TPTP Problem File: SWC510_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWC510_1 : TPTP v9.0.0. Released v9.0.0.
% Domain : Software Creation
% Problem : Atelier-B Proof Obligation: PO 1 36 Group s979 Tag s978
% Version : Especial.
% English :
% Refs : [Deh22] Deharbe (2022), Proof Obligations from the B Formal Me
% : [Deh24] Deharbe (2024), Email to Geoff Sutcliffe
% Source : [Deh24]
% Names : 0000-00303-1-36.tptp [Deh24]
% Status : ContradictoryAxioms
% Rating : 0.00 v9.0.0
% Syntax : Number of formulae : 2503 ( 795 unt;1089 typ; 0 def)
% Number of atoms : 4488 ( 943 equ)
% Maximal formula atoms : 76 ( 3 avg)
% Number of connectives : 3395 ( 233 ~; 183 |;1475 &)
% ( 675 <=>; 829 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 623 ( 24 fml; 599 var)
% Number arithmetic : 3458 ( 618 atm; 92 fun; 410 num;2338 var)
% Number of types : 37 ( 34 usr; 2 ari)
% Number of type conns : 187 ( 73 >; 114 *; 0 +; 0 <<)
% Number of predicates : 64 ( 57 usr; 25 prp; 0-11 aty)
% Number of functors : 1097 ( 998 usr;1053 con; 0-2 aty)
% Number of variables : 2926 (2336 !; 590 ?;2926 :)
% SPC : TX0_CAX_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__s821_1_813_type,type,
g__s821_1_813: $int ).
tff(g__s821_2_812_type,type,
g__s821_2_812: $int ).
tff(g__s826_1_815_type,type,
g__s826_1_815: $int ).
tff(g__s826_2_814_type,type,
g__s826_2_814: $int ).
tff(g__s835_1_817_type,type,
g__s835_1_817: $int ).
tff(g__s835_2_816_type,type,
g__s835_2_816: $int ).
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: set_0 ).
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: $int ).
tff(g_s10_10_type,type,
g_s10_10: $int ).
tff(g_s110_110_type,type,
g_s110_110: set_0 ).
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: $int ).
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: set_0 ).
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: $int ).
tff(g_s123_123_type,type,
g_s123_123: set_0 ).
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: $int ).
tff(g_s128_128_type,type,
g_s128_128: $int ).
tff(g_s129_129_type,type,
g_s129_129: set_0 ).
tff(g_s12_12_type,type,
g_s12_12: set_0 ).
tff(g_s130_130_type,type,
g_s130_130: set_0 ).
tff(g_s131_131_type,type,
g_s131_131: set_0 ).
tff(g_s132_132_type,type,
g_s132_132: set_0 ).
tff(g_s133_133_type,type,
g_s133_133: set_0 ).
tff(g_s134_134_type,type,
g_s134_134: $int ).
tff(g_s135_135_type,type,
g_s135_135: $int ).
tff(g_s136_136_type,type,
g_s136_136: $int ).
tff(g_s137_137_type,type,
g_s137_137: $int ).
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: set_0 ).
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: $int ).
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: set_0 ).
tff(g_s16_16_type,type,
g_s16_16: $int ).
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: set_0 ).
tff(g_s177_177_type,type,
g_s177_177: $int ).
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: $int ).
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: set_0 ).
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: set_0 ).
tff(g_s190_190_type,type,
g_s190_190: $int ).
tff(g_s191_191_type,type,
g_s191_191: set_0 ).
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_3 ).
tff(g_s196_196_type,type,
g_s196_196: set_3 ).
tff(g_s197_197_type,type,
g_s197_197: set_0 ).
tff(g_s198_198_type,type,
g_s198_198: set_0 ).
tff(g_s199_199_type,type,
g_s199_199: set_0 ).
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: set_0 ).
tff(g_s201_201_type,type,
g_s201_201: set_0 ).
tff(g_s202_202_type,type,
g_s202_202: set_0 ).
tff(g_s203_203_type,type,
g_s203_203: set_3 ).
tff(g_s204_204_type,type,
g_s204_204: set_0 ).
tff(g_s205_205_type,type,
g_s205_205: set_0 ).
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: $int ).
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: $int ).
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: $int ).
tff(g_s219_219_type,type,
g_s219_219: $int ).
tff(g_s21_21_type,type,
g_s21_21: set_0 ).
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: $int ).
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: $int ).
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: $int ).
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: $int ).
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: $int ).
tff(g_s238_238_type,type,
g_s238_238: set_4 ).
tff(g_s23_23_type,type,
g_s23_23: $int ).
tff(g_s240_239_type,type,
g_s240_239: set_4 ).
tff(g_s241_240_type,type,
g_s241_240: set_4 ).
tff(g_s242_241_type,type,
g_s242_241: set_4 ).
tff(g_s243_242_type,type,
g_s243_242: set_5 ).
tff(g_s246_243_type,type,
g_s246_243: set_5 ).
tff(g_s247_244_type,type,
g_s247_244: set_5 ).
tff(g_s248_245_type,type,
g_s248_245: set_5 ).
tff(g_s249_246_type,type,
g_s249_246: set_5 ).
tff(g_s24_24_type,type,
g_s24_24: $int ).
tff(g_s250_247_type,type,
g_s250_247: set_5 ).
tff(g_s251_248_type,type,
g_s251_248: set_6 ).
tff(g_s254_249_type,type,
g_s254_249: set_6 ).
tff(g_s255_250_type,type,
g_s255_250: set_6 ).
tff(g_s256_251_type,type,
g_s256_251: set_6 ).
tff(g_s257_252_type,type,
g_s257_252: set_6 ).
tff(g_s258_253_type,type,
g_s258_253: set_6 ).
tff(g_s259_254_type,type,
g_s259_254: set_6 ).
tff(g_s25_25_type,type,
g_s25_25: $int ).
tff(g_s260_255_type,type,
g_s260_255: set_6 ).
tff(g_s261_256_type,type,
g_s261_256: set_6 ).
tff(g_s262_257_type,type,
g_s262_257: set_6 ).
tff(g_s263_258_type,type,
g_s263_258: set_6 ).
tff(g_s264_259_type,type,
g_s264_259: set_6 ).
tff(g_s265_260_type,type,
g_s265_260: set_6 ).
tff(g_s266_261_type,type,
g_s266_261: set_6 ).
tff(g_s267_262_type,type,
g_s267_262: set_4 ).
tff(g_s268_263_type,type,
g_s268_263: set_4 ).
tff(g_s269_264_type,type,
g_s269_264: set_4 ).
tff(g_s26_26_type,type,
g_s26_26: set_0 ).
tff(g_s270_265_type,type,
g_s270_265: set_4 ).
tff(g_s271_266_type,type,
g_s271_266: set_4 ).
tff(g_s272_267_type,type,
g_s272_267: set_6 ).
tff(g_s275_268_type,type,
g_s275_268: set_6 ).
tff(g_s276_269_type,type,
g_s276_269: set_2 ).
tff(g_s278_270_type,type,
g_s278_270: set_2 ).
tff(g_s279_271_type,type,
g_s279_271: set_2 ).
tff(g_s27_27_type,type,
g_s27_27: $int ).
tff(g_s281_272_type,type,
g_s281_272: set_4 ).
tff(g_s282_273_type,type,
g_s282_273: $o ).
tff(g_s283_274_type,type,
g_s283_274: $o ).
tff(g_s284_275_type,type,
g_s284_275: $int ).
tff(g_s285_276_type,type,
g_s285_276: $int ).
tff(g_s286_277_type,type,
g_s286_277: $int ).
tff(g_s287_278_type,type,
g_s287_278: $int ).
tff(g_s288_279_type,type,
g_s288_279: $int ).
tff(g_s289_280_type,type,
g_s289_280: $int ).
tff(g_s28_28_type,type,
g_s28_28: $int ).
tff(g_s290_281_type,type,
g_s290_281: $int ).
tff(g_s291_282_type,type,
g_s291_282: $int ).
tff(g_s292_283_type,type,
g_s292_283: $int ).
tff(g_s293_284_type,type,
g_s293_284: $int ).
tff(g_s294_285_type,type,
g_s294_285: $int ).
tff(g_s295_286_type,type,
g_s295_286: $int ).
tff(g_s296_287_type,type,
g_s296_287: $int ).
tff(g_s297_288_type,type,
g_s297_288: $int ).
tff(g_s298_289_type,type,
g_s298_289: $int ).
tff(g_s299_290_type,type,
g_s299_290: $int ).
tff(g_s29_29_type,type,
g_s29_29: $int ).
tff(g_s2_2_type,type,
g_s2_2: $int ).
tff(g_s300_291_type,type,
g_s300_291: $int ).
tff(g_s301_292_type,type,
g_s301_292: $int ).
tff(g_s302_293_type,type,
g_s302_293: $int ).
tff(g_s303_294_type,type,
g_s303_294: $int ).
tff(g_s304_295_type,type,
g_s304_295: $int ).
tff(g_s305_296_type,type,
g_s305_296: $int ).
tff(g_s306_297_type,type,
g_s306_297: $int ).
tff(g_s307_298_type,type,
g_s307_298: $int ).
tff(g_s308_299_type,type,
g_s308_299: $int ).
tff(g_s309_300_type,type,
g_s309_300: $int ).
tff(g_s30_30_type,type,
g_s30_30: $int ).
tff(g_s310_301_type,type,
g_s310_301: $int ).
tff(g_s311_302_type,type,
g_s311_302: $int ).
tff(g_s312_303_type,type,
g_s312_303: $int ).
tff(g_s313_304_type,type,
g_s313_304: $int ).
tff(g_s314_305_type,type,
g_s314_305: $int ).
tff(g_s315_306_type,type,
g_s315_306: $int ).
tff(g_s316_307_type,type,
g_s316_307: $int ).
tff(g_s317_308_type,type,
g_s317_308: $int ).
tff(g_s318_309_type,type,
g_s318_309: $int ).
tff(g_s319_310_type,type,
g_s319_310: $int ).
tff(g_s31_31_type,type,
g_s31_31: $int ).
tff(g_s320_311_type,type,
g_s320_311: $int ).
tff(g_s321_312_type,type,
g_s321_312: $int ).
tff(g_s322_313_type,type,
g_s322_313: $int ).
tff(g_s323_314_type,type,
g_s323_314: $int ).
tff(g_s324_315_type,type,
g_s324_315: $int ).
tff(g_s325_316_type,type,
g_s325_316: $int ).
tff(g_s326_317_type,type,
g_s326_317: $int ).
tff(g_s327_318_type,type,
g_s327_318: $int ).
tff(g_s328_319_type,type,
g_s328_319: $int ).
tff(g_s329_320_type,type,
g_s329_320: $int ).
tff(g_s32_32_type,type,
g_s32_32: set_0 ).
tff(g_s330_321_type,type,
g_s330_321: $int ).
tff(g_s331_322_type,type,
g_s331_322: $int ).
tff(g_s332_323_type,type,
g_s332_323: $int ).
tff(g_s333_324_type,type,
g_s333_324: $int ).
tff(g_s334_325_type,type,
g_s334_325: $int ).
tff(g_s335_326_type,type,
g_s335_326: $int ).
tff(g_s336_327_type,type,
g_s336_327: $int ).
tff(g_s337_328_type,type,
g_s337_328: $int ).
tff(g_s338_329_type,type,
g_s338_329: $int ).
tff(g_s339_330_type,type,
g_s339_330: $int ).
tff(g_s33_33_type,type,
g_s33_33: $int ).
tff(g_s340_331_type,type,
g_s340_331: $int ).
tff(g_s341_332_type,type,
g_s341_332: $int ).
tff(g_s342_333_type,type,
g_s342_333: $int ).
tff(g_s343_334_type,type,
g_s343_334: $int ).
tff(g_s344_335_type,type,
g_s344_335: $int ).
tff(g_s345_336_type,type,
g_s345_336: $int ).
tff(g_s346_337_type,type,
g_s346_337: $int ).
tff(g_s347_338_type,type,
g_s347_338: $int ).
tff(g_s348_339_type,type,
g_s348_339: $int ).
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: set_0 ).
tff(g_s381_372_type,type,
g_s381_372: set_0 ).
tff(g_s382_373_type,type,
g_s382_373: set_0 ).
tff(g_s383_374_type,type,
g_s383_374: set_0 ).
tff(g_s384_375_type,type,
g_s384_375: set_0 ).
tff(g_s385_376_type,type,
g_s385_376: set_0 ).
tff(g_s386_377_type,type,
g_s386_377: set_0 ).
tff(g_s387_378_type,type,
g_s387_378: set_0 ).
tff(g_s388_379_type,type,
g_s388_379: set_0 ).
tff(g_s389_380_type,type,
g_s389_380: set_0 ).
tff(g_s38_38_type,type,
g_s38_38: $int ).
tff(g_s390_381_type,type,
g_s390_381: set_0 ).
tff(g_s391_382_type,type,
g_s391_382: set_0 ).
tff(g_s392_383_type,type,
g_s392_383: set_0 ).
tff(g_s393_384_type,type,
g_s393_384: set_0 ).
tff(g_s394_385_type,type,
g_s394_385: set_0 ).
tff(g_s395_386_type,type,
g_s395_386: set_0 ).
tff(g_s396_387_type,type,
g_s396_387: set_0 ).
tff(g_s397_388_type,type,
g_s397_388: set_0 ).
tff(g_s398_389_type,type,
g_s398_389: set_0 ).
tff(g_s399_390_type,type,
g_s399_390: set_0 ).
tff(g_s39_39_type,type,
g_s39_39: set_0 ).
tff(g_s3_3_type,type,
g_s3_3: $int ).
tff(g_s400_391_type,type,
g_s400_391: set_0 ).
tff(g_s401_392_type,type,
g_s401_392: set_0 ).
tff(g_s402_393_type,type,
g_s402_393: set_0 ).
tff(g_s403_394_type,type,
g_s403_394: set_0 ).
tff(g_s404_395_type,type,
g_s404_395: set_0 ).
tff(g_s405_396_type,type,
g_s405_396: set_0 ).
tff(g_s406_397_type,type,
g_s406_397: set_0 ).
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: set_0 ).
tff(g_s40_40_type,type,
g_s40_40: $int ).
tff(g_s410_401_type,type,
g_s410_401: set_0 ).
tff(g_s411_402_type,type,
g_s411_402: $int ).
tff(g_s412_403_type,type,
g_s412_403: set_0 ).
tff(g_s413_404_type,type,
g_s413_404: set_0 ).
tff(g_s414_405_type,type,
g_s414_405: set_0 ).
tff(g_s415_406_type,type,
g_s415_406: set_0 ).
tff(g_s416_407_type,type,
g_s416_407: $int ).
tff(g_s417_408_type,type,
g_s417_408: set_0 ).
tff(g_s418_409_type,type,
g_s418_409: set_0 ).
tff(g_s419_410_type,type,
g_s419_410: set_0 ).
tff(g_s41_41_type,type,
g_s41_41: $int ).
tff(g_s420_411_type,type,
g_s420_411: set_3 ).
tff(g_s421_412_type,type,
g_s421_412: set_3 ).
tff(g_s422_413_type,type,
g_s422_413: set_0 ).
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: $int ).
tff(g_s446_437_type,type,
g_s446_437: $int ).
tff(g_s447_438_type,type,
g_s447_438: $int ).
tff(g_s448_439_type,type,
g_s448_439: $int ).
tff(g_s449_440_type,type,
g_s449_440: $int ).
tff(g_s44_44_type,type,
g_s44_44: $int ).
tff(g_s450_441_type,type,
g_s450_441: $int ).
tff(g_s451_442_type,type,
g_s451_442: $int ).
tff(g_s452_443_type,type,
g_s452_443: $int ).
tff(g_s453_444_type,type,
g_s453_444: $int ).
tff(g_s454_445_type,type,
g_s454_445: $int ).
tff(g_s455_446_type,type,
g_s455_446: $int ).
tff(g_s456_447_type,type,
g_s456_447: $int ).
tff(g_s457_448_type,type,
g_s457_448: $int ).
tff(g_s458_449_type,type,
g_s458_449: $int ).
tff(g_s459_450_type,type,
g_s459_450: $int ).
tff(g_s45_45_type,type,
g_s45_45: $int ).
tff(g_s460_451_type,type,
g_s460_451: $int ).
tff(g_s461_452_type,type,
g_s461_452: set_0 ).
tff(g_s462_453_type,type,
g_s462_453: $int ).
tff(g_s463_454_type,type,
g_s463_454: $int ).
tff(g_s464_455_type,type,
g_s464_455: $int ).
tff(g_s465_456_type,type,
g_s465_456: $int ).
tff(g_s466_457_type,type,
g_s466_457: $int ).
tff(g_s467_458_type,type,
g_s467_458: $int ).
tff(g_s468_459_type,type,
g_s468_459: $int ).
tff(g_s469_460_type,type,
g_s469_460: $int ).
tff(g_s46_46_type,type,
g_s46_46: $int ).
tff(g_s470_461_type,type,
g_s470_461: $int ).
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: $int ).
tff(g_s474_465_type,type,
g_s474_465: $int ).
tff(g_s475_466_type,type,
g_s475_466: $int ).
tff(g_s476_467_type,type,
g_s476_467: $int ).
tff(g_s477_468_type,type,
g_s477_468: $int ).
tff(g_s478_469_type,type,
g_s478_469: $int ).
tff(g_s479_470_type,type,
g_s479_470: $int ).
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: $int ).
tff(g_s482_473_type,type,
g_s482_473: $int ).
tff(g_s483_474_type,type,
g_s483_474: $int ).
tff(g_s484_475_type,type,
g_s484_475: $int ).
tff(g_s485_476_type,type,
g_s485_476: $int ).
tff(g_s486_477_type,type,
g_s486_477: $int ).
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: $int ).
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: $int ).
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: set_0 ).
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: set_0 ).
tff(g_s586_577_type,type,
g_s586_577: set_0 ).
tff(g_s587_578_type,type,
g_s587_578: set_0 ).
tff(g_s588_579_type,type,
g_s588_579: set_0 ).
tff(g_s589_580_type,type,
g_s589_580: set_0 ).
tff(g_s58_58_type,type,
g_s58_58: $int ).
tff(g_s590_581_type,type,
g_s590_581: set_0 ).
tff(g_s591_582_type,type,
g_s591_582: set_0 ).
tff(g_s592_583_type,type,
g_s592_583: set_0 ).
tff(g_s593_584_type,type,
g_s593_584: set_0 ).
tff(g_s594_585_type,type,
g_s594_585: $int ).
tff(g_s595_586_type,type,
g_s595_586: set_0 ).
tff(g_s596_587_type,type,
g_s596_587: set_0 ).
tff(g_s597_588_type,type,
g_s597_588: set_0 ).
tff(g_s598_589_type,type,
g_s598_589: set_0 ).
tff(g_s599_590_type,type,
g_s599_590: set_0 ).
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: set_0 ).
tff(g_s601_592_type,type,
g_s601_592: set_0 ).
tff(g_s602_593_type,type,
g_s602_593: set_0 ).
tff(g_s603_594_type,type,
g_s603_594: set_0 ).
tff(g_s604_595_type,type,
g_s604_595: set_0 ).
tff(g_s605_596_type,type,
g_s605_596: set_0 ).
tff(g_s606_597_type,type,
g_s606_597: set_0 ).
tff(g_s607_598_type,type,
g_s607_598: set_0 ).
tff(g_s608_599_type,type,
g_s608_599: set_0 ).
tff(g_s609_600_type,type,
g_s609_600: set_0 ).
tff(g_s60_60_type,type,
g_s60_60: $int ).
tff(g_s610_601_type,type,
g_s610_601: set_0 ).
tff(g_s611_602_type,type,
g_s611_602: set_0 ).
tff(g_s612_603_type,type,
g_s612_603: set_0 ).
tff(g_s613_604_type,type,
g_s613_604: set_0 ).
tff(g_s614_605_type,type,
g_s614_605: set_0 ).
tff(g_s615_606_type,type,
g_s615_606: set_0 ).
tff(g_s616_607_type,type,
g_s616_607: set_0 ).
tff(g_s617_608_type,type,
g_s617_608: set_0 ).
tff(g_s618_609_type,type,
g_s618_609: set_0 ).
tff(g_s619_610_type,type,
g_s619_610: set_0 ).
tff(g_s61_61_type,type,
g_s61_61: $int ).
tff(g_s620_611_type,type,
g_s620_611: set_0 ).
tff(g_s621_612_type,type,
g_s621_612: set_0 ).
tff(g_s622_613_type,type,
g_s622_613: set_0 ).
tff(g_s623_614_type,type,
g_s623_614: set_0 ).
tff(g_s624_615_type,type,
g_s624_615: set_0 ).
tff(g_s625_616_type,type,
g_s625_616: set_0 ).
tff(g_s626_617_type,type,
g_s626_617: set_0 ).
tff(g_s627_618_type,type,
g_s627_618: set_0 ).
tff(g_s628_619_type,type,
g_s628_619: set_0 ).
tff(g_s629_620_type,type,
g_s629_620: set_0 ).
tff(g_s62_62_type,type,
g_s62_62: $int ).
tff(g_s630_621_type,type,
g_s630_621: set_0 ).
tff(g_s631_622_type,type,
g_s631_622: set_0 ).
tff(g_s632_623_type,type,
g_s632_623: set_0 ).
tff(g_s633_624_type,type,
g_s633_624: set_0 ).
tff(g_s634_625_type,type,
g_s634_625: set_0 ).
tff(g_s635_626_type,type,
g_s635_626: set_0 ).
tff(g_s636_627_type,type,
g_s636_627: set_0 ).
tff(g_s637_628_type,type,
g_s637_628: set_0 ).
tff(g_s638_629_type,type,
g_s638_629: set_0 ).
tff(g_s639_630_type,type,
g_s639_630: set_0 ).
tff(g_s63_63_type,type,
g_s63_63: $int ).
tff(g_s640_631_type,type,
g_s640_631: set_0 ).
tff(g_s641_632_type,type,
g_s641_632: set_0 ).
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: $int ).
tff(g_s64_64_type,type,
g_s64_64: $int ).
tff(g_s650_641_type,type,
g_s650_641: $int ).
tff(g_s651_642_type,type,
g_s651_642: $int ).
tff(g_s652_643_type,type,
g_s652_643: $int ).
tff(g_s653_644_type,type,
g_s653_644: $int ).
tff(g_s654_645_type,type,
g_s654_645: $int ).
tff(g_s655_646_type,type,
g_s655_646: $int ).
tff(g_s656_647_type,type,
g_s656_647: $int ).
tff(g_s657_648_type,type,
g_s657_648: $int ).
tff(g_s658_649_type,type,
g_s658_649: $int ).
tff(g_s659_650_type,type,
g_s659_650: $int ).
tff(g_s65_65_type,type,
g_s65_65: $int ).
tff(g_s660_651_type,type,
g_s660_651: $int ).
tff(g_s661_652_type,type,
g_s661_652: $int ).
tff(g_s662_653_type,type,
g_s662_653: $int ).
tff(g_s663_654_type,type,
g_s663_654: $int ).
tff(g_s664_655_type,type,
g_s664_655: $int ).
tff(g_s665_656_type,type,
g_s665_656: $int ).
tff(g_s666_657_type,type,
g_s666_657: $int ).
tff(g_s667_658_type,type,
g_s667_658: $int ).
tff(g_s668_659_type,type,
g_s668_659: $int ).
tff(g_s669_660_type,type,
g_s669_660: $int ).
tff(g_s66_66_type,type,
g_s66_66: $int ).
tff(g_s670_661_type,type,
g_s670_661: $int ).
tff(g_s671_662_type,type,
g_s671_662: $int ).
tff(g_s672_663_type,type,
g_s672_663: $int ).
tff(g_s673_664_type,type,
g_s673_664: $int ).
tff(g_s674_665_type,type,
g_s674_665: $int ).
tff(g_s675_666_type,type,
g_s675_666: $int ).
tff(g_s676_667_type,type,
g_s676_667: $int ).
tff(g_s677_668_type,type,
g_s677_668: $int ).
tff(g_s678_669_type,type,
g_s678_669: $int ).
tff(g_s679_670_type,type,
g_s679_670: $int ).
tff(g_s67_67_type,type,
g_s67_67: $int ).
tff(g_s680_671_type,type,
g_s680_671: $int ).
tff(g_s681_672_type,type,
g_s681_672: $int ).
tff(g_s682_673_type,type,
g_s682_673: $int ).
tff(g_s683_674_type,type,
g_s683_674: $int ).
tff(g_s684_675_type,type,
g_s684_675: $int ).
tff(g_s685_676_type,type,
g_s685_676: $int ).
tff(g_s686_677_type,type,
g_s686_677: $int ).
tff(g_s687_678_type,type,
g_s687_678: $int ).
tff(g_s688_679_type,type,
g_s688_679: $int ).
