TSTP Solution File: SCT171+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 03:30:46 EDT 2022
% Result : Theorem 49.99s 31.09s
% Output : Proof 49.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n018.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 : Sat Sep 3 00:49:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.43 Start search
% 0.18/0.46 nb_step : 1 - limit : 294
% 0.18/0.47 Launch Gotab with destructive = true
% 49.85/31.00 % SZS output start Proof for theBenchmark.p
% 49.99/31.09 [0] ALPHA_AND : (is_fun631676118l_bool(arrow_1212118780le_IIA) & is_fun432044380l_bool(arrow_1239002508le_Lin) & is_fun959573582l_bool(arrow_413697182e_Prof) & is_fun631676118l_bool(arrow_467566751nimity) & ! [B_1_179_79, B_2_180_80] : (is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_179_79, B_2_180_80))) & ! [B_1_181_81, B_2_182_82] : ((is_fun917378774i_bool(B_2_182_82) => is_bool(inj_on24934938di_nat(B_1_181_81, B_2_182_82)))) & ! [B_1_183_83, B_2_184_84] : ((is_fun917378774i_bool(B_1_183_83) => is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_183_83, B_2_184_84)))) & ! [B_1_185_85, B_2_186_86] : ((is_fun959573582l_bool(B_1_185_85) => is_fun631676118l_bool(pi_fun433100839t_bool(B_1_185_85, B_2_186_86)))) & ! [B_1_187_87, B_2_188_88] : ((is_fun282293932t_bool(B_1_187_87) => is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_187_87, B_2_188_88)))) & is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)) & is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)) & is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt, arrow_1812558424le_alt), bool))) & ! [B_1_189_89, B_2_190_90] : ((is_fun917378774i_bool(B_1_189_89) => is_fun1016509681e_indi(hilber1792103167di_nat(B_1_189_89, B_2_190_90)))) & is_bool(top_top_bool) & is_fun917378774i_bool(top_to1256827021i_bool) & is_fun959573582l_bool(top_to1194196741l_bool) & is_fun631676118l_bool(top_to40512653l_bool) & is_fun432044380l_bool(top_to2005687013l_bool) & is_fun282293932t_bool(top_to2034604131t_bool) & ! [B_1_191_91] : ((is_fun917378774i_bool(B_1_191_91) => is_fun917378774i_bool(collec45183100e_indi(B_1_191_91)))) & ! [B_1_192_92] : ((is_fun959573582l_bool(B_1_192_92) => is_fun959573582l_bool(collec1580242420t_bool(B_1_192_92)))) & ! [B_1_193_93] : ((is_fun631676118l_bool(B_1_193_93) => is_fun631676118l_bool(collec1520786044t_bool(B_1_193_93)))) & ! [B_1_194_94] : ((is_fun432044380l_bool(B_1_194_94) => is_fun432044380l_bool(collec874260222t_bool(B_1_194_94)))) & ! [B_1_195_95] : ((is_fun282293932t_bool(B_1_195_95) => is_fun282293932t_bool(collec1711870802le_alt(B_1_195_95)))) & is_bool(fFalse) & is_bool(fTrue) & ! [B_1_196_96, B_2_197_97] : ((is_Arr553848933le_alt(B_2_197_97) => is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_196_96, B_2_197_97)))) & ! [B_1_198_98, B_2_199_99] : (((is_fun917378774i_bool(B_1_198_98) & is_Arr625519182e_indi(B_2_199_99)) => is_bool(hAPP_A1466488369i_bool(B_1_198_98, B_2_199_99)))) & ! [B_1_1100_100, B_2_1101_101] : ((is_Arr625519182e_indi(B_2_1101_101) => is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1100_100, B_2_1101_101)))) & ! [B_1_1102_102, B_2_1103_103] : ((is_Arr625519182e_indi(B_2_1103_103) => is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1102_102, B_2_1103_103)))) & ! [B_1_1104_104, B_2_1105_105] : ((is_Arr625519182e_indi(B_2_1105_105) => is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1104_104, B_2_1105_105)))) & ! [B_1_1106_106, B_2_1107_107] : ((is_Arr625519182e_indi(B_2_1107_107) => is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1106_106, B_2_1107_107)))) & ! [B_1_1108_108, B_2_1109_109] : ((is_bool(B_2_1109_109) => is_bool(hAPP_bool_bool(B_1_1108_108, B_2_1109_109)))) & ! [B_1_1110_110, B_2_1111_111] : ((is_bool(B_2_1111_111) => is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1110_110, B_2_1111_111)))) & ! [B_1_1112_112, B_2_1113_113] : ((is_bool(B_2_1113_113) => is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1112_112, B_2_1113_113)))) & ! [B_1_1114_114, B_2_1115_115] : ((is_bool(B_2_1115_115) => is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1114_114, B_2_1115_115)))) & ! [B_1_1116_116, B_2_1117_117] : ((is_bool(B_2_1117_117) => is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1116_116, B_2_1117_117)))) & ! [B_1_1118_118, B_2_1119_119] : ((is_bool(B_2_1119_119) => is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1118_118, B_2_1119_119)))) & ! [B_1_1120_120, B_2_1121_121] : ((is_fun1016509681e_indi(B_1_1120_120) => is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1120_120, B_2_1121_121)))) & ! [B_1_1122_122, B_2_1123_123] : (is_bool(hAPP_nat_bool(B_1_1122_122, B_2_1123_123))) & ! [B_1_1124_124, B_2_1125_125] : ((is_fun917378774i_bool(B_2_1125_125) => is_bool(hAPP_f919661787l_bool(B_1_1124_124, B_2_1125_125)))) & ! [B_1_1126_126, B_2_1127_127] : (is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1126_126, B_2_1127_127))) & ! [B_1_1128_128, B_2_1129_129] : ((is_fun959573582l_bool(B_1_1128_128) => is_bool(hAPP_f1636546729l_bool(B_1_1128_128, B_2_1129_129)))) & ! [B_1_1130_130, B_2_1131_131] : (is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1130_130, B_2_1131_131))) & ! [B_1_1132_132, B_2_1133_133] : (is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1132_132, B_2_1133_133))) & ! [B_1_1134_134, B_2_1135_135] : (is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1134_134, B_2_1135_135))) & ! [B_1_1136_136, B_2_1137_137] : (is_bool(hAPP_f387058535l_bool(B_1_1136_136, B_2_1137_137))) & ! [B_1_1138_138, B_2_1139_139] : (is_bool(hAPP_f204273237l_bool(B_1_1138_138, B_2_1139_139))) & ! [B_1_1140_140, B_2_1141_141] : (is_bool(hAPP_f1012384989l_bool(B_1_1140_140, B_2_1141_141))) & ! [B_1_1142_142, B_2_1143_143] : ((is_fun959573582l_bool(B_2_1143_143) => is_bool(hAPP_f453661011l_bool(B_1_1142_142, B_2_1143_143)))) & ! [B_1_1144_144, B_2_1145_145] : (is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1144_144, B_2_1145_145))) & ! [B_1_1146_146, B_2_1147_147] : ((is_fun631676118l_bool(B_1_1146_146) => is_bool(hAPP_f785543729l_bool(B_1_1146_146, B_2_1147_147)))) & ! [B_1_1148_148, B_2_1149_149] : (is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1148_148, B_2_1149_149))) & ! [B_1_1150_150, B_2_1151_151] : (is_bool(hAPP_f483434675l_bool(B_1_1150_150, B_2_1151_151))) & ! [B_1_1152_152, B_2_1153_153] : (is_bool(hAPP_f1018082273l_bool(B_1_1152_152, B_2_1153_153))) & ! [B_1_1154_154, B_2_1155_155] : (is_bool(hAPP_f1271180905l_bool(B_1_1154_154, B_2_1155_155))) & ! [B_1_1156_156, B_2_1157_157] : (is_bool(hAPP_f1550037191l_bool(B_1_1156_156, B_2_1157_157))) & ! [B_1_1158_158, B_2_1159_159] : (is_bool(hAPP_f1895985727l_bool(B_1_1158_158, B_2_1159_159))) & ! [B_1_1160_160, B_2_1161_161] : (is_bool(hAPP_f234874197l_bool(B_1_1160_160, B_2_1161_161))) & ! [B_1_1162_162, B_2_1163_163] : (is_bool(hAPP_f500145249l_bool(B_1_1162_162, B_2_1163_163))) & ! [B_1_1164_164, B_2_1165_165] : ((is_fun631676118l_bool(B_2_1165_165) => is_bool(hAPP_f213304539l_bool(B_1_1164_164, B_2_1165_165)))) & ! [B_1_1166_166, B_2_1167_167] : (is_bool(hAPP_f1766869725l_bool(B_1_1166_166, B_2_1167_167))) & ! [B_1_1168_168, B_2_1169_169] : (is_bool(hAPP_f1279200745l_bool(B_1_1168_168, B_2_1169_169))) & ! [B_1_1170_170, B_2_1171_171] : (is_bool(hAPP_f592909149l_bool(B_1_1170_170, B_2_1171_171))) & ! [B_1_1172_172, B_2_1173_173] : (is_bool(hAPP_f526292585l_bool(B_1_1172_172, B_2_1173_173))) & ! [B_1_1174_174, B_2_1175_175] : (is_bool(hAPP_f460310451l_bool(B_1_1174_174, B_2_1175_175))) & ! [B_1_1176_176, B_2_1177_177] : ((is_fun432044380l_bool(B_2_1177_177) => is_bool(hAPP_f503012287l_bool(B_1_1176_176, B_2_1177_177)))) & ! [B_1_1178_178, B_2_1179_179] : ((is_fun282293932t_bool(B_2_1179_179) => is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1178_178, B_2_1179_179)))) & ! [B_1_1180_180, B_2_1181_181] : (((is_fun432044380l_bool(B_1_1180_180) & is_fun282293932t_bool(B_2_1181_181)) => is_bool(hAPP_f745298353l_bool(B_1_1180_180, B_2_1181_181)))) & ! [B_1_1182_182, B_2_1183_183] : ((is_fun282293932t_bool(B_2_1183_183) => is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1182_182, B_2_1183_183)))) & ! [B_1_1184_184, B_2_1185_185] : ((is_fun282293932t_bool(B_2_1185_185) => is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1184_184, B_2_1185_185)))) & ! [B_1_1186_186, B_2_1187_187] : ((is_fun282293932t_bool(B_2_1187_187) => is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1186_186, B_2_1187_187)))) & ! [B_1_1188_188, B_2_1189_189] : (is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1188_188, B_2_1189_189))) & ! [B_1_1190_190, B_2_1191_191] : ((is_fun282293932t_bool(B_1_1190_190) => is_bool(hAPP_P2075002375t_bool(B_1_1190_190, B_2_1191_191)))) & ! [B_1_1192_192, B_2_1193_193] : (is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1192_192, B_2_1193_193))) & ! [B_1_1194_194] : (is_fun432044380l_bool(member1056080916le_alt(B_1_1194_194))) & is_fun282293932t_bool(lab) & is_fun282293932t_bool(lba) & is_Arr553848933le_alt(a) & is_Arr553848933le_alt(b) & is_Arr553848933le_alt(c) & is_Arr553848933le_alt(d) & is_Arr553848933le_alt(e) & hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA, f)) & hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity, f)) & ~=(c, d) & hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p), arrow_413697182e_Prof)) & ! [X_2195_195, Y_1196_196, L197_197, Z_1198_198] : ((((is_Arr553848933le_alt(X_2195_195) & is_Arr553848933le_alt(Y_1196_196)) & is_Arr553848933le_alt(Z_1198_198)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2195_195, Y_1196_196)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, L197_197), Z_1198_198))) <=> ((~=(Y_1196_196, Z_1198_198) & (=(X_2195_195, Z_1198_198) => ~=(X_2195_195, Y_1196_196))) & (~=(X_2195_195, Z_1198_198) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2195_195, Y_1196_196)), L197_197))))))) & ! [X_2199_199, Y_1200_200, L201_201, Z_1202_202] : ((((is_Arr553848933le_alt(X_2199_199) & is_Arr553848933le_alt(Y_1200_200)) & is_Arr553848933le_alt(Z_1202_202)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2199_199, Y_1200_200)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, L201_201), Z_1202_202))) <=> ((~=(X_2199_199, Z_1202_202) & (=(Y_1200_200, Z_1202_202) => ~=(X_2199_199, Y_1200_200))) & (~=(Y_1200_200, Z_1202_202) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2199_199, Y_1200_200)), L201_201))))))) & ! [P_1203_203, Pa204_204, A_8205_205, B_8206_206, Aa207_207, Ba208_208] : (((((is_Arr553848933le_alt(A_8205_205) & is_Arr553848933le_alt(B_8206_206)) & is_Arr553848933le_alt(Aa207_207)) & is_Arr553848933le_alt(Ba208_208)) => (~=(Aa207_207, Ba208_208) => (~=(A_8205_205, B_8206_206) => (~=(Aa207_207, B_8206_206) => (~=(Ba208_208, A_8205_205) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa204_204), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1203_203), arrow_413697182e_Prof)) => (! [I209_209] : ((is_Arr625519182e_indi(I209_209) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa207_207, Ba208_208)), hAPP_A1374816149t_bool(Pa204_204, I209_209))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8205_205, B_8206_206)), hAPP_A1374816149t_bool(P_1203_203, I209_209)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa207_207, Ba208_208)), hAPP_f695124765t_bool(f, Pa204_204))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8205_205, B_8206_206)), hAPP_f695124765t_bool(f, P_1203_203))))))))))))) & ! [P_1210_210, Pa211_211, A_8212_212, B_8213_213, Aa214_214, Ba215_215] : (((((is_Arr553848933le_alt(A_8212_212) & is_Arr553848933le_alt(B_8213_213)) & is_Arr553848933le_alt(Aa214_214)) & is_Arr553848933le_alt(Ba215_215)) => (~=(Aa214_214, Ba215_215) => (~=(A_8212_212, B_8213_213) => (~=(Aa214_214, B_8213_213) => (~=(Ba215_215, A_8212_212) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa211_211), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1210_210), arrow_413697182e_Prof)) => (! [I216_216] : ((is_Arr625519182e_indi(I216_216) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa214_214, Ba215_215)), hAPP_A1374816149t_bool(Pa211_211, I216_216))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8212_212, B_8213_213)), hAPP_A1374816149t_bool(P_1210_210, I216_216)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa214_214, Ba215_215)), hAPP_f695124765t_bool(f, Pa211_211))) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8212_212, B_8213_213)), hAPP_f695124765t_bool(f, P_1210_210))))))))))))) & ! [P_1217_217, Pa218_218, Ca219_219, Aa220_220, Ba221_221] : ((((is_Arr553848933le_alt(Ca219_219) & is_Arr553848933le_alt(Aa220_220)) & is_Arr553848933le_alt(Ba221_221)) => (~=(Aa220_220, Ba221_221) => (~=(Ba221_221, Ca219_219) => (~=(Aa220_220, Ca219_219) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa218_218), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1217_217), arrow_413697182e_Prof)) => (! [I222_222] : ((is_Arr625519182e_indi(I222_222) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa220_220, Ba221_221)), hAPP_A1374816149t_bool(Pa218_218, I222_222))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba221_221, Ca219_219)), hAPP_A1374816149t_bool(P_1217_217, I222_222)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa220_220, Ba221_221)), hAPP_f695124765t_bool(f, Pa218_218))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba221_221, Ca219_219)), hAPP_f695124765t_bool(f, P_1217_217)))))))))))) & ! [P_1223_223, Pa224_224, A_8225_225, B_8226_226, Aa227_227, Ba228_228] : (((((is_Arr553848933le_alt(A_8225_225) & is_Arr553848933le_alt(B_8226_226)) & is_Arr553848933le_alt(Aa227_227)) & is_Arr553848933le_alt(Ba228_228)) => (~=(Aa227_227, Ba228_228) => (~=(A_8225_225, B_8226_226) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa224_224), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1223_223), arrow_413697182e_Prof)) => (! [I229_229] : ((is_Arr625519182e_indi(I229_229) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa227_227, Ba228_228)), hAPP_A1374816149t_bool(Pa224_224, I229_229))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8225_225, B_8226_226)), hAPP_A1374816149t_bool(P_1223_223, I229_229)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa227_227, Ba228_228)), hAPP_f695124765t_bool(f, Pa224_224))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8225_225, B_8226_226)), hAPP_f695124765t_bool(f, P_1223_223))))))))))) & ! [P_1230_230, Pa231_231, Aa232_232, Ba233_233] : (((is_Arr553848933le_alt(Aa232_232) & is_Arr553848933le_alt(Ba233_233)) => (~=(Aa232_232, Ba233_233) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa231_231), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1230_230), arrow_413697182e_Prof)) => (! [I234_234] : ((is_Arr625519182e_indi(I234_234) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa232_232, Ba233_233)), hAPP_A1374816149t_bool(Pa231_231, I234_234))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba233_233, Aa232_232)), hAPP_A1374816149t_bool(P_1230_230, I234_234)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa232_232, Ba233_233)), hAPP_f695124765t_bool(f, Pa231_231))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba233_233, Aa232_232)), hAPP_f695124765t_bool(f, P_1230_230)))))))))) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)))) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))) & (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e))))))) & ! [Pa236_236] : ((! [X1237_237] : (hBOOL(hAPP_P2075002375t_bool(Pa236_236, X1237_237))) <=> ! [A_1238_238, B_1239_239] : (((is_Arr553848933le_alt(A_1238_238) & is_Arr553848933le_alt(B_1239_239)) => hBOOL(hAPP_P2075002375t_bool(Pa236_236, produc171383831le_alt(A_1238_238, B_1239_239))))))) & hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))), arrow_413697182e_Prof)) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, e)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))) & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, n), finite120254591e_indi(top_to1256827021i_bool))) & hBOOL(inj_on24934938di_nat(h, top_to1256827021i_bool)) & ! [A_10240_240, B_10241_241, A_9242_242, B_9243_243] : (((((is_Arr553848933le_alt(A_10240_240) & is_Arr553848933le_alt(B_10241_241)) & is_Arr553848933le_alt(A_9242_242)) & is_Arr553848933le_alt(B_9243_243)) => (=(produc171383831le_alt(A_10240_240, B_10241_241), produc171383831le_alt(A_9242_242, B_9243_243)) => ~(=(A_10240_240, A_9242_242) => ~=(B_10241_241, B_9243_243))))) & ! [Aa244_244, Ba245_245, A_8246_246, B_8247_247] : (((((is_Arr553848933le_alt(Aa244_244) & is_Arr553848933le_alt(Ba245_245)) & is_Arr553848933le_alt(A_8246_246)) & is_Arr553848933le_alt(B_8247_247)) => (=(produc171383831le_alt(Aa244_244, Ba245_245), produc171383831le_alt(A_8246_246, B_8247_247)) <=> (=(Aa244_244, A_8246_246) & =(Ba