TSTP Solution File: ITP023+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 : Fri May 19 11:23:25 EDT 2023
% Result : Theorem 1.73s 2.41s
% Output : Proof 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 21:13:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.73/2.41
% 1.73/2.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.73/2.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/2.41 %-----------------------------------------------------
% 1.73/2.41 ncf(matrix, plain, [(1249 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))))))], (20 ^ _179141) ^ [_179889, _179891] : [-(p(_179889)), _179891 = _179889, p(_179891)], (2 ^ _179141) ^ [_179285] : [-(_179285 = _179285)], (4 ^ _179141) ^ [_179392, _179394] : [_179394 = _179392, -(_179392 = _179394)], (10 ^ _179141) ^ [_179596, _179598, _179600] : [-(_179600 = _179596), _179600 = _179598, _179598 = _179596], (30 ^ _179141) ^ [_180214, _180216, _180218, _180220] : [-(c_2Ebool_2E_2F_5C_2E2(_180220, _180216) = c_2Ebool_2E_2F_5C_2E2(_180218, _180214)), _180220 = _180218, _180216 = _180214], (40 ^ _179141) ^ [_180573, _180575, _180577, _180579] : [-(c_2Ebool_2E_5C_2F_2E2(_180579, _180575) = c_2Ebool_2E_5C_2F_2E2(_180577, _180573)), _180579 = _180577, _180575 = _180573], (50 ^ _179141) ^ [_180904, _180906] : [_180906 = _180904, -(c_2Ebool_2E_7E_2E1(_180906) = c_2Ebool_2E_7E_2E1(_180904))], (56 ^ _179141) ^ [_181150, _181152, _181154, _181156] : [-(c_2Emin_2E_3D_3D_3E_2E2(_181156, _181152) = c_2Emin_2E_3D_3D_3E_2E2(_181154, _181150)), _181156 = _181154, _181152 = _181150], (66 ^ _179141) ^ [_181509, _181511, _181513, _181515] : [-(c_2Emin_2E_3D_2E2(_181515, _181511) = c_2Emin_2E_3D_2E2(_181513, _181509)), _181515 = _181513, _181511 = _181509], (76 ^ _179141) ^ [_181840, _181842] : [_181842 = _181840, -(c_2Ebool_2E_21_2E1(_181842) = c_2Ebool_2E_21_2E1(_181840))], (82 ^ _179141) ^ [_182058, _182060] : [_182060 = _182058, -(c_2Ebool_2E_3F_2E1(_182060) = c_2Ebool_2E_3F_2E1(_182058))], (88 ^ _179141) ^ [_182304, _182306, _182308, _182310] : [-(app_2E2(_182310, _182306) = app_2E2(_182308, _182304)), _182310 = _182308, _182306 = _182304], (98 ^ _179141) ^ [_182663, _182665, _182667, _182669] : [-(c_2Epred__set_2ESUBSET_2E2(_182669, _182665) = c_2Epred__set_2ESUBSET_2E2(_182667, _182663)), _182669 = _182667, _182665 = _182663], (108 ^ _179141) ^ [_182994, _182996] : [_182996 = _182994, -(c_2Ereal__topology_2Ecball_2E1(_182996) = c_2Ereal__topology_2Ecball_2E1(_182994))], (114 ^ _179141) ^ [_183212, _183214] : [_183214 = _183212, -(c_2Ereal__topology_2Ebounded__def_2E1(_183214) = c_2Ereal__topology_2Ebounded__def_2E1(_183212))], (120 ^ _179141) ^ [_183458, _183460, _183462, _183464] : [-(tyop_2Emin_2Efun(_183464, _183460) = tyop_2Emin_2Efun(_183462, _183458)), _183464 = _183462, _183460 = _183458], (130 ^ _179141) ^ [_183789, _183791] : [_183791 = _183789, -(c_2Ereal__topology_2Eball_2E1(_183791) = c_2Ereal__topology_2Eball_2E1(_183789))], (136 ^ _179141) ^ [_184035, _184037, _184039, _184041] : [-(tyop_2Epair_2Eprod(_184041, _184037) = tyop_2Epair_2Eprod(_184039, _184035)), _184041 = _184039, _184037 = _184035], (146 ^ _179141) ^ [_184394, _184396, _184398, _184400] : [-(c_2Epair_2E_2C_2E2(_184400, _184396) = c_2Epair_2E_2C_2E2(_184398, _184394)), _184400 = _184398, _184396 = _184394], (156 ^ _179141) ^ [_184733, _184735, _184737, _184739] : [-(s(_184739, _184735) = s(_184737, _184733)), _184739 = _184737, _184735 = _184733], (166 ^ _179141) ^ [_185130, _185132, _185134, _185136] : [s(_185134, app_2E2(s(tyop_2Emin_2Efun(_185136, _185134), _185132), s(_185136, 167 ^ [_185130, _185132, _185134, _185136]))) = s(_185134, app_2E2(s(tyop_2Emin_2Efun(_185136, _185134), _185130), s(_185136, 167 ^ [_185130, _185132, _185134, _185136]))), -(s(tyop_2Emin_2Efun(_185136, _185134), _185132) = s(tyop_2Emin_2Efun(_185136, _185134), _185130))], (173 ^ _179141) ^ [_185546, _185548] : [-(s(tyop_2Emin_2Ebool, _185548) = s(tyop_2Emin_2Ebool, _185546)), 176 ^ _179141 : [(177 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _185548)))], (179 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _185546))]], 180 ^ _179141 : [(181 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _185546)))], (183 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _185548))]]], (187 