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: $int ).
tff(g_s691_682_type,type,
g_s691_682: set_0 ).
tff(g_s692_683_type,type,
g_s692_683: $int ).
tff(g_s693_684_type,type,
g_s693_684: $int ).
tff(g_s694_685_type,type,
g_s694_685: set_0 ).
tff(g_s695_686_type,type,
g_s695_686: $int ).
tff(g_s696_687_type,type,
g_s696_687: set_0 ).
tff(g_s697_688_type,type,
g_s697_688: $int ).
tff(g_s698_689_type,type,
g_s698_689: $int ).
tff(g_s699_690_type,type,
g_s699_690: $int ).
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: set_0 ).
tff(g_s703_694_type,type,
g_s703_694: $int ).
tff(g_s704_695_type,type,
g_s704_695: set_0 ).
tff(g_s705_696_type,type,
g_s705_696: set_0 ).
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: set_0 ).
tff(g_s709_700_type,type,
g_s709_700: set_0 ).
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: set_0 ).
tff(g_s712_703_type,type,
g_s712_703: set_0 ).
tff(g_s713_704_type,type,
g_s713_704: set_0 ).
tff(g_s714_705_type,type,
g_s714_705: set_0 ).
tff(g_s715_706_type,type,
g_s715_706: set_0 ).
tff(g_s716_707_type,type,
g_s716_707: $int ).
tff(g_s717_708_type,type,
g_s717_708: set_0 ).
tff(g_s718_709_type,type,
g_s718_709: $int ).
tff(g_s719_710_type,type,
g_s719_710: set_0 ).
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: set_0 ).
tff(g_s722_713_type,type,
g_s722_713: $int ).
tff(g_s723_714_type,type,
g_s723_714: set_0 ).
tff(g_s724_715_type,type,
g_s724_715: set_0 ).
tff(g_s725_716_type,type,
g_s725_716: set_0 ).
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: set_0 ).
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: $int ).
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: $int ).
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: $int ).
tff(g_s755_746_type,type,
g_s755_746: $int ).
tff(g_s756_747_type,type,
g_s756_747: $int ).
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: $int ).
tff(g_s761_752_type,type,
g_s761_752: $int ).
tff(g_s762_753_type,type,
g_s762_753: $int ).
tff(g_s763_754_type,type,
g_s763_754: $int ).
tff(g_s764_755_type,type,
g_s764_755: $int ).
tff(g_s765_756_type,type,
g_s765_756: $int ).
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: $int ).
tff(g_s769_760_type,type,
g_s769_760: $int ).
tff(g_s76_76_type,type,
g_s76_76: $int ).
tff(g_s770_761_type,type,
g_s770_761: $int ).
tff(g_s771_762_type,type,
g_s771_762: $int ).
tff(g_s772_763_type,type,
g_s772_763: $int ).
tff(g_s773_764_type,type,
g_s773_764: $int ).
tff(g_s774_765_type,type,
g_s774_765: $int ).
tff(g_s775_766_type,type,
g_s775_766: $int ).
tff(g_s776_767_type,type,
g_s776_767: $int ).
tff(g_s777_768_type,type,
g_s777_768: $int ).
tff(g_s778_769_type,type,
g_s778_769: $int ).
tff(g_s779_770_type,type,
g_s779_770: $int ).
tff(g_s77_77_type,type,
g_s77_77: $int ).
tff(g_s780_771_type,type,
g_s780_771: set_2 ).
tff(g_s781_772_type,type,
g_s781_772: set_7 ).
tff(g_s782_773_type,type,
g_s782_773: set_7 ).
tff(g_s783_774_type,type,
g_s783_774: set_7 ).
tff(g_s784_775_type,type,
g_s784_775: set_2 ).
tff(g_s785_776_type,type,
g_s785_776: set_2 ).
tff(g_s786_777_type,type,
g_s786_777: set_2 ).
tff(g_s787_778_type,type,
g_s787_778: set_2 ).
tff(g_s788_779_type,type,
g_s788_779: set_2 ).
tff(g_s789_780_type,type,
g_s789_780: set_2 ).
tff(g_s78_78_type,type,
g_s78_78: $int ).
tff(g_s790_781_type,type,
g_s790_781: set_2 ).
tff(g_s791_782_type,type,
g_s791_782: set_2 ).
tff(g_s792_783_type,type,
g_s792_783: set_2 ).
tff(g_s793_784_type,type,
g_s793_784: set_2 ).
tff(g_s794_785_type,type,
g_s794_785: set_2 ).
tff(g_s795_786_type,type,
g_s795_786: set_2 ).
tff(g_s796_787_type,type,
g_s796_787: set_2 ).
tff(g_s797_788_type,type,
g_s797_788: set_2 ).
tff(g_s798_789_type,type,
g_s798_789: set_2 ).
tff(g_s799_790_type,type,
g_s799_790: set_2 ).
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: set_2 ).
tff(g_s801_792_type,type,
g_s801_792: set_2 ).
tff(g_s802_793_type,type,
g_s802_793: set_2 ).
tff(g_s803_794_type,type,
g_s803_794: set_2 ).
tff(g_s804_795_type,type,
g_s804_795: set_2 ).
tff(g_s805_796_type,type,
g_s805_796: set_2 ).
tff(g_s806_797_type,type,
g_s806_797: set_2 ).
tff(g_s807_798_type,type,
g_s807_798: set_2 ).
tff(g_s808_799_type,type,
g_s808_799: set_2 ).
tff(g_s809_800_type,type,
g_s809_800: set_2 ).
tff(g_s80_80_type,type,
g_s80_80: $int ).
tff(g_s810_801_type,type,
g_s810_801: set_2 ).
tff(g_s811_802_type,type,
g_s811_802: set_8 ).
tff(g_s812_803_type,type,
g_s812_803: set_8 ).
tff(g_s813_804_type,type,
g_s813_804: set_2 ).
tff(g_s814_805_type,type,
g_s814_805: set_2 ).
tff(g_s815_806_type,type,
g_s815_806: set_2 ).
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: set_2 ).
tff(g_s819_810_type,type,
g_s819_810: set_2 ).
tff(g_s81_81_type,type,
g_s81_81: $int ).
tff(g_s820_811_type,type,
g_s820_811: set_2 ).
tff(g_s82_82_type,type,
g_s82_82: $int ).
tff(g_s836_818_type,type,
g_s836_818: set_0 ).
tff(g_s837_819_type,type,
g_s837_819: set_9 ).
tff(g_s838_820_type,type,
g_s838_820: set_10 ).
tff(g_s839_821_type,type,
g_s839_821: set_6 ).
tff(g_s83_83_type,type,
g_s83_83: $int ).
tff(g_s840_822_type,type,
g_s840_822: set_11 ).
tff(g_s84_84_type,type,
g_s84_84: $int ).
tff(g_s850_823_type,type,
g_s850_823: set_2 ).
tff(g_s851_824_type,type,
g_s851_824: set_7 ).
tff(g_s852_825_type,type,
g_s852_825: set_7 ).
tff(g_s853_826_type,type,
g_s853_826: set_7 ).
tff(g_s854_827_type,type,
g_s854_827: set_7 ).
tff(g_s855_828_type,type,
g_s855_828: set_2 ).
tff(g_s856_829_type,type,
g_s856_829: set_2 ).
tff(g_s857_830_type,type,
g_s857_830: set_2 ).
tff(g_s858_831_type,type,
g_s858_831: set_2 ).
tff(g_s859_832_type,type,
g_s859_832: set_2 ).
tff(g_s85_85_type,type,
g_s85_85: $int ).
tff(g_s860_833_type,type,
g_s860_833: set_2 ).
tff(g_s861_834_type,type,
g_s861_834: set_2 ).
tff(g_s862_835_type,type,
g_s862_835: set_2 ).
tff(g_s863_836_type,type,
g_s863_836: set_2 ).
tff(g_s864_837_type,type,
g_s864_837: set_2 ).
tff(g_s865_838_type,type,
g_s865_838: set_2 ).
tff(g_s866_839_type,type,
g_s866_839: set_2 ).
tff(g_s867_840_type,type,
g_s867_840: set_2 ).
tff(g_s868_841_type,type,
g_s868_841: set_2 ).
tff(g_s869_842_type,type,
g_s869_842: set_2 ).
tff(g_s86_86_type,type,
g_s86_86: $int ).
tff(g_s870_843_type,type,
g_s870_843: set_2 ).
tff(g_s871_844_type,type,
g_s871_844: set_2 ).
tff(g_s872_845_type,type,
g_s872_845: set_2 ).
tff(g_s873_846_type,type,
g_s873_846: set_2 ).
tff(g_s874_847_type,type,
g_s874_847: set_2 ).
tff(g_s875_848_type,type,
g_s875_848: set_2 ).
tff(g_s876_849_type,type,
g_s876_849: set_2 ).
tff(g_s877_850_type,type,
g_s877_850: set_0 ).
tff(g_s878_851_type,type,
g_s878_851: set_2 ).
tff(g_s879_852_type,type,
g_s879_852: set_0 ).
tff(g_s87_87_type,type,
g_s87_87: $int ).
tff(g_s880_853_type,type,
g_s880_853: set_2 ).
tff(g_s881_854_type,type,
g_s881_854: set_2 ).
tff(g_s882_855_type,type,
g_s882_855: set_2 ).
tff(g_s883_856_type,type,
g_s883_856: set_2 ).
tff(g_s884_857_type,type,
g_s884_857: set_12 ).
tff(g_s885_858_type,type,
g_s885_858: set_12 ).
tff(g_s886_859_type,type,
g_s886_859: set_13 ).
tff(g_s887_860_type,type,
g_s887_860: set_13 ).
tff(g_s888_861_type,type,
g_s888_861: set_13 ).
tff(g_s88_88_type,type,
g_s88_88: $int ).
tff(g_s897_862_type,type,
g_s897_862: set_2 ).
tff(g_s898_863_type,type,
g_s898_863: set_2 ).
tff(g_s899_864_type,type,
g_s899_864: 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_865_type,type,
g_s900_865: set_2 ).
tff(g_s901_866_type,type,
g_s901_866: set_2 ).
tff(g_s902_867_type,type,
g_s902_867: set_2 ).
tff(g_s903_868_type,type,
g_s903_868: set_2 ).
tff(g_s904_869_type,type,
g_s904_869: set_2 ).
tff(g_s905_870_type,type,
g_s905_870: set_0 ).
tff(g_s906_871_type,type,
g_s906_871: set_2 ).
tff(g_s907_872_type,type,
g_s907_872: set_0 ).
tff(g_s908_873_type,type,
g_s908_873: set_2 ).
tff(g_s909_874_type,type,
g_s909_874: set_0 ).
tff(g_s90_90_type,type,
g_s90_90: $int ).
tff(g_s910_875_type,type,
g_s910_875: set_2 ).
tff(g_s911_876_type,type,
g_s911_876: set_0 ).
tff(g_s912_877_type,type,
g_s912_877: set_2 ).
tff(g_s913_878_type,type,
g_s913_878: set_0 ).
tff(g_s914_879_type,type,
g_s914_879: set_2 ).
tff(g_s915_880_type,type,
g_s915_880: set_0 ).
tff(g_s916_881_type,type,
g_s916_881: set_2 ).
tff(g_s917_882_type,type,
g_s917_882: set_0 ).
tff(g_s918_883_type,type,
g_s918_883: $int ).
tff(g_s919_884_type,type,
g_s919_884: $int ).
tff(g_s91_91_type,type,
g_s91_91: $int ).
tff(g_s920_885_type,type,
g_s920_885: $int ).
tff(g_s921_886_type,type,
g_s921_886: $int ).
tff(g_s922_887_type,type,
g_s922_887: $int ).
tff(g_s923_888_type,type,
g_s923_888: $int ).
tff(g_s924_889_type,type,
g_s924_889: $o ).
tff(g_s925_890_type,type,
g_s925_890: $o ).
tff(g_s926_891_type,type,
g_s926_891: $o ).
tff(g_s927_892_type,type,
g_s927_892: $o ).
tff(g_s928_893_type,type,
g_s928_893: $o ).
tff(g_s929_894_type,type,
g_s929_894: $o ).
tff(g_s92_92_type,type,
g_s92_92: $int ).
tff(g_s930_895_type,type,
g_s930_895: $int ).
tff(g_s931_896_type,type,
g_s931_896: $int ).
tff(g_s932_898_type,type,
g_s932_898: $int ).
tff(g_s933_897_type,type,
g_s933_897: set_0 ).
tff(g_s934_899_type,type,
g_s934_899: $int ).
tff(g_s935_900_type,type,
g_s935_900: $int ).
tff(g_s936_901_type,type,
g_s936_901: $o ).
tff(g_s937_902_type,type,
g_s937_902: $o ).
tff(g_s938_903_type,type,
g_s938_903: $o ).
tff(g_s939_904_type,type,
g_s939_904: $int ).
tff(g_s93_93_type,type,
g_s93_93: $int ).
tff(g_s940_905_type,type,
g_s940_905: $int ).
tff(g_s941_906_type,type,
g_s941_906: $o ).
tff(g_s942_907_type,type,
g_s942_907: $o ).
tff(g_s943_908_type,type,
g_s943_908: $o ).
tff(g_s944_909_type,type,
g_s944_909: $int ).
tff(g_s945_910_type,type,
g_s945_910: $int ).
tff(g_s946_911_type,type,
g_s946_911: $int ).
tff(g_s947_912_type,type,
g_s947_912: $o ).
tff(g_s948_913_type,type,
g_s948_913: $int ).
tff(g_s949_914_type,type,
g_s949_914: $int ).
tff(g_s94_94_type,type,
g_s94_94: $int ).
tff(g_s950_915_type,type,
g_s950_915: $int ).
tff(g_s951_916_type,type,
g_s951_916: $int ).
tff(g_s952_917_type,type,
g_s952_917: $int ).
tff(g_s953_918_type,type,
g_s953_918: $int ).
tff(g_s954_919_type,type,
g_s954_919: $int ).
tff(g_s955_920_type,type,
g_s955_920: $o ).
tff(g_s956_921_type,type,
g_s956_921: $o ).
tff(g_s957_922_type,type,
g_s957_922: $int ).
tff(g_s958_923_type,type,
g_s958_923: $o ).
tff(g_s959_924_type,type,
g_s959_924: $o ).
tff(g_s95_95_type,type,
g_s95_95: $int ).
tff(g_s960_925_type,type,
g_s960_925: $int ).
tff(g_s961_926_type,type,
g_s961_926: $int ).
tff(g_s962_927_type,type,
g_s962_927: $int ).
tff(g_s963_928_type,type,
g_s963_928: $int ).
tff(g_s964_929_type,type,
g_s964_929: $int ).
tff(g_s965_930_type,type,
g_s965_930: $int ).
tff(g_s966_931_type,type,
g_s966_931: $int ).
tff(g_s967_932_type,type,
g_s967_932: $int ).
tff(g_s968_933_type,type,
g_s968_933: $o ).
tff(g_s969_1_934_type,type,
g_s969_1_934: $int ).
tff(g_s96_96_type,type,
g_s96_96: $int ).
tff(g_s970_1_935_type,type,
g_s970_1_935: $int ).
tff(g_s971_1_936_type,type,
g_s971_1_936: $int ).
tff(g_s972_1_937_type,type,
g_s972_1_937: $int ).
tff(g_s973_1_938_type,type,
g_s973_1_938: $int ).
tff(g_s974_1_939_type,type,
g_s974_1_939: $int ).
tff(g_s975_1_940_type,type,
g_s975_1_940: $int ).
tff(g_s976_1_941_type,type,
g_s976_1_941: $o ).
tff(g_s97_97_type,type,
g_s97_97: $int ).
tff(g_s981_942_type,type,
g_s981_942: $o ).
tff(g_s982_943_type,type,
g_s982_943: $int ).
tff(g_s983_944_type,type,
g_s983_944: $int ).
tff(g_s984_945_type,type,
g_s984_945: $int ).
tff(g_s985_946_type,type,
g_s985_946: $int ).
tff(g_s986_947_type,type,
g_s986_947: $o ).
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 * $o * $int * $o * $int * $int * $o * set_10 ) > $o ).
tff(mem11_type,type,
mem11: ( $int * $int * $int * $o * $int * $o * $int * $int * $o * $int * set_11 ) > $o ).
tff(mem12_type,type,
mem12: ( $int * $int * set_2 * set_12 ) > $o ).
tff(mem13_type,type,
mem13: ( $int * set_2 * set_13 ) > $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_0 * set_8 ) > $o ).
tff(mem9_type,type,
mem9: ( $int * $int * $o * $int * $o * $int * $int * $o * 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_3 * $int ) > prod_10 ).
tff(prod_10_in,type,
prod_10_in: ( prod_3 * $int * prod_10 ) > $o ).
tff(prod_11_type,type,
prod_11: $tType ).
tff(prod_11_empty,type,
prod_11_empty: prod_11 ).
tff(prod_11_insert,type,
prod_11: ( prod_12 * $o ) > prod_11 ).
tff(prod_11_in,type,
prod_11_in: ( prod_12 * $o * prod_11 ) > $o ).
tff(prod_12_type,type,
prod_12: $tType ).
tff(prod_12_empty,type,
prod_12_empty: prod_12 ).
tff(prod_12_insert,type,
prod_12: ( prod_13 * $int ) > prod_12 ).
tff(prod_12_in,type,
prod_12_in: ( prod_13 * $int * prod_12 ) > $o ).
tff(prod_13_type,type,
prod_13: $tType ).
tff(prod_13_empty,type,
prod_13_empty: prod_13 ).
tff(prod_13_insert,type,
prod_13: ( prod_14 * $int ) > prod_13 ).
tff(prod_13_in,type,
prod_13_in: ( prod_14 * $int * prod_13 ) > $o ).
tff(prod_14_type,type,
prod_14: $tType ).
tff(prod_14_empty,type,
prod_14_empty: prod_14 ).
tff(prod_14_insert,type,
prod_14: ( prod_15 * $o ) > prod_14 ).
tff(prod_14_in,type,
prod_14_in: ( prod_15 * $o * prod_14 ) > $o ).
tff(prod_15_type,type,
prod_15: $tType ).
tff(prod_15_empty,type,
prod_15_empty: prod_15 ).
tff(prod_15_insert,type,
prod_15: ( prod_16 * $int ) > prod_15 ).
tff(prod_15_in,type,
prod_15_in: ( prod_16 * $int * prod_15 ) > $o ).
tff(prod_16_type,type,
prod_16: $tType ).
tff(prod_16_empty,type,
prod_16_empty: prod_16 ).
tff(prod_16_insert,type,
prod_16: ( prod_4 * $o ) > prod_16 ).
tff(prod_16_in,type,
prod_16_in: ( prod_4 * $o * prod_16 ) > $o ).
tff(prod_17_type,type,
prod_17: $tType ).
tff(prod_17_empty,type,
prod_17_empty: prod_17 ).
tff(prod_17_insert,type,
prod_17: ( prod_11 * $int ) > prod_17 ).
tff(prod_17_in,type,
prod_17_in: ( prod_11 * $int * prod_17 ) > $o ).
tff(prod_18_type,type,
prod_18: $tType ).
tff(prod_18_empty,type,
prod_18_empty: prod_18 ).
tff(prod_18_insert,type,
prod_18: ( prod_0 * set_2 ) > prod_18 ).
tff(prod_18_in,type,
prod_18_in: ( prod_0 * set_2 * prod_18 ) > $o ).
tff(prod_19_type,type,
prod_19: $tType ).
tff(prod_19_empty,type,
prod_19_empty: prod_19 ).
tff(prod_19_insert,type,
prod_19: ( $int * set_2 ) > prod_19 ).
tff(prod_19_in,type,
prod_19_in: ( $int * set_2 * prod_19 ) > $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_0 ) > prod_5 ).
tff(prod_5_in,type,
prod_5_in: ( prod_0 * set_0 * 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: ( prod_7 * $o ) > prod_6 ).
tff(prod_6_in,type,
prod_6_in: ( prod_7 * $o * 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_9 * $int ) > prod_8 ).
tff(prod_8_in,type,
prod_8_in: ( prod_9 * $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: ( prod_10 * $o ) > prod_9 ).
tff(prod_9_in,type,
prod_9_in: ( prod_10 * $o * 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_11 > 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_17 > 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_18 > set_12 ).
tff(set_13_type,type,
set_13: $tType ).
tff(set_13_empty,type,
set_13_empty: set_13 ).
tff(set_13_insert,type,
set_13: prod_19 > set_13 ).
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:abs:0',axiom,
mem0(g_s961_926,g_s389_380) ).
tff('Define:abs:1',axiom,
mem0(g_s962_927,g_s715_706) ).
tff('Define:abs:10',axiom,
mem0(g_s963_928,g_s599_590) ).
tff('Define:abs:11',axiom,
mem0(g_s964_929,g_s389_380) ).
tff('Define:abs:12',axiom,
mem0(g_s965_930,g_s599_590) ).
tff('Define:abs:13',axiom,
mem0(g_s966_931,g_s389_380) ).
tff('Define:abs:14',axiom,
mem0(g_s967_932,g_s715_706) ).
tff('Define:abs:15',axiom,
mem3(g_s968_933,g_s420_411) ).
tff('Define:abs:2',axiom,
mem0(g_s963_928,g_s599_590) ).
tff('Define:abs:3',axiom,
mem0(g_s964_929,g_s389_380) ).
tff('Define:abs:4',axiom,
mem0(g_s965_930,g_s599_590) ).
tff('Define:abs:5',axiom,
mem0(g_s966_931,g_s389_380) ).
tff('Define:abs:6',axiom,
mem0(g_s967_932,g_s715_706) ).
tff('Define:abs:7',axiom,
mem3(g_s968_933,g_s420_411) ).
tff('Define:abs:8',axiom,
mem0(g_s961_926,g_s389_380) ).
tff('Define:abs:9',axiom,
mem0(g_s962_927,g_s715_706) ).
