TSTP Solution File: ITP006+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:23:08 EDT 2023

% Result   : Theorem 15.21s 14.87s
% Output   : Proof 15.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 22:21:20 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 15.21/14.87  
% 15.21/14.87  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 15.21/14.87  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.21/14.87  %-----------------------------------------------------
% 15.21/14.87  ncf(matrix, plain, [(1224 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ [])))))], (1226 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ []))))], (1218 ^ _209677) ^ [_254769] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ []), s(1212 ^ [], _254769)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ []), s(1212 ^ [], _254769)))))], (20 ^ _209677) ^ [_210425, _210427] : [-(p(_210425)), _210427 = _210425, p(_210427)], (2 ^ _209677) ^ [_209821] : [-(_209821 = _209821)], (4 ^ _209677) ^ [_209928, _209930] : [_209930 = _209928, -(_209928 = _209930)], (10 ^ _209677) ^ [_210132, _210134, _210136] : [-(_210136 = _210132), _210136 = _210134, _210134 = _210132], (30 ^ _209677) ^ [_210750, _210752, _210754, _210756] : [-(c_2Ebool_2E_2F_5C_2E2(_210756, _210752) = c_2Ebool_2E_2F_5C_2E2(_210754, _210750)), _210756 = _210754, _210752 = _210750], (40 ^ _209677) ^ [_211109, _211111, _211113, _211115] : [-(c_2Ebool_2E_5C_2F_2E2(_211115, _211111) = c_2Ebool_2E_5C_2F_2E2(_211113, _211109)), _211115 = _211113, _211111 = _211109], (50 ^ _209677) ^ [_211440, _211442] : [_211442 = _211440, -(c_2Ebool_2E_7E_2E1(_211442) = c_2Ebool_2E_7E_2E1(_211440))], (56 ^ _209677) ^ [_211686, _211688, _211690, _211692] : [-(c_2Emin_2E_3D_3D_3E_2E2(_211692, _211688) = c_2Emin_2E_3D_3D_3E_2E2(_211690, _211686)), _211692 = _211690, _211688 = _211686], (66 ^ _209677) ^ [_212045, _212047, _212049, _212051] : [-(c_2Emin_2E_3D_2E2(_212051, _212047) = c_2Emin_2E_3D_2E2(_212049, _212045)), _212051 = _212049, _212047 = _212045], (76 ^ _209677) ^ [_212376, _212378] : [_212378 = _212376, -(c_2Ebool_2E_21_2E1(_212378) = c_2Ebool_2E_21_2E1(_212376))], (82 ^ _209677) ^ [_212594, _212596] : [_212596 = _212594, -(c_2Ebool_2E_3F_2E1(_212596) = c_2Ebool_2E_3F_2E1(_212594))], (88 ^ _209677) ^ [_212840, _212842, _212844, _212846] : [-(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(_212846, _212842) = c_2EquantHeuristics_2EGUESS__EXISTS_2E2(_212844, _212840)), _212846 = _212844, _212842 = _212840], (98 ^ _209677) ^ [_213199, _213201, _213203, _213205] : [-(c_2EquantHeuristics_2EGUESS__FORALL_2E2(_213205, _213201) = c_2EquantHeuristics_2EGUESS__FORALL_2E2(_213203, _213199)), _213205 = _213203, _213201 = _213199], (108 ^ _209677) ^ [_213558, _213560, _213562, _213564] : [-(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(_213564, _213560) = c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(_213562, _213558)), _213564 = _213562, _213560 = _213558], (118 ^ _209677) ^ [_213917, _213919, _213921, _213923] : [-(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(_213923, _213919) = c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(_213921, _213917)), _213923 = _213921, _213919 = _213917], (128 ^ _209677) ^ [_214276, _214278, _214280, _214282] : [-(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(_214282, _214278) = c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(_214280, _214276)), _214282 = _214280, _214278 = _214276], (138 ^ _209677) ^ [_214635, _214637, _214639, _214641] : [-(app_2E2(_214641, _214637) = app_2E2(_214639, _214635)), _214641 = _214639, _214637 = _214635], (148 ^ _209677) ^ [_214994, _214996, _214998, _215000] : [-(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(_215000, _214996) = c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(_214998, _214994)), _215000 = _214998, _214996 = _214994], (158 ^ _209677) ^ [_215353, _215355, _215357, _215359] : [-(s(_215359, _215355) = s(_215357, _215353)), _215359 = _215357, _215355 = _215353], (168 ^ _209677) ^ [_215692, _215694, _215696, _215698] : [-(tyop_2Emin_2Efun(_215698, _215694) = tyop_2Emin_2Efun(_215696, _215692)), _215698 = _215696, _215694 = _215692], (178 ^ _209677) ^ [_216089, _216091, _216093, _216095] : [s(_216093, app_2E2(s(tyop_2Emin_2Efun(_216095, _216093), _216091), s(_216095, 179 ^ [_216089, _216091, _216093, _216095]))) = s(_216093, app_2E2(s(tyop_2Emin_2Efun(_216095, _216093), _216089), s(_216095, 179 ^ [_216089, _216091, _216093, _216095]))), -(s(tyop_2Emin_2Efun(_216095, _216093), _216091) = s(tyop_2Emin_2Efun(_216095, _216093), _216089))], (185 ^ _209677) ^ [_216505, _216507] : [-(s(tyop_2Emin_2Ebool, _216507) = s(tyop_2Emin_2Ebool, _216505)), 188 ^ _209677 : [(189 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _216507)))], (191 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _216505))]], 192 ^ _209677 : [(193 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _216505)))], (195 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _216507))]]], (199 