245_245, B_8247_247))))) & ! [X_2259_259] : (hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool, X_2259_259))) & ! [X_2260_260] : (hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool, X_2260_260))) & ! [X_2261_261] : (hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool, X_2261_261))) & ! [X_2262_262] : (hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool, X_2262_262))) & ! [X_2263_263] : (hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool, X_2263_263))) & ! [X_2264_264] : (hBOOL(hAPP_f387058535l_bool(member_bool(X_2264_264), top_to1647826457l_bool))) & ! [X_2265_265] : (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2265_265), top_to1256827021i_bool))) & ! [X_2266_266] : (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2266_266), top_to2034604131t_bool))) & ! [X_2267_267] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2267_267), top_to1194196741l_bool))) & ! [X_2268_268] : (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2268_268), top_to40512653l_bool))) & ! [X_2269_269] : (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2269_269), top_to2005687013l_bool))) & ! [X_2270_270] : (hBOOL(hAPP_f387058535l_bool(member_bool(X_2270_270), top_to1647826457l_bool))) & ! [X_2271_271] : (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2271_271), top_to1256827021i_bool))) & ! [X_2272_272] : (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2272_272), top_to2034604131t_bool))) & ! [X_2273_273] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2273_273), top_to1194196741l_bool))) & ! [X_2274_274] : (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2274_274), top_to40512653l_bool))) & ! [X_2275_275] : (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2275_275), top_to2005687013l_bool))) & ! [X_2276_276] : ((hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool, X_2276_276)) <=> hBOOL(top_top_bool))) & ! [X_2277_277] : ((hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool, X_2277_277)) <=> hBOOL(top_top_bool))) & ! [X_2278_278] : ((hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool, X_2278_278)) <=> hBOOL(top_top_bool))) & ! [X_2279_279] : ((hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool, X_2279_279)) <=> hBOOL(top_top_bool))) & ! [X_2280_280] : ((hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool, X_2280_280)) <=> hBOOL(top_top_bool))) & ! [Aa281_281] : (~hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool, top_to2005687013l_bool), Aa281_281))) & ! [Aa282_282] : (~hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool, top_to1194196741l_bool), Aa282_282))) & ! [Aa283_283] : (~hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool, top_to40512653l_bool), Aa283_283))) & ! [Aa284_284] : (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool, top_top_bool), Aa284_284))) & ! [Aa285_285] : (~hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool, top_to2034604131t_bool), Aa285_285))) & ! [Aa286_286] : (~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, top_to1256827021i_bool), Aa286_286))) & ! [X_14287_287, Y_13288_288] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_14287_287), Y_13288_288)) => (~=(X_14287_287, Y_13288_288) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_13288_288), X_14287_287))))) & ! [X_2289_289, Y_1290_290] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2289_289), Y_1290_290)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1290_290), X_2289_289)))) & ! [X_13291_291, Y_12292_292] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_13291_291), Y_12292_292)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_12292_292), X_13291_291)))) & ! [Z_1293_293, Y_1294_294, X_2295_295] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1294_294), X_2295_295)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Z_1293_293), Y_1294_294)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Z_1293_293), X_2295_295))))) & ! [Z_2296_296, Y_11297_297, X_12298_298] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_11297_297), X_12298_298)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Z_2296_296), Y_11297_297)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Z_2296_296), X_12298_298))))) & ! [Z_1299_299, X_2300_300, Y_1301_301] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2300_300), Y_1301_301)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1301_301), Z_1299_299)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2300_300), Z_1299_299))))) & ! [Z302_302, X_11303_303, Y_10304_304] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_11303_303), Y_10304_304)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_10304_304), Z302_302)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_11303_303), Z302_302))))) & ! [Ca305_305, Ba306_306, Aa307_307] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba306_306), Aa307_307)) => (=(Ba306_306, Ca305_305) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca305_305), Aa307_307))))) & ! [C_3308_308, B_7309_309, A_7310_310] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_7309_309), A_7310_310)) => (=(B_7309_309, C_3308_308) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_3308_308), A_7310_310))))) & ! [Ca311_311, Aa312_312, Ba313_313] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa312_312), Ba313_313)) => (=(Ba313_313, Ca311_311) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa312_312), Ca311_311))))) & ! [C_2314_314, A_6315_315, B_6316_316] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_6315_315), B_6316_316)) => (=(B_6316_316, C_2314_314) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_6315_315), C_2314_314))))) & ! [Ca317_317, Aa318_318, Ba319_319] : ((=(Aa318_318, Ba319_319) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca317_317), Ba319_319)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca317_317), Aa318_318))))) & ! [C_1320_320, A_5321_321, B_5322_322] : ((=(A_5321_321, B_5322_322) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_1320_320), B_5322_322)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_1320_320), A_5321_321))))) & ! [Ca323_323, Aa324_324, Ba325_325] : ((=(Aa324_324, Ba325_325) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba325_325), Ca323_323)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa324_324), Ca323_323))))) & ! [C326_326, A_4327_327, B_4328_328] : ((=(A_4327_327, B_4328_328) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_4328_328), C326_326)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_4327_327), C326_326))))) & ! [Ba329_329, Aa330_330] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba329_329), Aa330_330)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa330_330), Ba329_329)))) & ! [B_3331_331, A_3332_332] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_3331_331), A_3332_332)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_3332_332), B_3331_331)))) & ! [Aa333_333, Ba334_334] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa333_333), Ba334_334)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba334_334), Aa333_333)))) & ! [A_2335_335, B_2336_336] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_2335_335), B_2336_336)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_2336_336), A_2335_335)))) & ! [Pa337_337, X_2338_338, Y_1339_339] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2338_338), Y_1339_339)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1339_339), X_2338_338)) => hBOOL(Pa337_337)))) & ! [Pa340_340, X_2341_341, Y_1342_342] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2341_341), Y_1342_342)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1342_342), X_2341_341)) => hBOOL(Pa340_340)))) & ! [X_2343_343, Y_1344_344] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2343_343), Y_1344_344)) => ~=(Y_1344_344, X_2343_343))) & ! [X_10345_345, Y_9346_346] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_10345_345), Y_9346_346)) => ~=(Y_9346_346, X_10345_345))) & ! [X_2347_347, Y_1348_348] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2347_347), Y_1348_348)) => ~=(X_2347_347, Y_1348_348))) & ! [X_9349_349, Y_8350_350] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_9349_349), Y_8350_350)) => ~=(X_9349_349, Y_8350_350))) & ! [X_2351_351, Y_1352_352] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2351_351), Y_1352_352)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1352_352), X_2351_351)))) & ! [X_8353_353, Y_7354_354] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_8353_353), Y_7354_354)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_7354_354), X_8353_353)))) & ! [X_2355_355, Y_1356_356] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2355_355), Y_1356_356)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1356_356), X_2355_355)))) & ! [X_7357_357, Y_6358_358] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_7357_357), Y_6358_358)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_6358_358), X_7357_357)))) & ! [X_2359_359, Y_1360_360] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2359_359), Y_1360_360)) => ~=(X_2359_359, Y_1360_360))) & ! [X_6361_361, Y_5362_362] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_6361_361), Y_5362_362)) => ~=(X_6361_361, Y_5362_362))) & ! [X_5363_363, Y_4364_364] : ((~=(X_5363_363, Y_4364_364) => (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_5363_363), Y_4364_364)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_4364_364), X_5363_363))))) & ! [Y_1365_365, X_2366_366] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1365_365), X_2366_366)) => (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2366_366), Y_1365_365)) <=> =(X_2366_366, Y_1365_365)))) & ! [X_4367_367, Y_3368_368] : (((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_4367_367), Y_3368_368)) | =(X_4367_367, Y_3368_368)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_3368_368), X_4367_367)))) & ! [X_2371_371, Y_1372_372] : ((~=(X_2371_371, Y_1372_372) <=> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2371_371), Y_1372_372)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1372_372), X_2371_371))))) & ! [X_2373_373] : (~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2373_373), X_2373_373))) & ! [X_3374_374] : (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_3374_374), X_3374_374))) & =(top_to2005687013l_bool, collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool, fTrue))) & =(top_to1194196741l_bool, collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool, fTrue))) & =(top_to40512653l_bool, collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool, fTrue))) & =(top_to2034604131t_bool, collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt, fTrue))) & =(top_to1256827021i_bool, collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi, fTrue))) & ! [S375_375, R_1376_376] : (((is_fun282293932t_bool(S375_375) & is_fun282293932t_bool(R_1376_376)) => (! [X_1377_377, Xa378_378] : (((is_Arr553848933le_alt(X_1377_377) & is_Arr553848933le_alt(Xa378_378)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1377_377, Xa378_378)), R_1376_376)) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1377_377, Xa378_378)), S375_375))))) <=> =(R_1376_376, S375_375)))) & ! [Aa379_379] : ((is_fun432044380l_bool(Aa379_379) => (~=(Aa379_379, top_to2005687013l_bool) <=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool, Aa379_379), top_to2005687013l_bool))))) & ! [Aa380_380] : ((is_fun959573582l_bool(Aa380_380) => (~=(Aa380_380, top_to1194196741l_bool) <=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool, Aa380_380), top_to1194196741l_bool))))) & ! [Aa381_381] : ((is_fun631676118l_bool(Aa381_381) => (~=(Aa381_381, top_to40512653l_bool) <=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool, Aa381_381), top_to40512653l_bool))))) & ! [Aa383_383] : ((is_fun282293932t_bool(Aa383_383) => (~=(Aa383_383, top_to2034604131t_bool) <=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool, Aa383_383), top_to2034604131t_bool))))) & ! [Aa384_384] : ((is_fun917378774i_bool(Aa384_384) => (~=(Aa384_384, top_to1256827021i_bool) <=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa384_384), top_to1256827021i_bool))))) & ! [X_2385_385, Y_1386_386, F387_387] : ((is_Arr625519182e_indi(X_2385_385) => (hBOOL(inj_on24934938di_nat(F387_387, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F387_387, X_2385_385), Y_1386_386) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, F387_387), Y_1386_386), X_2385_385))))) & ! [X_2388_388, F389_389] : ((is_Arr625519182e_indi(X_2388_388) => (hBOOL(inj_on24934938di_nat(F389_389, top_to1256827021i_bool)) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, F389_389), hAPP_A588601142di_nat(F389_389, X_2388_388)), X_2388_388)))) & ! [X_2390_390, F391_391, A392_392] : ((is_Arr625519182e_indi(X_2390_390) => (hBOOL(inj_on24934938di_nat(F391_391, A392_392)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2390_390), A392_392)) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(A392_392, F391_391), hAPP_A588601142di_nat(F391_391, X_2390_390)), X_2390_390))))) & ! [Y_1393_393, X_2394_394, F395_395, A396_396] : ((is_Arr625519182e_indi(X_2394_394) => (hBOOL(inj_on24934938di_nat(F395_395, A396_396)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2394_394), A396_396)) => (=(hAPP_A588601142di_nat(F395_395, X_2394_394), Y_1393_393) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(A396_396, F395_395), Y_1393_393), X_2394_394)))))) & ! [X_2397_397, Y_1398_398, F399_399] : (((is_Arr625519182e_indi(X_2397_397) & is_Arr625519182e_indi(Y_1398_398)) => (hBOOL(inj_on24934938di_nat(F399_399, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F399_399, X_2397_397), hAPP_A588601142di_nat(F399_399, Y_1398_398)) <=> =(X_2397_397, Y_1398_398))))) & ! [X_2404_404, Y_1405_405, F406_406, A407_407] : (((is_Arr625519182e_indi(X_2404_404) & is_Arr625519182e_indi(Y_1405_405)) => (hBOOL(inj_on24934938di_nat(F406_406, A407_407)) => (~=(X_2404_404, Y_1405_405) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2404_404), A407_407)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1405_405), A407_407)) => ~=(hAPP_A588601142di_nat(F406_406, X_2404_404), hAPP_A588601142di_nat(F406_406, Y_1405_405)))))))) & ! [Y_1408_408, X_2409_409, F410_410, A411_411] : (((is_Arr625519182e_indi(Y_1408_408) & is_Arr625519182e_indi(X_2409_409)) => (hBOOL(inj_on24934938di_nat(F410_410, A411_411)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2409_409), A411_411)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1408_408), A411_411)) => (=(hAPP_A588601142di_nat(F410_410, X_2409_409), hAPP_A588601142di_nat(F410_410, Y_1408_408)) <=> =(X_2409_409, Y_1408_408))))))) & ! [X_2412_412, Y_1413_413, F414_414, A415_415] : (((is_Arr625519182e_indi(X_2412_412) & is_Arr625519182e_indi(Y_1413_413)) => (hBOOL(inj_on24934938di_nat(F414_414, A415_415)) => (=(hAPP_A588601142di_nat(F414_414, X_2412_412), hAPP_A588601142di_nat(F414_414, Y_1413_413)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2412_412), A415_415)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1413_413), A415_415)) => =(X_2412_412, Y_1413_413))))))) & ! [X_2416_416, Y_1417_417, F418_418] : (((is_Arr625519182e_indi(X_2416_416) & is_Arr625519182e_indi(Y_1417_417)) => (hBOOL(inj_on24934938di_nat(F418_418, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F418_418, X_2416_416), hAPP_A588601142di_nat(F418_418, Y_1417_417)) => =(X_2416_416, Y_1417_417))))) & ! [G419_419, F420_420] : ((is_fun1016509681e_indi(G419_419) => (hBOOL(inj_on24934938di_nat(F420_420, top_to1256827021i_bool)) => (! [X_1421_421] : (=(hAPP_A588601142di_nat(F420_420, hAPP_n385347014e_indi(G419_419, X_1421_421)), X_1421_421)) => =(hilber1792103167di_nat(top_to1256827021i_bool, F420_420), G419_419))))) & ! [F422_422] : ((! [X_1423_423, Y_2424_424] : (((is_Arr625519182e_indi(X_1423_423) & is_Arr625519182e_indi(Y_2424_424)) => (=(hAPP_A588601142di_nat(F422_422, X_1423_423), hAPP_A588601142di_nat(F422_422, Y_2424_424)) => =(X_1423_423, Y_2424_424)))) => hBOOL(inj_on24934938di_nat(F422_422, top_to1256827021i_bool)))) & hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f), pi_fun433100839t_bool(arrow_413697182e_Prof, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, arrow_1239002508le_Lin)))) & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba), arrow_1239002508le_Lin)) & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab), arrow_1239002508le_Lin)) & ! [Aa425_425, Ba426_426, L427_427] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L427_427), arrow_1239002508le_Lin)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa425_425, Ba426_426)), L427_427)) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba426_426, Aa425_425)), L427_427))))) & ! [X_2428_428, Y_1429_429, L430_430] : (((is_Arr553848933le_alt(X_2428_428) & is_Arr553848933le_alt(Y_1429_429)) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L430_430), arrow_1239002508le_Lin)) => (~=(X_2428_428, Y_1429_429) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2428_428, Y_1429_429)), L430_430)) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1429_429, X_2428_428)), L430_430))))))) & ! [X_2431_431, A432_432] : ((hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2431_431), A432_432)) <=> hBOOL(hAPP_A1466488369i_bool(A432_432, X_2431_431)))) & ! [X_2433_433, A434_434] : ((hBOOL(hAPP_f387058535l_bool(member_bool(X_2433_433), A434_434)) <=> hBOOL(hAPP_bool_bool(A434_434, X_2433_433)))) & ! [X_2435_435, A436_436] : ((hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2435_435), A436_436)) <=> hBOOL(hAPP_P2075002375t_bool(A436_436, X_2435_435)))) & ! [X_2437_437, A438_438] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2437_437), A438_438)) <=> hBOOL(hAPP_f1636546729l_bool(A438_438, X_2437_437)))) & ! [X_2439_439, A440_440] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2439_439), A440_440)) <=> hBOOL(hAPP_f785543729l_bool(A440_440, X_2439_439)))) & ! [X_2441_441, A442_442] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2441_441), A442_442)) <=> hBOOL(hAPP_f745298353l_bool(A442_442, X_2441_441)))) & ! [Pa443_443] : ((is_fun917378774i_bool(Pa443_443) => =(collec45183100e_indi(Pa443_443), Pa443_443))) & ! [X_2444_444, L445_445] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L445_445), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, L445_445), X_2444_444)), arrow_1239002508le_Lin)))) & ! [X_2446_446, L447_447] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L447_447), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, L447_447), X_2446_446)), arrow_1239002508le_Lin)))) & ! [L448_448, X_2449_449, Y_1450_450] : (((is_Arr553848933le_alt(X_2449_449) & is_Arr553848933le_alt(Y_1450_450)) => (~=(X_2449_449, Y_1450_450) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L448_448), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, L448_448), X_2449_449), Y_1450_450)), arrow_1239002508le_Lin)))))) & ! [L451_451] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L451_451), arrow_1239002508le_Lin)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, L451_451)), arrow_413697182e_Prof)))) & ! [X_2452_452, Y_1453_453, L454_454, Aa455_455, Ba456_456] : (((((is_Arr553848933le_alt(X_2452_452) & is_Arr553848933le_alt(Y_1453_453)) & is_Arr553848933le_alt(Aa455_455)) & is_Arr553848933le_alt(Ba456_456)) => (~=(Aa455_455, Ba456_456) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L454_454), arrow_1239002508le_Lin)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Y_1453_453)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, L454_454), Aa455_455), Ba456_456))) <=> ((~=(X_2452_452, Y_1453_453) & (=(X_2452_452, Ba456_456) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa455_455, Y_1453_453)), L454_454)))) & (~=(X_2452_452, Ba456_456) => ((=(Y_1453_453, Ba456_456) => (=(X_2452_452, Aa455_455) | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Aa455_455)), L454_454)))) & (~=(Y_1453_453, Ba456_456) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Y_1453_453)), L454_454))))))))))) & ! [I_1457_457, Fa458_458] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa458_458), pi_fun433100839t_bool(arrow_413697182e_Prof, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, arrow_1239002508le_Lin)))) => (! [X_1459_459] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1459_459), arrow_413697182e_Prof)) => ! [A_1460_460, B_1461_461] : (((is_Arr553848933le_alt(A_1460_460) & is_Arr553848933le_alt(B_1461_461)) => (~=(A_1460_460, B_1461_461) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1460_460, B_1461_461)), hAPP_A1374816149t_bool(X_1459_459, I_1457_457))) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1460_460, B_1461_461)), hAPP_f695124765t_bool(Fa458_458, X_1459_459))))))))) => hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator, Fa458_458), I_1457_457))))) & ! [X_2462_462, F463_463, A464_464, B465_465] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F463_463), pi_Pro2135156861t_bool(A464_464, B465_465))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F463_463, X_2462_462)), hAPP_P2127852789l_bool(B465_465, X_2462_462))) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2462_462), A464_464))))) & ! [X_2466_466, F467_467, A468_468, B469_469] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F467_467), pi_Arr149813489le_alt(A468_468, B469_469))) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F467_467, X_2466_466)), hAPP_A1374816149t_bool(B469_469, X_2466_466))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2466_466), A468_468))))) & ! [X_2470_470, F471_471, A472_472, B473_473] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F471_471), pi_boo1877522301le_alt(A472_472, B473_473))) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F471_471, X_2470_470)), hAPP_b1024867081t_bool(B473_473, X_2470_470))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2470_470), A472_472))))) & ! [X_2474_474, F475_475, A476_476, B477_477] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F475_475), pi_Arr1511953043t_bool(A476_476, B477_477))) => (~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F475_475, X_2474_474)), hAPP_A1912483895l_bool(B477_477, X_2474_474))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2474_474), A476_476))))) & ! [X_2478_478, F479_479, A480_480, B481_481] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F479_479), pi_boo691944735t_bool(A480_480, B481_481))) => (~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F479_479, X_2478_478)), hAPP_b1719629739l_bool(B481_481, X_2478_478))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2478_478), A480_480))))) & ! [X_2482_482, F483_483, A484_484, B485_485] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F483_483), pi_Arr372473371t_bool(A484_484, B485_485))) => (~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F483_483, X_2482_482)), hAPP_A1964572607l_bool(B485_485, X_2482_482))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2482_482), A484_484))))) & ! [X_2486_486, F487_487, A488_488, B489_489] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F487_487), pi_boo71521447t_bool(A488_488, B489_489))) => (~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F487_487, X_2486_486)), hAPP_b990649139l_bool(B489_489, X_2486_486))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2486_486), A488_488))))) & ! [X_2490_490, F491_491, A492_492, B493_493] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F491_491), pi_boo2007389459t_bool(A492_492, B493_493))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F491_491, X_2490_490)), hAPP_b1965422783l_bool(B493_493, X_2490_490))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2490_490), A492_492))))) & ! [X_2494_494, F495_495, A496_496, B497_497] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F495_495), pi_Pro437273841e_indi(A496_496, B497_497))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F495_495, X_2494_494)), hAPP_P907763049i_bool(B497_497, X_2494_494))) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2494_494), A496_496))))) & ! [X_2498_498, F499_499, A500_500, B501_501] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F499_499), pi_fun1736243859e_indi(A500_500, B501_501))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F499_499, X_2498_498)), hAPP_f749892423i_bool(B501_501, X_2498_498))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2498_498), A500_500))))) & ! [X_2502_502, F503_503, A504_504, B505_505] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F503_503), pi_fun1494794527l_bool(A504_504, B505_505))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F503_503, X_2502_502)), hAPP_f313042899l_bool(B505_505, X_2502_502))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2502_502), A504_504))))) & ! [X_2506_506, F507_507, A508_508, B509_509] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F507_507), pi_fun2075749915e_indi(A508_508, B509_509))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F507_507, X_2506_506)), hAPP_f355113919i_bool(B509_509, X_2506_506))) => ~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2506_506), A508_508))))) & ! [X_2510_510, F511_511, A512_512, B513_513] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F511_511), pi_fun525942951l_bool(A512_512, B513_513))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F511_511, X_2510_510)), hAPP_f497468491l_bool(B513_513, X_2510_510))) => ~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2510_510), A512_512))))) & ! [X_2514_514, F515_515, A516_516, B517_517] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F515_515), pi_fun972956463e_indi(A516_516, B517_517))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F515_515, X_2514_514)), hAPP_f352490559i_bool(B517_517, X_2514_514))) => ~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2514_514), A516_516))))) & ! [X_2518_518, F519_519, A520_520, B521_521] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F519_519), pi_fun1727820731l_bool(A520_520, B521_521))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F519_519, X_2518_518)), hAPP_f417299659l_bool(B521_521, X_2518_518))) => ~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2518_518), A520_520))))) & ! [X_2522_522, F523_523, A524_524, B525_525] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F523_523), pi_fun433100839t_bool(A524_524, B525_525))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F523_523, X_2522_522)), hAPP_f861484971l_bool(B525_525, X_2522_522))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2522_522), A524_524))))) & ! [X_2526_526, F527_527, A528_528, B529_529] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F527_527), pi_Arr688267935t_bool(A528_528, B529_529))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F527_527, X_2526_526)), hAPP_A1944296755l_bool(B529_529, X_2526_526))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2526_526), A528_528))))) & ! [Aa530_530, Ba531_531] : (((is_Arr553848933le_alt(Aa530_530) & is_Arr553848933le_alt(Ba531_531)) => (~=(Aa530_530, Ba531_531) => ? [X_1532_532] : (((is_fun282293932t_bool(X_1532_532) & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1532_532), arrow_1239002508le_Lin))) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa530_530, Ba531_531)), X_1532_532))))))) & ! [Na533_533] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), Na533_533)), lab), lba)), arrow_413697182e_Prof))) & ! [X_2534_534, F535_535, A536_536, B537_537] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F535_535), pi_Pro2135156861t_bool(A536_536, B537_537))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2534_534), A536_536)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F535_535, X_2534_534)), hAPP_P2127852789l_bool(B537_537, X_2534_534)))))) & ! [X_2538_538, F539_539, A540_540, B541_541] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F539_539), pi_Pro437273841e_indi(A540_540, B541_541))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2538_538), A540_540)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F539_539, X_2538_538)), hAPP_P907763049i_bool(B541_541, X_2538_538)))))) & ! [X_2542_542, F543_543, A544_544, B545_545] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F543_543), pi_fun1736243859e_indi(A544_544, B545_545))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2542_542), A544_544)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F543_543, X_2542_542)), hAPP_f749892423i_bool(B545_545, X_2542_542)))))) & ! [X_2546_546, F547_547, A548_548, B549_549] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F547_547), pi_fun1494794527l_bool(A548_548, B549_549))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2546_546), A548_548)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F547_547, X_2546_546)), hAPP_f313042899l_bool(B549_549, X_2546_546)))))) & ! [X_2550_550, F551_551, A552_552, B553_553] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F551_551), pi_fun2075749915e_indi(A552_552, B553_553))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2550_550), A552_552)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F551_551, X_2550_550)), hAPP_f355113919i_bool(B553_553, X_2550_550)))))) & ! [X_2554_554, F555_555, A556_556, B557_557] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F555_555), pi_fun525942951l_bool(A556_556, B557_557))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2554_554), A556_556)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F555_555, X_2554_554)), hAPP_f497468491l_bool(B557_557, X_2554_554)))))) & ! [X_2558_558, F559_559, A560_560, B561_561] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F559_559), pi_fun972956463e_indi(A560_560, B561_561))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2558_558), A560_560)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F559_559, X_2558_558)), hAPP_f352490559i_bool(B561_561, X_2558_558)))))) & ! [X_2562_562, F563_563, A564_564, B565_565] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F563_563), pi_fun1727820731l_bool(A564_564, B565_565))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2562_562), A564_564)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F563_563, X_2562_562)), hAPP_f417299659l_bool(B565_565, X_2562_562)))))) & ! [X_2566_566, F567_567, A568_568, B569_569] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F567_567), pi_Arr149813489le_alt(A568_568, B569_569))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2566_566), A568_568)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F567_567, X_2566_566)), hAPP_A1374816149t_bool(B569_569, X_2566_566)))))) & ! [X_2570_570, F571_571, A572_572, B573_573] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F571_571), pi_boo1877522301le_alt(A572_572, B573_573))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2570_570), A572_572)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F571_571, X_2570_570)), hAPP_b1024867081t_bool(B573_573, X_2570_570)))))) & ! [X_2574_574, F575_575, A576_576, B577_577] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F575_575), pi_Arr1511953043t_bool(A576_576, B577_577))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2574_574), A576_576)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F575_575, X_2574_574)), hAPP_A1912483895l_bool(B577_577, X_2574_574)))))) & ! [X_2578_578, F579_579, A580_580, B581_581] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F579_579), pi_boo691944735t_bool(A580_580, B581_581))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2578_578), A580_580)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F579_579, X_2578_578)), hAPP_b1719629739l_bool(B581_581, X_2578_578)))))) & ! [X_2582_582, F583_583, A584_584, B585_585] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F583_583), pi_Arr372473371t_bool(A584_584, B585_585))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2582_582), A584_584)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F583_583, X_2582_582)), hAPP_A1964572607l_bool(B585_585, X_2582_582)))))) & ! [X_2586_586, F587_587, A588_588, B589_589] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F587_587), pi_boo71521447t_bool(A588_588, B589_589))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2586_586), A588_588)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F587_587, X_2586_586)), hAPP_b990649139l_bool(B589_589, X_2586_586)))))) & ! [X_2590_590, F591_591, A592_592, B593_593] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F591_591), pi_boo2007389459t_bool(A592_592, B593_593))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2590_590), A592_592)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F591_591, X_2590_590)), hAPP_b1965422783l_bool(B593_593, X_2590_590)))))) & ! [X_2594_594, F595_595, A596_596, B597_597] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F595_595), pi_fun433100839t_bool(A596_596, B597_597))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2594_594), A596_596)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F595_595, X_2594_594)), hAPP_f861484971l_bool(B597_597, X_2594_594)))))) & ! [X_2598_598, F599_599, A600_600, B601_601] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F599_599), pi_Arr688267935t_bool(A600_600, B601_601))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2598_598), A600_600)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F599_599, X_2598_598)), hAPP_A1944296755l_bool(B601_601, X_2598_598)))))) & =(arrow_413697182e_Prof, pi_Arr688267935t_bool(top_to1256827021i