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_333: $o,X_334: $int,X_335: $int] :
( mem6(X_335,X_334,(X_333),g_s256_251)
<=> mem6(X_335,X_334,(X_333),g_s251_248) ) ).
tff('Define:ctx:1000',axiom,
! [X_1093: $int] :
( mem0(X_1093,g_s724_715)
=> ( $greatereq(X_1093,0)
& $lesseq(X_1093,max_int) ) ) ).
tff('Define:ctx:1001',axiom,
~ ! [X_1094: $int] :
( mem0(X_1094,g_s724_715)
<=> $false ) ).
tff('Define:ctx:1002',axiom,
! [X_1095: $int] :
( ( X_1095 = 0 )
=> mem0(X_1095,g_s724_715) ) ).
tff('Define:ctx:1003',axiom,
! [X_1096: $int] :
( mem0(X_1096,g_s724_715)
<=> ! [X_1097: $int,X_1098: $int] :
( ( mem0(X_1097,g_s724_715)
& ! [X_1099: $int] :
( mem0(X_1099,g_s724_715)
=> $lesseq(X_1097,X_1099) )
& mem0(X_1098,g_s724_715)
& ! [X_1100: $int] :
( mem0(X_1100,g_s724_715)
=> $greatereq(X_1098,X_1100) ) )
=> ( $greatereq(X_1096,X_1097)
& $lesseq(X_1096,X_1098) ) ) ) ).
tff('Define:ctx:1004',axiom,
! [X_1101: $int] :
( mem0(X_1101,g_s725_716)
=> ( $greatereq(X_1101,0)
& $lesseq(X_1101,max_int) ) ) ).
tff('Define:ctx:1005',axiom,
~ ! [X_1102: $int] :
( mem0(X_1102,g_s725_716)
<=> $false ) ).
tff('Define:ctx:1006',axiom,
! [X_1103: $int] :
( mem0(X_1103,g_s725_716)
<=> ! [X_1104: $int,X_1105: $int] :
( ( mem0(X_1104,g_s725_716)
& ! [X_1106: $int] :
( mem0(X_1106,g_s725_716)
=> $lesseq(X_1104,X_1106) )
& mem0(X_1105,g_s725_716)
& ! [X_1107: $int] :
( mem0(X_1107,g_s725_716)
=> $greatereq(X_1105,X_1107) ) )
=> ( $greatereq(X_1103,X_1104)
& $lesseq(X_1103,X_1105) ) ) ) ).
tff('Define:ctx:1007',axiom,
mem0(g_s726_717,g_s392_383) ).
tff('Define:ctx:1008',axiom,
g_s726_717 = g_s287_278 ).
tff('Define:ctx:1009',axiom,
mem0(g_s727_718,g_s392_383) ).
tff('Define:ctx:101',axiom,
? [X_336: set_6] :
( ! [X_337: $o,X_338: $int,X_339: $int] :
( mem6(X_339,X_338,(X_337),X_336)
<=> mem6(X_339,X_338,(X_337),g_s257_252) )
& ! [X_340: $int,X_341: $int,X_342: $o,X_343: $o] :
( ( mem6(X_341,X_340,(X_342),X_336)
& mem6(X_341,X_340,(X_343),X_336) )
=> ( (X_342)
<=> (X_343) ) )
& ! [X_344: $int,X_345: $int] :
( ( mem0(X_345,g_s197_197)
& mem0(X_344,g_s197_197) )
<=> ? [X_346: $o] : mem6(X_345,X_344,(X_346),X_336) )
& ! [X_347: $o] :
( ? [X_348: $int,X_349: $int] : mem6(X_349,X_348,(X_347),X_336)
=> $true ) ) ).
tff('Define:ctx:1010',axiom,
( mem0(g_s727_718,g_s392_383)
& ! [X_1108: $int] :
( mem0(X_1108,g_s392_383)
=> $greatereq(g_s727_718,X_1108) ) ) ).
tff('Define:ctx:1011',axiom,
mem0(g_s728_719,g_s392_383) ).
tff('Define:ctx:1012',axiom,
( mem0(g_s728_719,g_s392_383)
& ! [X_1109: $int] :
( mem0(X_1109,g_s392_383)
=> $greatereq(g_s728_719,X_1109) ) ) ).
tff('Define:ctx:1013',axiom,
mem0(g_s729_720,g_s393_384) ).
tff('Define:ctx:1014',axiom,
( mem0(g_s729_720,g_s393_384)
& ! [X_1110: $int] :
( mem0(X_1110,g_s393_384)
=> $greatereq(g_s729_720,X_1110) ) ) ).
tff('Define:ctx:1015',axiom,
mem0(g_s648_639,g_s130_130) ).
tff('Define:ctx:1016',axiom,
mem0(g_s648_639,g_s595_586) ).
tff('Define:ctx:1017',axiom,
mem0(g_s730_721,g_s393_384) ).
tff('Define:ctx:1018',axiom,
( mem0(g_s730_721,g_s393_384)
& ! [X_1111: $int] :
( mem0(X_1111,g_s393_384)
=> $greatereq(g_s730_721,X_1111) ) ) ).
tff('Define:ctx:1019',axiom,
mem0(g_s731_722,g_s393_384) ).
tff('Define:ctx:102',axiom,
! [X_350: $o,X_351: $int,X_352: $int] :
( mem6(X_352,X_351,(X_350),g_s257_252)
<=> ( mem0(X_352,g_s197_197)
& mem0(X_351,g_s197_197)
& ( (X_350)
<=> $greater(X_352,X_351) ) ) ) ).
tff('Define:ctx:1020',axiom,
( mem0(g_s731_722,g_s393_384)
& ! [X_1112: $int] :
( mem0(X_1112,g_s393_384)
=> $greatereq(g_s731_722,X_1112) ) ) ).
tff('Define:ctx:1021',axiom,
( $greatereq(g_s732_723,min_int)
& $lesseq(g_s732_723,max_int) ) ).
tff('Define:ctx:1022',axiom,
g_s732_723 = min_int ).
tff('Define:ctx:1023',axiom,
mem0(g_s733_724,g_s130_130) ).
tff('Define:ctx:1024',axiom,
mem0(g_s733_724,g_s595_586) ).
tff('Define:ctx:1025',axiom,
mem0(g_s734_725,g_s199_199) ).
tff('Define:ctx:1026',axiom,
mem0(g_s735_726,g_s199_199) ).
tff('Define:ctx:1027',axiom,
mem0(g_s736_727,g_s199_199) ).
tff('Define:ctx:1028',axiom,
mem0(g_s737_728,g_s199_199) ).
tff('Define:ctx:1029',axiom,
mem0(g_s738_729,g_s199_199) ).
tff('Define:ctx:103',axiom,
? [X_353: set_6] :
( ! [X_354: $o,X_355: $int,X_356: $int] :
( mem6(X_356,X_355,(X_354),X_353)
<=> mem6(X_356,X_355,(X_354),g_s258_253) )
& ! [X_357: $int,X_358: $int,X_359: $o,X_360: $o] :
( ( mem6(X_358,X_357,(X_359),X_353)
& mem6(X_358,X_357,(X_360),X_353) )
=> ( (X_359)
<=> (X_360) ) )
& ! [X_361: $int,X_362: $int] :
( ( mem0(X_362,g_s197_197)
& mem0(X_361,g_s197_197) )
<=> ? [X_363: $o] : mem6(X_362,X_361,(X_363),X_353) )
& ! [X_364: $o] :
( ? [X_365: $int,X_366: $int] : mem6(X_366,X_365,(X_364),X_353)
=> $true ) ) ).
tff('Define:ctx:1030',axiom,
mem0(g_s739_730,g_s199_199) ).
tff('Define:ctx:1031',axiom,
mem0(g_s740_731,g_s199_199) ).
tff('Define:ctx:1032',axiom,
mem0(g_s741_732,g_s199_199) ).
tff('Define:ctx:1033',axiom,
mem0(g_s742_733,g_s199_199) ).
tff('Define:ctx:1034',axiom,
mem0(g_s743_734,g_s199_199) ).
tff('Define:ctx:1035',axiom,
mem0(g_s744_735,g_s199_199) ).
tff('Define:ctx:1036',axiom,
mem0(g_s745_736,g_s199_199) ).
tff('Define:ctx:1037',axiom,
mem0(g_s746_737,g_s199_199) ).
tff('Define:ctx:1038',axiom,
mem0(g_s747_738,g_s199_199) ).
tff('Define:ctx:1039',axiom,
mem0(g_s748_739,g_s199_199) ).
tff('Define:ctx:104',axiom,
! [X_367: $o,X_368: $int,X_369: $int] :
( mem6(X_369,X_368,(X_367),g_s258_253)
<=> mem6(X_369,X_368,(X_367),g_s257_252) ) ).
tff('Define:ctx:1040',axiom,
mem0(g_s749_740,g_s199_199) ).
tff('Define:ctx:1041',axiom,
mem0(g_s750_741,g_s199_199) ).
tff('Define:ctx:1042',axiom,
g_s734_725 = g_s206_206 ).
tff('Define:ctx:1043',axiom,
g_s735_726 = g_s207_207 ).
tff('Define:ctx:1044',axiom,
g_s736_727 = g_s208_208 ).
tff('Define:ctx:1045',axiom,
g_s737_728 = g_s209_209 ).
tff('Define:ctx:1046',axiom,
g_s738_729 = g_s210_210 ).
tff('Define:ctx:1047',axiom,
g_s739_730 = g_s211_211 ).
tff('Define:ctx:1048',axiom,
g_s740_731 = g_s212_212 ).
tff('Define:ctx:1049',axiom,
g_s741_732 = g_s213_213 ).
tff('Define:ctx:105',axiom,
? [X_370: set_6] :
( ! [X_371: $o,X_372: $int,X_373: $int] :
( mem6(X_373,X_372,(X_371),X_370)
<=> mem6(X_373,X_372,(X_371),g_s259_254) )
& ! [X_374: $int,X_375: $int,X_376: $o,X_377: $o] :
( ( mem6(X_375,X_374,(X_376),X_370)
& mem6(X_375,X_374,(X_377),X_370) )
=> ( (X_376)
<=> (X_377) ) )
& ! [X_378: $int,X_379: $int] :
( ( mem0(X_379,g_s197_197)
& mem0(X_378,g_s197_197) )
<=> ? [X_380: $o] : mem6(X_379,X_378,(X_380),X_370) )
& ! [X_381: $o] :
( ? [X_382: $int,X_383: $int] : mem6(X_383,X_382,(X_381),X_370)
=> $true ) ) ).
tff('Define:ctx:1050',axiom,
g_s742_733 = g_s214_214 ).
tff('Define:ctx:1051',axiom,
g_s743_734 = g_s215_215 ).
tff('Define:ctx:1052',axiom,
g_s744_735 = g_s216_216 ).
tff('Define:ctx:1053',axiom,
g_s745_736 = g_s217_217 ).
tff('Define:ctx:1054',axiom,
g_s746_737 = g_s218_218 ).
tff('Define:ctx:1055',axiom,
g_s747_738 = g_s219_219 ).
tff('Define:ctx:1056',axiom,
g_s748_739 = g_s220_220 ).
tff('Define:ctx:1057',axiom,
g_s749_740 = g_s221_221 ).
tff('Define:ctx:1058',axiom,
g_s750_741 = g_s222_222 ).
tff('Define:ctx:1059',axiom,
mem0(g_s751_742,g_s199_199) ).
tff('Define:ctx:106',axiom,
! [X_384: $o,X_385: $int,X_386: $int] :
( mem6(X_386,X_385,(X_384),g_s259_254)
<=> mem6(X_386,X_385,(X_384),g_s257_252) ) ).
tff('Define:ctx:1060',axiom,
mem0(g_s752_743,g_s199_199) ).
tff('Define:ctx:1061',axiom,
mem0(g_s753_744,g_s199_199) ).
tff('Define:ctx:1062',axiom,
mem0(g_s754_745,g_s199_199) ).
tff('Define:ctx:1063',axiom,
mem0(g_s755_746,g_s199_199) ).
tff('Define:ctx:1064',axiom,
mem0(g_s756_747,g_s199_199) ).
tff('Define:ctx:1065',axiom,
mem0(g_s757_748,g_s199_199) ).
tff('Define:ctx:1066',axiom,
mem0(g_s758_749,g_s199_199) ).
tff('Define:ctx:1067',axiom,
mem0(g_s759_750,g_s199_199) ).
tff('Define:ctx:1068',axiom,
mem0(g_s760_751,g_s199_199) ).
tff('Define:ctx:1069',axiom,
mem0(g_s761_752,g_s199_199) ).
tff('Define:ctx:107',axiom,
? [X_387: set_6] :
( ! [X_388: $o,X_389: $int,X_390: $int] :
( mem6(X_390,X_389,(X_388),X_387)
<=> mem6(X_390,X_389,(X_388),g_s260_255) )
& ! [X_391: $int,X_392: $int,X_393: $o,X_394: $o] :
( ( mem6(X_392,X_391,(X_393),X_387)
& mem6(X_392,X_391,(X_394),X_387) )
=> ( (X_393)
<=> (X_394) ) )
& ! [X_395: $int,X_396: $int] :
( ( mem0(X_396,g_s197_197)
& mem0(X_395,g_s197_197) )
<=> ? [X_397: $o] : mem6(X_396,X_395,(X_397),X_387) )
& ! [X_398: $o] :
( ? [X_399: $int,X_400: $int] : mem6(X_400,X_399,(X_398),X_387)
=> $true ) ) ).
tff('Define:ctx:1070',axiom,
mem0(g_s762_753,g_s199_199) ).
tff('Define:ctx:1071',axiom,
mem0(g_s763_754,g_s199_199) ).
tff('Define:ctx:1072',axiom,
mem0(g_s764_755,g_s199_199) ).
tff('Define:ctx:1073',axiom,
mem0(g_s765_756,g_s199_199) ).
tff('Define:ctx:1074',axiom,
mem0(g_s766_757,g_s199_199) ).
tff('Define:ctx:1075',axiom,
mem0(g_s767_758,g_s199_199) ).
tff('Define:ctx:1076',axiom,
g_s751_742 = g_s206_206 ).
tff('Define:ctx:1077',axiom,
g_s752_743 = g_s207_207 ).
tff('Define:ctx:1078',axiom,
g_s753_744 = g_s208_208 ).
tff('Define:ctx:1079',axiom,
g_s754_745 = g_s209_209 ).
tff('Define:ctx:108',axiom,
! [X_401: $o,X_402: $int,X_403: $int] :
( mem6(X_403,X_402,(X_401),g_s260_255)
<=> mem6(X_403,X_402,(X_401),g_s257_252) ) ).
tff('Define:ctx:1080',axiom,
g_s755_746 = g_s210_210 ).
tff('Define:ctx:1081',axiom,
g_s756_747 = g_s211_211 ).
tff('Define:ctx:1082',axiom,
g_s757_748 = g_s212_212 ).
tff('Define:ctx:1083',axiom,
g_s758_749 = g_s213_213 ).
tff('Define:ctx:1084',axiom,
g_s759_750 = g_s214_214 ).
tff('Define:ctx:1085',axiom,
g_s760_751 = g_s215_215 ).
tff('Define:ctx:1086',axiom,
g_s761_752 = g_s216_216 ).
tff('Define:ctx:1087',axiom,
g_s762_753 = g_s217_217 ).
tff('Define:ctx:1088',axiom,
g_s763_754 = g_s218_218 ).
tff('Define:ctx:1089',axiom,
g_s764_755 = g_s219_219 ).
tff('Define:ctx:109',axiom,
? [X_404: set_6] :
( ! [X_405: $o,X_406: $int,X_407: $int] :
( mem6(X_407,X_406,(X_405),X_404)
<=> mem6(X_407,X_406,(X_405),g_s261_256) )
& ! [X_408: $int,X_409: $int,X_410: $o,X_411: $o] :
( ( mem6(X_409,X_408,(X_410),X_404)
& mem6(X_409,X_408,(X_411),X_404) )
=> ( (X_410)
<=> (X_411) ) )
& ! [X_412: $int,X_413: $int] :
( ( mem0(X_413,g_s197_197)
& mem0(X_412,g_s197_197) )
<=> ? [X_414: $o] : mem6(X_413,X_412,(X_414),X_404) )
& ! [X_415: $o] :
( ? [X_416: $int,X_417: $int] : mem6(X_417,X_416,(X_415),X_404)
=> $true ) ) ).
tff('Define:ctx:1090',axiom,
g_s765_756 = g_s220_220 ).
tff('Define:ctx:1091',axiom,
g_s766_757 = g_s221_221 ).
tff('Define:ctx:1092',axiom,
g_s767_758 = g_s222_222 ).
tff('Define:ctx:1093',axiom,
g_s768_759 = g_s206_206 ).
tff('Define:ctx:1094',axiom,
g_s769_760 = g_s207_207 ).
tff('Define:ctx:1095',axiom,
g_s770_761 = g_s208_208 ).
tff('Define:ctx:1096',axiom,
mem0(g_s771_762,g_s199_199) ).
tff('Define:ctx:1097',axiom,
mem0(g_s772_763,g_s199_199) ).
tff('Define:ctx:1098',axiom,
mem0(g_s773_764,g_s199_199) ).
tff('Define:ctx:1099',axiom,
mem0(g_s774_765,g_s199_199) ).
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_418: $o,X_419: $int,X_420: $int] :
( mem6(X_420,X_419,(X_418),g_s261_256)
<=> ( mem0(X_420,g_s197_197)
& mem0(X_419,g_s197_197)
& ( (X_418)
<=> ( X_420 = X_419 ) ) ) ) ).
tff('Define:ctx:1100',axiom,
mem0(g_s775_766,g_s199_199) ).
tff('Define:ctx:1101',axiom,
mem0(g_s776_767,g_s199_199) ).
tff('Define:ctx:1102',axiom,
mem0(g_s777_768,g_s199_199) ).
tff('Define:ctx:1103',axiom,
mem0(g_s778_769,g_s199_199) ).
tff('Define:ctx:1104',axiom,
mem0(g_s779_770,g_s199_199) ).
tff('Define:ctx:1105',axiom,
g_s771_762 = g_s206_206 ).
tff('Define:ctx:1106',axiom,
g_s772_763 = g_s207_207 ).
tff('Define:ctx:1107',axiom,
g_s773_764 = g_s208_208 ).
tff('Define:ctx:1108',axiom,
g_s774_765 = g_s209_209 ).
tff('Define:ctx:1109',axiom,
g_s775_766 = g_s210_210 ).
tff('Define:ctx:111',axiom,
? [X_421: set_6] :
( ! [X_422: $o,X_423: $int,X_424: $int] :
( mem6(X_424,X_423,(X_422),X_421)
<=> mem6(X_424,X_423,(X_422),g_s262_257) )
& ! [X_425: $int,X_426: $int,X_427: $o,X_428: $o] :
( ( mem6(X_426,X_425,(X_427),X_421)
& mem6(X_426,X_425,(X_428),X_421) )
=> ( (X_427)
<=> (X_428) ) )
& ! [X_429: $int,X_430: $int] :
( ( mem0(X_430,g_s197_197)
& mem0(X_429,g_s197_197) )
<=> ? [X_431: $o] : mem6(X_430,X_429,(X_431),X_421) )
& ! [X_432: $o] :
( ? [X_433: $int,X_434: $int] : mem6(X_434,X_433,(X_432),X_421)
=> $true ) ) ).
tff('Define:ctx:1110',axiom,
g_s776_767 = g_s211_211 ).
tff('Define:ctx:1111',axiom,
g_s777_768 = g_s212_212 ).
tff('Define:ctx:1112',axiom,
g_s778_769 = g_s213_213 ).
tff('Define:ctx:1113',axiom,
g_s779_770 = g_s214_214 ).
tff('Define:ctx:1114',axiom,
? [X_1113: set_2] :
( ! [X_1114: $int,X_1115: $int] :
( mem2(X_1115,X_1114,X_1113)
<=> mem2(X_1115,X_1114,g_s780_771) )
& ! [X_1116: $int,X_1117: $int,X_1118: $int] :
( ( mem2(X_1116,X_1117,X_1113)
& mem2(X_1116,X_1118,X_1113) )
=> ( X_1117 = X_1118 ) )
& ! [X_1119: $int] :
( mem0(X_1119,g_s595_586)
<=> ? [X_1120: $int] : mem2(X_1119,X_1120,X_1113) )
& ! [X_1121: $int] :
( ? [X_1122: $int] : mem2(X_1122,X_1121,X_1113)
=> mem0(X_1121,g_s598_589) ) ) ).
tff('Define:ctx:1115',axiom,
( ? [X_1123: set_7] :
( ! [X_1124: $int,X_1125: $int,X_1126: $int] :
( mem7(X_1126,X_1125,X_1124,X_1123)
<=> mem7(X_1126,X_1125,X_1124,g_s781_772) )
& ! [X_1127: $int,X_1128: $int,X_1129: $int,X_1130: $int] :
( ( mem7(X_1128,X_1127,X_1129,X_1123)
& mem7(X_1128,X_1127,X_1130,X_1123) )
=> ( X_1129 = X_1130 ) )
& ! [X_1131: $int,X_1132: $int] :
( ( mem0(X_1132,g_s590_581)
& mem0(X_1131,g_s380_371) )
<=> ? [X_1133: $int] : mem7(X_1132,X_1131,X_1133,X_1123) )
& ! [X_1134: $int] :
( ? [X_1135: $int,X_1136: $int] : mem7(X_1136,X_1135,X_1134,X_1123)
=> mem0(X_1134,g_s595_586) ) )
& ! [X_1137: $int,X_1138: $int,X_1139: $int,X_1140: $int,X_1141: $int] :
( ( mem7(X_1139,X_1138,X_1137,g_s781_772)
& mem7(X_1141,X_1140,X_1137,g_s781_772) )
=> ( ( X_1139 = X_1141 )
& ( X_1138 = X_1140 ) ) ) ) ).
tff('Define:ctx:1116',axiom,
( ? [X_1142: set_7] :
( ! [X_1143: $int,X_1144: $int,X_1145: $int] :
( mem7(X_1145,X_1144,X_1143,X_1142)
<=> mem7(X_1145,X_1144,X_1143,g_s782_773) )
& ! [X_1146: $int,X_1147: $int,X_1148: $int,X_1149: $int] :
( ( mem7(X_1147,X_1146,X_1148,X_1142)
& mem7(X_1147,X_1146,X_1149,X_1142) )
=> ( X_1148 = X_1149 ) )
& ! [X_1150: $int,X_1151: $int] :
( ( mem0(X_1151,g_s590_581)
& mem0(X_1150,g_s380_371) )
<=> ? [X_1152: $int] : mem7(X_1151,X_1150,X_1152,X_1142) )
& ! [X_1153: $int] :
( ? [X_1154: $int,X_1155: $int] : mem7(X_1155,X_1154,X_1153,X_1142)
=> mem0(X_1153,g_s595_586) ) )
& ! [X_1156: $int,X_1157: $int,X_1158: $int,X_1159: $int,X_1160: $int] :
( ( mem7(X_1158,X_1157,X_1156,g_s782_773)
& mem7(X_1160,X_1159,X_1156,g_s782_773) )
=> ( ( X_1158 = X_1160 )
& ( X_1157 = X_1159 ) ) ) ) ).
tff('Define:ctx:1117',axiom,
( ? [X_1161: set_7] :
( ! [X_1162: $int,X_1163: $int,X_1164: $int] :
( mem7(X_1164,X_1163,X_1162,X_1161)
<=> mem7(X_1164,X_1163,X_1162,g_s783_774) )
& ! [X_1165: $int,X_1166: $int,X_1167: $int,X_1168: $int] :
( ( mem7(X_1166,X_1165,X_1167,X_1161)
& mem7(X_1166,X_1165,X_1168,X_1161) )
=> ( X_1167 = X_1168 ) )
& ! [X_1169: $int,X_1170: $int] :
( ( mem0(X_1170,g_s592_583)
& mem0(X_1169,g_s396_387) )
<=> ? [X_1171: $int] : mem7(X_1170,X_1169,X_1171,X_1161) )
& ! [X_1172: $int] :
( ? [X_1173: $int,X_1174: $int] : mem7(X_1174,X_1173,X_1172,X_1161)
=> mem0(X_1172,g_s595_586) ) )
& ! [X_1175: $int,X_1176: $int,X_1177: $int,X_1178: $int,X_1179: $int] :
( ( mem7(X_1177,X_1176,X_1175,g_s783_774)
& mem7(X_1179,X_1178,X_1175,g_s783_774) )
=> ( ( X_1177 = X_1179 )
& ( X_1176 = X_1178 ) ) ) ) ).
tff('Define:ctx:1118',axiom,
? [X_1180: set_2] :
( ! [X_1181: $int,X_1182: $int] :
( mem2(X_1182,X_1181,X_1180)
<=> mem2(X_1182,X_1181,g_s784_775) )
& ! [X_1183: $int,X_1184: $int,X_1185: $int] :
( ( mem2(X_1183,X_1184,X_1180)
& mem2(X_1183,X_1185,X_1180) )
=> ( X_1184 = X_1185 ) )
& ! [X_1186: $int] :
( mem0(X_1186,g_s595_586)
<=> ? [X_1187: $int] : mem2(X_1186,X_1187,X_1180) )
& ! [X_1188: $int] :
( ? [X_1189: $int] : mem2(X_1189,X_1188,X_1180)
=> mem0(X_1188,g_s590_581) ) ) ).
tff('Define:ctx:1119',axiom,
? [X_1190: set_2] :
( ! [X_1191: $int,X_1192: $int] :
( mem2(X_1192,X_1191,X_1190)
<=> mem2(X_1192,X_1191,g_s785_776) )
& ! [X_1193: $int,X_1194: $int,X_1195: $int] :
( ( mem2(X_1193,X_1194,X_1190)
& mem2(X_1193,X_1195,X_1190) )
=> ( X_1194 = X_1195 ) )
& ! [X_1196: $int] :
( mem0(X_1196,g_s595_586)
<=> ? [X_1197: $int] : mem2(X_1196,X_1197,X_1190) )
& ! [X_1198: $int] :
( ? [X_1199: $int] : mem2(X_1199,X_1198,X_1190)
=> mem0(X_1198,g_s380_371) ) ) ).
tff('Define:ctx:112',axiom,
! [X_435: $o,X_436: $int,X_437: $int] :
( mem6(X_437,X_436,(X_435),g_s262_257)
<=> mem6(X_437,X_436,(X_435),g_s261_256) ) ).