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (201 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (203 ^ _209677) ^ [_217066] : [-(s(tyop_2Emin_2Ebool, _217066) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(s(tyop_2Emin_2Ebool, _217066) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (209 ^ _209677) ^ [_217268, _217270] : [-(s(_217270, app_2E2(s(tyop_2Emin_2Efun(_217270, _217270), combin_i_2E0), s(_217270, _217268))) = s(_217270, _217268))], (211 ^ _209677) ^ [_217408, _217410, _217412, _217414] : [-(s(_217414, app_2E2(s(tyop_2Emin_2Efun(_217412, _217414), app_2E2(s(tyop_2Emin_2Efun(_217414, tyop_2Emin_2Efun(_217412, _217414)), combin_k_2E0), s(_217414, _217410))), s(_217412, _217408))) = s(_217414, _217410))], (213 ^ _209677) ^ [_217595, _217597, _217599, _217601, _217603, _217605] : [-(s(_217601, app_2E2(s(tyop_2Emin_2Efun(_217605, _217601), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_217605, _217603), tyop_2Emin_2Efun(_217605, _217601)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_217605, tyop_2Emin_2Efun(_217603, _217601)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_217605, _217603), tyop_2Emin_2Efun(_217605, _217601))), combin_s_2E0), s(tyop_2Emin_2Efun(_217605, tyop_2Emin_2Efun(_217603, _217601)), _217599))), s(tyop_2Emin_2Efun(_217605, _217603), _217597))), s(_217605, _217595))) = s(_217601, app_2E2(s(tyop_2Emin_2Efun(_217603, _217601), app_2E2(s(tyop_2Emin_2Efun(_217605, tyop_2Emin_2Efun(_217603, _217601)), _217599), s(_217605, _217595))), s(_217603, app_2E2(s(tyop_2Emin_2Efun(_217605, _217603), _217597), s(_217605, _217595))))))], (215 ^ _209677) ^ [_217852, _217854] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _217854), s(tyop_2Emin_2Ebool, _217852)))), 218 ^ _209677 : [(219 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217854)))], (221 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _217852)))]]], (223 ^ _209677) ^ [_218119, _218121] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _218121), s(tyop_2Emin_2Ebool, _218119))))), p(s(tyop_2Emin_2Ebool, _218121)), p(s(tyop_2Emin_2Ebool, _218119))], (243 ^ _209677) ^ [_218761, _218763] : [244 ^ _209677 : [(245 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _218763))], (247 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _218761))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _218763), s(tyop_2Emin_2Ebool, _218761)))))], (233 ^ _209677) ^ [_218479, _218481] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _218481), s(tyop_2Emin_2Ebool, _218479)))), -(p(s(tyop_2Emin_2Ebool, _218481))), -(p(s(tyop_2Emin_2Ebool, _218479)))], (251 ^ _209677) ^ [_219092] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _219092)))), p(s(tyop_2Emin_2Ebool, _219092))], (257 ^ _209677) ^ [_219267] : [-(p(s(tyop_2Emin_2Ebool, _219267))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _219267)))))], (273 ^ _209677) ^ [_219804, _219806] : [274 ^ _209677 : [(275 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _219806)))], (277 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _219804))]], -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _219806), s(tyop_2Emin_2Ebool, _219804)))))], (263 ^ _209677) ^ [_219523, _219525] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _219525), s(tyop_2Emin_2Ebool, _219523)))), p(s(tyop_2Emin_2Ebool, _219525)), -(p(s(tyop_2Emin_2Ebool, _219523)))], (281 ^ _209677) ^ [_220164, _220166, _220168] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_220168, _220166), s(_220168, _220164)))), -(s(_220168, _220166) = s(_220168, _220164))], (287 ^ _209677) ^ [_220366, _220368, _220370] : [s(_220370, _220368) = s(_220370, _220366), -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_220370, _220368), s(_220370, _220366)))))], (293 ^ _209677) ^ [_220647, _220649] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_220649, tyop_2Emin_2Ebool), _220647)))), 296 ^ _209677 : [(297 ^ _209677) ^ [_220797] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_220649, tyop_2Emin_2Ebool), _220647), s(_220649, _220797)))))]]], (299 ^ _209677) ^ [_220879, _220881] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_220881, tyop_2Emin_2Ebool), _220879), s(_220881, 300 ^ [_220879, _220881])))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_220881, tyop_2Emin_2Ebool), _220879)))))], (306 ^ _209677) ^ [_221239, _221241] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_221241, tyop_2Emin_2Ebool), _221239)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_221241, tyop_2Emin_2Ebool), _221239), s(_221241, 309 ^ [_221239, _221241])))))], (313 ^ _209677) ^ [_221520, _221522] : [314 ^ _209677 : [(315 ^ _209677) ^ [_221614] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_221522, tyop_2Emin_2Ebool), _221520), s(_221522, _221614))))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_221522, tyop_2Emin_2Ebool), _221520)))))], (329 ^ _209677) ^ [_222124, _222126] : [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, _222126))), s(tyop_2Emin_2Ebool, _222124)))), 