_bool, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, arrow_1239002508le_Lin))) & ! [X_2602_602, F603_603, A604_604, B605_605] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F603_603), pi_Pro2135156861t_bool(A604_604, hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, B605_605)))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2602_602), A604_604)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F603_603, X_2602_602)), B605_605))))) & ! [X_2606_606, F607_607, A608_608, B609_609] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F607_607), pi_Pro437273841e_indi(A608_608, hAPP_f1970593179i_bool(cOMBK_100791596le_alt, B609_609)))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2606_606), A608_608)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F607_607, X_2606_606)), B609_609))))) & ! [X_2610_610, F611_611, A612_612, B613_613] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F611_611), pi_fun1736243859e_indi(A612_612, hAPP_f681113465i_bool(cOMBK_454107598t_bool, B613_613)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2610_610), A612_612)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F611_611, X_2610_610)), B613_613))))) & ! [X_2614_614, F615_615, A616_616, B617_617] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F615_615), pi_fun1494794527l_bool(A616_616, hAPP_f219827985l_bool(cOMBK_886533338t_bool, B617_617)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2614_614), A616_616)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F615_615, X_2614_614)), B617_617))))) & ! [X_2618_618, F619_619, A620_620, B621_621] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F619_619), pi_fun2075749915e_indi(A620_620, hAPP_f1677452273i_bool(cOMBK_1372975190t_bool, B621_621)))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2618_618), A620_620)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F619_619, X_2618_618)), B621_621))))) & ! [X_2622_622, F623_623, A624_624, B625_625] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F623_623), pi_fun525942951l_bool(A624_624, hAPP_f1235573641l_bool(cOMBK_1072228194t_bool, B625_625)))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2622_622), A624_624)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F623_623, X_2622_622)), B625_625))))) & ! [X_2626_626, F627_627, A628_628, B629_629] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F627_627), pi_fun972956463e_indi(A628_628, hAPP_f1903519657i_bool(cOMBK_2076140708t_bool, B629_629)))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2626_626), A628_628)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F627_627, X_2626_626)), B629_629))))) & ! [X_2630_630, F631_631, A632_632, B633_633] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F631_631), pi_fun1727820731l_bool(A632_632, hAPP_f1667233577l_bool(cOMBK_1015076504t_bool, B633_633)))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2630_630), A632_632)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F631_631, X_2630_630)), B633_633))))) & ! [X_2634_634, F635_635, A636_636, B637_637] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F635_635), pi_Arr149813489le_alt(A636_636, hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, B637_637)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2634_634), A636_636)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F635_635, X_2634_634)), B637_637))))) & ! [X_2638_638, F639_639, A640_640, B641_641] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F639_639), pi_boo1877522301le_alt(A640_640, hAPP_f1520552209t_bool(cOMBK_697786936l_bool, B641_641)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2638_638), A640_640)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F639_639, X_2638_638)), B641_641))))) & ! [X_2642_642, F643_643, A644_644, B645_645] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F643_643), pi_Arr1511953043t_bool(A644_644, hAPP_f813556705l_bool(cOMBK_116240846e_indi, B645_645)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2642_642), A644_644)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F643_643, X_2642_642)), B645_645))))) & ! [X_2646_646, F647_647, A648_648, B649_649] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F647_647), pi_boo691944735t_bool(A648_648, hAPP_f371807573l_bool(cOMBK_697604314l_bool, B649_649)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2646_646), A648_648)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F647_647, X_2646_646)), B649_649))))) & ! [X_2650_650, F651_651, A652_652, B653_653] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F651_651), pi_Arr372473371t_bool(A652_652, hAPP_f1697527281l_bool(cOMBK_1292462166e_indi, B653_653)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2650_650), A652_652)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F651_651, X_2650_650)), B653_653))))) & ! [X_2654_654, F655_655, A656_656, B657_657] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F655_655), pi_boo71521447t_bool(A656_656, hAPP_f448497509l_bool(cOMBK_1268833122l_bool, B657_657)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2654_654), A656_656)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F655_655, X_2654_654)), B657_657))))) & ! [X_2658_658, F659_659, A660_660, B661_661] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F659_659), pi_boo2007389459t_bool(A660_660, hAPP_f2135750719l_bool(cOMBK_971068024l_bool, B661_661)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2658_658), A660_660)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F659_659, X_2658_658)), B661_661))))) & ! [X_2662_662, F663_663, A664_664, B665_665] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F663_663), pi_fun433100839t_bool(A664_664, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, B665_665)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2662_662), A664_664)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F663_663, X_2662_662)), B665_665))))) & ! [X_2666_666, F667_667, A668_668, B669_669] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F667_667), pi_Arr688267935t_bool(A668_668, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, B669_669)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2666_666), A668_668)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F667_667, X_2666_666)), B669_669))))) & ! [A673_673] : (=(pi_Pro2135156861t_bool(A673_673, hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, top_to1647826457l_bool)), top_to2005687013l_bool)) & ! [A674_674] : (=(pi_fun433100839t_bool(A674_674, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, top_to2005687013l_bool)), top_to40512653l_bool)) & ! [A675_675] : (=(pi_Arr688267935t_bool(A675_675, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, top_to2005687013l_bool)), top_to1194196741l_bool)) & (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), hAPP_f695124765t_bool(f, cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), lab), lba))))) & ! [I676_676] : ((((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, hAPP_A1374816149t_bool(p, I676_676)), e)))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => ((=(hAPP_A588601142di_nat(h, I676_676), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, hAPP_A1374816149t_bool(p, I676_676)), c), e)))) & (~=(hAPP_A588601142di_nat(h, I676_676), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, hAPP_A1374816149t_bool(p, I676_676)), e))))))) <=> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lab))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lba)))))) & ~=(a, b) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lba)) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a, b)), lab)) & ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a, b)), lba)) & ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lab)) & hBOOL(fTrue) & ! [P677_677] : ((is_bool(P677_677) => (=(P677_677, fTrue) | =(P677_677, fFalse)))) & ! [X678_678, Y679_679] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, X678_678), Y679_679)) | =(X678_678, Y679_679))) & ! [X680_680, Y681_681] : ((~=(X680_680, Y681_681) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, X680_680), Y681_681)))) & ! [P682_682, Q683_683] : ((is_bool(P682_682) => =(hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi, P682_682), Q683_683), P682_682))) & ! [P684_684, Q685_685, R686_686] : (=(hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P684_684, Q685_685), R686_686), hAPP_nat_bool(hAPP_A1922697556t_bool(P684_684, R686_686), Q685_685))) & ! [P687_687, Q688_688, R689_689] : (=(hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P687_687, Q688_688), R689_689), hAPP_n1699378549t_bool(P687_687, hAPP_A588601142di_nat(Q688_688, R689_689)))) & ! [P690_690, Q691_691] : ((is_bool(P690_690) => =(hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt, P690_690), Q691_691), P690_690))) & ! [X692_692, Y693_693] : ((is_fun282293932t_bool(X692_692) => =(hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool, fTrue), X692_692), Y693_693), X692_692))) & ! [X694_694, Y695_695] : ((is_fun282293932t_bool(Y695_695) => =(hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool, fFalse), X694_694), Y695_695), Y695_695))) & ! [P696_696] : ((is_bool(P696_696) => (=(P696_696, fTrue) | =(P696_696, fFalse)))) & ! [P697_697, Q698_698] : ((is_bool(P697_697) => =(hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool, P697_697), Q698_698), P697_697))) & ! [P699_699, Q700_700] : (=(hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, P699_699), Q700_700), P699_699)) & ! [P701_701, Q702_702] : ((is_fun282293932t_bool(P701_701) => =(hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool, P701_701), Q702_702), P701_701))) & ! [P703_703, Q704_704] : (=(hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool, P703_703), Q704_704), P703_703)) & ! [P705_705, Q706_706] : ((is_fun432044380l_bool(P705_705) => =(hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool, P705_705), Q706_706), P705_705))) & ! [P707_707, Q708_708] : ((is_fun917378774i_bool(P707_707) => =(hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt, P707_707), Q708_708), P707_707))) & ! [P709_709, Q710_710] : ((is_fun282293932t_bool(P709_709) => =(hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, P709_709), Q710_710), P709_709))) & ! [P711_711, Q712_712] : ((is_bool(P711_711) => =(hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool, P711_711), Q712_712), P711_711))) & ! [P713_713, Q714_714] : ((is_fun917378774i_bool(P713_713) => =(hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool, P713_713), Q714_714), P713_713))) & ! [P715_715, Q716_716] : ((is_fun432044380l_bool(P715_715) => =(hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, P715_715), Q716_716), P715_715))) & ! [P717_717, Q718_718] : (=(hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool, P717_717), Q718_718), P717_717)) & ! [P719_719, Q720_720] : ((is_fun959573582l_bool(P719_719) => =(hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool, P719_719), Q720_720), P719_719))) & ! [P721_721, Q722_722, R723_723] : (=(hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P721_721, Q722_722), R723_723), hAPP_A619995676t_bool(hAPP_A702630576t_bool(P721_721, R723_723), Q722_722))) & ! [P724_724, Q725_725] : ((is_fun917378774i_bool(P724_724) => =(hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool, P724_724), Q725_725), P724_724))) & ! [P726_726, Q727_727] : ((is_fun959573582l_bool(P726_726) => =(hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi, P726_726), Q727_727), P726_726))) & ! [P728_728, Q729_729, R730_730] : (=(hAPP_A702630576t_bool(cOMBC_493523632t_bool(P728_728, Q729_729), R730_730), hAPP_A384644407t_bool(hAPP_A460042315t_bool(P728_728, R730_730), Q729_729))) & ! [P731_731, Q732_732, R733_733] : (=(hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P731_731, Q732_732), R733_733), hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P731_731, R733_733), Q732_732))) & ! [P734_734, Q735_735, R736_736] : (=(hAPP_A1374816149t_bool(cOMBS_867867294t_bool(P734_734, Q735_735), R736_736), hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P734_734, R736_736), hAPP_A1374816149t_bool(Q735_735, R736_736)))) & ! [P737_737, Q738_738] : ((is_bool(P737_737) => =(hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool, P737_737), Q738_738), P737_737))) & ! [P739_739, Q740_740] : ((is_fun432044380l_bool(P739_739) => =(hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool, P739_739), Q740_740), P739_739))) & ! [P741_741, Q742_742] : (=(hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool, P741_741), Q742_742), P741_741)) & ! [P743_743, Q744_744] : ((is_fun631676118l_bool(P743_743) => =(hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool, P743_743), Q744_744), P743_743))) & ! [P745_745, Q746_746, R747_747] : (=(hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P745_745, Q746_746), R747_747), hAPP_f1290184496t_bool(P745_745, hAPP_A1374816149t_bool(Q746_746, R747_747)))) & ! [P748_748, Q749_749] : ((is_fun917378774i_bool(P748_748) => =(hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool, P748_748), Q749_749), P748_748))) & ! [P750_750, Q751_751] : ((is_fun631676118l_bool(P750_750) => =(hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi, P750_750), Q751_751), P750_750))) & ! [P752_752, Q753_753, R754_754] : (=(hAPP_A460042315t_bool(cOMBB_69933763e_indi(P752_752, Q753_753), R754_754), hAPP_f1336478923t_bool(P752_752, hAPP_A1374816149t_bool(Q753_753, R754_754)))) & ! [P755_755, Q756_756, R757_757] : (=(hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P755_755, Q756_756), R757_757), hAPP_f159424297t_bool(hAPP_A869356733t_bool(P755_755, R757_757), Q756_756))) & ! [P758_758, Q759_759, R760_760] : (=(hAPP_A1333445289t_bool(cOMBS_102864562t_bool(P758_758, Q759_759), R760_760), hAPP_f159424297t_bool(hAPP_A869356733t_bool(P758_758, R760_760), hAPP_A1374816149t_bool(Q759_759, R760_760)))) & ! [P761_761, Q762_762, R763_763] : (=(hAPP_A869356733t_bool(cOMBB_963584201e_indi(P761_761, Q762_762), R763_763), hAPP_b1915039793t_bool(P761_761, hAPP_A1466488369i_bool(Q762_762, R763_763)))) & ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))))
% 49.99/31.09 -> [1] is_fun631676118l_bool(arrow_1212118780le_IIA), is_fun432044380l_bool(arrow_1239002508le_Lin), is_fun959573582l_bool(arrow_413697182e_Prof), is_fun631676118l_bool(arrow_467566751nimity), ! [B_1_179_79, B_2_180_80] : (is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_179_79, B_2_180_80))), ! [B_1_181_81, B_2_182_82] : ((is_fun917378774i_bool(B_2_182_82) => is_bool(inj_on24934938di_nat(B_1_181_81, B_2_182_82)))), ! [B_1_183_83, B_2_184_84] : ((is_fun917378774i_bool(B_1_183_83) => is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_183_83, B_2_184_84)))), ! [B_1_185_85, B_2_186_86] : ((is_fun959573582l_bool(B_1_185_85) => is_fun631676118l_bool(pi_fun433100839t_bool(B_1_185_85, B_2_186_86)))), ! [B_1_187_87, B_2_188_88] : ((is_fun282293932t_bool(B_1_187_87) => is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_187_87, B_2_188_88)))), is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)), is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)), is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt, arrow_1812558424le_alt), bool))), ! [B_1_189_89, B_2_190_90] : ((is_fun917378774i_bool(B_1_189_89) => is_fun1016509681e_indi(hilber1792103167di_nat(B_1_189_89, B_2_190_90)))), is_bool(top_top_bool), is_fun917378774i_bool(top_to1256827021i_bool), is_fun959573582l_bool(top_to1194196741l_bool), is_fun631676118l_bool(top_to40512653l_bool), is_fun432044380l_bool(top_to2005687013l_bool), is_fun282293932t_bool(top_to2034604131t_bool), ! [B_1_191_91] : ((is_fun917378774i_bool(B_1_191_91) => is_fun917378774i_bool(collec45183100e_indi(B_1_191_91)))), ! [B_1_192_92] : ((is_fun959573582l_bool(B_1_192_92) => is_fun959573582l_bool(collec1580242420t_bool(B_1_192_92)))), ! [B_1_193_93] : ((is_fun631676118l_bool(B_1_193_93) => is_fun631676118l_bool(collec1520786044t_bool(B_1_193_93)))), ! [B_1_194_94] : ((is_fun432044380l_bool(B_1_194_94) => is_fun432044380l_bool(collec874260222t_bool(B_1_194_94)))), ! [B_1_195_95] : ((is_fun282293932t_bool(B_1_195_95) => is_fun282293932t_bool(collec1711870802le_alt(B_1_195_95)))), is_bool(fFalse), is_bool(fTrue), ! [B_1_196_96, B_2_197_97] : ((is_Arr553848933le_alt(B_2_197_97) => is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_196_96, B_2_197_97)))), ! [B_1_198_98, B_2_199_99] : (((is_fun917378774i_bool(B_1_198_98) & is_Arr625519182e_indi(B_2_199_99)) => is_bool(hAPP_A1466488369i_bool(B_1_198_98, B_2_199_99)))), ! [B_1_1100_100, B_2_1101_101] : ((is_Arr625519182e_indi(B_2_1101_101) => is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1100_100, B_2_1101_101)))), ! [B_1_1102_