TPTP Problem File: SWC516_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWC516_1 : TPTP v9.0.0. Released v9.0.0.
% Domain : Software Creation
% Problem : Atelier-B Proof Obligation: PO 2 18 Group s951 Tag s952
% Version : Especial.
% English :
% Refs : [Deh22] Deharbe (2022), Proof Obligations from the B Formal Me
% : [Deh24] Deharbe (2024), Email to Geoff Sutcliffe
% Source : [Deh24]
% Names : 0000-00423-2-18.tptp [Deh24]
% Status : Theorem
% Rating : 0.00 v9.0.0
% Syntax : Number of formulae : 2365 ( 775 unt;1027 typ; 0 def)
% Number of atoms : 3877 ( 958 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 2880 ( 254 ~; 194 |;1206 &)
% ( 551 <=>; 675 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 490 ( 2 fml; 488 var)
% Number arithmetic : 2781 ( 558 atm; 71 fun; 351 num;1801 var)
% Number of types : 27 ( 24 usr; 2 ari)
% Number of type conns : 121 ( 53 >; 68 *; 0 +; 0 <<)
% Number of predicates : 33 ( 26 usr; 4 prp; 0-6 aty)
% Number of functors : 1076 ( 977 usr;1042 con; 0-2 aty)
% Number of variables : 2291 (1885 !; 406 ?;2291 :)
% SPC : TX0_THM_EQU_ARI
% Comments : Autogenerated by PPTRANS-TPTP - github.com/CLEARSY/pptranspog
%------------------------------------------------------------------------------
tff(set_0_type,type,
set_0: $tType ).
tff(mem0_type,type,
mem0: ( $int * set_0 ) > $o ).
tff(set_1_type,type,
set_1: $tType ).
tff(mem1_type,type,
mem1: ( $real * set_1 ) > $o ).
tff(b_division_type,type,
divB: ( $int * $int ) > $int ).
tff(b_division_def_1,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(0,X)
& $less(0,Y) )
=> ( divB(X,Y) = $quotient_f(X,Y) ) ) ).
tff(b_division_def_2,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(X,0)
& $less(0,Y) )
=> ( divB(X,Y) = $uminus($quotient_f($uminus(X),Y)) ) ) ).
tff(b_division_def_3,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(0,X)
& $less(Y,0) )
=> ( divB(X,Y) = $quotient_f(X,Y) ) ) ).
tff(b_division_def_4,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(X,0)
& $less(Y,0) )
=> ( divB(X,Y) = $quotient_f($uminus(X),$uminus(Y)) ) ) ).
tff(exp_type,type,
exp: ( $int * $int ) > $int ).
tff(exp_def_1,axiom,
! [X: $int] : ( exp(X,0) = 1 ) ).
tff(exp_def_2,axiom,
! [X: $int,Y: $int] :
( $greatereq(Y,1)
=> ( exp(X,Y) = $sum(X,exp(X,$difference(Y,1))) ) ) ).
tff(rexp_type,type,
rexp: ( $real * $int ) > $real ).
tff(rexp_def_1,axiom,
! [X: $real] :
( ( X != 0.0 )
=> ( rexp(X,0) = 1.0 ) ) ).
tff(rexp_def_2,axiom,
! [X: $real,Y: $int] :
( $greatereq(Y,1)
=> ( rexp(X,Y) = $sum(X,rexp(X,$difference(Y,1))) ) ) ).
tff(isum_type,type,
isum: set_0 > $int ).
tff(isum_def_1,axiom,
! [S: set_0] :
( ! [X: $int] : ~ mem0(X,S)
=> ( isum(S) = 0 ) ) ).
tff(isum_def_2,axiom,
! [S1: set_0,S2: set_0,E: $int,N: $int] :
( ( ( isum(S1) = N )
& ~ mem0(E,S1)
& ! [X: $int] :
( mem0(X,S2)
=> ( ( X = E )
| mem0(X,S1) ) )
& ! [X: $int] :
( mem0(X,S1)
=> mem0(X,S2) ) )
=> ( isum(S2) = $sum(N,E) ) ) ).
tff(rsum_type,type,
rsum: set_1 > $real ).
tff(rsum_def_1,axiom,
! [S: set_1,X: $real] :
( ~ mem1(X,S)
=> ( rsum(S) = 0.0 ) ) ).
tff(rsum_def_2,axiom,
! [S1: set_1,S2: set_1,E: $real,N: $real] :
( ( ( rsum(S1) = N )
& ~ mem1(E,S1)
& ! [X: $real] :
( mem1(X,S2)
=> ( ( X = E )
| mem1(X,S1) ) )
& ! [X: $real] :
( mem1(X,S1)
=> mem1(X,S2) ) )
=> ( rsum(S2) = $sum(N,E) ) ) ).
tff(iprod_type,type,
iprod: set_0 > $int ).
tff(iprod_def_1,axiom,
! [S: set_0,X: $int] :
( ~ mem0(X,S)
=> ( iprod(S) = 1 ) ) ).
tff(iprod_def_2,axiom,
! [S1: set_0,S2: set_0,E: $int,N: $int] :
( ( ( iprod(S1) = N )
& ~ mem0(E,S1)
& ! [X: $int] :
( mem0(X,S2)
=> ( ( X = E )
| mem0(X,S1) ) )
& ! [X: $int] :
( ( ( X = E )
| mem0(X,S1) )
=> mem0(X,S2) ) )
=> ( isum(S2) = $product(N,E) ) ) ).
tff(rprod_type,type,
rprod: set_1 > $real ).
tff(rprod_def_1,axiom,
! [S: set_1,X: $real] :
( ~ mem1(X,S)
=> ( rprod(S) = 1.0 ) ) ).
tff(rprod_def_2,axiom,
! [S1: set_1,S2: set_1,E: $real,N: $real] :
( ( ( rprod(S1) = N )
& ~ mem1(E,S1)
& ! [X: $real] :
( mem1(X,S2)
=> ( ( X = E )
| mem1(X,S1) ) )
& ! [X: $real] :
( ( ( X = E )
| mem1(X,S1) )
=> mem1(X,S2) ) )
=> ( rprod(S2) = $sum(N,E) ) ) ).
tff(min_int_type,type,
min_int: $int ).
tff(max_int_type,type,
max_int: $int ).
tff(min_int_axiom,axiom,
min_int = $uminus(2147483648) ).
tff(max_int_axiom,axiom,
max_int = 2147483647 ).
%--------------------------------------------------------------------------
%----Global declarations
tff(g_s0_0_type,type,
g_s0_0: set_0 ).
tff(g_s100_100_type,type,
g_s100_100: $int ).
tff(g_s101_101_type,type,
g_s101_101: $int ).
tff(g_s102_102_type,type,
g_s102_102: $int ).
tff(g_s103_103_type,type,
g_s103_103: $int ).
tff(g_s104_104_type,type,
g_s104_104: $int ).
tff(g_s105_105_type,type,
g_s105_105: $int ).
tff(g_s106_106_type,type,
g_s106_106: $int ).
tff(g_s107_107_type,type,
g_s107_107: $int ).
tff(g_s108_108_type,type,
g_s108_108: $int ).
tff(g_s109_109_type,type,
g_s109_109: set_0 ).
tff(g_s10_10_type,type,
g_s10_10: $int ).
tff(g_s110_110_type,type,
g_s110_110: $int ).
tff(g_s111_111_type,type,
g_s111_111: $int ).
tff(g_s112_112_type,type,
g_s112_112: $int ).
tff(g_s113_113_type,type,
g_s113_113: $int ).
tff(g_s114_114_type,type,
g_s114_114: set_0 ).
tff(g_s115_115_type,type,
g_s115_115: $int ).
tff(g_s116_116_type,type,
g_s116_116: $int ).
tff(g_s117_117_type,type,
g_s117_117: $int ).
tff(g_s118_118_type,type,
g_s118_118: $int ).
tff(g_s119_119_type,type,
g_s119_119: $int ).
tff(g_s11_11_type,type,
g_s11_11: $int ).
tff(g_s120_120_type,type,
g_s120_120: $int ).
tff(g_s121_121_type,type,
g_s121_121: $int ).
tff(g_s122_122_type,type,
g_s122_122: set_0 ).
tff(g_s123_123_type,type,
g_s123_123: $int ).
tff(g_s124_124_type,type,
g_s124_124: $int ).
tff(g_s125_125_type,type,
g_s125_125: $int ).
tff(g_s126_126_type,type,
g_s126_126: $int ).
tff(g_s127_127_type,type,
g_s127_127: set_0 ).
tff(g_s128_128_type,type,
g_s128_128: $int ).
tff(g_s129_129_type,type,
g_s129_129: $int ).
tff(g_s12_12_type,type,
g_s12_12: set_0 ).
tff(g_s130_130_type,type,
g_s130_130: $int ).
tff(g_s131_131_type,type,
g_s131_131: $int ).
tff(g_s132_132_type,type,
g_s132_132: $int ).
tff(g_s133_133_type,type,
g_s133_133: set_0 ).
tff(g_s134_134_type,type,
g_s134_134: set_0 ).
tff(g_s135_135_type,type,
g_s135_135: set_0 ).
tff(g_s136_136_type,type,
g_s136_136: set_0 ).
tff(g_s137_137_type,type,
g_s137_137: set_0 ).
tff(g_s138_138_type,type,
g_s138_138: $int ).
tff(g_s139_139_type,type,
g_s139_139: $int ).
tff(g_s13_13_type,type,
g_s13_13: $int ).
tff(g_s140_140_type,type,
g_s140_140: $int ).
tff(g_s141_141_type,type,
g_s141_141: $int ).
tff(g_s142_142_type,type,
g_s142_142: $int ).
tff(g_s143_143_type,type,
g_s143_143: $int ).
tff(g_s144_144_type,type,
g_s144_144: $int ).
tff(g_s145_145_type,type,
g_s145_145: $int ).
tff(g_s146_146_type,type,
g_s146_146: $int ).
tff(g_s147_147_type,type,
g_s147_147: $int ).
tff(g_s148_148_type,type,
g_s148_148: $int ).
tff(g_s149_149_type,type,
g_s149_149: $int ).
tff(g_s14_14_type,type,
g_s14_14: $int ).
tff(g_s150_150_type,type,
g_s150_150: $int ).
tff(g_s151_151_type,type,
g_s151_151: $int ).
tff(g_s152_152_type,type,
g_s152_152: $int ).
tff(g_s153_153_type,type,
g_s153_153: $int ).
tff(g_s154_154_type,type,
g_s154_154: $int ).
tff(g_s155_155_type,type,
g_s155_155: set_0 ).
tff(g_s156_156_type,type,
g_s156_156: $int ).
tff(g_s157_157_type,type,
g_s157_157: $int ).
tff(g_s158_158_type,type,
g_s158_158: $int ).
tff(g_s159_159_type,type,
g_s159_159: $int ).
tff(g_s15_15_type,type,
g_s15_15: $int ).
tff(g_s160_160_type,type,
g_s160_160: $int ).
tff(g_s161_161_type,type,
g_s161_161: $int ).
tff(g_s162_162_type,type,
g_s162_162: $int ).
tff(g_s163_163_type,type,
g_s163_163: $int ).
tff(g_s164_164_type,type,
g_s164_164: $int ).
tff(g_s165_165_type,type,
g_s165_165: $int ).
tff(g_s166_166_type,type,
g_s166_166: $int ).
tff(g_s167_167_type,type,
g_s167_167: $int ).
tff(g_s168_168_type,type,
g_s168_168: $int ).
tff(g_s169_169_type,type,
g_s169_169: $int ).
tff(g_s16_16_type,type,
g_s16_16: set_0 ).
tff(g_s170_170_type,type,
g_s170_170: $int ).
tff(g_s171_171_type,type,
g_s171_171: $int ).
tff(g_s172_172_type,type,
g_s172_172: $int ).
tff(g_s173_173_type,type,
g_s173_173: set_0 ).
tff(g_s174_174_type,type,
g_s174_174: $int ).
tff(g_s175_175_type,type,
g_s175_175: $int ).
tff(g_s176_176_type,type,
g_s176_176: $int ).
tff(g_s177_177_type,type,
g_s177_177: set_0 ).
tff(g_s178_178_type,type,
g_s178_178: $int ).
tff(g_s179_179_type,type,
g_s179_179: $int ).
tff(g_s17_17_type,type,
g_s17_17: $int ).
tff(g_s180_180_type,type,
g_s180_180: set_0 ).
tff(g_s181_181_type,type,
g_s181_181: $int ).
tff(g_s182_182_type,type,
g_s182_182: $int ).
tff(g_s183_183_type,type,
g_s183_183: $int ).
tff(g_s184_184_type,type,
g_s184_184: $int ).
tff(g_s185_185_type,type,
g_s185_185: $int ).
tff(g_s186_186_type,type,
g_s186_186: $int ).
tff(g_s187_187_type,type,
g_s187_187: $int ).
tff(g_s188_188_type,type,
g_s188_188: $int ).
tff(g_s189_189_type,type,
g_s189_189: $int ).
tff(g_s18_18_type,type,
g_s18_18: $int ).
tff(g_s190_190_type,type,
g_s190_190: set_0 ).
tff(g_s191_191_type,type,
g_s191_191: $int ).
tff(g_s192_192_type,type,
g_s192_192: $int ).
tff(g_s193_193_type,type,
g_s193_193: $int ).
tff(g_s194_194_type,type,
g_s194_194: $int ).
tff(g_s195_195_type,type,
g_s195_195: set_0 ).
tff(g_s196_196_type,type,
g_s196_196: $int ).
tff(g_s197_197_type,type,
g_s197_197: $int ).
tff(g_s198_198_type,type,
g_s198_198: $int ).
tff(g_s199_199_type,type,
g_s199_199: $int ).
tff(g_s19_19_type,type,
g_s19_19: $int ).
tff(g_s1_1_type,type,
g_s1_1: $int ).
tff(g_s200_200_type,type,
g_s200_200: $int ).
tff(g_s201_201_type,type,
g_s201_201: $int ).
tff(g_s202_202_type,type,
g_s202_202: set_0 ).
tff(g_s203_203_type,type,
g_s203_203: $int ).
tff(g_s204_204_type,type,
g_s204_204: $int ).
tff(g_s205_205_type,type,
g_s205_205: $int ).
tff(g_s206_206_type,type,
g_s206_206: $int ).
tff(g_s207_207_type,type,
g_s207_207: $int ).
tff(g_s208_208_type,type,
g_s208_208: $int ).
tff(g_s209_209_type,type,
g_s209_209: set_0 ).
tff(g_s20_20_type,type,
g_s20_20: $int ).
tff(g_s210_210_type,type,
g_s210_210: $int ).
tff(g_s211_211_type,type,
g_s211_211: $int ).
tff(g_s212_212_type,type,
g_s212_212: $int ).
tff(g_s213_213_type,type,
g_s213_213: set_0 ).
tff(g_s214_214_type,type,
g_s214_214: $int ).
tff(g_s215_215_type,type,
g_s215_215: $int ).
tff(g_s216_216_type,type,
g_s216_216: $int ).
tff(g_s217_217_type,type,
g_s217_217: $int ).
tff(g_s218_218_type,type,
g_s218_218: set_0 ).
tff(g_s219_219_type,type,
g_s219_219: $int ).
tff(g_s21_21_type,type,
g_s21_21: $int ).
tff(g_s220_220_type,type,
g_s220_220: $int ).
tff(g_s221_221_type,type,
g_s221_221: $int ).
tff(g_s222_222_type,type,
g_s222_222: set_0 ).
tff(g_s223_223_type,type,
g_s223_223: $int ).
tff(g_s224_224_type,type,
g_s224_224: $int ).
tff(g_s225_225_type,type,
g_s225_225: $int ).
tff(g_s226_226_type,type,
g_s226_226: $int ).
tff(g_s227_227_type,type,
g_s227_227: set_0 ).
tff(g_s228_228_type,type,
g_s228_228: $int ).
tff(g_s229_229_type,type,
g_s229_229: $int ).
tff(g_s22_22_type,type,
g_s22_22: set_0 ).
tff(g_s230_230_type,type,
g_s230_230: $int ).
tff(g_s231_231_type,type,
g_s231_231: $int ).
tff(g_s232_232_type,type,
g_s232_232: set_0 ).
tff(g_s233_233_type,type,
g_s233_233: $int ).
tff(g_s234_234_type,type,
g_s234_234: $int ).
tff(g_s235_235_type,type,
g_s235_235: $int ).
tff(g_s236_236_type,type,
g_s236_236: $int ).
tff(g_s237_237_type,type,
g_s237_237: set_0 ).
tff(g_s238_238_type,type,
g_s238_238: $int ).
tff(g_s239_239_type,type,
g_s239_239: $int ).
tff(g_s23_23_type,type,
g_s23_23: $int ).
tff(g_s240_240_type,type,
g_s240_240: $int ).
tff(g_s241_241_type,type,
g_s241_241: set_3 ).
tff(g_s242_242_type,type,
g_s242_242: set_3 ).
tff(g_s243_243_type,type,
g_s243_243: set_0 ).
tff(g_s244_244_type,type,
g_s244_244: set_0 ).
tff(g_s245_245_type,type,
g_s245_245: set_0 ).
tff(g_s246_246_type,type,
g_s246_246: set_0 ).
tff(g_s247_247_type,type,
g_s247_247: set_0 ).
tff(g_s248_248_type,type,
g_s248_248: set_0 ).
tff(g_s249_249_type,type,
g_s249_249: set_3 ).
tff(g_s24_24_type,type,
g_s24_24: $int ).
tff(g_s250_250_type,type,
g_s250_250: set_0 ).
tff(g_s251_251_type,type,
g_s251_251: set_0 ).
tff(g_s252_252_type,type,
g_s252_252: $int ).
tff(g_s253_253_type,type,
g_s253_253: $int ).
tff(g_s254_254_type,type,
g_s254_254: $int ).
tff(g_s255_255_type,type,
g_s255_255: $int ).
tff(g_s256_256_type,type,
g_s256_256: $int ).
tff(g_s257_257_type,type,
g_s257_257: $int ).
tff(g_s258_258_type,type,
g_s258_258: $int ).
tff(g_s259_259_type,type,
g_s259_259: $int ).
tff(g_s25_25_type,type,
g_s25_25: set_0 ).
tff(g_s260_260_type,type,
g_s260_260: $int ).
tff(g_s261_261_type,type,
g_s261_261: $int ).
tff(g_s262_262_type,type,
g_s262_262: $int ).
tff(g_s263_263_type,type,
g_s263_263: $int ).
tff(g_s264_264_type,type,
g_s264_264: $int ).
tff(g_s265_265_type,type,
g_s265_265: $int ).
tff(g_s266_266_type,type,
g_s266_266: $int ).
tff(g_s267_267_type,type,
g_s267_267: $int ).
tff(g_s268_268_type,type,
g_s268_268: $int ).
tff(g_s269_269_type,type,
g_s269_269: $int ).
tff(g_s26_26_type,type,
g_s26_26: $int ).
tff(g_s270_270_type,type,
g_s270_270: $int ).
tff(g_s271_271_type,type,
g_s271_271: $int ).
tff(g_s272_272_type,type,
g_s272_272: $int ).
tff(g_s273_273_type,type,
g_s273_273: $int ).
tff(g_s274_274_type,type,
g_s274_274: $int ).
tff(g_s275_275_type,type,
g_s275_275: $int ).
tff(g_s276_276_type,type,
g_s276_276: $int ).
tff(g_s277_277_type,type,
g_s277_277: $int ).
tff(g_s278_278_type,type,
g_s278_278: $int ).
tff(g_s279_279_type,type,
g_s279_279: $int ).
tff(g_s27_27_type,type,
g_s27_27: $int ).
tff(g_s280_280_type,type,
g_s280_280: $int ).
tff(g_s281_281_type,type,
g_s281_281: $int ).
tff(g_s282_282_type,type,
g_s282_282: $int ).
tff(g_s283_283_type,type,
g_s283_283: $int ).
tff(g_s284_284_type,type,
g_s284_284: set_4 ).
tff(g_s286_285_type,type,
g_s286_285: set_4 ).
tff(g_s287_286_type,type,
g_s287_286: set_4 ).
tff(g_s288_287_type,type,
g_s288_287: set_4 ).
tff(g_s289_288_type,type,
g_s289_288: set_5 ).
tff(g_s28_28_type,type,
g_s28_28: $int ).
tff(g_s292_289_type,type,
g_s292_289: set_5 ).
tff(g_s293_290_type,type,
g_s293_290: set_5 ).
tff(g_s294_291_type,type,
g_s294_291: set_5 ).
tff(g_s295_292_type,type,
g_s295_292: set_5 ).
tff(g_s296_293_type,type,
g_s296_293: set_5 ).
tff(g_s297_294_type,type,
g_s297_294: set_6 ).
tff(g_s29_29_type,type,
g_s29_29: $int ).
tff(g_s2_2_type,type,
g_s2_2: $int ).
tff(g_s300_295_type,type,
g_s300_295: set_6 ).
tff(g_s301_296_type,type,
g_s301_296: set_6 ).
tff(g_s302_297_type,type,
g_s302_297: set_6 ).
tff(g_s303_298_type,type,
g_s303_298: set_6 ).
tff(g_s304_299_type,type,
g_s304_299: set_6 ).
tff(g_s305_300_type,type,
g_s305_300: set_6 ).
tff(g_s306_301_type,type,
g_s306_301: set_6 ).
tff(g_s307_302_type,type,
g_s307_302: set_6 ).
tff(g_s308_303_type,type,
g_s308_303: set_6 ).
tff(g_s309_304_type,type,
g_s309_304: set_6 ).
tff(g_s30_30_type,type,
g_s30_30: set_0 ).
tff(g_s310_305_type,type,
g_s310_305: set_6 ).
tff(g_s311_306_type,type,
g_s311_306: set_6 ).
tff(g_s312_307_type,type,
g_s312_307: set_6 ).
tff(g_s313_308_type,type,
g_s313_308: set_4 ).
tff(g_s314_309_type,type,
g_s314_309: set_4 ).
tff(g_s315_310_type,type,
g_s315_310: set_4 ).
tff(g_s316_311_type,type,
g_s316_311: set_4 ).
tff(g_s317_312_type,type,
g_s317_312: set_4 ).
tff(g_s318_313_type,type,
g_s318_313: set_6 ).
tff(g_s31_31_type,type,
g_s31_31: $int ).
tff(g_s321_314_type,type,
g_s321_314: set_6 ).
tff(g_s322_315_type,type,
g_s322_315: set_2 ).
tff(g_s324_316_type,type,
g_s324_316: set_2 ).
tff(g_s325_317_type,type,
g_s325_317: set_2 ).
tff(g_s327_318_type,type,
g_s327_318: set_4 ).
tff(g_s328_319_type,type,
g_s328_319: set_2 ).
tff(g_s329_320_type,type,
g_s329_320: set_0 ).
tff(g_s32_32_type,type,
g_s32_32: $int ).
tff(g_s330_321_type,type,
g_s330_321: set_2 ).
tff(g_s331_322_type,type,
g_s331_322: set_0 ).
tff(g_s332_323_type,type,
g_s332_323: set_2 ).
tff(g_s333_324_type,type,
g_s333_324: set_0 ).
tff(g_s334_325_type,type,
g_s334_325: set_2 ).
tff(g_s335_326_type,type,
g_s335_326: set_0 ).
tff(g_s336_327_type,type,
g_s336_327: set_2 ).
tff(g_s337_328_type,type,
g_s337_328: set_2 ).
tff(g_s338_329_type,type,
g_s338_329: set_2 ).
tff(g_s339_330_type,type,
g_s339_330: set_0 ).
tff(g_s33_33_type,type,
g_s33_33: $int ).
tff(g_s340_331_type,type,
g_s340_331: set_2 ).
tff(g_s341_332_type,type,
g_s341_332: set_2 ).
tff(g_s342_333_type,type,
g_s342_333: set_2 ).
tff(g_s343_334_type,type,
g_s343_334: set_2 ).
tff(g_s344_335_type,type,
g_s344_335: set_2 ).
tff(g_s345_336_type,type,
g_s345_336: set_2 ).
tff(g_s346_337_type,type,
g_s346_337: set_2 ).
tff(g_s347_338_type,type,
g_s347_338: $o ).
tff(g_s348_339_type,type,
g_s348_339: $o ).
tff(g_s349_340_type,type,
g_s349_340: $int ).
tff(g_s34_34_type,type,
g_s34_34: $int ).
tff(g_s350_341_type,type,
g_s350_341: $int ).
tff(g_s351_342_type,type,
g_s351_342: $int ).
tff(g_s352_343_type,type,
g_s352_343: $int ).
tff(g_s353_344_type,type,
g_s353_344: $int ).
tff(g_s354_345_type,type,
g_s354_345: $int ).
tff(g_s355_346_type,type,
g_s355_346: $int ).
tff(g_s356_347_type,type,
g_s356_347: $int ).
tff(g_s357_348_type,type,
g_s357_348: $int ).
tff(g_s358_349_type,type,
g_s358_349: $int ).
tff(g_s359_350_type,type,
g_s359_350: $int ).
tff(g_s35_35_type,type,
g_s35_35: $int ).
tff(g_s360_351_type,type,
g_s360_351: $int ).
tff(g_s361_352_type,type,
g_s361_352: $int ).
tff(g_s362_353_type,type,
g_s362_353: $int ).
tff(g_s363_354_type,type,
g_s363_354: $int ).
tff(g_s364_355_type,type,
g_s364_355: $int ).
tff(g_s365_356_type,type,
g_s365_356: $int ).
tff(g_s366_357_type,type,
g_s366_357: $int ).
tff(g_s367_358_type,type,
g_s367_358: $int ).
tff(g_s368_359_type,type,
g_s368_359: $int ).
tff(g_s369_360_type,type,
g_s369_360: $int ).
tff(g_s36_36_type,type,
g_s36_36: set_0 ).
tff(g_s370_361_type,type,
g_s370_361: $int ).
tff(g_s371_362_type,type,
g_s371_362: $int ).
tff(g_s372_363_type,type,
g_s372_363: $int ).
tff(g_s373_364_type,type,
g_s373_364: $int ).
tff(g_s374_365_type,type,
g_s374_365: $int ).
tff(g_s375_366_type,type,
g_s375_366: $int ).
tff(g_s376_367_type,type,
g_s376_367: $int ).
tff(g_s377_368_type,type,
g_s377_368: $int ).
tff(g_s378_369_type,type,
g_s378_369: $int ).
tff(g_s379_370_type,type,
g_s379_370: $int ).
tff(g_s37_37_type,type,
g_s37_37: $int ).
tff(g_s380_371_type,type,
g_s380_371: $int ).
tff(g_s381_372_type,type,
g_s381_372: $int ).
tff(g_s382_373_type,type,
g_s382_373: $int ).
tff(g_s383_374_type,type,
g_s383_374: $int ).
tff(g_s384_375_type,type,
g_s384_375: $int ).
tff(g_s385_376_type,type,
g_s385_376: $int ).
tff(g_s386_377_type,type,
g_s386_377: $int ).
tff(g_s387_378_type,type,
g_s387_378: $int ).
tff(g_s388_379_type,type,
g_s388_379: $int ).
tff(g_s389_380_type,type,
g_s389_380: $int ).
tff(g_s38_38_type,type,
g_s38_38: $int ).
tff(g_s390_381_type,type,
g_s390_381: $int ).
tff(g_s391_382_type,type,
g_s391_382: $int ).
tff(g_s392_383_type,type,
g_s392_383: $int ).
tff(g_s393_384_type,type,
g_s393_384: $int ).
tff(g_s394_385_type,type,
g_s394_385: $int ).
tff(g_s395_386_type,type,
g_s395_386: $int ).
tff(g_s396_387_type,type,
g_s396_387: $int ).
tff(g_s397_388_type,type,
g_s397_388: $int ).
tff(g_s398_389_type,type,
g_s398_389: $int ).
tff(g_s399_390_type,type,
g_s399_390: $int ).
tff(g_s39_39_type,type,
g_s39_39: $int ).
tff(g_s3_3_type,type,
g_s3_3: $int ).
tff(g_s400_391_type,type,
g_s400_391: $int ).
tff(g_s401_392_type,type,
g_s401_392: $int ).
tff(g_s402_393_type,type,
g_s402_393: $int ).
tff(g_s403_394_type,type,
g_s403_394: $int ).
tff(g_s404_395_type,type,
g_s404_395: $int ).
tff(g_s405_396_type,type,
g_s405_396: $int ).
tff(g_s406_397_type,type,
g_s406_397: $int ).
tff(g_s407_398_type,type,
g_s407_398: $int ).
tff(g_s408_399_type,type,
g_s408_399: $int ).
tff(g_s409_400_type,type,
g_s409_400: $int ).
tff(g_s40_40_type,type,
g_s40_40: set_0 ).
tff(g_s410_401_type,type,
g_s410_401: $int ).
tff(g_s411_402_type,type,
g_s411_402: $int ).
tff(g_s412_403_type,type,
g_s412_403: $int ).
tff(g_s413_404_type,type,
g_s413_404: $int ).
tff(g_s414_405_type,type,
g_s414_405: $int ).
tff(g_s415_406_type,type,
g_s415_406: $int ).
tff(g_s416_407_type,type,
g_s416_407: $int ).
tff(g_s417_408_type,type,
g_s417_408: $int ).
tff(g_s418_409_type,type,
g_s418_409: $int ).
tff(g_s419_410_type,type,
g_s419_410: $int ).
tff(g_s41_41_type,type,
g_s41_41: $int ).
tff(g_s420_411_type,type,
g_s420_411: $int ).
tff(g_s421_412_type,type,
g_s421_412: $int ).
tff(g_s422_413_type,type,
g_s422_413: $int ).
tff(g_s423_414_type,type,
g_s423_414: $int ).
tff(g_s424_415_type,type,
g_s424_415: $int ).
tff(g_s425_416_type,type,
g_s425_416: $int ).
tff(g_s426_417_type,type,
g_s426_417: $int ).
tff(g_s427_418_type,type,
g_s427_418: $int ).
tff(g_s428_419_type,type,
g_s428_419: $int ).
tff(g_s429_420_type,type,
g_s429_420: $int ).
tff(g_s42_42_type,type,
g_s42_42: $int ).
tff(g_s430_421_type,type,
g_s430_421: $int ).
tff(g_s431_422_type,type,
g_s431_422: $int ).
tff(g_s432_423_type,type,
g_s432_423: $int ).
tff(g_s433_424_type,type,
g_s433_424: $int ).
tff(g_s434_425_type,type,
g_s434_425: $int ).
tff(g_s435_426_type,type,
g_s435_426: $int ).
tff(g_s436_427_type,type,
g_s436_427: $int ).
tff(g_s437_428_type,type,
g_s437_428: $int ).
tff(g_s438_429_type,type,
g_s438_429: $int ).
tff(g_s439_430_type,type,
g_s439_430: $int ).
tff(g_s43_43_type,type,
g_s43_43: set_0 ).
tff(g_s440_431_type,type,
g_s440_431: $int ).
tff(g_s441_432_type,type,
g_s441_432: $int ).
tff(g_s442_433_type,type,
g_s442_433: $int ).
tff(g_s443_434_type,type,
g_s443_434: $int ).
tff(g_s444_435_type,type,
g_s444_435: $int ).
tff(g_s445_436_type,type,
g_s445_436: set_0 ).
tff(g_s446_437_type,type,
g_s446_437: set_0 ).
tff(g_s447_438_type,type,
g_s447_438: set_0 ).
tff(g_s448_439_type,type,
g_s448_439: set_0 ).
tff(g_s449_440_type,type,
g_s449_440: set_0 ).
tff(g_s44_44_type,type,
g_s44_44: $int ).
tff(g_s450_441_type,type,
g_s450_441: set_0 ).
tff(g_s451_442_type,type,
g_s451_442: set_0 ).
tff(g_s452_443_type,type,
g_s452_443: set_0 ).
tff(g_s453_444_type,type,
g_s453_444: set_0 ).
tff(g_s454_445_type,type,
g_s454_445: set_0 ).
tff(g_s455_446_type,type,
g_s455_446: set_0 ).
tff(g_s456_447_type,type,
g_s456_447: set_0 ).
tff(g_s457_448_type,type,
g_s457_448: set_0 ).
tff(g_s458_449_type,type,
g_s458_449: set_0 ).
tff(g_s459_450_type,type,
g_s459_450: set_0 ).
tff(g_s45_45_type,type,
g_s45_45: $int ).
tff(g_s460_451_type,type,
g_s460_451: set_0 ).
tff(g_s461_452_type,type,
g_s461_452: set_0 ).
tff(g_s462_453_type,type,
g_s462_453: set_0 ).
tff(g_s463_454_type,type,
g_s463_454: set_0 ).
tff(g_s464_455_type,type,
g_s464_455: set_0 ).
tff(g_s465_456_type,type,
g_s465_456: set_0 ).
tff(g_s466_457_type,type,
g_s466_457: set_0 ).
tff(g_s467_458_type,type,
g_s467_458: set_0 ).
tff(g_s468_459_type,type,
g_s468_459: set_0 ).
tff(g_s469_460_type,type,
g_s469_460: set_0 ).
tff(g_s46_46_type,type,
g_s46_46: $int ).
tff(g_s470_461_type,type,
g_s470_461: set_0 ).
tff(g_s471_462_type,type,
g_s471_462: $int ).
tff(g_s472_463_type,type,
g_s472_463: $int ).
tff(g_s473_464_type,type,
g_s473_464: set_0 ).
tff(g_s474_465_type,type,
g_s474_465: set_0 ).
tff(g_s475_466_type,type,
g_s475_466: $int ).
tff(g_s476_467_type,type,
g_s476_467: set_0 ).
tff(g_s477_468_type,type,
g_s477_468: set_0 ).
tff(g_s478_469_type,type,
g_s478_469: set_0 ).
tff(g_s479_470_type,type,
g_s479_470: set_0 ).
tff(g_s47_47_type,type,
g_s47_47: set_0 ).
tff(g_s480_471_type,type,
g_s480_471: $int ).
tff(g_s481_472_type,type,
g_s481_472: set_0 ).
tff(g_s482_473_type,type,
g_s482_473: set_0 ).
tff(g_s483_474_type,type,
g_s483_474: set_0 ).
tff(g_s484_475_type,type,
g_s484_475: set_3 ).
tff(g_s485_476_type,type,
g_s485_476: set_3 ).
tff(g_s486_477_type,type,
g_s486_477: set_0 ).
tff(g_s487_478_type,type,
g_s487_478: $int ).
tff(g_s488_479_type,type,
g_s488_479: $int ).
tff(g_s489_480_type,type,
g_s489_480: $int ).
tff(g_s48_48_type,type,
g_s48_48: $int ).
tff(g_s490_481_type,type,
g_s490_481: $int ).
tff(g_s491_482_type,type,
g_s491_482: $int ).
tff(g_s492_483_type,type,
g_s492_483: $int ).
tff(g_s493_484_type,type,
g_s493_484: $int ).
tff(g_s494_485_type,type,
g_s494_485: $int ).
tff(g_s495_486_type,type,
g_s495_486: $int ).
tff(g_s496_487_type,type,
g_s496_487: $int ).
tff(g_s497_488_type,type,
g_s497_488: $int ).
tff(g_s498_489_type,type,
g_s498_489: $int ).
tff(g_s499_490_type,type,
g_s499_490: $int ).
tff(g_s49_49_type,type,
g_s49_49: $int ).
tff(g_s4_4_type,type,
g_s4_4: set_0 ).
tff(g_s500_491_type,type,
g_s500_491: $int ).
tff(g_s501_492_type,type,
g_s501_492: $int ).
tff(g_s502_493_type,type,
g_s502_493: $int ).
tff(g_s503_494_type,type,
g_s503_494: $int ).
tff(g_s504_495_type,type,
g_s504_495: $int ).
tff(g_s505_496_type,type,
g_s505_496: $int ).
tff(g_s506_497_type,type,
g_s506_497: $int ).
tff(g_s507_498_type,type,
g_s507_498: $int ).
tff(g_s508_499_type,type,
g_s508_499: $int ).
tff(g_s509_500_type,type,
g_s509_500: $int ).
tff(g_s50_50_type,type,
g_s50_50: $int ).
tff(g_s510_501_type,type,
g_s510_501: $int ).
tff(g_s511_502_type,type,
g_s511_502: $int ).
tff(g_s512_503_type,type,
g_s512_503: $int ).
tff(g_s513_504_type,type,
g_s513_504: $int ).
tff(g_s514_505_type,type,
g_s514_505: $int ).
tff(g_s515_506_type,type,
g_s515_506: $int ).
tff(g_s516_507_type,type,
g_s516_507: $int ).
tff(g_s517_508_type,type,
g_s517_508: $int ).
tff(g_s518_509_type,type,
g_s518_509: $int ).
tff(g_s519_510_type,type,
g_s519_510: $int ).
tff(g_s51_51_type,type,
g_s51_51: set_0 ).
tff(g_s520_511_type,type,
g_s520_511: $int ).
tff(g_s521_512_type,type,
g_s521_512: $int ).
tff(g_s522_513_type,type,
g_s522_513: $int ).
tff(g_s523_514_type,type,
g_s523_514: $int ).
tff(g_s524_515_type,type,
g_s524_515: $int ).
tff(g_s525_516_type,type,
g_s525_516: set_0 ).
tff(g_s526_517_type,type,
g_s526_517: $int ).
tff(g_s527_518_type,type,
g_s527_518: $int ).
tff(g_s528_519_type,type,
g_s528_519: $int ).
tff(g_s529_520_type,type,
g_s529_520: $int ).
tff(g_s52_52_type,type,
g_s52_52: $int ).
tff(g_s530_521_type,type,
g_s530_521: $int ).
tff(g_s531_522_type,type,
g_s531_522: $int ).
tff(g_s532_523_type,type,
g_s532_523: $int ).
tff(g_s533_524_type,type,
g_s533_524: $int ).
tff(g_s534_525_type,type,
g_s534_525: $int ).
tff(g_s535_526_type,type,
g_s535_526: $int ).
tff(g_s536_527_type,type,
g_s536_527: $int ).
tff(g_s537_528_type,type,
g_s537_528: $int ).
tff(g_s538_529_type,type,
g_s538_529: $int ).
tff(g_s539_530_type,type,
g_s539_530: $int ).
tff(g_s53_53_type,type,
g_s53_53: $int ).
tff(g_s540_531_type,type,
g_s540_531: $int ).
tff(g_s541_532_type,type,
g_s541_532: $int ).
tff(g_s542_533_type,type,
g_s542_533: $int ).
tff(g_s543_534_type,type,
g_s543_534: $int ).
tff(g_s544_535_type,type,
g_s544_535: $int ).
tff(g_s545_536_type,type,
g_s545_536: $int ).
tff(g_s546_537_type,type,
g_s546_537: $int ).
tff(g_s547_538_type,type,
g_s547_538: $int ).
tff(g_s548_539_type,type,
g_s548_539: $int ).
tff(g_s549_540_type,type,
g_s549_540: $int ).
tff(g_s54_54_type,type,
g_s54_54: $int ).
tff(g_s550_541_type,type,
g_s550_541: $int ).
tff(g_s551_542_type,type,
g_s551_542: $int ).
tff(g_s552_543_type,type,
g_s552_543: $int ).
tff(g_s553_544_type,type,
g_s553_544: $int ).
tff(g_s554_545_type,type,
g_s554_545: $int ).
tff(g_s555_546_type,type,
g_s555_546: $int ).
tff(g_s556_547_type,type,
g_s556_547: $int ).
tff(g_s557_548_type,type,
g_s557_548: $int ).
tff(g_s558_549_type,type,
g_s558_549: $int ).
tff(g_s559_550_type,type,
g_s559_550: $int ).
tff(g_s55_55_type,type,
g_s55_55: set_0 ).
tff(g_s560_551_type,type,
g_s560_551: $int ).
tff(g_s561_552_type,type,
g_s561_552: $int ).
tff(g_s562_553_type,type,
g_s562_553: $int ).
tff(g_s563_554_type,type,
g_s563_554: $int ).
tff(g_s564_555_type,type,
g_s564_555: $int ).
tff(g_s565_556_type,type,
g_s565_556: $int ).
tff(g_s566_557_type,type,
g_s566_557: $int ).
tff(g_s567_558_type,type,
g_s567_558: $int ).
tff(g_s568_559_type,type,
g_s568_559: $int ).
tff(g_s569_560_type,type,
g_s569_560: $int ).
tff(g_s56_56_type,type,
g_s56_56: $int ).
tff(g_s570_561_type,type,
g_s570_561: $int ).
tff(g_s571_562_type,type,
g_s571_562: $int ).
tff(g_s572_563_type,type,
g_s572_563: $int ).
tff(g_s573_564_type,type,
g_s573_564: $int ).
tff(g_s574_565_type,type,
g_s574_565: $int ).
tff(g_s575_566_type,type,
g_s575_566: $int ).
tff(g_s576_567_type,type,
g_s576_567: $int ).
tff(g_s577_568_type,type,
g_s577_568: $int ).
tff(g_s578_569_type,type,
g_s578_569: $int ).
tff(g_s579_570_type,type,
g_s579_570: $int ).
tff(g_s57_57_type,type,
g_s57_57: $int ).
tff(g_s580_571_type,type,
g_s580_571: $int ).
tff(g_s581_572_type,type,
g_s581_572: $int ).
tff(g_s582_573_type,type,
g_s582_573: $int ).
tff(g_s583_574_type,type,
g_s583_574: $int ).
tff(g_s584_575_type,type,
g_s584_575: $int ).
tff(g_s585_576_type,type,
g_s585_576: $int ).
tff(g_s586_577_type,type,
g_s586_577: $int ).
tff(g_s587_578_type,type,
g_s587_578: $int ).
tff(g_s588_579_type,type,
g_s588_579: $int ).
tff(g_s589_580_type,type,
g_s589_580: $int ).
tff(g_s58_58_type,type,
g_s58_58: $int ).
tff(g_s590_581_type,type,
g_s590_581: $int ).
tff(g_s591_582_type,type,
g_s591_582: $int ).
tff(g_s592_583_type,type,
g_s592_583: $int ).
tff(g_s593_584_type,type,
g_s593_584: $int ).
tff(g_s594_585_type,type,
g_s594_585: $int ).
tff(g_s595_586_type,type,
g_s595_586: $int ).
tff(g_s596_587_type,type,
g_s596_587: $int ).
tff(g_s597_588_type,type,
g_s597_588: $int ).
tff(g_s598_589_type,type,
g_s598_589: $int ).
tff(g_s599_590_type,type,
g_s599_590: $int ).
tff(g_s59_59_type,type,
g_s59_59: $int ).
tff(g_s5_5_type,type,
g_s5_5: $int ).
tff(g_s600_591_type,type,
g_s600_591: $int ).
tff(g_s601_592_type,type,
g_s601_592: $int ).
tff(g_s602_593_type,type,
g_s602_593: $int ).
tff(g_s603_594_type,type,
g_s603_594: $int ).
tff(g_s604_595_type,type,
g_s604_595: $int ).
tff(g_s605_596_type,type,
g_s605_596: $int ).
tff(g_s606_597_type,type,
g_s606_597: $int ).
tff(g_s607_598_type,type,
g_s607_598: $int ).
tff(g_s608_599_type,type,
g_s608_599: $int ).
tff(g_s609_600_type,type,
g_s609_600: $int ).
tff(g_s60_60_type,type,
g_s60_60: set_0 ).
tff(g_s610_601_type,type,
g_s610_601: $int ).
tff(g_s611_602_type,type,
g_s611_602: $int ).
tff(g_s612_603_type,type,
g_s612_603: $int ).
tff(g_s613_604_type,type,
g_s613_604: $int ).
tff(g_s614_605_type,type,
g_s614_605: $int ).
tff(g_s615_606_type,type,
g_s615_606: $int ).
tff(g_s616_607_type,type,
g_s616_607: $int ).
tff(g_s617_608_type,type,
g_s617_608: $int ).
tff(g_s618_609_type,type,
g_s618_609: $int ).
tff(g_s619_610_type,type,
g_s619_610: $int ).
tff(g_s61_61_type,type,
g_s61_61: $int ).
tff(g_s620_611_type,type,
g_s620_611: $int ).
tff(g_s621_612_type,type,
g_s621_612: $int ).
tff(g_s622_613_type,type,
g_s622_613: $int ).
tff(g_s623_614_type,type,
g_s623_614: $int ).
tff(g_s624_615_type,type,
g_s624_615: $int ).
tff(g_s625_616_type,type,
g_s625_616: $int ).
tff(g_s626_617_type,type,
g_s626_617: $int ).
tff(g_s627_618_type,type,
g_s627_618: $int ).
tff(g_s628_619_type,type,
g_s628_619: $int ).
tff(g_s629_620_type,type,
g_s629_620: $int ).
tff(g_s62_62_type,type,
g_s62_62: $int ).
tff(g_s630_621_type,type,
g_s630_621: $int ).
tff(g_s631_622_type,type,
g_s631_622: $int ).
tff(g_s632_623_type,type,
g_s632_623: $int ).
tff(g_s633_624_type,type,
g_s633_624: $int ).
tff(g_s634_625_type,type,
g_s634_625: $int ).
tff(g_s635_626_type,type,
g_s635_626: $int ).
tff(g_s636_627_type,type,
g_s636_627: $int ).
tff(g_s637_628_type,type,
g_s637_628: $int ).
tff(g_s638_629_type,type,
g_s638_629: $int ).
tff(g_s639_630_type,type,
g_s639_630: $int ).
tff(g_s63_63_type,type,
g_s63_63: $int ).
tff(g_s640_631_type,type,
g_s640_631: $int ).
tff(g_s641_632_type,type,
g_s641_632: $int ).
tff(g_s642_633_type,type,
g_s642_633: $int ).
tff(g_s643_634_type,type,
g_s643_634: $int ).
tff(g_s644_635_type,type,
g_s644_635: $int ).
tff(g_s645_636_type,type,
g_s645_636: $int ).
tff(g_s646_637_type,type,
g_s646_637: $int ).
tff(g_s647_638_type,type,
g_s647_638: $int ).
tff(g_s648_639_type,type,
g_s648_639: $int ).
tff(g_s649_640_type,type,
g_s649_640: set_0 ).
tff(g_s64_64_type,type,
g_s64_64: $int ).
tff(g_s650_641_type,type,
g_s650_641: set_0 ).
tff(g_s651_642_type,type,
g_s651_642: set_0 ).
tff(g_s652_643_type,type,
g_s652_643: set_0 ).
tff(g_s653_644_type,type,
g_s653_644: set_0 ).
tff(g_s654_645_type,type,
g_s654_645: set_0 ).
tff(g_s655_646_type,type,
g_s655_646: set_0 ).
tff(g_s656_647_type,type,
g_s656_647: set_0 ).
tff(g_s657_648_type,type,
g_s657_648: $int ).
tff(g_s658_649_type,type,
g_s658_649: set_0 ).
tff(g_s659_650_type,type,
g_s659_650: set_0 ).
tff(g_s65_65_type,type,
g_s65_65: $int ).
tff(g_s660_651_type,type,
g_s660_651: set_0 ).
tff(g_s661_652_type,type,
g_s661_652: set_0 ).
tff(g_s662_653_type,type,
g_s662_653: set_0 ).