332 ^ _209677 : [(333 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _222126)))], (335 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _222124)))]]], (319 ^ _209677) ^ [_221831, _221833] : [-(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, _221833))), s(tyop_2Emin_2Ebool, _221831))))), p(s(tyop_2Emin_2Ebool, _221833)), p(s(tyop_2Emin_2Ebool, _221831))], (337 ^ _209677) ^ [_222482, _222484] : [338 ^ _209677 : [(339 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _222484))], (341 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _222482))]], -(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, _222484))), s(tyop_2Emin_2Ebool, _222482)))))], (345 ^ _209677) ^ [_222760, _222762] : [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, _222762))), s(tyop_2Emin_2Ebool, _222760)))), -(p(s(tyop_2Emin_2Ebool, _222762))), -(p(s(tyop_2Emin_2Ebool, _222760)))], (355 ^ _209677) ^ [_223119] : [-(p(s(tyop_2Emin_2Ebool, _223119))), -(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, _223119)))))], (361 ^ _209677) ^ [_223298] : [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, _223298)))), p(s(tyop_2Emin_2Ebool, _223298))], (367 ^ _209677) ^ [_223554, _223556] : [368 ^ _209677 : [(369 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _223556)))], (371 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _223554))]], -(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, _223556))), s(tyop_2Emin_2Ebool, _223554)))))], (375 ^ _209677) ^ [_223833, _223835] : [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, _223835))), s(tyop_2Emin_2Ebool, _223833)))), p(s(tyop_2Emin_2Ebool, _223835)), -(p(s(tyop_2Emin_2Ebool, _223833)))], (385 ^ _209677) ^ [_224219, _224221, _224223] : [s(_224223, _224221) = s(_224223, _224219), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_224223, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_224223, tyop_2Emin_2Efun(_224223, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_224223, _224221))), s(_224223, _224219)))))], (391 ^ _209677) ^ [_224457, _224459, _224461] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_224461, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_224461, tyop_2Emin_2Efun(_224461, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_224461, _224459))), s(_224461, _224457)))), -(s(_224461, _224459) = s(_224461, _224457))], (397 ^ _209677) ^ [_224730, _224732] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_224732, tyop_2Emin_2Ebool), _224730))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_224732, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_224732, tyop_2Emin_2Ebool), _224730))))], (399 ^ _209677) ^ [_224856, _224858] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_224858, tyop_2Emin_2Ebool), _224856))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_224858, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_224858, tyop_2Emin_2Ebool), _224856))))], (401 ^ _209677) ^ [_225010, _225012, _225014, _225016] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(_225016, _225014), _225012), s(tyop_2Emin_2Efun(_225014, tyop_2Emin_2Ebool), _225010))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225014, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225016, _225014), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225014, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__EXISTS_2E0), s(tyop_2Emin_2Efun(_225016, _225014), _225012))), s(tyop_2Emin_2Efun(_225014, tyop_2Emin_2Ebool), _225010))))], (403 ^ _209677) ^ [_225199, _225201, _225203, _225205] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(_225205, _225203), _225201), s(tyop_2Emin_2Efun(_225203, tyop_2Emin_2Ebool), _225199))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225203, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225205, _225203), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225203, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0), s(tyop_2Emin_2Efun(_225205, _225203), _225201))), s(tyop_2Emin_2Efun(_225203, tyop_2Emin_2Ebool), _225199))))], (405 ^ _209677) ^ [_225388, _225390, _225392, _225394] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(_225394, _225392), _225390), s(tyop_2Emin_2Efun(_225392, tyop_2Emin_2Ebool), _225388))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225392, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225394, _225392), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225392, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0), s(tyop_2Emin_2Efun(_225394, _225392), _225390))), s(tyop_2Emin_2Efun(_225392, tyop_2Emin_2Ebool), _225388))))], (407 ^ _209677) ^ [_225577, _225579, _225581, _225583] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(_225583, _225581), _225579), s(tyop_2Emin_2Efun(_225581, tyop_2Emin_2Ebool), _225577))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225581, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225583, _225581), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225581, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__FORALL_2E0), s(tyop_2Emin_2Efun(_225583, _225581), _225579))), s(tyop_2Emin_2Efun(_225581, tyop_2Emin_2Ebool), _225577))))], (409 ^ _209677) ^ [_225766, _225768, _225770, _225772] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(_225772, _225770), _225768), s(tyop_2Emin_2Efun(_225770, tyop_2Emin_2Ebool), _225766))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225770, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225772, _225770), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225770, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0), s(tyop_2Emin_2Efun(_225772, _225770), _225768))), s(tyop_2Emin_2Efun(_225770, tyop_2Emin_2Ebool), _225766))))], (411 ^ _209677) ^ [_225955, _225957, _225959, _225961] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_225961, _225959), _225957), s(tyop_2Emin_2Efun(_225959, tyop_2Emin_2Ebool), _225955))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225959, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225961, _225959), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_225959, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0), s(tyop_2Emin_2Efun(_225961, _225959), _225957))), s(tyop_2Emin_2Efun(_225959, tyop_2Emin_2Ebool), _225955))))], (413 ^ _209677) ^ [_226144, _226146, _226148, _226150] : [-(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_226148, _226150), _226146), s(tyop_2Emin_2Efun(_226150, tyop_2Emin_2Ebool), _226144))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_226150, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_226148, _226150), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_226150, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0), s(tyop_2Emin_2Efun(_226148, _226150), _226146))), s(tyop_2Emin_2Efun(_226150, tyop_2Emin_2Ebool), _226144))))], (415 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (417 ^ _209677) ^ [_226408] : [418 ^ _209677 : [(419 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (421 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _226408))]], -(p(s(tyop_2Emin_2Ebool, _226408)))], (425 ^ _209677) ^ [_226639] : [p(s(tyop_2Emin_2Ebool, _226639)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(p(s(tyop_2Emin_2Ebool, _226639)))], (435 ^ _209677) ^ [_226933] : [436 ^ _209677 : [(437 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _226933)))], (439 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (443 ^ _209677) ^ [_227151] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _227151)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (453 ^ _209677) ^ [_227435] : [454 ^ _209677 : [(455 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (457 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _227435))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (461 ^ _209677) ^ [_227653] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), -(p(s(tyop_2Emin_2Ebool, _227653)))], (471 ^ _209677) ^ [_227937] : [472 ^ _209677 : [(473 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _227937)))], (475 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _227937))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (479 ^ _209677) ^ [_228165] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _228165)), -(p(s(tyop_2Emin_2Ebool, _228165)))], (489 ^ _209677) ^ [_228439] : [490 ^ _209677 : [(491 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _228439)))], (493 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _228439))], (497 ^ _209677) ^ [_228671] : [-(p(s(tyop_2Emin_2Ebool, _228671))), p(s(tyop_2Emin_2Ebool, _228671)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (507 ^ _209677) ^ [_229018] : [p(s(tyop_2Emin_2Ebool, _229018)), -(p(s(tyop_2Emin_2Ebool, _229018)))], (513 ^ _209677) ^ [_229186] : [p(s(tyop_2Emin_2Ebool, _229186)), -(p(s(tyop_2Emin_2Ebool, _229186)))], (519 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (525 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (531 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (537 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (543 ^ _209677) ^ [_229933, _229935, _229937] : [s(_229937, _229935) = s(_229937, _229933), -(s(_229937, _229933) = s(_229937, _229935))], (549 ^ _209677) ^ [_230125, _230127, _230129] : [s(_230129, _230125) = s(_230129, _230127), -(s(_230129, _230127) = s(_230129, _230125))], (555 ^ _209677) ^ [_230402] : [s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _230402), -(p(s(tyop_2Emin_2Ebool, _230402)))], (561 ^ _209677) ^ [_230568] : [p(s(tyop_2Emin_2Ebool, _230568)), -(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _230568))], (567 ^ _209677) ^ [_230785] : [s(tyop_2Emin_2Ebool, _230785) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), -(p(s(tyop_2Emin_2Ebool, _230785)))], (573 ^ _209677) ^ [_230951] : [p(s(tyop_2Emin_2Ebool, _230951)), -(s(tyop_2Emin_2Ebool, _230951) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (579 ^ _209677) ^ [_231168] : [s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _231168), p(s(tyop_2Emin_2Ebool, _231168))], (585 ^ _209677) ^ [_231335] : [-(p(s(tyop_2Emin_2Ebool, _231335))), -(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _231335))], (591 ^ _209677) ^ [_231535] : [s(tyop_2Emin_2Ebool, _231535) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0), p(s(tyop_2Emin_2Ebool, _231535))], (597 ^ _209677) ^ [_231702] : [-(p(s(tyop_2Emin_2Ebool, _231702))), -(s(tyop_2Emin_2Ebool, _231702) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (603 ^ _209677) ^ [_231976, _231978, _231980] : [604 ^ _209677 : [(605 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _231980)))], (607 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _231978)))], (609 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _231976))]], -(p(s(tyop_2Emin_2Ebool, _231976))), p(s(tyop_2Emin_2Ebool, _231980)), p(s(tyop_2Emin_2Ebool, _231978))], (621 ^ _209677) ^ [_232507, _232509, _232511] : [622 ^ _209677 : [(623 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _232511)))], (625 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _232509)))], (627 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _232507))]], p(s(tyop_2Emin_2Ebool, _232511)), p(s(tyop_2Emin_2Ebool, _232509)), -(p(s(tyop_2Emin_2Ebool, _232507)))], (639 ^ _209677) ^ [_233118, _233120, _233122, _233124] : [s(tyop_2Emin_2Ebool, _233124) = s(tyop_2Emin_2Ebool, _233122), 644 ^ _209677 : [(645 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _233122)))], (647 ^ _209677) ^ [] : [s(tyop_2Emin_2Ebool, _233120) = s(tyop_2Emin_2Ebool, _233118)]], 648 ^ _209677 : [(649 ^ _209677) ^ [] : [650 ^ _209677 : [(651 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _233124)))], (653 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _233120))]], p(s(tyop_2Emin_2Ebool, _233122)), -(p(s(tyop_2Emin_2Ebool, _233118)))], (661 ^ _209677) ^ [] : [662 ^ _209677 : [(663 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _233122)))], (665 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _233118))]], p(s(tyop_2Emin_2Ebool, _233124)), -(p(s(tyop_2Emin_2Ebool, _233120)))]]], (684 ^ _209677) ^ [_234855, _234857, _234859, _234861] : [686 ^ _209677 : [(687 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_234859, tyop_2Emin_2Ebool), _234855), s(_234859, 685 ^ [_234855, _234857, _234859, _234861])))))], (689 ^ _209677) ^ [_235196] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_234859, tyop_2Emin_2Ebool), _234855), s(_234859, app_2E2(s(tyop_2Emin_2Efun(_234861, _234859), _234857), s(_234861, _235196))))))]], -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(_234861, _234859), _234857), s(tyop_2Emin_2Efun(_234859, tyop_2Emin_2Ebool), _234855)))))], (673 ^ _209677) ^ [_234257, _234259, _234261, _234263] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(_234263, _234261), _234259), s(tyop_2Emin_2Efun(_234261, tyop_2Emin_2Ebool), _234257)))), 676 ^ _209677 : [(677 ^ _209677) ^ [_234481] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_234261, tyop_2Emin_2Ebool), _234257), s(_234261, _234481)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_234261, tyop_2Emin_2Ebool), _234257), s(_234261, app_2E2(s(tyop_2Emin_2Efun(_234263, _234261), _234259), s(_234263, 680 ^ [_234257, _234259, _234261, _234263, _234481])))))))]]], (704 ^ _209677) ^ [_236022, _236024, _236026, _236028] : [706 ^ _209677 : [(707 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_236026, tyop_2Emin_2Ebool), _236022), s(_236026, 705 ^ [_236022, _236024, _236026, _236028]))))], (709 ^ _209677) ^ [_236371] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_236026, tyop_2Emin_2Ebool), _236022), s(_236026, app_2E2(s(tyop_2Emin_2Efun(_236028, _236026), _236024), s(_236028, _236371)))))))]], -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(_236028, _236026), _236024), s(tyop_2Emin_2Efun(_236026, tyop_2Emin_2Ebool), _236022)))))], (693 ^ _209677) ^ [_235414, _235416, _235418, _235420] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(_235420, _235418), _235416), s(tyop_2Emin_2Efun(_235418, tyop_2Emin_2Ebool), _235414)))), 696 ^ _209677 : [(697 ^ _209677) ^ [_235642] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_235418, tyop_2Emin_2Ebool), _235414), s(_235418, _235642))))), p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_235418, tyop_2Emin_2Ebool), _235414), s(_235418, app_2E2(s(tyop_2Emin_2Efun(_235420, _235418), _235416), s(_235420, 700 ^ [_235414, _235416, _235418, _235420, _235642]))))))]]], (713 ^ _209677) ^ [_236617, _236619, _236621, _236623, _236625, _236627] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(_236627, _236625), _236619), s(tyop_2Emin_2Efun(_236625, tyop_2Emin_2Ebool), _236617)))), 716 ^ _209677 : [(717 ^ _209677) ^ [_236809] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_236625, tyop_2Emin_2Ebool), _236617), s(_236625, app_2E2(s(tyop_2Emin_2Efun(_236627, _236625), _236619), s(_236627, _236809)))))))]]], (719 ^ _209677) ^ [_236911, _236913, _236915, _236917, _236919, _236921] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_236919, tyop_2Emin_2Ebool), _236911), s(_236919, app_2E2(s(tyop_2Emin_2Efun(_236921, _236919), _236913), s(_236921, 720 ^ [_236911, _236913, _236915, _236917, _236919, _236921])))))), -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(_236921, _236919), _236913), s(tyop_2Emin_2Efun(_236919, tyop_2Emin_2Ebool), _236911)))))], (726 ^ _209677) ^ [_237369, _237371, _237373, _237375, _237377, _237379] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_237379, _237377), _237371), s(tyop_2Emin_2Efun(_237377, tyop_2Emin_2Ebool), _237369)))), 729 ^ _209677 : [(730 ^ _209677) ^ [_237562] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_237377, tyop_2Emin_2Ebool), _237369), s(_237377, app_2E2(s(tyop_2Emin_2Efun(_237379, _237377), _237371), s(_237379, _237562))))))]]], (732 ^ _209677) ^ [_237664, _237666, _237668, _237670, _237672, _237674] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_237672, tyop_2Emin_2Ebool), _237664), s(_237672, app_2E2(s(tyop_2Emin_2Efun(_237674, _237672), _237666), s(_237674, 733 ^ [_237664, _237666, _237668, _237670, _237672, _237674]))))))), -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_237674, _237672), _237666), s(tyop_2Emin_2Efun(_237672, tyop_2Emin_2Ebool), _237664)))))], (750 ^ _209677) ^ [_238729, _238731, _238733, _238735, _238737, _238739] : [752 ^ _209677 : [(753 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_238737, tyop_2Emin_2Ebool), _238729), s(_238737, 751 ^ [_238729, _238731, _238733, _238735, _238737, _238739])))))], (755 ^ _209677) ^ [_239074] : [s(_238737, 751 ^ [_238729, _238731, _238733, _238735, _238737, _238739]) = s(_238737, app_2E2(s(tyop_2Emin_2Efun(_238739, _238737), _238731), s(_238739, _239074)))]], -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(_238739, _238737), _238731), s(tyop_2Emin_2Efun(_238737, tyop_2Emin_2Ebool), _238729)))))], (739 ^ _209677) ^ [_238127, _238129, _238131, _238133, _238135, _238137] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(_238137, _238135), _238129), s(tyop_2Emin_2Efun(_238135, tyop_2Emin_2Ebool), _238127)))), 742 ^ _209677 : [(743 ^ _209677) ^ [_238351] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_238135, tyop_2Emin_2Ebool), _238127), s(_238135, _238351)))), -(s(_238135, _238351) = s(_238135, app_2E2(s(tyop_2Emin_2Efun(_238137, _238135), _238129), s(_238137, 746 ^ [_238127, _238129, _238131, _238133, _238135, _238137, _238351]))))]]], (770 ^ _209677) ^ [_239922, _239924, _239926, _239928, _239930, _239932] : [772 ^ _209677 : [(773 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_239930, tyop_2Emin_2Ebool), _239922), s(_239930, 771 ^ [_239922, _239924, _239926, _239928, _239930, _239932]))))], (775 ^ _209677) ^ [_240270] : [s(_239930, 771 ^ [_239922, _239924, _239926, _239928, _239930, _239932]) = s(_239930, app_2E2(s(tyop_2Emin_2Efun(_239932, _239930), _239924), s(_239932, _240270)))]], -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(_239932, _239930), _239924), s(tyop_2Emin_2Efun(_239930, tyop_2Emin_2Ebool), _239922)))))], (759 ^ _209677) ^ [_239315, _239317, _239319, _239321, _239323, _239325] : [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(_239325, _239323), _239317), s(tyop_2Emin_2Efun(_239323, tyop_2Emin_2Ebool), _239315)))), 762 ^ _209677 : [(763 ^ _209677) ^ [_239541] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_239323, tyop_2Emin_2Ebool), _239315), s(_239323, _239541))))), -(s(_239323, _239541) = s(_239323, app_2E2(s(tyop_2Emin_2Efun(_239325, _239323), _239317), s(_239325, 766 ^ [_239315, _239317, _239319, _239321, _239323, _239325, _239541]))))]]], (779 ^ _209677) ^ [_240537] : [p(s(tyop_2Emin_2Ebool, _240537)), -(p(s(tyop_2Emin_2Ebool, _240537)))], (785 ^ _209677) ^ [_240705] : [p(s(tyop_2Emin_2Ebool, _240705)), -(p(s(tyop_2Emin_2Ebool, _240705)))], (791 ^ _209677) ^ [_240909] : [p(s(tyop_2Emin_2Ebool, _240909)), -(p(s(tyop_2Emin_2Ebool, _240909))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (801 ^ _209677) ^ [_241232, _241234] : [802 ^ _209677 : [(803 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _241232))], (805 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _241234))], (807 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 810 ^ _209677 : [(811 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _241232)))], (813 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, _241234))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (821 ^ _209677) ^ [_241799, _241801] : [822 ^ _209677 : [(829 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _241801))], (831 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (823 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _241799)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, _241799))), -(p(s(tyop_2Emin_2Ebool, _241801)))], (843 ^ _209677) ^ [_242461, _242463] : [844 ^ _209677 : [(845 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _242461)))], (847 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _242463))], (849 