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (189 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (191 ^ _179141) ^ [_186107] : [-(s(tyop_2Emin_2Ebool, _186107) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(s(tyop_2Emin_2Ebool, _186107) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (197 ^ _179141) ^ [_186309, _186311] : [-(s(_186311, app_2E2(s(tyop_2Emin_2Efun(_186311, _186311), combin_i_2E0), s(_186311, _186309))) = s(_186311, _186309))], (199 ^ _179141) ^ [_186449, _186451, _186453, _186455] : [-(s(_186455, app_2E2(s(tyop_2Emin_2Efun(_186453, _186455), app_2E2(s(tyop_2Emin_2Efun(_186455, tyop_2Emin_2Efun(_186453, _186455)), combin_k_2E0), s(_186455, _186451))), s(_186453, _186449))) = s(_186455, _186451))], (201 ^ _179141) ^ [_186636, _186638, _186640, _186642, _186644, _186646] : [-(s(_186642, app_2E2(s(tyop_2Emin_2Efun(_186646, _186642), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_186646, _186644), tyop_2Emin_2Efun(_186646, _186642)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_186646, tyop_2Emin_2Efun(_186644, _186642)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_186646, _186644), tyop_2Emin_2Efun(_186646, _186642))), combin_s_2E0), s(tyop_2Emin_2Efun(_186646, tyop_2Emin_2Efun(_186644, _186642)), _186640))), s(tyop_2Emin_2Efun(_186646, _186644), _186638))), s(_186646, _186636))) = s(_186642, app_2E2(s(tyop_2Emin_2Efun(_186644, _186642), app_2E2(s(tyop_2Emin_2Efun(_186646, tyop_2Emin_2Efun(_186644, _186642)), _186640), s(_186646, _186636))), s(_186644, app_2E2(s(tyop_2Emin_2Efun(_186646, _186644), _186638), s(_186646, _186636))))))], (203 ^ _179141) ^ [_186893, _186895] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _186895), s(tyop_2Emin_2Ebool, _186893)))), 206 ^ _179141 : [(207 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _186895)))], (209 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _186893)))]]], (211 ^ _179141) ^ [_187160, _187162] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _187162), s(tyop_2Emin_2Ebool, _187160))))), p(s(tyop_2Emin_2Ebool, _187162)), p(s(tyop_2Emin_2Ebool, _187160))], (231 ^ _179141) ^ [_187802, _187804] : [232 ^ _179141 : [(233 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _187804))], (235 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _187802))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _187804), s(tyop_2Emin_2Ebool, _187802)))))], (221 ^ _179141) ^ [_187520, _187522] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _187522), s(tyop_2Emin_2Ebool, _187520)))), -(p(s(tyop_2Emin_2Ebool, _187522))), -(p(s(tyop_2Emin_2Ebool, _187520)))], (239 ^ _179141) ^ [_188133] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _188133)))), p(s(tyop_2Emin_2Ebool, _188133))], (245 ^ _179141) ^ [_188308] : [-(p(s(tyop_2Emin_2Ebool, _188308))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _188308)))))], (261 ^ _179141) ^ [_188845, _188847] : [262 ^ _179141 : [(263 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _188847)))], (265 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _188845))]], -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _188847), s(tyop_2Emin_2Ebool, _188845)))))], (251 ^ _179141) ^ [_188564, _188566] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _188566), s(tyop_2Emin_2Ebool, _188564)))), p(s(tyop_2Emin_2Ebool, _188566)), -(p(s(tyop_2Emin_2Ebool, _188564)))], (269 ^ _179141) ^ [_189205, _189207, _189209] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_189209, _189207), s(_189209, _189205)))), -(s(_189209, _189207) = s(_189209, _189205))], (275 ^ _179141) ^ [_189407, _189409, _189411] : [s(_189411, _189409) = s(_189411, _189407), -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_189411, _189409), s(_189411, _189407)))))], (281 ^ _179141) ^ [_189688, _189690] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_189690, tyop_2Emin_2Ebool), _189688)))), 284 ^ _179141 : [(285 ^ _179141) ^ [_189838] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_189690, tyop_2Emin_2Ebool), _189688), s(_189690, _189838)))))]]], (287 ^ _179141) ^ [_189920, _189922] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_189922, tyop_2Emin_2Ebool), _189920), s(_189922, 288 ^ [_189920, _189922])))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_189922, tyop_2Emin_2Ebool), _189920)))))], (294 ^ _179141) ^ [_190280, _190282] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_190282, tyop_2Emin_2Ebool), _190280)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_190282, tyop_2Emin_2Ebool), _190280), s(_190282, 297 ^ [_190280, _190282])))))], (301 ^ _179141) ^ [_190561, _190563] : [302 ^ _179141 : [(303 ^ _179141) ^ [_190655] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_190563, tyop_2Emin_2Ebool), _190561), s(_190563, _190655))))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_190563, tyop_2Emin_2Ebool), _190561)))))], (317 ^ _179141) ^ [_191165, _191167] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _191167))), s(tyop_2Emin_2Ebool, _191165)))), 320 ^ _179141 : [(321 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _191167)))], (323 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _191165)))]]], (307 ^ _179141) ^ [_190872, _190874] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _190874))), s(tyop_2Emin_2Ebool, _190872))))), p(s(tyop_2Emin_2Ebool, _190874)), p(s(tyop_2Emin_2Ebool, _190872))], (325 ^ _179141) ^ [_191523, _191525] : [326 ^ _179141 : [(327 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _191525))], (329 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _191523))]], -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _191525))), s(tyop_2Emin_2Ebool, _191523)))))], (333 ^ _179141) ^ [_191801, _191803] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _191803))), s(tyop_2Emin_2Ebool, _191801)))), -(p(s(tyop_2Emin_2Ebool, _191803))), -(p(s(tyop_2Emin_2Ebool, _191801)))], (343 ^ _179141) ^ [_192160] : [-(p(s(tyop_2Emin_2Ebool, _192160))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _192160)))))], (349 ^ _179141) ^ [_192339] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _192339)))), p(s(tyop_2Emin_2Ebool, _192339))], (355 ^ _179141) ^ [_192595, _192597] : [356 ^ _179141 : [(357 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _192597)))], (359 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _192595))]], -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _192597))), s(tyop_2Emin_2Ebool, _192595)))))], (363 ^ _179141) ^ [_192874, _192876] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _192876))), s(tyop_2Emin_2Ebool, _192874)))), p(s(tyop_2Emin_2Ebool, _192876)), -(p(s(tyop_2Emin_2Ebool, _192874)))], (373 ^ _179141) ^ [_193260, _193262, _193264] : [s(_193264, _193262) = s(_193264, _193260), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_193264, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_193264, tyop_2Emin_2Efun(_193264, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_193264, _193262))), s(_193264, _193260)))))], (379 ^ _179141) ^ [_193498, _193500, _193502] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_193502, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_193502, tyop_2Emin_2Efun(_193502, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_193502, _193500))), s(_193502, _193498)))), -(s(_193502, _193500) = s(_193502, _193498))], (385 ^ _179141) ^ [_193771, _193773] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_193773, tyop_2Emin_2Ebool), _193771))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_193773, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_193773, tyop_2Emin_2Ebool), _193771))))], (387 ^ _179141) ^ [_193897, _193899] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_193899, tyop_2Emin_2Ebool), _193897))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_193899, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_193899, tyop_2Emin_2Ebool), _193897))))], (389 ^ _179141) ^ [_194009] : [-(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194009))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ereal__topology_2Ebounded__def_2E0), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194009))))], (391 ^ _179141) ^ [_194118, _194120] : [-(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, _194120), s(tyop_2Erealax_2Ereal, _194118))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal))), c_2Epair_2E_2C_2E0), s(tyop_2Erealax_2Ereal, _194120))), s(tyop_2Erealax_2Ereal, _194118))))], (393 ^ _179141) ^ [_194228] : [-(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), _194228))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool)), c_2Ereal__topology_2Eball_2E0), s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), _194228))))], (395 ^ _179141) ^ [_194323] : [-(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), _194323))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool)), c_2Ereal__topology_2Ecball_2E0), s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), _194323))))], (397 ^ _179141) ^ [_194432, _194434] : [-(s(tyop_2Emin_2Ebool, c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194434), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194432))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Epred__set_2ESUBSET_2E0), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194434))), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _194432))))], (399 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (401 ^ _179141) ^ [_194624, _194626] : [402 ^ _179141 : [(403 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _194626)))], (405 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _194624))]], 408 ^ _179141 : [(409 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _194624)))], (411 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _194626))]], -(s(tyop_2Emin_2Ebool, _194626) = s(tyop_2Emin_2Ebool, _194624))], (415 ^ _179141) ^ [_195087] : [416 ^ _179141 : [(417 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _195087)))], (419 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _195087))], (423 ^ _179141) ^ [_195353] : [-(p(s(tyop_2Emin_2Ebool, _195353))), p(s(tyop_2Emin_2Ebool, _195353)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (433 ^ _179141) ^ [_195682] : [434 ^ _179141 : [(435 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (437 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _195682))]], -(p(s(tyop_2Emin_2Ebool, _195682)))], (441 ^ _179141) ^ [_195913] : [p(s(tyop_2Emin_2Ebool, _195913)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(p(s(tyop_2Emin_2Ebool, _195913)))], (451 ^ _179141) ^ [_196207] : [452 ^ _179141 : [(453 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _196207)))], (455 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (459 ^ _179141) ^ [_196425] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _196425)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (469 ^ _179141) ^ [_196709] : [470 ^ _179141 : [(471 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (473 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _196709))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (477 ^ _179141) ^ [_196927] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), -(p(s(tyop_2Emin_2Ebool, _196927)))], (487 ^ _179141) ^ [_197211] : [488 ^ _179141 : [(489 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _197211)))], (491 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _197211))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (495 ^ _179141) ^ [_197439] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _197439)), -(p(s(tyop_2Emin_2Ebool, _197439)))], (505 ^ _179141) ^ [_197713] : [506 ^ _179141 : [(507 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _197713)))], (509 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _197713))], (513 ^ _179141) ^ [_197945] : [-(p(s(tyop_2Emin_2Ebool, _197945))), p(s(tyop_2Emin_2Ebool, _197945)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (523 ^ _179141) ^ [_198292] : [p(s(tyop_2Emin_2Ebool, _198292)), -(p(s(tyop_2Emin_2Ebool, _198292)))], (529 ^ _179141) ^ [_198460] : [p(s(tyop_2Emin_2Ebool, _198460)), -(p(s(tyop_2Emin_2Ebool, _198460)))], (535 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (541 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (547 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (553 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (559 ^ _179141) ^ [_199207, _199209, _199211] : [s(_199211, _199209) = s(_199211, _199207), -(s(_199211, _199207) = s(_199211, _199209))], (565 ^ _179141) ^ [_199399, _199401, _199403] : [s(_199403, _199399) = s(_199403, _199401), -(s(_199403, _199401) = s(_199403, _199399))], (571 ^ _179141) ^ [_199676] : [s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _199676), -(p(s(tyop_2Emin_2Ebool, _199676)))], (577 ^ _179141) ^ [_199842] : [p(s(tyop_2Emin_2Ebool, _199842)), -(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _199842))], (583 ^ _179141) ^ [_200059] : [s(tyop_2Emin_2Ebool, _200059) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), -(p(s(tyop_2Emin_2Ebool, _200059)))], (589 ^ _179141) ^ [_200225] : [p(s(tyop_2Emin_2Ebool, _200225)), -(s(tyop_2Emin_2Ebool, _200225) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (595 ^ _179141) ^ [_200442] : [s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _200442), p(s(tyop_2Emin_2Ebool, _200442))], (601 ^ _179141) ^ [_200609] : [-(p(s(tyop_2Emin_2Ebool, _200609))), -(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _200609))], (607 ^ _179141) ^ [_200809] : [s(tyop_2Emin_2Ebool, _200809) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0), p(s(tyop_2Emin_2Ebool, _200809))], (613 ^ _179141) ^ [_200976] : [-(p(s(tyop_2Emin_2Ebool, _200976))), -(s(tyop_2Emin_2Ebool, _200976) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (619 ^ _179141) ^ [_201236, _201238] : [620 ^ _179141 : [(621 ^ _179141) ^ [_201344] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_201238, tyop_2Emin_2Ebool), _201236), s(_201238, _201344)))))]], p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_201238, tyop_2Emin_2Ebool), _201236), s(_201238, 622 ^ [_201236, _201238]))))], (626 ^ _179141) ^ [_201553, _201555] : [627 ^ _179141 : [(628 ^ _179141) ^ [_201661] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_201555, tyop_2Emin_2Ebool), _201553), s(_201555, _201661)))))]], p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_201555, tyop_2Emin_2Ebool), _201553), s(_201555, 629 ^ [_201553, _201555]))))], (633 ^ _179141) ^ [_201961, _201963, _201965] : [634 ^ _179141 : [(635 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _201965))], (637 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _201963))], (639 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _201961))]], -(p(s(tyop_2Emin_2Ebool, _201965))), -(p(s(tyop_2Emin_2Ebool, _201963))), -(p(s(tyop_2Emin_2Ebool, _201961)))], (651 ^ _179141) ^ [_202492, _202494, _202496] : [652 ^ _179141 : [(653 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _202496))], (655 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _202494))], (657 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _202492))]], -(p(s(tyop_2Emin_2Ebool, _202496))), -(p(s(tyop_2Emin_2Ebool, _202494))), -(p(s(tyop_2Emin_2Ebool, _202492)))], (669 ^ _179141) ^ [_203102, _203104] : [670 ^ _179141 : [(671 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _203104))], (673 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _203102))]], -(p(s(tyop_2Emin_2Ebool, _203102))), -(p(s(tyop_2Emin_2Ebool, _203104)))], (681 ^ _179141) ^ [_203444, _203446] : [682 ^ _179141 : [(683 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _203444))], (685 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _203446))]], -(p(s(tyop_2Emin_2Ebool, _203446))), -(p(s(tyop_2Emin_2Ebool, _203444)))], (693 ^ _179141) ^ [_203885, _203887] : [694 ^ _179141 : [(695 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _203887)))], (697 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _203885)))]], p(s(tyop_2Emin_2Ebool, _203887)), p(s(tyop_2Emin_2Ebool, _203885))], (705 ^ _179141) ^ [_204233, _204235] : [706 ^ _179141 : [(707 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _204235)))], (709 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _204233)))]], p(s(tyop_2Emin_2Ebool, _204235)), p(s(tyop_2Emin_2Ebool, _204233))], (717 ^ _179141) ^ [_204612, _204614] : [724 ^ _179141 : [(725 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _204614))], (727 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _204612))]], -(p(s(tyop_2Emin_2Ebool, _204614))), -(p(s(tyop_2Emin_2Ebool, _204612)))], (729 ^ _179141) ^ [_204960, _204962] : [736 ^ _179141 : [(737 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _204962))], (739 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _204960))]], -(p(s(tyop_2Emin_2Ebool, _204962))), -(p(s(tyop_2Emin_2Ebool, _204960)))], (741 ^ _179141) ^ [_205347, _205349] : [-(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, _205349), s(tyop_2Erealax_2Ereal, _205347))))), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, _205349), s(tyop_2Erealax_2Ereal, _205347)))))))))], (743 ^ _179141) ^ [_205495, _205497] : [-(p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _205497))))), p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _205495)))), p(s(tyop_2Emin_2Ebool, c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _205497), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), _205495))))], (753 ^ _179141) ^ [_205829, _205831] : [-(p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, _205831), s(tyop_2Erealax_2Ereal, _205829)))))))))], (755 ^ _179141) ^ [_205974] : [p(s(tyop_2Emin_2Ebool, _205974)), -(p(s(tyop_2Emin_2Ebool, _205974)))], (761 ^ _179141) ^ [_206142] : [p(s(tyop_2Emin_2Ebool, _206142)), -(p(s(tyop_2Emin_2Ebool, _206142)))], (767 ^ _179141) ^ [_206346] : [p(s(tyop_2Emin_2Ebool, _206346)), -(p(s(tyop_2Emin_2Ebool, _206346))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (777 ^ _179141) ^ [_206669, _206671] : [778 ^ _179141 : [(779 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _206669))], (781 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _206671))], (783 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 786 ^ _179141 : [(787 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _206669)))], (789 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, _206671))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (797 ^ _179141) ^ [_207236, _207238] : [798 ^ _179141 : [(805 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _207238))], (807 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (799 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _207236)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, _207236))), -(p(s(tyop_2Emin_2Ebool, _207238)))], (819 ^ _179141) ^ [_207898, _207900] : [820 ^ _179141 : [(821 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _207898)))], (823 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _207900))], (825 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _207898)), -(p(s(tyop_2Emin_2Ebool, _207900))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (837 ^ _179141) ^ [_208399, _208401] : [838 ^ _179141 : [(839 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _208399)))], (841 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _208401))], (843 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), p(s(tyop_2Emin_2Ebool, _208399)), -(p(s(tyop_2Emin_2Ebool, _208401)))], (855 ^ _179141) ^ [_208934] : [856 ^ _179141 : [(857 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _208934))], (859 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 862 ^ _179141 : [(863 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _208934)))], (865 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (921 ^ _179141) ^ [_210876, _210878, _210880] : [924 ^ _179141 : [(925 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210876))], (927 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210878))], (929 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210880))]], 932 ^ _179141 : [(933 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210876))], (935 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210880)))], (937 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210878)))]], 940 ^ _179141 : [(941 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210878))], (943 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210880)))], (945 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210876)))]], 946 ^ _179141 : [(947 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210880))], (949 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210878)))], (951 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _210876)))]], 952 ^ _179141 : [(953 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _210876)), -(s(tyop_2Emin_2Ebool, _210878) = s(tyop_2Emin_2Ebool, _210880))], (959 ^ _179141) ^ [] : [s(tyop_2Emin_2Ebool, _210878) = s(tyop_2Emin_2Ebool, _210880), -(p(s(tyop_2Emin_2Ebool, _210876)))]]], (869 ^ _179141) ^ [_209403, _209405, _209407] : [872 ^ _179141 : [(873 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _209403)))], (875 ^ _179141) ^ [] : [s(tyop_2Emin_2Ebool, _209405) = s(tyop_2Emin_2Ebool, _209407)]], 876 ^ _179141 : [(877 ^ _179141) ^ [] : [-(s(tyop_2Emin_2Ebool, _209405) = s(tyop_2Emin_2Ebool, _209407))], (879 