tff(g_s663_654_type,type,
g_s663_654: set_0 ).
tff(g_s664_655_type,type,
g_s664_655: set_0 ).
tff(g_s665_656_type,type,
g_s665_656: set_0 ).
tff(g_s666_657_type,type,
g_s666_657: set_0 ).
tff(g_s667_658_type,type,
g_s667_658: set_0 ).
tff(g_s668_659_type,type,
g_s668_659: set_0 ).
tff(g_s669_660_type,type,
g_s669_660: set_0 ).
tff(g_s66_66_type,type,
g_s66_66: $int ).
tff(g_s670_661_type,type,
g_s670_661: set_0 ).
tff(g_s671_662_type,type,
g_s671_662: set_0 ).
tff(g_s672_663_type,type,
g_s672_663: set_0 ).
tff(g_s673_664_type,type,
g_s673_664: set_0 ).
tff(g_s674_665_type,type,
g_s674_665: set_0 ).
tff(g_s675_666_type,type,
g_s675_666: set_0 ).
tff(g_s676_667_type,type,
g_s676_667: set_0 ).
tff(g_s677_668_type,type,
g_s677_668: set_0 ).
tff(g_s678_669_type,type,
g_s678_669: set_0 ).
tff(g_s679_670_type,type,
g_s679_670: set_0 ).
tff(g_s67_67_type,type,
g_s67_67: $int ).
tff(g_s680_671_type,type,
g_s680_671: set_0 ).
tff(g_s681_672_type,type,
g_s681_672: set_0 ).
tff(g_s682_673_type,type,
g_s682_673: set_0 ).
tff(g_s683_674_type,type,
g_s683_674: set_0 ).
tff(g_s684_675_type,type,
g_s684_675: set_0 ).
tff(g_s685_676_type,type,
g_s685_676: set_0 ).
tff(g_s686_677_type,type,
g_s686_677: set_0 ).
tff(g_s687_678_type,type,
g_s687_678: set_0 ).
tff(g_s688_679_type,type,
g_s688_679: set_0 ).
tff(g_s689_680_type,type,
g_s689_680: set_0 ).
tff(g_s68_68_type,type,
g_s68_68: $int ).
tff(g_s690_681_type,type,
g_s690_681: set_0 ).
tff(g_s691_682_type,type,
g_s691_682: set_0 ).
tff(g_s692_683_type,type,
g_s692_683: set_0 ).
tff(g_s693_684_type,type,
g_s693_684: set_0 ).
tff(g_s694_685_type,type,
g_s694_685: set_0 ).
tff(g_s695_686_type,type,
g_s695_686: set_0 ).
tff(g_s696_687_type,type,
g_s696_687: set_0 ).
tff(g_s697_688_type,type,
g_s697_688: set_0 ).
tff(g_s698_689_type,type,
g_s698_689: set_0 ).
tff(g_s699_690_type,type,
g_s699_690: set_0 ).
tff(g_s69_69_type,type,
g_s69_69: $int ).
tff(g_s6_6_type,type,
g_s6_6: $int ).
tff(g_s700_691_type,type,
g_s700_691: set_0 ).
tff(g_s701_692_type,type,
g_s701_692: set_0 ).
tff(g_s702_693_type,type,
g_s702_693: $int ).
tff(g_s703_694_type,type,
g_s703_694: $int ).
tff(g_s704_695_type,type,
g_s704_695: $int ).
tff(g_s705_696_type,type,
g_s705_696: $int ).
tff(g_s706_697_type,type,
g_s706_697: $int ).
tff(g_s707_698_type,type,
g_s707_698: $int ).
tff(g_s708_699_type,type,
g_s708_699: $int ).
tff(g_s709_700_type,type,
g_s709_700: $int ).
tff(g_s70_70_type,type,
g_s70_70: $int ).
tff(g_s710_701_type,type,
g_s710_701: $int ).
tff(g_s711_702_type,type,
g_s711_702: $int ).
tff(g_s712_703_type,type,
g_s712_703: $int ).
tff(g_s713_704_type,type,
g_s713_704: $int ).
tff(g_s714_705_type,type,
g_s714_705: $int ).
tff(g_s715_706_type,type,
g_s715_706: $int ).
tff(g_s716_707_type,type,
g_s716_707: $int ).
tff(g_s717_708_type,type,
g_s717_708: $int ).
tff(g_s718_709_type,type,
g_s718_709: $int ).
tff(g_s719_710_type,type,
g_s719_710: $int ).
tff(g_s71_71_type,type,
g_s71_71: $int ).
tff(g_s720_711_type,type,
g_s720_711: $int ).
tff(g_s721_712_type,type,
g_s721_712: $int ).
tff(g_s722_713_type,type,
g_s722_713: $int ).
tff(g_s723_714_type,type,
g_s723_714: $int ).
tff(g_s724_715_type,type,
g_s724_715: $int ).
tff(g_s725_716_type,type,
g_s725_716: $int ).
tff(g_s726_717_type,type,
g_s726_717: $int ).
tff(g_s727_718_type,type,
g_s727_718: $int ).
tff(g_s728_719_type,type,
g_s728_719: $int ).
tff(g_s729_720_type,type,
g_s729_720: $int ).
tff(g_s72_72_type,type,
g_s72_72: $int ).
tff(g_s730_721_type,type,
g_s730_721: $int ).
tff(g_s731_722_type,type,
g_s731_722: $int ).
tff(g_s732_723_type,type,
g_s732_723: $int ).
tff(g_s733_724_type,type,
g_s733_724: $int ).
tff(g_s734_725_type,type,
g_s734_725: $int ).
tff(g_s735_726_type,type,
g_s735_726: $int ).
tff(g_s736_727_type,type,
g_s736_727: $int ).
tff(g_s737_728_type,type,
g_s737_728: $int ).
tff(g_s738_729_type,type,
g_s738_729: $int ).
tff(g_s739_730_type,type,
g_s739_730: $int ).
tff(g_s73_73_type,type,
g_s73_73: $int ).
tff(g_s740_731_type,type,
g_s740_731: $int ).
tff(g_s741_732_type,type,
g_s741_732: $int ).
tff(g_s742_733_type,type,
g_s742_733: $int ).
tff(g_s743_734_type,type,
g_s743_734: $int ).
tff(g_s744_735_type,type,
g_s744_735: $int ).
tff(g_s745_736_type,type,
g_s745_736: $int ).
tff(g_s746_737_type,type,
g_s746_737: $int ).
tff(g_s747_738_type,type,
g_s747_738: $int ).
tff(g_s748_739_type,type,
g_s748_739: $int ).
tff(g_s749_740_type,type,
g_s749_740: set_0 ).
tff(g_s74_74_type,type,
g_s74_74: $int ).
tff(g_s750_741_type,type,
g_s750_741: $int ).
tff(g_s751_742_type,type,
g_s751_742: set_0 ).
tff(g_s752_743_type,type,
g_s752_743: $int ).
tff(g_s753_744_type,type,
g_s753_744: $int ).
tff(g_s754_745_type,type,
g_s754_745: set_0 ).
tff(g_s755_746_type,type,
g_s755_746: $int ).
tff(g_s756_747_type,type,
g_s756_747: set_0 ).
tff(g_s757_748_type,type,
g_s757_748: $int ).
tff(g_s758_749_type,type,
g_s758_749: $int ).
tff(g_s759_750_type,type,
g_s759_750: $int ).
tff(g_s75_75_type,type,
g_s75_75: $int ).
tff(g_s760_751_type,type,
g_s760_751: set_0 ).
tff(g_s761_752_type,type,
g_s761_752: set_0 ).
tff(g_s762_753_type,type,
g_s762_753: set_0 ).
tff(g_s763_754_type,type,
g_s763_754: $int ).
tff(g_s764_755_type,type,
g_s764_755: set_0 ).
tff(g_s765_756_type,type,
g_s765_756: set_0 ).
tff(g_s766_757_type,type,
g_s766_757: $int ).
tff(g_s767_758_type,type,
g_s767_758: $int ).
tff(g_s768_759_type,type,
g_s768_759: set_0 ).
tff(g_s769_760_type,type,
g_s769_760: set_0 ).
tff(g_s76_76_type,type,
g_s76_76: set_0 ).
tff(g_s770_761_type,type,
g_s770_761: $int ).
tff(g_s771_762_type,type,
g_s771_762: set_0 ).
tff(g_s772_763_type,type,
g_s772_763: set_0 ).
tff(g_s773_764_type,type,
g_s773_764: set_0 ).
tff(g_s774_765_type,type,
g_s774_765: set_0 ).
tff(g_s775_766_type,type,
g_s775_766: set_0 ).
tff(g_s776_767_type,type,
g_s776_767: $int ).
tff(g_s777_768_type,type,
g_s777_768: set_0 ).
tff(g_s778_769_type,type,
g_s778_769: $int ).
tff(g_s779_770_type,type,
g_s779_770: set_0 ).
tff(g_s77_77_type,type,
g_s77_77: $int ).
tff(g_s780_771_type,type,
g_s780_771: $int ).
tff(g_s781_772_type,type,
g_s781_772: set_0 ).
tff(g_s782_773_type,type,
g_s782_773: $int ).
tff(g_s783_774_type,type,
g_s783_774: set_0 ).
tff(g_s784_775_type,type,
g_s784_775: set_0 ).
tff(g_s785_776_type,type,
g_s785_776: set_0 ).
tff(g_s786_777_type,type,
g_s786_777: $int ).
tff(g_s787_778_type,type,
g_s787_778: $int ).
tff(g_s788_779_type,type,
g_s788_779: $int ).
tff(g_s789_780_type,type,
g_s789_780: $int ).
tff(g_s78_78_type,type,
g_s78_78: $int ).
tff(g_s790_781_type,type,
g_s790_781: $int ).
tff(g_s791_782_type,type,
g_s791_782: $int ).
tff(g_s792_783_type,type,
g_s792_783: $int ).
tff(g_s793_784_type,type,
g_s793_784: $int ).
tff(g_s794_785_type,type,
g_s794_785: $int ).
tff(g_s795_786_type,type,
g_s795_786: $int ).
tff(g_s796_787_type,type,
g_s796_787: $int ).
tff(g_s797_788_type,type,
g_s797_788: $int ).
tff(g_s798_789_type,type,
g_s798_789: $int ).
tff(g_s799_790_type,type,
g_s799_790: $int ).
tff(g_s79_79_type,type,
g_s79_79: $int ).
tff(g_s7_7_type,type,
g_s7_7: $int ).
tff(g_s800_791_type,type,
g_s800_791: $int ).
tff(g_s801_792_type,type,
g_s801_792: $int ).
tff(g_s802_793_type,type,
g_s802_793: $int ).
tff(g_s803_794_type,type,
g_s803_794: $int ).
tff(g_s804_795_type,type,
g_s804_795: $int ).
tff(g_s805_796_type,type,
g_s805_796: $int ).
tff(g_s806_797_type,type,
g_s806_797: $int ).
tff(g_s807_798_type,type,
g_s807_798: $int ).
tff(g_s808_799_type,type,
g_s808_799: $int ).
tff(g_s809_800_type,type,
g_s809_800: $int ).
tff(g_s80_80_type,type,
g_s80_80: $int ).
tff(g_s810_801_type,type,
g_s810_801: $int ).
tff(g_s811_802_type,type,
g_s811_802: $int ).
tff(g_s812_803_type,type,
g_s812_803: $int ).
tff(g_s813_804_type,type,
g_s813_804: $int ).
tff(g_s814_805_type,type,
g_s814_805: $int ).
tff(g_s815_806_type,type,
g_s815_806: $int ).
tff(g_s816_807_type,type,
g_s816_807: $int ).
tff(g_s817_808_type,type,
g_s817_808: $int ).
tff(g_s818_809_type,type,
g_s818_809: $int ).
tff(g_s819_810_type,type,
g_s819_810: $int ).
tff(g_s81_81_type,type,
g_s81_81: $int ).
tff(g_s820_811_type,type,
g_s820_811: $int ).
tff(g_s821_812_type,type,
g_s821_812: $int ).
tff(g_s822_813_type,type,
g_s822_813: $int ).
tff(g_s823_814_type,type,
g_s823_814: $int ).
tff(g_s824_815_type,type,
g_s824_815: $int ).
tff(g_s825_816_type,type,
g_s825_816: $int ).
tff(g_s826_817_type,type,
g_s826_817: $int ).
tff(g_s827_818_type,type,
g_s827_818: $int ).
tff(g_s828_819_type,type,
g_s828_819: $int ).
tff(g_s829_820_type,type,
g_s829_820: $int ).
tff(g_s82_82_type,type,
g_s82_82: $int ).
tff(g_s830_821_type,type,
g_s830_821: $int ).
tff(g_s831_822_type,type,
g_s831_822: $int ).
tff(g_s832_823_type,type,
g_s832_823: $int ).
tff(g_s833_824_type,type,
g_s833_824: $int ).
tff(g_s834_825_type,type,
g_s834_825: $int ).
tff(g_s835_826_type,type,
g_s835_826: $int ).
tff(g_s836_827_type,type,
g_s836_827: $int ).
tff(g_s837_828_type,type,
g_s837_828: $int ).
tff(g_s838_829_type,type,
g_s838_829: $int ).
tff(g_s839_830_type,type,
g_s839_830: $int ).
tff(g_s83_83_type,type,
g_s83_83: $int ).
tff(g_s840_831_type,type,
g_s840_831: $int ).
tff(g_s841_832_type,type,
g_s841_832: $int ).
tff(g_s842_833_type,type,
g_s842_833: $int ).
tff(g_s843_834_type,type,
g_s843_834: $int ).
tff(g_s844_835_type,type,
g_s844_835: $int ).
tff(g_s845_836_type,type,
g_s845_836: $int ).
tff(g_s846_837_type,type,
g_s846_837: $int ).
tff(g_s847_838_type,type,
g_s847_838: $int ).
tff(g_s848_839_type,type,
g_s848_839: $int ).
tff(g_s849_840_type,type,
g_s849_840: $int ).
tff(g_s84_84_type,type,
g_s84_84: $int ).
tff(g_s850_841_type,type,
g_s850_841: $int ).
tff(g_s851_842_type,type,
g_s851_842: $int ).
tff(g_s852_843_type,type,
g_s852_843: $int ).
tff(g_s853_844_type,type,
g_s853_844: $int ).
tff(g_s854_845_type,type,
g_s854_845: $int ).
tff(g_s855_846_type,type,
g_s855_846: $int ).
tff(g_s856_847_type,type,
g_s856_847: $int ).
tff(g_s857_848_type,type,
g_s857_848: $int ).
tff(g_s858_849_type,type,
g_s858_849: $int ).
tff(g_s859_850_type,type,
g_s859_850: $int ).
tff(g_s85_85_type,type,
g_s85_85: $int ).
tff(g_s860_851_type,type,
g_s860_851: $int ).
tff(g_s861_852_type,type,
g_s861_852: $int ).
tff(g_s862_853_type,type,
g_s862_853: $int ).
tff(g_s863_854_type,type,
g_s863_854: $int ).
tff(g_s864_855_type,type,
g_s864_855: $int ).
tff(g_s865_856_type,type,
g_s865_856: $int ).
tff(g_s866_857_type,type,
g_s866_857: $int ).
tff(g_s867_858_type,type,
g_s867_858: $int ).
tff(g_s868_859_type,type,
g_s868_859: $int ).
tff(g_s869_860_type,type,
g_s869_860: $int ).
tff(g_s86_86_type,type,
g_s86_86: $int ).
tff(g_s870_861_type,type,
g_s870_861: $int ).
tff(g_s871_862_type,type,
g_s871_862: $int ).
tff(g_s872_863_type,type,
g_s872_863: $int ).
tff(g_s873_864_type,type,
g_s873_864: $int ).
tff(g_s874_865_type,type,
g_s874_865: $int ).
tff(g_s875_866_type,type,
g_s875_866: $int ).
tff(g_s876_867_type,type,
g_s876_867: $int ).
tff(g_s877_868_type,type,
g_s877_868: $int ).
tff(g_s878_869_type,type,
g_s878_869: set_0 ).
tff(g_s879_870_type,type,
g_s879_870: set_0 ).
tff(g_s87_87_type,type,
g_s87_87: $int ).
tff(g_s880_871_type,type,
g_s880_871: set_0 ).
tff(g_s881_872_type,type,
g_s881_872: set_0 ).
tff(g_s882_873_type,type,
g_s882_873: $int ).
tff(g_s883_874_type,type,
g_s883_874: $int ).
tff(g_s884_875_type,type,
g_s884_875: $int ).
tff(g_s885_876_type,type,
g_s885_876: set_2 ).
tff(g_s886_877_type,type,
g_s886_877: set_7 ).
tff(g_s887_878_type,type,
g_s887_878: set_7 ).
tff(g_s888_879_type,type,
g_s888_879: set_7 ).
tff(g_s889_880_type,type,
g_s889_880: set_7 ).
tff(g_s88_88_type,type,
g_s88_88: $int ).
tff(g_s890_881_type,type,
g_s890_881: set_2 ).
tff(g_s891_882_type,type,
g_s891_882: set_2 ).
tff(g_s892_883_type,type,
g_s892_883: set_2 ).
tff(g_s893_884_type,type,
g_s893_884: set_2 ).
tff(g_s894_885_type,type,
g_s894_885: set_2 ).
tff(g_s895_886_type,type,
g_s895_886: set_2 ).
tff(g_s896_887_type,type,
g_s896_887: set_2 ).
tff(g_s897_888_type,type,
g_s897_888: set_2 ).
tff(g_s898_889_type,type,
g_s898_889: set_2 ).
tff(g_s899_890_type,type,
g_s899_890: set_2 ).
tff(g_s89_89_type,type,
g_s89_89: $int ).
tff(g_s8_8_type,type,
g_s8_8: set_0 ).
tff(g_s900_891_type,type,
g_s900_891: set_2 ).
tff(g_s901_892_type,type,
g_s901_892: set_2 ).
tff(g_s902_893_type,type,
g_s902_893: set_2 ).
tff(g_s903_894_type,type,
g_s903_894: set_2 ).
tff(g_s904_895_type,type,
g_s904_895: set_2 ).
tff(g_s905_896_type,type,
g_s905_896: set_2 ).
tff(g_s906_897_type,type,
g_s906_897: set_2 ).
tff(g_s907_898_type,type,
g_s907_898: set_2 ).
tff(g_s908_899_type,type,
g_s908_899: set_2 ).
tff(g_s909_900_type,type,
g_s909_900: set_2 ).
tff(g_s90_90_type,type,
g_s90_90: $int ).
tff(g_s910_901_type,type,
g_s910_901: set_2 ).
tff(g_s911_902_type,type,
g_s911_902: set_2 ).
tff(g_s912_903_type,type,
g_s912_903: set_2 ).
tff(g_s913_904_type,type,
g_s913_904: set_2 ).
tff(g_s914_905_type,type,
g_s914_905: set_2 ).
tff(g_s915_906_type,type,
g_s915_906: set_2 ).
tff(g_s916_907_type,type,
g_s916_907: set_2 ).
tff(g_s917_908_type,type,
g_s917_908: set_8 ).
tff(g_s918_909_type,type,
g_s918_909: set_8 ).
tff(g_s919_910_type,type,
g_s919_910: set_9 ).
tff(g_s91_91_type,type,
g_s91_91: $int ).
tff(g_s920_911_type,type,
g_s920_911: set_9 ).
tff(g_s921_912_type,type,
g_s921_912: set_9 ).
tff(g_s92_92_type,type,
g_s92_92: $int ).
tff(g_s931_923_type,type,
g_s931_923: $int ).
tff(g_s933_913_type,type,
g_s933_913: set_7 ).
tff(g_s934_914_type,type,
g_s934_914: set_2 ).
tff(g_s935_915_type,type,
g_s935_915: set_10 ).
tff(g_s936_916_type,type,
g_s936_916: set_10 ).
tff(g_s937_917_type,type,
g_s937_917: set_11 ).
tff(g_s938_918_type,type,
g_s938_918: set_11 ).
tff(g_s939_919_type,type,
g_s939_919: set_7 ).
tff(g_s93_93_type,type,
g_s93_93: $int ).
tff(g_s940_920_type,type,
g_s940_920: set_7 ).
tff(g_s941_921_type,type,
g_s941_921: set_12 ).
tff(g_s942_922_type,type,
g_s942_922: set_7 ).
tff(g_s943_925_type,type,
g_s943_925: $int ).
tff(g_s945_924_type,type,
g_s945_924: $int ).
tff(g_s94_94_type,type,
g_s94_94: $int ).
tff(g_s95_95_type,type,
g_s95_95: $int ).
tff(g_s96_96_type,type,
g_s96_96: $int ).
tff(g_s97_97_type,type,
g_s97_97: $int ).
tff(g_s98_98_type,type,
g_s98_98: $int ).
tff(g_s99_99_type,type,
g_s99_99: $int ).
tff(g_s9_9_type,type,
g_s9_9: $int ).
tff(mem10_type,type,
mem10: ( $int * $int * $int * $int * $int * set_10 ) > $o ).
tff(mem11_type,type,
mem11: ( $int * set_0 * set_11 ) > $o ).
tff(mem12_type,type,
mem12: ( $int * $int * $int * set_0 * set_12 ) > $o ).
tff(mem2_type,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(mem3_type,type,
mem3: ( $o * set_3 ) > $o ).
tff(mem4_type,type,
mem4: ( $o * $o * set_4 ) > $o ).
tff(mem5_type,type,
mem5: ( $o * $o * $o * set_5 ) > $o ).
tff(mem6_type,type,
mem6: ( $int * $int * $o * set_6 ) > $o ).
tff(mem7_type,type,
mem7: ( $int * $int * $int * set_7 ) > $o ).
tff(mem8_type,type,
mem8: ( $int * $int * set_2 * set_8 ) > $o ).
tff(mem9_type,type,
mem9: ( $int * set_2 * set_9 ) > $o ).
tff(prod_0_type,type,
prod_0: $tType ).
tff(prod_0_empty,type,
prod_0_empty: prod_0 ).
tff(prod_0_insert,type,
prod_0: ( $int * $int ) > prod_0 ).
tff(prod_0_in,type,
prod_0_in: ( $int * $int * prod_0 ) > $o ).
tff(prod_1_type,type,
prod_1: $tType ).
tff(prod_1_empty,type,
prod_1_empty: prod_1 ).
tff(prod_1_insert,type,
prod_1: ( $o * $o ) > prod_1 ).
tff(prod_1_in,type,
prod_1_in: ( $o * $o * prod_1 ) > $o ).
tff(prod_10_type,type,
prod_10: $tType ).
tff(prod_10_empty,type,
prod_10_empty: prod_10 ).
tff(prod_10_insert,type,
prod_10: ( prod_4 * set_0 ) > prod_10 ).
tff(prod_10_in,type,
prod_10_in: ( prod_4 * set_0 * prod_10 ) > $o ).
tff(prod_2_type,type,
prod_2: $tType ).
tff(prod_2_empty,type,
prod_2_empty: prod_2 ).
tff(prod_2_insert,type,
prod_2: ( prod_1 * $o ) > prod_2 ).
tff(prod_2_in,type,
prod_2_in: ( prod_1 * $o * prod_2 ) > $o ).
tff(prod_3_type,type,
prod_3: $tType ).
tff(prod_3_empty,type,
prod_3_empty: prod_3 ).
tff(prod_3_insert,type,
prod_3: ( prod_0 * $o ) > prod_3 ).
tff(prod_3_in,type,
prod_3_in: ( prod_0 * $o * prod_3 ) > $o ).
tff(prod_4_type,type,
prod_4: $tType ).
tff(prod_4_empty,type,
prod_4_empty: prod_4 ).
tff(prod_4_insert,type,
prod_4: ( prod_0 * $int ) > prod_4 ).
tff(prod_4_in,type,
prod_4_in: ( prod_0 * $int * prod_4 ) > $o ).
tff(prod_5_type,type,
prod_5: $tType ).
tff(prod_5_empty,type,
prod_5_empty: prod_5 ).
tff(prod_5_insert,type,
prod_5: ( prod_0 * set_2 ) > prod_5 ).
tff(prod_5_in,type,
prod_5_in: ( prod_0 * set_2 * prod_5 ) > $o ).
tff(prod_6_type,type,
prod_6: $tType ).
tff(prod_6_empty,type,
prod_6_empty: prod_6 ).
tff(prod_6_insert,type,
prod_6: ( $int * set_2 ) > prod_6 ).
tff(prod_6_in,type,
prod_6_in: ( $int * set_2 * prod_6 ) > $o ).
tff(prod_7_type,type,
prod_7: $tType ).
tff(prod_7_empty,type,
prod_7_empty: prod_7 ).
tff(prod_7_insert,type,
prod_7: ( prod_8 * $int ) > prod_7 ).
tff(prod_7_in,type,
prod_7_in: ( prod_8 * $int * prod_7 ) > $o ).
tff(prod_8_type,type,
prod_8: $tType ).
tff(prod_8_empty,type,
prod_8_empty: prod_8 ).
tff(prod_8_insert,type,
prod_8: ( prod_4 * $int ) > prod_8 ).
tff(prod_8_in,type,
prod_8_in: ( prod_4 * $int * prod_8 ) > $o ).
tff(prod_9_type,type,
prod_9: $tType ).
tff(prod_9_empty,type,
prod_9_empty: prod_9 ).
tff(prod_9_insert,type,
prod_9: ( $int * set_0 ) > prod_9 ).
tff(prod_9_in,type,
prod_9_in: ( $int * set_0 * prod_9 ) > $o ).
tff(set_10_type,type,
set_10: $tType ).
tff(set_10_empty,type,
set_10_empty: set_10 ).
tff(set_10_insert,type,
set_10: prod_7 > set_10 ).
tff(set_11_type,type,
set_11: $tType ).
tff(set_11_empty,type,
set_11_empty: set_11 ).
tff(set_11_insert,type,
set_11: prod_9 > set_11 ).
tff(set_12_type,type,
set_12: $tType ).
tff(set_12_empty,type,
set_12_empty: set_12 ).
tff(set_12_insert,type,
set_12: prod_10 > set_12 ).
tff(set_2_type,type,
set_2: $tType ).
tff(set_2_empty,type,
set_2_empty: set_2 ).
tff(set_2_insert,type,
set_2: prod_0 > set_2 ).
tff(set_3_type,type,
set_3: $tType ).
tff(set_3_empty,type,
set_3_empty: set_3 ).
tff(set_3_insert,type,
set_3: $o > set_3 ).
tff(set_4_type,type,
set_4: $tType ).
tff(set_4_empty,type,
set_4_empty: set_4 ).
tff(set_4_insert,type,
set_4: prod_1 > set_4 ).
tff(set_5_type,type,
set_5: $tType ).
tff(set_5_empty,type,
set_5_empty: set_5 ).
tff(set_5_insert,type,
set_5: prod_2 > set_5 ).
tff(set_6_type,type,
set_6: $tType ).
tff(set_6_empty,type,
set_6_empty: set_6 ).
tff(set_6_insert,type,
set_6: prod_3 > set_6 ).
tff(set_7_type,type,
set_7: $tType ).
tff(set_7_empty,type,
set_7_empty: set_7 ).
tff(set_7_insert,type,
set_7: prod_4 > set_7 ).
tff(set_8_type,type,
set_8: $tType ).
tff(set_8_empty,type,
set_8_empty: set_8 ).
tff(set_8_insert,type,
set_8: prod_5 > set_8 ).
tff(set_9_type,type,
set_9: $tType ).
tff(set_9_empty,type,
set_9_empty: set_9 ).
tff(set_9_insert,type,
set_9: prod_6 > set_9 ).
%----Defines
tff('Define:B definitions:0',axiom,
! [X_3: $int] :
( ( $greatereq(X_3,0)
& $lesseq(X_3,max_int) )
<=> ( $greatereq(X_3,0)
& $lesseq(X_3,max_int) ) ) ).
tff('Define:B definitions:1',axiom,
! [X_4: $int] :
( ( $greatereq(X_4,min_int)
& $lesseq(X_4,max_int) )
<=> ( $greatereq(X_4,min_int)
& $lesseq(X_4,max_int) ) ) ).
tff('Define:ctx:0',axiom,
( ! [X_5: $int] :
( mem0(X_5,g_s0_0)
<=> ( ( X_5 = g_s1_1 )
| ( X_5 = g_s2_2 )
| ( X_5 = g_s3_3 ) ) )
& ( g_s1_1 != g_s2_2 )
& ( g_s2_2 != g_s3_3 ) ) ).
tff('Define:ctx:1',axiom,
( ! [X_6: $int] :
( mem0(X_6,g_s4_4)
<=> ( ( X_6 = g_s5_5 )
| ( X_6 = g_s6_6 )
| ( X_6 = g_s7_7 ) ) )
& ( g_s5_5 != g_s6_6 )
& ( g_s6_6 != g_s7_7 ) ) ).
tff('Define:ctx:10',axiom,
( ! [X_15: $int] :
( mem0(X_15,g_s43_43)
<=> ( ( X_15 = g_s44_44 )
| ( X_15 = g_s45_45 )
| ( X_15 = g_s46_46 ) ) )
& ( g_s44_44 != g_s45_45 )
& ( g_s45_45 != g_s46_46 ) ) ).
tff('Define:ctx:100',axiom,
? [X_260: set_5] :
( ! [X_261: $o,X_262: $o,X_263: $o] :
( mem5((X_263),(X_262),(X_261),X_260)
<=> mem5((X_263),(X_262),(X_261),g_s296_293) )
& ! [X_264: $o,X_265: $o,X_266: $o,X_267: $o] :
( ( mem5((X_265),(X_264),(X_266),X_260)
& mem5((X_265),(X_264),(X_267),X_260) )
=> ( (X_266)
<=> (X_267) ) )
& ! [X_268: $o,X_269: $o] :
( ( $true
& $true )
<=> ? [X_270: $o] : mem5((X_269),(X_268),(X_270),X_260) )
& ! [X_271: $o] :
( ? [X_272: $o,X_273: $o] : mem5((X_273),(X_272),(X_271),X_260)
=> $true ) ) ).
tff('Define:ctx:1000',axiom,
~ ! [X_1207: $int] :
( mem0(X_1207,g_s772_763)
<=> $false ) ).
tff('Define:ctx:1001',axiom,
! [X_1208: $int] :
( mem0(X_1208,g_s772_763)
<=> ( $greatereq(X_1208,1)
& $lesseq(X_1208,divB(g_s759_750,2)) ) ) ).
tff('Define:ctx:1002',axiom,
! [X_1209: $int] :
( mem0(X_1209,g_s773_764)
=> ( $greatereq(X_1209,0)
& $lesseq(X_1209,max_int) ) ) ).
tff('Define:ctx:1003',axiom,
! [X_1210: $int] :
( mem0(X_1210,g_s773_764)
<=> ! [X_1211: $int,X_1212: $int] :
( ( mem0(X_1211,g_s768_759)
& ! [X_1213: $int] :
( mem0(X_1213,g_s768_759)
=> $lesseq(X_1211,X_1213) )
& mem0(X_1212,g_s768_759)
& ! [X_1214: $int] :
( mem0(X_1214,g_s768_759)
=> $greatereq(X_1212,X_1214) ) )
=> ( $greatereq(X_1210,X_1211)
& $lesseq(X_1210,X_1212) ) ) ) ).
tff('Define:ctx:1004',axiom,
~ ! [X_1215: $int] :
( mem0(X_1215,g_s773_764)
<=> $false ) ).
tff('Define:ctx:1005',axiom,
! [X_1216: $int] :
( mem0(X_1216,g_s774_765)
<=> ( $greatereq(X_1216,0)
& $lesseq(X_1216,max_int) ) ) ).
tff('Define:ctx:1006',axiom,
! [X_1217: $int] :
( mem0(X_1217,g_s775_766)
=> ( $greatereq(X_1217,0)
& $lesseq(X_1217,max_int) ) ) ).
tff('Define:ctx:1007',axiom,
! [X_1218: $int] :
( mem0(X_1218,g_s775_766)
<=> ! [X_1219: $int,X_1220: $int] :
( ( mem0(X_1219,g_s775_766)
& ! [X_1221: $int] :
( mem0(X_1221,g_s775_766)
=> $lesseq(X_1219,X_1221) )
& mem0(X_1220,g_s775_766)
& ! [X_1222: $int] :
( mem0(X_1222,g_s775_766)
=> $greatereq(X_1220,X_1222) ) )
=> ( $greatereq(X_1218,X_1219)
& $lesseq(X_1218,X_1220) ) ) ) ).
tff('Define:ctx:1008',axiom,
~ ! [X_1223: $int] :
( mem0(X_1223,g_s775_766)
<=> $false ) ).
tff('Define:ctx:1009',axiom,
mem0(g_s776_767,g_s775_766) ).
tff('Define:ctx:101',axiom,
! [X_274: $o,X_275: $o,X_276: $o] :
( mem5((X_276),(X_275),(X_274),g_s296_293)
<=> mem5((X_276),(X_275),(X_274),g_s294_291) ) ).
tff('Define:ctx:1010',axiom,
! [X_1224: $int] :
( mem0(X_1224,g_s777_768)
=> ( $greatereq(X_1224,0)
& $lesseq(X_1224,max_int) ) ) ).
tff('Define:ctx:1011',axiom,
! [X_1225: $int] :
( mem0(X_1225,g_s777_768)
=> ( ( X_1225 = 1 )
| ( X_1225 = 2 ) ) ) ).
tff('Define:ctx:1012',axiom,
~ ! [X_1226: $int] :
( mem0(X_1226,g_s777_768)
<=> $false ) ).
tff('Define:ctx:1013',axiom,
mem0(g_s778_769,g_s777_768) ).
tff('Define:ctx:1014',axiom,
! [X_1227: $int] :
( mem0(X_1227,g_s779_770)
=> ( $greatereq(X_1227,0)
& $lesseq(X_1227,max_int) ) ) ).
tff('Define:ctx:1015',axiom,
! [X_1228: $int] :
( mem0(X_1228,g_s779_770)
<=> ! [X_1229: $int,X_1230: $int] :
( ( mem0(X_1229,g_s779_770)
& ! [X_1231: $int] :
( mem0(X_1231,g_s779_770)
=> $lesseq(X_1229,X_1231) )
& mem0(X_1230,g_s779_770)
& ! [X_1232: $int] :
( mem0(X_1232,g_s779_770)
=> $greatereq(X_1230,X_1232) ) )
=> ( $greatereq(X_1228,X_1229)
& $lesseq(X_1228,X_1230) ) ) ) ).
tff('Define:ctx:1016',axiom,
~ ! [X_1233: $int] :
( mem0(X_1233,g_s779_770)
<=> $false ) ).
tff('Define:ctx:1017',axiom,
mem0(g_s780_771,g_s779_770) ).
tff('Define:ctx:1018',axiom,
! [X_1234: $int] :
( mem0(X_1234,g_s781_772)
=> ( $greatereq(X_1234,0)
& $lesseq(X_1234,max_int) ) ) ).
tff('Define:ctx:1019',axiom,
! [X_1235: $int] :
( mem0(X_1235,g_s781_772)
<=> ! [X_1236: $int,X_1237: $int] :
( ( mem0(X_1236,g_s781_772)
& ! [X_1238: $int] :
( mem0(X_1238,g_s781_772)
=> $lesseq(X_1236,X_1238) )
& mem0(X_1237,g_s781_772)
& ! [X_1239: $int] :
( mem0(X_1239,g_s781_772)
=> $greatereq(X_1237,X_1239) ) )
=> ( $greatereq(X_1235,X_1236)
& $lesseq(X_1235,X_1237) ) ) ) ).
tff('Define:ctx:102',axiom,
? [X_277: set_6] :
( ! [X_278: $o,X_279: $int,X_280: $int] :
( mem6(X_280,X_279,(X_278),X_277)
<=> mem6(X_280,X_279,(X_278),g_s297_294) )
& ! [X_281: $int,X_282: $int,X_283: $o,X_284: $o] :
( ( mem6(X_282,X_281,(X_283),X_277)
& mem6(X_282,X_281,(X_284),X_277) )
=> ( (X_283)
<=> (X_284) ) )
& ! [X_285: $int,X_286: $int] :
( ( mem0(X_286,g_s243_243)
& mem0(X_285,g_s243_243) )
<=> ? [X_287: $o] : mem6(X_286,X_285,(X_287),X_277) )
& ! [X_288: $o] :
( ? [X_289: $int,X_290: $int] : mem6(X_290,X_289,(X_288),X_277)
=> $true ) ) ).
tff('Define:ctx:1020',axiom,
~ ! [X_1240: $int] :
( mem0(X_1240,g_s781_772)
<=> $false ) ).
tff('Define:ctx:1021',axiom,
mem0(g_s782_773,g_s781_772) ).
tff('Define:ctx:1022',axiom,
! [X_1241: $int] :
( mem0(X_1241,g_s783_774)
<=> ( $greatereq(X_1241,min_int)
& $lesseq(X_1241,max_int) ) ) ).
tff('Define:ctx:1023',axiom,
! [X_1242: $int] :
( mem0(X_1242,g_s784_775)
=> ( $greatereq(X_1242,0)
& $lesseq(X_1242,max_int) ) ) ).
tff('Define:ctx:1024',axiom,
~ ! [X_1243: $int] :
( mem0(X_1243,g_s784_775)
<=> $false ) ).
tff('Define:ctx:1025',axiom,
! [X_1244: $int] :
( ( X_1244 = 0 )
=> mem0(X_1244,g_s784_775) ) ).
tff('Define:ctx:1026',axiom,
! [X_1245: $int] :
( mem0(X_1245,g_s784_775)
<=> ! [X_1246: $int,X_1247: $int] :
( ( mem0(X_1246,g_s784_775)
& ! [X_1248: $int] :
( mem0(X_1248,g_s784_775)
=> $lesseq(X_1246,X_1248) )
& mem0(X_1247,g_s784_775)
& ! [X_1249: $int] :
( mem0(X_1249,g_s784_775)
=> $greatereq(X_1247,X_1249) ) )
=> ( $greatereq(X_1245,X_1246)
& $lesseq(X_1245,X_1247) ) ) ) ).
tff('Define:ctx:1027',axiom,
! [X_1250: $int] :
( mem0(X_1250,g_s785_776)
=> ( $greatereq(X_1250,0)
& $lesseq(X_1250,max_int) ) ) ).
tff('Define:ctx:1028',axiom,
~ ! [X_1251: $int] :
( mem0(X_1251,g_s785_776)
<=> $false ) ).
tff('Define:ctx:1029',axiom,
! [X_1252: $int] :
( mem0(X_1252,g_s785_776)
<=> ! [X_1253: $int,X_1254: $int] :
( ( mem0(X_1253,g_s785_776)
& ! [X_1255: $int] :
( mem0(X_1255,g_s785_776)
=> $lesseq(X_1253,X_1255) )
& mem0(X_1254,g_s785_776)
& ! [X_1256: $int] :
( mem0(X_1256,g_s785_776)
=> $greatereq(X_1254,X_1256) ) )
=> ( $greatereq(X_1252,X_1253)
& $lesseq(X_1252,X_1254) ) ) ) ).
tff('Define:ctx:103',axiom,
! [X_291: $o,X_292: $int,X_293: $int] :
( mem6(X_293,X_292,(X_291),g_s297_294)
<=> ( mem0(X_293,g_s243_243)
& mem0(X_292,g_s243_243)
& ( (X_291)
<=> $greatereq(X_293,X_292) ) ) ) ).
tff('Define:ctx:1030',axiom,
mem0(g_s786_777,g_s456_447) ).
tff('Define:ctx:1031',axiom,
g_s786_777 = g_s352_343 ).
tff('Define:ctx:1032',axiom,
mem0(g_s787_778,g_s456_447) ).
tff('Define:ctx:1033',axiom,
( mem0(g_s787_778,g_s456_447)
& ! [X_1257: $int] :
( mem0(X_1257,g_s456_447)
=> $greatereq(g_s787_778,X_1257) ) ) ).
tff('Define:ctx:1034',axiom,
mem0(g_s788_779,g_s456_447) ).
tff('Define:ctx:1035',axiom,
( mem0(g_s788_779,g_s456_447)
& ! [X_1258: $int] :
( mem0(X_1258,g_s456_447)
=> $greatereq(g_s788_779,X_1258) ) ) ).
tff('Define:ctx:1036',axiom,
mem0(g_s789_780,g_s457_448) ).
tff('Define:ctx:1037',axiom,
( mem0(g_s789_780,g_s457_448)
& ! [X_1259: $int] :
( mem0(X_1259,g_s457_448)
=> $greatereq(g_s789_780,X_1259) ) ) ).
tff('Define:ctx:1038',axiom,
mem0(g_s708_699,g_s134_134) ).
tff('Define:ctx:1039',axiom,
mem0(g_s708_699,g_s331_322) ).
tff('Define:ctx:104',axiom,
? [X_294: set_6] :
( ! [X_295: $o,X_296: $int,X_297: $int] :
( mem6(X_297,X_296,(X_295),X_294)
<=> mem6(X_297,X_296,(X_295),g_s300_295) )
& ! [X_298: $int,X_299: $int,X_300: $o,X_301: $o] :
( ( mem6(X_299,X_298,(X_300),X_294)
& mem6(X_299,X_298,(X_301),X_294) )
=> ( (X_300)
<=> (X_301) ) )
& ! [X_302: $int,X_303: $int] :
( ( mem0(X_303,g_s243_243)
& mem0(X_302,g_s243_243) )
<=> ? [X_304: $o] : mem6(X_303,X_302,(X_304),X_294) )
& ! [X_305: $o] :
( ? [X_306: $int,X_307: $int] : mem6(X_307,X_306,(X_305),X_294)
=> $true ) ) ).
tff('Define:ctx:1040',axiom,
mem0(g_s790_781,g_s457_448) ).
tff('Define:ctx:1041',axiom,
( mem0(g_s790_781,g_s457_448)
& ! [X_1260: $int] :
( mem0(X_1260,g_s457_448)
=> $greatereq(g_s790_781,X_1260) ) ) ).
tff('Define:ctx:1042',axiom,
mem0(g_s791_782,g_s457_448) ).
tff('Define:ctx:1043',axiom,
( mem0(g_s791_782,g_s457_448)
& ! [X_1261: $int] :
( mem0(X_1261,g_s457_448)
=> $greatereq(g_s791_782,X_1261) ) ) ).
tff('Define:ctx:1044',axiom,
( $greatereq(g_s792_783,min_int)
& $lesseq(g_s792_783,max_int) ) ).
tff('Define:ctx:1045',axiom,
g_s792_783 = min_int ).
tff('Define:ctx:1046',axiom,
mem0(g_s793_784,g_s134_134) ).
tff('Define:ctx:1047',axiom,
mem0(g_s793_784,g_s331_322) ).
tff('Define:ctx:1048',axiom,
mem0(g_s794_785,g_s245_245) ).
tff('Define:ctx:1049',axiom,
mem0(g_s795_786,g_s245_245) ).
tff('Define:ctx:105',axiom,
! [X_308: $o,X_309: $int,X_310: $int] :
( mem6(X_310,X_309,(X_308),g_s300_295)
<=> mem6(X_310,X_309,(X_308),g_s297_294) ) ).
tff('Define:ctx:1050',axiom,
mem0(g_s796_787,g_s245_245) ).
tff('Define:ctx:1051',axiom,
mem0(g_s797_788,g_s245_245) ).
tff('Define:ctx:1052',axiom,
mem0(g_s798_789,g_s245_245) ).
tff('Define:ctx:1053',axiom,
mem0(g_s799_790,g_s245_245) ).
tff('Define:ctx:1054',axiom,
mem0(g_s800_791,g_s245_245) ).
tff('Define:ctx:1055',axiom,
mem0(g_s801_792,g_s245_245) ).
tff('Define:ctx:1056',axiom,
mem0(g_s802_793,g_s245_245) ).
tff('Define:ctx:1057',axiom,
mem0(g_s803_794,g_s245_245) ).
tff('Define:ctx:1058',axiom,
mem0(g_s804_795,g_s245_245) ).
tff('Define:ctx:1059',axiom,
mem0(g_s805_796,g_s245_245) ).
tff('Define:ctx:106',axiom,
? [X_311: set_6] :
( ! [X_312: $o,X_313: $int,X_314: $int] :
( mem6(X_314,X_313,(X_312),X_311)
<=> mem6(X_314,X_313,(X_312),g_s301_296) )
& ! [X_315: $int,X_316: $int,X_317: $o,X_318: $o] :
( ( mem6(X_316,X_315,(X_317),X_311)
& mem6(X_316,X_315,(X_318),X_311) )
=> ( (X_317)
<=> (X_318) ) )
& ! [X_319: $int,X_320: $int] :
( ( mem0(X_320,g_s243_243)
& mem0(X_319,g_s243_243) )
<=> ? [X_321: $o] : mem6(X_320,X_319,(X_321),X_311) )
& ! [X_322: $o] :
( ? [X_323: $int,X_324: $int] : mem6(X_324,X_323,(X_322),X_311)
=> $true ) ) ).
tff('Define:ctx:1060',axiom,
mem0(g_s806_797,g_s245_245) ).
tff('Define:ctx:1061',axiom,
mem0(g_s807_798,g_s245_245) ).
tff('Define:ctx:1062',axiom,
mem0(g_s808_799,g_s245_245) ).
tff('Define:ctx:1063',axiom,
mem0(g_s809_800,g_s245_245) ).
tff('Define:ctx:1064',axiom,
mem0(g_s810_801,g_s245_245) ).
tff('Define:ctx:1065',axiom,
g_s794_785 = g_s252_252 ).
tff('Define:ctx:1066',axiom,
g_s795_786 = g_s253_253 ).
tff('Define:ctx:1067',axiom,
g_s796_787 = g_s254_254 ).
tff('Define:ctx:1068',axiom,
g_s797_788 = g_s255_255 ).
tff('Define:ctx:1069',axiom,
g_s798_789 = g_s256_256 ).
tff('Define:ctx:107',axiom,
! [X_325: $o,X_326: $int,X_327: $int] :
( mem6(X_327,X_326,(X_325),g_s301_296)
<=> mem6(X_327,X_326,(X_325),g_s297_294) ) ).
tff('Define:ctx:1070',axiom,
g_s799_790 = g_s257_257 ).
tff('Define:ctx:1071',axiom,
g_s800_791 = g_s258_258 ).
tff('Define:ctx:1072',axiom,
g_s801_792 = g_s259_259 ).
tff('Define:ctx:1073',axiom,
g_s802_793 = g_s260_260 ).
tff('Define:ctx:1074',axiom,
g_s803_794 = g_s261_261 ).
tff('Define:ctx:1075',axiom,
g_s804_795 = g_s262_262 ).
tff('Define:ctx:1076',axiom,
g_s805_796 = g_s263_263 ).
tff('Define:ctx:1077',axiom,
g_s806_797 = g_s264_264 ).
tff('Define:ctx:1078',axiom,
g_s807_798 = g_s265_265 ).
tff('Define:ctx:1079',axiom,
g_s808_799 = g_s266_266 ).