tff('Define:ctx:1120',axiom,
? [X_1200: set_2] :
( ! [X_1201: $int,X_1202: $int] :
( mem2(X_1202,X_1201,X_1200)
<=> mem2(X_1202,X_1201,g_s786_777) )
& ! [X_1203: $int,X_1204: $int,X_1205: $int] :
( ( mem2(X_1203,X_1204,X_1200)
& mem2(X_1203,X_1205,X_1200) )
=> ( X_1204 = X_1205 ) )
& ! [X_1206: $int] :
( mem0(X_1206,g_s590_581)
<=> ? [X_1207: $int] : mem2(X_1206,X_1207,X_1200) )
& ! [X_1208: $int] :
( ? [X_1209: $int] : mem2(X_1209,X_1208,X_1200)
=> mem0(X_1208,g_s385_376) ) ) ).
tff('Define:ctx:1121',axiom,
? [X_1210: set_2] :
( ! [X_1211: $int,X_1212: $int] :
( mem2(X_1212,X_1211,X_1210)
<=> mem2(X_1212,X_1211,g_s787_778) )
& ! [X_1213: $int,X_1214: $int,X_1215: $int] :
( ( mem2(X_1213,X_1214,X_1210)
& mem2(X_1213,X_1215,X_1210) )
=> ( X_1214 = X_1215 ) )
& ! [X_1216: $int] :
( mem0(X_1216,g_s590_581)
<=> ? [X_1217: $int] : mem2(X_1216,X_1217,X_1210) )
& ! [X_1218: $int] :
( ? [X_1219: $int] : mem2(X_1219,X_1218,X_1210)
=> mem0(X_1218,g_s385_376) ) ) ).
tff('Define:ctx:1122',axiom,
? [X_1220: set_2] :
( ! [X_1221: $int,X_1222: $int] :
( mem2(X_1222,X_1221,X_1220)
<=> mem2(X_1222,X_1221,g_s788_779) )
& ! [X_1223: $int,X_1224: $int,X_1225: $int] :
( ( mem2(X_1223,X_1224,X_1220)
& mem2(X_1223,X_1225,X_1220) )
=> ( X_1224 = X_1225 ) )
& ! [X_1226: $int] :
( mem0(X_1226,g_s590_581)
<=> ? [X_1227: $int] : mem2(X_1226,X_1227,X_1220) )
& ! [X_1228: $int] :
( ? [X_1229: $int] : mem2(X_1229,X_1228,X_1220)
=> mem0(X_1228,g_s129_129) ) ) ).
tff('Define:ctx:1123',axiom,
? [X_1230: set_2] :
( ! [X_1231: $int,X_1232: $int] :
( mem2(X_1232,X_1231,X_1230)
<=> mem2(X_1232,X_1231,g_s789_780) )
& ! [X_1233: $int,X_1234: $int,X_1235: $int] :
( ( mem2(X_1233,X_1234,X_1230)
& mem2(X_1233,X_1235,X_1230) )
=> ( X_1234 = X_1235 ) )
& ! [X_1236: $int] :
( mem0(X_1236,g_s590_581)
<=> ? [X_1237: $int] : mem2(X_1236,X_1237,X_1230) )
& ! [X_1238: $int] :
( ? [X_1239: $int] : mem2(X_1239,X_1238,X_1230)
=> mem0(X_1238,g_s591_582) ) ) ).
tff('Define:ctx:1124',axiom,
? [X_1240: set_2] :
( ! [X_1241: $int,X_1242: $int] :
( mem2(X_1242,X_1241,X_1240)
<=> mem2(X_1242,X_1241,g_s790_781) )
& ! [X_1243: $int,X_1244: $int,X_1245: $int] :
( ( mem2(X_1243,X_1244,X_1240)
& mem2(X_1243,X_1245,X_1240) )
=> ( X_1244 = X_1245 ) )
& ! [X_1246: $int] :
( mem0(X_1246,g_s590_581)
<=> ? [X_1247: $int] : mem2(X_1246,X_1247,X_1240) )
& ! [X_1248: $int] :
( ? [X_1249: $int] : mem2(X_1249,X_1248,X_1240)
=> mem0(X_1248,g_s380_371) ) ) ).
tff('Define:ctx:1125',axiom,
? [X_1250: set_2] :
( ! [X_1251: $int,X_1252: $int] :
( mem2(X_1252,X_1251,X_1250)
<=> mem2(X_1252,X_1251,g_s791_782) )
& ! [X_1253: $int,X_1254: $int,X_1255: $int] :
( ( mem2(X_1253,X_1254,X_1250)
& mem2(X_1253,X_1255,X_1250) )
=> ( X_1254 = X_1255 ) )
& ! [X_1256: $int] :
( mem0(X_1256,g_s590_581)
<=> ? [X_1257: $int] : mem2(X_1256,X_1257,X_1250) )
& ! [X_1258: $int] :
( ? [X_1259: $int] : mem2(X_1259,X_1258,X_1250)
=> mem0(X_1258,g_s132_132) ) ) ).
tff('Define:ctx:1126',axiom,
? [X_1260: set_2] :
( ! [X_1261: $int,X_1262: $int] :
( mem2(X_1262,X_1261,X_1260)
<=> mem2(X_1262,X_1261,g_s792_783) )
& ! [X_1263: $int,X_1264: $int,X_1265: $int] :
( ( mem2(X_1263,X_1264,X_1260)
& mem2(X_1263,X_1265,X_1260) )
=> ( X_1264 = X_1265 ) )
& ! [X_1266: $int] :
( mem0(X_1266,g_s590_581)
<=> ? [X_1267: $int] : mem2(X_1266,X_1267,X_1260) )
& ! [X_1268: $int] :
( ? [X_1269: $int] : mem2(X_1269,X_1268,X_1260)
=> mem0(X_1268,g_s129_129) ) ) ).
tff('Define:ctx:1127',axiom,
? [X_1270: set_2] :
( ! [X_1271: $int,X_1272: $int] :
( mem2(X_1272,X_1271,X_1270)
<=> mem2(X_1272,X_1271,g_s793_784) )
& ! [X_1273: $int,X_1274: $int,X_1275: $int] :
( ( mem2(X_1273,X_1274,X_1270)
& mem2(X_1273,X_1275,X_1270) )
=> ( X_1274 = X_1275 ) )
& ! [X_1276: $int] :
( mem0(X_1276,g_s590_581)
<=> ? [X_1277: $int] : mem2(X_1276,X_1277,X_1270) )
& ! [X_1278: $int] :
( ? [X_1279: $int] : mem2(X_1279,X_1278,X_1270)
=> mem0(X_1278,g_s591_582) ) ) ).
tff('Define:ctx:1128',axiom,
? [X_1280: set_2] :
( ! [X_1281: $int,X_1282: $int] :
( mem2(X_1282,X_1281,X_1280)
<=> mem2(X_1282,X_1281,g_s794_785) )
& ! [X_1283: $int,X_1284: $int,X_1285: $int] :
( ( mem2(X_1283,X_1284,X_1280)
& mem2(X_1283,X_1285,X_1280) )
=> ( X_1284 = X_1285 ) )
& ! [X_1286: $int] :
( mem0(X_1286,g_s590_581)
<=> ? [X_1287: $int] : mem2(X_1286,X_1287,X_1280) )
& ! [X_1288: $int] :
( ? [X_1289: $int] : mem2(X_1289,X_1288,X_1280)
=> mem0(X_1288,g_s380_371) ) ) ).
tff('Define:ctx:1129',axiom,
? [X_1290: set_2] :
( ! [X_1291: $int,X_1292: $int] :
( mem2(X_1292,X_1291,X_1290)
<=> mem2(X_1292,X_1291,g_s795_786) )
& ! [X_1293: $int,X_1294: $int,X_1295: $int] :
( ( mem2(X_1293,X_1294,X_1290)
& mem2(X_1293,X_1295,X_1290) )
=> ( X_1294 = X_1295 ) )
& ! [X_1296: $int] :
( mem0(X_1296,g_s590_581)
<=> ? [X_1297: $int] : mem2(X_1296,X_1297,X_1290) )
& ! [X_1298: $int] :
( ? [X_1299: $int] : mem2(X_1299,X_1298,X_1290)
=> mem0(X_1298,g_s132_132) ) ) ).
tff('Define:ctx:113',axiom,
? [X_438: set_6] :
( ! [X_439: $o,X_440: $int,X_441: $int] :
( mem6(X_441,X_440,(X_439),X_438)
<=> mem6(X_441,X_440,(X_439),g_s263_258) )
& ! [X_442: $int,X_443: $int,X_444: $o,X_445: $o] :
( ( mem6(X_443,X_442,(X_444),X_438)
& mem6(X_443,X_442,(X_445),X_438) )
=> ( (X_444)
<=> (X_445) ) )
& ! [X_446: $int,X_447: $int] :
( ( mem0(X_447,g_s197_197)
& mem0(X_446,g_s197_197) )
<=> ? [X_448: $o] : mem6(X_447,X_446,(X_448),X_438) )
& ! [X_449: $o] :
( ? [X_450: $int,X_451: $int] : mem6(X_451,X_450,(X_449),X_438)
=> $true ) ) ).
tff('Define:ctx:1130',axiom,
? [X_1300: set_2] :
( ! [X_1301: $int,X_1302: $int] :
( mem2(X_1302,X_1301,X_1300)
<=> mem2(X_1302,X_1301,g_s796_787) )
& ! [X_1303: $int,X_1304: $int,X_1305: $int] :
( ( mem2(X_1303,X_1304,X_1300)
& mem2(X_1303,X_1305,X_1300) )
=> ( X_1304 = X_1305 ) )
& ! [X_1306: $int] :
( mem0(X_1306,g_s590_581)
<=> ? [X_1307: $int] : mem2(X_1306,X_1307,X_1300) )
& ! [X_1308: $int] :
( ? [X_1309: $int] : mem2(X_1309,X_1308,X_1300)
=> mem0(X_1308,g_s129_129) ) ) ).
tff('Define:ctx:1131',axiom,
? [X_1310: set_2] :
( ! [X_1311: $int,X_1312: $int] :
( mem2(X_1312,X_1311,X_1310)
<=> mem2(X_1312,X_1311,g_s797_788) )
& ! [X_1313: $int,X_1314: $int,X_1315: $int] :
( ( mem2(X_1313,X_1314,X_1310)
& mem2(X_1313,X_1315,X_1310) )
=> ( X_1314 = X_1315 ) )
& ! [X_1316: $int] :
( mem0(X_1316,g_s590_581)
<=> ? [X_1317: $int] : mem2(X_1316,X_1317,X_1310) )
& ! [X_1318: $int] :
( ? [X_1319: $int] : mem2(X_1319,X_1318,X_1310)
=> mem0(X_1318,g_s591_582) ) ) ).
tff('Define:ctx:1132',axiom,
? [X_1320: set_2] :
( ! [X_1321: $int,X_1322: $int] :
( mem2(X_1322,X_1321,X_1320)
<=> mem2(X_1322,X_1321,g_s798_789) )
& ! [X_1323: $int,X_1324: $int,X_1325: $int] :
( ( mem2(X_1323,X_1324,X_1320)
& mem2(X_1323,X_1325,X_1320) )
=> ( X_1324 = X_1325 ) )
& ! [X_1326: $int] :
( mem0(X_1326,g_s590_581)
<=> ? [X_1327: $int] : mem2(X_1326,X_1327,X_1320) )
& ! [X_1328: $int] :
( ? [X_1329: $int] : mem2(X_1329,X_1328,X_1320)
=> mem0(X_1328,g_s380_371) ) ) ).
tff('Define:ctx:1133',axiom,
? [X_1330: set_2] :
( ! [X_1331: $int,X_1332: $int] :
( mem2(X_1332,X_1331,X_1330)
<=> mem2(X_1332,X_1331,g_s799_790) )
& ! [X_1333: $int,X_1334: $int,X_1335: $int] :
( ( mem2(X_1333,X_1334,X_1330)
& mem2(X_1333,X_1335,X_1330) )
=> ( X_1334 = X_1335 ) )
& ! [X_1336: $int] :
( mem0(X_1336,g_s590_581)
<=> ? [X_1337: $int] : mem2(X_1336,X_1337,X_1330) )
& ! [X_1338: $int] :
( ? [X_1339: $int] : mem2(X_1339,X_1338,X_1330)
=> mem0(X_1338,g_s132_132) ) ) ).
tff('Define:ctx:1134',axiom,
? [X_1340: set_2] :
( ! [X_1341: $int,X_1342: $int] :
( mem2(X_1342,X_1341,X_1340)
<=> mem2(X_1342,X_1341,g_s800_791) )
& ! [X_1343: $int,X_1344: $int,X_1345: $int] :
( ( mem2(X_1343,X_1344,X_1340)
& mem2(X_1343,X_1345,X_1340) )
=> ( X_1344 = X_1345 ) )
& ! [X_1346: $int] :
( mem0(X_1346,g_s590_581)
<=> ? [X_1347: $int] : mem2(X_1346,X_1347,X_1340) )
& ! [X_1348: $int] :
( ? [X_1349: $int] : mem2(X_1349,X_1348,X_1340)
=> mem0(X_1348,g_s129_129) ) ) ).
tff('Define:ctx:1135',axiom,
? [X_1350: set_2] :
( ! [X_1351: $int,X_1352: $int] :
( mem2(X_1352,X_1351,X_1350)
<=> mem2(X_1352,X_1351,g_s801_792) )
& ! [X_1353: $int,X_1354: $int,X_1355: $int] :
( ( mem2(X_1353,X_1354,X_1350)
& mem2(X_1353,X_1355,X_1350) )
=> ( X_1354 = X_1355 ) )
& ! [X_1356: $int] :
( mem0(X_1356,g_s590_581)
<=> ? [X_1357: $int] : mem2(X_1356,X_1357,X_1350) )
& ! [X_1358: $int] :
( ? [X_1359: $int] : mem2(X_1359,X_1358,X_1350)
=> mem0(X_1358,g_s591_582) ) ) ).
tff('Define:ctx:1136',axiom,
? [X_1360: set_2] :
( ! [X_1361: $int,X_1362: $int] :
( mem2(X_1362,X_1361,X_1360)
<=> mem2(X_1362,X_1361,g_s802_793) )
& ! [X_1363: $int,X_1364: $int,X_1365: $int] :
( ( mem2(X_1363,X_1364,X_1360)
& mem2(X_1363,X_1365,X_1360) )
=> ( X_1364 = X_1365 ) )
& ! [X_1366: $int] :
( mem0(X_1366,g_s590_581)
<=> ? [X_1367: $int] : mem2(X_1366,X_1367,X_1360) )
& ! [X_1368: $int] :
( ? [X_1369: $int] : mem2(X_1369,X_1368,X_1360)
=> mem0(X_1368,g_s380_371) ) ) ).
tff('Define:ctx:1137',axiom,
? [X_1370: set_2] :
( ! [X_1371: $int,X_1372: $int] :
( mem2(X_1372,X_1371,X_1370)
<=> mem2(X_1372,X_1371,g_s803_794) )
& ! [X_1373: $int,X_1374: $int,X_1375: $int] :
( ( mem2(X_1373,X_1374,X_1370)
& mem2(X_1373,X_1375,X_1370) )
=> ( X_1374 = X_1375 ) )
& ! [X_1376: $int] :
( mem0(X_1376,g_s590_581)
<=> ? [X_1377: $int] : mem2(X_1376,X_1377,X_1370) )
& ! [X_1378: $int] :
( ? [X_1379: $int] : mem2(X_1379,X_1378,X_1370)
=> mem0(X_1378,g_s132_132) ) ) ).
tff('Define:ctx:1138',axiom,
? [X_1380: set_2] :
( ! [X_1381: $int,X_1382: $int] :
( mem2(X_1382,X_1381,X_1380)
<=> mem2(X_1382,X_1381,g_s804_795) )
& ! [X_1383: $int,X_1384: $int,X_1385: $int] :
( ( mem2(X_1383,X_1384,X_1380)
& mem2(X_1383,X_1385,X_1380) )
=> ( X_1384 = X_1385 ) )
& ! [X_1386: $int] :
( mem0(X_1386,g_s590_581)
<=> ? [X_1387: $int] : mem2(X_1386,X_1387,X_1380) )
& ! [X_1388: $int] :
( ? [X_1389: $int] : mem2(X_1389,X_1388,X_1380)
=> mem0(X_1388,g_s381_372) ) ) ).
tff('Define:ctx:1139',axiom,
? [X_1390: set_2] :
( ! [X_1391: $int,X_1392: $int] :
( mem2(X_1392,X_1391,X_1390)
<=> mem2(X_1392,X_1391,g_s805_796) )
& ! [X_1393: $int,X_1394: $int,X_1395: $int] :
( ( mem2(X_1393,X_1394,X_1390)
& mem2(X_1393,X_1395,X_1390) )
=> ( X_1394 = X_1395 ) )
& ! [X_1396: $int] :
( mem0(X_1396,g_s590_581)
<=> ? [X_1397: $int] : mem2(X_1396,X_1397,X_1390) )
& ! [X_1398: $int] :
( ? [X_1399: $int] : mem2(X_1399,X_1398,X_1390)
=> mem0(X_1398,g_s381_372) ) ) ).
tff('Define:ctx:114',axiom,
! [X_452: $o,X_453: $int,X_454: $int] :
( mem6(X_454,X_453,(X_452),g_s263_258)
<=> mem6(X_454,X_453,(X_452),g_s261_256) ) ).
tff('Define:ctx:1140',axiom,
? [X_1400: set_2] :
( ! [X_1401: $int,X_1402: $int] :
( mem2(X_1402,X_1401,X_1400)
<=> mem2(X_1402,X_1401,g_s806_797) )
& ! [X_1403: $int,X_1404: $int,X_1405: $int] :
( ( mem2(X_1403,X_1404,X_1400)
& mem2(X_1403,X_1405,X_1400) )
=> ( X_1404 = X_1405 ) )
& ! [X_1406: $int] :
( mem0(X_1406,g_s590_581)
<=> ? [X_1407: $int] : mem2(X_1406,X_1407,X_1400) )
& ! [X_1408: $int] :
( ? [X_1409: $int] : mem2(X_1409,X_1408,X_1400)
=> mem0(X_1408,g_s385_376) ) ) ).
tff('Define:ctx:1141',axiom,
? [X_1410: set_2] :
( ! [X_1411: $int,X_1412: $int] :
( mem2(X_1412,X_1411,X_1410)
<=> mem2(X_1412,X_1411,g_s807_798) )
& ! [X_1413: $int,X_1414: $int,X_1415: $int] :
( ( mem2(X_1413,X_1414,X_1410)
& mem2(X_1413,X_1415,X_1410) )
=> ( X_1414 = X_1415 ) )
& ! [X_1416: $int] :
( mem0(X_1416,g_s590_581)
<=> ? [X_1417: $int] : mem2(X_1416,X_1417,X_1410) )
& ! [X_1418: $int] :
( ? [X_1419: $int] : mem2(X_1419,X_1418,X_1410)
=> mem0(X_1418,g_s385_376) ) ) ).
tff('Define:ctx:1142',axiom,
? [X_1420: set_2] :
( ! [X_1421: $int,X_1422: $int] :
( mem2(X_1422,X_1421,X_1420)
<=> mem2(X_1422,X_1421,g_s808_799) )
& ! [X_1423: $int,X_1424: $int,X_1425: $int] :
( ( mem2(X_1423,X_1424,X_1420)
& mem2(X_1423,X_1425,X_1420) )
=> ( X_1424 = X_1425 ) )
& ! [X_1426: $int] :
( mem0(X_1426,g_s595_586)
<=> ? [X_1427: $int] : mem2(X_1426,X_1427,X_1420) )
& ! [X_1428: $int] :
( ? [X_1429: $int] : mem2(X_1429,X_1428,X_1420)
=> mem0(X_1428,g_s385_376) ) ) ).
tff('Define:ctx:1143',axiom,
? [X_1430: set_2] :
( ! [X_1431: $int,X_1432: $int] :
( mem2(X_1432,X_1431,X_1430)
<=> mem2(X_1432,X_1431,g_s809_800) )
& ! [X_1433: $int,X_1434: $int,X_1435: $int] :
( ( mem2(X_1433,X_1434,X_1430)
& mem2(X_1433,X_1435,X_1430) )
=> ( X_1434 = X_1435 ) )
& ! [X_1436: $int] :
( mem0(X_1436,g_s595_586)
<=> ? [X_1437: $int] : mem2(X_1436,X_1437,X_1430) )
& ! [X_1438: $int] :
( ? [X_1439: $int] : mem2(X_1439,X_1438,X_1430)
=> mem0(X_1438,g_s385_376) ) ) ).
tff('Define:ctx:1144',axiom,
! [X_1440: $int,X_1441: $int] :
( mem2(X_1441,X_1440,g_s810_801)
=> ( mem0(X_1441,g_s595_586)
& mem0(X_1440,g_s595_586) ) ) ).
tff('Define:ctx:1145',axiom,
? [X_1442: set_8] :
( ! [X_1443: set_0,X_1444: $int,X_1445: $int] :
( mem8(X_1445,X_1444,X_1443,X_1442)
<=> mem8(X_1445,X_1444,X_1443,g_s811_802) )
& ! [X_1446: $int,X_1447: $int,X_1448: set_0,X_1449: set_0] :
( ( mem8(X_1447,X_1446,X_1448,X_1442)
& mem8(X_1447,X_1446,X_1449,X_1442) )
=> ! [X_1450: $int] :
( mem0(X_1450,X_1448)
<=> mem0(X_1450,X_1449) ) )
& ! [X_1451: $int,X_1452: $int] :
( mem2(X_1452,X_1451,g_s810_801)
<=> ? [X_1453: set_0] : mem8(X_1452,X_1451,X_1453,X_1442) )
& ! [X_1454: set_0] :
( ? [X_1455: $int,X_1456: $int] : mem8(X_1456,X_1455,X_1454,X_1442)
=> ! [X_1457: $int] :
( mem0(X_1457,X_1454)
=> mem0(X_1457,g_s602_593) ) ) ) ).
tff('Define:ctx:1146',axiom,
( ! [X_1458: set_0,X_1459: $int,X_1460: $int] :
( mem8(X_1460,X_1459,X_1458,g_s812_803)
=> ( mem0(X_1460,g_s595_586)
& mem0(X_1459,g_s595_586)
& ! [X_1461: $int] :
( mem0(X_1461,X_1458)
=> mem0(X_1461,g_s602_593) ) ) )
& ! [X_1462: $int,X_1463: $int,X_1464: set_0,X_1465: set_0] :
( ( mem8(X_1463,X_1462,X_1464,g_s812_803)
& mem8(X_1463,X_1462,X_1465,g_s812_803) )
=> ! [X_1466: $int] :
( mem0(X_1466,X_1464)
<=> mem0(X_1466,X_1465) ) ) ) ).
tff('Define:ctx:1147',axiom,
? [X_1467: set_2] :
( ! [X_1468: $int,X_1469: $int] :
( mem2(X_1469,X_1468,X_1467)
<=> mem2(X_1469,X_1468,g_s813_804) )
& ! [X_1470: $int,X_1471: $int,X_1472: $int] :
( ( mem2(X_1470,X_1471,X_1467)
& mem2(X_1470,X_1472,X_1467) )
=> ( X_1471 = X_1472 ) )
& ! [X_1473: $int] :
( mem0(X_1473,g_s595_586)
<=> ? [X_1474: $int] : mem2(X_1473,X_1474,X_1467) )
& ! [X_1475: $int] :
( ? [X_1476: $int] : mem2(X_1476,X_1475,X_1467)
=> mem0(X_1475,g_s392_383) ) ) ).
tff('Define:ctx:1148',axiom,
? [X_1477: set_2] :
( ! [X_1478: $int,X_1479: $int] :
( mem2(X_1479,X_1478,X_1477)
<=> mem2(X_1479,X_1478,g_s814_805) )
& ! [X_1480: $int,X_1481: $int,X_1482: $int] :
( ( mem2(X_1480,X_1481,X_1477)
& mem2(X_1480,X_1482,X_1477) )
=> ( X_1481 = X_1482 ) )
& ! [X_1483: $int] :
( mem0(X_1483,g_s590_581)
<=> ? [X_1484: $int] : mem2(X_1483,X_1484,X_1477) )
& ! [X_1485: $int] :
( ? [X_1486: $int] : mem2(X_1486,X_1485,X_1477)
=> mem0(X_1485,g_s410_401) ) ) ).
tff('Define:ctx:1149',axiom,
? [X_1487: set_2] :
( ! [X_1488: $int,X_1489: $int] :
( mem2(X_1489,X_1488,X_1487)
<=> mem2(X_1489,X_1488,g_s815_806) )
& ! [X_1490: $int,X_1491: $int,X_1492: $int] :
( ( mem2(X_1490,X_1491,X_1487)
& mem2(X_1490,X_1492,X_1487) )
=> ( X_1491 = X_1492 ) )
& ! [X_1493: $int] :
( mem0(X_1493,g_s592_583)
<=> ? [X_1494: $int] : mem2(X_1493,X_1494,X_1487) )
& ! [X_1495: $int] :
( ? [X_1496: $int] : mem2(X_1496,X_1495,X_1487)
=> mem0(X_1495,g_s414_405) ) ) ).