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _242461)), -(p(s(tyop_2Emin_2Ebool, _242463))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (861 ^ _209677) ^ [_242962, _242964] : [862 ^ _209677 : [(863 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _242962)))], (865 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _242964))], (867 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), p(s(tyop_2Emin_2Ebool, _242962)), -(p(s(tyop_2Emin_2Ebool, _242964)))], (879 ^ _209677) ^ [_243497] : [880 ^ _209677 : [(881 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _243497))], (883 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 886 ^ _209677 : [(887 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243497)))], (889 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (945 ^ _209677) ^ [_245439, _245441, _245443] : [948 ^ _209677 : [(949 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245439))], (951 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245441))], (953 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245443))]], 956 ^ _209677 : [(957 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245439))], (959 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245443)))], (961 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245441)))]], 964 ^ _209677 : [(965 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245441))], (967 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245443)))], (969 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245439)))]], 970 ^ _209677 : [(971 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245443))], (973 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245441)))], (975 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _245439)))]], 976 ^ _209677 : [(977 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _245439)), -(s(tyop_2Emin_2Ebool, _245441) = s(tyop_2Emin_2Ebool, _245443))], (983 ^ _209677) ^ [] : [s(tyop_2Emin_2Ebool, _245441) = s(tyop_2Emin_2Ebool, _245443), -(p(s(tyop_2Emin_2Ebool, _245439)))]]], (893 ^ _209677) ^ [_243966, _243968, _243970] : [896 ^ _209677 : [(897 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243966)))], (899 ^ _209677) ^ [] : [s(tyop_2Emin_2Ebool, _243968) = s(tyop_2Emin_2Ebool, _243970)]], 900 ^ _209677 : [(901 ^ _209677) ^ [] : [-(s(tyop_2Emin_2Ebool, _243968) = s(tyop_2Emin_2Ebool, _243970))], (903 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _243966))]], 904 ^ _209677 : [(905 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243966))), -(p(s(tyop_2Emin_2Ebool, _243968))), -(p(s(tyop_2Emin_2Ebool, _243970)))], (915 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243966))), p(s(tyop_2Emin_2Ebool, _243970)), p(s(tyop_2Emin_2Ebool, _243968))], (925 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243968))), p(s(tyop_2Emin_2Ebool, _243970)), p(s(tyop_2Emin_2Ebool, _243966))], (935 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _243970))), p(s(tyop_2Emin_2Ebool, _243968)), p(s(tyop_2Emin_2Ebool, _243966))]]], (1029 ^ _209677) ^ [_248094, _248096, _248098] : [1032 ^ _209677 : [(1033 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248094))], (1035 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _248096)))]], 1038 ^ _209677 : [(1039 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248094))], (1041 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _248098)))]], 1042 ^ _209677 : [(1043 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248096))], (1045 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248098))], (1047 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _248094)))]], 1048 ^ _209677 : [(1059 ^ _209677) ^ [] : [1060 ^ _209677 : [(1061 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248096))], (1063 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248098))]], -(p(s(tyop_2Emin_2Ebool, _248094)))], (1049 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _248094)), -(p(s(tyop_2Emin_2Ebool, _248096))), -(p(s(tyop_2Emin_2Ebool, _248098)))]]], (989 ^ _209677) ^ [_246939, _246941, _246943] : [992 ^ _209677 : [(993 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _246939)))], (995 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _246941))], (997 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _246943))]], 998 ^ _209677 : [(1005 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _246939))], (999 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _246941))), -(p(s(tyop_2Emin_2Ebool, _246943)))]], 1006 ^ _209677 : [(1007 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _246939))), p(s(tyop_2Emin_2Ebool, _246941))], (1013 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _246939))), p(s(tyop_2Emin_2Ebool, _246943))], (1019 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _246941))), -(p(s(tyop_2Emin_2Ebool, _246943))), p(s(tyop_2Emin_2Ebool, _246939))]]], (1107 ^ _209677) ^ [_250482, _250484, _250486] : [1110 ^ _209677 : [(1111 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250482))], (1113 