tff('Define:ctx:108',axiom,
? [X_328: set_6] :
( ! [X_329: $o,X_330: $int,X_331: $int] :
( mem6(X_331,X_330,(X_329),X_328)
<=> mem6(X_331,X_330,(X_329),g_s302_297) )
& ! [X_332: $int,X_333: $int,X_334: $o,X_335: $o] :
( ( mem6(X_333,X_332,(X_334),X_328)
& mem6(X_333,X_332,(X_335),X_328) )
=> ( (X_334)
<=> (X_335) ) )
& ! [X_336: $int,X_337: $int] :
( ( mem0(X_337,g_s243_243)
& mem0(X_336,g_s243_243) )
<=> ? [X_338: $o] : mem6(X_337,X_336,(X_338),X_328) )
& ! [X_339: $o] :
( ? [X_340: $int,X_341: $int] : mem6(X_341,X_340,(X_339),X_328)
=> $true ) ) ).
tff('Define:ctx:1080',axiom,
g_s809_800 = g_s267_267 ).
tff('Define:ctx:1081',axiom,
g_s810_801 = g_s268_268 ).
tff('Define:ctx:1082',axiom,
mem0(g_s811_802,g_s245_245) ).
tff('Define:ctx:1083',axiom,
mem0(g_s812_803,g_s245_245) ).
tff('Define:ctx:1084',axiom,
mem0(g_s813_804,g_s245_245) ).
tff('Define:ctx:1085',axiom,
mem0(g_s814_805,g_s245_245) ).
tff('Define:ctx:1086',axiom,
mem0(g_s815_806,g_s245_245) ).
tff('Define:ctx:1087',axiom,
mem0(g_s816_807,g_s245_245) ).
tff('Define:ctx:1088',axiom,
mem0(g_s817_808,g_s245_245) ).
tff('Define:ctx:1089',axiom,
mem0(g_s818_809,g_s245_245) ).
tff('Define:ctx:109',axiom,
! [X_342: $o,X_343: $int,X_344: $int] :
( mem6(X_344,X_343,(X_342),g_s302_297)
<=> mem6(X_344,X_343,(X_342),g_s297_294) ) ).
tff('Define:ctx:1090',axiom,
mem0(g_s819_810,g_s245_245) ).
tff('Define:ctx:1091',axiom,
mem0(g_s820_811,g_s245_245) ).
tff('Define:ctx:1092',axiom,
mem0(g_s821_812,g_s245_245) ).
tff('Define:ctx:1093',axiom,
mem0(g_s822_813,g_s245_245) ).
tff('Define:ctx:1094',axiom,
mem0(g_s823_814,g_s245_245) ).
tff('Define:ctx:1095',axiom,
mem0(g_s824_815,g_s245_245) ).
tff('Define:ctx:1096',axiom,
mem0(g_s825_816,g_s245_245) ).
tff('Define:ctx:1097',axiom,
mem0(g_s826_817,g_s245_245) ).
tff('Define:ctx:1098',axiom,
mem0(g_s827_818,g_s245_245) ).
tff('Define:ctx:1099',axiom,
g_s811_802 = g_s252_252 ).
tff('Define:ctx:11',axiom,
( ! [X_16: $int] :
( mem0(X_16,g_s47_47)
<=> ( ( X_16 = g_s48_48 )
| ( X_16 = g_s49_49 )
| ( X_16 = g_s50_50 ) ) )
& ( g_s48_48 != g_s49_49 )
& ( g_s49_49 != g_s50_50 ) ) ).
tff('Define:ctx:110',axiom,
? [X_345: set_6] :
( ! [X_346: $o,X_347: $int,X_348: $int] :
( mem6(X_348,X_347,(X_346),X_345)
<=> mem6(X_348,X_347,(X_346),g_s303_298) )
& ! [X_349: $int,X_350: $int,X_351: $o,X_352: $o] :
( ( mem6(X_350,X_349,(X_351),X_345)
& mem6(X_350,X_349,(X_352),X_345) )
=> ( (X_351)
<=> (X_352) ) )
& ! [X_353: $int,X_354: $int] :
( ( mem0(X_354,g_s243_243)
& mem0(X_353,g_s243_243) )
<=> ? [X_355: $o] : mem6(X_354,X_353,(X_355),X_345) )
& ! [X_356: $o] :
( ? [X_357: $int,X_358: $int] : mem6(X_358,X_357,(X_356),X_345)
=> $true ) ) ).
tff('Define:ctx:1100',axiom,
g_s812_803 = g_s253_253 ).
tff('Define:ctx:1101',axiom,
g_s813_804 = g_s254_254 ).
tff('Define:ctx:1102',axiom,
g_s814_805 = g_s255_255 ).
tff('Define:ctx:1103',axiom,
g_s815_806 = g_s256_256 ).
tff('Define:ctx:1104',axiom,
g_s816_807 = g_s257_257 ).
tff('Define:ctx:1105',axiom,
g_s817_808 = g_s258_258 ).
tff('Define:ctx:1106',axiom,
g_s818_809 = g_s259_259 ).
tff('Define:ctx:1107',axiom,
g_s819_810 = g_s260_260 ).
tff('Define:ctx:1108',axiom,
g_s820_811 = g_s261_261 ).
tff('Define:ctx:1109',axiom,
g_s821_812 = g_s262_262 ).
tff('Define:ctx:111',axiom,
! [X_359: $o,X_360: $int,X_361: $int] :
( mem6(X_361,X_360,(X_359),g_s303_298)
<=> ( mem0(X_361,g_s243_243)
& mem0(X_360,g_s243_243)
& ( (X_359)
<=> $greater(X_361,X_360) ) ) ) ).
tff('Define:ctx:1110',axiom,
g_s822_813 = g_s263_263 ).
tff('Define:ctx:1111',axiom,
g_s823_814 = g_s264_264 ).
tff('Define:ctx:1112',axiom,
g_s824_815 = g_s265_265 ).
tff('Define:ctx:1113',axiom,
g_s825_816 = g_s266_266 ).
tff('Define:ctx:1114',axiom,
g_s826_817 = g_s267_267 ).
tff('Define:ctx:1115',axiom,
g_s827_818 = g_s268_268 ).
tff('Define:ctx:1116',axiom,
g_s828_819 = g_s252_252 ).
tff('Define:ctx:1117',axiom,
g_s829_820 = g_s253_253 ).
tff('Define:ctx:1118',axiom,
g_s830_821 = g_s254_254 ).
tff('Define:ctx:1119',axiom,
mem0(g_s831_822,g_s245_245) ).
tff('Define:ctx:112',axiom,
? [X_362: set_6] :
( ! [X_363: $o,X_364: $int,X_365: $int] :
( mem6(X_365,X_364,(X_363),X_362)
<=> mem6(X_365,X_364,(X_363),g_s304_299) )
& ! [X_366: $int,X_367: $int,X_368: $o,X_369: $o] :
( ( mem6(X_367,X_366,(X_368),X_362)
& mem6(X_367,X_366,(X_369),X_362) )
=> ( (X_368)
<=> (X_369) ) )
& ! [X_370: $int,X_371: $int] :
( ( mem0(X_371,g_s243_243)
& mem0(X_370,g_s243_243) )
<=> ? [X_372: $o] : mem6(X_371,X_370,(X_372),X_362) )
& ! [X_373: $o] :
( ? [X_374: $int,X_375: $int] : mem6(X_375,X_374,(X_373),X_362)
=> $true ) ) ).
tff('Define:ctx:1120',axiom,
mem0(g_s832_823,g_s245_245) ).
tff('Define:ctx:1121',axiom,
mem0(g_s833_824,g_s245_245) ).
tff('Define:ctx:1122',axiom,
mem0(g_s834_825,g_s245_245) ).
tff('Define:ctx:1123',axiom,
mem0(g_s835_826,g_s245_245) ).
tff('Define:ctx:1124',axiom,
mem0(g_s836_827,g_s245_245) ).
tff('Define:ctx:1125',axiom,
mem0(g_s837_828,g_s245_245) ).
tff('Define:ctx:1126',axiom,
mem0(g_s838_829,g_s245_245) ).
tff('Define:ctx:1127',axiom,
mem0(g_s839_830,g_s245_245) ).
tff('Define:ctx:1128',axiom,
g_s831_822 = g_s252_252 ).
tff('Define:ctx:1129',axiom,
g_s832_823 = g_s253_253 ).
tff('Define:ctx:113',axiom,
! [X_376: $o,X_377: $int,X_378: $int] :
( mem6(X_378,X_377,(X_376),g_s304_299)
<=> mem6(X_378,X_377,(X_376),g_s303_298) ) ).
tff('Define:ctx:1130',axiom,
g_s833_824 = g_s254_254 ).
tff('Define:ctx:1131',axiom,
g_s834_825 = g_s255_255 ).
tff('Define:ctx:1132',axiom,
g_s835_826 = g_s256_256 ).
tff('Define:ctx:1133',axiom,
g_s836_827 = g_s257_257 ).
tff('Define:ctx:1134',axiom,
g_s837_828 = g_s258_258 ).
tff('Define:ctx:1135',axiom,
g_s838_829 = g_s259_259 ).
tff('Define:ctx:1136',axiom,
g_s839_830 = g_s260_260 ).
tff('Define:ctx:1137',axiom,
mem0(g_s840_831,g_s245_245) ).
tff('Define:ctx:1138',axiom,
mem0(g_s841_832,g_s245_245) ).
tff('Define:ctx:1139',axiom,
mem0(g_s842_833,g_s245_245) ).
tff('Define:ctx:114',axiom,
? [X_379: set_6] :
( ! [X_380: $o,X_381: $int,X_382: $int] :
( mem6(X_382,X_381,(X_380),X_379)
<=> mem6(X_382,X_381,(X_380),g_s305_300) )
& ! [X_383: $int,X_384: $int,X_385: $o,X_386: $o] :
( ( mem6(X_384,X_383,(X_385),X_379)
& mem6(X_384,X_383,(X_386),X_379) )
=> ( (X_385)
<=> (X_386) ) )
& ! [X_387: $int,X_388: $int] :
( ( mem0(X_388,g_s243_243)
& mem0(X_387,g_s243_243) )
<=> ? [X_389: $o] : mem6(X_388,X_387,(X_389),X_379) )
& ! [X_390: $o] :
( ? [X_391: $int,X_392: $int] : mem6(X_392,X_391,(X_390),X_379)
=> $true ) ) ).
tff('Define:ctx:1140',axiom,
mem0(g_s843_834,g_s245_245) ).
tff('Define:ctx:1141',axiom,
mem0(g_s844_835,g_s245_245) ).
tff('Define:ctx:1142',axiom,
mem0(g_s845_836,g_s245_245) ).
tff('Define:ctx:1143',axiom,
mem0(g_s846_837,g_s245_245) ).
tff('Define:ctx:1144',axiom,
mem0(g_s847_838,g_s245_245) ).
tff('Define:ctx:1145',axiom,
mem0(g_s848_839,g_s245_245) ).
tff('Define:ctx:1146',axiom,
mem0(g_s849_840,g_s245_245) ).
tff('Define:ctx:1147',axiom,
mem0(g_s850_841,g_s245_245) ).
tff('Define:ctx:1148',axiom,
mem0(g_s851_842,g_s245_245) ).
tff('Define:ctx:1149',axiom,
mem0(g_s852_843,g_s245_245) ).
tff('Define:ctx:115',axiom,
! [X_393: $o,X_394: $int,X_395: $int] :
( mem6(X_395,X_394,(X_393),g_s305_300)
<=> mem6(X_395,X_394,(X_393),g_s303_298) ) ).
tff('Define:ctx:1150',axiom,
mem0(g_s853_844,g_s245_245) ).
tff('Define:ctx:1151',axiom,
mem0(g_s854_845,g_s245_245) ).
tff('Define:ctx:1152',axiom,
mem0(g_s855_846,g_s245_245) ).
tff('Define:ctx:1153',axiom,
mem0(g_s856_847,g_s245_245) ).
tff('Define:ctx:1154',axiom,
mem0(g_s857_848,g_s245_245) ).
tff('Define:ctx:1155',axiom,
mem0(g_s858_849,g_s245_245) ).
tff('Define:ctx:1156',axiom,
mem0(g_s859_850,g_s245_245) ).
tff('Define:ctx:1157',axiom,
mem0(g_s860_851,g_s245_245) ).
tff('Define:ctx:1158',axiom,
mem0(g_s861_852,g_s245_245) ).
tff('Define:ctx:1159',axiom,
mem0(g_s862_853,g_s245_245) ).
tff('Define:ctx:116',axiom,
? [X_396: set_6] :
( ! [X_397: $o,X_398: $int,X_399: $int] :
( mem6(X_399,X_398,(X_397),X_396)
<=> mem6(X_399,X_398,(X_397),g_s306_301) )
& ! [X_400: $int,X_401: $int,X_402: $o,X_403: $o] :
( ( mem6(X_401,X_400,(X_402),X_396)
& mem6(X_401,X_400,(X_403),X_396) )
=> ( (X_402)
<=> (X_403) ) )
& ! [X_404: $int,X_405: $int] :
( ( mem0(X_405,g_s243_243)
& mem0(X_404,g_s243_243) )
<=> ? [X_406: $o] : mem6(X_405,X_404,(X_406),X_396) )
& ! [X_407: $o] :
( ? [X_408: $int,X_409: $int] : mem6(X_409,X_408,(X_407),X_396)
=> $true ) ) ).
tff('Define:ctx:1160',axiom,
mem0(g_s863_854,g_s245_245) ).
tff('Define:ctx:1161',axiom,
mem0(g_s864_855,g_s245_245) ).
tff('Define:ctx:1162',axiom,
mem0(g_s865_856,g_s245_245) ).
tff('Define:ctx:1163',axiom,
mem0(g_s866_857,g_s245_245) ).
tff('Define:ctx:1164',axiom,
mem0(g_s867_858,g_s245_245) ).
tff('Define:ctx:1165',axiom,
mem0(g_s868_859,g_s245_245) ).
tff('Define:ctx:1166',axiom,
mem0(g_s869_860,g_s245_245) ).
tff('Define:ctx:1167',axiom,
mem0(g_s870_861,g_s245_245) ).
tff('Define:ctx:1168',axiom,
mem0(g_s871_862,g_s245_245) ).
tff('Define:ctx:1169',axiom,
mem0(g_s872_863,g_s245_245) ).
tff('Define:ctx:117',axiom,
! [X_410: $o,X_411: $int,X_412: $int] :
( mem6(X_412,X_411,(X_410),g_s306_301)
<=> mem6(X_412,X_411,(X_410),g_s303_298) ) ).
tff('Define:ctx:1170',axiom,
mem0(g_s873_864,g_s245_245) ).
tff('Define:ctx:1171',axiom,
mem0(g_s874_865,g_s245_245) ).
tff('Define:ctx:1172',axiom,
mem0(g_s875_866,g_s245_245) ).
tff('Define:ctx:1173',axiom,
mem0(g_s876_867,g_s245_245) ).
tff('Define:ctx:1174',axiom,
mem0(g_s877_868,g_s245_245) ).
tff('Define:ctx:1175',axiom,
g_s842_833 = g_s252_252 ).
tff('Define:ctx:1176',axiom,
g_s840_831 = g_s253_253 ).
tff('Define:ctx:1177',axiom,
g_s841_832 = g_s254_254 ).
tff('Define:ctx:1178',axiom,
g_s845_836 = g_s255_255 ).
tff('Define:ctx:1179',axiom,
g_s843_834 = g_s254_254 ).
tff('Define:ctx:118',axiom,
? [X_413: set_6] :
( ! [X_414: $o,X_415: $int,X_416: $int] :
( mem6(X_416,X_415,(X_414),X_413)
<=> mem6(X_416,X_415,(X_414),g_s307_302) )
& ! [X_417: $int,X_418: $int,X_419: $o,X_420: $o] :
( ( mem6(X_418,X_417,(X_419),X_413)
& mem6(X_418,X_417,(X_420),X_413) )
=> ( (X_419)
<=> (X_420) ) )
& ! [X_421: $int,X_422: $int] :
( ( mem0(X_422,g_s243_243)
& mem0(X_421,g_s243_243) )
<=> ? [X_423: $o] : mem6(X_422,X_421,(X_423),X_413) )
& ! [X_424: $o] :
( ? [X_425: $int,X_426: $int] : mem6(X_426,X_425,(X_424),X_413)
=> $true ) ) ).
tff('Define:ctx:1180',axiom,
g_s847_838 = g_s253_253 ).
tff('Define:ctx:1181',axiom,
g_s846_837 = g_s252_252 ).
tff('Define:ctx:1182',axiom,
g_s848_839 = g_s252_252 ).
tff('Define:ctx:1183',axiom,
g_s849_840 = g_s253_253 ).
tff('Define:ctx:1184',axiom,
g_s850_841 = g_s255_255 ).
tff('Define:ctx:1185',axiom,
g_s851_842 = g_s252_252 ).
tff('Define:ctx:1186',axiom,
g_s852_843 = g_s253_253 ).
tff('Define:ctx:1187',axiom,
g_s853_844 = g_s254_254 ).
tff('Define:ctx:1188',axiom,
g_s854_845 = g_s255_255 ).
tff('Define:ctx:1189',axiom,
g_s855_846 = g_s252_252 ).
tff('Define:ctx:119',axiom,
! [X_427: $o,X_428: $int,X_429: $int] :
( mem6(X_429,X_428,(X_427),g_s307_302)
<=> ( mem0(X_429,g_s243_243)
& mem0(X_428,g_s243_243)
& ( (X_427)
<=> ( X_429 = X_428 ) ) ) ) ).
tff('Define:ctx:1190',axiom,
g_s856_847 = g_s253_253 ).
tff('Define:ctx:1191',axiom,
g_s857_848 = g_s254_254 ).
tff('Define:ctx:1192',axiom,
g_s858_849 = g_s255_255 ).
tff('Define:ctx:1193',axiom,
g_s859_850 = g_s252_252 ).
tff('Define:ctx:1194',axiom,
g_s860_851 = g_s253_253 ).
tff('Define:ctx:1195',axiom,
g_s861_852 = g_s254_254 ).
tff('Define:ctx:1196',axiom,
g_s862_853 = g_s255_255 ).
tff('Define:ctx:1197',axiom,
g_s863_854 = g_s256_256 ).
tff('Define:ctx:1198',axiom,
g_s864_855 = g_s257_257 ).
tff('Define:ctx:1199',axiom,
g_s865_856 = g_s252_252 ).
tff('Define:ctx:12',axiom,
( ! [X_17: $int] :
( mem0(X_17,g_s51_51)
<=> ( ( X_17 = g_s52_52 )
| ( X_17 = g_s53_53 )
| ( X_17 = g_s54_54 ) ) )
& ( g_s52_52 != g_s53_53 )
& ( g_s53_53 != g_s54_54 ) ) ).
tff('Define:ctx:120',axiom,
? [X_430: set_6] :
( ! [X_431: $o,X_432: $int,X_433: $int] :
( mem6(X_433,X_432,(X_431),X_430)
<=> mem6(X_433,X_432,(X_431),g_s308_303) )
& ! [X_434: $int,X_435: $int,X_436: $o,X_437: $o] :
( ( mem6(X_435,X_434,(X_436),X_430)
& mem6(X_435,X_434,(X_437),X_430) )
=> ( (X_436)
<=> (X_437) ) )
& ! [X_438: $int,X_439: $int] :
( ( mem0(X_439,g_s243_243)
& mem0(X_438,g_s243_243) )
<=> ? [X_440: $o] : mem6(X_439,X_438,(X_440),X_430) )
& ! [X_441: $o] :
( ? [X_442: $int,X_443: $int] : mem6(X_443,X_442,(X_441),X_430)
=> $true ) ) ).
tff('Define:ctx:1200',axiom,
g_s866_857 = g_s253_253 ).
tff('Define:ctx:1201',axiom,
g_s867_858 = g_s254_254 ).
tff('Define:ctx:1202',axiom,
g_s868_859 = g_s255_255 ).
tff('Define:ctx:1203',axiom,
g_s869_860 = g_s256_256 ).
tff('Define:ctx:1204',axiom,
g_s870_861 = g_s257_257 ).
tff('Define:ctx:1205',axiom,
g_s871_862 = g_s252_252 ).
tff('Define:ctx:1206',axiom,
g_s872_863 = g_s253_253 ).
tff('Define:ctx:1207',axiom,
g_s873_864 = g_s254_254 ).
tff('Define:ctx:1208',axiom,
g_s874_865 = g_s255_255 ).
tff('Define:ctx:1209',axiom,
g_s875_866 = g_s252_252 ).
tff('Define:ctx:121',axiom,
! [X_444: $o,X_445: $int,X_446: $int] :
( mem6(X_446,X_445,(X_444),g_s308_303)
<=> mem6(X_446,X_445,(X_444),g_s307_302) ) ).
tff('Define:ctx:1210',axiom,
g_s876_867 = g_s253_253 ).
tff('Define:ctx:1211',axiom,
g_s877_868 = g_s254_254 ).
tff('Define:ctx:1212',axiom,
! [X_1262: $int] :
( mem0(X_1262,g_s878_869)
<=> ( $greatereq(X_1262,min_int)
& $lesseq(X_1262,max_int) ) ) ).
tff('Define:ctx:1213',axiom,
! [X_1263: $int] :
( mem0(X_1263,g_s879_870)
<=> ( $greatereq(X_1263,min_int)
& $lesseq(X_1263,max_int) ) ) ).
tff('Define:ctx:1214',axiom,
! [X_1264: $int] :
( mem0(X_1264,g_s880_871)
<=> ( $greatereq(X_1264,0)
& $lesseq(X_1264,max_int) ) ) ).
tff('Define:ctx:1215',axiom,
! [X_1265: $int] :
( mem0(X_1265,g_s881_872)
=> mem0(X_1265,g_s237_237) ) ).
tff('Define:ctx:1216',axiom,
! [X_1266: $int] :
( mem0(X_1266,g_s881_872)
<=> mem0(X_1266,g_s237_237) ) ).
tff('Define:ctx:1217',axiom,
( $greatereq(g_s882_873,min_int)
& $lesseq(g_s882_873,max_int) ) ).
tff('Define:ctx:1218',axiom,
( $greatereq(g_s883_874,min_int)
& $lesseq(g_s883_874,max_int) ) ).
tff('Define:ctx:1219',axiom,
( $greatereq(g_s884_875,min_int)
& $lesseq(g_s884_875,max_int) ) ).
tff('Define:ctx:122',axiom,
? [X_447: set_6] :
( ! [X_448: $o,X_449: $int,X_450: $int] :
( mem6(X_450,X_449,(X_448),X_447)
<=> mem6(X_450,X_449,(X_448),g_s309_304) )
& ! [X_451: $int,X_452: $int,X_453: $o,X_454: $o] :
( ( mem6(X_452,X_451,(X_453),X_447)
& mem6(X_452,X_451,(X_454),X_447) )
=> ( (X_453)
<=> (X_454) ) )
& ! [X_455: $int,X_456: $int] :
( ( mem0(X_456,g_s243_243)
& mem0(X_455,g_s243_243) )
<=> ? [X_457: $o] : mem6(X_456,X_455,(X_457),X_447) )
& ! [X_458: $o] :
( ? [X_459: $int,X_460: $int] : mem6(X_460,X_459,(X_458),X_447)
=> $true ) ) ).
tff('Define:ctx:1220',axiom,
? [X_1267: set_2] :
( ! [X_1268: $int,X_1269: $int] :
( mem2(X_1269,X_1268,X_1267)
<=> mem2(X_1269,X_1268,g_s885_876) )
& ! [X_1270: $int,X_1271: $int,X_1272: $int] :
( ( mem2(X_1270,X_1271,X_1267)
& mem2(X_1270,X_1272,X_1267) )
=> ( X_1271 = X_1272 ) )
& ! [X_1273: $int] :
( mem0(X_1273,g_s339_330)
<=> ? [X_1274: $int] : mem2(X_1273,X_1274,X_1267) )
& ! [X_1275: $int] :
( ? [X_1276: $int] : mem2(X_1276,X_1275,X_1267)
=> mem0(X_1275,g_s36_36) ) ) ).
tff('Define:ctx:1221',axiom,
? [X_1277: set_7] :
( ! [X_1278: $int,X_1279: $int,X_1280: $int] :
( mem7(X_1280,X_1279,X_1278,X_1277)
<=> mem7(X_1280,X_1279,X_1278,g_s886_877) )
& ! [X_1281: $int,X_1282: $int,X_1283: $int,X_1284: $int] :
( ( mem7(X_1282,X_1281,X_1283,X_1277)
& mem7(X_1282,X_1281,X_1284,X_1277) )
=> ( X_1283 = X_1284 ) )
& ! [X_1285: $int,X_1286: $int] :
( ( mem0(X_1286,g_s339_330)
& mem0(X_1285,g_s335_326) )
<=> ? [X_1287: $int] : mem7(X_1286,X_1285,X_1287,X_1277) )
& ! [X_1288: $int] :
( ? [X_1289: $int,X_1290: $int] : mem7(X_1290,X_1289,X_1288,X_1277)
=> mem0(X_1288,g_s698_689) ) ) ).
tff('Define:ctx:1222',axiom,
? [X_1291: set_7] :
( ! [X_1292: $int,X_1293: $int,X_1294: $int] :
( mem7(X_1294,X_1293,X_1292,X_1291)
<=> mem7(X_1294,X_1293,X_1292,g_s887_878) )
& ! [X_1295: $int,X_1296: $int,X_1297: $int,X_1298: $int] :
( ( mem7(X_1296,X_1295,X_1297,X_1291)
& mem7(X_1296,X_1295,X_1298,X_1291) )
=> ( X_1297 = X_1298 ) )
& ! [X_1299: $int,X_1300: $int] :
( ( mem0(X_1300,g_s662_653)
& mem0(X_1299,g_s460_451) )
<=> ? [X_1301: $int] : mem7(X_1300,X_1299,X_1301,X_1291) )
& ! [X_1302: $int] :
( ? [X_1303: $int,X_1304: $int] : mem7(X_1304,X_1303,X_1302,X_1291)
=> mem0(X_1302,g_s699_690) ) ) ).
tff('Define:ctx:1223',axiom,
? [X_1305: set_7] :
( ! [X_1306: $int,X_1307: $int,X_1308: $int] :
( mem7(X_1308,X_1307,X_1306,X_1305)
<=> mem7(X_1308,X_1307,X_1306,g_s888_879) )
& ! [X_1309: $int,X_1310: $int,X_1311: $int,X_1312: $int] :
( ( mem7(X_1310,X_1309,X_1311,X_1305)
& mem7(X_1310,X_1309,X_1312,X_1305) )
=> ( X_1311 = X_1312 ) )
& ! [X_1313: $int,X_1314: $int] :
( ( mem0(X_1314,g_s339_330)
& mem0(X_1313,g_s335_326) )
<=> ? [X_1315: $int] : mem7(X_1314,X_1313,X_1315,X_1305) )
& ! [X_1316: $int] :
( ? [X_1317: $int,X_1318: $int] : mem7(X_1318,X_1317,X_1316,X_1305)
=> mem0(X_1316,g_s665_656) ) ) ).
tff('Define:ctx:1224',axiom,
? [X_1319: set_7] :
( ! [X_1320: $int,X_1321: $int,X_1322: $int] :
( mem7(X_1322,X_1321,X_1320,X_1319)
<=> mem7(X_1322,X_1321,X_1320,g_s889_880) )
& ! [X_1323: $int,X_1324: $int,X_1325: $int,X_1326: $int] :
( ( mem7(X_1324,X_1323,X_1325,X_1319)
& mem7(X_1324,X_1323,X_1326,X_1319) )
=> ( X_1325 = X_1326 ) )
& ! [X_1327: $int,X_1328: $int] :
( ( mem0(X_1328,g_s662_653)
& mem0(X_1327,g_s460_451) )
<=> ? [X_1329: $int] : mem7(X_1328,X_1327,X_1329,X_1319) )
& ! [X_1330: $int] :
( ? [X_1331: $int,X_1332: $int] : mem7(X_1332,X_1331,X_1330,X_1319)
=> mem0(X_1330,g_s666_657) ) ) ).
tff('Define:ctx:1225',axiom,
? [X_1333: set_2] :
( ! [X_1334: $int,X_1335: $int] :
( mem2(X_1335,X_1334,X_1333)
<=> mem2(X_1335,X_1334,g_s890_881) )
& ! [X_1336: $int,X_1337: $int,X_1338: $int] :
( ( mem2(X_1336,X_1337,X_1333)
& mem2(X_1336,X_1338,X_1333) )
=> ( X_1337 = X_1338 ) )
& ! [X_1339: $int] :
( mem0(X_1339,g_s662_653)
<=> ? [X_1340: $int] : mem2(X_1339,X_1340,X_1333) )
& ! [X_1341: $int] :
( ? [X_1342: $int] : mem2(X_1342,X_1341,X_1333)
=> mem0(X_1341,g_s699_690) ) ) ).
tff('Define:ctx:1226',axiom,
? [X_1343: set_2] :
( ! [X_1344: $int,X_1345: $int] :
( mem2(X_1345,X_1344,X_1343)
<=> mem2(X_1345,X_1344,g_s891_882) )
& ! [X_1346: $int,X_1347: $int,X_1348: $int] :
( ( mem2(X_1346,X_1347,X_1343)
& mem2(X_1346,X_1348,X_1343) )
=> ( X_1347 = X_1348 ) )
& ! [X_1349: $int] :
( mem0(X_1349,g_s339_330)
<=> ? [X_1350: $int] : mem2(X_1349,X_1350,X_1343) )
& ! [X_1351: $int] :
( ? [X_1352: $int] : mem2(X_1352,X_1351,X_1343)
=> mem0(X_1351,g_s700_691) ) ) ).
tff('Define:ctx:1227',axiom,
? [X_1353: set_2] :
( ! [X_1354: $int,X_1355: $int] :
( mem2(X_1355,X_1354,X_1353)
<=> mem2(X_1355,X_1354,g_s892_883) )
& ! [X_1356: $int,X_1357: $int,X_1358: $int] :
( ( mem2(X_1356,X_1357,X_1353)
& mem2(X_1356,X_1358,X_1353) )
=> ( X_1357 = X_1358 ) )
& ! [X_1359: $int] :
( mem0(X_1359,g_s662_653)
<=> ? [X_1360: $int] : mem2(X_1359,X_1360,X_1353) )
& ! [X_1361: $int] :
( ? [X_1362: $int] : mem2(X_1362,X_1361,X_1353)
=> mem0(X_1361,g_s700_691) ) ) ).
tff('Define:ctx:1228',axiom,
? [X_1363: set_2] :
( ! [X_1364: $int,X_1365: $int] :
( mem2(X_1365,X_1364,X_1363)
<=> mem2(X_1365,X_1364,g_s893_884) )
& ! [X_1366: $int,X_1367: $int,X_1368: $int] :
( ( mem2(X_1366,X_1367,X_1363)
& mem2(X_1366,X_1368,X_1363) )
=> ( X_1367 = X_1368 ) )
& ! [X_1369: $int] :
( mem0(X_1369,g_s339_330)
<=> ? [X_1370: $int] : mem2(X_1369,X_1370,X_1363) )
& ! [X_1371: $int] :
( ? [X_1372: $int] : mem2(X_1372,X_1371,X_1363)
=> mem0(X_1371,g_s665_656) ) ) ).
tff('Define:ctx:1229',axiom,
? [X_1373: set_2] :
( ! [X_1374: $int,X_1375: $int] :
( mem2(X_1375,X_1374,X_1373)
<=> mem2(X_1375,X_1374,g_s894_885) )
& ! [X_1376: $int,X_1377: $int,X_1378: $int] :
( ( mem2(X_1376,X_1377,X_1373)
& mem2(X_1376,X_1378,X_1373) )
=> ( X_1377 = X_1378 ) )
& ! [X_1379: $int] :
( mem0(X_1379,g_s662_653)
<=> ? [X_1380: $int] : mem2(X_1379,X_1380,X_1373) )
& ! [X_1381: $int] :
( ? [X_1382: $int] : mem2(X_1382,X_1381,X_1373)
=> mem0(X_1381,g_s666_657) ) ) ).
tff('Define:ctx:123',axiom,
! [X_461: $o,X_462: $int,X_463: $int] :
( mem6(X_463,X_462,(X_461),g_s309_304)
<=> mem6(X_463,X_462,(X_461),g_s307_302) ) ).
tff('Define:ctx:1230',axiom,
? [X_1383: set_2] :
( ! [X_1384: $int,X_1385: $int] :
( mem2(X_1385,X_1384,X_1383)
<=> mem2(X_1385,X_1384,g_s895_886) )
& ! [X_1386: $int,X_1387: $int,X_1388: $int] :
( ( mem2(X_1386,X_1387,X_1383)
& mem2(X_1386,X_1388,X_1383) )
=> ( X_1387 = X_1388 ) )
& ! [X_1389: $int] :
( mem0(X_1389,g_s339_330)
<=> ? [X_1390: $int] : mem2(X_1389,X_1390,X_1383) )
& ! [X_1391: $int] :
( ? [X_1392: $int] : mem2(X_1392,X_1391,X_1383)
=> mem0(X_1391,g_s697_688) ) ) ).
tff('Define:ctx:1231',axiom,
? [X_1393: set_2] :
( ! [X_1394: $int,X_1395: $int] :
( mem2(X_1395,X_1394,X_1393)
<=> mem2(X_1395,X_1394,g_s896_887) )
& ! [X_1396: $int,X_1397: $int,X_1398: $int] :
( ( mem2(X_1396,X_1397,X_1393)
& mem2(X_1396,X_1398,X_1393) )
=> ( X_1397 = X_1398 ) )
& ! [X_1399: $int] :
( mem0(X_1399,g_s339_330)
<=> ? [X_1400: $int] : mem2(X_1399,X_1400,X_1393) )
& ! [X_1401: $int] :
( ? [X_1402: $int] : mem2(X_1402,X_1401,X_1393)
=> mem0(X_1401,g_s665_656) ) ) ).
tff('Define:ctx:1232',axiom,
? [X_1403: set_2] :
( ! [X_1404: $int,X_1405: $int] :
( mem2(X_1405,X_1404,X_1403)
<=> mem2(X_1405,X_1404,g_s897_888) )
& ! [X_1406: $int,X_1407: $int,X_1408: $int] :
( ( mem2(X_1406,X_1407,X_1403)
& mem2(X_1406,X_1408,X_1403) )
=> ( X_1407 = X_1408 ) )
& ! [X_1409: $int] :
( mem0(X_1409,g_s698_689)
<=> ? [X_1410: $int] : mem2(X_1409,X_1410,X_1403) )
& ! [X_1411: $int] :
( ? [X_1412: $int] : mem2(X_1412,X_1411,X_1403)
=> mem0(X_1411,g_s329_320) ) ) ).
tff('Define:ctx:1233',axiom,
? [X_1413: set_2] :
( ! [X_1414: $int,X_1415: $int] :
( mem2(X_1415,X_1414,X_1413)
<=> mem2(X_1415,X_1414,g_s898_889) )
& ! [X_1416: $int,X_1417: $int,X_1418: $int] :
( ( mem2(X_1416,X_1417,X_1413)
& mem2(X_1416,X_1418,X_1413) )
=> ( X_1417 = X_1418 ) )
& ! [X_1419: $int] :
( mem0(X_1419,g_s698_689)
<=> ? [X_1420: $int] : mem2(X_1419,X_1420,X_1413) )
& ! [X_1421: $int] :
( ? [X_1422: $int] : mem2(X_1422,X_1421,X_1413)
=> mem0(X_1421,g_s335_326) ) ) ).
tff('Define:ctx:1234',axiom,
? [X_1423: set_2] :
( ! [X_1424: $int,X_1425: $int] :
( mem2(X_1425,X_1424,X_1423)
<=> mem2(X_1425,X_1424,g_s899_890) )
& ! [X_1426: $int,X_1427: $int,X_1428: $int] :
( ( mem2(X_1426,X_1427,X_1423)
& mem2(X_1426,X_1428,X_1423) )
=> ( X_1427 = X_1428 ) )
& ! [X_1429: $int] :
( mem0(X_1429,g_s699_690)
<=> ? [X_1430: $int] : mem2(X_1429,X_1430,X_1423) )
& ! [X_1431: $int] :
( ? [X_1432: $int] : mem2(X_1432,X_1431,X_1423)
=> mem0(X_1431,g_s655_646) ) ) ).
tff('Define:ctx:1235',axiom,
? [X_1433: set_2] :
( ! [X_1434: $int,X_1435: $int] :
( mem2(X_1435,X_1434,X_1433)
<=> mem2(X_1435,X_1434,g_s900_891) )
& ! [X_1436: $int,X_1437: $int,X_1438: $int] :
( ( mem2(X_1436,X_1437,X_1433)
& mem2(X_1436,X_1438,X_1433) )
=> ( X_1437 = X_1438 ) )
& ! [X_1439: $int] :
( mem0(X_1439,g_s699_690)
<=> ? [X_1440: $int] : mem2(X_1439,X_1440,X_1433) )
& ! [X_1441: $int] :
( ? [X_1442: $int] : mem2(X_1442,X_1441,X_1433)
=> mem0(X_1441,g_s460_451) ) ) ).
tff('Define:ctx:1236',axiom,
? [X_1443: set_2] :
( ! [X_1444: $int,X_1445: $int] :
( mem2(X_1445,X_1444,X_1443)
<=> mem2(X_1445,X_1444,g_s901_892) )
& ! [X_1446: $int,X_1447: $int,X_1448: $int] :
( ( mem2(X_1446,X_1447,X_1443)
& mem2(X_1446,X_1448,X_1443) )
=> ( X_1447 = X_1448 ) )
& ! [X_1449: $int] :
( mem0(X_1449,g_s698_689)
<=> ? [X_1450: $int] : mem2(X_1449,X_1450,X_1443) )
& ! [X_1451: $int] :
( ? [X_1452: $int] : mem2(X_1452,X_1451,X_1443)
=> mem0(X_1451,g_s449_440) ) ) ).
tff('Define:ctx:1237',axiom,
? [X_1453: set_2] :
( ! [X_1454: $int,X_1455: $int] :
( mem2(X_1455,X_1454,X_1453)
<=> mem2(X_1455,X_1454,g_s902_893) )
& ! [X_1456: $int,X_1457: $int,X_1458: $int] :
( ( mem2(X_1456,X_1457,X_1453)
& mem2(X_1456,X_1458,X_1453) )
=> ( X_1457 = X_1458 ) )
& ! [X_1459: $int] :
( mem0(X_1459,g_s699_690)
<=> ? [X_1460: $int] : mem2(X_1459,X_1460,X_1453) )
& ! [X_1461: $int] :
( ? [X_1462: $int] : mem2(X_1462,X_1461,X_1453)
=> mem0(X_1461,g_s450_441) ) ) ).
tff('Define:ctx:1238',axiom,
? [X_1463: set_2] :
( ! [X_1464: $int,X_1465: $int] :
( mem2(X_1465,X_1464,X_1463)
<=> mem2(X_1465,X_1464,g_s903_894) )
& ! [X_1466: $int,X_1467: $int,X_1468: $int] :
( ( mem2(X_1466,X_1467,X_1463)
& mem2(X_1466,X_1468,X_1463) )
=> ( X_1467 = X_1468 ) )
& ! [X_1469: $int] :
( mem0(X_1469,g_s698_689)
<=> ? [X_1470: $int] : mem2(X_1469,X_1470,X_1463) )
& ! [X_1471: $int] :
( ? [X_1472: $int] : mem2(X_1472,X_1471,X_1463)
=> mem0(X_1471,g_s449_440) ) ) ).
tff('Define:ctx:1239',axiom,
? [X_1473: set_2] :
( ! [X_1474: $int,X_1475: $int] :
( mem2(X_1475,X_1474,X_1473)
<=> mem2(X_1475,X_1474,g_s904_895) )
& ! [X_1476: $int,X_1477: $int,X_1478: $int] :
( ( mem2(X_1476,X_1477,X_1473)
& mem2(X_1476,X_1478,X_1473) )
=> ( X_1477 = X_1478 ) )
& ! [X_1479: $int] :
( mem0(X_1479,g_s699_690)
<=> ? [X_1480: $int] : mem2(X_1479,X_1480,X_1473) )
& ! [X_1481: $int] :
( ? [X_1482: $int] : mem2(X_1482,X_1481,X_1473)
=> mem0(X_1481,g_s450_441) ) ) ).
tff('Define:ctx:124',axiom,
? [X_464: set_6] :
( ! [X_465: $o,X_466: $int,X_467: $int] :
( mem6(X_467,X_466,(X_465),X_464)
<=> mem6(X_467,X_466,(X_465),g_s310_305) )
& ! [X_468: $int,X_469: $int,X_470: $o,X_471: $o] :
( ( mem6(X_469,X_468,(X_470),X_464)
& mem6(X_469,X_468,(X_471),X_464) )
=> ( (X_470)
<=> (X_471) ) )
& ! [X_472: $int,X_473: $int] :
( ( mem0(X_473,g_s243_243)
& mem0(X_472,g_s243_243) )
<=> ? [X_474: $o] : mem6(X_473,X_472,(X_474),X_464) )
& ! [X_475: $o] :
( ? [X_476: $int,X_477: $int] : mem6(X_477,X_476,(X_475),X_464)
=> $true ) ) ).
tff('Define:ctx:1240',axiom,
? [X_1483: set_2] :
( ! [X_1484: $int,X_1485: $int] :
( mem2(X_1485,X_1484,X_1483)
<=> mem2(X_1485,X_1484,g_s905_896) )
& ! [X_1486: $int,X_1487: $int,X_1488: $int] :
( ( mem2(X_1486,X_1487,X_1483)
& mem2(X_1486,X_1488,X_1483) )
=> ( X_1487 = X_1488 ) )
& ! [X_1489: $int] :
( mem0(X_1489,g_s697_688)
<=> ? [X_1490: $int] : mem2(X_1489,X_1490,X_1483) )
& ! [X_1491: $int] :
( ? [X_1492: $int] : mem2(X_1492,X_1491,X_1483)
=> mem0(X_1491,g_s333_324) ) ) ).
tff('Define:ctx:1241',axiom,
? [X_1493: set_2] :
( ! [X_1494: $int,X_1495: $int] :
( mem2(X_1495,X_1494,X_1493)
<=> mem2(X_1495,X_1494,g_s906_897) )
& ! [X_1496: $int,X_1497: $int,X_1498: $int] :
( ( mem2(X_1496,X_1497,X_1493)
& mem2(X_1496,X_1498,X_1493) )
=> ( X_1497 = X_1498 ) )
& ! [X_1499: $int] :
( mem0(X_1499,g_s697_688)
<=> ? [X_1500: $int] : mem2(X_1499,X_1500,X_1493) )
& ! [X_1501: $int] :
( ? [X_1502: $int] : mem2(X_1502,X_1501,X_1493)
=> mem0(X_1501,g_s335_326) ) ) ).
tff('Define:ctx:1242',axiom,
? [X_1503: set_2] :
( ! [X_1504: $int,X_1505: $int] :
( mem2(X_1505,X_1504,X_1503)
<=> mem2(X_1505,X_1504,g_s907_898) )
& ! [X_1506: $int,X_1507: $int,X_1508: $int] :
( ( mem2(X_1506,X_1507,X_1503)
& mem2(X_1506,X_1508,X_1503) )
=> ( X_1507 = X_1508 ) )
& ! [X_1509: $int] :
( mem0(X_1509,g_s700_691)
<=> ? [X_1510: $int] : mem2(X_1509,X_1510,X_1503) )
& ! [X_1511: $int] :
( ? [X_1512: $int] : mem2(X_1512,X_1511,X_1503)
=> mem0(X_1511,g_s339_330) ) ) ).
tff('Define:ctx:1243',axiom,
? [X_1513: set_2] :
( ! [X_1514: $int,X_1515: $int] :
( mem2(X_1515,X_1514,X_1513)
<=> mem2(X_1515,X_1514,g_s908_899) )
& ! [X_1516: $int,X_1517: $int,X_1518: $int] :
( ( mem2(X_1516,X_1517,X_1513)
& mem2(X_1516,X_1518,X_1513) )
=> ( X_1517 = X_1518 ) )
& ! [X_1519: $int] :
( mem0(X_1519,g_s701_692)
<=> ? [X_1520: $int] : mem2(X_1519,X_1520,X_1513) )
& ! [X_1521: $int] :
( ? [X_1522: $int] : mem2(X_1522,X_1521,X_1513)
=> mem0(X_1521,g_s662_653) ) ) ).
tff('Define:ctx:1244',axiom,
? [X_1523: set_2] :
( ! [X_1524: $int,X_1525: $int] :
( mem2(X_1525,X_1524,X_1523)
<=> mem2(X_1525,X_1524,g_s909_900) )
& ! [X_1526: $int,X_1527: $int,X_1528: $int] :
( ( mem2(X_1526,X_1527,X_1523)
& mem2(X_1526,X_1528,X_1523) )
=> ( X_1527 = X_1528 ) )
& ! [X_1529: $int] :
( mem0(X_1529,g_s700_691)
<=> ? [X_1530: $int] : mem2(X_1529,X_1530,X_1523) )
& ! [X_1531: $int] :
( ? [X_1532: $int] : mem2(X_1532,X_1531,X_1523)
=> mem0(X_1531,g_s335_326) ) ) ).
tff('Define:ctx:1245',axiom,
? [X_1533: set_2] :
( ! [X_1534: $int,X_1535: $int] :
( mem2(X_1535,X_1534,X_1533)
<=> mem2(X_1535,X_1534,g_s910_901) )
& ! [X_1536: $int,X_1537: $int,X_1538: $int] :
( ( mem2(X_1536,X_1537,X_1533)
& mem2(X_1536,X_1538,X_1533) )
=> ( X_1537 = X_1538 ) )
& ! [X_1539: $int] :
( mem0(X_1539,g_s701_692)
<=> ? [X_1540: $int] : mem2(X_1539,X_1540,X_1533) )
& ! [X_1541: $int] :
( ? [X_1542: $int] : mem2(X_1542,X_1541,X_1533)
=> mem0(X_1541,g_s460_451) ) ) ).
tff('Define:ctx:1246',axiom,
? [X_1543: set_2] :
( ! [X_1544: $int,X_1545: $int] :
( mem2(X_1545,X_1544,X_1543)
<=> mem2(X_1545,X_1544,g_s911_902) )
& ! [X_1546: $int,X_1547: $int,X_1548: $int] :
( ( mem2(X_1546,X_1547,X_1543)
& mem2(X_1546,X_1548,X_1543) )
=> ( X_1547 = X_1548 ) )
& ! [X_1549: $int] :
( mem0(X_1549,g_s700_691)
<=> ? [X_1550: $int] : mem2(X_1549,X_1550,X_1543) )
& ! [X_1551: $int] :
( ? [X_1552: $int] : mem2(X_1552,X_1551,X_1543)
=> mem0(X_1551,g_s237_237) ) ) ).
tff('Define:ctx:1247',axiom,
? [X_1553: set_2] :
( ! [X_1554: $int,X_1555: $int] :
( mem2(X_1555,X_1554,X_1553)
<=> mem2(X_1555,X_1554,g_s912_903) )
& ! [X_1556: $int,X_1557: $int,X_1558: $int] :
( ( mem2(X_1556,X_1557,X_1553)
& mem2(X_1556,X_1558,X_1553) )
=> ( X_1557 = X_1558 ) )
& ! [X_1559: $int] :
( mem0(X_1559,g_s701_692)
<=> ? [X_1560: $int] : mem2(X_1559,X_1560,X_1553) )
& ! [X_1561: $int] :
( ? [X_1562: $int] : mem2(X_1562,X_1561,X_1553)
=> mem0(X_1561,g_s881_872) ) ) ).