tff('Define:ctx:115',axiom,
? [X_455: set_6] :
( ! [X_456: $o,X_457: $int,X_458: $int] :
( mem6(X_458,X_457,(X_456),X_455)
<=> mem6(X_458,X_457,(X_456),g_s264_259) )
& ! [X_459: $int,X_460: $int,X_461: $o,X_462: $o] :
( ( mem6(X_460,X_459,(X_461),X_455)
& mem6(X_460,X_459,(X_462),X_455) )
=> ( (X_461)
<=> (X_462) ) )
& ! [X_463: $int,X_464: $int] :
( ( mem0(X_464,g_s197_197)
& mem0(X_463,g_s197_197) )
<=> ? [X_465: $o] : mem6(X_464,X_463,(X_465),X_455) )
& ! [X_466: $o] :
( ? [X_467: $int,X_468: $int] : mem6(X_468,X_467,(X_466),X_455)
=> $true ) ) ).
tff('Define:ctx:1150',axiom,
mem0(g_s816_807,g_s593_584) ).
tff('Define:ctx:1151',axiom,
mem0(g_s817_808,g_s593_584) ).
tff('Define:ctx:1152',axiom,
? [X_1497: set_2] :
( ! [X_1498: $int,X_1499: $int] :
( mem2(X_1499,X_1498,X_1497)
<=> mem2(X_1499,X_1498,g_s818_809) )
& ! [X_1500: $int,X_1501: $int,X_1502: $int] :
( ( mem2(X_1500,X_1501,X_1497)
& mem2(X_1500,X_1502,X_1497) )
=> ( X_1501 = X_1502 ) )
& ! [X_1503: $int] :
( mem0(X_1503,g_s590_581)
<=> ? [X_1504: $int] : mem2(X_1503,X_1504,X_1497) )
& ! [X_1505: $int] :
( ? [X_1506: $int] : mem2(X_1506,X_1505,X_1497)
=> mem0(X_1505,g_s700_691) ) ) ).
tff('Define:ctx:1153',axiom,
? [X_1507: set_2] :
( ! [X_1508: $int,X_1509: $int] :
( mem2(X_1509,X_1508,X_1507)
<=> mem2(X_1509,X_1508,g_s819_810) )
& ! [X_1510: $int,X_1511: $int,X_1512: $int] :
( ( mem2(X_1510,X_1511,X_1507)
& mem2(X_1510,X_1512,X_1507) )
=> ( X_1511 = X_1512 ) )
& ! [X_1513: $int] :
( mem0(X_1513,g_s592_583)
<=> ? [X_1514: $int] : mem2(X_1513,X_1514,X_1507) )
& ! [X_1515: $int] :
( ? [X_1516: $int] : mem2(X_1516,X_1515,X_1507)
=> mem0(X_1515,g_s701_692) ) ) ).
tff('Define:ctx:1154',axiom,
? [X_1517: set_2] :
( ! [X_1518: $int,X_1519: $int] :
( mem2(X_1519,X_1518,X_1517)
<=> mem2(X_1519,X_1518,g_s820_811) )
& ! [X_1520: $int,X_1521: $int,X_1522: $int] :
( ( mem2(X_1520,X_1521,X_1517)
& mem2(X_1520,X_1522,X_1517) )
=> ( X_1521 = X_1522 ) )
& ! [X_1523: $int] :
( mem0(X_1523,g_s592_583)
<=> ? [X_1524: $int] : mem2(X_1523,X_1524,X_1517) )
& ! [X_1525: $int] :
( ? [X_1526: $int] : mem2(X_1526,X_1525,X_1517)
=> mem0(X_1525,g_s702_693) ) ) ).
tff('Define:ctx:1155',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s595_586)
=> ! [X_1527: $int] :
( mem2(L_s821,X_1527,g_s808_799)
=> $lesseq(1,X_1527) ) ) ).
tff('Define:ctx:1156',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s595_586)
=> ! [X_1528: $int] :
( mem2(L_s821,X_1528,g_s809_800)
=> $lesseq(1,X_1528) ) ) ).
tff('Define:ctx:1157',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s595_586)
=> ! [X_1529: $int,X_1530: $int] :
( ( mem2(L_s821,X_1529,g_s784_775)
& mem2(L_s821,X_1530,g_s785_776) )
=> mem7(X_1529,X_1530,L_s821,g_s781_772) ) ) ).
tff('Define:ctx:1158',axiom,
! [L_s821: prod_0] :
( ( mem0(g__s821_2_812,g_s590_581)
& mem0(g__s821_1_813,g_s380_371) )
=> ! [X_1531: $int,X_1532: $int] :
( ( mem7(g__s821_2_812,g__s821_1_813,X_1531,g_s782_773)
& ( g__s821_2_812 = X_1532 )
& mem0(g__s821_2_812,g_s590_581)
& ( ( g__s821_1_813 = g_s2_2 )
| ( g__s821_1_813 = g_s3_3 ) ) )
=> mem2(X_1531,X_1532,g_s784_775) ) ) ).
tff('Define:ctx:1159',axiom,
! [L_s821: $int,L_s822: $int] :
( ( mem0(L_s821,g_s590_581)
& mem0(L_s822,g_s380_371) )
=> ! [X_1533: $int] :
( mem7(L_s821,L_s822,X_1533,g_s781_772)
=> mem2(X_1533,L_s821,g_s784_775) ) ) ).
tff('Define:ctx:116',axiom,
! [X_469: $o,X_470: $int,X_471: $int] :
( mem6(X_471,X_470,(X_469),g_s264_259)
<=> ( mem0(X_471,g_s197_197)
& mem0(X_470,g_s197_197)
& ( (X_469)
<=> ( X_471 != X_470 ) ) ) ) ).
tff('Define:ctx:1160',axiom,
! [L_s821: $int,L_s822: $int] :
( ( mem0(L_s821,g_s590_581)
& mem0(L_s822,g_s380_371) )
=> ! [X_1534: $int] :
( mem7(L_s821,L_s822,X_1534,g_s781_772)
=> mem2(X_1534,L_s822,g_s785_776) ) ) ).
tff('Define:ctx:1161',axiom,
! [L_s821: $int,L_s822: $int] :
( ( mem0(L_s821,g_s590_581)
& mem0(L_s822,g_s380_371) )
=> ! [X_1535: $int] :
( ! [X_1536: $int] :
( ( ( ( L_s822 = g_s2_2 )
& ( X_1536 = g_s3_3 ) )
| ( ( L_s822 = g_s3_3 )
& ( X_1536 = g_s2_2 ) ) )
=> mem7(L_s821,X_1536,X_1535,g_s781_772) )
=> mem7(L_s821,L_s822,X_1535,g_s782_773) ) ) ).
tff('Define:ctx:1162',axiom,
! [L_s823: $int] :
( mem0(L_s823,g_s595_586)
=> ? [X_1537: $int] :
( ? [X_1538: $int,X_1539: $int] :
( mem2(L_s823,X_1539,g_s784_775)
& mem2(L_s823,X_1538,g_s785_776)
& mem7(X_1539,X_1538,X_1537,g_s782_773) )
& ? [X_1540: $int,X_1541: $int] :
( mem2(X_1537,X_1541,g_s784_775)
& mem2(X_1537,X_1540,g_s785_776)
& mem7(X_1541,X_1540,L_s823,g_s782_773) ) ) ) ).
tff('Define:ctx:1163',axiom,
! [L_s823: $int] :
( ( mem0(L_s823,g_s595_586)
& ! [X_1542: $int,X_1543: $int] :
( ( mem2(L_s823,X_1542,g_s784_775)
& mem2(L_s823,X_1543,g_s785_776) )
=> mem7(X_1542,X_1543,g_s648_639,g_s782_773) ) )
=> ( L_s823 = g_s648_639 ) ) ).
tff('Define:ctx:1164',axiom,
! [L_s824: $int,L_s825: $int] :
( ( mem0(L_s824,g_s590_581)
& mem0(L_s825,g_s380_371) )
=> ! [X_1544: $int] :
( mem7(L_s824,L_s825,X_1544,g_s781_772)
=> mem2(X_1544,L_s825,g_s785_776) ) ) ).
tff('Define:ctx:1165',axiom,
! [L_s824: $int] :
( mem0(L_s824,g_s590_581)
=> ( ! [X_1545: $int,X_1546: $int] :
( ( ! [X_1547: $int] :
( mem7(L_s824,g_s2_2,X_1547,g_s781_772)
=> mem2(X_1547,X_1545,g_s808_799) )
& mem2(L_s824,X_1546,g_s786_777) )
=> $greatereq(X_1545,X_1546) )
& ! [X_1548: $int,X_1549: $int] :
( ( ! [X_1550: $int] :
( mem7(L_s824,g_s3_3,X_1550,g_s781_772)
=> mem2(X_1550,X_1548,g_s808_799) )
& mem2(L_s824,X_1549,g_s786_777) )
=> $greatereq(X_1548,X_1549) ) ) ) ).
tff('Define:ctx:1166',axiom,
! [L_s826: prod_0] :
( ( mem0(g__s826_2_814,g_s590_581)
& mem0(g__s826_1_815,g_s380_371) )
=> ! [X_1551: $int,X_1552: $int] :
( ( ! [X_1553: $int] :
( ( ( g__s826_2_814 = X_1553 )
& mem0(g__s826_2_814,g_s590_581)
& ( ( g__s826_1_815 = g_s2_2 )
| ( g__s826_1_815 = g_s3_3 ) ) )
=> mem2(X_1553,X_1551,g_s786_777) )
& ! [X_1554: $int] :
( mem7(g__s826_2_814,g__s826_1_815,X_1554,g_s781_772)
=> mem2(X_1554,X_1552,g_s808_799) ) )
=> $lesseq(X_1551,X_1552) ) ) ).
tff('Define:ctx:1167',axiom,
! [L_s823: $int] :
( ? [X_1555: $int] : mem2(L_s823,X_1555,g_s810_801)
=> ! [X_1556: $int,X_1557: $int] :
( ( mem2(L_s823,X_1556,g_s784_775)
& mem2(L_s823,X_1557,g_s808_799) )
=> mem2(X_1556,X_1557,g_s786_777) ) ) ).
tff('Define:ctx:1168',axiom,
! [L_s823: $int] :
( mem0(L_s823,g_s595_586)
=> ? [L_s824: $int,L_s822: $int] :
( mem0(L_s824,g_s590_581)
& mem0(L_s822,g_s380_371)
& mem7(L_s824,L_s822,L_s823,g_s781_772)
& ( ~ ! [X_1558: $int] :
( mem2(L_s823,X_1558,g_s780_771)
=> $greater(X_1558,1073741824) )
=> ( L_s822 = g_s2_2 ) )
& ( ! [X_1559: $int] :
( mem2(L_s823,X_1559,g_s780_771)
=> $greater(X_1559,1073741824) )
=> ( L_s822 = g_s3_3 ) ) ) ) ).
tff('Define:ctx:1169',axiom,
mem2(g_s648_639,g_s730_721,g_s808_799) ).
tff('Define:ctx:117',axiom,
? [X_472: set_6] :
( ! [X_473: $o,X_474: $int,X_475: $int] :
( mem6(X_475,X_474,(X_473),X_472)
<=> mem6(X_475,X_474,(X_473),g_s265_260) )
& ! [X_476: $int,X_477: $int,X_478: $o,X_479: $o] :
( ( mem6(X_477,X_476,(X_478),X_472)
& mem6(X_477,X_476,(X_479),X_472) )
=> ( (X_478)
<=> (X_479) ) )
& ! [X_480: $int,X_481: $int] :
( ( mem0(X_481,g_s197_197)
& mem0(X_480,g_s197_197) )
<=> ? [X_482: $o] : mem6(X_481,X_480,(X_482),X_472) )
& ! [X_483: $o] :
( ? [X_484: $int,X_485: $int] : mem6(X_485,X_484,(X_483),X_472)
=> $true ) ) ).
tff('Define:ctx:1170',axiom,
mem2(g_s647_638,g_s731_722,g_s786_777) ).
tff('Define:ctx:1171',axiom,
mem7(g_s647_638,g_s3_3,g_s648_639,g_s781_772) ).
tff('Define:ctx:1172',axiom,
mem7(g_s647_638,g_s2_2,g_s648_639,g_s781_772) ).
tff('Define:ctx:1173',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ! [X_1560: $int] :
( mem2(L_s821,X_1560,g_s806_797)
=> $lesseq(0,X_1560) ) ) ).
tff('Define:ctx:1174',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ! [X_1561: $int] :
( mem2(L_s821,X_1561,g_s807_798)
=> $lesseq(0,X_1561) ) ) ).
tff('Define:ctx:1175',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ! [X_1562: $int] :
( mem2(L_s821,X_1562,g_s786_777)
=> $lesseq(1,X_1562) ) ) ).
tff('Define:ctx:1176',axiom,
! [L_s821: $int,L_s827: $int] :
( ( mem0(L_s821,g_s590_581)
& mem0(L_s827,g_s393_384)
& ( L_s821 = g_s647_638 ) )
=> ! [X_1563: $int] :
( mem2(L_s821,X_1563,g_s786_777)
=> ( $greatereq(L_s827,0)
& $lesseq(L_s827,X_1563) ) ) ) ).
tff('Define:ctx:1177',axiom,
! [X_1564: $int] :
( ? [X_1565: $int] : mem2(X_1565,X_1564,g_s788_779)
=> ( mem0(X_1564,g_s590_581)
| ( X_1564 = g_s642_633 ) ) ) ).
tff('Define:ctx:1178',axiom,
! [X_1566: $int] :
( ? [X_1567: $int] : mem2(X_1567,X_1566,g_s792_783)
=> ( mem0(X_1566,g_s590_581)
| ( X_1566 = g_s642_633 ) ) ) ).
tff('Define:ctx:1179',axiom,
! [X_1568: $int] :
( ? [X_1569: $int] : mem2(X_1569,X_1568,g_s796_787)
=> ( mem0(X_1568,g_s590_581)
| ( X_1568 = g_s642_633 ) ) ) ).
tff('Define:ctx:118',axiom,
! [X_486: $o,X_487: $int,X_488: $int] :
( mem6(X_488,X_487,(X_486),g_s265_260)
<=> mem6(X_488,X_487,(X_486),g_s264_259) ) ).
tff('Define:ctx:1180',axiom,
! [X_1570: $int] :
( ? [X_1571: $int] : mem2(X_1571,X_1570,g_s800_791)
=> ( mem0(X_1570,g_s590_581)
| ( X_1570 = g_s642_633 ) ) ) ).
tff('Define:ctx:1181',axiom,
! [X_1572: $int] :
( ? [X_1573: $int] : mem2(X_1573,X_1572,g_s791_782)
=> ( mem0(X_1572,g_s602_593)
| ( X_1572 = g_s645_636 ) ) ) ).
tff('Define:ctx:1182',axiom,
! [X_1574: $int] :
( ? [X_1575: $int] : mem2(X_1575,X_1574,g_s795_786)
=> ( mem0(X_1574,g_s602_593)
| ( X_1574 = g_s645_636 ) ) ) ).
tff('Define:ctx:1183',axiom,
! [X_1576: $int] :
( ? [X_1577: $int] : mem2(X_1577,X_1576,g_s799_790)
=> ( mem0(X_1576,g_s602_593)
| ( X_1576 = g_s645_636 ) ) ) ).
tff('Define:ctx:1184',axiom,
! [X_1578: $int] :
( ? [X_1579: $int] : mem2(X_1579,X_1578,g_s803_794)
=> ( mem0(X_1578,g_s602_593)
| ( X_1578 = g_s645_636 ) ) ) ).
tff('Define:ctx:1185',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s642_633,g_s788_779)
=> mem2(L_s821,g_s645_636,g_s791_782) ) ) ).
tff('Define:ctx:1186',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s645_636,g_s791_782)
<=> mem2(L_s821,g_s645_636,g_s795_786) ) ) ).
tff('Define:ctx:1187',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s645_636,g_s795_786)
<=> mem2(L_s821,g_s642_633,g_s792_783) ) ) ).
tff('Define:ctx:1188',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s642_633,g_s796_787)
=> mem2(L_s821,g_s645_636,g_s799_790) ) ) ).
tff('Define:ctx:1189',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s645_636,g_s799_790)
<=> mem2(L_s821,g_s645_636,g_s803_794) ) ) ).
tff('Define:ctx:119',axiom,
? [X_489: set_6] :
( ! [X_490: $o,X_491: $int,X_492: $int] :
( mem6(X_492,X_491,(X_490),X_489)
<=> mem6(X_492,X_491,(X_490),g_s266_261) )
& ! [X_493: $int,X_494: $int,X_495: $o,X_496: $o] :
( ( mem6(X_494,X_493,(X_495),X_489)
& mem6(X_494,X_493,(X_496),X_489) )
=> ( (X_495)
<=> (X_496) ) )
& ! [X_497: $int,X_498: $int] :
( ( mem0(X_498,g_s197_197)
& mem0(X_497,g_s197_197) )
<=> ? [X_499: $o] : mem6(X_498,X_497,(X_499),X_489) )
& ! [X_500: $o] :
( ? [X_501: $int,X_502: $int] : mem6(X_502,X_501,(X_500),X_489)
=> $true ) ) ).
tff('Define:ctx:1190',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s590_581)
=> ( mem2(L_s821,g_s645_636,g_s803_794)
<=> mem2(L_s821,g_s642_633,g_s800_791) ) ) ).
tff('Define:ctx:1191',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s595_586)
=> ! [X_1580: $int] :
( mem2(L_s821,X_1580,g_s813_804)
=> $less(X_1580,0) ) ) ).
tff('Define:ctx:1192',axiom,
! [L_s828: set_2,L_s829: set_2,L_s830: $int,L_s831: $int] :
( ( ? [X_1581: $int,X_1582: set_2] :
( ! [X_1583: $int,X_1584: $int] :
( mem2(X_1584,X_1583,X_1582)
<=> mem2(X_1584,X_1583,L_s828) )
& ! [X_1585: $int,X_1586: $int,X_1587: $int] :
( ( mem2(X_1585,X_1586,X_1582)
& mem2(X_1585,X_1587,X_1582) )
=> ( X_1586 = X_1587 ) )
& ! [X_1588: $int] :
( ( $greatereq(X_1588,1)
& $lesseq(X_1588,X_1581) )
<=> ? [X_1589: $int] : mem2(X_1588,X_1589,X_1582) )
& ! [X_1590: $int] :
( ? [X_1591: $int] : mem2(X_1591,X_1590,X_1582)
=> mem0(X_1590,g_s595_586) ) )
& ~ ! [X_1592: $int,X_1593: $int] :
( mem2(X_1593,X_1592,L_s828)
<=> $false )
& ? [X_1594: $int,X_1595: set_2] :
( ! [X_1596: $int,X_1597: $int] :
( mem2(X_1597,X_1596,X_1595)
<=> mem2(X_1597,X_1596,L_s829) )
& ! [X_1598: $int,X_1599: $int,X_1600: $int] :
( ( mem2(X_1598,X_1599,X_1595)
& mem2(X_1598,X_1600,X_1595) )
=> ( X_1599 = X_1600 ) )
& ! [X_1601: $int] :
( ( $greatereq(X_1601,1)
& $lesseq(X_1601,X_1594) )
<=> ? [X_1602: $int] : mem2(X_1601,X_1602,X_1595) )
& ! [X_1603: $int] :
( ? [X_1604: $int] : mem2(X_1604,X_1603,X_1595)
=> mem0(X_1603,g_s595_586) ) )
& ~ ! [X_1605: $int,X_1606: $int] :
( mem2(X_1606,X_1605,L_s829)
<=> $false )
& ! [L_s832: $int] :
( ! [X_1607: $int] :
( ! [X_1608: $int] :
( ? [X_1609: $int] : mem2(X_1608,X_1609,L_s828)
<=> ( $greatereq(X_1608,1)
& $lesseq(X_1608,X_1607) ) )
=> ( $greatereq(L_s832,1)
& $lesseq(L_s832,$difference(X_1607,1)) ) )
=> ! [X_1610: $int,X_1611: $int] :
( ( mem2(L_s832,X_1610,L_s828)
& ! [X_1612: $int] :
( ( X_1612 = $sum(L_s832,1) )
=> mem2(X_1612,X_1611,L_s828) ) )
=> mem2(X_1610,X_1611,g_s810_801) ) )
& ! [L_s832: $int] :
( ! [X_1613: $int] :
( ! [X_1614: $int] :
( ? [X_1615: $int] : mem2(X_1614,X_1615,L_s829)
<=> ( $greatereq(X_1614,1)
& $lesseq(X_1614,X_1613) ) )
=> ( $greatereq(L_s832,1)
& $lesseq(L_s832,$difference(X_1613,1)) ) )
=> ! [X_1616: $int,X_1617: $int] :
( ( mem2(L_s832,X_1616,L_s829)
& ! [X_1618: $int] :
( ( X_1618 = $sum(L_s832,1) )
=> mem2(X_1618,X_1617,L_s829) ) )
=> mem2(X_1616,X_1617,g_s810_801) ) )
& ! [X_1619: $int,X_1620: $int] :
( ( ( X_1619 = 1 )
& ! [X_1621: $int] :
( ( X_1621 = 1 )
=> mem2(X_1621,X_1620,L_s829) ) )
=> mem2(X_1619,X_1620,L_s828) )
& ? [X_1622: $int] : mem2(L_s830,X_1622,L_s828)
& ? [X_1623: $int] : mem2(L_s831,X_1623,L_s829)
& ! [X_1624: $int] :
( mem2(L_s831,X_1624,L_s829)
=> mem2(L_s830,X_1624,L_s828) )
& ! [X_1625: set_0,X_1626: set_0] :
( ( ! [X_1627: $int] :
( mem0(X_1627,X_1625)
<=> ? [X_1628: $int] :
( $greatereq(X_1628,1)
& $lesseq(X_1628,$difference(L_s830,1))
& ! [X_1629: $int] :
( mem2(X_1628,X_1629,L_s828)
=> mem2(X_1629,X_1627,g_s808_799) ) ) )
& ! [X_1630: $int] :
( mem0(X_1630,X_1626)
<=> ? [X_1631: $int] :
( $greatereq(X_1631,1)
& $lesseq(X_1631,$difference(L_s831,1))
& ! [X_1632: $int] :
( mem2(X_1631,X_1632,L_s829)
=> mem2(X_1632,X_1630,g_s808_799) ) ) ) )
=> ( isum(X_1625) = isum(X_1626) ) ) )
=> ! [X_1633: $int,X_1634: $int] :
( ( mem2(X_1634,X_1633,L_s828)
& $greatereq(X_1634,1)
& $lesseq(X_1634,L_s830) )
<=> ( mem2(X_1634,X_1633,L_s829)
& $greatereq(X_1634,1)
& $lesseq(X_1634,L_s831) ) ) ) ).
