.40/7.95 % (13531)Instruction limit reached!
% 54.40/7.95 % (13531)------------------------------
% 54.40/7.95 % (13531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.40/7.95 % (13531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.40/7.95 % (13531)Termination reason: Unknown
% 54.40/7.95 % (13531)Termination phase: Property scanning
% 54.40/7.95
% 54.40/7.95 % (13531)Memory used [KB]: 35052
% 54.40/7.95 % (13531)Time elapsed: 0.498 s
% 54.40/7.95 % (13531)Instructions burned: 1453 (million)
% 54.40/7.95 % (13531)------------------------------
% 54.40/7.95 % (13531)------------------------------
% 54.40/7.98 % (13541)Instruction limit reached!
% 54.40/7.98 % (13541)------------------------------
% 54.40/7.98 % (13541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.40/7.98 % (13541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.40/7.98 % (13541)Termination reason: Unknown
% 54.40/7.98 % (13541)Termination phase: Property scanning
% 54.40/7.98
% 54.40/7.98 % (13541)Memory used [KB]: 34924
% 54.40/7.98 % (13541)Time elapsed: 0.368 s
% 54.40/7.98 % (13541)Instructions burned: 982 (million)
% 54.40/7.98 % (13541)------------------------------
% 54.40/7.98 % (13541)------------------------------
% 56.54/8.03 % (13542)Instruction limit reached!
% 56.54/8.03 % (13542)------------------------------
% 56.54/8.03 % (13542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.54/8.03 % (13542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.54/8.03 % (13542)Termination reason: Unknown
% 56.54/8.03 % (13542)Termination phase: Property scanning
% 56.54/8.03
% 56.54/8.03 % (13542)Memory used [KB]: 36076
% 56.54/8.03 % (13542)Time elapsed: 1.177 s
% 56.54/8.03 % (13542)Instructions burned: 1174 (million)
% 56.54/8.03 % (13542)------------------------------
% 56.54/8.03 % (13542)------------------------------
% 56.54/8.06 % (13569)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=2179:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/2179Mi)
% 56.54/8.09 % (13570)dis+1010_1:7_awrs=converge:bd=preordered:fsr=off:ins=1:s2a=on:sos=on:i=595:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/595Mi)
% 56.54/8.09 % (13554)Instruction limit reached!
% 56.54/8.09 % (13554)------------------------------
% 56.54/8.09 % (13554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.54/8.09 % (13554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.54/8.09 % (13554)Termination reason: Unknown
% 56.54/8.09 % (13554)Termination phase: Property scanning
% 56.54/8.09
% 56.54/8.09 % (13554)Memory used [KB]: 22387
% 56.54/8.09 % (13554)Time elapsed: 0.254 s
% 56.54/8.09 % (13554)Instructions burned: 600 (million)
% 56.54/8.09 % (13554)------------------------------
% 56.54/8.09 % (13554)------------------------------
% 57.25/8.12 % (13571)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=776:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/776Mi)
% 57.25/8.16 % (13524)Instruction limit reached!
% 57.25/8.16 % (13524)------------------------------
% 57.25/8.16 % (13524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.25/8.16 % (13524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.25/8.16 % (13524)Termination reason: Unknown
% 57.25/8.16 % (13524)Termination phase: General splitting
% 57.25/8.16
% 57.25/8.16 % (13524)Memory used [KB]: 35308
% 57.25/8.16 % (13524)Time elapsed: 0.634 s
% 57.25/8.16 % (13524)Instructions burned: 1881 (million)
% 57.25/8.16 % (13524)------------------------------
% 57.25/8.16 % (13524)------------------------------
% 57.25/8.18 % (13572)lrs+10_1:1_bce=on:ep=RST:gsp=on:sd=1:sos=on:ss=axioms:urr=on:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/138Mi)
% 57.74/8.26 % (13555)Instruction limit reached!