tff('Define:ctx:1248',axiom,
? [X_1563: set_2] :
( ! [X_1564: $int,X_1565: $int] :
( mem2(X_1565,X_1564,X_1563)
<=> mem2(X_1565,X_1564,g_s913_904) )
& ! [X_1566: $int,X_1567: $int,X_1568: $int] :
( ( mem2(X_1566,X_1567,X_1563)
& mem2(X_1566,X_1568,X_1563) )
=> ( X_1567 = X_1568 ) )
& ! [X_1569: $int] :
( mem0(X_1569,g_s700_691)
<=> ? [X_1570: $int] : mem2(X_1569,X_1570,X_1563) )
& ! [X_1571: $int] :
( ? [X_1572: $int] : mem2(X_1572,X_1571,X_1563)
=> mem0(X_1571,g_s451_442) ) ) ).
tff('Define:ctx:1249',axiom,
? [X_1573: set_2] :
( ! [X_1574: $int,X_1575: $int] :
( mem2(X_1575,X_1574,X_1573)
<=> mem2(X_1575,X_1574,g_s914_905) )
& ! [X_1576: $int,X_1577: $int,X_1578: $int] :
( ( mem2(X_1576,X_1577,X_1573)
& mem2(X_1576,X_1578,X_1573) )
=> ( X_1577 = X_1578 ) )
& ! [X_1579: $int] :
( mem0(X_1579,g_s701_692)
<=> ? [X_1580: $int] : mem2(X_1579,X_1580,X_1573) )
& ! [X_1581: $int] :
( ? [X_1582: $int] : mem2(X_1582,X_1581,X_1573)
=> mem0(X_1581,g_s450_441) ) ) ).
tff('Define:ctx:125',axiom,
! [X_478: $o,X_479: $int,X_480: $int] :
( mem6(X_480,X_479,(X_478),g_s310_305)
<=> ( mem0(X_480,g_s243_243)
& mem0(X_479,g_s243_243)
& ( (X_478)
<=> ( X_480 != X_479 ) ) ) ) ).
tff('Define:ctx:1250',axiom,
? [X_1583: set_2] :
( ! [X_1584: $int,X_1585: $int] :
( mem2(X_1585,X_1584,X_1583)
<=> mem2(X_1585,X_1584,g_s915_906) )
& ! [X_1586: $int,X_1587: $int,X_1588: $int] :
( ( mem2(X_1586,X_1587,X_1583)
& mem2(X_1586,X_1588,X_1583) )
=> ( X_1587 = X_1588 ) )
& ! [X_1589: $int] :
( mem0(X_1589,g_s700_691)
<=> ? [X_1590: $int] : mem2(X_1589,X_1590,X_1583) )
& ! [X_1591: $int] :
( ? [X_1592: $int] : mem2(X_1592,X_1591,X_1583)
=> mem0(X_1591,g_s451_442) ) ) ).
tff('Define:ctx:1251',axiom,
? [X_1593: set_2] :
( ! [X_1594: $int,X_1595: $int] :
( mem2(X_1595,X_1594,X_1593)
<=> mem2(X_1595,X_1594,g_s916_907) )
& ! [X_1596: $int,X_1597: $int,X_1598: $int] :
( ( mem2(X_1596,X_1597,X_1593)
& mem2(X_1596,X_1598,X_1593) )
=> ( X_1597 = X_1598 ) )
& ! [X_1599: $int] :
( mem0(X_1599,g_s701_692)
<=> ? [X_1600: $int] : mem2(X_1599,X_1600,X_1593) )
& ! [X_1601: $int] :
( ? [X_1602: $int] : mem2(X_1602,X_1601,X_1593)
=> mem0(X_1601,g_s450_441) ) ) ).
tff('Define:ctx:1252',axiom,
? [X_1603: set_8] :
( ! [X_1604: set_2,X_1605: $int,X_1606: $int] :
( mem8(X_1606,X_1605,X_1604,X_1603)
<=> mem8(X_1606,X_1605,X_1604,g_s917_908) )
& ! [X_1607: $int,X_1608: $int,X_1609: set_2,X_1610: set_2] :
( ( mem8(X_1608,X_1607,X_1609,X_1603)
& mem8(X_1608,X_1607,X_1610,X_1603) )
=> ! [X_1611: $int,X_1612: $int] :
( mem2(X_1612,X_1611,X_1609)
<=> mem2(X_1612,X_1611,X_1610) ) )
& ! [X_1613: $int,X_1614: $int] :
( ( mem0(X_1614,g_s339_330)
& mem0(X_1613,g_s335_326) )
<=> ? [X_1615: set_2] : mem8(X_1614,X_1613,X_1615,X_1603) )
& ! [X_1616: set_2] :
( ? [X_1617: $int,X_1618: $int] : mem8(X_1618,X_1617,X_1616,X_1603)
=> ? [X_1619: $int,X_1620: set_2] :
( ! [X_1621: $int,X_1622: $int] :
( mem2(X_1622,X_1621,X_1620)
<=> mem2(X_1622,X_1621,X_1616) )
& ! [X_1623: $int,X_1624: $int,X_1625: $int] :
( ( mem2(X_1623,X_1624,X_1620)
& mem2(X_1623,X_1625,X_1620) )
=> ( X_1624 = X_1625 ) )
& ! [X_1626: $int] :
( ( $greatereq(X_1626,1)
& $lesseq(X_1626,X_1619) )
<=> ? [X_1627: $int] : mem2(X_1626,X_1627,X_1620) )
& ! [X_1628: $int] :
( ? [X_1629: $int] : mem2(X_1629,X_1628,X_1620)
=> mem0(X_1628,g_s698_689) ) ) ) ) ).
tff('Define:ctx:1253',axiom,
? [X_1630: set_8] :
( ! [X_1631: set_2,X_1632: $int,X_1633: $int] :
( mem8(X_1633,X_1632,X_1631,X_1630)
<=> mem8(X_1633,X_1632,X_1631,g_s918_909) )
& ! [X_1634: $int,X_1635: $int,X_1636: set_2,X_1637: set_2] :
( ( mem8(X_1635,X_1634,X_1636,X_1630)
& mem8(X_1635,X_1634,X_1637,X_1630) )
=> ! [X_1638: $int,X_1639: $int] :
( mem2(X_1639,X_1638,X_1636)
<=> mem2(X_1639,X_1638,X_1637) ) )
& ! [X_1640: $int,X_1641: $int] :
( ( mem0(X_1641,g_s662_653)
& mem0(X_1640,g_s460_451) )
<=> ? [X_1642: set_2] : mem8(X_1641,X_1640,X_1642,X_1630) )
& ! [X_1643: set_2] :
( ? [X_1644: $int,X_1645: $int] : mem8(X_1645,X_1644,X_1643,X_1630)
=> ? [X_1646: $int,X_1647: set_2] :
( ! [X_1648: $int,X_1649: $int] :
( mem2(X_1649,X_1648,X_1647)
<=> mem2(X_1649,X_1648,X_1643) )
& ! [X_1650: $int,X_1651: $int,X_1652: $int] :
( ( mem2(X_1650,X_1651,X_1647)
& mem2(X_1650,X_1652,X_1647) )
=> ( X_1651 = X_1652 ) )
& ! [X_1653: $int] :
( ( $greatereq(X_1653,1)
& $lesseq(X_1653,X_1646) )
<=> ? [X_1654: $int] : mem2(X_1653,X_1654,X_1647) )
& ! [X_1655: $int] :
( ? [X_1656: $int] : mem2(X_1656,X_1655,X_1647)
=> mem0(X_1655,g_s699_690) ) ) ) ) ).
tff('Define:ctx:1254',axiom,
? [X_1657: set_9] :
( ! [X_1658: set_2,X_1659: $int] :
( mem9(X_1659,X_1658,X_1657)
<=> mem9(X_1659,X_1658,g_s919_910) )
& ! [X_1660: $int,X_1661: set_2,X_1662: set_2] :
( ( mem9(X_1660,X_1661,X_1657)
& mem9(X_1660,X_1662,X_1657) )
=> ! [X_1663: $int,X_1664: $int] :
( mem2(X_1664,X_1663,X_1661)
<=> mem2(X_1664,X_1663,X_1662) ) )
& ! [X_1665: $int] :
( mem0(X_1665,g_s339_330)
<=> ? [X_1666: set_2] : mem9(X_1665,X_1666,X_1657) )
& ! [X_1667: set_2] :
( ? [X_1668: $int] : mem9(X_1668,X_1667,X_1657)
=> ? [X_1669: $int,X_1670: set_2] :
( ! [X_1671: $int,X_1672: $int] :
( mem2(X_1672,X_1671,X_1670)
<=> mem2(X_1672,X_1671,X_1667) )
& ! [X_1673: $int,X_1674: $int,X_1675: $int] :
( ( mem2(X_1673,X_1674,X_1670)
& mem2(X_1673,X_1675,X_1670) )
=> ( X_1674 = X_1675 ) )
& ! [X_1676: $int] :
( ( $greatereq(X_1676,1)
& $lesseq(X_1676,X_1669) )
<=> ? [X_1677: $int] : mem2(X_1676,X_1677,X_1670) )
& ! [X_1678: $int] :
( ? [X_1679: $int] : mem2(X_1679,X_1678,X_1670)
=> mem0(X_1678,g_s700_691) ) ) ) ) ).
tff('Define:ctx:1255',axiom,
? [X_1680: set_9] :
( ! [X_1681: set_2,X_1682: $int] :
( mem9(X_1682,X_1681,X_1680)
<=> mem9(X_1682,X_1681,g_s920_911) )
& ! [X_1683: $int,X_1684: set_2,X_1685: set_2] :
( ( mem9(X_1683,X_1684,X_1680)
& mem9(X_1683,X_1685,X_1680) )
=> ! [X_1686: $int,X_1687: $int] :
( mem2(X_1687,X_1686,X_1684)
<=> mem2(X_1687,X_1686,X_1685) ) )
& ! [X_1688: $int] :
( mem0(X_1688,g_s662_653)
<=> ? [X_1689: set_2] : mem9(X_1688,X_1689,X_1680) )
& ! [X_1690: set_2] :
( ? [X_1691: $int] : mem9(X_1691,X_1690,X_1680)
=> ? [X_1692: $int,X_1693: set_2] :
( ! [X_1694: $int,X_1695: $int] :
( mem2(X_1695,X_1694,X_1693)
<=> mem2(X_1695,X_1694,X_1690) )
& ! [X_1696: $int,X_1697: $int,X_1698: $int] :
( ( mem2(X_1696,X_1697,X_1693)
& mem2(X_1696,X_1698,X_1693) )
=> ( X_1697 = X_1698 ) )
& ! [X_1699: $int] :
( ( $greatereq(X_1699,1)
& $lesseq(X_1699,X_1692) )
<=> ? [X_1700: $int] : mem2(X_1699,X_1700,X_1693) )
& ! [X_1701: $int] :
( ? [X_1702: $int] : mem2(X_1702,X_1701,X_1693)
=> mem0(X_1701,g_s701_692) ) ) ) ) ).
tff('Define:ctx:1256',axiom,
? [X_1703: set_9] :
( ! [X_1704: set_2,X_1705: $int] :
( mem9(X_1705,X_1704,X_1703)
<=> mem9(X_1705,X_1704,g_s921_912) )
& ! [X_1706: $int,X_1707: set_2,X_1708: set_2] :
( ( mem9(X_1706,X_1707,X_1703)
& mem9(X_1706,X_1708,X_1703) )
=> ! [X_1709: $int,X_1710: $int] :
( mem2(X_1710,X_1709,X_1707)
<=> mem2(X_1710,X_1709,X_1708) ) )
& ! [X_1711: $int] :
( mem0(X_1711,g_s339_330)
<=> ? [X_1712: set_2] : mem9(X_1711,X_1712,X_1703) )
& ! [X_1713: set_2] :
( ? [X_1714: $int] : mem9(X_1714,X_1713,X_1703)
=> ? [X_1715: $int,X_1716: set_2] :
( ! [X_1717: $int,X_1718: $int] :
( mem2(X_1718,X_1717,X_1716)
<=> mem2(X_1718,X_1717,X_1713) )
& ! [X_1719: $int,X_1720: $int,X_1721: $int] :
( ( mem2(X_1719,X_1720,X_1716)
& mem2(X_1719,X_1721,X_1716) )
=> ( X_1720 = X_1721 ) )
& ! [X_1722: $int] :
( ( $greatereq(X_1722,1)
& $lesseq(X_1722,X_1715) )
<=> ? [X_1723: $int] : mem2(X_1722,X_1723,X_1716) )
& ! [X_1724: $int] :
( ? [X_1725: $int] : mem2(X_1725,X_1724,X_1716)
=> mem0(X_1724,g_s697_688) ) ) ) ) ).
tff('Define:ctx:1257',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ! [X_1726: $int] :
( ! [X_1727: $int,X_1728: $int] :
( ( mem2(L_s922,X_1727,g_s891_882)
& mem2(L_s922,X_1728,g_s893_884) )
=> ( X_1726 = $sum(X_1727,X_1728) ) )
=> mem0(X_1726,g_s700_691) ) ) ).
tff('Define:ctx:1258',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s662_653)
=> ! [X_1729: $int] :
( ! [X_1730: $int,X_1731: $int] :
( ( mem2(L_s922,X_1730,g_s892_883)
& mem2(L_s922,X_1731,g_s894_885) )
=> ( X_1729 = $sum(X_1730,X_1731) ) )
=> mem0(X_1729,g_s701_692) ) ) ).
tff('Define:ctx:1259',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ! [X_1732: $int] :
( ! [X_1733: $int,X_1734: $int,X_1735: $int] :
( ( mem2(L_s922,X_1733,g_s891_882)
& mem2(L_s922,X_1734,g_s891_882)
& mem2(L_s922,X_1735,g_s893_884) )
=> ( $greatereq(X_1732,X_1733)
& $lesseq(X_1732,$difference($sum(X_1734,X_1735),1)) ) )
=> mem0(X_1732,g_s700_691) ) ) ).
tff('Define:ctx:126',axiom,
? [X_481: set_6] :
( ! [X_482: $o,X_483: $int,X_484: $int] :
( mem6(X_484,X_483,(X_482),X_481)
<=> mem6(X_484,X_483,(X_482),g_s311_306) )
& ! [X_485: $int,X_486: $int,X_487: $o,X_488: $o] :
( ( mem6(X_486,X_485,(X_487),X_481)
& mem6(X_486,X_485,(X_488),X_481) )
=> ( (X_487)
<=> (X_488) ) )
& ! [X_489: $int,X_490: $int] :
( ( mem0(X_490,g_s243_243)
& mem0(X_489,g_s243_243) )
<=> ? [X_491: $o] : mem6(X_490,X_489,(X_491),X_481) )
& ! [X_492: $o] :
( ? [X_493: $int,X_494: $int] : mem6(X_494,X_493,(X_492),X_481)
=> $true ) ) ).
tff('Define:ctx:1260',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s662_653)
=> ! [X_1736: $int] :
( ! [X_1737: $int,X_1738: $int,X_1739: $int] :
( ( mem2(L_s922,X_1737,g_s892_883)
& mem2(L_s922,X_1738,g_s892_883)
& mem2(L_s922,X_1739,g_s894_885) )
=> ( $greatereq(X_1736,X_1737)
& $lesseq(X_1736,$difference($sum(X_1738,X_1739),1)) ) )
=> mem0(X_1736,g_s701_692) ) ) ).
tff('Define:ctx:1261',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s339_330)
& mem0(L_s923,g_s335_326) )
=> ! [X_1740: $int] :
( ! [X_1741: $int,X_1742: $int] :
( ( mem7(L_s922,L_s923,X_1741,g_s886_877)
& mem7(L_s922,L_s923,X_1742,g_s888_879) )
=> ( X_1740 = $sum(X_1741,X_1742) ) )
=> mem0(X_1740,g_s698_689) ) ) ).
tff('Define:ctx:1262',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ! [X_1743: $int,X_1744: $int,X_1745: $int] :
( ( mem7(L_s922,g_s6_6,X_1743,g_s886_877)
& mem7(L_s922,g_s6_6,X_1744,g_s888_879)
& mem7(L_s922,g_s7_7,X_1745,g_s886_877) )
=> $lesseq($sum(X_1743,X_1744),X_1745) ) ) ).
tff('Define:ctx:1263',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s662_653)
& mem0(L_s923,g_s460_451) )
=> ! [X_1746: $int] :
( ! [X_1747: $int,X_1748: $int] :
( ( mem7(L_s922,L_s923,X_1747,g_s887_878)
& mem7(L_s922,L_s923,X_1748,g_s889_880) )
=> ( X_1746 = $sum(X_1747,X_1748) ) )
=> mem0(X_1746,g_s699_690) ) ) ).
tff('Define:ctx:1264',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s662_653)
=> ! [X_1749: $int,X_1750: $int,X_1751: $int] :
( ( mem7(L_s922,g_s6_6,X_1749,g_s887_878)
& mem7(L_s922,g_s6_6,X_1750,g_s889_880)
& mem7(L_s922,g_s7_7,X_1751,g_s887_878) )
=> $lesseq($sum(X_1749,X_1750),X_1751) ) ) ).
tff('Define:ctx:1265',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s339_330)
& mem0(L_s923,g_s335_326) )
=> ! [X_1752: $int] :
( ! [X_1753: $int,X_1754: $int,X_1755: $int] :
( ( mem7(L_s922,L_s923,X_1753,g_s886_877)
& mem7(L_s922,L_s923,X_1754,g_s886_877)
& mem7(L_s922,L_s923,X_1755,g_s888_879) )
=> ( $greatereq(X_1752,X_1753)
& $lesseq(X_1752,$difference($sum(X_1754,X_1755),1)) ) )
=> mem0(X_1752,g_s698_689) ) ) ).
tff('Define:ctx:1266',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s662_653)
& mem0(L_s923,g_s460_451) )
=> ! [X_1756: $int] :
( ! [X_1757: $int,X_1758: $int,X_1759: $int] :
( ( mem7(L_s922,L_s923,X_1757,g_s887_878)
& mem7(L_s922,L_s923,X_1758,g_s887_878)
& mem7(L_s922,L_s923,X_1759,g_s889_880) )
=> ( $greatereq(X_1756,X_1757)
& $lesseq(X_1756,$difference($sum(X_1758,X_1759),1)) ) )
=> mem0(X_1756,g_s699_690) ) ) ).
tff('Define:ctx:1267',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s662_653)
& mem0(L_s923,g_s460_451) )
=> ( ! [X_1760: $int] :
( ! [X_1761: $int,X_1762: $int] :
( ( mem7(L_s922,L_s923,X_1761,g_s887_878)
& mem2(L_s922,X_1762,g_s890_881) )
=> ( $greatereq(X_1760,X_1761)
& $lesseq(X_1760,$sum($uminus(1),X_1762)) ) )
=> mem0(X_1760,g_s699_690) )
& ! [X_1763: $int,X_1764: $int] :
( ( mem7(L_s922,L_s923,X_1763,g_s887_878)
& mem2(L_s922,X_1764,g_s890_881) )
=> $lesseq(X_1763,X_1764) ) ) ) ).
tff('Define:ctx:1268',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ! [X_1765: $int] :
( ! [X_1766: $int,X_1767: $int] :
( ( mem2(L_s922,X_1766,g_s895_886)
& mem2(L_s922,X_1767,g_s896_887) )
=> ( X_1765 = $sum(X_1766,X_1767) ) )
=> mem0(X_1765,g_s697_688) ) ) ).
tff('Define:ctx:1269',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ! [X_1768: $int] :
( ! [X_1769: $int,X_1770: $int,X_1771: $int] :
( ( mem2(L_s922,X_1769,g_s895_886)
& mem2(L_s922,X_1770,g_s895_886)
& mem2(L_s922,X_1771,g_s896_887) )
=> ( $greatereq(X_1768,X_1769)
& $lesseq(X_1768,$difference($sum(X_1770,X_1771),1)) ) )
=> mem0(X_1768,g_s697_688) ) ) ).
tff('Define:ctx:127',axiom,
! [X_495: $o,X_496: $int,X_497: $int] :
( mem6(X_497,X_496,(X_495),g_s311_306)
<=> mem6(X_497,X_496,(X_495),g_s310_305) ) ).
tff('Define:ctx:1270',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s339_330)
& mem0(L_s923,g_s335_326) )
=> ! [X_1772: $int] :
( mem7(L_s922,L_s923,X_1772,g_s888_879)
=> $lesseq(1,X_1772) ) ) ).
tff('Define:ctx:1271',axiom,
! [L_s922: $int,L_s923: $int] :
( ( mem0(L_s922,g_s662_653)
& mem0(L_s923,g_s460_451) )
=> ! [X_1773: $int] :
( mem7(L_s922,L_s923,X_1773,g_s889_880)
=> $lesseq(1,X_1773) ) ) ).
tff('Define:ctx:1272',axiom,
! [L_s922: $int,L_s924: $int,L_s925: $int,L_s923: $int] :
( ( mem0(L_s922,g_s339_330)
& mem0(L_s923,g_s335_326)
& ! [X_1774: $int,X_1775: $int,X_1776: $int] :
( ( mem7(L_s922,L_s923,X_1774,g_s886_877)
& mem7(L_s922,L_s923,X_1775,g_s886_877)
& mem7(L_s922,L_s923,X_1776,g_s888_879) )
=> ( $greatereq(L_s924,X_1774)
& $lesseq(L_s924,$difference($sum(X_1775,X_1776),1)) ) )
& ! [X_1777: $int,X_1778: $int,X_1779: $int] :
( ( mem7(L_s922,L_s923,X_1777,g_s886_877)
& mem7(L_s922,L_s923,X_1778,g_s886_877)
& mem7(L_s922,L_s923,X_1779,g_s888_879) )
=> ( $greatereq(L_s925,X_1777)
& $lesseq(L_s925,$difference($sum(X_1778,X_1779),1)) ) )
& ( L_s924 != L_s925 ) )
=> ~ ! [X_1780: $int] :
( mem2(L_s925,X_1780,g_s897_888)
=> mem2(L_s924,X_1780,g_s897_888) ) ) ).
tff('Define:ctx:1273',axiom,
! [L_s922: $int,L_s924: $int,L_s925: $int,L_s923: $int] :
( ( mem0(L_s922,g_s662_653)
& mem0(L_s923,g_s460_451)
& ! [X_1781: $int,X_1782: $int,X_1783: $int] :
( ( mem7(L_s922,L_s923,X_1781,g_s887_878)
& mem7(L_s922,L_s923,X_1782,g_s887_878)
& mem7(L_s922,L_s923,X_1783,g_s889_880) )
=> ( $greatereq(L_s924,X_1781)
& $lesseq(L_s924,$difference($sum(X_1782,X_1783),1)) ) )
& ! [X_1784: $int,X_1785: $int,X_1786: $int] :
( ( mem7(L_s922,L_s923,X_1784,g_s887_878)
& mem7(L_s922,L_s923,X_1785,g_s887_878)
& mem7(L_s922,L_s923,X_1786,g_s889_880) )
=> ( $greatereq(L_s925,X_1784)
& $lesseq(L_s925,$difference($sum(X_1785,X_1786),1)) ) )
& ( L_s924 != L_s925 ) )
=> ~ ! [X_1787: $int] :
( mem2(L_s925,X_1787,g_s899_890)
=> mem2(L_s924,X_1787,g_s899_890) ) ) ).
tff('Define:ctx:1274',axiom,
! [L_s922: $int,L_s924: $int,L_s925: $int] :
( ( mem0(L_s922,g_s339_330)
& ! [X_1788: $int,X_1789: $int,X_1790: $int] :
( ( mem2(L_s922,X_1788,g_s891_882)
& mem2(L_s922,X_1789,g_s891_882)
& mem2(L_s922,X_1790,g_s893_884) )
=> ( $greatereq(L_s924,X_1788)
& $lesseq(L_s924,$difference($sum(X_1789,X_1790),1)) ) )
& ! [X_1791: $int,X_1792: $int,X_1793: $int] :
( ( mem2(L_s922,X_1791,g_s891_882)
& mem2(L_s922,X_1792,g_s891_882)
& mem2(L_s922,X_1793,g_s893_884) )
=> ( $greatereq(L_s925,X_1791)
& $lesseq(L_s925,$difference($sum(X_1792,X_1793),1)) ) )
& ( L_s924 != L_s925 ) )
=> ~ ! [X_1794: $int] :
( mem2(L_s925,X_1794,g_s907_898)
=> mem2(L_s924,X_1794,g_s907_898) ) ) ).
tff('Define:ctx:1275',axiom,
! [L_s922: $int,L_s924: $int,L_s925: $int] :
( ( mem0(L_s922,g_s662_653)
& ! [X_1795: $int,X_1796: $int,X_1797: $int] :
( ( mem2(L_s922,X_1795,g_s892_883)
& mem2(L_s922,X_1796,g_s892_883)
& mem2(L_s922,X_1797,g_s894_885) )
=> ( $greatereq(L_s924,X_1795)
& $lesseq(L_s924,$difference($sum(X_1796,X_1797),1)) ) )
& ! [X_1798: $int,X_1799: $int,X_1800: $int] :
( ( mem2(L_s922,X_1798,g_s892_883)
& mem2(L_s922,X_1799,g_s892_883)
& mem2(L_s922,X_1800,g_s894_885) )
=> ( $greatereq(L_s925,X_1798)
& $lesseq(L_s925,$difference($sum(X_1799,X_1800),1)) ) )
& ( L_s924 != L_s925 ) )
=> ~ ! [X_1801: $int] :
( mem2(L_s925,X_1801,g_s908_899)
=> mem2(L_s924,X_1801,g_s908_899) ) ) ).
tff('Define:ctx:1276',axiom,
! [L_s926: $int] :
( mem0(L_s926,g_s698_689)
=> ! [X_1802: $int,X_1803: $int] :
( ( mem2(L_s926,X_1802,g_s901_892)
& mem2(L_s926,X_1803,g_s903_894) )
=> $lesseq(X_1802,X_1803) ) ) ).
tff('Define:ctx:1277',axiom,
! [L_s926: $int] :
( mem0(L_s926,g_s699_690)
=> ! [X_1804: $int,X_1805: $int] :
( ( mem2(L_s926,X_1804,g_s902_893)
& mem2(L_s926,X_1805,g_s904_895) )
=> $lesseq(X_1804,X_1805) ) ) ).
tff('Define:ctx:1278',axiom,
! [L_s926: $int] :
( mem0(L_s926,g_s698_689)
=> ! [X_1806: $int] :
( ! [X_1807: $int,X_1808: $int] :
( ( mem2(L_s926,X_1807,g_s903_894)
& mem2(L_s926,X_1808,g_s901_892) )
=> ( X_1806 = $difference(X_1807,X_1808) ) )
=> mem0(X_1806,g_s451_442) ) ) ).
tff('Define:ctx:1279',axiom,
! [L_s926: $int] :
( mem0(L_s926,g_s699_690)
=> ! [X_1809: $int] :
( ! [X_1810: $int,X_1811: $int] :
( ( mem2(L_s926,X_1810,g_s904_895)
& mem2(L_s926,X_1811,g_s902_893) )
=> ( X_1809 = $difference(X_1810,X_1811) ) )
=> mem0(X_1809,g_s450_441) ) ) ).
tff('Define:ctx:128',axiom,
? [X_498: set_6] :
( ! [X_499: $o,X_500: $int,X_501: $int] :
( mem6(X_501,X_500,(X_499),X_498)
<=> mem6(X_501,X_500,(X_499),g_s312_307) )
& ! [X_502: $int,X_503: $int,X_504: $o,X_505: $o] :
( ( mem6(X_503,X_502,(X_504),X_498)
& mem6(X_503,X_502,(X_505),X_498) )
=> ( (X_504)
<=> (X_505) ) )
& ! [X_506: $int,X_507: $int] :
( ( mem0(X_507,g_s243_243)
& mem0(X_506,g_s243_243) )
<=> ? [X_508: $o] : mem6(X_507,X_506,(X_508),X_498) )
& ! [X_509: $o] :
( ? [X_510: $int,X_511: $int] : mem6(X_511,X_510,(X_509),X_498)
=> $true ) ) ).
tff('Define:ctx:1280',axiom,
! [L_s927: $int,L_s928: $int] :
( ( mem0(L_s927,g_s339_330)
& mem0(L_s928,g_s339_330) )
=> ! [X_1812: $int] :
( ? [X_1813: set_2] :
( ? [X_1814: set_2] :
( ! [X_1815: $int,X_1816: $int] :
( mem2(X_1816,X_1815,X_1814)
<=> mem2(X_1816,X_1815,X_1813) )
& ! [X_1817: $int,X_1818: $int,X_1819: $int] :
( ( mem2(X_1817,X_1818,X_1814)
& mem2(X_1817,X_1819,X_1814) )
=> ( X_1818 = X_1819 ) )
& ! [X_1820: $int] :
( ( ? [X_1821: $int] :
! [X_1822: set_2] :
( mem9(L_s927,X_1822,g_s919_910)
=> mem2(X_1821,X_1820,X_1822) )
& mem2(X_1820,L_s928,g_s907_898) )
<=> ? [X_1823: $int] : mem2(X_1820,X_1823,X_1814) )
& ! [X_1824: $int] :
( ? [X_1825: $int] : mem2(X_1825,X_1824,X_1814)
=> ( $greatereq(X_1824,1)
& $lesseq(X_1824,X_1812) ) ) )
& ! [X_1826: $int] :
( ( $greatereq(X_1826,1)
& $lesseq(X_1826,X_1812) )
=> ? [X_1827: $int] : mem2(X_1827,X_1826,X_1813) )
& ! [X_1828: $int,X_1829: $int,X_1830: $int] :
( ( mem2(X_1829,X_1828,X_1813)
& mem2(X_1830,X_1828,X_1813) )
=> ( X_1829 = X_1830 ) ) )
=> $lesseq(X_1812,1) ) ) ).
tff('Define:ctx:1281',axiom,
! [L_s927: $int,L_s928: $int] :
( ( mem0(L_s927,g_s662_653)
& mem0(L_s928,g_s662_653) )
=> ! [X_1831: $int] :
( ? [X_1832: set_2] :
( ? [X_1833: set_2] :
( ! [X_1834: $int,X_1835: $int] :
( mem2(X_1835,X_1834,X_1833)
<=> mem2(X_1835,X_1834,X_1832) )
& ! [X_1836: $int,X_1837: $int,X_1838: $int] :
( ( mem2(X_1836,X_1837,X_1833)
& mem2(X_1836,X_1838,X_1833) )
=> ( X_1837 = X_1838 ) )
& ! [X_1839: $int] :
( ( ? [X_1840: $int] :
! [X_1841: set_2] :
( mem9(L_s927,X_1841,g_s920_911)
=> mem2(X_1840,X_1839,X_1841) )
& mem2(X_1839,L_s928,g_s908_899) )
<=> ? [X_1842: $int] : mem2(X_1839,X_1842,X_1833) )
& ! [X_1843: $int] :
( ? [X_1844: $int] : mem2(X_1844,X_1843,X_1833)
=> ( $greatereq(X_1843,1)
& $lesseq(X_1843,X_1831) ) ) )
& ! [X_1845: $int] :
( ( $greatereq(X_1845,1)
& $lesseq(X_1845,X_1831) )
=> ? [X_1846: $int] : mem2(X_1846,X_1845,X_1832) )
& ! [X_1847: $int,X_1848: $int,X_1849: $int] :
( ( mem2(X_1848,X_1847,X_1832)
& mem2(X_1849,X_1847,X_1832) )
=> ( X_1848 = X_1849 ) ) )
=> $lesseq(X_1831,1) ) ) ).
tff('Define:ctx:1282',axiom,
! [L_s927: $int,L_s930: $int,L_s923: $int] :
( ( mem0(L_s927,g_s339_330)
& mem0(L_s930,g_s329_320)
& mem0(L_s923,g_s335_326) )
=> ! [X_1850: $int] :
( ? [X_1851: set_2] :
( ? [X_1852: set_2] :
( ! [X_1853: $int,X_1854: $int] :
( mem2(X_1854,X_1853,X_1852)
<=> mem2(X_1854,X_1853,X_1851) )
& ! [X_1855: $int,X_1856: $int,X_1857: $int] :
( ( mem2(X_1855,X_1856,X_1852)
& mem2(X_1855,X_1857,X_1852) )
=> ( X_1856 = X_1857 ) )
& ! [X_1858: $int] :
( ( ? [X_1859: $int] :
! [X_1860: set_2] :
( mem8(L_s927,L_s923,X_1860,g_s917_908)
=> mem2(X_1859,X_1858,X_1860) )
& mem2(X_1858,L_s930,g_s897_888) )
<=> ? [X_1861: $int] : mem2(X_1858,X_1861,X_1852) )
& ! [X_1862: $int] :
( ? [X_1863: $int] : mem2(X_1863,X_1862,X_1852)
=> ( $greatereq(X_1862,1)
& $lesseq(X_1862,X_1850) ) ) )
& ! [X_1864: $int] :
( ( $greatereq(X_1864,1)
& $lesseq(X_1864,X_1850) )
=> ? [X_1865: $int] : mem2(X_1865,X_1864,X_1851) )
& ! [X_1866: $int,X_1867: $int,X_1868: $int] :
( ( mem2(X_1867,X_1866,X_1851)
& mem2(X_1868,X_1866,X_1851) )
=> ( X_1867 = X_1868 ) ) )
=> $lesseq(X_1850,1) ) ) ).
tff('Define:ctx:1283',axiom,
! [L_s927: $int,L_s930: $int,L_s923: $int] :
( ( mem0(L_s927,g_s662_653)
& mem0(L_s930,g_s655_646)
& mem0(L_s923,g_s460_451) )
=> ! [X_1869: $int] :
( ? [X_1870: set_2] :
( ? [X_1871: set_2] :
( ! [X_1872: $int,X_1873: $int] :
( mem2(X_1873,X_1872,X_1871)
<=> mem2(X_1873,X_1872,X_1870) )
& ! [X_1874: $int,X_1875: $int,X_1876: $int] :
( ( mem2(X_1874,X_1875,X_1871)
& mem2(X_1874,X_1876,X_1871) )
=> ( X_1875 = X_1876 ) )
& ! [X_1877: $int] :
( ( ? [X_1878: $int] :
! [X_1879: set_2] :
( mem8(L_s927,L_s923,X_1879,g_s918_909)
=> mem2(X_1878,X_1877,X_1879) )
& mem2(X_1877,L_s930,g_s897_888) )
<=> ? [X_1880: $int] : mem2(X_1877,X_1880,X_1871) )
& ! [X_1881: $int] :
( ? [X_1882: $int] : mem2(X_1882,X_1881,X_1871)
=> ( $greatereq(X_1881,1)
& $lesseq(X_1881,X_1869) ) ) )
& ! [X_1883: $int] :
( ( $greatereq(X_1883,1)
& $lesseq(X_1883,X_1869) )
=> ? [X_1884: $int] : mem2(X_1884,X_1883,X_1870) )
& ! [X_1885: $int,X_1886: $int,X_1887: $int] :
( ( mem2(X_1886,X_1885,X_1870)
& mem2(X_1887,X_1885,X_1870) )
=> ( X_1886 = X_1887 ) ) )
=> $lesseq(X_1869,1) ) ) ).
tff('Define:ctx:1284',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s339_330)
=> ? [X_1888: set_2] :
( ? [X_1889: set_2] :
( ! [X_1890: $int,X_1891: $int] :
( mem2(X_1891,X_1890,X_1889)
<=> mem2(X_1891,X_1890,X_1888) )
& ! [X_1892: $int,X_1893: $int,X_1894: $int] :
( ( mem2(X_1892,X_1893,X_1889)
& mem2(X_1892,X_1894,X_1889) )
=> ( X_1893 = X_1894 ) )
& ! [X_1895: $int] :
( ? [X_1896: $int] :
! [X_1897: set_2] :
( mem9(L_s922,X_1897,g_s919_910)
=> mem2(X_1896,X_1895,X_1897) )
<=> ? [X_1898: $int] : mem2(X_1895,X_1898,X_1889) )
& ! [X_1899: $int] :
( ? [X_1900: $int] : mem2(X_1900,X_1899,X_1889)
=> ! [X_1901: $int] :
( ? [X_1902: set_2] :
( ? [X_1903: set_2] :
( ! [X_1904: $int,X_1905: $int] :
( mem2(X_1905,X_1904,X_1903)
<=> mem2(X_1905,X_1904,X_1902) )
& ! [X_1906: $int,X_1907: $int,X_1908: $int] :
( ( mem2(X_1906,X_1907,X_1903)
& mem2(X_1906,X_1908,X_1903) )
=> ( X_1907 = X_1908 ) )
& ! [X_1909: $int] :
( ? [X_1910: $int] :
( ? [X_1911: $int] :
! [X_1912: set_2] :
( mem9(L_s922,X_1912,g_s919_910)
=> mem2(X_1911,X_1910,X_1912) )
& mem2(X_1910,X_1909,g_s907_898) )
<=> ? [X_1913: $int] : mem2(X_1909,X_1913,X_1903) )
& ! [X_1914: $int] :
( ? [X_1915: $int] : mem2(X_1915,X_1914,X_1903)
=> ( $greatereq(X_1914,1)
& $lesseq(X_1914,X_1901) ) ) )
& ! [X_1916: $int] :
( ( $greatereq(X_1916,1)
& $lesseq(X_1916,X_1901) )
=> ? [X_1917: $int] : mem2(X_1917,X_1916,X_1902) )
& ! [X_1918: $int,X_1919: $int,X_1920: $int] :
( ( mem2(X_1919,X_1918,X_1902)
& mem2(X_1920,X_1918,X_1902) )
=> ( X_1919 = X_1920 ) ) )
=> ( $greatereq(X_1899,1)
& $lesseq(X_1899,X_1901) ) ) ) )
& ! [X_1921: $int] :
( ! [X_1922: $int] :
( ? [X_1923: set_2] :
( ? [X_1924: set_2] :
( ! [X_1925: $int,X_1926: $int] :
( mem2(X_1926,X_1925,X_1924)
<=> mem2(X_1926,X_1925,X_1923) )
& ! [X_1927: $int,X_1928: $int,X_1929: $int] :
( ( mem2(X_1927,X_1928,X_1924)
& mem2(X_1927,X_1929,X_1924) )
=> ( X_1928 = X_1929 ) )
& ! [X_1930: $int] :
( ? [X_1931: $int] :
( ? [X_1932: $int] :
! [X_1933: set_2] :
( mem9(L_s922,X_1933,g_s919_910)
=> mem2(X_1932,X_1931,X_1933) )
& mem2(X_1931,X_1930,g_s907_898) )
<=> ? [X_1934: $int] : mem2(X_1930,X_1934,X_1924) )
& ! [X_1935: $int] :
( ? [X_1936: $int] : mem2(X_1936,X_1935,X_1924)
=> ( $greatereq(X_1935,1)
& $lesseq(X_1935,X_1922) ) ) )
& ! [X_1937: $int] :
( ( $greatereq(X_1937,1)
& $lesseq(X_1937,X_1922) )
=> ? [X_1938: $int] : mem2(X_1938,X_1937,X_1923) )
& ! [X_1939: $int,X_1940: $int,X_1941: $int] :
( ( mem2(X_1940,X_1939,X_1923)
& mem2(X_1941,X_1939,X_1923) )
=> ( X_1940 = X_1941 ) ) )
=> ( $greatereq(X_1921,1)
& $lesseq(X_1921,X_1922) ) )
=> ? [X_1942: $int] : mem2(X_1942,X_1921,X_1888) )
& ! [X_1943: $int,X_1944: $int,X_1945: $int] :
( ( mem2(X_1944,X_1943,X_1888)
& mem2(X_1945,X_1943,X_1888) )
=> ( X_1944 = X_1945 ) ) ) ) ).
tff('Define:ctx:1285',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s662_653)
=> ? [X_1946: set_2] :
( ? [X_1947: set_2] :
( ! [X_1948: $int,X_1949: $int] :
( mem2(X_1949,X_1948,X_1947)
<=> mem2(X_1949,X_1948,X_1946) )
& ! [X_1950: $int,X_1951: $int,X_1952: $int] :
( ( mem2(X_1950,X_1951,X_1947)
& mem2(X_1950,X_1952,X_1947) )
=> ( X_1951 = X_1952 ) )
& ! [X_1953: $int] :
( ? [X_1954: $int] :
! [X_1955: set_2] :
( mem9(L_s922,X_1955,g_s920_911)
=> mem2(X_1954,X_1953,X_1955) )
<=> ? [X_1956: $int] : mem2(X_1953,X_1956,X_1947) )
& ! [X_1957: $int] :
( ? [X_1958: $int] : mem2(X_1958,X_1957,X_1947)
=> ! [X_1959: $int] :
( ? [X_1960: set_2] :
( ? [X_1961: set_2] :
( ! [X_1962: $int,X_1963: $int] :
( mem2(X_1963,X_1962,X_1961)
<=> mem2(X_1963,X_1962,X_1960) )
& ! [X_1964: $int,X_1965: $int,X_1966: $int] :
( ( mem2(X_1964,X_1965,X_1961)
& mem2(X_1964,X_1966,X_1961) )
=> ( X_1965 = X_1966 ) )
& ! [X_1967: $int] :
( ? [X_1968: $int] :
( ? [X_1969: $int] :
! [X_1970: set_2] :
( mem9(L_s922,X_1970,g_s920_911)
=> mem2(X_1969,X_1968,X_1970) )
& mem2(X_1968,X_1967,g_s908_899) )
<=> ? [X_1971: $int] : mem2(X_1967,X_1971,X_1961) )
& ! [X_1972: $int] :
( ? [X_1973: $int] : mem2(X_1973,X_1972,X_1961)
=> ( $greatereq(X_1972,1)
& $lesseq(X_1972,X_1959) ) ) )
& ! [X_1974: $int] :
( ( $greatereq(X_1974,1)
& $lesseq(X_1974,X_1959) )
=> ? [X_1975: $int] : mem2(X_1975,X_1974,X_1960) )
& ! [X_1976: $int,X_1977: $int,X_1978: $int] :
( ( mem2(X_1977,X_1976,X_1960)
& mem2(X_1978,X_1976,X_1960) )
=> ( X_1977 = X_1978 ) ) )
=> ( $greatereq(X_1957,1)
& $lesseq(X_1957,X_1959) ) ) ) )
& ! [X_1979: $int] :
( ! [X_1980: $int] :
( ? [X_1981: set_2] :
( ? [X_1982: set_2] :
( ! [X_1983: $int,X_1984: $int] :
( mem2(X_1984,X_1983,X_1982)
<=> mem2(X_1984,X_1983,X_1981) )
& ! [X_1985: $int,X_1986: $int,X_1987: $int] :
( ( mem2(X_1985,X_1986,X_1982)
& mem2(X_1985,X_1987,X_1982) )
=> ( X_1986 = X_1987 ) )
& ! [X_1988: $int] :
( ? [X_1989: $int] :
( ? [X_1990: $int] :
! [X_1991: set_2] :
( mem9(L_s922,X_1991,g_s920_911)
=> mem2(X_1990,X_1989,X_1991) )
& mem2(X_1989,X_1988,g_s908_899) )
<=> ? [X_1992: $int] : mem2(X_1988,X_1992,X_1982) )
& ! [X_1993: $int] :
( ? [X_1994: $int] : mem2(X_1994,X_1993,X_1982)
=> ( $greatereq(X_1993,1)
& $lesseq(X_1993,X_1980) ) ) )
& ! [X_1995: $int] :
( ( $greatereq(X_1995,1)
& $lesseq(X_1995,X_1980) )
=> ? [X_1996: $int] : mem2(X_1996,X_1995,X_1981) )
& ! [X_1997: $int,X_1998: $int,X_1999: $int] :
( ( mem2(X_1998,X_1997,X_1981)
& mem2(X_1999,X_1997,X_1981) )
=> ( X_1998 = X_1999 ) ) )
=> ( $greatereq(X_1979,1)
& $lesseq(X_1979,X_1980) ) )
=> ? [X_2000: $int] : mem2(X_2000,X_1979,X_1946) )
& ! [X_2001: $int,X_2002: $int,X_2003: $int] :
( ( mem2(X_2002,X_2001,X_1946)
& mem2(X_2003,X_2001,X_1946) )
=> ( X_2002 = X_2003 ) ) ) ) ).
tff('Define:ctx:1286',axiom,
! [L_s931: $int] :
( mem0(L_s931,g_s339_330)
=> ~ ? [X_2004: $int] : mem2(X_2004,g_s707_698,g_s897_888) ) ).
tff('Define:ctx:1287',axiom,
! [L_s931: $int] :
( mem0(L_s931,g_s662_653)
=> ~ ? [X_2005: $int] : mem2(X_2005,g_s710_701,g_s899_890) ) ).
tff('Define:ctx:1288',axiom,
! [X_2006: set_2,X_2007: $int] :
( mem9(X_2007,X_2006,g_s919_910)
<=> ( mem0(X_2007,g_s339_330)
& ! [X_2008: $int,X_2009: $int] :
( mem2(X_2009,X_2008,X_2006)
<=> ( ! [X_2010: $int] :
( mem2(X_2007,X_2010,g_s893_884)
=> ( $greatereq(X_2009,1)
& $lesseq(X_2009,X_2010) ) )
& ! [X_2011: $int] :
( mem2(X_2007,X_2011,g_s891_882)
=> ( X_2008 = $difference($sum(X_2011,X_2009),1) ) ) ) ) ) ) ).
tff('Define:ctx:1289',axiom,
! [X_2012: set_2,X_2013: $int] :
( mem9(X_2013,X_2012,g_s920_911)
<=> ( mem0(X_2013,g_s662_653)
& ! [X_2014: $int,X_2015: $int] :
( mem2(X_2015,X_2014,X_2012)
<=> ( ! [X_2016: $int] :
( mem2(X_2013,X_2016,g_s894_885)
=> ( $greatereq(X_2015,1)
& $lesseq(X_2015,X_2016) ) )
& ! [X_2017: $int] :
( mem2(X_2013,X_2017,g_s892_883)
=> ( X_2014 = $difference($sum(X_2017,X_2015),1) ) ) ) ) ) ) ).
tff('Define:ctx:129',axiom,
! [X_512: $o,X_513: $int,X_514: $int] :
( mem6(X_514,X_513,(X_512),g_s312_307)
<=> mem6(X_514,X_513,(X_512),g_s310_305) ) ).
tff('Define:ctx:1290',axiom,
! [X_2018: set_2,X_2019: $int,X_2020: $int] :
( mem8(X_2020,X_2019,X_2018,g_s917_908)
<=> ( mem0(X_2020,g_s339_330)
& mem0(X_2019,g_s335_326)
& ! [X_2021: $int,X_2022: $int] :
( mem2(X_2022,X_2021,X_2018)
<=> ( ! [X_2023: $int] :
( mem7(X_2020,X_2019,X_2023,g_s888_879)
=> ( $greatereq(X_2022,1)
& $lesseq(X_2022,X_2023) ) )
& ! [X_2024: $int] :
( mem7(X_2020,X_2019,X_2024,g_s886_877)
=> ( X_2021 = $difference($sum(X_2024,X_2022),1) ) ) ) ) ) ) ).