tff('Define:ctx:1193',axiom,
! [L_s828: set_2,L_s829: set_2,L_s830: $int] :
( ( ? [X_1635: $int] :
( ? [X_1636: set_2] :
( ! [X_1637: $int,X_1638: $int] :
( mem2(X_1638,X_1637,X_1636)
<=> mem2(X_1638,X_1637,L_s828) )
& ! [X_1639: $int,X_1640: $int,X_1641: $int] :
( ( mem2(X_1639,X_1640,X_1636)
& mem2(X_1639,X_1641,X_1636) )
=> ( X_1640 = X_1641 ) )
& ! [X_1642: $int] :
( ( $greatereq(X_1642,1)
& $lesseq(X_1642,X_1635) )
<=> ? [X_1643: $int] : mem2(X_1642,X_1643,X_1636) )
& ! [X_1644: $int] :
( ? [X_1645: $int] : mem2(X_1645,X_1644,X_1636)
=> mem0(X_1644,g_s595_586) ) )
& ! [X_1646: $int,X_1647: $int,X_1648: $int] :
( ( mem2(X_1647,X_1646,L_s828)
& mem2(X_1648,X_1646,L_s828) )
=> ( X_1647 = X_1648 ) ) )
& ~ ! [X_1649: $int,X_1650: $int] :
( mem2(X_1650,X_1649,L_s828)
<=> $false )
& ? [X_1651: $int,X_1652: set_2] :
( ! [X_1653: $int,X_1654: $int] :
( mem2(X_1654,X_1653,X_1652)
<=> mem2(X_1654,X_1653,L_s829) )
& ! [X_1655: $int,X_1656: $int,X_1657: $int] :
( ( mem2(X_1655,X_1656,X_1652)
& mem2(X_1655,X_1657,X_1652) )
=> ( X_1656 = X_1657 ) )
& ! [X_1658: $int] :
( ( $greatereq(X_1658,1)
& $lesseq(X_1658,X_1651) )
<=> ? [X_1659: $int] : mem2(X_1658,X_1659,X_1652) )
& ! [X_1660: $int] :
( ? [X_1661: $int] : mem2(X_1661,X_1660,X_1652)
=> mem0(X_1660,g_s595_586) ) )
& ~ ! [X_1662: $int,X_1663: $int] :
( mem2(X_1663,X_1662,L_s829)
<=> $false )
& ! [L_s832: $int] :
( ! [X_1664: $int] :
( ! [X_1665: $int] :
( ? [X_1666: $int] : mem2(X_1665,X_1666,L_s828)
<=> ( $greatereq(X_1665,1)
& $lesseq(X_1665,X_1664) ) )
=> ( $greatereq(L_s832,1)
& $lesseq(L_s832,$difference(X_1664,1)) ) )
=> ! [X_1667: $int,X_1668: $int] :
( ( mem2(L_s832,X_1667,L_s828)
& ! [X_1669: $int] :
( ( X_1669 = $sum(L_s832,1) )
=> mem2(X_1669,X_1668,L_s828) ) )
=> mem2(X_1667,X_1668,g_s810_801) ) )
& ! [L_s832: $int] :
( ! [X_1670: $int] :
( ! [X_1671: $int] :
( ? [X_1672: $int] : mem2(X_1671,X_1672,L_s829)
<=> ( $greatereq(X_1671,1)
& $lesseq(X_1671,X_1670) ) )
=> ( $greatereq(L_s832,1)
& $lesseq(L_s832,$difference(X_1670,1)) ) )
=> ! [X_1673: $int,X_1674: $int] :
( ( mem2(L_s832,X_1673,L_s829)
& ! [X_1675: $int] :
( ( X_1675 = $sum(L_s832,1) )
=> mem2(X_1675,X_1674,L_s829) ) )
=> mem2(X_1673,X_1674,g_s810_801) ) )
& ! [X_1676: $int,X_1677: $int] :
( ( ( X_1676 = 1 )
& ! [X_1678: $int] :
( ( X_1678 = 1 )
=> mem2(X_1678,X_1677,L_s829) ) )
=> mem2(X_1676,X_1677,L_s828) )
& ? [X_1679: $int] : mem2(L_s830,X_1679,L_s828)
& ! [X_1680: $int] :
( ! [X_1681: $int] :
( ! [X_1682: $int] :
( ? [X_1683: $int] : mem2(X_1682,X_1683,L_s829)
<=> ( $greatereq(X_1682,1)
& $lesseq(X_1682,X_1681) ) )
=> mem2(X_1681,X_1680,L_s829) )
=> mem2(L_s830,X_1680,L_s828) )
& ! [L_s834: $int] :
( ! [X_1684: $int] :
( ! [X_1685: $int] :
( ? [X_1686: $int] : mem2(X_1685,X_1686,L_s829)
<=> ( $greatereq(X_1685,1)
& $lesseq(X_1685,X_1684) ) )
=> ( $greatereq(L_s834,2)
& $lesseq(L_s834,$difference(X_1684,1)) ) )
=> ? [X_1687: $int] :
! [X_1688: $int] :
( mem2(L_s834,X_1688,L_s829)
=> mem2(X_1687,X_1688,L_s828) ) ) )
=> ! [X_1689: set_0,X_1690: set_0] :
( ( ! [X_1691: $int] :
( mem0(X_1691,X_1689)
<=> ? [X_1692: $int] :
( $greatereq(X_1692,1)
& $lesseq(X_1692,$difference(L_s830,1))
& ! [X_1693: $int] :
( mem2(X_1692,X_1693,L_s828)
=> mem2(X_1693,X_1691,g_s808_799) ) ) )
& ! [X_1694: $int] :
( mem0(X_1694,X_1690)
<=> ? [X_1695: $int] :
( ! [X_1696: $int] :
( ! [X_1697: $int] :
( ? [X_1698: $int] : mem2(X_1697,X_1698,L_s829)
<=> ( $greatereq(X_1697,1)
& $lesseq(X_1697,X_1696) ) )
=> ( $greatereq(X_1695,1)
& $lesseq(X_1695,$difference(X_1696,1)) ) )
& ! [X_1699: $int] :
( mem2(X_1695,X_1699,L_s829)
=> mem2(X_1699,X_1694,g_s808_799) ) ) ) )
=> ( isum(X_1689) = isum(X_1690) ) ) ) ).
tff('Define:ctx:1194',axiom,
! [X_1700: $int,X_1701: $int] :
( ? [X_1702: set_0] : mem8(X_1701,X_1700,X_1702,g_s812_803)
<=> ? [X_1703: set_0] : mem8(X_1701,X_1700,X_1703,g_s811_802) ) ).
tff('Define:ctx:1195',axiom,
! [L_s835: prod_0] :
( mem2(g__s835_2_816,g__s835_1_817,g_s810_801)
=> ! [X_1704: $int] :
( ( ! [X_1705: set_0] :
( mem8(g__s835_2_816,g__s835_1_817,X_1705,g_s812_803)
=> mem0(X_1704,X_1705) )
& mem0(X_1704,g_s836_818) )
<=> $false ) ) ).
tff('Define:ctx:1196',axiom,
( mem0(g_s816_807,g_s593_584)
& ! [X_1706: $int] :
( mem0(X_1706,g_s593_584)
=> $lesseq(g_s816_807,X_1706) ) ) ).
tff('Define:ctx:1197',axiom,
( mem0(g_s817_808,g_s593_584)
& ! [X_1707: $int] :
( mem0(X_1707,g_s593_584)
=> $greatereq(g_s817_808,X_1707) ) ) ).
tff('Define:ctx:1198',axiom,
! [X_1708: $int] :
( ( $greatereq(X_1708,g_s816_807)
& $lesseq(X_1708,g_s817_808) )
=> mem0(X_1708,g_s593_584) ) ).
tff('Define:ctx:1199',axiom,
? [X_1709: set_9] :
( ! [X_1710: $o,X_1711: $int,X_1712: $int,X_1713: $o,X_1714: $int,X_1715: $o,X_1716: $int,X_1717: $int] :
( mem9(X_1717,X_1716,(X_1715),X_1714,(X_1713),X_1712,X_1711,(X_1710),X_1709)
<=> mem9(X_1717,X_1716,(X_1715),X_1714,(X_1713),X_1712,X_1711,(X_1710),g_s837_819) )
& ! [X_1718: $int,X_1719: $int,X_1720: $o,X_1721: $int,X_1722: $o,X_1723: $int,X_1724: $int,X_1725: $o,X_1726: $o] :
( ( mem9(X_1724,X_1723,(X_1722),X_1721,(X_1720),X_1719,X_1718,(X_1725),X_1709)
& mem9(X_1724,X_1723,(X_1722),X_1721,(X_1720),X_1719,X_1718,(X_1726),X_1709) )
=> ( (X_1725)
<=> (X_1726) ) )
& ! [X_1727: $int,X_1728: $int,X_1729: $o,X_1730: $int,X_1731: $o,X_1732: $int,X_1733: $int] :
( ( mem0(X_1733,g_s389_380)
& mem0(X_1732,g_s389_380)
& mem3((X_1731),g_s420_411)
& mem0(X_1730,g_s389_380)
& mem3((X_1729),g_s420_411)
& mem0(X_1728,g_s389_380)
& mem0(X_1727,g_s389_380) )
<=> ? [X_1734: $o] : mem9(X_1733,X_1732,(X_1731),X_1730,(X_1729),X_1728,X_1727,(X_1734),X_1709) )
& ! [X_1735: $o] :
( ? [X_1736: $int,X_1737: $int,X_1738: $o,X_1739: $int,X_1740: $o,X_1741: $int,X_1742: $int] : mem9(X_1742,X_1741,(X_1740),X_1739,(X_1738),X_1737,X_1736,(X_1735),X_1709)
=> mem3((X_1735),g_s420_411) ) ) ).
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 )
| ( X_17 = g_s55_55 ) ) )
& ( g_s52_52 != g_s53_53 )
& ( g_s53_53 != g_s54_54 )
& ( g_s54_54 != g_s55_55 ) ) ).
tff('Define:ctx:120',axiom,
! [X_503: $o,X_504: $int,X_505: $int] :
( mem6(X_505,X_504,(X_503),g_s266_261)
<=> mem6(X_505,X_504,(X_503),g_s264_259) ) ).
tff('Define:ctx:1200',axiom,
? [X_1743: set_10] :
( ! [X_1744: $o,X_1745: $int,X_1746: $int,X_1747: $o,X_1748: $int,X_1749: $o,X_1750: $int,X_1751: $int,X_1752: $int] :
( mem10(X_1752,X_1751,X_1750,(X_1749),X_1748,(X_1747),X_1746,X_1745,(X_1744),X_1743)
<=> mem10(X_1752,X_1751,X_1750,(X_1749),X_1748,(X_1747),X_1746,X_1745,(X_1744),g_s838_820) )
& ! [X_1753: $int,X_1754: $int,X_1755: $o,X_1756: $int,X_1757: $o,X_1758: $int,X_1759: $int,X_1760: $int,X_1761: $o,X_1762: $o] :
( ( mem10(X_1760,X_1759,X_1758,(X_1757),X_1756,(X_1755),X_1754,X_1753,(X_1761),X_1743)
& mem10(X_1760,X_1759,X_1758,(X_1757),X_1756,(X_1755),X_1754,X_1753,(X_1762),X_1743) )
=> ( (X_1761)
<=> (X_1762) ) )
& ! [X_1763: $int,X_1764: $int,X_1765: $o,X_1766: $int,X_1767: $o,X_1768: $int,X_1769: $int,X_1770: $int] :
( ( mem0(X_1770,g_s389_380)
& mem0(X_1769,g_s389_380)
& mem0(X_1768,g_s389_380)
& mem3((X_1767),g_s420_411)
& mem0(X_1766,g_s389_380)
& mem3((X_1765),g_s420_411)
& mem0(X_1764,g_s389_380)
& mem0(X_1763,g_s389_380) )
<=> ? [X_1771: $o] : mem10(X_1770,X_1769,X_1768,(X_1767),X_1766,(X_1765),X_1764,X_1763,(X_1771),X_1743) )
& ! [X_1772: $o] :
( ? [X_1773: $int,X_1774: $int,X_1775: $o,X_1776: $int,X_1777: $o,X_1778: $int,X_1779: $int,X_1780: $int] : mem10(X_1780,X_1779,X_1778,(X_1777),X_1776,(X_1775),X_1774,X_1773,(X_1772),X_1743)
=> mem3((X_1772),g_s420_411) ) ) ).
tff('Define:ctx:1201',axiom,
? [X_1781: set_6] :
( ! [X_1782: $o,X_1783: $int,X_1784: $int] :
( mem6(X_1784,X_1783,(X_1782),X_1781)
<=> mem6(X_1784,X_1783,(X_1782),g_s839_821) )
& ! [X_1785: $int,X_1786: $int,X_1787: $o,X_1788: $o] :
( ( mem6(X_1786,X_1785,(X_1787),X_1781)
& mem6(X_1786,X_1785,(X_1788),X_1781) )
=> ( (X_1787)
<=> (X_1788) ) )
& ! [X_1789: $int,X_1790: $int] :
( ( mem0(X_1790,g_s717_708)
& mem0(X_1789,g_s389_380) )
<=> ? [X_1791: $o] : mem6(X_1790,X_1789,(X_1791),X_1781) )
& ! [X_1792: $o] :
( ? [X_1793: $int,X_1794: $int] : mem6(X_1794,X_1793,(X_1792),X_1781)
=> mem3((X_1792),g_s420_411) ) ) ).
tff('Define:ctx:1202',axiom,
? [X_1795: set_11] :
( ! [X_1796: $int,X_1797: $o,X_1798: $int,X_1799: $int,X_1800: $o,X_1801: $int,X_1802: $o,X_1803: $int,X_1804: $int,X_1805: $int] :
( mem11(X_1805,X_1804,X_1803,(X_1802),X_1801,(X_1800),X_1799,X_1798,(X_1797),X_1796,X_1795)
<=> mem11(X_1805,X_1804,X_1803,(X_1802),X_1801,(X_1800),X_1799,X_1798,(X_1797),X_1796,g_s840_822) )
& ! [X_1806: $o,X_1807: $int,X_1808: $int,X_1809: $o,X_1810: $int,X_1811: $o,X_1812: $int,X_1813: $int,X_1814: $int,X_1815: $int,X_1816: $int] :
( ( mem11(X_1814,X_1813,X_1812,(X_1811),X_1810,(X_1809),X_1808,X_1807,(X_1806),X_1815,X_1795)
& mem11(X_1814,X_1813,X_1812,(X_1811),X_1810,(X_1809),X_1808,X_1807,(X_1806),X_1816,X_1795) )
=> ( X_1815 = X_1816 ) )
& ! [X_1817: $o,X_1818: $int,X_1819: $int,X_1820: $o,X_1821: $int,X_1822: $o,X_1823: $int,X_1824: $int,X_1825: $int] :
( ( mem0(X_1825,g_s389_380)
& mem0(X_1824,g_s389_380)
& mem0(X_1823,g_s389_380)
& mem3((X_1822),g_s420_411)
& mem0(X_1821,g_s389_380)
& mem3((X_1820),g_s420_411)
& mem0(X_1819,g_s389_380)
& mem0(X_1818,g_s389_380)
& mem3((X_1817),g_s420_411) )
<=> ? [X_1826: $int] : mem11(X_1825,X_1824,X_1823,(X_1822),X_1821,(X_1820),X_1819,X_1818,(X_1817),X_1826,X_1795) )
& ! [X_1827: $int] :
( ? [X_1828: $o,X_1829: $int,X_1830: $int,X_1831: $o,X_1832: $int,X_1833: $o,X_1834: $int,X_1835: $int,X_1836: $int] : mem11(X_1836,X_1835,X_1834,(X_1833),X_1832,(X_1831),X_1830,X_1829,(X_1828),X_1827,X_1795)
=> mem0(X_1827,g_s389_380) ) ) ).
tff('Define:ctx:1203',axiom,
! [X_1837: $o,X_1838: $int,X_1839: $int] :
( mem6(X_1839,X_1838,(X_1837),g_s839_821)
<=> ( mem0(X_1839,g_s717_708)
& mem0(X_1838,g_s389_380)
& ( ( ( X_1839 = 1 )
& ( (X_1837)
<=> $lesseq(X_1838,1073741823) ) )
| ( ( X_1839 = 2 )
& ( (X_1837)
<=> $greatereq(X_1838,1073741824) ) ) ) ) ) ).
tff('Define:ctx:1204',axiom,
! [X_1840: $o,X_1841: $int,X_1842: $int,X_1843: $o,X_1844: $int,X_1845: $o,X_1846: $int,X_1847: $int] :
( mem9(X_1847,X_1846,(X_1845),X_1844,(X_1843),X_1842,X_1841,(X_1840),g_s837_819)
<=> ( mem0(X_1847,g_s389_380)
& mem0(X_1846,g_s389_380)
& mem3((X_1845),g_s420_411)
& mem0(X_1844,g_s389_380)
& mem3((X_1843),g_s420_411)
& mem0(X_1842,g_s389_380)
& mem0(X_1841,g_s389_380)
& ( ( ( (X_1845)
<=> $true )
& ( (X_1840)
<=> ( $less($difference(X_1844,X_1847),X_1846)
& $greater(X_1844,X_1847) ) ) )
| ( ( (X_1845)
<=> $false )
& ( (X_1840)
<=> ( ( (X_1843)
<=> $true )
& $less(X_1847,X_1842)
& $less($difference(X_1841,X_1847),X_1846) ) ) ) ) ) ) ).
tff('Define:ctx:1205',axiom,
! [X_1848: $o,X_1849: $int,X_1850: $int,X_1851: $o,X_1852: $int,X_1853: $o,X_1854: $int,X_1855: $int,X_1856: $int] :
( mem10(X_1856,X_1855,X_1854,(X_1853),X_1852,(X_1851),X_1850,X_1849,(X_1848),g_s838_820)
<=> ( mem0(X_1856,g_s389_380)
& mem0(X_1854,g_s389_380)
& mem0(X_1855,g_s389_380)
& mem3((X_1853),g_s420_411)
& mem0(X_1852,g_s389_380)
& mem3((X_1851),g_s420_411)
& mem0(X_1850,g_s389_380)
& mem0(X_1849,g_s389_380)
& ( ( ( (X_1853)
<=> $true )
& ( (X_1848)
<=> ( $less($difference(X_1852,X_1856),X_1854)
& $greater(X_1852,X_1856)
& $greatereq(X_1856,X_1855) ) ) )
| ( ( (X_1853)
<=> $false )
& ( (X_1848)
<=> ( ( (X_1851)
<=> $true )
& $less(X_1856,X_1850)
& $less($difference(X_1849,X_1856),X_1854)
& $greatereq($difference(X_1852,$difference(X_1849,X_1856)),X_1855) ) ) ) ) ) ) ).
tff('Define:ctx:1206',axiom,
! [X_1857: $int,X_1858: $o,X_1859: $int,X_1860: $int,X_1861: $o,X_1862: $int,X_1863: $o,X_1864: $int,X_1865: $int,X_1866: $int] :
( mem11(X_1866,X_1865,X_1864,(X_1863),X_1862,(X_1861),X_1860,X_1859,(X_1858),X_1857,g_s840_822)
<=> ( mem0(X_1866,g_s389_380)
& mem0(X_1864,g_s389_380)
& mem0(X_1865,g_s389_380)
& mem3((X_1863),g_s420_411)
& mem0(X_1862,g_s389_380)
& mem3((X_1861),g_s420_411)
& mem0(X_1860,g_s389_380)
& mem0(X_1859,g_s389_380)
& mem3((X_1858),g_s420_411)
& ( ( ( (X_1858)
<=> $true )
& ( ( ( (X_1863)
<=> $true )
& ( X_1857 = X_1866 ) )
| ( ( (X_1863)
<=> $false )
& ( X_1857 = $difference(X_1862,$difference(X_1859,X_1866)) ) ) ) )
| ( ( (X_1858)
<=> $false )
& ( X_1857 = X_1865 ) ) ) ) ) ).
tff('Define:ctx:1207',axiom,
? [X_1867: set_2] :
( ! [X_1868: $int,X_1869: $int] :
( mem2(X_1869,X_1868,X_1867)
<=> mem2(X_1869,X_1868,g_s850_823) )
& ! [X_1870: $int,X_1871: $int,X_1872: $int] :
( ( mem2(X_1870,X_1871,X_1867)
& mem2(X_1870,X_1872,X_1867) )
=> ( X_1871 = X_1872 ) )
& ! [X_1873: $int] :
( mem0(X_1873,g_s599_590)
<=> ? [X_1874: $int] : mem2(X_1873,X_1874,X_1867) )
& ! [X_1875: $int] :
( ? [X_1876: $int] : mem2(X_1876,X_1875,X_1867)
=> mem0(X_1875,g_s32_32) ) ) ).
tff('Define:ctx:1208',axiom,
? [X_1877: set_7] :
( ! [X_1878: $int,X_1879: $int,X_1880: $int] :
( mem7(X_1880,X_1879,X_1878,X_1877)
<=> mem7(X_1880,X_1879,X_1878,g_s851_824) )
& ! [X_1881: $int,X_1882: $int,X_1883: $int,X_1884: $int] :
( ( mem7(X_1882,X_1881,X_1883,X_1877)
& mem7(X_1882,X_1881,X_1884,X_1877) )
=> ( X_1883 = X_1884 ) )
& ! [X_1885: $int,X_1886: $int] :
( ( mem0(X_1886,g_s599_590)
& mem0(X_1885,g_s380_371) )
<=> ? [X_1887: $int] : mem7(X_1886,X_1885,X_1887,X_1877) )
& ! [X_1888: $int] :
( ? [X_1889: $int,X_1890: $int] : mem7(X_1890,X_1889,X_1888,X_1877)
=> mem0(X_1888,g_s638_629) ) ) ).
tff('Define:ctx:1209',axiom,
? [X_1891: set_7] :
( ! [X_1892: $int,X_1893: $int,X_1894: $int] :
( mem7(X_1894,X_1893,X_1892,X_1891)
<=> mem7(X_1894,X_1893,X_1892,g_s852_825) )
& ! [X_1895: $int,X_1896: $int,X_1897: $int,X_1898: $int] :
( ( mem7(X_1896,X_1895,X_1897,X_1891)
& mem7(X_1896,X_1895,X_1898,X_1891) )
=> ( X_1897 = X_1898 ) )
& ! [X_1899: $int,X_1900: $int] :
( ( mem0(X_1900,g_s601_592)
& mem0(X_1899,g_s396_387) )
<=> ? [X_1901: $int] : mem7(X_1900,X_1899,X_1901,X_1891) )
& ! [X_1902: $int] :
( ? [X_1903: $int,X_1904: $int] : mem7(X_1904,X_1903,X_1902,X_1891)
=> mem0(X_1902,g_s639_630) ) ) ).
tff('Define:ctx:121',axiom,
? [X_506: set_4] :
( ! [X_507: $o,X_508: $o] :
( mem4((X_508),(X_507),X_506)
<=> mem4((X_508),(X_507),g_s267_262) )
& ! [X_509: $o,X_510: $o,X_511: $o] :
( ( mem4((X_509),(X_510),X_506)
& mem4((X_509),(X_511),X_506) )
=> ( (X_510)
<=> (X_511) ) )
& ! [X_512: $o] :
( $true
<=> ? [X_513: $o] : mem4((X_512),(X_513),X_506) )
& ! [X_514: $o] :
( ? [X_515: $o] : mem4((X_515),(X_514),X_506)
=> $true ) ) ).
tff('Define:ctx:1210',axiom,
? [X_1905: set_7] :
( ! [X_1906: $int,X_1907: $int,X_1908: $int] :
( mem7(X_1908,X_1907,X_1906,X_1905)
<=> mem7(X_1908,X_1907,X_1906,g_s853_826) )
& ! [X_1909: $int,X_1910: $int,X_1911: $int,X_1912: $int] :
( ( mem7(X_1910,X_1909,X_1911,X_1905)
& mem7(X_1910,X_1909,X_1912,X_1905) )
=> ( X_1911 = X_1912 ) )
& ! [X_1913: $int,X_1914: $int] :
( ( mem0(X_1914,g_s599_590)
& mem0(X_1913,g_s380_371) )
<=> ? [X_1915: $int] : mem7(X_1914,X_1913,X_1915,X_1905) )
& ! [X_1916: $int] :
( ? [X_1917: $int,X_1918: $int] : mem7(X_1918,X_1917,X_1916,X_1905)
=> mem0(X_1916,g_s605_596) ) ) ).
tff('Define:ctx:1211',axiom,
? [X_1919: set_7] :
( ! [X_1920: $int,X_1921: $int,X_1922: $int] :
( mem7(X_1922,X_1921,X_1920,X_1919)
<=> mem7(X_1922,X_1921,X_1920,g_s854_827) )
& ! [X_1923: $int,X_1924: $int,X_1925: $int,X_1926: $int] :
( ( mem7(X_1924,X_1923,X_1925,X_1919)
& mem7(X_1924,X_1923,X_1926,X_1919) )
=> ( X_1925 = X_1926 ) )
& ! [X_1927: $int,X_1928: $int] :
( ( mem0(X_1928,g_s601_592)
& mem0(X_1927,g_s396_387) )
<=> ? [X_1929: $int] : mem7(X_1928,X_1927,X_1929,X_1919) )
& ! [X_1930: $int] :
( ? [X_1931: $int,X_1932: $int] : mem7(X_1932,X_1931,X_1930,X_1919)
=> mem0(X_1930,g_s606_597) ) ) ).