102, B_2_1103_103] : ((is_Arr625519182e_indi(B_2_1103_103) => is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1102_102, B_2_1103_103)))), ! [B_1_1104_104, B_2_1105_105] : ((is_Arr625519182e_indi(B_2_1105_105) => is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1104_104, B_2_1105_105)))), ! [B_1_1106_106, B_2_1107_107] : ((is_Arr625519182e_indi(B_2_1107_107) => is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1106_106, B_2_1107_107)))), ! [B_1_1108_108, B_2_1109_109] : ((is_bool(B_2_1109_109) => is_bool(hAPP_bool_bool(B_1_1108_108, B_2_1109_109)))), ! [B_1_1110_110, B_2_1111_111] : ((is_bool(B_2_1111_111) => is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1110_110, B_2_1111_111)))), ! [B_1_1112_112, B_2_1113_113] : ((is_bool(B_2_1113_113) => is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1112_112, B_2_1113_113)))), ! [B_1_1114_114, B_2_1115_115] : ((is_bool(B_2_1115_115) => is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1114_114, B_2_1115_115)))), ! [B_1_1116_116, B_2_1117_117] : ((is_bool(B_2_1117_117) => is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1116_116, B_2_1117_117)))), ! [B_1_1118_118, B_2_1119_119] : ((is_bool(B_2_1119_119) => is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1118_118, B_2_1119_119)))), ! [B_1_1120_120, B_2_1121_121] : ((is_fun1016509681e_indi(B_1_1120_120) => is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1120_120, B_2_1121_121)))), ! [B_1_1122_122, B_2_1123_123] : (is_bool(hAPP_nat_bool(B_1_1122_122, B_2_1123_123))), ! [B_1_1124_124, B_2_1125_125] : ((is_fun917378774i_bool(B_2_1125_125) => is_bool(hAPP_f919661787l_bool(B_1_1124_124, B_2_1125_125)))), ! [B_1_1126_126, B_2_1127_127] : (is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1126_126, B_2_1127_127))), ! [B_1_1128_128, B_2_1129_129] : ((is_fun959573582l_bool(B_1_1128_128) => is_bool(hAPP_f1636546729l_bool(B_1_1128_128, B_2_1129_129)))), ! [B_1_1130_130, B_2_1131_131] : (is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1130_130, B_2_1131_131))), ! [B_1_1132_132, B_2_1133_133] : (is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1132_132, B_2_1133_133))), ! [B_1_1134_134, B_2_1135_135] : (is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1134_134, B_2_1135_135))), ! [B_1_1136_136, B_2_1137_137] : (is_bool(hAPP_f387058535l_bool(B_1_1136_136, B_2_1137_137))), ! [B_1_1138_138, B_2_1139_139] : (is_bool(hAPP_f204273237l_bool(B_1_1138_138, B_2_1139_139))), ! [B_1_1140_140, B_2_1141_141] : (is_bool(hAPP_f1012384989l_bool(B_1_1140_140, B_2_1141_141))), ! [B_1_1142_142, B_2_1143_143] : ((is_fun959573582l_bool(B_2_1143_143) => is_bool(hAPP_f453661011l_bool(B_1_1142_142, B_2_1143_143)))), ! [B_1_1144_144, B_2_1145_145] : (is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1144_144, B_2_1145_145))), ! [B_1_1146_146, B_2_1147_147] : ((is_fun631676118l_bool(B_1_1146_146) => is_bool(hAPP_f785543729l_bool(B_1_1146_146, B_2_1147_147)))), ! [B_1_1148_148, B_2_1149_149] : (is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1148_148, B_2_1149_149))), ! [B_1_1150_150, B_2_1151_151] : (is_bool(hAPP_f483434675l_bool(B_1_1150_150, B_2_1151_151))), ! [B_1_1152_152, B_2_1153_153] : (is_bool(hAPP_f1018082273l_bool(B_1_1152_152, B_2_1153_153))), ! [B_1_1154_154, B_2_1155_155] : (is_bool(hAPP_f1271180905l_bool(B_1_1154_154, B_2_1155_155))), ! [B_1_1156_156, B_2_1157_157] : (is_bool(hAPP_f1550037191l_bool(B_1_1156_156, B_2_1157_157))), ! [B_1_1158_158, B_2_1159_159] : (is_bool(hAPP_f1895985727l_bool(B_1_1158_158, B_2_1159_159))), ! [B_1_1160_160, B_2_1161_161] : (is_bool(hAPP_f234874197l_bool(B_1_1160_160, B_2_1161_161))), ! [B_1_1162_162, B_2_1163_163] : (is_bool(hAPP_f500145249l_bool(B_1_1162_162, B_2_1163_163))), ! [B_1_1164_164, B_2_1165_165] : ((is_fun631676118l_bool(B_2_1165_165) => is_bool(hAPP_f213304539l_bool(B_1_1164_164, B_2_1165_165)))), ! [B_1_1166_166, B_2_1167_167] : (is_bool(hAPP_f1766869725l_bool(B_1_1166_166, B_2_1167_167))), ! [B_1_1168_168, B_2_1169_169] : (is_bool(hAPP_f1279200745l_bool(B_1_1168_168, B_2_1169_169))), ! [B_1_1170_170, B_2_1171_171] : (is_bool(hAPP_f592909149l_bool(B_1_1170_170, B_2_1171_171))), ! [B_1_1172_172, B_2_1173_173] : (is_bool(hAPP_f526292585l_bool(B_1_1172_172, B_2_1173_173))), ! [B_1_1174_174, B_2_1175_175] : (is_bool(hAPP_f460310451l_bool(B_1_1174_174, B_2_1175_175))), ! [B_1_1176_176, B_2_1177_177] : ((is_fun432044380l_bool(B_2_1177_177) => is_bool(hAPP_f503012287l_bool(B_1_1176_176, B_2_1177_177)))), ! [B_1_1178_178, B_2_1179_179] : ((is_fun282293932t_bool(B_2_1179_179) => is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1178_178, B_2_1179_179)))), ! [B_1_1180_180, B_2_1181_181] : (((is_fun432044380l_bool(B_1_1180_180) & is_fun282293932t_bool(B_2_1181_181)) => is_bool(hAPP_f745298353l_bool(B_1_1180_180, B_2_1181_181)))), ! [B_1_1182_182, B_2_1183_183] : ((is_fun282293932t_bool(B_2_1183_183) => is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1182_182, B_2_1183_183)))), ! [B_1_1184_184, B_2_1185_185] : ((is_fun282293932t_bool(B_2_1185_185) => is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1184_184, B_2_1185_185)))), ! [B_1_1186_186, B_2_1187_187] : ((is_fun282293932t_bool(B_2_1187_187) => is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1186_186, B_2_1187_187)))), ! [B_1_1188_188, B_2_1189_189] : (is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1188_188, B_2_1189_189))), ! [B_1_1190_190, B_2_1191_191] : ((is_fun282293932t_bool(B_1_1190_190) => is_bool(hAPP_P2075002375t_bool(B_1_1190_190, B_2_1191_191)))), ! [B_1_1192_192, B_2_1193_193] : (is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1192_192, B_2_1193_193))), ! [B_1_1194_194] : (is_fun432044380l_bool(member1056080916le_alt(B_1_1194_194))), is_fun282293932t_bool(lab), is_fun282293932t_bool(lba), is_Arr553848933le_alt(a), is_Arr553848933le_alt(b), is_Arr553848933le_alt(c), is_Arr553848933le_alt(d), is_Arr553848933le_alt(e), hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA, f)), hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity, f)), ~=(c, d), hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p), arrow_413697182e_Prof)), ! [X_2195_195, Y_1196_196, L197_197, Z_1198_198] : ((((is_Arr553848933le_alt(X_2195_195) & is_Arr553848933le_alt(Y_1196_196)) & is_Arr553848933le_alt(Z_1198_198)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2195_195, Y_1196_196)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, L197_197), Z_1198_198))) <=> ((~=(Y_1196_196, Z_1198_198) & (=(X_2195_195, Z_1198_198) => ~=(X_2195_195, Y_1196_196))) & (~=(X_2195_195, Z_1198_198) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2195_195, Y_1196_196)), L197_197))))))), ! [X_2199_199, Y_1200_200, L201_201, Z_1202_202] : ((((is_Arr553848933le_alt(X_2199_199) & is_Arr553848933le_alt(Y_1200_200)) & is_Arr553848933le_alt(Z_1202_202)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2199_199, Y_1200_200)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, L201_201), Z_1202_202))) <=> ((~=(X_2199_199, Z_1202_202) & (=(Y_1200_200, Z_1202_202) => ~=(X_2199_199, Y_1200_200))) & (~=(Y_1200_200, Z_1202_202) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2199_199, Y_1200_200)), L201_201))))))), ! [P_1203_203, Pa204_204, A_8205_205, B_8206_206, Aa207_207, Ba208_208] : (((((is_Arr553848933le_alt(A_8205_205) & is_Arr553848933le_alt(B_8206_206)) & is_Arr553848933le_alt(Aa207_207)) & is_Arr553848933le_alt(Ba208_208)) => (~=(Aa207_207, Ba208_208) => (~=(A_8205_205, B_8206_206) => (~=(Aa207_207, B_8206_206) => (~=(Ba208_208, A_8205_205) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa204_204), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1203_203), arrow_413697182e_Prof)) => (! [I209_209] : ((is_Arr625519182e_indi(I209_209) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa207_207, Ba208_208)), hAPP_A1374816149t_bool(Pa204_204, I209_209))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8205_205, B_8206_206)), hAPP_A1374816149t_bool(P_1203_203, I209_209)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa207_207, Ba208_208)), hAPP_f695124765t_bool(f, Pa204_204))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8205_205, B_8206_206)), hAPP_f695124765t_bool(f, P_1203_203))))))))))))), ! [P_1210_210, Pa211_211, A_8212_212, B_8213_213, Aa214_214, Ba215_215] : (((((is_Arr553848933le_alt(A_8212_212) & is_Arr553848933le_alt(B_8213_213)) & is_Arr553848933le_alt(Aa214_214)) & is_Arr553848933le_alt(Ba215_215)) => (~=(Aa214_214, Ba215_215) => (~=(A_8212_212, B_8213_213) => (~=(Aa214_214, B_8213_213) => (~=(Ba215_215, A_8212_212) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa211_211), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1210_210), arrow_413697182e_Prof)) => (! [I216_216] : ((is_Arr625519182e_indi(I216_216) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa214_214, Ba215_215)), hAPP_A1374816149t_bool(Pa211_211, I216_216))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8212_212, B_8213_213)), hAPP_A1374816149t_bool(P_1210_210, I216_216)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa214_214, Ba215_215)), hAPP_f695124765t_bool(f, Pa211_211))) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8212_212, B_8213_213)), hAPP_f695124765t_bool(f, P_1210_210))))))))))))), ! [P_1217_217, Pa218_218, Ca219_219, Aa220_220, Ba221_221] : ((((is_Arr553848933le_alt(Ca219_219) & is_Arr553848933le_alt(Aa220_220)) & is_Arr553848933le_alt(Ba221_221)) => (~=(Aa220_220, Ba221_221) => (~=(Ba221_221, Ca219_219) => (~=(Aa220_220, Ca219_219) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa218_218), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1217_217), arrow_413697182e_Prof)) => (! [I222_222] : ((is_Arr625519182e_indi(I222_222) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa220_220, Ba221_221)), hAPP_A1374816149t_bool(Pa218_218, I222_222))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba221_221, Ca219_219)), hAPP_A1374816149t_bool(P_1217_217, I222_222)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa220_220, Ba221_221)), hAPP_f695124765t_bool(f, Pa218_218))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba221_221, Ca219_219)), hAPP_f695124765t_bool(f, P_1217_217)))))))))))), ! [P_1223_223, Pa224_224, A_8225_225, B_8226_226, Aa227_227, Ba228_228] : (((((is_Arr553848933le_alt(A_8225_225) & is_Arr553848933le_alt(B_8226_226)) & is_Arr553848933le_alt(Aa227_227)) & is_Arr553848933le_alt(Ba228_228)) => (~=(Aa227_227, Ba228_228) => (~=(A_8225_225, B_8226_226) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa224_224), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1223_223), arrow_413697182e_Prof)) => (! [I229_229] : ((is_Arr625519182e_indi(I229_229) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa227_227, Ba228_228)), hAPP_A1374816149t_bool(Pa224_224, I229_229))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8225_225, B_8226_226)), hAPP_A1374816149t_bool(P_1223_223, I229_229)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa227_227, Ba228_228)), hAPP_f695124765t_bool(f, Pa224_224))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8225_225, B_8226_226)), hAPP_f695124765t_bool(f, P_1223_223))))))))))), ! [P_1230_230, Pa231_231, Aa232_232, Ba233_233] : (((is_Arr553848933le_alt(Aa232_232) & is_Arr553848933le_alt(Ba233_233)) => (~=(Aa232_232, Ba233_233) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa231_231), arrow_413697182e_Prof)) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1230_230), arrow_413697182e_Prof)) => (! [I234_234] : ((is_Arr625519182e_indi(I234_234) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa232_232, Ba233_233)), hAPP_A1374816149t_bool(Pa231_231, I234_234))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba233_233, Aa232_232)), hAPP_A1374816149t_bool(P_1230_230, I234_234)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa232_232, Ba233_233)), hAPP_f695124765t_bool(f, Pa231_231))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba233_233, Aa232_232)), hAPP_f695124765t_bool(f, P_1230_230)))))))))), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)))), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))), (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e))))))), ! [Pa236_236] : ((! [X1237_237] : (hBOOL(hAPP_P2075002375t_bool(Pa236_236, X1237_237))) <=> ! [A_1238_238, B_1239_239] : (((is_Arr553848933le_alt(A_1238_238) & is_Arr553848933le_alt(B_1239_239)) => hBOOL(hAPP_P2075002375t_bool(Pa236_236, produc171383831le_alt(A_1238_238, B_1239_239))))))), hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))), arrow_413697182e_Prof)), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, e)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, n), finite120254591e_indi(top_to1256827021i_bool))), hBOOL(inj_on24934938di_nat(h, top_to1256827021i_bool)), ! [A_10240_240, B_10241_241, A_9242_242, B_9243_243] : (((((is_Arr553848933le_alt(A_10240_240) & is_Arr553848933le_alt(B_10241_241)) & is_Arr553848933le_alt(A_9242_242)) & is_Arr553848933le_alt(B_9243_243)) => (=(produc171383831le_alt(A_10240_240, B_10241_241), produc171383831le_alt(A_9242_242, B_9243_243)) => ~(=(A_10240_240, A_9242_242) => ~=(B_10241_241, B_9243_243))))), ! [Aa244_244, Ba245_245, A_8246_246, B_8247_247] : (((((is_Arr553848933le_alt(Aa244_244) & is_Arr553848933le_alt(Ba245_245)) & is_Arr553848933le_alt(A_8246_246)) & is_Arr553848933le_alt(B_8247_247)) => (=(produc171383831le_alt(Aa244_244, Ba245_245), produc171383831le_alt(A_8246_246, B_8247_247)) <=> (=(Aa244_244, A_8246_246) & =(Ba245_245, B_8247_247))))), ! [X_2259_259] : (hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool, X_2259_259))), ! [X_2260_260] : (hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool, X_2260_260))), ! [X_2261_261] : (hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool, X_2261_261))), ! [X_2262_262] : (hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool, X_2262_262))), ! [X_2263_263] : (hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool, X_2263_263))), ! [X_2264_264] : (hBOOL(hAPP_f387058535l_bool(member_bool(X_2264_264), top_to1647826457l_bool))), ! [X_2265_265] : (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2265_265), top_to1256827021i_bool))), ! [X_2266_266] : (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2266_266), top_to2034604131t_bool))), ! [X_2267_267] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2267_267), top_to1194196741l_bool))), ! [X_2268_268] : (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2268_268), top_to40512653l_bool))), ! [X_2269_269] : (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2269_269), top_to2005687013l_bool))), ! [X_2270_270] : (hBOOL(hAPP_f387058535l_bool(member_bool(X_2270_270), top_to1647826457l_bool))), ! [X_2271_271] : (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2271_271), top_to1256827021i_bool))), ! [X_2272_272] : (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2272_272), top_to2034604131t_bool))), ! [X_2273_273] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2273_273), top_to1194196741l_bool))), ! [X_2274_274] : (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2274_274), top_to40512653l_bool))), ! [X_2275_275] : (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2275_275), top_to2005687013l_bool))), ! [X_2276_276] : ((hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool, X_2276_276)) <=> hBOOL(top_top_bool))), ! [X_2277_277] : ((hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool, X_2277_277)) <=> hBOOL(top_top_bool))), ! [X_2278_278] : ((hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool, X_2278_278)) <=> hBOOL(top_top_bool))), ! [X_2279_279] : ((hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool, X_2279_279)) <=> hBOOL(top_top_bool))), ! [X_2280_280] : ((hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool, X_2280_280)) <=> hBOOL(top_top_bool))), ! [Aa281_281] : (~hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool, top_to2005687013l_bool), Aa281_281))), ! [Aa282_282] : (~hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool, top_to1194196741l_bool), Aa282_282))), ! [Aa283_283] : (~hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool, top_to40512653l_bool), Aa283_283))), ! [Aa284_284] : (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool, top_top_bool), Aa284_284))), ! [Aa285_285] : (~hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool, top_to2034604131t_bool), Aa285_285))), ! [Aa286_286] : (~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, top_to1256827021i_bool), Aa286_286))), ! [X_14287_287, Y_13288_288] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_14287_287), Y_13288_288)) => (~=(X_14287_287, Y_13288_288) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