tff('Define:ctx:1291',axiom,
! [X_2025: set_2,X_2026: $int,X_2027: $int] :
( mem8(X_2027,X_2026,X_2025,g_s918_909)
<=> ( mem0(X_2027,g_s662_653)
& mem0(X_2026,g_s460_451)
& ! [X_2028: $int,X_2029: $int] :
( mem2(X_2029,X_2028,X_2025)
<=> ( ! [X_2030: $int] :
( mem7(X_2027,X_2026,X_2030,g_s889_880)
=> ( $greatereq(X_2029,1)
& $lesseq(X_2029,X_2030) ) )
& ! [X_2031: $int] :
( mem7(X_2027,X_2026,X_2031,g_s887_878)
=> ( X_2028 = $difference($sum(X_2031,X_2029),1) ) ) ) ) ) ) ).
tff('Define:ctx:1292',axiom,
! [X_2032: set_2,X_2033: $int] :
( mem9(X_2033,X_2032,g_s921_912)
<=> ( mem0(X_2033,g_s339_330)
& ! [X_2034: $int,X_2035: $int] :
( mem2(X_2035,X_2034,X_2032)
<=> ( ! [X_2036: $int] :
( mem2(X_2033,X_2036,g_s896_887)
=> ( $greatereq(X_2035,1)
& $lesseq(X_2035,X_2036) ) )
& ! [X_2037: $int] :
( mem2(X_2033,X_2037,g_s895_886)
=> ( X_2034 = $difference($sum(X_2037,X_2035),1) ) ) ) ) ) ) ).
tff('Define:ctx:1293',axiom,
! [L_s922: $int] :
( mem0(L_s922,g_s662_653)
=> ! [X_2038: $int] :
( ! [X_2039: $int,X_2040: $int] :
( ( mem7(L_s922,g_s7_7,X_2039,g_s887_878)
& mem7(L_s922,g_s7_7,X_2040,g_s889_880) )
=> ( X_2038 = $sum(X_2039,X_2040) ) )
=> mem2(L_s922,X_2038,g_s890_881) ) ) ).
tff('Define:ctx:13',axiom,
( ! [X_18: $int] :
( mem0(X_18,g_s55_55)
<=> ( ( X_18 = g_s56_56 )
| ( X_18 = g_s57_57 )
| ( X_18 = g_s58_58 )
| ( X_18 = g_s59_59 ) ) )
& ( g_s56_56 != g_s57_57 )
& ( g_s57_57 != g_s58_58 )
& ( g_s58_58 != g_s59_59 ) ) ).
tff('Define:ctx:130',axiom,
? [X_515: set_4] :
( ! [X_516: $o,X_517: $o] :
( mem4((X_517),(X_516),X_515)
<=> mem4((X_517),(X_516),g_s313_308) )
& ! [X_518: $o,X_519: $o,X_520: $o] :
( ( mem4((X_518),(X_519),X_515)
& mem4((X_518),(X_520),X_515) )
=> ( (X_519)
<=> (X_520) ) )
& ! [X_521: $o] :
( $true
<=> ? [X_522: $o] : mem4((X_521),(X_522),X_515) )
& ! [X_523: $o] :
( ? [X_524: $o] : mem4((X_524),(X_523),X_515)
=> $true ) ) ).
tff('Define:ctx:131',axiom,
! [X_525: $o,X_526: $o] :
( mem4((X_526),(X_525),g_s313_308)
<=> ( $true
& ( (X_525)
<=> (X_526) ) ) ) ).
tff('Define:ctx:132',axiom,
? [X_527: set_4] :
( ! [X_528: $o,X_529: $o] :
( mem4((X_529),(X_528),X_527)
<=> mem4((X_529),(X_528),g_s314_309) )
& ! [X_530: $o,X_531: $o,X_532: $o] :
( ( mem4((X_530),(X_531),X_527)
& mem4((X_530),(X_532),X_527) )
=> ( (X_531)
<=> (X_532) ) )
& ! [X_533: $o] :
( $true
<=> ? [X_534: $o] : mem4((X_533),(X_534),X_527) )
& ! [X_535: $o] :
( ? [X_536: $o] : mem4((X_536),(X_535),X_527)
=> $true ) ) ).
tff('Define:ctx:133',axiom,
! [X_537: $o,X_538: $o] :
( mem4((X_538),(X_537),g_s314_309)
<=> ( $true
& ( (X_537)
<=> (X_538) ) ) ) ).
tff('Define:ctx:134',axiom,
? [X_539: set_4] :
( ! [X_540: $o,X_541: $o] :
( mem4((X_541),(X_540),X_539)
<=> mem4((X_541),(X_540),g_s315_310) )
& ! [X_542: $o,X_543: $o,X_544: $o] :
( ( mem4((X_542),(X_543),X_539)
& mem4((X_542),(X_544),X_539) )
=> ( (X_543)
<=> (X_544) ) )
& ! [X_545: $o] :
( $true
<=> ? [X_546: $o] : mem4((X_545),(X_546),X_539) )
& ! [X_547: $o] :
( ? [X_548: $o] : mem4((X_548),(X_547),X_539)
=> $true ) ) ).
tff('Define:ctx:135',axiom,
! [X_549: $o,X_550: $o] :
( mem4((X_550),(X_549),g_s315_310)
<=> ( $true
& ( (X_549)
<=> (X_550) ) ) ) ).
tff('Define:ctx:136',axiom,
? [X_551: set_4] :
( ! [X_552: $o,X_553: $o] :
( mem4((X_553),(X_552),X_551)
<=> mem4((X_553),(X_552),g_s316_311) )
& ! [X_554: $o,X_555: $o,X_556: $o] :
( ( mem4((X_554),(X_555),X_551)
& mem4((X_554),(X_556),X_551) )
=> ( (X_555)
<=> (X_556) ) )
& ! [X_557: $o] :
( $true
<=> ? [X_558: $o] : mem4((X_557),(X_558),X_551) )
& ! [X_559: $o] :
( ? [X_560: $o] : mem4((X_560),(X_559),X_551)
=> $true ) ) ).
tff('Define:ctx:137',axiom,
! [X_561: $o,X_562: $o] :
( mem4((X_562),(X_561),g_s316_311)
<=> ( $true
& ( (X_561)
<=> (X_562) ) ) ) ).
tff('Define:ctx:138',axiom,
? [X_563: set_4] :
( ! [X_564: $o,X_565: $o] :
( mem4((X_565),(X_564),X_563)
<=> mem4((X_565),(X_564),g_s317_312) )
& ! [X_566: $o,X_567: $o,X_568: $o] :
( ( mem4((X_566),(X_567),X_563)
& mem4((X_566),(X_568),X_563) )
=> ( (X_567)
<=> (X_568) ) )
& ! [X_569: $o] :
( $true
<=> ? [X_570: $o] : mem4((X_569),(X_570),X_563) )
& ! [X_571: $o] :
( ? [X_572: $o] : mem4((X_572),(X_571),X_563)
=> $true ) ) ).
tff('Define:ctx:139',axiom,
! [X_573: $o,X_574: $o] :
( mem4((X_574),(X_573),g_s317_312)
<=> ( $true
& ( (X_573)
<=> (X_574) ) ) ) ).
tff('Define:ctx:14',axiom,
( ! [X_19: $int] :
( mem0(X_19,g_s60_60)
<=> ( ( X_19 = g_s61_61 )
| ( X_19 = g_s62_62 )
| ( X_19 = g_s63_63 )
| ( X_19 = g_s64_64 )
| ( X_19 = g_s65_65 )
| ( X_19 = g_s66_66 )
| ( X_19 = g_s67_67 )
| ( X_19 = g_s68_68 )
| ( X_19 = g_s69_69 )
| ( X_19 = g_s70_70 )
| ( X_19 = g_s71_71 )
| ( X_19 = g_s72_72 )
| ( X_19 = g_s73_73 )
| ( X_19 = g_s74_74 )
| ( X_19 = g_s75_75 ) ) )
& ( g_s61_61 != g_s62_62 )
& ( g_s62_62 != g_s63_63 )
& ( g_s63_63 != g_s64_64 )
& ( g_s64_64 != g_s65_65 )
& ( g_s65_65 != g_s66_66 )
& ( g_s66_66 != g_s67_67 )
& ( g_s67_67 != g_s68_68 )
& ( g_s68_68 != g_s69_69 )
& ( g_s69_69 != g_s70_70 )
& ( g_s70_70 != g_s71_71 )
& ( g_s71_71 != g_s72_72 )
& ( g_s72_72 != g_s73_73 )
& ( g_s73_73 != g_s74_74 )
& ( g_s74_74 != g_s75_75 ) ) ).
tff('Define:ctx:140',axiom,
? [X_575: set_6] :
( ! [X_576: $o,X_577: $int,X_578: $int] :
( mem6(X_578,X_577,(X_576),X_575)
<=> mem6(X_578,X_577,(X_576),g_s318_313) )
& ! [X_579: $int,X_580: $int,X_581: $o,X_582: $o] :
( ( mem6(X_580,X_579,(X_581),X_575)
& mem6(X_580,X_579,(X_582),X_575) )
=> ( (X_581)
<=> (X_582) ) )
& ! [X_583: $int,X_584: $int] :
( ( mem0(X_584,g_s246_246)
& mem0(X_583,g_s245_245) )
<=> ? [X_585: $o] : mem6(X_584,X_583,(X_585),X_575) )
& ! [X_586: $o] :
( ? [X_587: $int,X_588: $int] : mem6(X_588,X_587,(X_586),X_575)
=> $true ) ) ).
tff('Define:ctx:141',axiom,
! [X_589: $o,X_590: $int,X_591: $int] :
( mem6(X_591,X_590,(X_589),g_s318_313)
<=> ( mem0(X_591,g_s246_246)
& mem0(X_590,g_s245_245)
& ( (X_589)
<=> ( X_591 = X_590 ) ) ) ) ).
tff('Define:ctx:142',axiom,
? [X_592: set_6] :
( ! [X_593: $o,X_594: $int,X_595: $int] :
( mem6(X_595,X_594,(X_593),X_592)
<=> mem6(X_595,X_594,(X_593),g_s321_314) )
& ! [X_596: $int,X_597: $int,X_598: $o,X_599: $o] :
( ( mem6(X_597,X_596,(X_598),X_592)
& mem6(X_597,X_596,(X_599),X_592) )
=> ( (X_598)
<=> (X_599) ) )
& ! [X_600: $int,X_601: $int] :
( ( mem0(X_601,g_s245_245)
& mem0(X_600,g_s245_245) )
<=> ? [X_602: $o] : mem6(X_601,X_600,(X_602),X_592) )
& ! [X_603: $o] :
( ? [X_604: $int,X_605: $int] : mem6(X_605,X_604,(X_603),X_592)
=> $true ) ) ).
tff('Define:ctx:143',axiom,
! [X_606: $o,X_607: $int,X_608: $int] :
( mem6(X_608,X_607,(X_606),g_s321_314)
<=> mem6(X_608,X_607,(X_606),g_s321_314) ) ).
tff('Define:ctx:144',axiom,
( ? [X_609: set_2] :
( ! [X_610: $int,X_611: $int] :
( mem2(X_611,X_610,X_609)
<=> mem2(X_611,X_610,g_s322_315) )
& ! [X_612: $int,X_613: $int,X_614: $int] :
( ( mem2(X_612,X_613,X_609)
& mem2(X_612,X_614,X_609) )
=> ( X_613 = X_614 ) )
& ! [X_615: $int] :
( mem0(X_615,g_s245_245)
<=> ? [X_616: $int] : mem2(X_615,X_616,X_609) )
& ! [X_617: $int] :
( ? [X_618: $int] : mem2(X_618,X_617,X_609)
=> mem0(X_617,g_s245_245) ) )
& ! [X_619: $int] :
( mem0(X_619,g_s245_245)
=> ? [X_620: $int] : mem2(X_620,X_619,g_s322_315) )
& ! [X_621: $int,X_622: $int,X_623: $int] :
( ( mem2(X_622,X_621,g_s322_315)
& mem2(X_623,X_621,g_s322_315) )
=> ( X_622 = X_623 ) ) ) ).
tff('Define:ctx:145',axiom,
! [X_624: $int,X_625: $int] :
( mem2(X_625,X_624,g_s322_315)
<=> ( mem0(X_625,g_s245_245)
& ( X_624 = X_625 ) ) ) ).
tff('Define:ctx:146',axiom,
( ? [X_626: set_2] :
( ! [X_627: $int,X_628: $int] :
( mem2(X_628,X_627,X_626)
<=> mem2(X_628,X_627,g_s324_316) )
& ! [X_629: $int,X_630: $int,X_631: $int] :
( ( mem2(X_629,X_630,X_626)
& mem2(X_629,X_631,X_626) )
=> ( X_630 = X_631 ) )
& ! [X_632: $int] :
( mem0(X_632,g_s246_246)
<=> ? [X_633: $int] : mem2(X_632,X_633,X_626) )
& ! [X_634: $int] :
( ? [X_635: $int] : mem2(X_635,X_634,X_626)
=> mem0(X_634,g_s246_246) ) )
& ! [X_636: $int] :
( mem0(X_636,g_s246_246)
=> ? [X_637: $int] : mem2(X_637,X_636,g_s324_316) )
& ! [X_638: $int,X_639: $int,X_640: $int] :
( ( mem2(X_639,X_638,g_s324_316)
& mem2(X_640,X_638,g_s324_316) )
=> ( X_639 = X_640 ) ) ) ).
tff('Define:ctx:147',axiom,
! [X_641: $int,X_642: $int] :
( mem2(X_642,X_641,g_s324_316)
<=> mem2(X_642,X_641,g_s322_315) ) ).
tff('Define:ctx:148',axiom,
! [X_643: $int,X_644: $int] :
( mem2(X_644,X_643,g_s325_317)
<=> ( $true
& ( X_643 = X_644 ) ) ) ).
tff('Define:ctx:149',axiom,
! [X_645: $o,X_646: $o] :
( mem4((X_646),(X_645),g_s327_318)
<=> ( $true
& ( (X_645)
<=> (X_646) ) ) ) ).
tff('Define:ctx:15',axiom,
( ! [X_20: $int] :
( mem0(X_20,g_s76_76)
<=> ( ( X_20 = g_s77_77 )
| ( X_20 = g_s78_78 )
| ( X_20 = g_s79_79 )
| ( X_20 = g_s80_80 )
| ( X_20 = g_s81_81 )
| ( X_20 = g_s82_82 )
| ( X_20 = g_s83_83 )
| ( X_20 = g_s84_84 )
| ( X_20 = g_s85_85 )
| ( X_20 = g_s86_86 )
| ( X_20 = g_s87_87 )
| ( X_20 = g_s88_88 )
| ( X_20 = g_s89_89 )
| ( X_20 = g_s90_90 )
| ( X_20 = g_s91_91 )
| ( X_20 = g_s92_92 )
| ( X_20 = g_s93_93 )
| ( X_20 = g_s94_94 )
| ( X_20 = g_s95_95 )
| ( X_20 = g_s96_96 )
| ( X_20 = g_s97_97 )
| ( X_20 = g_s98_98 )
| ( X_20 = g_s99_99 )
| ( X_20 = g_s100_100 )
| ( X_20 = g_s101_101 )
| ( X_20 = g_s102_102 )
| ( X_20 = g_s103_103 )
| ( X_20 = g_s104_104 )
| ( X_20 = g_s105_105 )
| ( X_20 = g_s106_106 )
| ( X_20 = g_s107_107 )
| ( X_20 = g_s108_108 ) ) )
& ( g_s77_77 != g_s78_78 )
& ( g_s78_78 != g_s79_79 )
& ( g_s79_79 != g_s80_80 )
& ( g_s80_80 != g_s81_81 )
& ( g_s81_81 != g_s82_82 )
& ( g_s82_82 != g_s83_83 )
& ( g_s83_83 != g_s84_84 )
& ( g_s84_84 != g_s85_85 )
& ( g_s85_85 != g_s86_86 )
& ( g_s86_86 != g_s87_87 )
& ( g_s87_87 != g_s88_88 )
& ( g_s88_88 != g_s89_89 )
& ( g_s89_89 != g_s90_90 )
& ( g_s90_90 != g_s91_91 )
& ( g_s91_91 != g_s92_92 )
& ( g_s92_92 != g_s93_93 )
& ( g_s93_93 != g_s94_94 )
& ( g_s94_94 != g_s95_95 )
& ( g_s95_95 != g_s96_96 )
& ( g_s96_96 != g_s97_97 )
& ( g_s97_97 != g_s98_98 )
& ( g_s98_98 != g_s99_99 )
& ( g_s99_99 != g_s100_100 )
& ( g_s100_100 != g_s101_101 )
& ( g_s101_101 != g_s102_102 )
& ( g_s102_102 != g_s103_103 )
& ( g_s103_103 != g_s104_104 )
& ( g_s104_104 != g_s105_105 )
& ( g_s105_105 != g_s106_106 )
& ( g_s106_106 != g_s107_107 )
& ( g_s107_107 != g_s108_108 ) ) ).
tff('Define:ctx:150',axiom,
? [X_647: set_2] :
( ! [X_648: $int,X_649: $int] :
( mem2(X_649,X_648,X_647)
<=> mem2(X_649,X_648,g_s328_319) )
& ! [X_650: $int,X_651: $int,X_652: $int] :
( ( mem2(X_650,X_651,X_647)
& mem2(X_650,X_652,X_647) )
=> ( X_651 = X_652 ) )
& ! [X_653: $int] :
( mem0(X_653,g_s329_320)
<=> ? [X_654: $int] : mem2(X_653,X_654,X_647) )
& ! [X_655: $int] :
( ? [X_656: $int] : mem2(X_656,X_655,X_647)
=> mem0(X_655,g_s243_243) ) ) ).
tff('Define:ctx:151',axiom,
? [X_657: set_2] :
( ! [X_658: $int,X_659: $int] :
( mem2(X_659,X_658,X_657)
<=> mem2(X_659,X_658,g_s330_321) )
& ! [X_660: $int,X_661: $int,X_662: $int] :
( ( mem2(X_660,X_661,X_657)
& mem2(X_660,X_662,X_657) )
=> ( X_661 = X_662 ) )
& ! [X_663: $int] :
( mem0(X_663,g_s331_322)
<=> ? [X_664: $int] : mem2(X_663,X_664,X_657) )
& ! [X_665: $int] :
( ? [X_666: $int] : mem2(X_666,X_665,X_657)
=> mem0(X_665,g_s243_243) ) ) ).
tff('Define:ctx:152',axiom,
? [X_667: set_2] :
( ! [X_668: $int,X_669: $int] :
( mem2(X_669,X_668,X_667)
<=> mem2(X_669,X_668,g_s332_323) )
& ! [X_670: $int,X_671: $int,X_672: $int] :
( ( mem2(X_670,X_671,X_667)
& mem2(X_670,X_672,X_667) )
=> ( X_671 = X_672 ) )
& ! [X_673: $int] :
( mem0(X_673,g_s333_324)
<=> ? [X_674: $int] : mem2(X_673,X_674,X_667) )
& ! [X_675: $int] :
( ? [X_676: $int] : mem2(X_676,X_675,X_667)
=> mem0(X_675,g_s243_243) ) ) ).
tff('Define:ctx:153',axiom,
? [X_677: set_2] :
( ! [X_678: $int,X_679: $int] :
( mem2(X_679,X_678,X_677)
<=> mem2(X_679,X_678,g_s334_325) )
& ! [X_680: $int,X_681: $int,X_682: $int] :
( ( mem2(X_680,X_681,X_677)
& mem2(X_680,X_682,X_677) )
=> ( X_681 = X_682 ) )
& ! [X_683: $int] :
( mem0(X_683,g_s335_326)
<=> ? [X_684: $int] : mem2(X_683,X_684,X_677) )
& ! [X_685: $int] :
( ? [X_686: $int] : mem2(X_686,X_685,X_677)
=> mem0(X_685,g_s246_246) ) ) ).
tff('Define:ctx:154',axiom,
? [X_687: set_2] :
( ! [X_688: $int,X_689: $int] :
( mem2(X_689,X_688,X_687)
<=> mem2(X_689,X_688,g_s336_327) )
& ! [X_690: $int,X_691: $int,X_692: $int] :
( ( mem2(X_690,X_691,X_687)
& mem2(X_690,X_692,X_687) )
=> ( X_691 = X_692 ) )
& ! [X_693: $int] :
( mem0(X_693,g_s51_51)
<=> ? [X_694: $int] : mem2(X_693,X_694,X_687) )
& ! [X_695: $int] :
( ? [X_696: $int] : mem2(X_696,X_695,X_687)
=> mem0(X_695,g_s246_246) ) ) ).
tff('Define:ctx:155',axiom,
? [X_697: set_2] :
( ! [X_698: $int,X_699: $int] :
( mem2(X_699,X_698,X_697)
<=> mem2(X_699,X_698,g_s337_328) )
& ! [X_700: $int,X_701: $int,X_702: $int] :
( ( mem2(X_700,X_701,X_697)
& mem2(X_700,X_702,X_697) )
=> ( X_701 = X_702 ) )
& ! [X_703: $int] :
( mem0(X_703,g_s12_12)
<=> ? [X_704: $int] : mem2(X_703,X_704,X_697) )
& ! [X_705: $int] :
( ? [X_706: $int] : mem2(X_706,X_705,X_697)
=> mem0(X_705,g_s246_246) ) ) ).
tff('Define:ctx:156',axiom,
? [X_707: set_2] :
( ! [X_708: $int,X_709: $int] :
( mem2(X_709,X_708,X_707)
<=> mem2(X_709,X_708,g_s338_329) )
& ! [X_710: $int,X_711: $int,X_712: $int] :
( ( mem2(X_710,X_711,X_707)
& mem2(X_710,X_712,X_707) )
=> ( X_711 = X_712 ) )
& ! [X_713: $int] :
( mem0(X_713,g_s339_330)
<=> ? [X_714: $int] : mem2(X_713,X_714,X_707) )
& ! [X_715: $int] :
( ? [X_716: $int] : mem2(X_716,X_715,X_707)
=> mem0(X_715,g_s243_243) ) ) ).
tff('Define:ctx:157',axiom,
? [X_717: set_2] :
( ! [X_718: $int,X_719: $int] :
( mem2(X_719,X_718,X_717)
<=> mem2(X_719,X_718,g_s340_331) )
& ! [X_720: $int,X_721: $int,X_722: $int] :
( ( mem2(X_720,X_721,X_717)
& mem2(X_720,X_722,X_717) )
=> ( X_721 = X_722 ) )
& ! [X_723: $int] :
( mem0(X_723,g_s218_218)
<=> ? [X_724: $int] : mem2(X_723,X_724,X_717) )
& ! [X_725: $int] :
( ? [X_726: $int] : mem2(X_726,X_725,X_717)
=> mem0(X_725,g_s246_246) ) ) ).
tff('Define:ctx:158',axiom,
? [X_727: set_2] :
( ! [X_728: $int,X_729: $int] :
( mem2(X_729,X_728,X_727)
<=> mem2(X_729,X_728,g_s341_332) )
& ! [X_730: $int,X_731: $int,X_732: $int] :
( ( mem2(X_730,X_731,X_727)
& mem2(X_730,X_732,X_727) )
=> ( X_731 = X_732 ) )
& ! [X_733: $int] :
( mem0(X_733,g_s232_232)
<=> ? [X_734: $int] : mem2(X_733,X_734,X_727) )
& ! [X_735: $int] :
( ? [X_736: $int] : mem2(X_736,X_735,X_727)
=> mem0(X_735,g_s246_246) ) ) ).
tff('Define:ctx:159',axiom,
? [X_737: set_2] :
( ! [X_738: $int,X_739: $int] :
( mem2(X_739,X_738,X_737)
<=> mem2(X_739,X_738,g_s342_333) )
& ! [X_740: $int,X_741: $int,X_742: $int] :
( ( mem2(X_740,X_741,X_737)
& mem2(X_740,X_742,X_737) )
=> ( X_741 = X_742 ) )
& ! [X_743: $int] :
( mem0(X_743,g_s213_213)
<=> ? [X_744: $int] : mem2(X_743,X_744,X_737) )
& ! [X_745: $int] :
( ? [X_746: $int] : mem2(X_746,X_745,X_737)
=> mem0(X_745,g_s246_246) ) ) ).
tff('Define:ctx:16',axiom,
( ! [X_21: $int] :
( mem0(X_21,g_s109_109)
<=> ( ( X_21 = g_s110_110 )
| ( X_21 = g_s111_111 )
| ( X_21 = g_s112_112 )
| ( X_21 = g_s113_113 ) ) )
& ( g_s110_110 != g_s111_111 )
& ( g_s111_111 != g_s112_112 )
& ( g_s112_112 != g_s113_113 ) ) ).
tff('Define:ctx:160',axiom,
? [X_747: set_2] :
( ! [X_748: $int,X_749: $int] :
( mem2(X_749,X_748,X_747)
<=> mem2(X_749,X_748,g_s343_334) )
& ! [X_750: $int,X_751: $int,X_752: $int] :
( ( mem2(X_750,X_751,X_747)
& mem2(X_750,X_752,X_747) )
=> ( X_751 = X_752 ) )
& ! [X_753: $int] :
( mem0(X_753,g_s222_222)
<=> ? [X_754: $int] : mem2(X_753,X_754,X_747) )
& ! [X_755: $int] :
( ? [X_756: $int] : mem2(X_756,X_755,X_747)
=> mem0(X_755,g_s246_246) ) ) ).
tff('Define:ctx:161',axiom,
? [X_757: set_2] :
( ! [X_758: $int,X_759: $int] :
( mem2(X_759,X_758,X_757)
<=> mem2(X_759,X_758,g_s344_335) )
& ! [X_760: $int,X_761: $int,X_762: $int] :
( ( mem2(X_760,X_761,X_757)
& mem2(X_760,X_762,X_757) )
=> ( X_761 = X_762 ) )
& ! [X_763: $int] :
( mem0(X_763,g_s195_195)
<=> ? [X_764: $int] : mem2(X_763,X_764,X_757) )
& ! [X_765: $int] :
( ? [X_766: $int] : mem2(X_766,X_765,X_757)
=> mem0(X_765,g_s246_246) ) ) ).
tff('Define:ctx:162',axiom,
? [X_767: set_2] :
( ! [X_768: $int,X_769: $int] :
( mem2(X_769,X_768,X_767)
<=> mem2(X_769,X_768,g_s345_336) )
& ! [X_770: $int,X_771: $int,X_772: $int] :
( ( mem2(X_770,X_771,X_767)
& mem2(X_770,X_772,X_767) )
=> ( X_771 = X_772 ) )
& ! [X_773: $int] :
( mem0(X_773,g_s227_227)
<=> ? [X_774: $int] : mem2(X_773,X_774,X_767) )
& ! [X_775: $int] :
( ? [X_776: $int] : mem2(X_776,X_775,X_767)
=> mem0(X_775,g_s246_246) ) ) ).
tff('Define:ctx:163',axiom,
? [X_777: set_2] :
( ! [X_778: $int,X_779: $int] :
( mem2(X_779,X_778,X_777)
<=> mem2(X_779,X_778,g_s346_337) )
& ! [X_780: $int,X_781: $int,X_782: $int] :
( ( mem2(X_780,X_781,X_777)
& mem2(X_780,X_782,X_777) )
=> ( X_781 = X_782 ) )
& ! [X_783: $int] :
( mem0(X_783,g_s202_202)
<=> ? [X_784: $int] : mem2(X_783,X_784,X_777) )
& ! [X_785: $int] :
( ? [X_786: $int] : mem2(X_786,X_785,X_777)
=> mem0(X_785,g_s246_246) ) ) ).
tff('Define:ctx:164',axiom,
mem3(g_s347_338,g_s249_249) ).
tff('Define:ctx:165',axiom,
mem3(g_s348_339,g_s249_249) ).
tff('Define:ctx:166',axiom,
mem0(g_s349_340,g_s248_248) ).
tff('Define:ctx:167',axiom,
mem0(g_s350_341,g_s248_248) ).
tff('Define:ctx:168',axiom,
mem0(g_s351_342,g_s248_248) ).
tff('Define:ctx:169',axiom,
mem0(g_s352_343,g_s248_248) ).
tff('Define:ctx:17',axiom,
( ! [X_22: $int] :
( mem0(X_22,g_s114_114)
<=> ( ( X_22 = g_s115_115 )
| ( X_22 = g_s116_116 )
| ( X_22 = g_s117_117 )
| ( X_22 = g_s118_118 )
| ( X_22 = g_s119_119 )
| ( X_22 = g_s120_120 )
| ( X_22 = g_s121_121 ) ) )
& ( g_s115_115 != g_s116_116 )
& ( g_s116_116 != g_s117_117 )
& ( g_s117_117 != g_s118_118 )
& ( g_s118_118 != g_s119_119 )
& ( g_s119_119 != g_s120_120 )
& ( g_s120_120 != g_s121_121 ) ) ).
tff('Define:ctx:170',axiom,
mem0(g_s353_344,g_s248_248) ).
tff('Define:ctx:171',axiom,
mem0(g_s354_345,g_s248_248) ).
tff('Define:ctx:172',axiom,
mem0(g_s355_346,g_s248_248) ).
tff('Define:ctx:173',axiom,
mem0(g_s356_347,g_s248_248) ).
tff('Define:ctx:174',axiom,
mem0(g_s357_348,g_s248_248) ).
tff('Define:ctx:175',axiom,
mem0(g_s358_349,g_s248_248) ).
tff('Define:ctx:176',axiom,
mem0(g_s359_350,g_s248_248) ).
tff('Define:ctx:177',axiom,
mem0(g_s360_351,g_s248_248) ).
tff('Define:ctx:178',axiom,
mem0(g_s361_352,g_s248_248) ).
tff('Define:ctx:179',axiom,
mem0(g_s362_353,g_s248_248) ).
tff('Define:ctx:18',axiom,
( ! [X_23: $int] :
( mem0(X_23,g_s122_122)
<=> ( ( X_23 = g_s123_123 )
| ( X_23 = g_s124_124 )
| ( X_23 = g_s125_125 )
| ( X_23 = g_s126_126 ) ) )
& ( g_s123_123 != g_s124_124 )
& ( g_s124_124 != g_s125_125 )
& ( g_s125_125 != g_s126_126 ) ) ).
tff('Define:ctx:180',axiom,
mem0(g_s363_354,g_s248_248) ).
tff('Define:ctx:181',axiom,
mem0(g_s364_355,g_s248_248) ).
tff('Define:ctx:182',axiom,
mem0(g_s365_356,g_s248_248) ).
tff('Define:ctx:183',axiom,
mem0(g_s366_357,g_s248_248) ).
tff('Define:ctx:184',axiom,
mem0(g_s367_358,g_s248_248) ).
tff('Define:ctx:185',axiom,
mem0(g_s368_359,g_s248_248) ).
tff('Define:ctx:186',axiom,
mem0(g_s369_360,g_s248_248) ).
tff('Define:ctx:187',axiom,
mem0(g_s370_361,g_s248_248) ).
tff('Define:ctx:188',axiom,
mem0(g_s371_362,g_s248_248) ).
tff('Define:ctx:189',axiom,
mem0(g_s372_363,g_s248_248) ).
tff('Define:ctx:19',axiom,
( ! [X_24: $int] :
( mem0(X_24,g_s127_127)
<=> ( ( X_24 = g_s128_128 )
| ( X_24 = g_s129_129 )
| ( X_24 = g_s130_130 )
| ( X_24 = g_s131_131 )
| ( X_24 = g_s132_132 ) ) )
& ( g_s128_128 != g_s129_129 )
& ( g_s129_129 != g_s130_130 )
& ( g_s130_130 != g_s131_131 )
& ( g_s131_131 != g_s132_132 ) ) ).
tff('Define:ctx:190',axiom,
mem0(g_s373_364,g_s248_248) ).
tff('Define:ctx:191',axiom,
mem0(g_s374_365,g_s248_248) ).
tff('Define:ctx:192',axiom,
mem0(g_s375_366,g_s248_248) ).
tff('Define:ctx:193',axiom,
mem0(g_s376_367,g_s248_248) ).
tff('Define:ctx:194',axiom,
mem0(g_s377_368,g_s248_248) ).
tff('Define:ctx:195',axiom,
mem0(g_s378_369,g_s248_248) ).
tff('Define:ctx:196',axiom,
mem0(g_s379_370,g_s248_248) ).
tff('Define:ctx:197',axiom,
mem0(g_s380_371,g_s248_248) ).
tff('Define:ctx:198',axiom,
mem0(g_s381_372,g_s248_248) ).
tff('Define:ctx:199',axiom,
mem0(g_s382_373,g_s248_248) ).
tff('Define:ctx:2',axiom,
( ! [X_7: $int] :
( mem0(X_7,g_s8_8)
<=> ( ( X_7 = g_s9_9 )
| ( X_7 = g_s10_10 )
| ( X_7 = g_s11_11 ) ) )
& ( g_s9_9 != g_s10_10 )
& ( g_s10_10 != g_s11_11 ) ) ).
tff('Define:ctx:20',axiom,
( ~ ! [X_25: $int] :
( mem0(X_25,g_s133_133)
<=> $false )
& ! [X_28: $int] :
( mem0(X_28,g_s133_133)
=> $true )
& ? [X_26: $int,X_27: set_2] :
( ? [X_29: set_2] :
( ! [X_30: $int,X_31: $int] :
( mem2(X_31,X_30,X_29)
<=> mem2(X_31,X_30,X_27) )
& ! [X_32: $int,X_33: $int,X_34: $int] :
( ( mem2(X_32,X_33,X_29)
& mem2(X_32,X_34,X_29) )
=> ( X_33 = X_34 ) )
& ! [X_35: $int] :
( ( $greatereq(X_35,1)
& $lesseq(X_35,X_26) )
<=> ? [X_36: $int] : mem2(X_35,X_36,X_29) )
& ! [X_37: $int] :
( ? [X_38: $int] : mem2(X_38,X_37,X_29)
=> mem0(X_37,g_s133_133) ) )
& ! [X_39: $int] :
( mem0(X_39,g_s133_133)
=> ? [X_40: $int] : mem2(X_40,X_39,X_27) )
& ! [X_41: $int,X_42: $int,X_43: $int] :
( ( mem2(X_42,X_41,X_27)
& mem2(X_43,X_41,X_27) )
=> ( X_42 = X_43 ) ) ) ) ).
tff('Define:ctx:200',axiom,
mem0(g_s383_374,g_s248_248) ).
tff('Define:ctx:201',axiom,
mem0(g_s384_375,g_s248_248) ).
tff('Define:ctx:202',axiom,
mem0(g_s385_376,g_s248_248) ).
tff('Define:ctx:203',axiom,
mem0(g_s386_377,g_s248_248) ).
tff('Define:ctx:204',axiom,
mem0(g_s387_378,g_s248_248) ).
tff('Define:ctx:205',axiom,
mem0(g_s388_379,g_s248_248) ).
tff('Define:ctx:206',axiom,
mem0(g_s389_380,g_s248_248) ).
tff('Define:ctx:207',axiom,
mem0(g_s390_381,g_s248_248) ).
tff('Define:ctx:208',axiom,
mem0(g_s391_382,g_s248_248) ).
tff('Define:ctx:209',axiom,
mem0(g_s392_383,g_s248_248) ).
tff('Define:ctx:21',axiom,
( ~ ! [X_44: $int] :
( mem0(X_44,g_s134_134)
<=> $false )
& ! [X_47: $int] :
( mem0(X_47,g_s134_134)
=> $true )
& ? [X_45: $int,X_46: set_2] :
( ? [X_48: set_2] :
( ! [X_49: $int,X_50: $int] :
( mem2(X_50,X_49,X_48)
<=> mem2(X_50,X_49,X_46) )
& ! [X_51: $int,X_52: $int,X_53: $int] :
( ( mem2(X_51,X_52,X_48)
& mem2(X_51,X_53,X_48) )
=> ( X_52 = X_53 ) )
& ! [X_54: $int] :
( ( $greatereq(X_54,1)
& $lesseq(X_54,X_45) )
<=> ? [X_55: $int] : mem2(X_54,X_55,X_48) )
& ! [X_56: $int] :
( ? [X_57: $int] : mem2(X_57,X_56,X_48)
=> mem0(X_56,g_s134_134) ) )
& ! [X_58: $int] :
( mem0(X_58,g_s134_134)
=> ? [X_59: $int] : mem2(X_59,X_58,X_46) )
& ! [X_60: $int,X_61: $int,X_62: $int] :
( ( mem2(X_61,X_60,X_46)
& mem2(X_62,X_60,X_46) )
=> ( X_61 = X_62 ) ) ) ) ).
tff('Define:ctx:210',axiom,
mem0(g_s393_384,g_s248_248) ).
tff('Define:ctx:211',axiom,
mem0(g_s394_385,g_s248_248) ).
tff('Define:ctx:212',axiom,
mem0(g_s395_386,g_s248_248) ).
tff('Define:ctx:213',axiom,
mem0(g_s396_387,g_s248_248) ).
tff('Define:ctx:214',axiom,
mem0(g_s397_388,g_s248_248) ).
tff('Define:ctx:215',axiom,
mem0(g_s398_389,g_s248_248) ).
tff('Define:ctx:216',axiom,
mem0(g_s399_390,g_s248_248) ).
tff('Define:ctx:217',axiom,
mem0(g_s400_391,g_s248_248) ).
tff('Define:ctx:218',axiom,
mem0(g_s401_392,g_s248_248) ).
tff('Define:ctx:219',axiom,
mem0(g_s402_393,g_s248_248) ).
tff('Define:ctx:22',axiom,
( ~ ! [X_63: $int] :
( mem0(X_63,g_s135_135)
<=> $false )
& ! [X_66: $int] :
( mem0(X_66,g_s135_135)
=> $true )
& ? [X_64: $int,X_65: set_2] :
( ? [X_67: set_2] :
( ! [X_68: $int,X_69: $int] :
( mem2(X_69,X_68,X_67)
<=> mem2(X_69,X_68,X_65) )
& ! [X_70: $int,X_71: $int,X_72: $int] :
( ( mem2(X_70,X_71,X_67)
& mem2(X_70,X_72,X_67) )
=> ( X_71 = X_72 ) )
& ! [X_73: $int] :
( ( $greatereq(X_73,1)
& $lesseq(X_73,X_64) )
<=> ? [X_74: $int] : mem2(X_73,X_74,X_67) )
& ! [X_75: $int] :
( ? [X_76: $int] : mem2(X_76,X_75,X_67)
=> mem0(X_75,g_s135_135) ) )
& ! [X_77: $int] :
( mem0(X_77,g_s135_135)
=> ? [X_78: $int] : mem2(X_78,X_77,X_65) )
& ! [X_79: $int,X_80: $int,X_81: $int] :
( ( mem2(X_80,X_79,X_65)
& mem2(X_81,X_79,X_65) )
=> ( X_80 = X_81 ) ) ) ) ).
tff('Define:ctx:220',axiom,
mem0(g_s403_394,g_s248_248) ).
tff('Define:ctx:221',axiom,
mem0(g_s404_395,g_s248_248) ).
tff('Define:ctx:222',axiom,
mem0(g_s405_396,g_s248_248) ).
tff('Define:ctx:223',axiom,
mem0(g_s406_397,g_s248_248) ).
tff('Define:ctx:224',axiom,
mem0(g_s407_398,g_s248_248) ).
tff('Define:ctx:225',axiom,
mem0(g_s408_399,g_s248_248) ).
tff('Define:ctx:226',axiom,
mem0(g_s409_400,g_s248_248) ).
tff('Define:ctx:227',axiom,
mem0(g_s410_401,g_s248_248) ).
tff('Define:ctx:228',axiom,
mem0(g_s411_402,g_s248_248) ).
tff('Define:ctx:229',axiom,
mem0(g_s412_403,g_s248_248) ).
tff('Define:ctx:23',axiom,
( ~ ! [X_82: $int] :
( mem0(X_82,g_s136_136)
<=> $false )
& ! [X_85: $int] :
( mem0(X_85,g_s136_136)
=> $true )
& ? [X_83: $int,X_84: set_2] :
( ? [X_86: set_2] :
( ! [X_87: $int,X_88: $int] :
( mem2(X_88,X_87,X_86)
<=> mem2(X_88,X_87,X_84) )
& ! [X_89: $int,X_90: $int,X_91: $int] :
( ( mem2(X_89,X_90,X_86)
& mem2(X_89,X_91,X_86) )
=> ( X_90 = X_91 ) )
& ! [X_92: $int] :
( ( $greatereq(X_92,1)
& $lesseq(X_92,X_83) )
<=> ? [X_93: $int] : mem2(X_92,X_93,X_86) )
& ! [X_94: $int] :
( ? [X_95: $int] : mem2(X_95,X_94,X_86)
=> mem0(X_94,g_s136_136) ) )
& ! [X_96: $int] :
( mem0(X_96,g_s136_136)
=> ? [X_97: $int] : mem2(X_97,X_96,X_84) )
& ! [X_98: $int,X_99: $int,X_100: $int] :
( ( mem2(X_99,X_98,X_84)
& mem2(X_100,X_98,X_84) )
=> ( X_99 = X_100 ) ) ) ) ).
tff('Define:ctx:230',axiom,
mem0(g_s413_404,g_s248_248) ).
tff('Define:ctx:231',axiom,
mem0(g_s414_405,g_s248_248) ).
tff('Define:ctx:232',axiom,
mem0(g_s415_406,g_s248_248) ).
tff('Define:ctx:233',axiom,
mem0(g_s416_407,g_s248_248) ).
tff('Define:ctx:234',axiom,
mem0(g_s417_408,g_s248_248) ).
tff('Define:ctx:235',axiom,
mem0(g_s418_409,g_s248_248) ).
tff('Define:ctx:236',axiom,
mem0(g_s419_410,g_s248_248) ).
tff('Define:ctx:237',axiom,
mem0(g_s420_411,g_s248_248) ).
tff('Define:ctx:238',axiom,
mem0(g_s421_412,g_s248_248) ).
tff('Define:ctx:239',axiom,
mem0(g_s422_413,g_s248_248) ).
tff('Define:ctx:24',axiom,
( ! [X_101: $int] :
( mem0(X_101,g_s137_137)
<=> ( ( X_101 = g_s138_138 )
| ( X_101 = g_s139_139 )
| ( X_101 = g_s140_140 )
| ( X_101 = g_s141_141 )
| ( X_101 = g_s142_142 )
| ( X_101 = g_s143_143 )
| ( X_101 = g_s144_144 )
| ( X_101 = g_s145_145 )
| ( X_101 = g_s146_146 )
| ( X_101 = g_s147_147 )
| ( X_101 = g_s148_148 )
| ( X_101 = g_s149_149 )
| ( X_101 = g_s150_150 )
| ( X_101 = g_s151_151 )
| ( X_101 = g_s152_152 )
| ( X_101 = g_s153_153 )
| ( X_101 = g_s154_154 ) ) )
& ( g_s138_138 != g_s139_139 )
& ( g_s139_139 != g_s140_140 )
& ( g_s140_140 != g_s141_141 )
& ( g_s141_141 != g_s142_142 )
& ( g_s142_142 != g_s143_143 )
& ( g_s143_143 != g_s144_144 )
& ( g_s144_144 != g_s145_145 )
& ( g_s145_145 != g_s146_146 )
& ( g_s146_146 != g_s147_147 )
& ( g_s147_147 != g_s148_148 )
& ( g_s148_148 != g_s149_149 )
& ( g_s149_149 != g_s150_150 )
& ( g_s150_150 != g_s151_151 )
& ( g_s151_151 != g_s152_152 )
& ( g_s152_152 != g_s153_153 )
& ( g_s153_153 != g_s154_154 ) ) ).
tff('Define:ctx:240',axiom,
mem0(g_s423_414,g_s248_248) ).
tff('Define:ctx:241',axiom,
mem0(g_s424_415,g_s248_248) ).
tff('Define:ctx:242',axiom,
mem0(g_s425_416,g_s248_248) ).
tff('Define:ctx:243',axiom,
mem0(g_s426_417,g_s248_248) ).
tff('Define:ctx:244',axiom,
mem0(g_s427_418,g_s248_248) ).
tff('Define:ctx:245',axiom,
mem0(g_s428_419,g_s248_248) ).
tff('Define:ctx:246',axiom,
mem0(g_s429_420,g_s248_248) ).
tff('Define:ctx:247',axiom,
mem0(g_s430_421,g_s248_248) ).
tff('Define:ctx:248',axiom,
mem0(g_s431_422,g_s248_248) ).
tff('Define:ctx:249',axiom,
mem0(g_s432_423,g_s248_248) ).
tff('Define:ctx:25',axiom,
( ! [X_102: $int] :
( mem0(X_102,g_s155_155)
<=> ( ( X_102 = g_s156_156 )
| ( X_102 = g_s157_157 )
| ( X_102 = g_s158_158 )
| ( X_102 = g_s159_159 )
| ( X_102 = g_s160_160 )
| ( X_102 = g_s161_161 )
| ( X_102 = g_s162_162 )
| ( X_102 = g_s163_163 )
| ( X_102 = g_s164_164 )
| ( X_102 = g_s165_165 )
| ( X_102 = g_s166_166 )
| ( X_102 = g_s167_167 )
| ( X_102 = g_s168_168 )
| ( X_102 = g_s169_169 )
| ( X_102 = g_s170_170 )
| ( X_102 = g_s171_171 )
| ( X_102 = g_s172_172 ) ) )
& ( g_s156_156 != g_s157_157 )
& ( g_s157_157 != g_s158_158 )
& ( g_s158_158 != g_s159_159 )
& ( g_s159_159 != g_s160_160 )
& ( g_s160_160 != g_s161_161 )
& ( g_s161_161 != g_s162_162 )
& ( g_s162_162 != g_s163_163 )
& ( g_s163_163 != g_s164_164 )
& ( g_s164_164 != g_s165_165 )
& ( g_s165_165 != g_s166_166 )
& ( g_s166_166 != g_s167_167 )
& ( g_s167_167 != g_s168_168 )
& ( g_s168_168 != g_s169_169 )
& ( g_s169_169 != g_s170_170 )
& ( g_s170_170 != g_s171_171 )
& ( g_s171_171 != g_s172_172 ) ) ).
tff('Define:ctx:250',axiom,
mem0(g_s433_424,g_s248_248) ).
tff('Define:ctx:251',axiom,
mem0(g_s434_425,g_s245_245) ).
tff('Define:ctx:252',axiom,
mem0(g_s435_426,g_s245_245) ).
tff('Define:ctx:253',axiom,
mem0(g_s436_427,g_s245_245) ).
tff('Define:ctx:254',axiom,
( g_s347_338
<=> $true ) ).
tff('Define:ctx:255',axiom,
( g_s348_339
<=> $false ) ).
tff('Define:ctx:256',axiom,
g_s349_340 = $uminus(1000000000) ).
tff('Define:ctx:257',axiom,
g_s350_341 = $uminus(10000) ).
tff('Define:ctx:258',axiom,
g_s351_342 = $uminus(1) ).
tff('Define:ctx:259',axiom,
g_s352_343 = 0 ).