tff('Define:ctx:1212',axiom,
? [X_1933: set_2] :
( ! [X_1934: $int,X_1935: $int] :
( mem2(X_1935,X_1934,X_1933)
<=> mem2(X_1935,X_1934,g_s855_828) )
& ! [X_1936: $int,X_1937: $int,X_1938: $int] :
( ( mem2(X_1936,X_1937,X_1933)
& mem2(X_1936,X_1938,X_1933) )
=> ( X_1937 = X_1938 ) )
& ! [X_1939: $int] :
( mem0(X_1939,g_s601_592)
<=> ? [X_1940: $int] : mem2(X_1939,X_1940,X_1933) )
& ! [X_1941: $int] :
( ? [X_1942: $int] : mem2(X_1942,X_1941,X_1933)
=> mem0(X_1941,g_s639_630) ) ) ).
tff('Define:ctx:1213',axiom,
? [X_1943: set_2] :
( ! [X_1944: $int,X_1945: $int] :
( mem2(X_1945,X_1944,X_1943)
<=> mem2(X_1945,X_1944,g_s856_829) )
& ! [X_1946: $int,X_1947: $int,X_1948: $int] :
( ( mem2(X_1946,X_1947,X_1943)
& mem2(X_1946,X_1948,X_1943) )
=> ( X_1947 = X_1948 ) )
& ! [X_1949: $int] :
( mem0(X_1949,g_s599_590)
<=> ? [X_1950: $int] : mem2(X_1949,X_1950,X_1943) )
& ! [X_1951: $int] :
( ? [X_1952: $int] : mem2(X_1952,X_1951,X_1943)
=> mem0(X_1951,g_s640_631) ) ) ).
tff('Define:ctx:1214',axiom,
? [X_1953: set_2] :
( ! [X_1954: $int,X_1955: $int] :
( mem2(X_1955,X_1954,X_1953)
<=> mem2(X_1955,X_1954,g_s857_830) )
& ! [X_1956: $int,X_1957: $int,X_1958: $int] :
( ( mem2(X_1956,X_1957,X_1953)
& mem2(X_1956,X_1958,X_1953) )
=> ( X_1957 = X_1958 ) )
& ! [X_1959: $int] :
( mem0(X_1959,g_s601_592)
<=> ? [X_1960: $int] : mem2(X_1959,X_1960,X_1953) )
& ! [X_1961: $int] :
( ? [X_1962: $int] : mem2(X_1962,X_1961,X_1953)
=> mem0(X_1961,g_s640_631) ) ) ).
tff('Define:ctx:1215',axiom,
? [X_1963: set_2] :
( ! [X_1964: $int,X_1965: $int] :
( mem2(X_1965,X_1964,X_1963)
<=> mem2(X_1965,X_1964,g_s858_831) )
& ! [X_1966: $int,X_1967: $int,X_1968: $int] :
( ( mem2(X_1966,X_1967,X_1963)
& mem2(X_1966,X_1968,X_1963) )
=> ( X_1967 = X_1968 ) )
& ! [X_1969: $int] :
( mem0(X_1969,g_s599_590)
<=> ? [X_1970: $int] : mem2(X_1969,X_1970,X_1963) )
& ! [X_1971: $int] :
( ? [X_1972: $int] : mem2(X_1972,X_1971,X_1963)
=> mem0(X_1971,g_s605_596) ) ) ).
tff('Define:ctx:1216',axiom,
? [X_1973: set_2] :
( ! [X_1974: $int,X_1975: $int] :
( mem2(X_1975,X_1974,X_1973)
<=> mem2(X_1975,X_1974,g_s859_832) )
& ! [X_1976: $int,X_1977: $int,X_1978: $int] :
( ( mem2(X_1976,X_1977,X_1973)
& mem2(X_1976,X_1978,X_1973) )
=> ( X_1977 = X_1978 ) )
& ! [X_1979: $int] :
( mem0(X_1979,g_s601_592)
<=> ? [X_1980: $int] : mem2(X_1979,X_1980,X_1973) )
& ! [X_1981: $int] :
( ? [X_1982: $int] : mem2(X_1982,X_1981,X_1973)
=> mem0(X_1981,g_s606_597) ) ) ).
tff('Define:ctx:1217',axiom,
? [X_1983: set_2] :
( ! [X_1984: $int,X_1985: $int] :
( mem2(X_1985,X_1984,X_1983)
<=> mem2(X_1985,X_1984,g_s860_833) )
& ! [X_1986: $int,X_1987: $int,X_1988: $int] :
( ( mem2(X_1986,X_1987,X_1983)
& mem2(X_1986,X_1988,X_1983) )
=> ( X_1987 = X_1988 ) )
& ! [X_1989: $int] :
( mem0(X_1989,g_s599_590)
<=> ? [X_1990: $int] : mem2(X_1989,X_1990,X_1983) )
& ! [X_1991: $int] :
( ? [X_1992: $int] : mem2(X_1992,X_1991,X_1983)
=> mem0(X_1991,g_s637_628) ) ) ).
tff('Define:ctx:1218',axiom,
? [X_1993: set_2] :
( ! [X_1994: $int,X_1995: $int] :
( mem2(X_1995,X_1994,X_1993)
<=> mem2(X_1995,X_1994,g_s861_834) )
& ! [X_1996: $int,X_1997: $int,X_1998: $int] :
( ( mem2(X_1996,X_1997,X_1993)
& mem2(X_1996,X_1998,X_1993) )
=> ( X_1997 = X_1998 ) )
& ! [X_1999: $int] :
( mem0(X_1999,g_s599_590)
<=> ? [X_2000: $int] : mem2(X_1999,X_2000,X_1993) )
& ! [X_2001: $int] :
( ? [X_2002: $int] : mem2(X_2002,X_2001,X_1993)
=> mem0(X_2001,g_s605_596) ) ) ).
tff('Define:ctx:1219',axiom,
? [X_2003: set_2] :
( ! [X_2004: $int,X_2005: $int] :
( mem2(X_2005,X_2004,X_2003)
<=> mem2(X_2005,X_2004,g_s862_835) )
& ! [X_2006: $int,X_2007: $int,X_2008: $int] :
( ( mem2(X_2006,X_2007,X_2003)
& mem2(X_2006,X_2008,X_2003) )
=> ( X_2007 = X_2008 ) )
& ! [X_2009: $int] :
( mem0(X_2009,g_s638_629)
<=> ? [X_2010: $int] : mem2(X_2009,X_2010,X_2003) )
& ! [X_2011: $int] :
( ? [X_2012: $int] : mem2(X_2012,X_2011,X_2003)
=> mem0(X_2011,g_s590_581) ) ) ).
tff('Define:ctx:122',axiom,
! [X_516: $o,X_517: $o] :
( mem4((X_517),(X_516),g_s267_262)
<=> ( $true
& ( (X_516)
<=> (X_517) ) ) ) ).
tff('Define:ctx:1220',axiom,
? [X_2013: set_2] :
( ! [X_2014: $int,X_2015: $int] :
( mem2(X_2015,X_2014,X_2013)
<=> mem2(X_2015,X_2014,g_s863_836) )
& ! [X_2016: $int,X_2017: $int,X_2018: $int] :
( ( mem2(X_2016,X_2017,X_2013)
& mem2(X_2016,X_2018,X_2013) )
=> ( X_2017 = X_2018 ) )
& ! [X_2019: $int] :
( mem0(X_2019,g_s638_629)
<=> ? [X_2020: $int] : mem2(X_2019,X_2020,X_2013) )
& ! [X_2021: $int] :
( ? [X_2022: $int] : mem2(X_2022,X_2021,X_2013)
=> mem0(X_2021,g_s380_371) ) ) ).
tff('Define:ctx:1221',axiom,
? [X_2023: set_2] :
( ! [X_2024: $int,X_2025: $int] :
( mem2(X_2025,X_2024,X_2023)
<=> mem2(X_2025,X_2024,g_s864_837) )
& ! [X_2026: $int,X_2027: $int,X_2028: $int] :
( ( mem2(X_2026,X_2027,X_2023)
& mem2(X_2026,X_2028,X_2023) )
=> ( X_2027 = X_2028 ) )
& ! [X_2029: $int] :
( mem0(X_2029,g_s639_630)
<=> ? [X_2030: $int] : mem2(X_2029,X_2030,X_2023) )
& ! [X_2031: $int] :
( ? [X_2032: $int] : mem2(X_2032,X_2031,X_2023)
=> mem0(X_2031,g_s592_583) ) ) ).
tff('Define:ctx:1222',axiom,
? [X_2033: set_2] :
( ! [X_2034: $int,X_2035: $int] :
( mem2(X_2035,X_2034,X_2033)
<=> mem2(X_2035,X_2034,g_s865_838) )
& ! [X_2036: $int,X_2037: $int,X_2038: $int] :
( ( mem2(X_2036,X_2037,X_2033)
& mem2(X_2036,X_2038,X_2033) )
=> ( X_2037 = X_2038 ) )
& ! [X_2039: $int] :
( mem0(X_2039,g_s639_630)
<=> ? [X_2040: $int] : mem2(X_2039,X_2040,X_2033) )
& ! [X_2041: $int] :
( ? [X_2042: $int] : mem2(X_2042,X_2041,X_2033)
=> mem0(X_2041,g_s396_387) ) ) ).
tff('Define:ctx:1223',axiom,
? [X_2043: set_2] :
( ! [X_2044: $int,X_2045: $int] :
( mem2(X_2045,X_2044,X_2043)
<=> mem2(X_2045,X_2044,g_s866_839) )
& ! [X_2046: $int,X_2047: $int,X_2048: $int] :
( ( mem2(X_2046,X_2047,X_2043)
& mem2(X_2046,X_2048,X_2043) )
=> ( X_2047 = X_2048 ) )
& ! [X_2049: $int] :
( mem0(X_2049,g_s638_629)
<=> ? [X_2050: $int] : mem2(X_2049,X_2050,X_2043) )
& ! [X_2051: $int] :
( ? [X_2052: $int] : mem2(X_2052,X_2051,X_2043)
=> mem0(X_2051,g_s385_376) ) ) ).
tff('Define:ctx:1224',axiom,
? [X_2053: set_2] :
( ! [X_2054: $int,X_2055: $int] :
( mem2(X_2055,X_2054,X_2053)
<=> mem2(X_2055,X_2054,g_s867_840) )
& ! [X_2056: $int,X_2057: $int,X_2058: $int] :
( ( mem2(X_2056,X_2057,X_2053)
& mem2(X_2056,X_2058,X_2053) )
=> ( X_2057 = X_2058 ) )
& ! [X_2059: $int] :
( mem0(X_2059,g_s639_630)
<=> ? [X_2060: $int] : mem2(X_2059,X_2060,X_2053) )
& ! [X_2061: $int] :
( ? [X_2062: $int] : mem2(X_2062,X_2061,X_2053)
=> mem0(X_2061,g_s386_377) ) ) ).
tff('Define:ctx:1225',axiom,
? [X_2063: set_2] :
( ! [X_2064: $int,X_2065: $int] :
( mem2(X_2065,X_2064,X_2063)
<=> mem2(X_2065,X_2064,g_s868_841) )
& ! [X_2066: $int,X_2067: $int,X_2068: $int] :
( ( mem2(X_2066,X_2067,X_2063)
& mem2(X_2066,X_2068,X_2063) )
=> ( X_2067 = X_2068 ) )
& ! [X_2069: $int] :
( mem0(X_2069,g_s638_629)
<=> ? [X_2070: $int] : mem2(X_2069,X_2070,X_2063) )
& ! [X_2071: $int] :
( ? [X_2072: $int] : mem2(X_2072,X_2071,X_2063)
=> mem0(X_2071,g_s385_376) ) ) ).
tff('Define:ctx:1226',axiom,
? [X_2073: set_2] :
( ! [X_2074: $int,X_2075: $int] :
( mem2(X_2075,X_2074,X_2073)
<=> mem2(X_2075,X_2074,g_s869_842) )
& ! [X_2076: $int,X_2077: $int,X_2078: $int] :
( ( mem2(X_2076,X_2077,X_2073)
& mem2(X_2076,X_2078,X_2073) )
=> ( X_2077 = X_2078 ) )
& ! [X_2079: $int] :
( mem0(X_2079,g_s639_630)
<=> ? [X_2080: $int] : mem2(X_2079,X_2080,X_2073) )
& ! [X_2081: $int] :
( ? [X_2082: $int] : mem2(X_2082,X_2081,X_2073)
=> mem0(X_2081,g_s386_377) ) ) ).
tff('Define:ctx:1227',axiom,
? [X_2083: set_2] :
( ! [X_2084: $int,X_2085: $int] :
( mem2(X_2085,X_2084,X_2083)
<=> mem2(X_2085,X_2084,g_s870_843) )
& ! [X_2086: $int,X_2087: $int,X_2088: $int] :
( ( mem2(X_2086,X_2087,X_2083)
& mem2(X_2086,X_2088,X_2083) )
=> ( X_2087 = X_2088 ) )
& ! [X_2089: $int] :
( mem0(X_2089,g_s637_628)
<=> ? [X_2090: $int] : mem2(X_2089,X_2090,X_2083) )
& ! [X_2091: $int] :
( ? [X_2092: $int] : mem2(X_2092,X_2091,X_2083)
=> mem0(X_2091,g_s602_593) ) ) ).
tff('Define:ctx:1228',axiom,
? [X_2093: set_2] :
( ! [X_2094: $int,X_2095: $int] :
( mem2(X_2095,X_2094,X_2093)
<=> mem2(X_2095,X_2094,g_s871_844) )
& ! [X_2096: $int,X_2097: $int,X_2098: $int] :
( ( mem2(X_2096,X_2097,X_2093)
& mem2(X_2096,X_2098,X_2093) )
=> ( X_2097 = X_2098 ) )
& ! [X_2099: $int] :
( mem0(X_2099,g_s637_628)
<=> ? [X_2100: $int] : mem2(X_2099,X_2100,X_2093) )
& ! [X_2101: $int] :
( ? [X_2102: $int] : mem2(X_2102,X_2101,X_2093)
=> mem0(X_2101,g_s380_371) ) ) ).
tff('Define:ctx:1229',axiom,
? [X_2103: set_2] :
( ! [X_2104: $int,X_2105: $int] :
( mem2(X_2105,X_2104,X_2103)
<=> mem2(X_2105,X_2104,g_s872_845) )
& ! [X_2106: $int,X_2107: $int,X_2108: $int] :
( ( mem2(X_2106,X_2107,X_2103)
& mem2(X_2106,X_2108,X_2103) )
=> ( X_2107 = X_2108 ) )
& ! [X_2109: $int] :
( mem0(X_2109,g_s640_631)
<=> ? [X_2110: $int] : mem2(X_2109,X_2110,X_2103) )
& ! [X_2111: $int] :
( ? [X_2112: $int] : mem2(X_2112,X_2111,X_2103)
=> mem0(X_2111,g_s599_590) ) ) ).
tff('Define:ctx:123',axiom,
? [X_518: set_4] :
( ! [X_519: $o,X_520: $o] :
( mem4((X_520),(X_519),X_518)
<=> mem4((X_520),(X_519),g_s268_263) )
& ! [X_521: $o,X_522: $o,X_523: $o] :
( ( mem4((X_521),(X_522),X_518)
& mem4((X_521),(X_523),X_518) )
=> ( (X_522)
<=> (X_523) ) )
& ! [X_524: $o] :
( $true
<=> ? [X_525: $o] : mem4((X_524),(X_525),X_518) )
& ! [X_526: $o] :
( ? [X_527: $o] : mem4((X_527),(X_526),X_518)
=> $true ) ) ).
tff('Define:ctx:1230',axiom,
? [X_2113: set_2] :
( ! [X_2114: $int,X_2115: $int] :
( mem2(X_2115,X_2114,X_2113)
<=> mem2(X_2115,X_2114,g_s873_846) )
& ! [X_2116: $int,X_2117: $int,X_2118: $int] :
( ( mem2(X_2116,X_2117,X_2113)
& mem2(X_2116,X_2118,X_2113) )
=> ( X_2117 = X_2118 ) )
& ! [X_2119: $int] :
( mem0(X_2119,g_s641_632)
<=> ? [X_2120: $int] : mem2(X_2119,X_2120,X_2113) )
& ! [X_2121: $int] :
( ? [X_2122: $int] : mem2(X_2122,X_2121,X_2113)
=> mem0(X_2121,g_s601_592) ) ) ).
tff('Define:ctx:1231',axiom,
? [X_2123: set_2] :
( ! [X_2124: $int,X_2125: $int] :
( mem2(X_2125,X_2124,X_2123)
<=> mem2(X_2125,X_2124,g_s874_847) )
& ! [X_2126: $int,X_2127: $int,X_2128: $int] :
( ( mem2(X_2126,X_2127,X_2123)
& mem2(X_2126,X_2128,X_2123) )
=> ( X_2127 = X_2128 ) )
& ! [X_2129: $int] :
( mem0(X_2129,g_s640_631)
<=> ? [X_2130: $int] : mem2(X_2129,X_2130,X_2123) )
& ! [X_2131: $int] :
( ? [X_2132: $int] : mem2(X_2132,X_2131,X_2123)
=> mem0(X_2131,g_s380_371) ) ) ).
tff('Define:ctx:1232',axiom,
? [X_2133: set_2] :
( ! [X_2134: $int,X_2135: $int] :
( mem2(X_2135,X_2134,X_2133)
<=> mem2(X_2135,X_2134,g_s875_848) )
& ! [X_2136: $int,X_2137: $int,X_2138: $int] :
( ( mem2(X_2136,X_2137,X_2133)
& mem2(X_2136,X_2138,X_2133) )
=> ( X_2137 = X_2138 ) )
& ! [X_2139: $int] :
( mem0(X_2139,g_s641_632)
<=> ? [X_2140: $int] : mem2(X_2139,X_2140,X_2133) )
& ! [X_2141: $int] :
( ? [X_2142: $int] : mem2(X_2142,X_2141,X_2133)
=> mem0(X_2141,g_s396_387) ) ) ).
tff('Define:ctx:1233',axiom,
? [X_2143: set_2] :
( ! [X_2144: $int,X_2145: $int] :
( mem2(X_2145,X_2144,X_2143)
<=> mem2(X_2145,X_2144,g_s876_849) )
& ! [X_2146: $int,X_2147: $int,X_2148: $int] :
( ( mem2(X_2146,X_2147,X_2143)
& mem2(X_2146,X_2148,X_2143) )
=> ( X_2147 = X_2148 ) )
& ! [X_2149: $int] :
( mem0(X_2149,g_s640_631)
<=> ? [X_2150: $int] : mem2(X_2149,X_2150,X_2143) )
& ! [X_2151: $int] :
( ? [X_2152: $int] : mem2(X_2152,X_2151,X_2143)
=> mem0(X_2151,g_s877_850) ) ) ).
tff('Define:ctx:1234',axiom,
? [X_2153: set_2] :
( ! [X_2154: $int,X_2155: $int] :
( mem2(X_2155,X_2154,X_2153)
<=> mem2(X_2155,X_2154,g_s878_851) )
& ! [X_2156: $int,X_2157: $int,X_2158: $int] :
( ( mem2(X_2156,X_2157,X_2153)
& mem2(X_2156,X_2158,X_2153) )
=> ( X_2157 = X_2158 ) )
& ! [X_2159: $int] :
( mem0(X_2159,g_s641_632)
<=> ? [X_2160: $int] : mem2(X_2159,X_2160,X_2153) )
& ! [X_2161: $int] :
( ? [X_2162: $int] : mem2(X_2162,X_2161,X_2153)
=> mem0(X_2161,g_s879_852) ) ) ).
tff('Define:ctx:1235',axiom,
? [X_2163: set_2] :
( ! [X_2164: $int,X_2165: $int] :
( mem2(X_2165,X_2164,X_2163)
<=> mem2(X_2165,X_2164,g_s880_853) )
& ! [X_2166: $int,X_2167: $int,X_2168: $int] :
( ( mem2(X_2166,X_2167,X_2163)
& mem2(X_2166,X_2168,X_2163) )
=> ( X_2167 = X_2168 ) )
& ! [X_2169: $int] :
( mem0(X_2169,g_s640_631)
<=> ? [X_2170: $int] : mem2(X_2169,X_2170,X_2163) )
& ! [X_2171: $int] :
( ? [X_2172: $int] : mem2(X_2172,X_2171,X_2163)
=> mem0(X_2171,g_s387_378) ) ) ).
tff('Define:ctx:1236',axiom,
? [X_2173: set_2] :
( ! [X_2174: $int,X_2175: $int] :
( mem2(X_2175,X_2174,X_2173)
<=> mem2(X_2175,X_2174,g_s881_854) )
& ! [X_2176: $int,X_2177: $int,X_2178: $int] :
( ( mem2(X_2176,X_2177,X_2173)
& mem2(X_2176,X_2178,X_2173) )
=> ( X_2177 = X_2178 ) )
& ! [X_2179: $int] :
( mem0(X_2179,g_s641_632)
<=> ? [X_2180: $int] : mem2(X_2179,X_2180,X_2173) )
& ! [X_2181: $int] :
( ? [X_2182: $int] : mem2(X_2182,X_2181,X_2173)
=> mem0(X_2181,g_s386_377) ) ) ).
tff('Define:ctx:1237',axiom,
? [X_2183: set_2] :
( ! [X_2184: $int,X_2185: $int] :
( mem2(X_2185,X_2184,X_2183)
<=> mem2(X_2185,X_2184,g_s882_855) )
& ! [X_2186: $int,X_2187: $int,X_2188: $int] :
( ( mem2(X_2186,X_2187,X_2183)
& mem2(X_2186,X_2188,X_2183) )
=> ( X_2187 = X_2188 ) )
& ! [X_2189: $int] :
( mem0(X_2189,g_s640_631)
<=> ? [X_2190: $int] : mem2(X_2189,X_2190,X_2183) )
& ! [X_2191: $int] :
( ? [X_2192: $int] : mem2(X_2192,X_2191,X_2183)
=> mem0(X_2191,g_s387_378) ) ) ).
tff('Define:ctx:1238',axiom,
? [X_2193: set_2] :
( ! [X_2194: $int,X_2195: $int] :
( mem2(X_2195,X_2194,X_2193)
<=> mem2(X_2195,X_2194,g_s883_856) )
& ! [X_2196: $int,X_2197: $int,X_2198: $int] :
( ( mem2(X_2196,X_2197,X_2193)
& mem2(X_2196,X_2198,X_2193) )
=> ( X_2197 = X_2198 ) )
& ! [X_2199: $int] :
( mem0(X_2199,g_s641_632)
<=> ? [X_2200: $int] : mem2(X_2199,X_2200,X_2193) )
& ! [X_2201: $int] :
( ? [X_2202: $int] : mem2(X_2202,X_2201,X_2193)
=> mem0(X_2201,g_s386_377) ) ) ).
tff('Define:ctx:1239',axiom,
? [X_2203: set_12] :
( ! [X_2204: set_2,X_2205: $int,X_2206: $int] :
( mem12(X_2206,X_2205,X_2204,X_2203)
<=> mem12(X_2206,X_2205,X_2204,g_s884_857) )
& ! [X_2207: $int,X_2208: $int,X_2209: set_2,X_2210: set_2] :
( ( mem12(X_2208,X_2207,X_2209,X_2203)
& mem12(X_2208,X_2207,X_2210,X_2203) )
=> ! [X_2211: $int,X_2212: $int] :
( mem2(X_2212,X_2211,X_2209)
<=> mem2(X_2212,X_2211,X_2210) ) )
& ! [X_2213: $int,X_2214: $int] :
( ( mem0(X_2214,g_s599_590)
& mem0(X_2213,g_s380_371) )
<=> ? [X_2215: set_2] : mem12(X_2214,X_2213,X_2215,X_2203) )
& ! [X_2216: set_2] :
( ? [X_2217: $int,X_2218: $int] : mem12(X_2218,X_2217,X_2216,X_2203)
=> ? [X_2219: $int,X_2220: set_2] :
( ! [X_2221: $int,X_2222: $int] :
( mem2(X_2222,X_2221,X_2220)
<=> mem2(X_2222,X_2221,X_2216) )
& ! [X_2223: $int,X_2224: $int,X_2225: $int] :
( ( mem2(X_2223,X_2224,X_2220)
& mem2(X_2223,X_2225,X_2220) )
=> ( X_2224 = X_2225 ) )
& ! [X_2226: $int] :
( ( $greatereq(X_2226,1)
& $lesseq(X_2226,X_2219) )
<=> ? [X_2227: $int] : mem2(X_2226,X_2227,X_2220) )
& ! [X_2228: $int] :
( ? [X_2229: $int] : mem2(X_2229,X_2228,X_2220)
=> mem0(X_2228,g_s638_629) ) ) ) ) ).