% 57.74/8.26 % (13555)------------------------------
% 57.74/8.26 % (13555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.74/8.26 % (13555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.74/8.26 % (13555)Termination reason: Unknown
% 57.74/8.26 % (13555)Termination phase: Property scanning
% 57.74/8.26
% 57.74/8.26 % (13555)Memory used [KB]: 35052
% 57.74/8.26 % (13555)Time elapsed: 0.299 s
% 57.74/8.26 % (13555)Instructions burned: 723 (million)
% 57.74/8.26 % (13555)------------------------------
% 57.74/8.26 % (13555)------------------------------
% 58.33/8.27 % (13564)Instruction limit reached!
% 58.33/8.27 % (13564)------------------------------
% 58.33/8.27 % (13564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.33/8.27 % (13564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.33/8.27 % (13564)Termination reason: Unknown
% 58.33/8.27 % (13564)Termination phase: Preprocessing 3
% 58.33/8.27
% 58.33/8.27 % (13564)Memory used [KB]: 22131
% 58.33/8.27 % (13564)Time elapsed: 0.135 s
% 58.33/8.27 % (13564)Instructions burned: 301 (million)
% 58.33/8.27 % (13564)------------------------------
% 58.33/8.27 % (13564)------------------------------
% 58.58/8.32 % (13574)lrs+1010_10:13_abs=on:amm=off:anc=none:avsq=on:avsqc=1:avsqr=12,23:bsr=on:cond=on:drc=off:fd=preordered:fde=none:flr=on:fsr=off:gs=on:gsaa=full_model:gsem=off:ins=3:lcm=reverse:nwc=5.0:sas=z3:sims=off:skr=on:sos=on:sp=frequency:spb=units:to=lpo:updr=off:urr=on:i=774:si=on:rawr=on:rtra=on_0 on theBenchmark for (2921ds/774Mi)
% 58.74/8.35 % (13573)lrs+1002_1:1_aac=none:avsq=on:avsqc=1:bd=off:newcnf=on:nm=4:nwc=5.0:s2a=on:sac=on:i=1679:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/1679Mi)
% 58.74/8.38 % (13572)Instruction limit reached!
% 58.74/8.38 % (13572)------------------------------
% 58.74/8.38 % (13572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.74/8.38 % (13572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.74/8.38 % (13572)Termination reason: Unknown
% 58.74/8.38 % (13572)Termination phase: General splitting
% 58.74/8.38
% 58.74/8.38 % (13572)Memory used [KB]: 11129
% 58.74/8.38 % (13572)Time elapsed: 0.059 s
% 58.74/8.38 % (13572)Instructions burned: 140 (million)
% 58.74/8.38 % (13572)------------------------------
% 58.74/8.38 % (13572)------------------------------
% 58.74/8.38 % (13563)Instruction limit reached!
% 58.74/8.38 % (13563)------------------------------
% 58.74/8.38 % (13563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.74/8.38 % (13563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.74/8.38 % (13563)Termination reason: Unknown
% 58.74/8.38 % (13563)Termination phase: Preprocessing 3
% 58.74/8.38
% 58.74/8.38 % (13563)Memory used [KB]: 22387
% 58.74/8.38 % (13563)Time elapsed: 0.187 s
% 58.74/8.38 % (13563)Instructions burned: 446 (million)
% 58.74/8.38 % (13563)------------------------------
% 58.74/8.38 % (13563)------------------------------
% 58.74/8.39 % (13575)dis+10_1:1_av=off:ep=R:erd=off:gsp=on:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:spb=goal_then_units:to=lpo:i=936:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/936Mi)
% 58.74/8.41 % (13576)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/167Mi)
% 59.86/8.52 % (13577)dis+10_1:1024_awrs=converge:s2a=on:s2at=3.0:ss=included:st=1.5:urr=on:i=557:si=on:rawr=on:rtra=on_0 on theBenchmark for (2919ds/557Mi)
% 59.86/8.53 % (13466)Instruction limit reached!