tff('Define:ctx:26',axiom,
( ! [X_103: $int] :
( mem0(X_103,g_s173_173)
<=> ( ( X_103 = g_s174_174 )
| ( X_103 = g_s175_175 )
| ( X_103 = g_s176_176 ) ) )
& ( g_s174_174 != g_s175_175 )
& ( g_s175_175 != g_s176_176 ) ) ).
tff('Define:ctx:260',axiom,
g_s353_344 = 1 ).
tff('Define:ctx:261',axiom,
g_s354_345 = 2 ).
tff('Define:ctx:262',axiom,
g_s355_346 = 3 ).
tff('Define:ctx:263',axiom,
g_s356_347 = 4 ).
tff('Define:ctx:264',axiom,
g_s357_348 = 5 ).
tff('Define:ctx:265',axiom,
g_s358_349 = 6 ).
tff('Define:ctx:266',axiom,
g_s359_350 = 7 ).
tff('Define:ctx:267',axiom,
g_s360_351 = 8 ).
tff('Define:ctx:268',axiom,
g_s361_352 = 9 ).
tff('Define:ctx:269',axiom,
g_s362_353 = 10 ).
tff('Define:ctx:27',axiom,
( ! [X_104: $int] :
( mem0(X_104,g_s177_177)
<=> ( ( X_104 = g_s178_178 )
| ( X_104 = g_s179_179 ) ) )
& ( g_s178_178 != g_s179_179 ) ) ).
tff('Define:ctx:270',axiom,
g_s363_354 = 11 ).
tff('Define:ctx:271',axiom,
g_s364_355 = 12 ).
tff('Define:ctx:272',axiom,
g_s365_356 = 13 ).
tff('Define:ctx:273',axiom,
g_s366_357 = 14 ).
tff('Define:ctx:274',axiom,
g_s367_358 = 15 ).
tff('Define:ctx:275',axiom,
g_s368_359 = 16 ).
tff('Define:ctx:276',axiom,
g_s369_360 = 17 ).
tff('Define:ctx:277',axiom,
g_s370_361 = 18 ).
tff('Define:ctx:278',axiom,
g_s371_362 = 19 ).
tff('Define:ctx:279',axiom,
g_s372_363 = 20 ).
tff('Define:ctx:28',axiom,
( ! [X_105: $int] :
( mem0(X_105,g_s180_180)
<=> ( ( X_105 = g_s181_181 )
| ( X_105 = g_s182_182 )
| ( X_105 = g_s183_183 )
| ( X_105 = g_s184_184 )
| ( X_105 = g_s185_185 )
| ( X_105 = g_s186_186 )
| ( X_105 = g_s187_187 )
| ( X_105 = g_s188_188 )
| ( X_105 = g_s189_189 ) ) )
& ( g_s181_181 != g_s182_182 )
& ( g_s182_182 != g_s183_183 )
& ( g_s183_183 != g_s184_184 )
& ( g_s184_184 != g_s185_185 )
& ( g_s185_185 != g_s186_186 )
& ( g_s186_186 != g_s187_187 )
& ( g_s187_187 != g_s188_188 )
& ( g_s188_188 != g_s189_189 ) ) ).
tff('Define:ctx:280',axiom,
g_s373_364 = 21 ).
tff('Define:ctx:281',axiom,
g_s374_365 = 22 ).
tff('Define:ctx:282',axiom,
g_s375_366 = 23 ).
tff('Define:ctx:283',axiom,
g_s376_367 = 24 ).
tff('Define:ctx:284',axiom,
g_s377_368 = 25 ).
tff('Define:ctx:285',axiom,
g_s378_369 = 26 ).
tff('Define:ctx:286',axiom,
g_s379_370 = 27 ).
tff('Define:ctx:287',axiom,
g_s380_371 = 28 ).
tff('Define:ctx:288',axiom,
g_s381_372 = 29 ).
tff('Define:ctx:289',axiom,
g_s382_373 = 30 ).
tff('Define:ctx:29',axiom,
( ! [X_106: $int] :
( mem0(X_106,g_s190_190)
<=> ( ( X_106 = g_s191_191 )
| ( X_106 = g_s192_192 )
| ( X_106 = g_s193_193 )
| ( X_106 = g_s194_194 ) ) )
& ( g_s191_191 != g_s192_192 )
& ( g_s192_192 != g_s193_193 )
& ( g_s193_193 != g_s194_194 ) ) ).
tff('Define:ctx:290',axiom,
g_s383_374 = 31 ).
tff('Define:ctx:291',axiom,
g_s384_375 = 32 ).
tff('Define:ctx:292',axiom,
g_s385_376 = 33 ).
tff('Define:ctx:293',axiom,
g_s386_377 = 34 ).
tff('Define:ctx:294',axiom,
g_s387_378 = 35 ).
tff('Define:ctx:295',axiom,
g_s388_379 = 36 ).
tff('Define:ctx:296',axiom,
g_s389_380 = 37 ).
tff('Define:ctx:297',axiom,
g_s390_381 = 38 ).
tff('Define:ctx:298',axiom,
g_s391_382 = 39 ).
tff('Define:ctx:299',axiom,
g_s392_383 = 40 ).
tff('Define:ctx:3',axiom,
( ! [X_8: $int] :
( mem0(X_8,g_s12_12)
<=> ( ( X_8 = g_s13_13 )
| ( X_8 = g_s14_14 )
| ( X_8 = g_s15_15 ) ) )
& ( g_s13_13 != g_s14_14 )
& ( g_s14_14 != g_s15_15 ) ) ).
tff('Define:ctx:30',axiom,
( ! [X_107: $int] :
( mem0(X_107,g_s195_195)
<=> ( ( X_107 = g_s196_196 )
| ( X_107 = g_s197_197 )
| ( X_107 = g_s198_198 )
| ( X_107 = g_s199_199 )
| ( X_107 = g_s200_200 )
| ( X_107 = g_s201_201 ) ) )
& ( g_s196_196 != g_s197_197 )
& ( g_s197_197 != g_s198_198 )
& ( g_s198_198 != g_s199_199 )
& ( g_s199_199 != g_s200_200 )
& ( g_s200_200 != g_s201_201 ) ) ).
tff('Define:ctx:300',axiom,
g_s393_384 = 41 ).
tff('Define:ctx:301',axiom,
g_s394_385 = 42 ).
tff('Define:ctx:302',axiom,
g_s395_386 = 43 ).
tff('Define:ctx:303',axiom,
g_s396_387 = 44 ).
tff('Define:ctx:304',axiom,
g_s397_388 = 45 ).
tff('Define:ctx:305',axiom,
g_s398_389 = 46 ).
tff('Define:ctx:306',axiom,
g_s399_390 = 47 ).
tff('Define:ctx:307',axiom,
g_s400_391 = 48 ).
tff('Define:ctx:308',axiom,
g_s401_392 = 49 ).
tff('Define:ctx:309',axiom,
g_s402_393 = 50 ).
tff('Define:ctx:31',axiom,
( ! [X_108: $int] :
( mem0(X_108,g_s202_202)
<=> ( ( X_108 = g_s203_203 )
| ( X_108 = g_s204_204 )
| ( X_108 = g_s205_205 )
| ( X_108 = g_s206_206 )
| ( X_108 = g_s207_207 )
| ( X_108 = g_s208_208 ) ) )
& ( g_s203_203 != g_s204_204 )
& ( g_s204_204 != g_s205_205 )
& ( g_s205_205 != g_s206_206 )
& ( g_s206_206 != g_s207_207 )
& ( g_s207_207 != g_s208_208 ) ) ).
tff('Define:ctx:310',axiom,
g_s403_394 = 51 ).
tff('Define:ctx:311',axiom,
g_s404_395 = 52 ).
tff('Define:ctx:312',axiom,
g_s405_396 = 53 ).
tff('Define:ctx:313',axiom,
g_s406_397 = 54 ).
tff('Define:ctx:314',axiom,
g_s407_398 = 55 ).
tff('Define:ctx:315',axiom,
g_s408_399 = 56 ).
tff('Define:ctx:316',axiom,
g_s409_400 = 57 ).
tff('Define:ctx:317',axiom,
g_s410_401 = 58 ).
tff('Define:ctx:318',axiom,
g_s411_402 = 59 ).
tff('Define:ctx:319',axiom,
g_s412_403 = 60 ).
tff('Define:ctx:32',axiom,
( ! [X_109: $int] :
( mem0(X_109,g_s209_209)
<=> ( ( X_109 = g_s210_210 )
| ( X_109 = g_s211_211 )
| ( X_109 = g_s212_212 ) ) )
& ( g_s210_210 != g_s211_211 )
& ( g_s211_211 != g_s212_212 ) ) ).
tff('Define:ctx:320',axiom,
g_s413_404 = 61 ).
tff('Define:ctx:321',axiom,
g_s414_405 = 62 ).
tff('Define:ctx:322',axiom,
g_s415_406 = 63 ).
tff('Define:ctx:323',axiom,
g_s416_407 = 64 ).
tff('Define:ctx:324',axiom,
g_s417_408 = 128 ).
tff('Define:ctx:325',axiom,
g_s418_409 = 200 ).
tff('Define:ctx:326',axiom,
g_s419_410 = 256 ).
tff('Define:ctx:327',axiom,
g_s420_411 = 288 ).
tff('Define:ctx:328',axiom,
g_s421_412 = 336 ).
tff('Define:ctx:329',axiom,
g_s422_413 = 1000 ).
tff('Define:ctx:33',axiom,
( ! [X_110: $int] :
( mem0(X_110,g_s213_213)
<=> ( ( X_110 = g_s214_214 )
| ( X_110 = g_s215_215 )
| ( X_110 = g_s216_216 )
| ( X_110 = g_s217_217 ) ) )
& ( g_s214_214 != g_s215_215 )
& ( g_s215_215 != g_s216_216 )
& ( g_s216_216 != g_s217_217 ) ) ).
tff('Define:ctx:330',axiom,
g_s423_414 = 1024 ).
tff('Define:ctx:331',axiom,
g_s424_415 = 7680 ).
tff('Define:ctx:332',axiom,
g_s425_416 = 131072 ).
tff('Define:ctx:333',axiom,
g_s433_424 = 5242880 ).
tff('Define:ctx:334',axiom,
g_s426_417 = 2147483647 ).
tff('Define:ctx:335',axiom,
g_s427_418 = 2147483646 ).
tff('Define:ctx:336',axiom,
g_s430_421 = 1073741824 ).
tff('Define:ctx:337',axiom,
g_s431_422 = $uminus(1073741824) ).
tff('Define:ctx:338',axiom,
g_s429_420 = $uminus(2147483647) ).
tff('Define:ctx:339',axiom,
g_s432_423 = 1073741823 ).
tff('Define:ctx:34',axiom,
( ! [X_111: $int] :
( mem0(X_111,g_s218_218)
<=> ( ( X_111 = g_s219_219 )
| ( X_111 = g_s220_220 )
| ( X_111 = g_s221_221 ) ) )
& ( g_s219_219 != g_s220_220 )
& ( g_s220_220 != g_s221_221 ) ) ).
tff('Define:ctx:340',axiom,
g_s434_425 = 0 ).
tff('Define:ctx:341',axiom,
g_s435_426 = 1 ).
tff('Define:ctx:342',axiom,
g_s436_427 = 2 ).
tff('Define:ctx:343',axiom,
mem0(g_s437_428,g_s248_248) ).
tff('Define:ctx:344',axiom,
mem0(g_s438_429,g_s248_248) ).
tff('Define:ctx:345',axiom,
mem0(g_s439_430,g_s248_248) ).
tff('Define:ctx:346',axiom,
mem0(g_s440_431,g_s248_248) ).
tff('Define:ctx:347',axiom,
mem0(g_s441_432,g_s248_248) ).
tff('Define:ctx:348',axiom,
mem0(g_s442_433,g_s248_248) ).
tff('Define:ctx:349',axiom,
mem0(g_s443_434,g_s248_248) ).
tff('Define:ctx:35',axiom,
( ! [X_112: $int] :
( mem0(X_112,g_s222_222)
<=> ( ( X_112 = g_s223_223 )
| ( X_112 = g_s224_224 )
| ( X_112 = g_s225_225 )
| ( X_112 = g_s226_226 ) ) )
& ( g_s223_223 != g_s224_224 )
& ( g_s224_224 != g_s225_225 )
& ( g_s225_225 != g_s226_226 ) ) ).
tff('Define:ctx:350',axiom,
mem0(g_s444_435,g_s248_248) ).
tff('Define:ctx:351',axiom,
g_s437_428 = 4096 ).
tff('Define:ctx:352',axiom,
g_s438_429 = 8192 ).
tff('Define:ctx:353',axiom,
g_s439_430 = 12288 ).
tff('Define:ctx:354',axiom,
g_s440_431 = 16384 ).
tff('Define:ctx:355',axiom,
g_s441_432 = 20480 ).
tff('Define:ctx:356',axiom,
g_s442_433 = 24576 ).
tff('Define:ctx:357',axiom,
g_s443_434 = 28672 ).
tff('Define:ctx:358',axiom,
g_s444_435 = 32768 ).
tff('Define:ctx:359',axiom,
! [X_787: $int] :
( mem0(X_787,g_s335_326)
=> mem0(X_787,g_s4_4) ) ).
tff('Define:ctx:36',axiom,
( ! [X_113: $int] :
( mem0(X_113,g_s227_227)
<=> ( ( X_113 = g_s228_228 )
| ( X_113 = g_s229_229 )
| ( X_113 = g_s230_230 )
| ( X_113 = g_s231_231 ) ) )
& ( g_s228_228 != g_s229_229 )
& ( g_s229_229 != g_s230_230 )
& ( g_s230_230 != g_s231_231 ) ) ).
tff('Define:ctx:360',axiom,
! [X_788: $int] :
( mem0(X_788,g_s335_326)
<=> ( ( X_788 = g_s6_6 )
| ( X_788 = g_s7_7 ) ) ) ).
tff('Define:ctx:361',axiom,
! [X_789: $int] :
( mem0(X_789,g_s445_436)
<=> ( $greatereq(X_789,min_int)
& $lesseq(X_789,max_int) ) ) ).
tff('Define:ctx:362',axiom,
! [X_790: $int] :
( mem0(X_790,g_s446_437)
<=> ( $greatereq(X_790,min_int)
& $lesseq(X_790,max_int) ) ) ).
tff('Define:ctx:363',axiom,
! [X_791: $int] :
( mem0(X_791,g_s447_438)
<=> ( $greatereq(X_791,min_int)
& $lesseq(X_791,max_int) ) ) ).
tff('Define:ctx:364',axiom,
! [X_792: $int] :
( mem0(X_792,g_s448_439)
<=> ( $greatereq(X_792,min_int)
& $lesseq(X_792,max_int) ) ) ).
tff('Define:ctx:365',axiom,
! [X_793: $int] :
( mem0(X_793,g_s449_440)
<=> ( $greatereq(X_793,min_int)
& $lesseq(X_793,max_int) ) ) ).
tff('Define:ctx:366',axiom,
! [X_794: $int] :
( mem0(X_794,g_s450_441)
<=> ( $greatereq(X_794,min_int)
& $lesseq(X_794,max_int) ) ) ).
tff('Define:ctx:367',axiom,
! [X_795: $int] :
( mem0(X_795,g_s451_442)
<=> ( $greatereq(X_795,0)
& $lesseq(X_795,max_int) ) ) ).
tff('Define:ctx:368',axiom,
! [X_796: $int] :
( mem0(X_796,g_s452_443)
<=> ( $greatereq(X_796,min_int)
& $lesseq(X_796,max_int) ) ) ).
tff('Define:ctx:369',axiom,
! [X_797: $int] :
( mem0(X_797,g_s453_444)
<=> ( $greatereq(X_797,min_int)
& $lesseq(X_797,max_int) ) ) ).
tff('Define:ctx:37',axiom,
( ! [X_114: $int] :
( mem0(X_114,g_s232_232)
<=> ( ( X_114 = g_s233_233 )
| ( X_114 = g_s234_234 )
| ( X_114 = g_s235_235 )
| ( X_114 = g_s236_236 ) ) )
& ( g_s233_233 != g_s234_234 )
& ( g_s234_234 != g_s235_235 )
& ( g_s235_235 != g_s236_236 ) ) ).
tff('Define:ctx:370',axiom,
! [X_798: $int] :
( mem0(X_798,g_s454_445)
<=> ( $greatereq(X_798,min_int)
& $lesseq(X_798,max_int) ) ) ).
tff('Define:ctx:371',axiom,
! [X_799: $int] :
( mem0(X_799,g_s455_446)
<=> ( $greatereq(X_799,0)
& $lesseq(X_799,max_int) ) ) ).
tff('Define:ctx:372',axiom,
! [X_800: $int] :
( mem0(X_800,g_s456_447)
<=> ( $greatereq(X_800,min_int)
& $lesseq(X_800,max_int) ) ) ).
tff('Define:ctx:373',axiom,
! [X_801: $int] :
( mem0(X_801,g_s457_448)
<=> ( $greatereq(X_801,0)
& $lesseq(X_801,max_int) ) ) ).
tff('Define:ctx:374',axiom,
! [X_802: $int] :
( mem0(X_802,g_s458_449)
<=> ( $greatereq(X_802,0)
& $lesseq(X_802,max_int) ) ) ).
tff('Define:ctx:375',axiom,
! [X_803: $int] :
( mem0(X_803,g_s459_450)
<=> ( $greatereq(X_803,0)
& $lesseq(X_803,max_int) ) ) ).
tff('Define:ctx:376',axiom,
! [X_804: $int] :
( mem0(X_804,g_s460_451)
=> mem0(X_804,g_s335_326) ) ).
tff('Define:ctx:377',axiom,
! [X_805: $int] :
( mem0(X_805,g_s460_451)
<=> mem0(X_805,g_s335_326) ) ).
tff('Define:ctx:378',axiom,
! [X_806: $int] :
( mem0(X_806,g_s461_452)
=> mem0(X_806,g_s12_12) ) ).
tff('Define:ctx:379',axiom,
! [X_807: $int] :
( mem0(X_807,g_s461_452)
<=> mem0(X_807,g_s12_12) ) ).
tff('Define:ctx:38',axiom,
( ! [X_115: $int] :
( mem0(X_115,g_s237_237)
<=> ( ( X_115 = g_s238_238 )
| ( X_115 = g_s239_239 )
| ( X_115 = g_s240_240 ) ) )
& ( g_s238_238 != g_s239_239 )
& ( g_s239_239 != g_s240_240 ) ) ).
tff('Define:ctx:380',axiom,
! [X_808: $int] :
( mem0(X_808,g_s462_453)
=> mem0(X_808,g_s60_60) ) ).
tff('Define:ctx:381',axiom,
! [X_809: $int] :
( mem0(X_809,g_s462_453)
<=> ( ( X_809 = g_s61_61 )
| ( X_809 = g_s62_62 )
| ( X_809 = g_s63_63 )
| ( X_809 = g_s64_64 )
| ( X_809 = g_s65_65 )
| ( X_809 = g_s66_66 )
| ( X_809 = g_s67_67 )
| ( X_809 = g_s68_68 )
| ( X_809 = g_s69_69 )
| ( X_809 = g_s70_70 )
| ( X_809 = g_s71_71 )
| ( X_809 = g_s75_75 ) ) ) ).
tff('Define:ctx:382',axiom,
! [X_810: $int] :
( mem0(X_810,g_s463_454)
<=> mem0(X_810,g_s76_76) ) ).
tff('Define:ctx:383',axiom,
! [X_811: $int] :
( mem0(X_811,g_s464_455)
<=> mem0(X_811,g_s462_453) ) ).
tff('Define:ctx:384',axiom,
! [X_812: $int] :
( mem0(X_812,g_s465_456)
<=> mem0(X_812,g_s463_454) ) ).
tff('Define:ctx:385',axiom,
! [X_813: $int] :
( mem0(X_813,g_s466_457)
<=> mem0(X_813,g_s114_114) ) ).
tff('Define:ctx:386',axiom,
! [X_814: $int] :
( mem0(X_814,g_s467_458)
<=> mem0(X_814,g_s60_60) ) ).
tff('Define:ctx:387',axiom,
! [X_815: $int] :
( mem0(X_815,g_s468_459)
<=> mem0(X_815,g_s76_76) ) ).
tff('Define:ctx:388',axiom,
! [X_816: $int] :
( mem0(X_816,g_s469_460)
<=> mem0(X_816,g_s467_458) ) ).
tff('Define:ctx:389',axiom,
! [X_817: $int] :
( mem0(X_817,g_s470_461)
<=> mem0(X_817,g_s468_459) ) ).
tff('Define:ctx:39',axiom,
! [X_116: $o] :
( mem3((X_116),g_s241_241)
<=> $true ) ).
tff('Define:ctx:390',axiom,
( $greatereq(g_s471_462,0)
& $lesseq(g_s471_462,max_int) ) ).
tff('Define:ctx:391',axiom,
g_s471_462 = 3 ).
tff('Define:ctx:392',axiom,
( $greatereq(g_s472_463,0)
& $lesseq(g_s472_463,max_int) ) ).
tff('Define:ctx:393',axiom,
g_s472_463 = 64 ).
tff('Define:ctx:394',axiom,
! [X_818: $int] :
( mem0(X_818,g_s473_464)
=> ( $greatereq(X_818,min_int)
& $lesseq(X_818,max_int) ) ) ).
tff('Define:ctx:395',axiom,
~ ! [X_819: $int] :
( mem0(X_819,g_s473_464)
<=> $false ) ).
tff('Define:ctx:396',axiom,
! [X_820: $int] :
( mem0(X_820,g_s473_464)
<=> ( $greatereq(X_820,0)
& $lesseq(X_820,g_s471_462) ) ) ).
tff('Define:ctx:397',axiom,
! [X_821: $int] :
( mem0(X_821,g_s474_465)
=> ( $greatereq(X_821,min_int)
& $lesseq(X_821,max_int) ) ) ).
tff('Define:ctx:398',axiom,
~ ! [X_822: $int] :
( mem0(X_822,g_s474_465)
<=> $false ) ).
tff('Define:ctx:399',axiom,
! [X_823: $int] :
( mem0(X_823,g_s474_465)
<=> ( $greatereq(X_823,0)
& $lesseq(X_823,g_s472_463) ) ) ).
tff('Define:ctx:4',axiom,
( ! [X_9: $int] :
( mem0(X_9,g_s16_16)
<=> ( ( X_9 = g_s17_17 )
| ( X_9 = g_s18_18 )
| ( X_9 = g_s19_19 )
| ( X_9 = g_s20_20 )
| ( X_9 = g_s21_21 ) ) )
& ( g_s17_17 != g_s18_18 )
& ( g_s18_18 != g_s19_19 )
& ( g_s19_19 != g_s20_20 )
& ( g_s20_20 != g_s21_21 ) ) ).
tff('Define:ctx:40',axiom,
! [X_117: $o] :
( mem3((X_117),g_s242_242)
<=> $true ) ).
tff('Define:ctx:400',axiom,
( $greatereq(g_s475_466,0)
& $lesseq(g_s475_466,max_int) ) ).
tff('Define:ctx:401',axiom,
g_s475_466 = 4 ).
tff('Define:ctx:402',axiom,
! [X_824: $int] :
( mem0(X_824,g_s476_467)
=> ( $greatereq(X_824,min_int)
& $lesseq(X_824,max_int) ) ) ).
tff('Define:ctx:403',axiom,
~ ! [X_825: $int] :
( mem0(X_825,g_s476_467)
<=> $false ) ).
tff('Define:ctx:404',axiom,
! [X_826: $int] :
( mem0(X_826,g_s476_467)
<=> ( $greatereq(X_826,1)
& $lesseq(X_826,g_s475_466) ) ) ).
tff('Define:ctx:405',axiom,
! [X_827: $int] :
( mem0(X_827,g_s477_468)
=> mem0(X_827,g_s473_464) ) ).
tff('Define:ctx:406',axiom,
! [X_828: $int] :
( mem0(X_828,g_s477_468)
<=> mem0(X_828,g_s473_464) ) ).
tff('Define:ctx:407',axiom,
! [X_829: $int] :
( mem0(X_829,g_s478_469)
=> mem0(X_829,g_s474_465) ) ).
tff('Define:ctx:408',axiom,
! [X_830: $int] :
( mem0(X_830,g_s478_469)
<=> mem0(X_830,g_s474_465) ) ).
tff('Define:ctx:409',axiom,
! [X_831: $int] :
( mem0(X_831,g_s479_470)
=> ( $greatereq(X_831,0)
& $lesseq(X_831,max_int) ) ) ).
tff('Define:ctx:41',axiom,
! [X_118: $int] :
( mem0(X_118,g_s243_243)
<=> ( $greatereq(X_118,min_int)
& $lesseq(X_118,max_int) ) ) ).
tff('Define:ctx:410',axiom,
mem0(g_s480_471,g_s479_470) ).
tff('Define:ctx:411',axiom,
! [X_832: $int] :
( mem0(X_832,g_s481_472)
=> ( $greatereq(X_832,0)
& $lesseq(X_832,max_int) ) ) ).
tff('Define:ctx:412',axiom,
! [X_833: $int] :
( mem0(X_833,g_s481_472)
<=> mem0(X_833,g_s479_470) ) ).
tff('Define:ctx:413',axiom,
! [X_834: $int] :
( mem0(X_834,g_s482_473)
=> ( $greatereq(X_834,0)
& $lesseq(X_834,max_int) ) ) ).
tff('Define:ctx:414',axiom,
! [X_835: $int] :
( mem0(X_835,g_s483_474)
=> ( $greatereq(X_835,0)
& $lesseq(X_835,max_int) ) ) ).
tff('Define:ctx:415',axiom,
! [X_836: $o] :
( mem3((X_836),g_s484_475)
<=> $true ) ).
tff('Define:ctx:416',axiom,
! [X_837: $o] :
( mem3((X_837),g_s485_476)
<=> $true ) ).
tff('Define:ctx:417',axiom,
! [X_838: $int] :
( mem0(X_838,g_s486_477)
<=> ( $greatereq(X_838,min_int)
& $lesseq(X_838,max_int) ) ) ).
tff('Define:ctx:418',axiom,
mem0(g_s487_478,g_s245_245) ).
tff('Define:ctx:419',axiom,
mem0(g_s488_479,g_s245_245) ).
tff('Define:ctx:42',axiom,
! [X_119: $int] :
( mem0(X_119,g_s244_244)
<=> ( $greatereq(X_119,min_int)
& $lesseq(X_119,max_int) ) ) ).
tff('Define:ctx:420',axiom,
mem0(g_s489_480,g_s245_245) ).
tff('Define:ctx:421',axiom,
mem0(g_s490_481,g_s245_245) ).
tff('Define:ctx:422',axiom,
mem0(g_s491_482,g_s245_245) ).
tff('Define:ctx:423',axiom,
mem0(g_s492_483,g_s245_245) ).
tff('Define:ctx:424',axiom,
mem0(g_s493_484,g_s245_245) ).
tff('Define:ctx:425',axiom,
mem0(g_s494_485,g_s245_245) ).
tff('Define:ctx:426',axiom,
mem0(g_s495_486,g_s245_245) ).
tff('Define:ctx:427',axiom,
mem0(g_s496_487,g_s245_245) ).
tff('Define:ctx:428',axiom,
mem0(g_s497_488,g_s245_245) ).
tff('Define:ctx:429',axiom,
mem0(g_s498_489,g_s245_245) ).
tff('Define:ctx:43',axiom,
! [X_120: $int] :
( mem0(X_120,g_s245_245)
<=> ( $greatereq(X_120,min_int)
& $lesseq(X_120,max_int) ) ) ).
tff('Define:ctx:430',axiom,
mem0(g_s499_490,g_s245_245) ).
tff('Define:ctx:431',axiom,
mem0(g_s500_491,g_s245_245) ).
tff('Define:ctx:432',axiom,
mem0(g_s501_492,g_s245_245) ).
tff('Define:ctx:433',axiom,
mem0(g_s502_493,g_s245_245) ).
tff('Define:ctx:434',axiom,
mem0(g_s503_494,g_s245_245) ).
tff('Define:ctx:435',axiom,
mem0(g_s504_495,g_s245_245) ).
tff('Define:ctx:436',axiom,
mem0(g_s505_496,g_s245_245) ).
tff('Define:ctx:437',axiom,
mem0(g_s506_497,g_s245_245) ).
tff('Define:ctx:438',axiom,
mem0(g_s507_498,g_s245_245) ).
tff('Define:ctx:439',axiom,
mem0(g_s508_499,g_s245_245) ).
tff('Define:ctx:44',axiom,
! [X_121: $int] :
( mem0(X_121,g_s246_246)
<=> mem0(X_121,g_s245_245) ) ).
tff('Define:ctx:440',axiom,
mem0(g_s509_500,g_s245_245) ).
tff('Define:ctx:441',axiom,
mem0(g_s510_501,g_s245_245) ).
tff('Define:ctx:442',axiom,
mem0(g_s511_502,g_s245_245) ).
tff('Define:ctx:443',axiom,
mem0(g_s512_503,g_s245_245) ).
tff('Define:ctx:444',axiom,
mem0(g_s513_504,g_s245_245) ).
tff('Define:ctx:445',axiom,
mem0(g_s514_505,g_s245_245) ).
tff('Define:ctx:446',axiom,
mem0(g_s515_506,g_s245_245) ).
tff('Define:ctx:447',axiom,
mem0(g_s516_507,g_s245_245) ).
tff('Define:ctx:448',axiom,
mem0(g_s517_508,g_s245_245) ).
tff('Define:ctx:449',axiom,
mem0(g_s518_509,g_s245_245) ).
tff('Define:ctx:45',axiom,
! [X_122: $int] :
( mem0(X_122,g_s247_247)
<=> mem0(X_122,g_s245_245) ) ).
tff('Define:ctx:450',axiom,
mem0(g_s519_510,g_s245_245) ).
tff('Define:ctx:451',axiom,
mem0(g_s520_511,g_s245_245) ).
tff('Define:ctx:452',axiom,
mem0(g_s521_512,g_s245_245) ).
tff('Define:ctx:453',axiom,
mem0(g_s522_513,g_s245_245) ).
tff('Define:ctx:454',axiom,
mem0(g_s523_514,g_s245_245) ).
tff('Define:ctx:455',axiom,
mem0(g_s524_515,g_s245_245) ).
tff('Define:ctx:456',axiom,
! [X_839: $int] :
( mem0(X_839,g_s525_516)
<=> mem0(X_839,g_s245_245) ) ).
tff('Define:ctx:457',axiom,
mem0(g_s526_517,g_s245_245) ).
tff('Define:ctx:458',axiom,
mem0(g_s527_518,g_s245_245) ).
tff('Define:ctx:459',axiom,
mem0(g_s528_519,g_s245_245) ).
tff('Define:ctx:46',axiom,
! [X_123: $int] :
( mem0(X_123,g_s248_248)
<=> mem0(X_123,g_s243_243) ) ).
tff('Define:ctx:460',axiom,
mem0(g_s529_520,g_s245_245) ).
tff('Define:ctx:461',axiom,
mem0(g_s530_521,g_s245_245) ).
tff('Define:ctx:462',axiom,
mem0(g_s531_522,g_s245_245) ).
tff('Define:ctx:463',axiom,
mem0(g_s532_523,g_s245_245) ).
tff('Define:ctx:464',axiom,
g_s529_520 = g_s252_252 ).
tff('Define:ctx:465',axiom,
g_s530_521 = g_s254_254 ).
tff('Define:ctx:466',axiom,
g_s531_522 = g_s253_253 ).
tff('Define:ctx:467',axiom,
g_s532_523 = g_s255_255 ).
tff('Define:ctx:468',axiom,
g_s487_478 = g_s252_252 ).
tff('Define:ctx:469',axiom,
g_s488_479 = g_s253_253 ).
tff('Define:ctx:47',axiom,
! [X_124: $o] :
( mem3((X_124),g_s249_249)
<=> mem3((X_124),g_s241_241) ) ).
tff('Define:ctx:470',axiom,
g_s489_480 = g_s254_254 ).
tff('Define:ctx:471',axiom,
g_s490_481 = g_s252_252 ).
tff('Define:ctx:472',axiom,
g_s491_482 = g_s253_253 ).
tff('Define:ctx:473',axiom,
g_s492_483 = g_s254_254 ).
tff('Define:ctx:474',axiom,
g_s493_484 = g_s252_252 ).
tff('Define:ctx:475',axiom,
g_s494_485 = g_s253_253 ).
tff('Define:ctx:476',axiom,
g_s495_486 = g_s254_254 ).
tff('Define:ctx:477',axiom,
g_s496_487 = g_s252_252 ).
tff('Define:ctx:478',axiom,
g_s497_488 = g_s253_253 ).
tff('Define:ctx:479',axiom,
g_s498_489 = g_s254_254 ).
tff('Define:ctx:48',axiom,
! [X_125: $int] :
( mem0(X_125,g_s250_250)
<=> ( $greatereq(X_125,min_int)
& $lesseq(X_125,max_int) ) ) ).
tff('Define:ctx:480',axiom,
g_s499_490 = g_s255_255 ).
tff('Define:ctx:481',axiom,
g_s500_491 = g_s256_256 ).
tff('Define:ctx:482',axiom,
g_s501_492 = g_s252_252 ).
tff('Define:ctx:483',axiom,
g_s502_493 = g_s253_253 ).
tff('Define:ctx:484',axiom,
g_s503_494 = g_s254_254 ).
tff('Define:ctx:485',axiom,
g_s504_495 = g_s255_255 ).
tff('Define:ctx:486',axiom,
g_s505_496 = g_s252_252 ).
tff('Define:ctx:487',axiom,
g_s506_497 = g_s253_253 ).
tff('Define:ctx:488',axiom,
g_s507_498 = g_s254_254 ).
tff('Define:ctx:489',axiom,
g_s508_499 = g_s255_255 ).
tff('Define:ctx:49',axiom,
! [X_126: $int] :
( mem0(X_126,g_s251_251)
<=> ( $greatereq(X_126,min_int)
& $lesseq(X_126,max_int) ) ) ).
tff('Define:ctx:490',axiom,
g_s509_500 = g_s252_252 ).
tff('Define:ctx:491',axiom,
g_s510_501 = g_s253_253 ).
tff('Define:ctx:492',axiom,
g_s511_502 = g_s254_254 ).
tff('Define:ctx:493',axiom,
g_s512_503 = g_s255_255 ).
tff('Define:ctx:494',axiom,
g_s513_504 = g_s256_256 ).
tff('Define:ctx:495',axiom,
g_s514_505 = g_s252_252 ).
tff('Define:ctx:496',axiom,
g_s515_506 = g_s253_253 ).
tff('Define:ctx:497',axiom,
g_s516_507 = g_s254_254 ).
tff('Define:ctx:498',axiom,
g_s517_508 = g_s252_252 ).
tff('Define:ctx:499',axiom,
g_s518_509 = g_s253_253 ).
tff('Define:ctx:5',axiom,
( ! [X_10: $int] :
( mem0(X_10,g_s22_22)
<=> ( ( X_10 = g_s23_23 )
| ( X_10 = g_s24_24 ) ) )
& ( g_s23_23 != g_s24_24 ) ) ).
tff('Define:ctx:50',axiom,
g_s252_252 = 0 ).
tff('Define:ctx:500',axiom,
g_s519_510 = g_s252_252 ).
tff('Define:ctx:501',axiom,
g_s520_511 = g_s253_253 ).
tff('Define:ctx:502',axiom,
g_s521_512 = g_s254_254 ).
tff('Define:ctx:503',axiom,
g_s522_513 = g_s252_252 ).
tff('Define:ctx:504',axiom,
g_s523_514 = g_s253_253 ).
tff('Define:ctx:505',axiom,
g_s524_515 = g_s254_254 ).
tff('Define:ctx:506',axiom,
g_s526_517 = g_s252_252 ).
tff('Define:ctx:507',axiom,
g_s527_518 = g_s253_253 ).
tff('Define:ctx:508',axiom,
g_s528_519 = g_s254_254 ).
tff('Define:ctx:509',axiom,
mem0(g_s533_524,g_s245_245) ).
tff('Define:ctx:51',axiom,
g_s253_253 = 1 ).
tff('Define:ctx:510',axiom,
mem0(g_s534_525,g_s245_245) ).
tff('Define:ctx:511',axiom,
mem0(g_s535_526,g_s245_245) ).
tff('Define:ctx:512',axiom,
mem0(g_s536_527,g_s245_245) ).
tff('Define:ctx:513',axiom,
mem0(g_s537_528,g_s245_245) ).
tff('Define:ctx:514',axiom,
mem0(g_s538_529,g_s245_245) ).
tff('Define:ctx:515',axiom,
mem0(g_s539_530,g_s245_245) ).
tff('Define:ctx:516',axiom,
mem0(g_s540_531,g_s245_245) ).
tff('Define:ctx:517',axiom,
mem0(g_s541_532,g_s245_245) ).
tff('Define:ctx:518',axiom,
mem0(g_s542_533,g_s245_245) ).
tff('Define:ctx:519',axiom,
mem0(g_s543_534,g_s245_245) ).
tff('Define:ctx:52',axiom,
g_s254_254 = 2 ).
tff('Define:ctx:520',axiom,
mem0(g_s544_535,g_s245_245) ).
tff('Define:ctx:521',axiom,
mem0(g_s545_536,g_s245_245) ).
tff('Define:ctx:522',axiom,
mem0(g_s546_537,g_s245_245) ).
tff('Define:ctx:523',axiom,
mem0(g_s547_538,g_s245_245) ).
tff('Define:ctx:524',axiom,
mem0(g_s548_539,g_s245_245) ).
tff('Define:ctx:525',axiom,
mem0(g_s549_540,g_s245_245) ).
tff('Define:ctx:526',axiom,
mem0(g_s550_541,g_s245_245) ).
tff('Define:ctx:527',axiom,
mem0(g_s551_542,g_s245_245) ).
tff('Define:ctx:528',axiom,
mem0(g_s552_543,g_s245_245) ).
tff('Define:ctx:529',axiom,
mem0(g_s553_544,g_s245_245) ).
tff('Define:ctx:53',axiom,
g_s255_255 = 3 ).
tff('Define:ctx:530',axiom,
mem0(g_s554_545,g_s245_245) ).
tff('Define:ctx:531',axiom,
mem0(g_s555_546,g_s245_245) ).
tff('Define:ctx:532',axiom,
mem0(g_s556_547,g_s245_245) ).
tff('Define:ctx:533',axiom,
mem0(g_s557_548,g_s245_245) ).
tff('Define:ctx:534',axiom,
g_s533_524 = g_s252_252 ).
tff('Define:ctx:535',axiom,
g_s534_525 = g_s253_253 ).
tff('Define:ctx:536',axiom,
g_s535_526 = g_s254_254 ).
tff('Define:ctx:537',axiom,
g_s536_527 = g_s255_255 ).
tff('Define:ctx:538',axiom,
g_s537_528 = g_s256_256 ).
tff('Define:ctx:539',axiom,
g_s538_529 = g_s257_257 ).
tff('Define:ctx:54',axiom,
g_s256_256 = 4 ).
tff('Define:ctx:540',axiom,
g_s539_530 = g_s258_258 ).
tff('Define:ctx:541',axiom,
g_s540_531 = g_s259_259 ).
tff('Define:ctx:542',axiom,
g_s541_532 = g_s260_260 ).
tff('Define:ctx:543',axiom,
g_s542_533 = g_s261_261 ).
tff('Define:ctx:544',axiom,
g_s543_534 = g_s262_262 ).
tff('Define:ctx:545',axiom,
g_s544_535 = g_s263_263 ).
tff('Define:ctx:546',axiom,
g_s545_536 = g_s264_264 ).
tff('Define:ctx:547',axiom,
g_s546_537 = g_s265_265 ).
tff('Define:ctx:548',axiom,
g_s547_538 = g_s266_266 ).
tff('Define:ctx:549',axiom,
g_s548_539 = g_s267_267 ).
tff('Define:ctx:55',axiom,
g_s257_257 = 5 ).
tff('Define:ctx:550',axiom,
g_s549_540 = g_s268_268 ).
tff('Define:ctx:551',axiom,
g_s550_541 = g_s269_269 ).
tff('Define:ctx:552',axiom,
g_s551_542 = g_s270_270 ).
tff('Define:ctx:553',axiom,
g_s552_543 = g_s271_271 ).
tff('Define:ctx:554',axiom,
g_s553_544 = g_s272_272 ).
tff('Define:ctx:555',axiom,
g_s554_545 = g_s273_273 ).
tff('Define:ctx:556',axiom,
g_s555_546 = g_s274_274 ).
tff('Define:ctx:557',axiom,
g_s556_547 = g_s275_275 ).
tff('Define:ctx:558',axiom,
g_s557_548 = g_s276_276 ).
tff('Define:ctx:559',axiom,
mem0(g_s558_549,g_s245_245) ).
tff('Define:ctx:56',axiom,
g_s258_258 = 6 ).
tff('Define:ctx:560',axiom,
mem0(g_s559_550,g_s245_245) ).
tff('Define:ctx:561',axiom,
mem0(g_s560_551,g_s245_245) ).
tff('Define:ctx:562',axiom,
mem0(g_s561_552,g_s245_245) ).
tff('Define:ctx:563',axiom,
mem0(g_s562_553,g_s245_245) ).
tff('Define:ctx:564',axiom,
mem0(g_s563_554,g_s245_245) ).
tff('Define:ctx:565',axiom,
mem0(g_s564_555,g_s245_245) ).
tff('Define:ctx:566',axiom,
mem0(g_s565_556,g_s245_245) ).
tff('Define:ctx:567',axiom,
mem0(g_s566_557,g_s245_245) ).
tff('Define:ctx:568',axiom,
mem0(g_s567_558,g_s245_245) ).
tff('Define:ctx:569',axiom,
mem0(g_s568_559,g_s245_245) ).
tff('Define:ctx:57',axiom,
g_s259_259 = 7 ).
tff('Define:ctx:570',axiom,
mem0(g_s569_560,g_s245_245) ).
tff('Define:ctx:571',axiom,
mem0(g_s570_561,g_s245_245) ).
tff('Define:ctx:572',axiom,
mem0(g_s571_562,g_s245_245) ).
tff('Define:ctx:573',axiom,
g_s558_549 = g_s252_252 ).
tff('Define:ctx:574',axiom,
g_s559_550 = g_s253_253 ).
tff('Define:ctx:575',axiom,
g_s560_551 = g_s254_254 ).
tff('Define:ctx:576',axiom,
g_s561_552 = g_s255_255 ).
tff('Define:ctx:577',axiom,
g_s562_553 = g_s256_256 ).
tff('Define:ctx:578',axiom,
g_s563_554 = g_s257_257 ).
tff('Define:ctx:579',axiom,
g_s564_555 = g_s258_258 ).
tff('Define:ctx:58',axiom,
g_s260_260 = 8 ).
tff('Define:ctx:580',axiom,
g_s565_556 = g_s259_259 ).
tff('Define:ctx:581',axiom,
g_s566_557 = g_s260_260 ).
tff('Define:ctx:582',axiom,
g_s567_558 = g_s261_261 ).
tff('Define:ctx:583',axiom,
g_s568_559 = g_s262_262 ).
tff('Define:ctx:584',axiom,
g_s569_560 = g_s263_263 ).
tff('Define:ctx:585',axiom,
g_s570_561 = g_s264_264 ).
tff('Define:ctx:586',axiom,
g_s572_563 = g_s252_252 ).
tff('Define:ctx:587',axiom,
g_s573_564 = g_s253_253 ).
tff('Define:ctx:588',axiom,
g_s574_565 = g_s254_254 ).
tff('Define:ctx:589',axiom,
g_s575_566 = g_s255_255 ).
tff('Define:ctx:59',axiom,
g_s261_261 = 9 ).
tff('Define:ctx:590',axiom,
g_s576_567 = g_s256_256 ).
tff('Define:ctx:591',axiom,
g_s577_568 = g_s257_257 ).
tff('Define:ctx:592',axiom,
g_s578_569 = g_s258_258 ).
tff('Define:ctx:593',axiom,
g_s579_570 = g_s259_259 ).
tff('Define:ctx:594',axiom,
g_s580_571 = g_s260_260 ).
tff('Define:ctx:595',axiom,
g_s581_572 = g_s261_261 ).
tff('Define:ctx:596',axiom,
g_s582_573 = g_s262_262 ).
tff('Define:ctx:597',axiom,
g_s583_574 = g_s263_263 ).
tff('Define:ctx:598',axiom,
g_s584_575 = g_s264_264 ).
tff('Define:ctx:599',axiom,
g_s585_576 = g_s265_265 ).
tff('Define:ctx:6',axiom,
( ! [X_11: $int] :
( mem0(X_11,g_s25_25)
<=> ( ( X_11 = g_s26_26 )
| ( X_11 = g_s27_27 )
| ( X_11 = g_s28_28 )
| ( X_11 = g_s29_29 ) ) )
& ( g_s26_26 != g_s27_27 )
& ( g_s27_27 != g_s28_28 )
& ( g_s28_28 != g_s29_29 ) ) ).
tff('Define:ctx:60',axiom,
g_s262_262 = 10 ).
tff('Define:ctx:600',axiom,
g_s586_577 = g_s266_266 ).
tff('Define:ctx:601',axiom,
g_s587_578 = g_s267_267 ).
tff('Define:ctx:602',axiom,
g_s588_579 = g_s268_268 ).
tff('Define:ctx:603',axiom,
g_s589_580 = g_s269_269 ).
tff('Define:ctx:604',axiom,
g_s590_581 = g_s270_270 ).
tff('Define:ctx:605',axiom,
g_s591_582 = g_s271_271 ).
tff('Define:ctx:606',axiom,
g_s592_583 = g_s272_272 ).
tff('Define:ctx:607',axiom,
g_s593_584 = g_s273_273 ).
tff('Define:ctx:608',axiom,
g_s594_585 = g_s274_274 ).
tff('Define:ctx:609',axiom,
g_s595_586 = g_s275_275 ).
tff('Define:ctx:61',axiom,
g_s263_263 = 11 ).
tff('Define:ctx:610',axiom,
g_s596_587 = g_s276_276 ).
tff('Define:ctx:611',axiom,
g_s597_588 = g_s277_277 ).
tff('Define:ctx:612',axiom,
g_s598_589 = g_s278_278 ).
tff('Define:ctx:613',axiom,
g_s599_590 = g_s279_279 ).
tff('Define:ctx:614',axiom,
g_s600_591 = g_s280_280 ).
tff('Define:ctx:615',axiom,
g_s601_592 = g_s281_281 ).
tff('Define:ctx:616',axiom,
g_s602_593 = g_s282_282 ).
tff('Define:ctx:617',axiom,
g_s603_594 = g_s283_283 ).
tff('Define:ctx:618',axiom,
g_s604_595 = g_s252_252 ).
tff('Define:ctx:619',axiom,
g_s605_596 = g_s253_253 ).
tff('Define:ctx:62',axiom,
g_s264_264 = 12 ).
tff('Define:ctx:620',axiom,
g_s606_597 = g_s254_254 ).
tff('Define:ctx:621',axiom,
g_s607_598 = g_s255_255 ).
tff('Define:ctx:622',axiom,
g_s608_599 = g_s256_256 ).