_13288_288), X_14287_287))))), ! [X_2289_289, Y_1290_290] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2289_289), Y_1290_290)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1290_290), X_2289_289)))), ! [X_13291_291, Y_12292_292] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_13291_291), Y_12292_292)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_12292_292), X_13291_291)))), ! [Z_1293_293, Y_1294_294, X_2295_295] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1294_294), X_2295_295)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Z_1293_293), Y_1294_294)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Z_1293_293), X_2295_295))))), ! [Z_2296_296, Y_11297_297, X_12298_298] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_11297_297), X_12298_298)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Z_2296_296), Y_11297_297)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Z_2296_296), X_12298_298))))), ! [Z_1299_299, X_2300_300, Y_1301_301] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2300_300), Y_1301_301)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1301_301), Z_1299_299)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2300_300), Z_1299_299))))), ! [Z302_302, X_11303_303, Y_10304_304] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_11303_303), Y_10304_304)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_10304_304), Z302_302)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_11303_303), Z302_302))))), ! [Ca305_305, Ba306_306, Aa307_307] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba306_306), Aa307_307)) => (=(Ba306_306, Ca305_305) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca305_305), Aa307_307))))), ! [C_3308_308, B_7309_309, A_7310_310] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_7309_309), A_7310_310)) => (=(B_7309_309, C_3308_308) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_3308_308), A_7310_310))))), ! [Ca311_311, Aa312_312, Ba313_313] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa312_312), Ba313_313)) => (=(Ba313_313, Ca311_311) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa312_312), Ca311_311))))), ! [C_2314_314, A_6315_315, B_6316_316] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_6315_315), B_6316_316)) => (=(B_6316_316, C_2314_314) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_6315_315), C_2314_314))))), ! [Ca317_317, Aa318_318, Ba319_319] : ((=(Aa318_318, Ba319_319) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca317_317), Ba319_319)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ca317_317), Aa318_318))))), ! [C_1320_320, A_5321_321, B_5322_322] : ((=(A_5321_321, B_5322_322) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_1320_320), B_5322_322)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, C_1320_320), A_5321_321))))), ! [Ca323_323, Aa324_324, Ba325_325] : ((=(Aa324_324, Ba325_325) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba325_325), Ca323_323)) => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa324_324), Ca323_323))))), ! [C326_326, A_4327_327, B_4328_328] : ((=(A_4327_327, B_4328_328) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_4328_328), C326_326)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_4327_327), C326_326))))), ! [Ba329_329, Aa330_330] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba329_329), Aa330_330)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa330_330), Ba329_329)))), ! [B_3331_331, A_3332_332] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_3331_331), A_3332_332)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_3332_332), B_3331_331)))), ! [Aa333_333, Ba334_334] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa333_333), Ba334_334)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Ba334_334), Aa333_333)))), ! [A_2335_335, B_2336_336] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, A_2335_335), B_2336_336)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, B_2336_336), A_2335_335)))), ! [Pa337_337, X_2338_338, Y_1339_339] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2338_338), Y_1339_339)) => (hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1339_339), X_2338_338)) => hBOOL(Pa337_337)))), ! [Pa340_340, X_2341_341, Y_1342_342] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2341_341), Y_1342_342)) => (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1342_342), X_2341_341)) => hBOOL(Pa340_340)))), ! [X_2343_343, Y_1344_344] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2343_343), Y_1344_344)) => ~=(Y_1344_344, X_2343_343))), ! [X_10345_345, Y_9346_346] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_10345_345), Y_9346_346)) => ~=(Y_9346_346, X_10345_345))), ! [X_2347_347, Y_1348_348] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2347_347), Y_1348_348)) => ~=(X_2347_347, Y_1348_348))), ! [X_9349_349, Y_8350_350] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_9349_349), Y_8350_350)) => ~=(X_9349_349, Y_8350_350))), ! [X_2351_351, Y_1352_352] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2351_351), Y_1352_352)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1352_352), X_2351_351)))), ! [X_8353_353, Y_7354_354] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_8353_353), Y_7354_354)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_7354_354), X_8353_353)))), ! [X_2355_355, Y_1356_356] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2355_355), Y_1356_356)) => ~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Y_1356_356), X_2355_355)))), ! [X_7357_357, Y_6358_358] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_7357_357), Y_6358_358)) => ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_6358_358), X_7357_357)))), ! [X_2359_359, Y_1360_360] : ((hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2359_359), Y_1360_360)) => ~=(X_2359_359, Y_1360_360))), ! [X_6361_361, Y_5362_362] : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_6361_361), Y_5362_362)) => ~=(X_6361_361, Y_5362_362))), ! [X_5363_363, Y_4364_364] : ((~=(X_5363_363, Y_4364_364) => (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_5363_363), Y_4364_364)) => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_4364_364), X_5363_363))))), ! [Y_1365_365, X_2366_366] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1365_365), X_2366_366)) => (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2366_366), Y_1365_365)) <=> =(X_2366_366, Y_1365_365)))), ! [X_4367_367, Y_3368_368] : (((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_4367_367), Y_3368_368)) | =(X_4367_367, Y_3368_368)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_3368_368), X_4367_367)))), ! [X_2371_371, Y_1372_372] : ((~=(X_2371_371, Y_1372_372) <=> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_2371_371), Y_1372_372)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, Y_1372_372), X_2371_371))))), ! [X_2373_373] : (~hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, X_2373_373), X_2373_373))), ! [X_3374_374] : (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, X_3374_374), X_3374_374))), =(top_to2005687013l_bool, collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool, fTrue))), =(top_to1194196741l_bool, collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool, fTrue))), =(top_to40512653l_bool, collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool, fTrue))), =(top_to2034604131t_bool, collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt, fTrue))), =(top_to1256827021i_bool, collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi, fTrue))), ! [S375_375, R_1376_376] : (((is_fun282293932t_bool(S375_375) & is_fun282293932t_bool(R_1376_376)) => (! [X_1377_377, Xa378_378] : (((is_Arr553848933le_alt(X_1377_377) & is_Arr553848933le_alt(Xa378_378)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1377_377, Xa378_378)), R_1376_376)) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1377_377, Xa378_378)), S375_375))))) <=> =(R_1376_376, S375_375)))), ! [Aa379_379] : ((is_fun432044380l_bool(Aa379_379) => (~=(Aa379_379, top_to2005687013l_bool) <=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool, Aa379_379), top_to2005687013l_bool))))), ! [Aa380_380] : ((is_fun959573582l_bool(Aa380_380) => (~=(Aa380_380, top_to1194196741l_bool) <=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool, Aa380_380), top_to1194196741l_bool))))), ! [Aa381_381] : ((is_fun631676118l_bool(Aa381_381) => (~=(Aa381_381, top_to40512653l_bool) <=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool, Aa381_381), top_to40512653l_bool))))), ! [Aa383_383] : ((is_fun282293932t_bool(Aa383_383) => (~=(Aa383_383, top_to2034604131t_bool) <=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool, Aa383_383), top_to2034604131t_bool))))), ! [Aa384_384] : ((is_fun917378774i_bool(Aa384_384) => (~=(Aa384_384, top_to1256827021i_bool) <=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool, Aa384_384), top_to1256827021i_bool))))), ! [X_2385_385, Y_1386_386, F387_387] : ((is_Arr625519182e_indi(X_2385_385) => (hBOOL(inj_on24934938di_nat(F387_387, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F387_387, X_2385_385), Y_1386_386) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, F387_387), Y_1386_386), X_2385_385))))), ! [X_2388_388, F389_389] : ((is_Arr625519182e_indi(X_2388_388) => (hBOOL(inj_on24934938di_nat(F389_389, top_to1256827021i_bool)) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, F389_389), hAPP_A588601142di_nat(F389_389, X_2388_388)), X_2388_388)))), ! [X_2390_390, F391_391, A392_392] : ((is_Arr625519182e_indi(X_2390_390) => (hBOOL(inj_on24934938di_nat(F391_391, A392_392)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2390_390), A392_392)) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(A392_392, F391_391), hAPP_A588601142di_nat(F391_391, X_2390_390)), X_2390_390))))), ! [Y_1393_393, X_2394_394, F395_395, A396_396] : ((is_Arr625519182e_indi(X_2394_394) => (hBOOL(inj_on24934938di_nat(F395_395, A396_396)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2394_394), A396_396)) => (=(hAPP_A588601142di_nat(F395_395, X_2394_394), Y_1393_393) => =(hAPP_n385347014e_indi(hilber1792103167di_nat(A396_396, F395_395), Y_1393_393), X_2394_394)))))), ! [X_2397_397, Y_1398_398, F399_399] : (((is_Arr625519182e_indi(X_2397_397) & is_Arr625519182e_indi(Y_1398_398)) => (hBOOL(inj_on24934938di_nat(F399_399, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F399_399, X_2397_397), hAPP_A588601142di_nat(F399_399, Y_1398_398)) <=> =(X_2397_397, Y_1398_398))))), ! [X_2404_404, Y_1405_405, F406_406, A407_407] : (((is_Arr625519182e_indi(X_2404_404) & is_Arr625519182e_indi(Y_1405_405)) => (hBOOL(inj_on24934938di_nat(F406_406, A407_407)) => (~=(X_2404_404, Y_1405_405) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2404_404), A407_407)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1405_405), A407_407)) => ~=(hAPP_A588601142di_nat(F406_406, X_2404_404), hAPP_A588601142di_nat(F406_406, Y_1405_405)))))))), ! [Y_1408_408, X_2409_409, F410_410, A411_411] : (((is_Arr625519182e_indi(Y_1408_408) & is_Arr625519182e_indi(X_2409_409)) => (hBOOL(inj_on24934938di_nat(F410_410, A411_411)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2409_409), A411_411)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1408_408), A411_411)) => (=(hAPP_A588601142di_nat(F410_410, X_2409_409), hAPP_A588601142di_nat(F410_410, Y_1408_408)) <=> =(X_2409_409, Y_1408_408))))))), ! [X_2412_412, Y_1413_413, F414_414, A415_415] : (((is_Arr625519182e_indi(X_2412_412) & is_Arr625519182e_indi(Y_1413_413)) => (hBOOL(inj_on24934938di_nat(F414_414, A415_415)) => (=(hAPP_A588601142di_nat(F414_414, X_2412_412), hAPP_A588601142di_nat(F414_414, Y_1413_413)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2412_412), A415_415)) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1413_413), A415_415)) => =(X_2412_412, Y_1413_413))))))), ! [X_2416_416, Y_1417_417, F418_418] : (((is_Arr625519182e_indi(X_2416_416) & is_Arr625519182e_indi(Y_1417_417)) => (hBOOL(inj_on24934938di_nat(F418_418, top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(F418_418, X_2416_416), hAPP_A588601142di_nat(F418_418, Y_1417_417)) => =(X_2416_416, Y_1417_417))))), ! [G419_419, F420_420] : ((is_fun1016509681e_indi(G419_419) => (hBOOL(inj_on24934938di_nat(F420_420, top_to1256827021i_bool)) => (! [X_1421_421] : (=(hAPP_A588601142di_nat(F420_420, hAPP_n385347014e_indi(G419_419, X_1421_421)), X_1421_421)) => =(hilber1792103167di_nat(top_to1256827021i_bool, F420_420), G419_419))))), ! [F422_422] : ((! [X_1423_423, Y_2424_424] : (((is_Arr625519182e_indi(X_1423_423) & is_Arr625519182e_indi(Y_2424_424)) => (=(hAPP_A588601142di_nat(F422_422, X_1423_423), hAPP_A588601142di_nat(F422_422, Y_2424_424)) => =(X_1423_423, Y_2424_424)))) => hBOOL(inj_on24934938di_nat(F422_422, top_to1256827021i_bool)))), hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f), pi_fun433100839t_bool(arrow_413697182e_Prof, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, arrow_1239002508le_Lin)))), hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba), arrow_1239002508le_Lin)), hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab), arrow_1239002508le_Lin)), ! [Aa425_425, Ba426_426, L427_427] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L427_427), arrow_1239002508le_Lin)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa425_425, Ba426_426)), L427_427)) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba426_426, Aa425_425)), L427_427))))), ! [X_2428_428, Y_1429_429, L430_430] : (((is_Arr553848933le_alt(X_2428_428) & is_Arr553848933le_alt(Y_1429_429)) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L430_430), arrow_1239002508le_Lin)) => (~=(X_2428_428, Y_1429_429) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2428_428, Y_1429_429)), L430_430)) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1429_429, X_2428_428)), L430_430))))))), ! [X_2431_431, A432_432] : ((hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2431_431), A432_432)) <=> hBOOL(hAPP_A1466488369i_bool(A432_432, X_2431_431)))), ! [X_2433_433, A434_434] : ((hBOOL(hAPP_f387058535l_bool(member_bool(X_2433_433), A434_434)) <=> hBOOL(hAPP_bool_bool(A434_434, X_2433_433)))), ! [X_2435_435, A436_436] : ((hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2435_435), A436_436)) <=> hBOOL(hAPP_P2075002375t_bool(A436_436, X_2435_435)))), ! [X_2437_437, A438_438] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2437_437), A438_438)) <=> hBOOL(hAPP_f1636546729l_bool(A438_438, X_2437_437)))), ! [X_2439_439, A440_440] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2439_439), A440_440)) <=> hBOOL(hAPP_f785543729l_bool(A440_440, X_2439_439)))), ! [X_2441_441, A442_442] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2441_441), A442_442)) <=> hBOOL(hAPP_f745298353l_bool(A442_442, X_2441_441)))), ! [Pa443_443] : ((is_fun917378774i_bool(Pa443_443) => =(collec45183100e_indi(Pa443_443), Pa443_443))), ! [X_2444_444, L445_445] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L445_445), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, L445_445), X_2444_444)), arrow_1239002508le_Lin)))), ! [X_2446_446, L447_447] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L447_447), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, L447_447), X_2446_446)), arrow_1239002508le_Lin)))), ! [L448_448, X_2449_449, Y_1450_450] : (((is_Arr553848933le_alt(X_2449_449) & is_Arr553848933le_alt(Y_1450_450)) => (~=(X_2449_449, Y_1450_450) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L448_448), arrow_1239002508le_Lin)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, L448_448), X_2449_449), Y_1450_450)), arrow_1239002508le_Lin)))))), ! [L451_451] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L451_451), arrow_1239002508le_Lin)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, L451_451)), arrow_413697182e_Prof)))), ! [X_2452_452, Y_1453_453, L454_454, Aa455_455, Ba456_456] : (((((is_Arr553848933le_alt(X_2452_452) & is_Arr553848933le_alt(Y_1453_453)) & is_Arr553848933le_alt(Aa455_455)) & is_Arr553848933le_alt(Ba456_456)) => (~=(Aa455_455, Ba456_456) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L454_454), arrow_1239002508le_Lin)) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Y_1453_453)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, L454_454), Aa455_455), Ba456_456))) <=> ((~=(X_2452_452, Y_1453_453) & (=(X_2452_452, Ba456_456) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa455_455, Y_1453_453)), L454_454)))) & (~=(X_2452_452, Ba456_456) => ((=(Y_1453_453, Ba456_456) => (=(X_2452_452, Aa455_455) | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Aa455_455)), L454_454)))) & (~=(Y_1453