% 59.86/8.53 % (13466)------------------------------
% 59.86/8.53 % (13466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.86/8.53 % (13466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.86/8.53 % (13466)Termination reason: Unknown
% 59.86/8.53 % (13466)Termination phase: Saturation
% 59.86/8.53
% 59.86/8.53 % (13466)Memory used [KB]: 38762
% 59.86/8.53 % (13466)Time elapsed: 5.276 s
% 59.86/8.53 % (13466)Instructions burned: 3380 (million)
% 59.86/8.53 % (13466)------------------------------
% 59.86/8.53 % (13466)------------------------------
% 59.86/8.56 % (13565)Instruction limit reached!
% 59.86/8.56 % (13565)------------------------------
% 59.86/8.56 % (13565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.86/8.56 % (13565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.86/8.56 % (13565)Termination reason: Unknown
% 59.86/8.56 % (13565)Termination phase: Preprocessing 3
% 59.86/8.56
% 59.86/8.56 % (13565)Memory used [KB]: 22771
% 59.86/8.56 % (13565)Time elapsed: 0.198 s
% 59.86/8.56 % (13565)Instructions burned: 481 (million)
% 59.86/8.56 % (13565)------------------------------
% 59.86/8.56 % (13565)------------------------------
% 59.86/8.57 % (13578)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2919ds/258Mi)
% 61.28/8.62 % (13558)Instruction limit reached!
% 61.28/8.62 % (13558)------------------------------
% 61.28/8.62 % (13558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.28/8.62 % (13558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.28/8.62 % (13558)Termination reason: Unknown
% 61.28/8.62 % (13558)Termination phase: Property scanning
% 61.28/8.62
% 61.28/8.62 % (13558)Memory used [KB]: 35948
% 61.28/8.62 % (13558)Time elapsed: 0.370 s
% 61.28/8.62 % (13558)Instructions burned: 975 (million)
% 61.28/8.62 % (13558)------------------------------
% 61.28/8.62 % (13558)------------------------------
% 61.34/8.64 % (13557)Instruction limit reached!
% 61.34/8.64 % (13557)------------------------------
% 61.34/8.64 % (13557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.34/8.64 % (13557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.34/8.64 % (13557)Termination reason: Unknown
% 61.34/8.64 % (13557)Termination phase: Saturation
% 61.34/8.64
% 61.34/8.64 % (13557)Memory used [KB]: 27249
% 61.34/8.64 % (13557)Time elapsed: 0.376 s
% 61.34/8.64 % (13557)Instructions burned: 875 (million)
% 61.34/8.64 % (13557)------------------------------
% 61.34/8.64 % (13557)------------------------------
% 61.34/8.65 % (13567)Instruction limit reached!
% 61.34/8.65 % (13567)------------------------------
% 61.34/8.65 % (13567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.34/8.65 % (13567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.34/8.65 % (13567)Termination reason: Unknown
% 61.34/8.65 % (13567)Termination phase: Preprocessing 3
% 61.34/8.65
% 61.34/8.65 % (13567)Memory used [KB]: 23027
% 61.34/8.65 % (13567)Time elapsed: 0.625 s
% 61.34/8.65 % (13567)Instructions burned: 598 (million)
% 61.34/8.65 % (13567)------------------------------
% 61.34/8.65 % (13567)------------------------------
% 61.34/8.68 % (13579)dis+1011_1:2_abs=on:avsq=on:avsqc=2:bce=on:bsr=unit_only:cond=fast:ep=RS:erd=off:newcnf=on:s2a=on:urr=ec_only:i=941:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/941Mi)
% 61.91/8.71 % (13576)Instruction limit reached!
% 61.91/8.71 % (13576)------------------------------
% 61.91/8.71 % (13576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.91/8.71 % (13576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.91/8.71 % (13576)Termination reason: Unknown
% 61.91/8.71 % (13576)Termination phase: Preprocessing 2
% 61.91/8.71
% 61.91/8.71 % (13576)Memory used [KB]: 19445
% 61.91/8.71 % (13576)Time elapsed: 0.083 s
% 61.91/8.71 % (13576)Instructions burned: 168 (million)
% 61.91/8.71 % (13576)------------------------------
% 61.91/8.71 % (13576)------------------------------
% 61.91/8.72 % (13560)Instruction limit reached!