tff('Define:ctx:623',axiom,
g_s609_600 = g_s257_257 ).
tff('Define:ctx:624',axiom,
g_s610_601 = g_s258_258 ).
tff('Define:ctx:625',axiom,
mem0(g_s611_602,g_s245_245) ).
tff('Define:ctx:626',axiom,
mem0(g_s612_603,g_s245_245) ).
tff('Define:ctx:627',axiom,
mem0(g_s613_604,g_s245_245) ).
tff('Define:ctx:628',axiom,
mem0(g_s614_605,g_s245_245) ).
tff('Define:ctx:629',axiom,
mem0(g_s615_606,g_s245_245) ).
tff('Define:ctx:63',axiom,
g_s265_265 = 13 ).
tff('Define:ctx:630',axiom,
mem0(g_s616_607,g_s245_245) ).
tff('Define:ctx:631',axiom,
mem0(g_s617_608,g_s245_245) ).
tff('Define:ctx:632',axiom,
mem0(g_s618_609,g_s245_245) ).
tff('Define:ctx:633',axiom,
mem0(g_s619_610,g_s245_245) ).
tff('Define:ctx:634',axiom,
mem0(g_s620_611,g_s245_245) ).
tff('Define:ctx:635',axiom,
mem0(g_s621_612,g_s245_245) ).
tff('Define:ctx:636',axiom,
mem0(g_s622_613,g_s245_245) ).
tff('Define:ctx:637',axiom,
mem0(g_s623_614,g_s245_245) ).
tff('Define:ctx:638',axiom,
mem0(g_s624_615,g_s245_245) ).
tff('Define:ctx:639',axiom,
mem0(g_s625_616,g_s245_245) ).
tff('Define:ctx:64',axiom,
g_s266_266 = 14 ).
tff('Define:ctx:640',axiom,
mem0(g_s626_617,g_s245_245) ).
tff('Define:ctx:641',axiom,
mem0(g_s627_618,g_s245_245) ).
tff('Define:ctx:642',axiom,
mem0(g_s628_619,g_s245_245) ).
tff('Define:ctx:643',axiom,
mem0(g_s629_620,g_s245_245) ).
tff('Define:ctx:644',axiom,
mem0(g_s630_621,g_s245_245) ).
tff('Define:ctx:645',axiom,
mem0(g_s631_622,g_s245_245) ).
tff('Define:ctx:646',axiom,
mem0(g_s632_623,g_s245_245) ).
tff('Define:ctx:647',axiom,
mem0(g_s633_624,g_s245_245) ).
tff('Define:ctx:648',axiom,
mem0(g_s634_625,g_s245_245) ).
tff('Define:ctx:649',axiom,
mem0(g_s635_626,g_s245_245) ).
tff('Define:ctx:65',axiom,
g_s267_267 = 15 ).
tff('Define:ctx:650',axiom,
mem0(g_s636_627,g_s245_245) ).
tff('Define:ctx:651',axiom,
mem0(g_s637_628,g_s245_245) ).
tff('Define:ctx:652',axiom,
mem0(g_s638_629,g_s245_245) ).
tff('Define:ctx:653',axiom,
mem0(g_s639_630,g_s245_245) ).
tff('Define:ctx:654',axiom,
mem0(g_s640_631,g_s245_245) ).
tff('Define:ctx:655',axiom,
mem0(g_s641_632,g_s245_245) ).
tff('Define:ctx:656',axiom,
mem0(g_s642_633,g_s245_245) ).
tff('Define:ctx:657',axiom,
g_s611_602 = g_s252_252 ).
tff('Define:ctx:658',axiom,
g_s612_603 = g_s253_253 ).
tff('Define:ctx:659',axiom,
g_s613_604 = g_s254_254 ).
tff('Define:ctx:66',axiom,
g_s268_268 = 16 ).
tff('Define:ctx:660',axiom,
g_s614_605 = g_s255_255 ).
tff('Define:ctx:661',axiom,
g_s615_606 = g_s256_256 ).
tff('Define:ctx:662',axiom,
g_s616_607 = g_s257_257 ).
tff('Define:ctx:663',axiom,
g_s617_608 = g_s258_258 ).
tff('Define:ctx:664',axiom,
g_s618_609 = g_s259_259 ).
tff('Define:ctx:665',axiom,
g_s619_610 = g_s260_260 ).
tff('Define:ctx:666',axiom,
g_s620_611 = g_s261_261 ).
tff('Define:ctx:667',axiom,
g_s621_612 = g_s262_262 ).
tff('Define:ctx:668',axiom,
g_s622_613 = g_s263_263 ).
tff('Define:ctx:669',axiom,
g_s623_614 = g_s264_264 ).
tff('Define:ctx:67',axiom,
g_s269_269 = 17 ).
tff('Define:ctx:670',axiom,
g_s624_615 = g_s265_265 ).
tff('Define:ctx:671',axiom,
g_s625_616 = g_s266_266 ).
tff('Define:ctx:672',axiom,
g_s626_617 = g_s267_267 ).
tff('Define:ctx:673',axiom,
g_s627_618 = g_s268_268 ).
tff('Define:ctx:674',axiom,
g_s628_619 = g_s269_269 ).
tff('Define:ctx:675',axiom,
g_s629_620 = g_s270_270 ).
tff('Define:ctx:676',axiom,
g_s630_621 = g_s271_271 ).
tff('Define:ctx:677',axiom,
g_s631_622 = g_s272_272 ).
tff('Define:ctx:678',axiom,
g_s632_623 = g_s273_273 ).
tff('Define:ctx:679',axiom,
g_s633_624 = g_s274_274 ).
tff('Define:ctx:68',axiom,
g_s270_270 = 18 ).
tff('Define:ctx:680',axiom,
g_s634_625 = g_s275_275 ).
tff('Define:ctx:681',axiom,
g_s635_626 = g_s276_276 ).
tff('Define:ctx:682',axiom,
g_s636_627 = g_s277_277 ).
tff('Define:ctx:683',axiom,
g_s637_628 = g_s278_278 ).
tff('Define:ctx:684',axiom,
g_s638_629 = g_s279_279 ).
tff('Define:ctx:685',axiom,
g_s639_630 = g_s280_280 ).
tff('Define:ctx:686',axiom,
g_s640_631 = g_s281_281 ).
tff('Define:ctx:687',axiom,
g_s641_632 = g_s282_282 ).
tff('Define:ctx:688',axiom,
g_s642_633 = g_s283_283 ).
tff('Define:ctx:689',axiom,
( $greatereq(g_s643_634,min_int)
& $lesseq(g_s643_634,max_int) ) ).
tff('Define:ctx:69',axiom,
g_s271_271 = 19 ).
tff('Define:ctx:690',axiom,
( $greatereq(g_s644_635,min_int)
& $lesseq(g_s644_635,max_int) ) ).
tff('Define:ctx:691',axiom,
( $greatereq(g_s645_636,min_int)
& $lesseq(g_s645_636,max_int) ) ).
tff('Define:ctx:692',axiom,
( $greatereq(g_s646_637,min_int)
& $lesseq(g_s646_637,max_int) ) ).
tff('Define:ctx:693',axiom,
( $greatereq(g_s647_638,min_int)
& $lesseq(g_s647_638,max_int) ) ).
tff('Define:ctx:694',axiom,
mem0(g_s648_639,g_s449_440) ).
tff('Define:ctx:695',axiom,
g_s648_639 = $uminus(131072000) ).
tff('Define:ctx:696',axiom,
! [X_840: $int] :
( mem0(X_840,g_s649_640)
=> ( $greatereq(X_840,0)
& $lesseq(X_840,max_int) ) ) ).
tff('Define:ctx:697',axiom,
~ ! [X_841: $int] :
( mem0(X_841,g_s649_640)
<=> $false ) ).
tff('Define:ctx:698',axiom,
! [X_842: $int] :
( mem0(X_842,g_s649_640)
<=> ( $greatereq(X_842,0)
& $lesseq(X_842,31) ) ) ).
tff('Define:ctx:699',axiom,
! [X_843: $int] :
( mem0(X_843,g_s650_641)
<=> mem0(X_843,g_s649_640) ) ).
tff('Define:ctx:7',axiom,
( ! [X_12: $int] :
( mem0(X_12,g_s30_30)
<=> ( ( X_12 = g_s31_31 )
| ( X_12 = g_s32_32 )
| ( X_12 = g_s33_33 )
| ( X_12 = g_s34_34 )
| ( X_12 = g_s35_35 ) ) )
& ( g_s31_31 != g_s32_32 )
& ( g_s32_32 != g_s33_33 )
& ( g_s33_33 != g_s34_34 )
& ( g_s34_34 != g_s35_35 ) ) ).
tff('Define:ctx:70',axiom,
g_s272_272 = 20 ).
tff('Define:ctx:700',axiom,
! [X_844: $int] :
( mem0(X_844,g_s651_642)
=> mem0(X_844,g_s180_180) ) ).
tff('Define:ctx:701',axiom,
! [X_845: $int] :
( mem0(X_845,g_s651_642)
<=> ( ( X_845 = g_s182_182 )
| ( X_845 = g_s183_183 )
| ( X_845 = g_s184_184 )
| ( X_845 = g_s185_185 )
| ( X_845 = g_s186_186 )
| ( X_845 = g_s187_187 )
| ( X_845 = g_s188_188 )
| ( X_845 = g_s189_189 ) ) ) ).
tff('Define:ctx:702',axiom,
mem0(g_s181_181,g_s180_180) ).
tff('Define:ctx:703',axiom,
~ mem0(g_s181_181,g_s651_642) ).
tff('Define:ctx:704',axiom,
! [X_846: $int] :
( mem0(X_846,g_s652_643)
<=> mem0(X_846,g_s136_136) ) ).
tff('Define:ctx:705',axiom,
! [X_847: $int] :
( mem0(X_847,g_s653_644)
<=> mem0(X_847,g_s137_137) ) ).
tff('Define:ctx:706',axiom,
! [X_848: $int] :
( mem0(X_848,g_s329_320)
=> mem0(X_848,g_s133_133) ) ).
tff('Define:ctx:707',axiom,
! [X_849: $int] :
( mem0(X_849,g_s654_645)
=> mem0(X_849,g_s133_133) ) ).
tff('Define:ctx:708',axiom,
! [X_850: $int] :
( mem0(X_850,g_s655_646)
=> mem0(X_850,g_s654_645) ) ).
tff('Define:ctx:709',axiom,
! [X_851: $int] :
( mem0(X_851,g_s655_646)
<=> mem0(X_851,g_s329_320) ) ).
tff('Define:ctx:71',axiom,
g_s273_273 = 21 ).
tff('Define:ctx:710',axiom,
! [X_852: $int] :
( mem0(X_852,g_s656_647)
=> ( $greatereq(X_852,0)
& $lesseq(X_852,max_int) ) ) ).
tff('Define:ctx:711',axiom,
~ ! [X_853: $int] :
( mem0(X_853,g_s656_647)
<=> $false ) ).
tff('Define:ctx:712',axiom,
! [X_854: $int] :
( mem0(X_854,g_s656_647)
<=> ( $greatereq(X_854,0)
& $lesseq(X_854,2) ) ) ).
tff('Define:ctx:713',axiom,
mem0(g_s657_648,g_s656_647) ).
tff('Define:ctx:714',axiom,
~ ! [X_855: $int] :
( mem0(X_855,g_s329_320)
<=> $false ) ).
tff('Define:ctx:715',axiom,
! [X_856: $int] :
( mem0(X_856,g_s331_322)
=> mem0(X_856,g_s134_134) ) ).
tff('Define:ctx:716',axiom,
~ ! [X_857: $int] :
( mem0(X_857,g_s331_322)
<=> $false ) ).
tff('Define:ctx:717',axiom,
! [X_858: $int] :
( mem0(X_858,g_s658_649)
<=> mem0(X_858,g_s134_134) ) ).
tff('Define:ctx:718',axiom,
! [X_859: $int] :
( mem0(X_859,g_s659_650)
=> mem0(X_859,g_s658_649) ) ).
tff('Define:ctx:719',axiom,
! [X_860: $int] :
( mem0(X_860,g_s659_650)
<=> mem0(X_860,g_s331_322) ) ).
tff('Define:ctx:72',axiom,
g_s274_274 = 22 ).
tff('Define:ctx:720',axiom,
! [X_861: $int] :
( mem0(X_861,g_s660_651)
<=> ( $greatereq(X_861,0)
& $lesseq(X_861,max_int) ) ) ).
tff('Define:ctx:721',axiom,
! [X_862: $int] :
( mem0(X_862,g_s339_330)
=> mem0(X_862,g_s135_135) ) ).
tff('Define:ctx:722',axiom,
! [X_863: $int] :
( mem0(X_863,g_s661_652)
<=> mem0(X_863,g_s135_135) ) ).
tff('Define:ctx:723',axiom,
! [X_864: $int] :
( mem0(X_864,g_s662_653)
=> mem0(X_864,g_s135_135) ) ).
tff('Define:ctx:724',axiom,
! [X_865: $int] :
( mem0(X_865,g_s662_653)
<=> mem0(X_865,g_s339_330) ) ).
tff('Define:ctx:725',axiom,
! [X_866: $int] :
( mem0(X_866,g_s333_324)
=> mem0(X_866,g_s136_136) ) ).
tff('Define:ctx:726',axiom,
! [X_867: $int] :
( mem0(X_867,g_s663_654)
=> mem0(X_867,g_s652_643) ) ).
tff('Define:ctx:727',axiom,
! [X_868: $int] :
( mem0(X_868,g_s664_655)
<=> ( $greatereq(X_868,0)
& $lesseq(X_868,max_int) ) ) ).
tff('Define:ctx:728',axiom,
! [X_869: $int] :
( mem0(X_869,g_s665_656)
<=> ( $greatereq(X_869,0)
& $lesseq(X_869,max_int) ) ) ).
tff('Define:ctx:729',axiom,
! [X_870: $int] :
( mem0(X_870,g_s666_657)
<=> ( $greatereq(X_870,0)
& $lesseq(X_870,max_int) ) ) ).
tff('Define:ctx:73',axiom,
g_s275_275 = 23 ).
tff('Define:ctx:730',axiom,
! [X_871: $int] :
( mem0(X_871,g_s667_658)
=> ( $greatereq(X_871,0)
& $lesseq(X_871,max_int) ) ) ).
tff('Define:ctx:731',axiom,
~ ! [X_872: $int] :
( mem0(X_872,g_s667_658)
<=> $false ) ).
tff('Define:ctx:732',axiom,
! [X_873: $int] :
( mem0(X_873,g_s667_658)
<=> ! [X_874: $int,X_875: $int] :
( ( mem0(X_874,g_s667_658)
& ! [X_876: $int] :
( mem0(X_876,g_s667_658)
=> $lesseq(X_874,X_876) )
& mem0(X_875,g_s667_658)
& ! [X_877: $int] :
( mem0(X_877,g_s667_658)
=> $greatereq(X_875,X_877) ) )
=> ( $greatereq(X_873,X_874)
& $lesseq(X_873,X_875) ) ) ) ).
tff('Define:ctx:733',axiom,
! [X_878: $int] :
( mem0(X_878,g_s668_659)
=> ( $greatereq(X_878,0)
& $lesseq(X_878,max_int) ) ) ).
tff('Define:ctx:734',axiom,
~ ! [X_879: $int] :
( mem0(X_879,g_s668_659)
<=> $false ) ).
tff('Define:ctx:735',axiom,
! [X_880: $int] :
( mem0(X_880,g_s668_659)
<=> ! [X_881: $int,X_882: $int] :
( ( mem0(X_881,g_s668_659)
& ! [X_883: $int] :
( mem0(X_883,g_s668_659)
=> $lesseq(X_881,X_883) )
& mem0(X_882,g_s668_659)
& ! [X_884: $int] :
( mem0(X_884,g_s668_659)
=> $greatereq(X_882,X_884) ) )
=> ( $greatereq(X_880,X_881)
& $lesseq(X_880,X_882) ) ) ) ).
tff('Define:ctx:736',axiom,
! [X_885: $int] :
( mem0(X_885,g_s669_660)
=> ( $greatereq(X_885,0)
& $lesseq(X_885,max_int) ) ) ).
tff('Define:ctx:737',axiom,
~ ! [X_886: $int] :
( mem0(X_886,g_s669_660)
<=> $false ) ).
tff('Define:ctx:738',axiom,
! [X_887: $int] :
( mem0(X_887,g_s669_660)
<=> ! [X_888: $int,X_889: $int] :
( ( mem0(X_888,g_s669_660)
& ! [X_890: $int] :
( mem0(X_890,g_s669_660)
=> $lesseq(X_888,X_890) )
& mem0(X_889,g_s669_660)
& ! [X_891: $int] :
( mem0(X_891,g_s669_660)
=> $greatereq(X_889,X_891) ) )
=> ( $greatereq(X_887,X_888)
& $lesseq(X_887,X_889) ) ) ) ).
tff('Define:ctx:739',axiom,
! [X_892: $int] :
( mem0(X_892,g_s670_661)
=> ( $greatereq(X_892,0)
& $lesseq(X_892,max_int) ) ) ).
tff('Define:ctx:74',axiom,
g_s276_276 = 24 ).
tff('Define:ctx:740',axiom,
~ ! [X_893: $int] :
( mem0(X_893,g_s670_661)
<=> $false ) ).
tff('Define:ctx:741',axiom,
! [X_894: $int] :
( mem0(X_894,g_s670_661)
<=> ! [X_895: $int,X_896: $int] :
( ( mem0(X_895,g_s670_661)
& ! [X_897: $int] :
( mem0(X_897,g_s670_661)
=> $lesseq(X_895,X_897) )
& mem0(X_896,g_s670_661)
& ! [X_898: $int] :
( mem0(X_898,g_s670_661)
=> $greatereq(X_896,X_898) ) )
=> ( $greatereq(X_894,X_895)
& $lesseq(X_894,X_896) ) ) ) ).
tff('Define:ctx:742',axiom,
! [X_899: $int] :
( mem0(X_899,g_s671_662)
=> ( $greatereq(X_899,0)
& $lesseq(X_899,max_int) ) ) ).
tff('Define:ctx:743',axiom,
~ ! [X_900: $int] :
( mem0(X_900,g_s671_662)
<=> $false ) ).
tff('Define:ctx:744',axiom,
! [X_901: $int] :
( mem0(X_901,g_s671_662)
<=> ! [X_902: $int,X_903: $int] :
( ( mem0(X_902,g_s671_662)
& ! [X_904: $int] :
( mem0(X_904,g_s671_662)
=> $lesseq(X_902,X_904) )
& mem0(X_903,g_s671_662)
& ! [X_905: $int] :
( mem0(X_905,g_s671_662)
=> $greatereq(X_903,X_905) ) )
=> ( $greatereq(X_901,X_902)
& $lesseq(X_901,X_903) ) ) ) ).
tff('Define:ctx:745',axiom,
! [X_906: $int] :
( mem0(X_906,g_s672_663)
=> ( $greatereq(X_906,0)
& $lesseq(X_906,max_int) ) ) ).
tff('Define:ctx:746',axiom,
~ ! [X_907: $int] :
( mem0(X_907,g_s672_663)
<=> $false ) ).
tff('Define:ctx:747',axiom,
! [X_908: $int] :
( mem0(X_908,g_s672_663)
<=> ! [X_909: $int,X_910: $int] :
( ( mem0(X_909,g_s672_663)
& ! [X_911: $int] :
( mem0(X_911,g_s672_663)
=> $lesseq(X_909,X_911) )
& mem0(X_910,g_s672_663)
& ! [X_912: $int] :
( mem0(X_912,g_s672_663)
=> $greatereq(X_910,X_912) ) )
=> ( $greatereq(X_908,X_909)
& $lesseq(X_908,X_910) ) ) ) ).
tff('Define:ctx:748',axiom,
! [X_913: $int] :
( mem0(X_913,g_s673_664)
=> ( $greatereq(X_913,0)
& $lesseq(X_913,max_int) ) ) ).
tff('Define:ctx:749',axiom,
~ ! [X_914: $int] :
( mem0(X_914,g_s673_664)
<=> $false ) ).
tff('Define:ctx:75',axiom,
g_s277_277 = 25 ).
tff('Define:ctx:750',axiom,
! [X_915: $int] :
( mem0(X_915,g_s673_664)
<=> ! [X_916: $int,X_917: $int] :
( ( mem0(X_916,g_s673_664)
& ! [X_918: $int] :
( mem0(X_918,g_s673_664)
=> $lesseq(X_916,X_918) )
& mem0(X_917,g_s673_664)
& ! [X_919: $int] :
( mem0(X_919,g_s673_664)
=> $greatereq(X_917,X_919) ) )
=> ( $greatereq(X_915,X_916)
& $lesseq(X_915,X_917) ) ) ) ).
tff('Define:ctx:751',axiom,
! [X_920: $int] :
( mem0(X_920,g_s674_665)
=> ( $greatereq(X_920,0)
& $lesseq(X_920,max_int) ) ) ).
tff('Define:ctx:752',axiom,
~ ! [X_921: $int] :
( mem0(X_921,g_s674_665)
<=> $false ) ).
tff('Define:ctx:753',axiom,
! [X_922: $int] :
( mem0(X_922,g_s674_665)
<=> ! [X_923: $int,X_924: $int] :
( ( mem0(X_923,g_s674_665)
& ! [X_925: $int] :
( mem0(X_925,g_s674_665)
=> $lesseq(X_923,X_925) )
& mem0(X_924,g_s674_665)
& ! [X_926: $int] :
( mem0(X_926,g_s674_665)
=> $greatereq(X_924,X_926) ) )
=> ( $greatereq(X_922,X_923)
& $lesseq(X_922,X_924) ) ) ) ).
tff('Define:ctx:754',axiom,
! [X_927: $int] :
( mem0(X_927,g_s675_666)
=> ( $greatereq(X_927,0)
& $lesseq(X_927,max_int) ) ) ).
tff('Define:ctx:755',axiom,
~ ! [X_928: $int] :
( mem0(X_928,g_s675_666)
<=> $false ) ).
tff('Define:ctx:756',axiom,
! [X_929: $int] :
( mem0(X_929,g_s675_666)
<=> ! [X_930: $int,X_931: $int] :
( ( mem0(X_930,g_s675_666)
& ! [X_932: $int] :
( mem0(X_932,g_s675_666)
=> $lesseq(X_930,X_932) )
& mem0(X_931,g_s675_666)
& ! [X_933: $int] :
( mem0(X_933,g_s675_666)
=> $greatereq(X_931,X_933) ) )
=> ( $greatereq(X_929,X_930)
& $lesseq(X_929,X_931) ) ) ) ).
tff('Define:ctx:757',axiom,
! [X_934: $int] :
( mem0(X_934,g_s676_667)
=> ( $greatereq(X_934,0)
& $lesseq(X_934,max_int) ) ) ).
tff('Define:ctx:758',axiom,
~ ! [X_935: $int] :
( mem0(X_935,g_s676_667)
<=> $false ) ).
tff('Define:ctx:759',axiom,
! [X_936: $int] :
( mem0(X_936,g_s676_667)
<=> ! [X_937: $int,X_938: $int] :
( ( mem0(X_937,g_s676_667)
& ! [X_939: $int] :
( mem0(X_939,g_s676_667)
=> $lesseq(X_937,X_939) )
& mem0(X_938,g_s676_667)
& ! [X_940: $int] :
( mem0(X_940,g_s676_667)
=> $greatereq(X_938,X_940) ) )
=> ( $greatereq(X_936,X_937)
& $lesseq(X_936,X_938) ) ) ) ).
tff('Define:ctx:76',axiom,
g_s278_278 = 26 ).
tff('Define:ctx:760',axiom,
! [X_941: $int] :
( mem0(X_941,g_s677_668)
=> ( $greatereq(X_941,0)
& $lesseq(X_941,max_int) ) ) ).
tff('Define:ctx:761',axiom,
~ ! [X_942: $int] :
( mem0(X_942,g_s677_668)
<=> $false ) ).
tff('Define:ctx:762',axiom,
! [X_943: $int] :
( mem0(X_943,g_s677_668)
<=> ! [X_944: $int,X_945: $int] :
( ( mem0(X_944,g_s677_668)
& ! [X_946: $int] :
( mem0(X_946,g_s677_668)
=> $lesseq(X_944,X_946) )
& mem0(X_945,g_s677_668)
& ! [X_947: $int] :
( mem0(X_947,g_s677_668)
=> $greatereq(X_945,X_947) ) )
=> ( $greatereq(X_943,X_944)
& $lesseq(X_943,X_945) ) ) ) ).
tff('Define:ctx:763',axiom,
! [X_948: $int] :
( mem0(X_948,g_s678_669)
=> ( $greatereq(X_948,0)
& $lesseq(X_948,max_int) ) ) ).
tff('Define:ctx:764',axiom,
~ ! [X_949: $int] :
( mem0(X_949,g_s678_669)
<=> $false ) ).
tff('Define:ctx:765',axiom,
! [X_950: $int] :
( mem0(X_950,g_s678_669)
<=> ! [X_951: $int,X_952: $int] :
( ( mem0(X_951,g_s678_669)
& ! [X_953: $int] :
( mem0(X_953,g_s678_669)
=> $lesseq(X_951,X_953) )
& mem0(X_952,g_s678_669)
& ! [X_954: $int] :
( mem0(X_954,g_s678_669)
=> $greatereq(X_952,X_954) ) )
=> ( $greatereq(X_950,X_951)
& $lesseq(X_950,X_952) ) ) ) ).
tff('Define:ctx:766',axiom,
! [X_955: $int] :
( mem0(X_955,g_s677_668)
<=> mem0(X_955,g_s678_669) ) ).
tff('Define:ctx:767',axiom,
! [X_956: $int] :
( mem0(X_956,g_s679_670)
=> ( $greatereq(X_956,0)
& $lesseq(X_956,max_int) ) ) ).
tff('Define:ctx:768',axiom,
~ ! [X_957: $int] :
( mem0(X_957,g_s679_670)
<=> $false ) ).
tff('Define:ctx:769',axiom,
! [X_958: $int] :
( ( X_958 = 0 )
=> mem0(X_958,g_s679_670) ) ).
tff('Define:ctx:77',axiom,
g_s279_279 = 27 ).
tff('Define:ctx:770',axiom,
! [X_959: $int] :
( mem0(X_959,g_s679_670)
<=> ! [X_960: $int,X_961: $int] :
( ( mem0(X_960,g_s679_670)
& ! [X_962: $int] :
( mem0(X_962,g_s679_670)
=> $lesseq(X_960,X_962) )
& mem0(X_961,g_s679_670)
& ! [X_963: $int] :
( mem0(X_963,g_s679_670)
=> $greatereq(X_961,X_963) ) )
=> ( $greatereq(X_959,X_960)
& $lesseq(X_959,X_961) ) ) ) ).
tff('Define:ctx:771',axiom,
! [X_964: $int] :
( mem0(X_964,g_s680_671)
<=> mem0(X_964,g_s679_670) ) ).
tff('Define:ctx:772',axiom,
! [X_965: $int] :
( mem0(X_965,g_s681_672)
=> ( $greatereq(X_965,0)
& $lesseq(X_965,max_int) ) ) ).
tff('Define:ctx:773',axiom,
~ ! [X_966: $int] :
( mem0(X_966,g_s681_672)
<=> $false ) ).
tff('Define:ctx:774',axiom,
! [X_967: $int] :
( mem0(X_967,g_s681_672)
<=> ! [X_968: $int,X_969: $int] :
( ( mem0(X_968,g_s681_672)
& ! [X_970: $int] :
( mem0(X_970,g_s681_672)
=> $lesseq(X_968,X_970) )
& mem0(X_969,g_s681_672)
& ! [X_971: $int] :
( mem0(X_971,g_s681_672)
=> $greatereq(X_969,X_971) ) )
=> ( $greatereq(X_967,X_968)
& $lesseq(X_967,X_969) ) ) ) ).
tff('Define:ctx:775',axiom,
! [X_972: $int] :
( mem0(X_972,g_s682_673)
=> ( $greatereq(X_972,0)
& $lesseq(X_972,max_int) ) ) ).
tff('Define:ctx:776',axiom,
~ ! [X_973: $int] :
( mem0(X_973,g_s682_673)
<=> $false ) ).
tff('Define:ctx:777',axiom,
! [X_974: $int] :
( mem0(X_974,g_s682_673)
<=> ! [X_975: $int,X_976: $int] :
( ( mem0(X_975,g_s682_673)
& ! [X_977: $int] :
( mem0(X_977,g_s682_673)
=> $lesseq(X_975,X_977) )
& mem0(X_976,g_s682_673)
& ! [X_978: $int] :
( mem0(X_978,g_s682_673)
=> $greatereq(X_976,X_978) ) )
=> ( $greatereq(X_974,X_975)
& $lesseq(X_974,X_976) ) ) ) ).
tff('Define:ctx:778',axiom,
! [X_979: $int] :
( mem0(X_979,g_s681_672)
<=> mem0(X_979,g_s682_673) ) ).
tff('Define:ctx:779',axiom,
! [X_980: $int] :
( mem0(X_980,g_s675_666)
<=> mem0(X_980,g_s676_667) ) ).
tff('Define:ctx:78',axiom,
g_s280_280 = 28 ).
tff('Define:ctx:780',axiom,
! [X_981: $int] :
( mem0(X_981,g_s683_674)
=> ( $greatereq(X_981,0)
& $lesseq(X_981,max_int) ) ) ).
tff('Define:ctx:781',axiom,
~ ! [X_982: $int] :
( mem0(X_982,g_s683_674)
<=> $false ) ).
tff('Define:ctx:782',axiom,
! [X_983: $int] :
( mem0(X_983,g_s683_674)
<=> ! [X_984: $int,X_985: $int] :
( ( mem0(X_984,g_s683_674)
& ! [X_986: $int] :
( mem0(X_986,g_s683_674)
=> $lesseq(X_984,X_986) )
& mem0(X_985,g_s683_674)
& ! [X_987: $int] :
( mem0(X_987,g_s683_674)
=> $greatereq(X_985,X_987) ) )
=> ( $greatereq(X_983,X_984)
& $lesseq(X_983,X_985) ) ) ) ).
tff('Define:ctx:783',axiom,
! [X_988: $int] :
( mem0(X_988,g_s684_675)
=> ( $greatereq(X_988,0)
& $lesseq(X_988,max_int) ) ) ).
tff('Define:ctx:784',axiom,
~ ! [X_989: $int] :
( mem0(X_989,g_s684_675)
<=> $false ) ).
tff('Define:ctx:785',axiom,
! [X_990: $int] :
( mem0(X_990,g_s684_675)
<=> ! [X_991: $int,X_992: $int] :
( ( mem0(X_991,g_s683_674)
& ! [X_993: $int] :
( mem0(X_993,g_s683_674)
=> $lesseq(X_991,X_993) )
& mem0(X_992,g_s683_674)
& ! [X_994: $int] :
( mem0(X_994,g_s683_674)
=> $greatereq(X_992,X_994) ) )
=> ( $greatereq(X_990,X_991)
& $lesseq(X_990,X_992) ) ) ) ).
tff('Define:ctx:786',axiom,
! [X_995: $int] :
( mem0(X_995,g_s684_675)
<=> mem0(X_995,g_s683_674) ) ).
tff('Define:ctx:787',axiom,
! [X_996: $int] :
( mem0(X_996,g_s685_676)
=> ( $greatereq(X_996,0)
& $lesseq(X_996,max_int) ) ) ).
tff('Define:ctx:788',axiom,
~ ! [X_997: $int] :
( mem0(X_997,g_s685_676)
<=> $false ) ).
tff('Define:ctx:789',axiom,
! [X_998: $int] :
( mem0(X_998,g_s685_676)
<=> ! [X_999: $int,X_1000: $int] :
( ( mem0(X_999,g_s685_676)
& ! [X_1001: $int] :
( mem0(X_1001,g_s685_676)
=> $lesseq(X_999,X_1001) )
& mem0(X_1000,g_s685_676)
& ! [X_1002: $int] :
( mem0(X_1002,g_s685_676)
=> $greatereq(X_1000,X_1002) ) )
=> ( $greatereq(X_998,X_999)
& $lesseq(X_998,X_1000) ) ) ) ).
tff('Define:ctx:79',axiom,
g_s281_281 = 29 ).
tff('Define:ctx:790',axiom,
! [X_1003: $int] :
( mem0(X_1003,g_s686_677)
=> ( $greatereq(X_1003,0)
& $lesseq(X_1003,max_int) ) ) ).
tff('Define:ctx:791',axiom,
~ ! [X_1004: $int] :
( mem0(X_1004,g_s686_677)
<=> $false ) ).
tff('Define:ctx:792',axiom,
! [X_1005: $int] :
( mem0(X_1005,g_s686_677)
<=> ! [X_1006: $int,X_1007: $int] :
( ( mem0(X_1006,g_s685_676)
& ! [X_1008: $int] :
( mem0(X_1008,g_s685_676)
=> $lesseq(X_1006,X_1008) )
& mem0(X_1007,g_s685_676)
& ! [X_1009: $int] :
( mem0(X_1009,g_s685_676)
=> $greatereq(X_1007,X_1009) ) )
=> ( $greatereq(X_1005,X_1006)
& $lesseq(X_1005,X_1007) ) ) ) ).
tff('Define:ctx:793',axiom,
! [X_1010: $int] :
( mem0(X_1010,g_s686_677)
<=> mem0(X_1010,g_s685_676) ) ).
tff('Define:ctx:794',axiom,
! [X_1011: $int] :
( mem0(X_1011,g_s687_678)
=> ( $greatereq(X_1011,0)
& $lesseq(X_1011,max_int) ) ) ).
tff('Define:ctx:795',axiom,
~ ! [X_1012: $int] :
( mem0(X_1012,g_s687_678)
<=> $false ) ).
tff('Define:ctx:796',axiom,
! [X_1013: $int] :
( mem0(X_1013,g_s687_678)
<=> ! [X_1014: $int,X_1015: $int] :
( ( mem0(X_1014,g_s687_678)
& ! [X_1016: $int] :
( mem0(X_1016,g_s687_678)
=> $lesseq(X_1014,X_1016) )
& mem0(X_1015,g_s687_678)
& ! [X_1017: $int] :
( mem0(X_1017,g_s687_678)
=> $greatereq(X_1015,X_1017) ) )
=> ( $greatereq(X_1013,X_1014)
& $lesseq(X_1013,X_1015) ) ) ) ).
tff('Define:ctx:797',axiom,
! [X_1018: $int] :
( mem0(X_1018,g_s688_679)
=> ( $greatereq(X_1018,0)
& $lesseq(X_1018,max_int) ) ) ).
tff('Define:ctx:798',axiom,
~ ! [X_1019: $int] :
( mem0(X_1019,g_s688_679)
<=> $false ) ).
tff('Define:ctx:799',axiom,
! [X_1020: $int] :
( mem0(X_1020,g_s688_679)
<=> ! [X_1021: $int,X_1022: $int] :
( ( mem0(X_1021,g_s688_679)
& ! [X_1023: $int] :
( mem0(X_1023,g_s688_679)
=> $lesseq(X_1021,X_1023) )
& mem0(X_1022,g_s688_679)
& ! [X_1024: $int] :
( mem0(X_1024,g_s688_679)
=> $greatereq(X_1022,X_1024) ) )
=> ( $greatereq(X_1020,X_1021)
& $lesseq(X_1020,X_1022) ) ) ) ).
tff('Define:ctx:8',axiom,
( ! [X_13: $int] :
( mem0(X_13,g_s36_36)
<=> ( ( X_13 = g_s37_37 )
| ( X_13 = g_s38_38 )
| ( X_13 = g_s39_39 ) ) )
& ( g_s37_37 != g_s38_38 )
& ( g_s38_38 != g_s39_39 ) ) ).
tff('Define:ctx:80',axiom,
g_s282_282 = 30 ).
tff('Define:ctx:800',axiom,
! [X_1025: $int] :
( mem0(X_1025,g_s689_680)
=> ( $greatereq(X_1025,0)
& $lesseq(X_1025,max_int) ) ) ).
tff('Define:ctx:801',axiom,
~ ! [X_1026: $int] :
( mem0(X_1026,g_s689_680)
<=> $false ) ).
tff('Define:ctx:802',axiom,
! [X_1027: $int] :
( mem0(X_1027,g_s689_680)
<=> ! [X_1028: $int,X_1029: $int] :
( ( mem0(X_1028,g_s689_680)
& ! [X_1030: $int] :
( mem0(X_1030,g_s689_680)
=> $lesseq(X_1028,X_1030) )
& mem0(X_1029,g_s689_680)
& ! [X_1031: $int] :
( mem0(X_1031,g_s689_680)
=> $greatereq(X_1029,X_1031) ) )
=> ( $greatereq(X_1027,X_1028)
& $lesseq(X_1027,X_1029) ) ) ) ).
tff('Define:ctx:803',axiom,
! [X_1032: $int] :
( mem0(X_1032,g_s690_681)
=> ( $greatereq(X_1032,0)
& $lesseq(X_1032,max_int) ) ) ).
tff('Define:ctx:804',axiom,
~ ! [X_1033: $int] :
( mem0(X_1033,g_s690_681)
<=> $false ) ).
tff('Define:ctx:805',axiom,
! [X_1034: $int] :
( mem0(X_1034,g_s690_681)
<=> ! [X_1035: $int,X_1036: $int] :
( ( mem0(X_1035,g_s690_681)
& ! [X_1037: $int] :
( mem0(X_1037,g_s690_681)
=> $lesseq(X_1035,X_1037) )
& mem0(X_1036,g_s690_681)
& ! [X_1038: $int] :
( mem0(X_1038,g_s690_681)
=> $greatereq(X_1036,X_1038) ) )
=> ( $greatereq(X_1034,X_1035)
& $lesseq(X_1034,X_1036) ) ) ) ).
tff('Define:ctx:806',axiom,
! [X_1039: $int] :
( mem0(X_1039,g_s691_682)
=> ( $greatereq(X_1039,0)
& $lesseq(X_1039,max_int) ) ) ).
tff('Define:ctx:807',axiom,
~ ! [X_1040: $int] :
( mem0(X_1040,g_s691_682)
<=> $false ) ).
tff('Define:ctx:808',axiom,
! [X_1041: $int] :
( mem0(X_1041,g_s691_682)
<=> ! [X_1042: $int,X_1043: $int] :
( ( mem0(X_1042,g_s690_681)
& ! [X_1044: $int] :
( mem0(X_1044,g_s690_681)
=> $lesseq(X_1042,X_1044) )
& mem0(X_1043,g_s690_681)
& ! [X_1045: $int] :
( mem0(X_1045,g_s690_681)
=> $greatereq(X_1043,X_1045) ) )
=> ( $greatereq(X_1041,X_1042)
& $lesseq(X_1041,X_1043) ) ) ) ).
tff('Define:ctx:809',axiom,
! [X_1046: $int] :
( mem0(X_1046,g_s691_682)
<=> mem0(X_1046,g_s690_681) ) ).
tff('Define:ctx:81',axiom,
g_s283_283 = 31 ).
tff('Define:ctx:810',axiom,
! [X_1047: $int] :
( mem0(X_1047,g_s692_683)
=> ( $greatereq(X_1047,0)
& $lesseq(X_1047,max_int) ) ) ).
tff('Define:ctx:811',axiom,
~ ! [X_1048: $int] :
( mem0(X_1048,g_s692_683)
<=> $false ) ).
tff('Define:ctx:812',axiom,
! [X_1049: $int] :
( mem0(X_1049,g_s692_683)
<=> ! [X_1050: $int,X_1051: $int] :
( ( mem0(X_1050,g_s692_683)
& ! [X_1052: $int] :
( mem0(X_1052,g_s692_683)
=> $lesseq(X_1050,X_1052) )
& mem0(X_1051,g_s692_683)
& ! [X_1053: $int] :
( mem0(X_1053,g_s692_683)
=> $greatereq(X_1051,X_1053) ) )
=> ( $greatereq(X_1049,X_1050)
& $lesseq(X_1049,X_1051) ) ) ) ).
tff('Define:ctx:813',axiom,
! [X_1054: $int] :
( mem0(X_1054,g_s680_671)
=> ( $greatereq(X_1054,0)
& $lesseq(X_1054,max_int) ) ) ).
tff('Define:ctx:814',axiom,
~ ! [X_1055: $int] :
( mem0(X_1055,g_s680_671)
<=> $false ) ).
tff('Define:ctx:815',axiom,
! [X_1056: $int] :
( mem0(X_1056,g_s680_671)
<=> ! [X_1057: $int,X_1058: $int] :
( ( mem0(X_1057,g_s680_671)
& ! [X_1059: $int] :
( mem0(X_1059,g_s680_671)
=> $lesseq(X_1057,X_1059) )
& mem0(X_1058,g_s680_671)
& ! [X_1060: $int] :
( mem0(X_1060,g_s680_671)
=> $greatereq(X_1058,X_1060) ) )
=> ( $greatereq(X_1056,X_1057)
& $lesseq(X_1056,X_1058) ) ) ) ).
tff('Define:ctx:816',axiom,
! [X_1061: $int] :
( mem0(X_1061,g_s693_684)
=> ( $greatereq(X_1061,0)
& $lesseq(X_1061,max_int) ) ) ).
tff('Define:ctx:817',axiom,
~ ! [X_1062: $int] :
( mem0(X_1062,g_s693_684)
<=> $false ) ).
tff('Define:ctx:818',axiom,
! [X_1063: $int] :
( mem0(X_1063,g_s693_684)
<=> ! [X_1064: $int,X_1065: $int] :
( ( mem0(X_1064,g_s693_684)
& ! [X_1066: $int] :
( mem0(X_1066,g_s693_684)
=> $lesseq(X_1064,X_1066) )
& mem0(X_1065,g_s693_684)
& ! [X_1067: $int] :
( mem0(X_1067,g_s693_684)
=> $greatereq(X_1065,X_1067) ) )
=> ( $greatereq(X_1063,X_1064)
& $lesseq(X_1063,X_1065) ) ) ) ).
tff('Define:ctx:819',axiom,
! [X_1068: $int] :
( mem0(X_1068,g_s694_685)
=> ( $greatereq(X_1068,0)
& $lesseq(X_1068,max_int) ) ) ).
tff('Define:ctx:82',axiom,
? [X_127: set_4] :
( ! [X_128: $o,X_129: $o] :
( mem4((X_129),(X_128),X_127)
<=> mem4((X_129),(X_128),g_s284_284) )
& ! [X_130: $o,X_131: $o,X_132: $o] :
( ( mem4((X_130),(X_131),X_127)
& mem4((X_130),(X_132),X_127) )
=> ( (X_131)
<=> (X_132) ) )
& ! [X_133: $o] :
( $true
<=> ? [X_134: $o] : mem4((X_133),(X_134),X_127) )
& ! [X_135: $o] :
( ? [X_136: $o] : mem4((X_136),(X_135),X_127)
=> $true ) ) ).
tff('Define:ctx:820',axiom,
~ ! [X_1069: $int] :
( mem0(X_1069,g_s694_685)
<=> $false ) ).
tff('Define:ctx:821',axiom,
! [X_1070: $int] :
( mem0(X_1070,g_s694_685)
<=> ! [X_1071: $int,X_1072: $int] :
( ( mem0(X_1071,g_s694_685)
& ! [X_1073: $int] :
( mem0(X_1073,g_s694_685)
=> $lesseq(X_1071,X_1073) )
& mem0(X_1072,g_s694_685)
& ! [X_1074: $int] :
( mem0(X_1074,g_s694_685)
=> $greatereq(X_1072,X_1074) ) )
=> ( $greatereq(X_1070,X_1071)
& $lesseq(X_1070,X_1072) ) ) ) ).
tff('Define:ctx:822',axiom,
! [X_1075: $int] :
( mem0(X_1075,g_s695_686)
=> ( $greatereq(X_1075,0)
& $lesseq(X_1075,max_int) ) ) ).
tff('Define:ctx:823',axiom,
~ ! [X_1076: $int] :
( mem0(X_1076,g_s695_686)
<=> $false ) ).
tff('Define:ctx:824',axiom,
! [X_1077: $int] :
( mem0(X_1077,g_s695_686)
<=> ! [X_1078: $int,X_1079: $int] :
( ( mem0(X_1078,g_s695_686)
& ! [X_1080: $int] :
( mem0(X_1080,g_s695_686)
=> $lesseq(X_1078,X_1080) )
& mem0(X_1079,g_s695_686)
& ! [X_1081: $int] :
( mem0(X_1081,g_s695_686)
=> $greatereq(X_1079,X_1081) ) )
=> ( $greatereq(X_1077,X_1078)
& $lesseq(X_1077,X_1079) ) ) ) ).
tff('Define:ctx:825',axiom,
! [X_1082: $int] :
( mem0(X_1082,g_s696_687)
=> ( $greatereq(X_1082,0)
& $lesseq(X_1082,max_int) ) ) ).
tff('Define:ctx:826',axiom,
~ ! [X_1083: $int] :
( mem0(X_1083,g_s696_687)
<=> $false ) ).
tff('Define:ctx:827',axiom,
! [X_1084: $int] :
( mem0(X_1084,g_s696_687)
<=> ! [X_1085: $int,X_1086: $int] :
( ( mem0(X_1085,g_s696_687)
& ! [X_1087: $int] :
( mem0(X_1087,g_s696_687)
=> $lesseq(X_1085,X_1087) )
& mem0(X_1086,g_s696_687)
& ! [X_1088: $int] :
( mem0(X_1088,g_s696_687)
=> $greatereq(X_1086,X_1088) ) )
=> ( $greatereq(X_1084,X_1085)
& $lesseq(X_1084,X_1086) ) ) ) ).
tff('Define:ctx:828',axiom,
! [X_1089: $int] :
( mem0(X_1089,g_s695_686)
<=> mem0(X_1089,g_s696_687) ) ).
tff('Define:ctx:829',axiom,
! [X_1090: $int] :
( mem0(X_1090,g_s697_688)
=> ( $greatereq(X_1090,0)
& $lesseq(X_1090,max_int) ) ) ).
tff('Define:ctx:83',axiom,
! [X_137: $o,X_138: $o] :
( mem4((X_138),(X_137),g_s284_284)
<=> ( $true
& ( (X_137)
<=> ( (X_138)
<=> $true ) ) ) ) ).
tff('Define:ctx:830',axiom,
~ ! [X_1091: $int] :
( mem0(X_1091,g_s697_688)
<=> $false ) ).
tff('Define:ctx:831',axiom,
! [X_1092: $int] :
( mem0(X_1092,g_s697_688)
<=> ! [X_1093: $int,X_1094: $int] :
( ( mem0(X_1093,g_s697_688)
& ! [X_1095: $int] :
( mem0(X_1095,g_s697_688)
=> $lesseq(X_1093,X_1095) )
& mem0(X_1094,g_s697_688)
& ! [X_1096: $int] :
( mem0(X_1096,g_s697_688)
=> $greatereq(X_1094,X_1096) ) )
=> ( $greatereq(X_1092,X_1093)
& $lesseq(X_1092,X_1094) ) ) ) ).
tff('Define:ctx:832',axiom,
! [X_1097: $int] :
( mem0(X_1097,g_s698_689)
=> ( $greatereq(X_1097,0)
& $lesseq(X_1097,max_int) ) ) ).