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _209403))]], 880 ^ _179141 : [(881 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _209403))), -(p(s(tyop_2Emin_2Ebool, _209405))), -(p(s(tyop_2Emin_2Ebool, _209407)))], (891 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _209403))), p(s(tyop_2Emin_2Ebool, _209407)), p(s(tyop_2Emin_2Ebool, _209405))], (901 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _209405))), p(s(tyop_2Emin_2Ebool, _209407)), p(s(tyop_2Emin_2Ebool, _209403))], (911 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _209407))), p(s(tyop_2Emin_2Ebool, _209405)), p(s(tyop_2Emin_2Ebool, _209403))]]], (1005 ^ _179141) ^ [_213534, _213536, _213538] : [1008 ^ _179141 : [(1009 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _213534))], (1011 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213536)))], (1013 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213538)))]], 1016 ^ _179141 : [(1017 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _213536))], (1019 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213534)))]], 1020 ^ _179141 : [(1021 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _213538))], (1023 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213534)))]], 1024 ^ _179141 : [(1025 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _213534)), 1028 ^ _179141 : [(1029 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213536)))], (1031 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213538)))]]], (1033 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _213534))), p(s(tyop_2Emin_2Ebool, _213536)), p(s(tyop_2Emin_2Ebool, _213538))]]], (965 ^ _179141) ^ [_212376, _212378, _212380] : [976 ^ _179141 : [(977 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212378)))], (979 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212380)))], (981 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _212376))]], 968 ^ _179141 : [(969 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212376)))], (971 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _212378)), p(s(tyop_2Emin_2Ebool, _212380))]], 982 ^ _179141 : [(983 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212376))), p(s(tyop_2Emin_2Ebool, _212378)), p(s(tyop_2Emin_2Ebool, _212380))], (993 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212378))), p(s(tyop_2Emin_2Ebool, _212376))], (999 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _212380))), p(s(tyop_2Emin_2Ebool, _212376))]]], (1083 ^ _179141) ^ [_215925, _215927, _215929] : [1086 ^ _179141 : [(1087 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215925))], (1089 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _215927)))]], 1092 ^ _179141 : [(1093 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215925))], (1095 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _215929)))]], 1096 ^ _179141 : [(1097 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215927))], (1099 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215929))], (1101 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _215925)))]], 1102 ^ _179141 : [(1113 ^ _179141) ^ [] : [1114 ^ _179141 : [(1115 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215927))], (1117 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215929))]], -(p(s(tyop_2Emin_2Ebool, _215925)))], (1103 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _215925)), -(p(s(tyop_2Emin_2Ebool, _215927))), -(p(s(tyop_2Emin_2Ebool, _215929)))]]], (1043 ^ _179141) ^ [_214770, _214772, _214774] : [1046 ^ _179141 : [(1047 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _214770)))], (1049 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _214772))], (1051 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _214774))]], 1052 ^ _179141 : [(1059 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _214770))], (1053 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _214772))), -(p(s(tyop_2Emin_2Ebool, _214774)))]], 1060 ^ _179141 : [(1061 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _214770))), p(s(tyop_2Emin_2Ebool, _214772))], (1067 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _214770))), p(s(tyop_2Emin_2Ebool, _214774))], (1073 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _214772))), -(p(s(tyop_2Emin_2Ebool, _214774))), p(s(tyop_2Emin_2Ebool, _214770))]]], (1199 ^ _179141) ^ [_219512, _219514] : [1202 ^ _179141 : [(1203 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _219512)))], (1205 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _219514)))]], 1206 ^ _179141 : [(1207 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _219514))], (1209 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _219512))]], 1210 ^ _179141 : [(1211 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _219512))), -(p(s(tyop_2Emin_2Ebool, _219514)))], (1217 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _219514)), p(s(tyop_2Emin_2Ebool, _219512))]]], (1223 ^ _179141) ^ [_220199, _220201] : [1226 ^ _179141 : [(1227 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _220199))], (1229 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _220201))]], 1230 ^ _179141 : [(1231 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _220201)))], (1233 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _220199)))]], 1234 ^ _179141 : [(1235 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _220199)), p(s(tyop_2Emin_2Ebool, _220201))], (1241 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _220201))), -(p(s(tyop_2Emin_2Ebool, _220199)))]]], (1161 ^ _179141) ^ [_218313, _218315, _218317] : [1164 ^ _179141 : [(1165 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218313))], (1167 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218315))]], 1170 ^ _179141 : [(1171 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218313))], (1173 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _218317)))]], 1174 ^ _179141 : [(1175 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _218315)))], (1177 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218317))], (1179 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _218313)))]], 1180 ^ _179141 : [(1191 ^ _179141) ^ [] : [1192 ^ _179141 : [(1193 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _218315)))], (1195 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218317))]], -(p(s(tyop_2Emin_2Ebool, _218313)))], (1181 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _218313)), p(s(tyop_2Emin_2Ebool, _218315)), -(p(s(tyop_2Emin_2Ebool, _218317)))]]], (1121 ^ _179141) ^ [_217158, _217160, _217162] : [1124 ^ _179141 : [(1125 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217158)))], (1127 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217160)))], (1129 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _217162))]], 1130 ^ _179141 : [(1137 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _217158))], (1131 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _217160)), -(p(s(tyop_2Emin_2Ebool, _217162)))]], 1138 ^ _179141 : [(1139 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217158))), -(p(s(tyop_2Emin_2Ebool, _217160)))], (1145 ^ _179141) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217158))), p(s(tyop_2Emin_2Ebool, _217162))], (1151 ^ _179141) ^ [] : [p(s(tyop_2Emin_2Ebool, _217160)), -(p(s(tyop_2Emin_2Ebool, _217162))), p(s(tyop_2Emin_2Ebool, _217158))]]]], input).
% 1.73/2.41 ncf('1',plain,[p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))))))],start(1249 ^ 0)).
% 1.73/2.41 ncf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))))))), p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ [])))))))), p(s(tyop_2Emin_2Ebool, c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))))))],extension(743 ^ 1,bind([[_205495, _205497], [c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ [])))), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))]]))).
% 1.73/2.41 ncf('1.1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ [])))))))))],extension(753 ^ 2,bind([[_205829, _205831], [1247 ^ [], 1246 ^ []]]))).
% 1.73/2.41 ncf('1.1.2',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ []))))), s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Emin_2Ebool), c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal), c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal, 1246 ^ []), s(tyop_2Erealax_2Ereal, 1247 ^ [])))))))))],extension(741 ^ 2,bind([[_205347, _205349], [1247 ^ [], 1246 ^ []]]))).
% 1.73/2.41 %-----------------------------------------------------
% 1.73/2.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------