% 61.91/8.72 % (13560)------------------------------
% 61.91/8.72 % (13560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.91/8.72 % (13560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.91/8.72 % (13560)Termination reason: Unknown
% 61.91/8.72 % (13560)Termination phase: Property scanning
% 61.91/8.72
% 61.91/8.72 % (13560)Memory used [KB]: 35052
% 61.91/8.72 % (13560)Time elapsed: 0.356 s
% 61.91/8.72 % (13560)Instructions burned: 911 (million)
% 61.91/8.72 % (13560)------------------------------
% 61.91/8.72 % (13560)------------------------------
% 61.91/8.72 % (13580)dis+10_2:1_abs=on:fde=none:lcm=reverse:nwc=2.0:plsq=on:plsqc=1:plsql=on:plsqr=4095,256:s2a=on:sac=on:sp=reverse_arity:i=2311:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/2311Mi)
% 61.91/8.76 % (13581)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=190:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/190Mi)
% 61.91/8.77 % (13545)Instruction limit reached!
% 61.91/8.77 % (13545)------------------------------
% 61.91/8.77 % (13545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.91/8.77 % (13545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.91/8.77 % (13545)Termination reason: Unknown
% 61.91/8.77 % (13545)Termination phase: Property scanning
% 61.91/8.77
% 61.91/8.77 % (13545)Memory used [KB]: 33389
% 61.91/8.77 % (13545)Time elapsed: 0.660 s
% 61.91/8.77 % (13545)Instructions burned: 1986 (million)
% 61.91/8.77 % (13545)------------------------------
% 61.91/8.77 % (13545)------------------------------
% 62.44/8.78 % (13583)lrs+10_1:1_amm=off:br=off:nwc=5.0:sfv=off:sos=all:ss=axioms:to=lpo:urr=ec_only:i=305:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/305Mi)
% 62.44/8.78 % (13582)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=319:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/319Mi)
% 62.44/8.85 % (13584)lrs+1011_45163:73544_aac=none:abs=on:add=large:afr=on:alpa=false:amm=off:anc=none:avsq=on:avsqr=57,253:bs=on:bsr=unit_only:cond=fast:ep=R:fde=unused:gsp=on:mep=off:nwc=4.0:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=59173,778640:sp=occurrence:updr=off:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/125Mi)
% 62.96/8.88 % (13585)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=229:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/229Mi)
% 63.07/8.91 % (13586)lrs+10_1:1_bs=unit_only:drc=off:fd=preordered:foolp=on:nwc=5.0:plsq=on:plsql=on:s2a=on:s2at=3.0:sp=frequency:to=lpo:uwa=interpreted_only:i=835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/835Mi)
% 63.30/8.95 % (13570)Instruction limit reached!
% 63.30/8.95 % (13570)------------------------------
% 63.30/8.95 % (13570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.30/8.95 % (13570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.30/8.95 % (13570)Termination reason: Unknown
% 63.30/8.95 % (13570)Termination phase: Preprocessing 3
% 63.30/8.95
% 63.30/8.95 % (13570)Memory used [KB]: 25969
% 63.30/8.95 % (13570)Time elapsed: 0.246 s
% 63.30/8.95 % (13570)Instructions burned: 595 (million)
% 63.30/8.95 % (13570)------------------------------
% 63.30/8.95 % (13570)------------------------------
% 63.30/8.98 % (13578)Instruction limit reached!
% 63.30/8.98 % (13578)------------------------------
% 63.30/8.98 % (13578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.30/8.98 % (13578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.30/8.98 % (13578)Termination reason: Unknown
% 63.30/8.98 % (13578)Termination phase: NewCNF
% 63.30/8.98
% 63.30/8.98 % (13578)Memory used [KB]: 20084
% 63.30/8.98 % (13578)Time elapsed: 0.150 s
% 63.30/8.98 % (13578)Instructions burned: 258 (million)
% 63.30/8.98 % (13578)------------------------------
% 63.30/8.98 % (13578)------------------------------
% 63.79/9.05 % (13584)Instruction limit reached!