tff('Define:ctx:833',axiom,
~ ! [X_1098: $int] :
( mem0(X_1098,g_s698_689)
<=> $false ) ).
tff('Define:ctx:834',axiom,
! [X_1099: $int] :
( mem0(X_1099,g_s698_689)
<=> ! [X_1100: $int,X_1101: $int] :
( ( mem0(X_1100,g_s698_689)
& ! [X_1102: $int] :
( mem0(X_1102,g_s698_689)
=> $lesseq(X_1100,X_1102) )
& mem0(X_1101,g_s698_689)
& ! [X_1103: $int] :
( mem0(X_1103,g_s698_689)
=> $greatereq(X_1101,X_1103) ) )
=> ( $greatereq(X_1099,X_1100)
& $lesseq(X_1099,X_1101) ) ) ) ).
tff('Define:ctx:835',axiom,
! [X_1104: $int] :
( mem0(X_1104,g_s699_690)
=> ( $greatereq(X_1104,0)
& $lesseq(X_1104,max_int) ) ) ).
tff('Define:ctx:836',axiom,
~ ! [X_1105: $int] :
( mem0(X_1105,g_s699_690)
<=> $false ) ).
tff('Define:ctx:837',axiom,
! [X_1106: $int] :
( mem0(X_1106,g_s699_690)
<=> ! [X_1107: $int,X_1108: $int] :
( ( mem0(X_1107,g_s699_690)
& ! [X_1109: $int] :
( mem0(X_1109,g_s699_690)
=> $lesseq(X_1107,X_1109) )
& mem0(X_1108,g_s699_690)
& ! [X_1110: $int] :
( mem0(X_1110,g_s699_690)
=> $greatereq(X_1108,X_1110) ) )
=> ( $greatereq(X_1106,X_1107)
& $lesseq(X_1106,X_1108) ) ) ) ).
tff('Define:ctx:838',axiom,
! [X_1111: $int] :
( mem0(X_1111,g_s699_690)
<=> mem0(X_1111,g_s698_689) ) ).
tff('Define:ctx:839',axiom,
! [X_1112: $int] :
( mem0(X_1112,g_s700_691)
=> ( $greatereq(X_1112,0)
& $lesseq(X_1112,max_int) ) ) ).
tff('Define:ctx:84',axiom,
? [X_139: set_4] :
( ! [X_140: $o,X_141: $o] :
( mem4((X_141),(X_140),X_139)
<=> mem4((X_141),(X_140),g_s286_285) )
& ! [X_142: $o,X_143: $o,X_144: $o] :
( ( mem4((X_142),(X_143),X_139)
& mem4((X_142),(X_144),X_139) )
=> ( (X_143)
<=> (X_144) ) )
& ! [X_145: $o] :
( $true
<=> ? [X_146: $o] : mem4((X_145),(X_146),X_139) )
& ! [X_147: $o] :
( ? [X_148: $o] : mem4((X_148),(X_147),X_139)
=> $true ) ) ).
tff('Define:ctx:840',axiom,
~ ! [X_1113: $int] :
( mem0(X_1113,g_s700_691)
<=> $false ) ).
tff('Define:ctx:841',axiom,
! [X_1114: $int] :
( mem0(X_1114,g_s700_691)
<=> ! [X_1115: $int,X_1116: $int] :
( ( mem0(X_1115,g_s700_691)
& ! [X_1117: $int] :
( mem0(X_1117,g_s700_691)
=> $lesseq(X_1115,X_1117) )
& mem0(X_1116,g_s700_691)
& ! [X_1118: $int] :
( mem0(X_1118,g_s700_691)
=> $greatereq(X_1116,X_1118) ) )
=> ( $greatereq(X_1114,X_1115)
& $lesseq(X_1114,X_1116) ) ) ) ).
tff('Define:ctx:842',axiom,
! [X_1119: $int] :
( mem0(X_1119,g_s701_692)
=> ( $greatereq(X_1119,0)
& $lesseq(X_1119,max_int) ) ) ).
tff('Define:ctx:843',axiom,
~ ! [X_1120: $int] :
( mem0(X_1120,g_s701_692)
<=> $false ) ).
tff('Define:ctx:844',axiom,
! [X_1121: $int] :
( mem0(X_1121,g_s701_692)
<=> ! [X_1122: $int,X_1123: $int] :
( ( mem0(X_1122,g_s701_692)
& ! [X_1124: $int] :
( mem0(X_1124,g_s701_692)
=> $lesseq(X_1122,X_1124) )
& mem0(X_1123,g_s701_692)
& ! [X_1125: $int] :
( mem0(X_1125,g_s701_692)
=> $greatereq(X_1123,X_1125) ) )
=> ( $greatereq(X_1121,X_1122)
& $lesseq(X_1121,X_1123) ) ) ) ).
tff('Define:ctx:845',axiom,
! [X_1126: $int] :
( mem0(X_1126,g_s701_692)
<=> mem0(X_1126,g_s700_691) ) ).
tff('Define:ctx:846',axiom,
mem0(g_s702_693,g_s133_133) ).
tff('Define:ctx:847',axiom,
~ mem0(g_s702_693,g_s329_320) ).
tff('Define:ctx:848',axiom,
mem0(g_s703_694,g_s135_135) ).
tff('Define:ctx:849',axiom,
~ mem0(g_s703_694,g_s339_330) ).
tff('Define:ctx:85',axiom,
! [X_149: $o,X_150: $o] :
( mem4((X_150),(X_149),g_s286_285)
<=> mem4((X_150),(X_149),g_s284_284) ) ).
tff('Define:ctx:850',axiom,
mem0(g_s704_695,g_s661_652) ).
tff('Define:ctx:851',axiom,
~ mem0(g_s704_695,g_s662_653) ).
tff('Define:ctx:852',axiom,
mem0(g_s705_696,g_s136_136) ).
tff('Define:ctx:853',axiom,
~ mem0(g_s705_696,g_s333_324) ).
tff('Define:ctx:854',axiom,
mem0(g_s706_697,g_s652_643) ).
tff('Define:ctx:855',axiom,
~ mem0(g_s706_697,g_s663_654) ).
tff('Define:ctx:856',axiom,
g_s705_696 = g_s706_697 ).
tff('Define:ctx:857',axiom,
! [X_1127: $int] :
( mem0(X_1127,g_s333_324)
<=> mem0(X_1127,g_s663_654) ) ).
tff('Define:ctx:858',axiom,
! [X_1128: $int] :
( mem0(X_1128,g_s136_136)
<=> mem0(X_1128,g_s652_643) ) ).
tff('Define:ctx:859',axiom,
mem0(g_s707_698,g_s133_133) ).
tff('Define:ctx:86',axiom,
? [X_151: set_4] :
( ! [X_152: $o,X_153: $o] :
( mem4((X_153),(X_152),X_151)
<=> mem4((X_153),(X_152),g_s287_286) )
& ! [X_154: $o,X_155: $o,X_156: $o] :
( ( mem4((X_154),(X_155),X_151)
& mem4((X_154),(X_156),X_151) )
=> ( (X_155)
<=> (X_156) ) )
& ! [X_157: $o] :
( $true
<=> ? [X_158: $o] : mem4((X_157),(X_158),X_151) )
& ! [X_159: $o] :
( ? [X_160: $o] : mem4((X_160),(X_159),X_151)
=> $true ) ) ).
tff('Define:ctx:860',axiom,
mem0(g_s707_698,g_s329_320) ).
tff('Define:ctx:861',axiom,
mem0(g_s708_699,g_s134_134) ).
tff('Define:ctx:862',axiom,
mem0(g_s708_699,g_s331_322) ).
tff('Define:ctx:863',axiom,
mem0(g_s709_700,g_s133_133) ).
tff('Define:ctx:864',axiom,
mem0(g_s709_700,g_s329_320) ).
tff('Define:ctx:865',axiom,
mem0(g_s710_701,g_s654_645) ).
tff('Define:ctx:866',axiom,
g_s710_701 = g_s707_698 ).
tff('Define:ctx:867',axiom,
mem0(g_s711_702,g_s658_649) ).
tff('Define:ctx:868',axiom,
g_s711_702 = g_s708_699 ).
tff('Define:ctx:869',axiom,
mem0(g_s712_703,g_s693_684) ).
tff('Define:ctx:87',axiom,
! [X_161: $o,X_162: $o] :
( mem4((X_162),(X_161),g_s287_286)
<=> ( $true
& ( (X_161)
<=> ( (X_162)
<=> $false ) ) ) ) ).
tff('Define:ctx:870',axiom,
mem0(g_s713_704,g_s694_685) ).
tff('Define:ctx:871',axiom,
! [X_1129: $int] :
( mem0(X_1129,g_s693_684)
<=> mem0(X_1129,g_s694_685) ) ).
tff('Define:ctx:872',axiom,
g_s713_704 = g_s712_703 ).
tff('Define:ctx:873',axiom,
mem0(g_s714_705,g_s695_686) ).
tff('Define:ctx:874',axiom,
mem0(g_s715_706,g_s696_687) ).
tff('Define:ctx:875',axiom,
g_s715_706 = g_s714_705 ).
tff('Define:ctx:876',axiom,
mem0(g_s716_707,g_s135_135) ).
tff('Define:ctx:877',axiom,
mem0(g_s716_707,g_s339_330) ).
tff('Define:ctx:878',axiom,
mem0(g_s717_708,g_s661_652) ).
tff('Define:ctx:879',axiom,
mem0(g_s717_708,g_s662_653) ).
tff('Define:ctx:88',axiom,
? [X_163: set_4] :
( ! [X_164: $o,X_165: $o] :
( mem4((X_165),(X_164),X_163)
<=> mem4((X_165),(X_164),g_s288_287) )
& ! [X_166: $o,X_167: $o,X_168: $o] :
( ( mem4((X_166),(X_167),X_163)
& mem4((X_166),(X_168),X_163) )
=> ( (X_167)
<=> (X_168) ) )
& ! [X_169: $o] :
( $true
<=> ? [X_170: $o] : mem4((X_169),(X_170),X_163) )
& ! [X_171: $o] :
( ? [X_172: $o] : mem4((X_172),(X_171),X_163)
=> $true ) ) ).
tff('Define:ctx:880',axiom,
g_s717_708 = g_s716_707 ).
tff('Define:ctx:881',axiom,
mem0(g_s718_709,g_s136_136) ).
tff('Define:ctx:882',axiom,
mem0(g_s718_709,g_s333_324) ).
tff('Define:ctx:883',axiom,
mem0(g_s719_710,g_s667_658) ).
tff('Define:ctx:884',axiom,
mem0(g_s720_711,g_s668_659) ).
tff('Define:ctx:885',axiom,
mem0(g_s721_712,g_s668_659) ).
tff('Define:ctx:886',axiom,
g_s721_712 = 1 ).
tff('Define:ctx:887',axiom,
mem0(g_s722_713,g_s669_660) ).
tff('Define:ctx:888',axiom,
mem0(g_s723_714,g_s670_661) ).
tff('Define:ctx:889',axiom,
mem0(g_s724_715,g_s672_663) ).
tff('Define:ctx:89',axiom,
! [X_173: $o,X_174: $o] :
( mem4((X_174),(X_173),g_s288_287)
<=> mem4((X_174),(X_173),g_s287_286) ) ).
tff('Define:ctx:890',axiom,
mem0(g_s725_716,g_s673_664) ).
tff('Define:ctx:891',axiom,
mem0(g_s726_717,g_s674_665) ).
tff('Define:ctx:892',axiom,
mem0(g_s727_718,g_s676_667) ).
tff('Define:ctx:893',axiom,
mem0(g_s728_719,g_s675_666) ).
tff('Define:ctx:894',axiom,
g_s727_718 = g_s728_719 ).
tff('Define:ctx:895',axiom,
mem0(g_s729_720,g_s682_673) ).
tff('Define:ctx:896',axiom,
mem0(g_s730_721,g_s681_672) ).
tff('Define:ctx:897',axiom,
g_s729_720 = g_s730_721 ).
tff('Define:ctx:898',axiom,
mem0(g_s731_722,g_s678_669) ).
tff('Define:ctx:899',axiom,
mem0(g_s732_723,g_s677_668) ).
tff('Define:ctx:9',axiom,
( ! [X_14: $int] :
( mem0(X_14,g_s40_40)
<=> ( ( X_14 = g_s41_41 )
| ( X_14 = g_s42_42 ) ) )
& ( g_s41_41 != g_s42_42 ) ) ).
tff('Define:ctx:90',axiom,
? [X_175: set_5] :
( ! [X_176: $o,X_177: $o,X_178: $o] :
( mem5((X_178),(X_177),(X_176),X_175)
<=> mem5((X_178),(X_177),(X_176),g_s289_288) )
& ! [X_179: $o,X_180: $o,X_181: $o,X_182: $o] :
( ( mem5((X_180),(X_179),(X_181),X_175)
& mem5((X_180),(X_179),(X_182),X_175) )
=> ( (X_181)
<=> (X_182) ) )
& ! [X_183: $o,X_184: $o] :
( ( $true
& $true )
<=> ? [X_185: $o] : mem5((X_184),(X_183),(X_185),X_175) )
& ! [X_186: $o] :
( ? [X_187: $o,X_188: $o] : mem5((X_188),(X_187),(X_186),X_175)
=> $true ) ) ).
tff('Define:ctx:900',axiom,
g_s731_722 = g_s732_723 ).
tff('Define:ctx:901',axiom,
mem0(g_s733_724,g_s683_674) ).
tff('Define:ctx:902',axiom,
mem0(g_s734_725,g_s684_675) ).
tff('Define:ctx:903',axiom,
g_s734_725 = g_s733_724 ).
tff('Define:ctx:904',axiom,
mem0(g_s735_726,g_s685_676) ).
tff('Define:ctx:905',axiom,
mem0(g_s736_727,g_s686_677) ).
tff('Define:ctx:906',axiom,
g_s736_727 = g_s735_726 ).
tff('Define:ctx:907',axiom,
mem0(g_s737_728,g_s680_671) ).
tff('Define:ctx:908',axiom,
mem0(g_s738_729,g_s679_670) ).
tff('Define:ctx:909',axiom,
g_s738_729 = g_s737_728 ).
tff('Define:ctx:91',axiom,
! [X_189: $o,X_190: $o,X_191: $o] :
( mem5((X_191),(X_190),(X_189),g_s289_288)
<=> ( $true
& $true
& ( (X_189)
<=> ( ( (X_191)
<=> $true )
| ( (X_190)
<=> $true ) ) ) ) ) ).
tff('Define:ctx:910',axiom,
mem0(g_s739_730,g_s687_678) ).
tff('Define:ctx:911',axiom,
mem0(g_s740_731,g_s692_683) ).
tff('Define:ctx:912',axiom,
mem0(g_s741_732,g_s688_679) ).
tff('Define:ctx:913',axiom,
mem0(g_s742_733,g_s689_680) ).
tff('Define:ctx:914',axiom,
mem0(g_s743_734,g_s690_681) ).
tff('Define:ctx:915',axiom,
mem0(g_s744_735,g_s697_688) ).
tff('Define:ctx:916',axiom,
mem0(g_s745_736,g_s698_689) ).
tff('Define:ctx:917',axiom,
mem0(g_s746_737,g_s699_690) ).
tff('Define:ctx:918',axiom,
mem0(g_s747_738,g_s700_691) ).
tff('Define:ctx:919',axiom,
mem0(g_s748_739,g_s701_692) ).
tff('Define:ctx:92',axiom,
? [X_192: set_5] :
( ! [X_193: $o,X_194: $o,X_195: $o] :
( mem5((X_195),(X_194),(X_193),X_192)
<=> mem5((X_195),(X_194),(X_193),g_s292_289) )
& ! [X_196: $o,X_197: $o,X_198: $o,X_199: $o] :
( ( mem5((X_197),(X_196),(X_198),X_192)
& mem5((X_197),(X_196),(X_199),X_192) )
=> ( (X_198)
<=> (X_199) ) )
& ! [X_200: $o,X_201: $o] :
( ( $true
& $true )
<=> ? [X_202: $o] : mem5((X_201),(X_200),(X_202),X_192) )
& ! [X_203: $o] :
( ? [X_204: $o,X_205: $o] : mem5((X_205),(X_204),(X_203),X_192)
=> $true ) ) ).
tff('Define:ctx:920',axiom,
! [X_1130: $int] :
( mem0(X_1130,g_s749_740)
=> ( $greatereq(X_1130,0)
& $lesseq(X_1130,max_int) ) ) ).
tff('Define:ctx:921',axiom,
~ ! [X_1131: $int] :
( mem0(X_1131,g_s749_740)
<=> $false ) ).
tff('Define:ctx:922',axiom,
! [X_1132: $int] :
( mem0(X_1132,g_s749_740)
<=> ! [X_1133: $int,X_1134: $int] :
( ( mem0(X_1133,g_s749_740)
& ! [X_1135: $int] :
( mem0(X_1135,g_s749_740)
=> $lesseq(X_1133,X_1135) )
& mem0(X_1134,g_s749_740)
& ! [X_1136: $int] :
( mem0(X_1136,g_s749_740)
=> $greatereq(X_1134,X_1136) ) )
=> ( $greatereq(X_1132,X_1133)
& $lesseq(X_1132,X_1134) ) ) ) ).
tff('Define:ctx:923',axiom,
mem0(g_s750_741,g_s749_740) ).
tff('Define:ctx:924',axiom,
! [X_1137: $int] :
( mem0(X_1137,g_s751_742)
=> ( $greatereq(X_1137,0)
& $lesseq(X_1137,max_int) ) ) ).
tff('Define:ctx:925',axiom,
~ ! [X_1138: $int] :
( mem0(X_1138,g_s751_742)
<=> $false ) ).
tff('Define:ctx:926',axiom,
! [X_1139: $int] :
( mem0(X_1139,g_s751_742)
<=> ! [X_1140: $int,X_1141: $int] :
( ( mem0(X_1140,g_s751_742)
& ! [X_1142: $int] :
( mem0(X_1142,g_s751_742)
=> $lesseq(X_1140,X_1142) )
& mem0(X_1141,g_s751_742)
& ! [X_1143: $int] :
( mem0(X_1143,g_s751_742)
=> $greatereq(X_1141,X_1143) ) )
=> ( $greatereq(X_1139,X_1140)
& $lesseq(X_1139,X_1141) ) ) ) ).
tff('Define:ctx:927',axiom,
mem0(g_s752_743,g_s751_742) ).
tff('Define:ctx:928',axiom,
mem0(g_s753_744,g_s749_740) ).
tff('Define:ctx:929',axiom,
g_s753_744 = 1 ).
tff('Define:ctx:93',axiom,
! [X_206: $o,X_207: $o,X_208: $o] :
( mem5((X_208),(X_207),(X_206),g_s292_289)
<=> mem5((X_208),(X_207),(X_206),g_s289_288) ) ).
tff('Define:ctx:930',axiom,
! [X_1144: $int] :
( mem0(X_1144,g_s754_745)
<=> ( $greatereq(X_1144,0)
& $lesseq(X_1144,max_int) ) ) ).
tff('Define:ctx:931',axiom,
mem0(g_s755_746,g_s754_745) ).
tff('Define:ctx:932',axiom,
! [X_1145: $int] :
( mem0(X_1145,g_s756_747)
=> ( $greatereq(X_1145,0)
& $lesseq(X_1145,max_int) ) ) ).
tff('Define:ctx:933',axiom,
! [X_1146: $int] :
( mem0(X_1146,g_s756_747)
<=> ! [X_1147: $int,X_1148: $int] :
( ( mem0(X_1147,g_s756_747)
& ! [X_1149: $int] :
( mem0(X_1149,g_s756_747)
=> $lesseq(X_1147,X_1149) )
& mem0(X_1148,g_s756_747)
& ! [X_1150: $int] :
( mem0(X_1150,g_s756_747)
=> $greatereq(X_1148,X_1150) ) )
=> ( $greatereq(X_1146,X_1147)
& $lesseq(X_1146,X_1148) ) ) ) ).
tff('Define:ctx:934',axiom,
~ ! [X_1151: $int] :
( mem0(X_1151,g_s756_747)
<=> $false ) ).
tff('Define:ctx:935',axiom,
! [X_1152: $int] :
( ( X_1152 = 0 )
=> mem0(X_1152,g_s756_747) ) ).
tff('Define:ctx:936',axiom,
! [X_1153: $int] :
( ( X_1153 = 1 )
=> mem0(X_1153,g_s756_747) ) ).
tff('Define:ctx:937',axiom,
! [X_1154: $int] :
( ( X_1154 = 2 )
=> mem0(X_1154,g_s756_747) ) ).
tff('Define:ctx:938',axiom,
! [X_1155: $int] :
( ( X_1155 = 3 )
=> mem0(X_1155,g_s756_747) ) ).
tff('Define:ctx:939',axiom,
! [X_1156: $int] :
( ( X_1156 = 4 )
=> mem0(X_1156,g_s756_747) ) ).
tff('Define:ctx:94',axiom,
? [X_209: set_5] :
( ! [X_210: $o,X_211: $o,X_212: $o] :
( mem5((X_212),(X_211),(X_210),X_209)
<=> mem5((X_212),(X_211),(X_210),g_s293_290) )
& ! [X_213: $o,X_214: $o,X_215: $o,X_216: $o] :
( ( mem5((X_214),(X_213),(X_215),X_209)
& mem5((X_214),(X_213),(X_216),X_209) )
=> ( (X_215)
<=> (X_216) ) )
& ! [X_217: $o,X_218: $o] :
( ( $true
& $true )
<=> ? [X_219: $o] : mem5((X_218),(X_217),(X_219),X_209) )
& ! [X_220: $o] :
( ? [X_221: $o,X_222: $o] : mem5((X_222),(X_221),(X_220),X_209)
=> $true ) ) ).
tff('Define:ctx:940',axiom,
! [X_1157: $int] :
( ( X_1157 = 5 )
=> mem0(X_1157,g_s756_747) ) ).
tff('Define:ctx:941',axiom,
! [X_1158: $int] :
( ( X_1158 = 6 )
=> mem0(X_1158,g_s756_747) ) ).
tff('Define:ctx:942',axiom,
! [X_1159: $int] :
( ( X_1159 = 7 )
=> mem0(X_1159,g_s756_747) ) ).
tff('Define:ctx:943',axiom,
! [X_1160: $int] :
( ( X_1160 = 8 )
=> mem0(X_1160,g_s756_747) ) ).
tff('Define:ctx:944',axiom,
! [X_1161: $int] :
( ( X_1161 = 9 )
=> mem0(X_1161,g_s756_747) ) ).
tff('Define:ctx:945',axiom,
! [X_1162: $int] :
( ( X_1162 = 10 )
=> mem0(X_1162,g_s756_747) ) ).
tff('Define:ctx:946',axiom,
! [X_1163: $int] :
( ( X_1163 = 11 )
=> mem0(X_1163,g_s756_747) ) ).
tff('Define:ctx:947',axiom,
! [X_1164: $int] :
( ( X_1164 = 12 )
=> mem0(X_1164,g_s756_747) ) ).
tff('Define:ctx:948',axiom,
! [X_1165: $int] :
( ( X_1165 = 13 )
=> mem0(X_1165,g_s756_747) ) ).
tff('Define:ctx:949',axiom,
! [X_1166: $int] :
( ( X_1166 = 14 )
=> mem0(X_1166,g_s756_747) ) ).
tff('Define:ctx:95',axiom,
! [X_223: $o,X_224: $o,X_225: $o] :
( mem5((X_225),(X_224),(X_223),g_s293_290)
<=> mem5((X_225),(X_224),(X_223),g_s289_288) ) ).
tff('Define:ctx:950',axiom,
! [X_1167: $int] :
( ( X_1167 = 15 )
=> mem0(X_1167,g_s756_747) ) ).
tff('Define:ctx:951',axiom,
! [X_1168: $int] :
( ( X_1168 = 16 )
=> mem0(X_1168,g_s756_747) ) ).
tff('Define:ctx:952',axiom,
( $greatereq(g_s757_748,0)
& $lesseq(g_s757_748,max_int) ) ).
tff('Define:ctx:953',axiom,
g_s757_748 = 32 ).
tff('Define:ctx:954',axiom,
( $greatereq(g_s758_749,0)
& $lesseq(g_s758_749,max_int) ) ).
tff('Define:ctx:955',axiom,
g_s758_749 = 226 ).
tff('Define:ctx:956',axiom,
( $greatereq(g_s759_750,0)
& $lesseq(g_s759_750,max_int) ) ).
tff('Define:ctx:957',axiom,
g_s759_750 = 16 ).
tff('Define:ctx:958',axiom,
! [X_1169: $int] :
( mem0(X_1169,g_s760_751)
=> ( $greatereq(X_1169,0)
& $lesseq(X_1169,max_int) ) ) ).
tff('Define:ctx:959',axiom,
~ ! [X_1170: $int] :
( mem0(X_1170,g_s760_751)
<=> $false ) ).
tff('Define:ctx:96',axiom,
? [X_226: set_5] :
( ! [X_227: $o,X_228: $o,X_229: $o] :
( mem5((X_229),(X_228),(X_227),X_226)
<=> mem5((X_229),(X_228),(X_227),g_s294_291) )
& ! [X_230: $o,X_231: $o,X_232: $o,X_233: $o] :
( ( mem5((X_231),(X_230),(X_232),X_226)
& mem5((X_231),(X_230),(X_233),X_226) )
=> ( (X_232)
<=> (X_233) ) )
& ! [X_234: $o,X_235: $o] :
( ( $true
& $true )
<=> ? [X_236: $o] : mem5((X_235),(X_234),(X_236),X_226) )
& ! [X_237: $o] :
( ? [X_238: $o,X_239: $o] : mem5((X_239),(X_238),(X_237),X_226)
=> $true ) ) ).
tff('Define:ctx:960',axiom,
! [X_1171: $int] :
( mem0(X_1171,g_s760_751)
<=> ( $greatereq(X_1171,1)
& $lesseq(X_1171,g_s757_748) ) ) ).
tff('Define:ctx:961',axiom,
! [X_1172: $int] :
( mem0(X_1172,g_s761_752)
=> ( $greatereq(X_1172,0)
& $lesseq(X_1172,max_int) ) ) ).
tff('Define:ctx:962',axiom,
! [X_1173: $int] :
( mem0(X_1173,g_s761_752)
<=> ( $greatereq(X_1173,1)
& $lesseq(X_1173,g_s757_748) ) ) ).
tff('Define:ctx:963',axiom,
! [X_1174: $int] :
( mem0(X_1174,g_s762_753)
=> ( $greatereq(X_1174,0)
& $lesseq(X_1174,max_int) ) ) ).
tff('Define:ctx:964',axiom,
! [X_1175: $int] :
( mem0(X_1175,g_s762_753)
<=> ( $greatereq(X_1175,1)
& $lesseq(X_1175,g_s758_749) ) ) ).
tff('Define:ctx:965',axiom,
( $greatereq(g_s763_754,0)
& $lesseq(g_s763_754,max_int) ) ).
tff('Define:ctx:966',axiom,
g_s763_754 = 8 ).
tff('Define:ctx:967',axiom,
! [X_1176: $int] :
( mem0(X_1176,g_s764_755)
=> ( $greatereq(X_1176,0)
& $lesseq(X_1176,max_int) ) ) ).
tff('Define:ctx:968',axiom,
! [X_1177: $int] :
( mem0(X_1177,g_s764_755)
<=> ( $greatereq(X_1177,0)
& $lesseq(X_1177,g_s763_754) ) ) ).
tff('Define:ctx:969',axiom,
! [X_1178: $int] :
( mem0(X_1178,g_s765_756)
=> mem0(X_1178,g_s764_755) ) ).
tff('Define:ctx:97',axiom,
! [X_240: $o,X_241: $o,X_242: $o] :
( mem5((X_242),(X_241),(X_240),g_s294_291)
<=> ( $true
& $true
& ( (X_240)
<=> ( ( (X_242)
<=> $true )
& ( (X_241)
<=> $true ) ) ) ) ) ).
tff('Define:ctx:970',axiom,
! [X_1179: $int] :
( mem0(X_1179,g_s765_756)
<=> ( $greatereq(X_1179,1)
& $lesseq(X_1179,g_s763_754) ) ) ).
tff('Define:ctx:971',axiom,
mem0(g_s766_757,g_s764_755) ).
tff('Define:ctx:972',axiom,
~ mem0(g_s766_757,g_s765_756) ).
tff('Define:ctx:973',axiom,
g_s766_757 = 0 ).
tff('Define:ctx:974',axiom,
mem0(g_s767_758,g_s756_747) ).
tff('Define:ctx:975',axiom,
! [X_1180: $int] :
( mem0(X_1180,g_s768_759)
=> ( $greatereq(X_1180,0)
& $lesseq(X_1180,max_int) ) ) ).
tff('Define:ctx:976',axiom,
! [X_1181: $int] :
( mem0(X_1181,g_s768_759)
<=> ! [X_1182: $int,X_1183: $int] :
( ( mem0(X_1182,g_s768_759)
& ! [X_1184: $int] :
( mem0(X_1184,g_s768_759)
=> $lesseq(X_1182,X_1184) )
& mem0(X_1183,g_s768_759)
& ! [X_1185: $int] :
( mem0(X_1185,g_s768_759)
=> $greatereq(X_1183,X_1185) ) )
=> ( $greatereq(X_1181,X_1182)
& $lesseq(X_1181,X_1183) ) ) ) ).
tff('Define:ctx:977',axiom,
~ ! [X_1186: $int] :
( mem0(X_1186,g_s768_759)
<=> $false ) ).
tff('Define:ctx:978',axiom,
! [X_1187: $int] :
( mem0(X_1187,g_s769_760)
<=> mem0(X_1187,g_s768_759) ) ).
tff('Define:ctx:979',axiom,
mem0(g_s424_415,g_s768_759) ).
tff('Define:ctx:98',axiom,
? [X_243: set_5] :
( ! [X_244: $o,X_245: $o,X_246: $o] :
( mem5((X_246),(X_245),(X_244),X_243)
<=> mem5((X_246),(X_245),(X_244),g_s295_292) )
& ! [X_247: $o,X_248: $o,X_249: $o,X_250: $o] :
( ( mem5((X_248),(X_247),(X_249),X_243)
& mem5((X_248),(X_247),(X_250),X_243) )
=> ( (X_249)
<=> (X_250) ) )
& ! [X_251: $o,X_252: $o] :
( ( $true
& $true )
<=> ? [X_253: $o] : mem5((X_252),(X_251),(X_253),X_243) )
& ! [X_254: $o] :
( ? [X_255: $o,X_256: $o] : mem5((X_256),(X_255),(X_254),X_243)
=> $true ) ) ).
tff('Define:ctx:980',axiom,
! [X_1188: $int] :
( ( X_1188 = 0 )
=> mem0(X_1188,g_s768_759) ) ).
tff('Define:ctx:981',axiom,
! [X_1189: $int] :
( ( X_1189 = 1 )
=> mem0(X_1189,g_s768_759) ) ).
tff('Define:ctx:982',axiom,
! [X_1190: $int] :
( ( X_1190 = 2 )
=> mem0(X_1190,g_s768_759) ) ).
tff('Define:ctx:983',axiom,
! [X_1191: $int] :
( ( X_1191 = 3 )
=> mem0(X_1191,g_s768_759) ) ).
tff('Define:ctx:984',axiom,
! [X_1192: $int] :
( ( X_1192 = 4 )
=> mem0(X_1192,g_s768_759) ) ).
tff('Define:ctx:985',axiom,
! [X_1193: $int] :
( ( X_1193 = 5 )
=> mem0(X_1193,g_s768_759) ) ).
tff('Define:ctx:986',axiom,
! [X_1194: $int] :
( ( X_1194 = 6 )
=> mem0(X_1194,g_s768_759) ) ).
tff('Define:ctx:987',axiom,
! [X_1195: $int] :
( ( X_1195 = 7 )
=> mem0(X_1195,g_s768_759) ) ).
tff('Define:ctx:988',axiom,
! [X_1196: $int] :
( ( X_1196 = 8 )
=> mem0(X_1196,g_s768_759) ) ).
tff('Define:ctx:989',axiom,
! [X_1197: $int] :
( ( X_1197 = 9 )
=> mem0(X_1197,g_s768_759) ) ).
tff('Define:ctx:99',axiom,
! [X_257: $o,X_258: $o,X_259: $o] :
( mem5((X_259),(X_258),(X_257),g_s295_292)
<=> mem5((X_259),(X_258),(X_257),g_s294_291) ) ).
tff('Define:ctx:990',axiom,
! [X_1198: $int] :
( ( X_1198 = 10 )
=> mem0(X_1198,g_s768_759) ) ).
tff('Define:ctx:991',axiom,
! [X_1199: $int] :
( ( X_1199 = 11 )
=> mem0(X_1199,g_s768_759) ) ).
tff('Define:ctx:992',axiom,
! [X_1200: $int] :
( ( X_1200 = 12 )
=> mem0(X_1200,g_s768_759) ) ).
tff('Define:ctx:993',axiom,
! [X_1201: $int] :
( ( X_1201 = 13 )
=> mem0(X_1201,g_s768_759) ) ).
tff('Define:ctx:994',axiom,
! [X_1202: $int] :
( ( X_1202 = 14 )
=> mem0(X_1202,g_s768_759) ) ).
tff('Define:ctx:995',axiom,
! [X_1203: $int] :
( ( X_1203 = 15 )
=> mem0(X_1203,g_s768_759) ) ).
tff('Define:ctx:996',axiom,
! [X_1204: $int] :
( ( X_1204 = 16 )
=> mem0(X_1204,g_s768_759) ) ).
tff('Define:ctx:997',axiom,
mem0(g_s770_761,g_s768_759) ).
tff('Define:ctx:998',axiom,
! [X_1205: $int] :
( mem0(X_1205,g_s771_762)
<=> ( $greatereq(X_1205,0)
& $lesseq(X_1205,max_int) ) ) ).
tff('Define:ctx:999',axiom,
! [X_1206: $int] :
( mem0(X_1206,g_s772_763)
=> ( $greatereq(X_1206,0)
& $lesseq(X_1206,max_int) ) ) ).
tff('Define:lprp:0',axiom,
( ! [X_2041: $int,X_2042: $int,X_2043: $int] :
( mem7(X_2043,X_2042,X_2041,g_s933_913)
=> ( mem0(X_2043,g_s662_653)
& mem0(X_2042,g_s460_451)
& mem0(X_2041,g_s655_646) ) )
& ! [X_2044: $int,X_2045: $int,X_2046: $int,X_2047: $int] :
( ( mem7(X_2045,X_2044,X_2046,g_s933_913)
& mem7(X_2045,X_2044,X_2047,g_s933_913) )
=> ( X_2046 = X_2047 ) ) ) ).
tff('Define:lprp:1',axiom,
( ! [X_2048: $int,X_2049: $int] :
( mem2(X_2049,X_2048,g_s934_914)
=> ( mem0(X_2049,g_s662_653)
& mem0(X_2048,g_s450_441) ) )
& ! [X_2050: $int,X_2051: $int,X_2052: $int] :
( ( mem2(X_2050,X_2051,g_s934_914)
& mem2(X_2050,X_2052,g_s934_914) )
=> ( X_2051 = X_2052 ) ) ) ).
tff('Define:lprp:10',axiom,
! [L_s931: $int,L_s943: $int,L_s944: $int] :
( mem7(L_s931,L_s944,L_s943,g_s942_922)
=> ? [X_2127: set_0] : mem12(L_s931,L_s943,L_s944,X_2127,g_s941_921) ) ).
tff('Define:lprp:11',axiom,
! [L_s931: $int,L_s943: $int,L_s944: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& mem0(L_s944,g_s460_451) )
=> ? [X_2128: $int] : mem10(L_s931,L_s943,L_s944,L_s945,X_2128,g_s935_915) ) ).
tff('Define:lprp:12',axiom,
! [L_s931: $int,L_s943: $int,L_s944: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& mem0(L_s944,g_s460_451) )
=> ? [X_2129: $int] : mem10(L_s931,L_s943,L_s944,L_s945,X_2129,g_s936_916) ) ).
tff('Define:lprp:13',axiom,
! [L_s931: $int,L_s943: $int,L_s944: $int] :
( mem7(L_s931,L_s944,L_s943,g_s942_922)
=> ! [X_2130: set_0] :
( ! [X_2131: $int] :
( mem0(X_2131,X_2130)
<=> ! [X_2132: $int,X_2133: $int] :
( ( mem10(L_s931,L_s943,g_s6_6,L_s944,X_2132,g_s936_916)
& mem10(L_s931,L_s943,g_s6_6,L_s944,X_2133,g_s935_915) )
=> ( $greatereq(X_2131,X_2132)
& $lesseq(X_2131,X_2133) ) ) )
=> mem12(L_s931,L_s943,L_s944,X_2130,g_s941_921) ) ) ).
tff('Define:lprp:14',axiom,
! [L_s931: $int,L_s943: $int,L_s944: $int] :
( mem7(L_s931,L_s944,L_s943,g_s942_922)
=> ! [X_2134: set_0] :
( ! [X_2135: $int] :
( mem0(X_2135,X_2134)
<=> ! [X_2136: $int,X_2137: $int] :
( ( mem10(L_s931,L_s943,g_s7_7,L_s944,X_2136,g_s935_915)
& mem10(L_s931,L_s943,g_s7_7,L_s944,X_2137,g_s936_916) )
=> ( $greatereq(X_2135,X_2136)
& $lesseq(X_2135,X_2137) ) ) )
=> mem12(L_s931,L_s943,L_s944,X_2134,g_s941_921) ) ) ).
tff('Define:lprp:15',axiom,
! [L_s931: $int,L_s944: $int,L_s945: $int] :
( ( mem0(L_s931,g_s662_653)
& mem0(L_s944,g_s460_451)
& mem0(L_s945,g_s460_451) )
=> ? [X_2138: $int] :
! [X_2139: $int] :
( mem7(L_s931,L_s945,X_2139,g_s933_913)
=> mem10(L_s931,X_2139,L_s944,L_s945,X_2138,g_s935_915) ) ) ).
tff('Define:lprp:16',axiom,
! [L_s931: $int,L_s944: $int,L_s945: $int] :
( ( mem0(L_s931,g_s662_653)
& mem0(L_s944,g_s460_451)
& mem0(L_s945,g_s460_451) )
=> ? [X_2140: $int] :
! [X_2141: $int] :
( mem7(L_s931,L_s945,X_2141,g_s933_913)
=> mem10(L_s931,X_2141,L_s944,L_s945,X_2140,g_s936_916) ) ) ).
tff('Define:lprp:17',axiom,
! [L_s931: $int] :
( mem0(L_s931,g_s662_653)
=> ~ ? [X_2142: $int,X_2143: $int] : mem7(X_2143,X_2142,g_s710_701,g_s933_913) ) ).
tff('Define:lprp:2',axiom,
( ! [X_2053: $int,X_2054: $int,X_2055: $int,X_2056: $int,X_2057: $int] :
( mem10(X_2057,X_2056,X_2055,X_2054,X_2053,g_s935_915)
=> ( mem0(X_2057,g_s662_653)
& mem0(X_2056,g_s329_320)
& mem0(X_2055,g_s460_451)
& mem0(X_2054,g_s460_451)
& mem0(X_2053,g_s450_441) ) )
& ! [X_2058: $int,X_2059: $int,X_2060: $int,X_2061: $int,X_2062: $int,X_2063: $int] :
( ( mem10(X_2061,X_2060,X_2059,X_2058,X_2062,g_s935_915)
& mem10(X_2061,X_2060,X_2059,X_2058,X_2063,g_s935_915) )
=> ( X_2062 = X_2063 ) ) ) ).
tff('Define:lprp:3',axiom,
( ! [X_2064: $int,X_2065: $int,X_2066: $int,X_2067: $int,X_2068: $int] :
( mem10(X_2068,X_2067,X_2066,X_2065,X_2064,g_s936_916)
=> ( mem0(X_2068,g_s662_653)
& mem0(X_2067,g_s329_320)
& mem0(X_2066,g_s460_451)
& mem0(X_2065,g_s460_451)
& mem0(X_2064,g_s450_441) ) )
& ! [X_2069: $int,X_2070: $int,X_2071: $int,X_2072: $int,X_2073: $int,X_2074: $int] :
( ( mem10(X_2072,X_2071,X_2070,X_2069,X_2073,g_s936_916)
& mem10(X_2072,X_2071,X_2070,X_2069,X_2074,g_s936_916) )
=> ( X_2073 = X_2074 ) ) ) ).
tff('Define:lprp:4',axiom,
? [X_2075: set_11] :
( ! [X_2076: set_0,X_2077: $int] :
( mem11(X_2077,X_2076,X_2075)
<=> mem11(X_2077,X_2076,g_s937_917) )
& ! [X_2078: $int,X_2079: set_0,X_2080: set_0] :
( ( mem11(X_2078,X_2079,X_2075)
& mem11(X_2078,X_2080,X_2075) )
=> ! [X_2081: $int] :
( mem0(X_2081,X_2079)
<=> mem0(X_2081,X_2080) ) )
& ! [X_2082: $int] :
( mem0(X_2082,g_s662_653)
<=> ? [X_2083: set_0] : mem11(X_2082,X_2083,X_2075) )
& ! [X_2084: set_0] :
( ? [X_2085: $int] : mem11(X_2085,X_2084,X_2075)
=> ! [X_2086: $int] :
( mem0(X_2086,X_2084)
=> mem0(X_2086,g_s662_653) ) ) ) ).
tff('Define:lprp:5',axiom,
? [X_2087: set_11] :
( ! [X_2088: set_0,X_2089: $int] :
( mem11(X_2089,X_2088,X_2087)
<=> mem11(X_2089,X_2088,g_s938_918) )
& ! [X_2090: $int,X_2091: set_0,X_2092: set_0] :
( ( mem11(X_2090,X_2091,X_2087)
& mem11(X_2090,X_2092,X_2087) )
=> ! [X_2093: $int] :
( mem0(X_2093,X_2091)
<=> mem0(X_2093,X_2092) ) )
& ! [X_2094: $int] :
( mem0(X_2094,g_s662_653)
<=> ? [X_2095: set_0] : mem11(X_2094,X_2095,X_2087) )
& ! [X_2096: set_0] :
( ? [X_2097: $int] : mem11(X_2097,X_2096,X_2087)
=> ! [X_2098: $int] :
( mem0(X_2098,X_2096)
=> mem0(X_2098,g_s662_653) ) ) ) ).
tff('Define:lprp:6',axiom,
( ! [X_2099: $int,X_2100: $int,X_2101: $int] :
( mem7(X_2101,X_2100,X_2099,g_s939_919)
=> ( mem0(X_2101,g_s662_653)
& mem0(X_2100,g_s339_330)
& mem0(X_2099,g_s450_441) ) )
& ! [X_2102: $int,X_2103: $int,X_2104: $int,X_2105: $int] :
( ( mem7(X_2103,X_2102,X_2104,g_s939_919)
& mem7(X_2103,X_2102,X_2105,g_s939_919) )
=> ( X_2104 = X_2105 ) ) ) ).
tff('Define:lprp:7',axiom,
( ! [X_2106: $int,X_2107: $int,X_2108: $int] :
( mem7(X_2108,X_2107,X_2106,g_s940_920)
=> ( mem0(X_2108,g_s662_653)
& mem0(X_2107,g_s339_330)
& mem0(X_2106,g_s450_441) ) )
& ! [X_2109: $int,X_2110: $int,X_2111: $int,X_2112: $int] :
( ( mem7(X_2110,X_2109,X_2111,g_s940_920)
& mem7(X_2110,X_2109,X_2112,g_s940_920) )
=> ( X_2111 = X_2112 ) ) ) ).
tff('Define:lprp:8',axiom,
( ! [X_2113: set_0,X_2114: $int,X_2115: $int,X_2116: $int] :
( mem12(X_2116,X_2115,X_2114,X_2113,g_s941_921)
=> ( mem0(X_2116,g_s662_653)
& mem0(X_2115,g_s329_320)
& mem0(X_2114,g_s460_451)
& ! [X_2117: $int] :
( mem0(X_2117,X_2113)
=> mem0(X_2117,g_s450_441) ) ) )
& ! [X_2118: $int,X_2119: $int,X_2120: $int,X_2121: set_0,X_2122: set_0] :
( ( mem12(X_2120,X_2119,X_2118,X_2121,g_s941_921)
& mem12(X_2120,X_2119,X_2118,X_2122,g_s941_921) )
=> ! [X_2123: $int] :
( mem0(X_2123,X_2121)
<=> mem0(X_2123,X_2122) ) ) ) ).
tff('Define:lprp:9',axiom,
! [X_2124: $int,X_2125: $int,X_2126: $int] :
( mem7(X_2126,X_2125,X_2124,g_s942_922)
=> ( mem0(X_2126,g_s662_653)
& mem0(X_2125,g_s460_451)
& mem0(X_2124,g_s655_646) ) ) ).
%Global hypotheses
%----Local hypotheses
tff('Local_Hyp:0',hypothesis,
mem7(g_s931_923,g_s945_924,g_s943_925,g_s942_922) ).
tff('Local_Hyp:2',hypothesis,
! [L_s931: $int,L_s943: $int,L_s946: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& ! [X_2391: set_0] :
( mem12(L_s931,L_s943,L_s945,X_2391,g_s941_921)
=> mem0(L_s946,X_2391) ) )
=> ! [X_2392: $int] :
( mem10(L_s931,L_s943,g_s6_6,L_s945,X_2392,g_s935_915)
=> $lesseq(L_s946,X_2392) ) ) ).
tff('Local_Hyp:3',hypothesis,
! [L_s931: $int,L_s943: $int,L_s946: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& ! [X_2426: set_0] :
( mem12(L_s931,L_s943,L_s945,X_2426,g_s941_921)
=> mem0(L_s946,X_2426) ) )
=> ! [X_2427: $int] :
( mem10(L_s931,L_s943,g_s7_7,L_s945,X_2427,g_s935_915)
=> $lesseq(X_2427,L_s946) ) ) ).
tff('Local_Hyp:4',hypothesis,
! [L_s931: $int,L_s943: $int,L_s946: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& ! [X_2460: set_0] :
( mem12(L_s931,L_s943,L_s945,X_2460,g_s941_921)
=> mem0(L_s946,X_2460) ) )
=> ! [X_2461: $int] :
( mem10(L_s931,L_s943,g_s7_7,L_s945,X_2461,g_s936_916)
=> $lesseq(L_s946,X_2461) ) ) ).
tff('Local_Hyp:5',hypothesis,
! [L_s931: $int,L_s943: $int,L_s946: $int,L_s945: $int] :
( ( mem7(L_s931,L_s945,L_s943,g_s942_922)
& ! [X_2494: set_0] :
( mem12(L_s931,L_s943,L_s945,X_2494,g_s941_921)
=> mem0(L_s946,X_2494) ) )
=> ! [X_2495: $int] :
( mem10(L_s931,L_s943,g_s6_6,L_s945,X_2495,g_s936_916)
=> $lesseq(X_2495,L_s946) ) ) ).
%----Goal
tff('Goal',conjecture,
? [X_2544: set_0] : mem12(g_s931_923,g_s943_925,g_s945_924,X_2544,g_s941_921) ).
%------------------------------------------------------------------------------