_453, Ba456_456) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2452_452, Y_1453_453)), L454_454))))))))))), ! [I_1457_457, Fa458_458] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa458_458), pi_fun433100839t_bool(arrow_413697182e_Prof, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, arrow_1239002508le_Lin)))) => (! [X_1459_459] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1459_459), arrow_413697182e_Prof)) => ! [A_1460_460, B_1461_461] : (((is_Arr553848933le_alt(A_1460_460) & is_Arr553848933le_alt(B_1461_461)) => (~=(A_1460_460, B_1461_461) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1460_460, B_1461_461)), hAPP_A1374816149t_bool(X_1459_459, I_1457_457))) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1460_460, B_1461_461)), hAPP_f695124765t_bool(Fa458_458, X_1459_459))))))))) => hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator, Fa458_458), I_1457_457))))), ! [X_2462_462, F463_463, A464_464, B465_465] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F463_463), pi_Pro2135156861t_bool(A464_464, B465_465))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F463_463, X_2462_462)), hAPP_P2127852789l_bool(B465_465, X_2462_462))) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2462_462), A464_464))))), ! [X_2466_466, F467_467, A468_468, B469_469] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F467_467), pi_Arr149813489le_alt(A468_468, B469_469))) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F467_467, X_2466_466)), hAPP_A1374816149t_bool(B469_469, X_2466_466))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2466_466), A468_468))))), ! [X_2470_470, F471_471, A472_472, B473_473] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F471_471), pi_boo1877522301le_alt(A472_472, B473_473))) => (~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F471_471, X_2470_470)), hAPP_b1024867081t_bool(B473_473, X_2470_470))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2470_470), A472_472))))), ! [X_2474_474, F475_475, A476_476, B477_477] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F475_475), pi_Arr1511953043t_bool(A476_476, B477_477))) => (~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F475_475, X_2474_474)), hAPP_A1912483895l_bool(B477_477, X_2474_474))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2474_474), A476_476))))), ! [X_2478_478, F479_479, A480_480, B481_481] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F479_479), pi_boo691944735t_bool(A480_480, B481_481))) => (~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F479_479, X_2478_478)), hAPP_b1719629739l_bool(B481_481, X_2478_478))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2478_478), A480_480))))), ! [X_2482_482, F483_483, A484_484, B485_485] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F483_483), pi_Arr372473371t_bool(A484_484, B485_485))) => (~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F483_483, X_2482_482)), hAPP_A1964572607l_bool(B485_485, X_2482_482))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2482_482), A484_484))))), ! [X_2486_486, F487_487, A488_488, B489_489] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F487_487), pi_boo71521447t_bool(A488_488, B489_489))) => (~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F487_487, X_2486_486)), hAPP_b990649139l_bool(B489_489, X_2486_486))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2486_486), A488_488))))), ! [X_2490_490, F491_491, A492_492, B493_493] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F491_491), pi_boo2007389459t_bool(A492_492, B493_493))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F491_491, X_2490_490)), hAPP_b1965422783l_bool(B493_493, X_2490_490))) => ~hBOOL(hAPP_f387058535l_bool(member_bool(X_2490_490), A492_492))))), ! [X_2494_494, F495_495, A496_496, B497_497] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F495_495), pi_Pro437273841e_indi(A496_496, B497_497))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F495_495, X_2494_494)), hAPP_P907763049i_bool(B497_497, X_2494_494))) => ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2494_494), A496_496))))), ! [X_2498_498, F499_499, A500_500, B501_501] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F499_499), pi_fun1736243859e_indi(A500_500, B501_501))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F499_499, X_2498_498)), hAPP_f749892423i_bool(B501_501, X_2498_498))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2498_498), A500_500))))), ! [X_2502_502, F503_503, A504_504, B505_505] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F503_503), pi_fun1494794527l_bool(A504_504, B505_505))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F503_503, X_2502_502)), hAPP_f313042899l_bool(B505_505, X_2502_502))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2502_502), A504_504))))), ! [X_2506_506, F507_507, A508_508, B509_509] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F507_507), pi_fun2075749915e_indi(A508_508, B509_509))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F507_507, X_2506_506)), hAPP_f355113919i_bool(B509_509, X_2506_506))) => ~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2506_506), A508_508))))), ! [X_2510_510, F511_511, A512_512, B513_513] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F511_511), pi_fun525942951l_bool(A512_512, B513_513))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F511_511, X_2510_510)), hAPP_f497468491l_bool(B513_513, X_2510_510))) => ~hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2510_510), A512_512))))), ! [X_2514_514, F515_515, A516_516, B517_517] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F515_515), pi_fun972956463e_indi(A516_516, B517_517))) => (~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F515_515, X_2514_514)), hAPP_f352490559i_bool(B517_517, X_2514_514))) => ~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2514_514), A516_516))))), ! [X_2518_518, F519_519, A520_520, B521_521] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F519_519), pi_fun1727820731l_bool(A520_520, B521_521))) => (~hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F519_519, X_2518_518)), hAPP_f417299659l_bool(B521_521, X_2518_518))) => ~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2518_518), A520_520))))), ! [X_2522_522, F523_523, A524_524, B525_525] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F523_523), pi_fun433100839t_bool(A524_524, B525_525))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F523_523, X_2522_522)), hAPP_f861484971l_bool(B525_525, X_2522_522))) => ~hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2522_522), A524_524))))), ! [X_2526_526, F527_527, A528_528, B529_529] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F527_527), pi_Arr688267935t_bool(A528_528, B529_529))) => (~hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F527_527, X_2526_526)), hAPP_A1944296755l_bool(B529_529, X_2526_526))) => ~hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2526_526), A528_528))))), ! [Aa530_530, Ba531_531] : (((is_Arr553848933le_alt(Aa530_530) & is_Arr553848933le_alt(Ba531_531)) => (~=(Aa530_530, Ba531_531) => ? [X_1532_532] : (((is_fun282293932t_bool(X_1532_532) & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1532_532), arrow_1239002508le_Lin))) & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa530_530, Ba531_531)), X_1532_532))))))), ! [Na533_533] : (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), Na533_533)), lab), lba)), arrow_413697182e_Prof))), ! [X_2534_534, F535_535, A536_536, B537_537] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F535_535), pi_Pro2135156861t_bool(A536_536, B537_537))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2534_534), A536_536)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F535_535, X_2534_534)), hAPP_P2127852789l_bool(B537_537, X_2534_534)))))), ! [X_2538_538, F539_539, A540_540, B541_541] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F539_539), pi_Pro437273841e_indi(A540_540, B541_541))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2538_538), A540_540)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F539_539, X_2538_538)), hAPP_P907763049i_bool(B541_541, X_2538_538)))))), ! [X_2542_542, F543_543, A544_544, B545_545] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F543_543), pi_fun1736243859e_indi(A544_544, B545_545))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2542_542), A544_544)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F543_543, X_2542_542)), hAPP_f749892423i_bool(B545_545, X_2542_542)))))), ! [X_2546_546, F547_547, A548_548, B549_549] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F547_547), pi_fun1494794527l_bool(A548_548, B549_549))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2546_546), A548_548)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F547_547, X_2546_546)), hAPP_f313042899l_bool(B549_549, X_2546_546)))))), ! [X_2550_550, F551_551, A552_552, B553_553] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F551_551), pi_fun2075749915e_indi(A552_552, B553_553))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2550_550), A552_552)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F551_551, X_2550_550)), hAPP_f355113919i_bool(B553_553, X_2550_550)))))), ! [X_2554_554, F555_555, A556_556, B557_557] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F555_555), pi_fun525942951l_bool(A556_556, B557_557))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2554_554), A556_556)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F555_555, X_2554_554)), hAPP_f497468491l_bool(B557_557, X_2554_554)))))), ! [X_2558_558, F559_559, A560_560, B561_561] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F559_559), pi_fun972956463e_indi(A560_560, B561_561))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2558_558), A560_560)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F559_559, X_2558_558)), hAPP_f352490559i_bool(B561_561, X_2558_558)))))), ! [X_2562_562, F563_563, A564_564, B565_565] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F563_563), pi_fun1727820731l_bool(A564_564, B565_565))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2562_562), A564_564)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F563_563, X_2562_562)), hAPP_f417299659l_bool(B565_565, X_2562_562)))))), ! [X_2566_566, F567_567, A568_568, B569_569] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F567_567), pi_Arr149813489le_alt(A568_568, B569_569))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2566_566), A568_568)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F567_567, X_2566_566)), hAPP_A1374816149t_bool(B569_569, X_2566_566)))))), ! [X_2570_570, F571_571, A572_572, B573_573] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F571_571), pi_boo1877522301le_alt(A572_572, B573_573))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2570_570), A572_572)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F571_571, X_2570_570)), hAPP_b1024867081t_bool(B573_573, X_2570_570)))))), ! [X_2574_574, F575_575, A576_576, B577_577] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F575_575), pi_Arr1511953043t_bool(A576_576, B577_577))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2574_574), A576_576)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F575_575, X_2574_574)), hAPP_A1912483895l_bool(B577_577, X_2574_574)))))), ! [X_2578_578, F579_579, A580_580, B581_581] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F579_579), pi_boo691944735t_bool(A580_580, B581_581))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2578_578), A580_580)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F579_579, X_2578_578)), hAPP_b1719629739l_bool(B581_581, X_2578_578)))))), ! [X_2582_582, F583_583, A584_584, B585_585] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F583_583), pi_Arr372473371t_bool(A584_584, B585_585))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2582_582), A584_584)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F583_583, X_2582_582)), hAPP_A1964572607l_bool(B585_585, X_2582_582)))))), ! [X_2586_586, F587_587, A588_588, B589_589] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F587_587), pi_boo71521447t_bool(A588_588, B589_589))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2586_586), A588_588)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F587_587, X_2586_586)), hAPP_b990649139l_bool(B589_589, X_2586_586)))))), ! [X_2590_590, F591_591, A592_592, B593_593] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F591_591), pi_boo2007389459t_bool(A592_592, B593_593))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2590_590), A592_592)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F591_591, X_2590_590)), hAPP_b1965422783l_bool(B593_593, X_2590_590)))))), ! [X_2594_594, F595_595, A596_596, B597_597] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F595_595), pi_fun433100839t_bool(A596_596, B597_597))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2594_594), A596_596)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F595_595, X_2594_594)), hAPP_f861484971l_bool(B597_597, X_2594_594)))))), ! [X_2598_598, F599_599, A600_600, B601_601] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F599_599), pi_Arr688267935t_bool(A600_600, B601_601))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2598_598), A600_600)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F599_599, X_2598_598)), hAPP_A1944296755l_bool(B601_601, X_2598_598)))))), =(arrow_413697182e_Prof, pi_Arr688267935t_bool(top_to1256827021i_bool, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, arrow_1239002508le_Lin))), ! [X_2602_602, F603_603, A604_604, B605_605] : ((hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F603_603), pi_Pro2135156861t_bool(A604_604, hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, B605_605)))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2602_602), A604_604)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F603_603, X_2602_602)), B605_605))))), ! [X_2606_606, F607_607, A608_608, B609_609] : ((hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F607_607), pi_Pro437273841e_indi(A608_608, hAPP_f1970593179i_bool(cOMBK_100791596le_alt, B609_609)))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2606_606), A608_608)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F607_607, X_2606_606)), B609_609))))), ! [X_2610_610, F611_611, A612_612, B613_613] : ((hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F611_611), pi_fun1736243859e_indi(A612_612, hAPP_f681113465i_bool(cOMBK_454107598t_bool, B613_613)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2610_610), A612_612)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F611_611, X_2610_610)), B613_613))))), ! [X_2614_614, F615_615, A616_616, B617_617] : ((hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F615_615), pi_fun1494794527l_bool(A616_616, hAPP_f219827985l_bool(cOMBK_886533338t_bool, B617_617)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2614_614), A616_616)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F615_615, X_2614_614)), B617_617))))), ! [X_2618_618, F619_619, A620_620, B621_621] : ((hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F619_619), pi_fun2075749915e_indi(A620_620, hAPP_f1677452273i_bool(cOMBK_1372975190t_bool, B621_621)))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2618_618), A620_620)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F619_619, X_2618_618)), B621_621))))), ! [X_2622_622, F623_623, A624_624, B625_625] : ((hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F623_623), pi_fun525942951l_bool(A624_624, hAPP_f1235573641l_bool(cOMBK_1072228194t_bool, B625_625)))) => (hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2622_622), A624_624)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F623_623, X_2622_622)), B625_625))))), ! [X_2626_626, F627_627, A628_628, B629_629] : ((hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F627_627), pi_fun972956463e_indi(A628_628, hAPP_f1903519657i_bool(cOMBK_2076140708t_bool, B629_629)))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2626_626), A628_628)) => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F627_627, X_2626_626)), B629_629))))), ! [X_2630_630, F631_631, A632_632, B633_633] : ((hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F631_631), pi_fun1727820731l_bool(A632_632, hAPP_f1667233577l_bool(cOMBK_1015076504t_bool, B633_633)))) => (hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2630_630), A632_632)) => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F631_631, X_2630_630)), B633_633))))), ! [X_2634_634, F635_635, A636_636, B637_637] : ((hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F635_635), pi_Arr149813489le_alt(A636_636, hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, B637_637)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2634_634), A636_636)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F635_635, X_2634_634)), B637_637))))), ! [X_2638_638, F639_639, A640_640, B641_641] : ((hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F639_639), pi_boo1877522301le_alt(A640_640, hAPP_f1520552209t_bool(cOMBK_697786936l_bool, B641_641)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2638_638), A640_640)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F639_639, X_2638_638)), B641_641))))), ! [X_2642_642, F643_643, A644_644, B645_645] : ((hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F643_643), pi_Arr1511953043t_bool(A644_644, hAPP_f813556705l_bool(cOMBK_116240846e_indi, B645_645)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2642_642), A644_644)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F643_643, X_2642_642)), B645_645))))), ! [X_2646_646, F647_647, A648_648, B649_649] : ((hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F647_647), pi_boo691944735t_bool(A648_648, hAPP_f371807573l_bool(cOMBK_697604314l_bool, B649_649)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2646_646), A648_648)) => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F647_647, X_2646_646)), B649_649))))), ! [X_2650_650, F651_651, A652_652, B653_653] : ((hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F651_651), pi_Arr372473371t_bool(A652_652, hAPP_f1697527281l_bool(cOMBK_1292462166e_indi, B653_653)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2650_650), A652_652)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F651_651, X_2650_650)), B653_653))))), ! [X_2654_654, F655_655, A656_656, B657_657] : ((hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F655_655), pi_boo71521447t_bool(A656_656, hAPP_f448497509l_bool(cOMBK_1268833122l_bool, B657_657)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2654_654), A656_656)) => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F655_655, X_2654_654)), B657_657))))), ! [X_2658_658, F659_659, A660_660, B661_661] : ((hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F659_659), pi_boo2007389459t_bool(A660_660, hAPP_f2135750719l_bool(cOMBK_971068024l_bool, B661_661)))) => (hBOOL(hAPP_f387058535l_bool(member_bool(X_2658_658), A660_660)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F659_659, X_2658_658)), B661_661))))), ! [X_2662_662, F663_663, A664_664, B665_665] : ((hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F663_663), pi_fun433100839t_bool(A664_664, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, B665_665)))) => (hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2662_662), A664_664)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F663_663, X_2662_662)), B665_665))))), ! [X_2666_666, F667_667, A668_668, B669_669] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F667_667), pi_Arr688267935t_bool(A668_668, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, B669_669)))) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2666_666), A668_668)) => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F667_667, X_2666_666)), B669_669))))), ! [A673_673] : (=(pi_Pro2135156861t_bool(A673_673, hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, top_to1647826457l_bool)), top_to2005687013l_bool)), ! [A674_674] : (=(pi_fun433100839t_bool(A674_674, hAPP_f20355883l_bool(cOMBK_1088865252t_bool, top_to2005687013l_bool)), top_to40512653l_bool)), ! [A675_675] : (=(pi_Arr688267935t_bool(A675_675, hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, top_to2005687013l_bool)), top_to1194196741l_bool)), (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), hAPP_f695124765t_bool(f, cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), lab), lba))))), ! [I676_676] : ((((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, hAPP_A1374816149t_bool(p, I676_676)), e)))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => ((=(hAPP_A588601142di_nat(h, I676_676), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, hAPP_A1374816149t_bool(p, I676_676)), c), e)))) & (~=(hAPP_A588601142di_nat(h, I676_676), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, hAPP_A1374816149t_bool(p, I676_676)), e))))))) <=> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lab))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, I676_676)), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lba)))))), ~=(a, b), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lba)), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a, b)), lab)), ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a, b)), lba)), ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b, a)), lab)), hBOOL(fTrue), ! [P677_677] : ((is_bool(P677_677) => (=(P677_677, fTrue) | =(P677_677, fFalse)))), ! [X678_678, Y679_679] : ((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, X678_678), Y679_679)) | =(X678_678, Y679_679))), ! [X680_680, Y681_681] : ((~=(X680_680, Y681_681) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, X680_680), Y681_681)))), ! [P682_682, Q683_683] : ((is_bool(P682_682) => =(hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi, P682_682), Q683_683), P682_682))), ! [P684_684, Q685_685, R686_686] : (=(hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P684_684, Q685_685), R686_686), hAPP_nat_bool(hAPP_A1922697556t_bool(P684_684, R686_686), Q685_685))), ! [P687_687, Q688_688, R689_689] : (=(hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P687_687, Q688_688), R689_689), hAPP_n1699378549t_bool(P687_687, hAPP_A588601142di_nat(Q688_688, R689_689)))), ! [P690_690, Q691_691] : ((is_bool(P690_690) => =(hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt, P690_690), Q691_691), P690_690))), ! [X692_692, Y693_693] : ((is_fun282293932t_bool(X692_692) => =(hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool, fTrue), X692_692), Y693_693), X692_692))), ! [X694_694, Y695_695] : ((is_fun282293932t_bool(Y695_695) => =(hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool, fFalse), X694_694), Y695_695), Y695_695))), ! [P696_696] : ((is_bool(P696_696) => (=(P696_696, fTrue) | =(P696_696, fFalse)))), ! [P697_697, Q698_698] : ((is_bool(P697_697) => =(hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool, P697_697), Q698_698), P697_697))), ! [P699_699, Q700_700] : (=(hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt, P699_699), Q700_700), P699_699)), ! [P701_701, Q702_702] : ((is_fun282293932t_bool(P701_701) => =(hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool, P701_701), Q702_702), P701_701))), ! [P703_703, Q704_704] : (=(hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool, P703_703), Q704_704), P703_703)), ! [P705_705, Q706_706] : ((is_fun432044380l_bool(P705_705) => =(hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool, P705_705), Q706_706), P705_705))), ! [P707_707, Q708_708] : ((is_fun917378774i_bool(P707_707) => =(hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt, P707_707), Q708_708), P707_707))), ! [P709_709, Q710_710] : ((is_fun282293932t_bool(P709_709) => =(hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi, P709_709), Q710_710), P709_709))), ! [P711_711, Q712_712] : ((is_bool(P711_711) => =(hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool, P711_711), Q712_712), P711_711))), ! [P713_713, Q714_714] : ((is_fun917378774i_bool(P713_713) => =(hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool, P713_713), Q714_714), P713_713))), ! [P715_715, Q716_716] : ((is_fun432044380l_bool(P715_715) => =(hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi, P715_715), Q716_716), P715_715))), ! [P717_717, Q718_718] : (=(hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool, P717_717), Q718_718), P717_717)), ! [P719_719, Q720_720] : ((is_fun959573582l_bool(P719_719) => =(hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool, P719_719), Q720_720), P719_719))), ! [P721_721, Q722_722, R723_723] : (=(hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P721_721, Q722_722), R723_723), hAPP_A619995676t_bool(hAPP_A702630576t_bool(P721_721, R723_723), Q722_722))), ! [P724_724, Q725_725] : ((is_fun917378774i_bool(P724_724) => =(hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool, P724_724), Q725_725), P724_724))), ! [P726_726, Q727_727] : ((is_fun959573582l_bool(P726_726) => =(hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi, P726_726), Q727_727), P726_726))), ! [P728_728, Q729_729, R730_730] : (=(hAPP_A702630576t_bool(cOMBC_493523632t_bool(P728_728, Q729_729), R730_730), hAPP_A384644407t_bool(hAPP_A460042315t_bool(P728_728, R730_730), Q729_729))), ! [P731_731, Q732_732, R733_733] : (=(hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P731_731, Q732_732), R733_733), hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P731_731, R733_733), Q732_732))), ! [P734_734, Q735_735, R736_736] : (=(hAPP_A1374816149t_bool(cOMBS_867867294t_bool(P734_734, Q735_735), R736_736), hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P734_734, R736_736), hAPP_A1374816149t_bool(Q735_735, R736_736)))), ! [P737_737, Q738_738] : ((is_bool(P737_737) => =(hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool, P737_737), Q738_738), P737_737))), ! [P739_739, Q740_740] : ((is_fun432044380l_bool(P739_739) => =(hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool, P739_739), Q740_740), P739_739))), ! [P741_741, Q742_742] : (=(hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool, P741_741), Q742_742), P741_741)), ! [P743_743, Q744_744] : ((is_fun631676118l_bool(P743_743) => =(hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool, P743_743), Q744_744), P743_743))), ! [P745_745, Q746_746, R747_747] : (=(hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P745_745, Q746_746), R747_747), hAPP_f1290184496t_bool(P745_745, hAPP_A1374816149t_bool(Q746_746, R747_747)))), ! [P748_748, Q749_749] : ((is_fun917378774i_bool(P748_748) => =(hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool, P748_748), Q749_749), P748_748))), ! [P750_750, Q751_751] : ((is_fun631676118l_bool(P750_750) => =(hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi, P750_750), Q751_751), P750_750))), ! [P752_752, Q753_753, R754_754] : (=(hAPP_A460042315t_bool(cOMBB_69933763e_indi(P752_752, Q753_753), R754_754), hAPP_f1336478923t_bool(P752_752, hAPP_A1374816149t_bool(Q753_753, R754_754)))), ! [P755_755, Q756_756, R757_757] : (=(hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P755_755, Q756_756), R757_757), hAPP_f159424297t_bool(hAPP_A869356733t_bool(P755_755, R757_757), Q756_756))), ! [P758_758, Q759_759, R760_760] : (=(hAPP_A1333445289t_bool(cOMBS_102864562t_bool(P758_758, Q759_759), R760_760), hAPP_f159424297t_bool(hAPP_A869356733t_bool(P758_758, R760_760), hAPP_A1374816149t_bool(Q759_759, R760_760)))), ! [P761_761, Q762_762, R763_763] : (=(hAPP_A869356733t_bool(cOMBB_963584201e_indi(P761_761, Q762_762), R763_763), hAPP_b1915039793t_bool(P761_761, hAPP_A1466488369i_bool(Q762_762, R763_763)))), ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p)))
% 49.99/31.09
% 49.99/31.09 [1] Rewrite : hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA, f))
% 49.99/31.09 -> [2] ! [X_1249_249] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1249_249), arrow_413697182e_Prof)) => ! [Xa250_250] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa250_250), arrow_413697182e_Prof)) => ! [A_1251_251, B_1252_252] : (((is_Arr553848933le_alt(A_1251_251) & is_Arr553848933le_alt(B_1252_252)) => (! [I253_253] : ((is_Arr625519182e_indi(I253_253) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1251_251, B_1252_252)), hAPP_A1374816149t_bool(X_1249_249, I253_253))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1251_251, B_1252_252)), hAPP_A1374816149t_bool(Xa250_250, I253_253)))))) => (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1251_251, B_1252_252)), hAPP_f695124765t_bool(f, X_1249_249))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1251_251, B_1252_252)), hAPP_f695124765t_bool(f, Xa250_250)))))))))))
% 49.99/31.09
% 49.99/31.09 [2] Rewrite : hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity, f))
% 49.99/31.09 -> [3] ! [X_1255_255] : ((hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1255_255), arrow_413697182e_Prof)) => ! [A_1256_256, B_1257_257] : (((is_Arr553848933le_alt(A_1256_256) & is_Arr553848933le_alt(B_1257_257)) => (! [I258_258] : ((is_Arr625519182e_indi(I258_258) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1256_256, B_1257_257)), hAPP_A1374816149t_bool(X_1255_255, I258_258))))) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1256_256, B_1257_257)), hAPP_f695124765t_bool(f, X_1255_255))))))))
% 49.99/31.09
% 49.99/31.09 [3] Rewrite : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))))
% 49.99/31.09 -> [4] ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e)))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => ((=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), c), e)))) & (~=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e)))))))
% 49.99/31.09
% 49.99/31.09 [4] Rewrite : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, n), finite120254591e_indi(top_to1256827021i_bool)))
% 49.99/31.09 -> [5] ~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, finite120254591e_indi(top_to1256827021i_bool)), n)) | =(n, finite120254591e_indi(top_to1256827021i_bool)))
% 49.99/31.09
% 49.99/31.09 [5] Rewrite : hBOOL(inj_on24934938di_nat(h, top_to1256827021i_bool))
% 49.99/31.09 -> [6] ! [X_1402_402] : ((is_Arr625519182e_indi(X_1402_402) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1402_402), top_to1256827021i_bool)) => ! [Xa403_403] : ((is_Arr625519182e_indi(Xa403_403) => (hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa403_403), top_to1256827021i_bool)) => (=(hAPP_A588601142di_nat(h, X_1402_402), hAPP_A588601142di_nat(h, Xa403_403)) => =(X_1402_402, Xa403_403))))))))
% 49.99/31.09
% 49.99/31.09 [6] ALPHA_AND : ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e)))) & (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => ((=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), c), e)))) & (~=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e)))))))
% 49.99/31.09 -> [7] (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e)))), (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), n)) => ((=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), c), e)))) & (~=(hAPP_A588601142di_nat(h, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n)), n) => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot, hAPP_A1374816149t_bool(p, hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool, h), n))), e))))))
% 49.99/31.09
% 49.99/31.09 [7] ALPHA_NOT_OR : ~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, finite120254591e_indi(top_to1256827021i_bool)), n)) | =(n, finite120254591e_indi(top_to1256827021i_bool)))
% 49.99/31.09 -> [8] ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, finite120254591e_indi(top_to1256827021i_bool)), n)), ~=(n, finite120254591e_indi(top_to1256827021i_bool))
% 49.99/31.09
% 49.99/31.09 [8] Rewrite : ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, finite120254591e_indi(top_to1256827021i_bool)), n))
% 49.99/31.09 -> [9] (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat, n), finite120254591e_indi(top_to1256827021i_bool))) | =(finite120254591e_indi(top_to1256827021i_bool), n))
% 49.99/31.09
% 49.99/31.09 [9] BETA_EQUIV : (hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))) <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e)))))))
% 49.99/31.09 -> [10] ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))), ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e))))))
% 49.99/31.09 -> [11] hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p))), hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e))))))
% 49.99/31.09
% 49.99/31.09 [10] CLOSURE : ~hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat, h), n)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop, p), e)), cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool, cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat, h), n)), cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above, p), c), e)), cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p), e))))))
% 49.99/31.09
% 49.99/31.09 [11] CLOSURE : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c, d)), hAPP_f695124765t_bool(f, p)))
% 49.99/31.09
% 49.99/31.09 % SZS output end Proof for theBenchmark.p
% 49.99/31.09 [30.753120s][1][Res] 262299 goroutines created
% 49.99/31.09 ==== Result ====
% 49.99/31.09 [30.753171s][1][Res] VALID
% 49.99/31.09 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------