% 63.79/9.05 % (13584)------------------------------
% 63.79/9.05 % (13584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.79/9.05 % (13584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.79/9.05 % (13584)Termination reason: Unknown
% 63.79/9.05 % (13584)Termination phase: Preprocessing 1
% 63.79/9.05
% 63.79/9.05 % (13584)Memory used [KB]: 11769
% 63.79/9.05 % (13584)Time elapsed: 0.057 s
% 63.79/9.05 % (13584)Instructions burned: 126 (million)
% 63.79/9.05 % (13584)------------------------------
% 63.79/9.05 % (13584)------------------------------
% 63.79/9.08 % (13587)lrs+1002_1:1_afr=on:fde=none:newcnf=on:nwc=3.0:sas=z3:sos=all:spb=goal:ss=axioms:st=2.0:to=lpo:i=1618:si=on:rawr=on:rtra=on_0 on theBenchmark for (2914ds/1618Mi)
% 63.79/9.09 % (13581)Instruction limit reached!
% 63.79/9.09 % (13581)------------------------------
% 63.79/9.09 % (13581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.79/9.09 % (13581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.79/9.09 % (13581)Termination reason: Unknown
% 63.79/9.09 % (13581)Termination phase: Naming
% 63.79/9.09
% 63.79/9.09 % (13581)Memory used [KB]: 20084
% 63.79/9.09 % (13581)Time elapsed: 0.092 s
% 63.79/9.09 % (13581)Instructions burned: 192 (million)
% 63.79/9.09 % (13581)------------------------------
% 63.79/9.09 % (13581)------------------------------
% 65.01/9.14 % (13588)lrs+10_1:1_amm=off:br=off:bs=on:etr=on:fsd=on:newcnf=on:plsq=on:plsqc=2:plsql=on:s2a=on:s2at=3.0:sac=on:sd=2:sfv=off:sos=all:sp=frequency:ss=axioms:urr=on:i=592:si=on:rawr=on:rtra=on_0 on theBenchmark for (2913ds/592Mi)
% 65.01/9.18 % (13488)Instruction limit reached!
% 65.01/9.18 % (13488)------------------------------
% 65.01/9.18 % (13488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.01/9.18 % (13488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.01/9.18 % (13488)Termination reason: Unknown
% 65.01/9.18 % (13488)Termination phase: Saturation
% 65.01/9.18
% 65.01/9.18 % (13488)Memory used [KB]: 70745
% 65.01/9.18 % (13488)Time elapsed: 1.420 s
% 65.01/9.18 % (13488)Instructions burned: 3379 (million)
% 65.01/9.18 % (13488)------------------------------
% 65.01/9.18 % (13488)------------------------------
% 65.01/9.18 % (13582)Instruction limit reached!
% 65.01/9.18 % (13582)------------------------------
% 65.01/9.18 % (13582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.75/9.18 % (13582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.75/9.18 % (13582)Termination reason: Unknown
% 65.75/9.18 % (13582)Termination phase: Property scanning
% 65.75/9.18
% 65.75/9.18 % (13582)Memory used [KB]: 13944
% 65.75/9.18 % (13582)Time elapsed: 0.121 s
% 65.75/9.18 % (13582)Instructions burned: 321 (million)
% 65.75/9.18 % (13582)------------------------------
% 65.75/9.18 % (13582)------------------------------
% 65.75/9.20 % (13589)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=511:si=on:rawr=on:rtra=on_0 on theBenchmark for (2913ds/511Mi)
% 65.75/9.20 % (13583)Instruction limit reached!
% 65.75/9.20 % (13583)------------------------------
% 65.75/9.20 % (13583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.75/9.20 % (13583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.75/9.20 % (13583)Termination reason: Unknown
% 65.75/9.20 % (13583)Termination phase: Preprocessing 3
% 65.75/9.20
% 65.75/9.20 % (13583)Memory used [KB]: 18293
% 65.75/9.20 % (13583)Time elapsed: 0.358 s
% 65.75/9.20 % (13583)Instructions burned: 305 (million)
% 65.75/9.20 % (13583)------------------------------
% 65.75/9.20 % (13583)------------------------------
% 65.92/9.21 % (13590)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2912ds/131Mi)
% 66.05/9.22 % (13585)Instruction limit reached!