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250484))]], 1116 ^ _209677 : [(1117 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250482))], (1119 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _250486)))]], 1120 ^ _209677 : [(1121 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _250484)))], (1123 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250486))], (1125 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _250482)))]], 1126 ^ _209677 : [(1137 ^ _209677) ^ [] : [1138 ^ _209677 : [(1139 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _250484)))], (1141 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250486))]], -(p(s(tyop_2Emin_2Ebool, _250482)))], (1127 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _250482)), p(s(tyop_2Emin_2Ebool, _250484)), -(p(s(tyop_2Emin_2Ebool, _250486)))]]], (1067 ^ _209677) ^ [_249327, _249329, _249331] : [1070 ^ _209677 : [(1071 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _249327)))], (1073 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _249329)))], (1075 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _249331))]], 1076 ^ _209677 : [(1083 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _249327))], (1077 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _249329)), -(p(s(tyop_2Emin_2Ebool, _249331)))]], 1084 ^ _209677 : [(1085 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _249327))), -(p(s(tyop_2Emin_2Ebool, _249329)))], (1091 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _249327))), p(s(tyop_2Emin_2Ebool, _249331))], (1097 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _249329)), -(p(s(tyop_2Emin_2Ebool, _249331))), p(s(tyop_2Emin_2Ebool, _249327))]]], (1193 ^ _209677) ^ [_253125, _253127] : [-(p(s(tyop_2Emin_2Ebool, _253125))), p(s(tyop_2Emin_2Ebool, _253125)), -(p(s(tyop_2Emin_2Ebool, _253127)))], (1203 ^ _209677) ^ [_253419, _253421] : [p(s(tyop_2Emin_2Ebool, _253421)), p(s(tyop_2Emin_2Ebool, _253419)), -(p(s(tyop_2Emin_2Ebool, _253421)))], (1145 ^ _209677) ^ [_251701, _251703] : [1148 ^ _209677 : [(1149 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _251701)))], (1151 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _251703)))]], 1152 ^ _209677 : [(1153 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _251703))], (1155 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _251701))]], 1156 ^ _209677 : [(1157 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _251701))), -(p(s(tyop_2Emin_2Ebool, _251703)))], (1163 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _251703)), p(s(tyop_2Emin_2Ebool, _251701))]]], (1169 ^ _209677) ^ [_252388, _252390] : [1172 ^ _209677 : [(1173 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _252388))], (1175 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _252390))]], 1176 ^ _209677 : [(1177 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _252390)))], (1179 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _252388)))]], 1180 ^ _209677 : [(1181 ^ _209677) ^ [] : [p(s(tyop_2Emin_2Ebool, _252388)), p(s(tyop_2Emin_2Ebool, _252390))], (1187 ^ _209677) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _252390))), -(p(s(tyop_2Emin_2Ebool, _252388)))]]]], input).
% 15.21/14.87  ncf('1',plain,[p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ [])))), 730 : p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ []), s(1212 ^ [], app_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]))))))],start(726 ^ 0,bind([[_237369, _237371, _237373, _237375, _237377, _237379, _237562], [1215 ^ [], 1214 ^ [], _132180, _132182, 1212 ^ [], 1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]]]))).
% 15.21/14.87  ncf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ [])))))],extension(1224 ^ 1)).
% 15.21/14.87  ncf('1.2',plain,[-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1215 ^ []), s(1212 ^ [], app_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]))))))), p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ []), s(1212 ^ [], app_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]))))))],extension(1218 ^ 3,bind([[_254769], [app_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]))]]))).
% 15.21/14.87  ncf('1.2.1',plain,[-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ []), s(1212 ^ [], app_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(1213 ^ [], 733 ^ [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]))))))), -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ [])))))],extension(732 ^ 4,bind([[_237664, _237666, _237668, _237670, _237672, _237674], [1216 ^ [], 1214 ^ [], _150184, _150186, 1212 ^ [], 1213 ^ []]]))).
% 15.21/14.87  ncf('1.2.1.1',plain,[p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(1213 ^ [], 1212 ^ []), 1214 ^ []), s(tyop_2Emin_2Efun(1212 ^ [], tyop_2Emin_2Ebool), 1216 ^ []))))],extension(1226 ^ 5)).
% 15.21/14.87  %-----------------------------------------------------
% 15.21/14.87  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------