% 66.05/9.22 % (13585)------------------------------
% 66.05/9.22 % (13585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.05/9.22 % (13585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.05/9.22 % (13585)Termination reason: Unknown
% 66.05/9.22 % (13585)Termination phase: Preprocessing 3
% 66.05/9.22
% 66.05/9.22 % (13585)Memory used [KB]: 17398
% 66.05/9.22 % (13585)Time elapsed: 0.100 s
% 66.05/9.22 % (13585)Instructions burned: 229 (million)
% 66.05/9.22 % (13585)------------------------------
% 66.05/9.22 % (13585)------------------------------
% 66.05/9.22 % (13571)Instruction limit reached!
% 66.05/9.22 % (13571)------------------------------
% 66.05/9.22 % (13571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.05/9.22 % (13571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.05/9.22 % (13571)Termination reason: Unknown
% 66.05/9.22 % (13571)Termination phase: Property scanning
% 66.05/9.22
% 66.05/9.22 % (13571)Memory used [KB]: 33261
% 66.05/9.22 % (13571)Time elapsed: 0.317 s
% 66.05/9.22 % (13571)Instructions burned: 778 (million)
% 66.05/9.22 % (13571)------------------------------
% 66.05/9.22 % (13571)------------------------------
% 66.05/9.28 % (13532)Instruction limit reached!
% 66.05/9.28 % (13532)------------------------------
% 66.05/9.28 % (13532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.05/9.28 % (13532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.05/9.28 % (13532)Termination reason: Unknown
% 66.05/9.28 % (13532)Termination phase: Property scanning
% 66.05/9.28
% 66.05/9.28 % (13532)Memory used [KB]: 35308
% 66.05/9.28 % (13532)Time elapsed: 0.872 s
% 66.05/9.28 % (13532)Instructions burned: 2775 (million)
% 66.05/9.28 % (13532)------------------------------
% 66.05/9.28 % (13532)------------------------------
% 66.05/9.29 % (13503)First to succeed.
% 66.05/9.30 % (13577)Instruction limit reached!
% 66.05/9.30 % (13577)------------------------------
% 66.05/9.30 % (13577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.05/9.30 % (13577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.05/9.30 % (13577)Termination reason: Unknown
% 66.05/9.30 % (13577)Termination phase: Preprocessing 3
% 66.05/9.30
% 66.05/9.30 % (13577)Memory used [KB]: 21364
% 66.05/9.30 % (13577)Time elapsed: 0.227 s
% 66.05/9.30 % (13577)Instructions burned: 559 (million)
% 66.05/9.30 % (13577)------------------------------
% 66.05/9.30 % (13577)------------------------------
% 66.05/9.31 % (13591)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/154Mi)
% 66.74/9.32 % (13592)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=1003:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/1003Mi)
% 66.74/9.34 % (13593)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=1141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/1141Mi)
% 66.74/9.36 % (13594)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=8110:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/8110Mi)
% 66.74/9.37 % (13533)Instruction limit reached!
% 66.74/9.37 % (13533)------------------------------
% 66.74/9.37 % (13533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.74/9.37 % (13533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.74/9.37 % (13533)Termination reason: Unknown
% 66.74/9.37 % (13533)Termination phase: Saturation
% 66.74/9.37
% 66.74/9.37 % (13533)Memory used [KB]: 42728
% 66.74/9.37 % (13533)Time elapsed: 3.186 s
% 66.74/9.37 % (13533)Instructions burned: 3181 (million)
% 66.74/9.37 % (13533)------------------------------
% 66.74/9.37 % (13533)------------------------------
% 66.74/9.38 % (13595)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=12213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/12213Mi)
% 66.74/9.38 % (13574)Instruction limit reached!
% 66.74/9.38 % (13574)------------------------------
% 66.74/9.38 % (13574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.74/9.38 % (13574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.74/9.38 % (13574)Termination reason: Unknown
% 66.74/9.38 % (13574)Termination phase: Preprocessing 3
% 66.74/9.38
% 66.74/9.38 % (13574)Memory used [KB]: 32622
% 66.74/9.38 % (13574)Time elapsed: 0.311 s
% 66.74/9.38 % (13574)Instructions burned: 776 (million)
% 66.74/9.38 % (13574)------------------------------
% 66.74/9.38 % (13574)------------------------------
% 67.22/9.41 % (13590)Instruction limit reached!
% 67.22/9.41 % (13590)------------------------------
% 67.22/9.41 % (13590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.22/9.41 % (13590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.22/9.41 % (13590)Termination reason: Unknown
% 67.22/9.41 % (13590)Termination phase: Preprocessing 1
% 67.22/9.41
% 67.22/9.41 % (13590)Memory used [KB]: 11769
% 67.22/9.41 % (13590)Time elapsed: 0.058 s
% 67.22/9.41 % (13590)Instructions burned: 131 (million)
% 67.22/9.41 % (13590)------------------------------
% 67.22/9.41 % (13590)------------------------------
% 67.22/9.44 % (13596)dis+1011_1:1024_av=off:erd=off:fde=none:s2agt=32:slsq=on:slsqc=1:i=2082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/2082Mi)
% 67.22/9.45 % (13597)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/287Mi)
% 67.86/9.51 % (13600)lrs+10_1:4_av=off:bd=off:br=off:fsr=off:plsq=on:plsqr=20,11:s2a=on:urr=ec_only:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/3380Mi)
% 67.96/9.52 % (13598)lrs+10_1:1_br=off:nm=5:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=820:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/820Mi)
% 67.96/9.53 % (13591)Instruction limit reached!
% 67.96/9.53 % (13591)------------------------------
% 67.96/9.53 % (13591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.96/9.53 % (13591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.96/9.53 % (13591)Termination reason: Unknown
% 67.96/9.53 % (13591)Termination phase: Preprocessing 1
% 67.96/9.53
% 67.96/9.53 % (13591)Memory used [KB]: 11001
% 67.96/9.53 % (13591)Time elapsed: 0.066 s
% 67.96/9.53 % (13591)Instructions burned: 156 (million)
% 67.96/9.53 % (13591)------------------------------
% 67.96/9.53 % (13591)------------------------------
% 67.96/9.53 % (13599)lrs+22_1:1_av=off:bsr=unit_only:nwc=3.0:plsq=on:plsqc=1:plsql=on:plsqr=3695814,127453:s2a=on:s2at=2.0:slsq=on:slsqc=1:slsqr=4,3:tgt=full:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2909ds/980Mi)
% 67.96/9.61 % (13575)Instruction limit reached!
% 67.96/9.61 % (13575)------------------------------
% 67.96/9.61 % (13575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.56/9.62 % (13575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.56/9.62 % (13575)Termination reason: Unknown
% 68.56/9.62 % (13575)Termination phase: Property scanning
% 68.56/9.62
% 68.56/9.62 % (13575)Memory used [KB]: 35052
% 68.56/9.62 % (13575)Time elapsed: 0.378 s
% 68.56/9.62 % (13575)Instructions burned: 939 (million)
% 68.56/9.62 % (13575)------------------------------
% 68.56/9.62 % (13575)------------------------------
% 68.56/9.62 % (13503)Refutation found. Thanks to Tanya!
% 68.56/9.62 % SZS status Theorem for theBenchmark
% 68.56/9.62 % SZS output start Proof for theBenchmark
% See solution above
% 68.56/9.64 % (13503)------------------------------
% 68.56/9.64 % (13503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.56/9.64 % (13503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.56/9.64 % (13503)Termination reason: Refutation
% 68.56/9.64
% 68.56/9.64 % (13503)Memory used [KB]: 24178
% 68.56/9.64 % (13503)Time elapsed: 4.451 s
% 68.56/9.64 % (13503)Instructions burned: 3083 (million)
% 68.56/9.64 % (13503)------------------------------
% 68.56/9.64 % (13503)------------------------------
% 68.56/9.64 % (13305)Success in time 9.291 s
%------------------------------------------------------------------------------