tff('Define:ctx:124',axiom,
! [X_528: $o,X_529: $o] :
( mem4((X_529),(X_528),g_s268_263)
<=> ( $true
& ( (X_528)
<=> (X_529) ) ) ) ).
tff('Define:ctx:1240',axiom,
? [X_2230: set_12] :
( ! [X_2231: set_2,X_2232: $int,X_2233: $int] :
( mem12(X_2233,X_2232,X_2231,X_2230)
<=> mem12(X_2233,X_2232,X_2231,g_s885_858) )
& ! [X_2234: $int,X_2235: $int,X_2236: set_2,X_2237: set_2] :
( ( mem12(X_2235,X_2234,X_2236,X_2230)
& mem12(X_2235,X_2234,X_2237,X_2230) )
=> ! [X_2238: $int,X_2239: $int] :
( mem2(X_2239,X_2238,X_2236)
<=> mem2(X_2239,X_2238,X_2237) ) )
& ! [X_2240: $int,X_2241: $int] :
( ( mem0(X_2241,g_s601_592)
& mem0(X_2240,g_s396_387) )
<=> ? [X_2242: set_2] : mem12(X_2241,X_2240,X_2242,X_2230) )
& ! [X_2243: set_2] :
( ? [X_2244: $int,X_2245: $int] : mem12(X_2245,X_2244,X_2243,X_2230)
=> ? [X_2246: $int,X_2247: set_2] :
( ! [X_2248: $int,X_2249: $int] :
( mem2(X_2249,X_2248,X_2247)
<=> mem2(X_2249,X_2248,X_2243) )
& ! [X_2250: $int,X_2251: $int,X_2252: $int] :
( ( mem2(X_2250,X_2251,X_2247)
& mem2(X_2250,X_2252,X_2247) )
=> ( X_2251 = X_2252 ) )
& ! [X_2253: $int] :
( ( $greatereq(X_2253,1)
& $lesseq(X_2253,X_2246) )
<=> ? [X_2254: $int] : mem2(X_2253,X_2254,X_2247) )
& ! [X_2255: $int] :
( ? [X_2256: $int] : mem2(X_2256,X_2255,X_2247)
=> mem0(X_2255,g_s639_630) ) ) ) ) ).
tff('Define:ctx:1241',axiom,
? [X_2257: set_13] :
( ! [X_2258: set_2,X_2259: $int] :
( mem13(X_2259,X_2258,X_2257)
<=> mem13(X_2259,X_2258,g_s886_859) )
& ! [X_2260: $int,X_2261: set_2,X_2262: set_2] :
( ( mem13(X_2260,X_2261,X_2257)
& mem13(X_2260,X_2262,X_2257) )
=> ! [X_2263: $int,X_2264: $int] :
( mem2(X_2264,X_2263,X_2261)
<=> mem2(X_2264,X_2263,X_2262) ) )
& ! [X_2265: $int] :
( mem0(X_2265,g_s599_590)
<=> ? [X_2266: set_2] : mem13(X_2265,X_2266,X_2257) )
& ! [X_2267: set_2] :
( ? [X_2268: $int] : mem13(X_2268,X_2267,X_2257)
=> ? [X_2269: $int,X_2270: set_2] :
( ! [X_2271: $int,X_2272: $int] :
( mem2(X_2272,X_2271,X_2270)
<=> mem2(X_2272,X_2271,X_2267) )
& ! [X_2273: $int,X_2274: $int,X_2275: $int] :
( ( mem2(X_2273,X_2274,X_2270)
& mem2(X_2273,X_2275,X_2270) )
=> ( X_2274 = X_2275 ) )
& ! [X_2276: $int] :
( ( $greatereq(X_2276,1)
& $lesseq(X_2276,X_2269) )
<=> ? [X_2277: $int] : mem2(X_2276,X_2277,X_2270) )
& ! [X_2278: $int] :
( ? [X_2279: $int] : mem2(X_2279,X_2278,X_2270)
=> mem0(X_2278,g_s640_631) ) ) ) ) ).
tff('Define:ctx:1242',axiom,
? [X_2280: set_13] :
( ! [X_2281: set_2,X_2282: $int] :
( mem13(X_2282,X_2281,X_2280)
<=> mem13(X_2282,X_2281,g_s887_860) )
& ! [X_2283: $int,X_2284: set_2,X_2285: set_2] :
( ( mem13(X_2283,X_2284,X_2280)
& mem13(X_2283,X_2285,X_2280) )
=> ! [X_2286: $int,X_2287: $int] :
( mem2(X_2287,X_2286,X_2284)
<=> mem2(X_2287,X_2286,X_2285) ) )
& ! [X_2288: $int] :
( mem0(X_2288,g_s601_592)
<=> ? [X_2289: set_2] : mem13(X_2288,X_2289,X_2280) )
& ! [X_2290: set_2] :
( ? [X_2291: $int] : mem13(X_2291,X_2290,X_2280)
=> ? [X_2292: $int,X_2293: set_2] :
( ! [X_2294: $int,X_2295: $int] :
( mem2(X_2295,X_2294,X_2293)
<=> mem2(X_2295,X_2294,X_2290) )
& ! [X_2296: $int,X_2297: $int,X_2298: $int] :
( ( mem2(X_2296,X_2297,X_2293)
& mem2(X_2296,X_2298,X_2293) )
=> ( X_2297 = X_2298 ) )
& ! [X_2299: $int] :
( ( $greatereq(X_2299,1)
& $lesseq(X_2299,X_2292) )
<=> ? [X_2300: $int] : mem2(X_2299,X_2300,X_2293) )
& ! [X_2301: $int] :
( ? [X_2302: $int] : mem2(X_2302,X_2301,X_2293)
=> mem0(X_2301,g_s641_632) ) ) ) ) ).
tff('Define:ctx:1243',axiom,
? [X_2303: set_13] :
( ! [X_2304: set_2,X_2305: $int] :
( mem13(X_2305,X_2304,X_2303)
<=> mem13(X_2305,X_2304,g_s888_861) )
& ! [X_2306: $int,X_2307: set_2,X_2308: set_2] :
( ( mem13(X_2306,X_2307,X_2303)
& mem13(X_2306,X_2308,X_2303) )
=> ! [X_2309: $int,X_2310: $int] :
( mem2(X_2310,X_2309,X_2307)
<=> mem2(X_2310,X_2309,X_2308) ) )
& ! [X_2311: $int] :
( mem0(X_2311,g_s599_590)
<=> ? [X_2312: set_2] : mem13(X_2311,X_2312,X_2303) )
& ! [X_2313: set_2] :
( ? [X_2314: $int] : mem13(X_2314,X_2313,X_2303)
=> ? [X_2315: $int,X_2316: set_2] :
( ! [X_2317: $int,X_2318: $int] :
( mem2(X_2318,X_2317,X_2316)
<=> mem2(X_2318,X_2317,X_2313) )
& ! [X_2319: $int,X_2320: $int,X_2321: $int] :
( ( mem2(X_2319,X_2320,X_2316)
& mem2(X_2319,X_2321,X_2316) )
=> ( X_2320 = X_2321 ) )
& ! [X_2322: $int] :
( ( $greatereq(X_2322,1)
& $lesseq(X_2322,X_2315) )
<=> ? [X_2323: $int] : mem2(X_2322,X_2323,X_2316) )
& ! [X_2324: $int] :
( ? [X_2325: $int] : mem2(X_2325,X_2324,X_2316)
=> mem0(X_2324,g_s637_628) ) ) ) ) ).
tff('Define:ctx:1244',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ! [X_2326: $int] :
( ! [X_2327: $int,X_2328: $int] :
( ( mem2(L_s821,X_2327,g_s856_829)
& mem2(L_s821,X_2328,g_s858_831) )
=> ( X_2326 = $sum(X_2327,X_2328) ) )
=> mem0(X_2326,g_s640_631) ) ) ).
tff('Define:ctx:1245',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s601_592)
=> ! [X_2329: $int] :
( ! [X_2330: $int,X_2331: $int] :
( ( mem2(L_s821,X_2330,g_s857_830)
& mem2(L_s821,X_2331,g_s859_832) )
=> ( X_2329 = $sum(X_2330,X_2331) ) )
=> mem0(X_2329,g_s641_632) ) ) ).
tff('Define:ctx:1246',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ! [X_2332: $int] :
( ! [X_2333: $int,X_2334: $int,X_2335: $int] :
( ( mem2(L_s821,X_2333,g_s856_829)
& mem2(L_s821,X_2334,g_s856_829)
& mem2(L_s821,X_2335,g_s858_831) )
=> ( $greatereq(X_2332,X_2333)
& $lesseq(X_2332,$difference($sum(X_2334,X_2335),1)) ) )
=> mem0(X_2332,g_s640_631) ) ) ).
tff('Define:ctx:1247',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s601_592)
=> ! [X_2336: $int] :
( ! [X_2337: $int,X_2338: $int,X_2339: $int] :
( ( mem2(L_s821,X_2337,g_s857_830)
& mem2(L_s821,X_2338,g_s857_830)
& mem2(L_s821,X_2339,g_s859_832) )
=> ( $greatereq(X_2336,X_2337)
& $lesseq(X_2336,$difference($sum(X_2338,X_2339),1)) ) )
=> mem0(X_2336,g_s641_632) ) ) ).
tff('Define:ctx:1248',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s599_590)
& mem0(L_s825,g_s380_371) )
=> ! [X_2340: $int] :
( ! [X_2341: $int,X_2342: $int] :
( ( mem7(L_s821,L_s825,X_2341,g_s851_824)
& mem7(L_s821,L_s825,X_2342,g_s853_826) )
=> ( X_2340 = $sum(X_2341,X_2342) ) )
=> mem0(X_2340,g_s638_629) ) ) ).
tff('Define:ctx:1249',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ! [X_2343: $int,X_2344: $int,X_2345: $int] :
( ( mem7(L_s821,g_s2_2,X_2343,g_s851_824)
& mem7(L_s821,g_s2_2,X_2344,g_s853_826)
& mem7(L_s821,g_s3_3,X_2345,g_s851_824) )
=> $lesseq($sum(X_2343,X_2344),X_2345) ) ) ).
tff('Define:ctx:125',axiom,
? [X_530: set_4] :
( ! [X_531: $o,X_532: $o] :
( mem4((X_532),(X_531),X_530)
<=> mem4((X_532),(X_531),g_s269_264) )
& ! [X_533: $o,X_534: $o,X_535: $o] :
( ( mem4((X_533),(X_534),X_530)
& mem4((X_533),(X_535),X_530) )
=> ( (X_534)
<=> (X_535) ) )
& ! [X_536: $o] :
( $true
<=> ? [X_537: $o] : mem4((X_536),(X_537),X_530) )
& ! [X_538: $o] :
( ? [X_539: $o] : mem4((X_539),(X_538),X_530)
=> $true ) ) ).
tff('Define:ctx:1250',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s601_592)
& mem0(L_s825,g_s396_387) )
=> ! [X_2346: $int] :
( ! [X_2347: $int,X_2348: $int] :
( ( mem7(L_s821,L_s825,X_2347,g_s852_825)
& mem7(L_s821,L_s825,X_2348,g_s854_827) )
=> ( X_2346 = $sum(X_2347,X_2348) ) )
=> mem0(X_2346,g_s639_630) ) ) ).
tff('Define:ctx:1251',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s601_592)
=> ! [X_2349: $int,X_2350: $int,X_2351: $int] :
( ( mem7(L_s821,g_s2_2,X_2349,g_s852_825)
& mem7(L_s821,g_s2_2,X_2350,g_s854_827)
& mem7(L_s821,g_s3_3,X_2351,g_s852_825) )
=> $lesseq($sum(X_2349,X_2350),X_2351) ) ) ).
tff('Define:ctx:1252',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s599_590)
& mem0(L_s825,g_s380_371) )
=> ! [X_2352: $int] :
( ! [X_2353: $int,X_2354: $int,X_2355: $int] :
( ( mem7(L_s821,L_s825,X_2353,g_s851_824)
& mem7(L_s821,L_s825,X_2354,g_s851_824)
& mem7(L_s821,L_s825,X_2355,g_s853_826) )
=> ( $greatereq(X_2352,X_2353)
& $lesseq(X_2352,$difference($sum(X_2354,X_2355),1)) ) )
=> mem0(X_2352,g_s638_629) ) ) ).
tff('Define:ctx:1253',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s601_592)
& mem0(L_s825,g_s396_387) )
=> ! [X_2356: $int] :
( ! [X_2357: $int,X_2358: $int,X_2359: $int] :
( ( mem7(L_s821,L_s825,X_2357,g_s852_825)
& mem7(L_s821,L_s825,X_2358,g_s852_825)
& mem7(L_s821,L_s825,X_2359,g_s854_827) )
=> ( $greatereq(X_2356,X_2357)
& $lesseq(X_2356,$difference($sum(X_2358,X_2359),1)) ) )
=> mem0(X_2356,g_s639_630) ) ) ).
tff('Define:ctx:1254',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s601_592)
& mem0(L_s825,g_s396_387) )
=> ( ! [X_2360: $int] :
( ! [X_2361: $int,X_2362: $int] :
( ( mem7(L_s821,L_s825,X_2361,g_s852_825)
& mem2(L_s821,X_2362,g_s855_828) )
=> ( $greatereq(X_2360,X_2361)
& $lesseq(X_2360,$sum($uminus(1),X_2362)) ) )
=> mem0(X_2360,g_s639_630) )
& ! [X_2363: $int,X_2364: $int] :
( ( mem7(L_s821,L_s825,X_2363,g_s852_825)
& mem2(L_s821,X_2364,g_s855_828) )
=> $lesseq(X_2363,X_2364) ) ) ) ).
tff('Define:ctx:1255',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ! [X_2365: $int] :
( ! [X_2366: $int,X_2367: $int] :
( ( mem2(L_s821,X_2366,g_s860_833)
& mem2(L_s821,X_2367,g_s861_834) )
=> ( X_2365 = $sum(X_2366,X_2367) ) )
=> mem0(X_2365,g_s637_628) ) ) ).
tff('Define:ctx:1256',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ! [X_2368: $int] :
( ! [X_2369: $int,X_2370: $int,X_2371: $int] :
( ( mem2(L_s821,X_2369,g_s860_833)
& mem2(L_s821,X_2370,g_s860_833)
& mem2(L_s821,X_2371,g_s861_834) )
=> ( $greatereq(X_2368,X_2369)
& $lesseq(X_2368,$difference($sum(X_2370,X_2371),1)) ) )
=> mem0(X_2368,g_s637_628) ) ) ).
tff('Define:ctx:1257',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s599_590)
& mem0(L_s825,g_s380_371) )
=> ! [X_2372: $int] :
( mem7(L_s821,L_s825,X_2372,g_s853_826)
=> $lesseq(1,X_2372) ) ) ).
tff('Define:ctx:1258',axiom,
! [L_s821: $int,L_s825: $int] :
( ( mem0(L_s821,g_s601_592)
& mem0(L_s825,g_s396_387) )
=> ! [X_2373: $int] :
( mem7(L_s821,L_s825,X_2373,g_s854_827)
=> $lesseq(1,X_2373) ) ) ).
tff('Define:ctx:1259',axiom,
! [L_s821: $int,L_s889: $int,L_s890: $int,L_s825: $int] :
( ( mem0(L_s821,g_s599_590)
& mem0(L_s825,g_s380_371)
& ! [X_2374: $int,X_2375: $int,X_2376: $int] :
( ( mem7(L_s821,L_s825,X_2374,g_s851_824)
& mem7(L_s821,L_s825,X_2375,g_s851_824)
& mem7(L_s821,L_s825,X_2376,g_s853_826) )
=> ( $greatereq(L_s889,X_2374)
& $lesseq(L_s889,$difference($sum(X_2375,X_2376),1)) ) )
& ! [X_2377: $int,X_2378: $int,X_2379: $int] :
( ( mem7(L_s821,L_s825,X_2377,g_s851_824)
& mem7(L_s821,L_s825,X_2378,g_s851_824)
& mem7(L_s821,L_s825,X_2379,g_s853_826) )
=> ( $greatereq(L_s890,X_2377)
& $lesseq(L_s890,$difference($sum(X_2378,X_2379),1)) ) )
& ( L_s889 != L_s890 ) )
=> ~ ! [X_2380: $int] :
( mem2(L_s890,X_2380,g_s862_835)
=> mem2(L_s889,X_2380,g_s862_835) ) ) ).
tff('Define:ctx:126',axiom,
! [X_540: $o,X_541: $o] :
( mem4((X_541),(X_540),g_s269_264)
<=> ( $true
& ( (X_540)
<=> (X_541) ) ) ) ).
tff('Define:ctx:1260',axiom,
! [L_s821: $int,L_s889: $int,L_s890: $int,L_s825: $int] :
( ( mem0(L_s821,g_s601_592)
& mem0(L_s825,g_s396_387)
& ! [X_2381: $int,X_2382: $int,X_2383: $int] :
( ( mem7(L_s821,L_s825,X_2381,g_s852_825)
& mem7(L_s821,L_s825,X_2382,g_s852_825)
& mem7(L_s821,L_s825,X_2383,g_s854_827) )
=> ( $greatereq(L_s889,X_2381)
& $lesseq(L_s889,$difference($sum(X_2382,X_2383),1)) ) )
& ! [X_2384: $int,X_2385: $int,X_2386: $int] :
( ( mem7(L_s821,L_s825,X_2384,g_s852_825)
& mem7(L_s821,L_s825,X_2385,g_s852_825)
& mem7(L_s821,L_s825,X_2386,g_s854_827) )
=> ( $greatereq(L_s890,X_2384)
& $lesseq(L_s890,$difference($sum(X_2385,X_2386),1)) ) )
& ( L_s889 != L_s890 ) )
=> ~ ! [X_2387: $int] :
( mem2(L_s890,X_2387,g_s864_837)
=> mem2(L_s889,X_2387,g_s864_837) ) ) ).
tff('Define:ctx:1261',axiom,
! [L_s821: $int,L_s889: $int,L_s890: $int] :
( ( mem0(L_s821,g_s599_590)
& ! [X_2388: $int,X_2389: $int,X_2390: $int] :
( ( mem2(L_s821,X_2388,g_s856_829)
& mem2(L_s821,X_2389,g_s856_829)
& mem2(L_s821,X_2390,g_s858_831) )
=> ( $greatereq(L_s889,X_2388)
& $lesseq(L_s889,$difference($sum(X_2389,X_2390),1)) ) )
& ! [X_2391: $int,X_2392: $int,X_2393: $int] :
( ( mem2(L_s821,X_2391,g_s856_829)
& mem2(L_s821,X_2392,g_s856_829)
& mem2(L_s821,X_2393,g_s858_831) )
=> ( $greatereq(L_s890,X_2391)
& $lesseq(L_s890,$difference($sum(X_2392,X_2393),1)) ) )
& ( L_s889 != L_s890 ) )
=> ~ ! [X_2394: $int] :
( mem2(L_s890,X_2394,g_s872_845)
=> mem2(L_s889,X_2394,g_s872_845) ) ) ).
tff('Define:ctx:1262',axiom,
! [L_s821: $int,L_s889: $int,L_s890: $int] :
( ( mem0(L_s821,g_s601_592)
& ! [X_2395: $int,X_2396: $int,X_2397: $int] :
( ( mem2(L_s821,X_2395,g_s857_830)
& mem2(L_s821,X_2396,g_s857_830)
& mem2(L_s821,X_2397,g_s859_832) )
=> ( $greatereq(L_s889,X_2395)
& $lesseq(L_s889,$difference($sum(X_2396,X_2397),1)) ) )
& ! [X_2398: $int,X_2399: $int,X_2400: $int] :
( ( mem2(L_s821,X_2398,g_s857_830)
& mem2(L_s821,X_2399,g_s857_830)
& mem2(L_s821,X_2400,g_s859_832) )
=> ( $greatereq(L_s890,X_2398)
& $lesseq(L_s890,$difference($sum(X_2399,X_2400),1)) ) )
& ( L_s889 != L_s890 ) )
=> ~ ! [X_2401: $int] :
( mem2(L_s890,X_2401,g_s873_846)
=> mem2(L_s889,X_2401,g_s873_846) ) ) ).
tff('Define:ctx:1263',axiom,
! [L_s891: $int] :
( mem0(L_s891,g_s638_629)
=> ! [X_2402: $int,X_2403: $int] :
( ( mem2(L_s891,X_2402,g_s866_839)
& mem2(L_s891,X_2403,g_s868_841) )
=> $lesseq(X_2402,X_2403) ) ) ).
tff('Define:ctx:1264',axiom,
! [L_s891: $int] :
( mem0(L_s891,g_s639_630)
=> ! [X_2404: $int,X_2405: $int] :
( ( mem2(L_s891,X_2404,g_s867_840)
& mem2(L_s891,X_2405,g_s869_842) )
=> $lesseq(X_2404,X_2405) ) ) ).
tff('Define:ctx:1265',axiom,
! [L_s891: $int] :
( mem0(L_s891,g_s638_629)
=> ! [X_2406: $int] :
( ! [X_2407: $int,X_2408: $int] :
( ( mem2(L_s891,X_2407,g_s868_841)
& mem2(L_s891,X_2408,g_s866_839) )
=> ( X_2406 = $difference(X_2407,X_2408) ) )
=> mem0(X_2406,g_s387_378) ) ) ).
tff('Define:ctx:1266',axiom,
! [L_s891: $int] :
( mem0(L_s891,g_s639_630)
=> ! [X_2409: $int] :
( ! [X_2410: $int,X_2411: $int] :
( ( mem2(L_s891,X_2410,g_s869_842)
& mem2(L_s891,X_2411,g_s867_840) )
=> ( X_2409 = $difference(X_2410,X_2411) ) )
=> mem0(X_2409,g_s386_377) ) ) ).
tff('Define:ctx:1267',axiom,
! [L_s892: $int,L_s893: $int] :
( ( mem0(L_s892,g_s599_590)
& mem0(L_s893,g_s599_590) )
=> ! [X_2412: $int] :
( ? [X_2413: set_2] :
( ? [X_2414: set_2] :
( ! [X_2415: $int,X_2416: $int] :
( mem2(X_2416,X_2415,X_2414)
<=> mem2(X_2416,X_2415,X_2413) )
& ! [X_2417: $int,X_2418: $int,X_2419: $int] :
( ( mem2(X_2417,X_2418,X_2414)
& mem2(X_2417,X_2419,X_2414) )
=> ( X_2418 = X_2419 ) )
& ! [X_2420: $int] :
( ( ? [X_2421: $int] :
! [X_2422: set_2] :
( mem13(L_s892,X_2422,g_s886_859)
=> mem2(X_2421,X_2420,X_2422) )
& mem2(X_2420,L_s893,g_s872_845) )
<=> ? [X_2423: $int] : mem2(X_2420,X_2423,X_2414) )
& ! [X_2424: $int] :
( ? [X_2425: $int] : mem2(X_2425,X_2424,X_2414)
=> ( $greatereq(X_2424,1)
& $lesseq(X_2424,X_2412) ) ) )
& ! [X_2426: $int] :
( ( $greatereq(X_2426,1)
& $lesseq(X_2426,X_2412) )
=> ? [X_2427: $int] : mem2(X_2427,X_2426,X_2413) )
& ! [X_2428: $int,X_2429: $int,X_2430: $int] :
( ( mem2(X_2429,X_2428,X_2413)
& mem2(X_2430,X_2428,X_2413) )
=> ( X_2429 = X_2430 ) ) )
=> $lesseq(X_2412,1) ) ) ).
tff('Define:ctx:1268',axiom,
! [L_s892: $int,L_s893: $int] :
( ( mem0(L_s892,g_s601_592)
& mem0(L_s893,g_s601_592) )
=> ! [X_2431: $int] :
( ? [X_2432: set_2] :
( ? [X_2433: set_2] :
( ! [X_2434: $int,X_2435: $int] :
( mem2(X_2435,X_2434,X_2433)
<=> mem2(X_2435,X_2434,X_2432) )
& ! [X_2436: $int,X_2437: $int,X_2438: $int] :
( ( mem2(X_2436,X_2437,X_2433)
& mem2(X_2436,X_2438,X_2433) )
=> ( X_2437 = X_2438 ) )
& ! [X_2439: $int] :
( ( ? [X_2440: $int] :
! [X_2441: set_2] :
( mem13(L_s892,X_2441,g_s887_860)
=> mem2(X_2440,X_2439,X_2441) )
& mem2(X_2439,L_s893,g_s873_846) )
<=> ? [X_2442: $int] : mem2(X_2439,X_2442,X_2433) )
& ! [X_2443: $int] :
( ? [X_2444: $int] : mem2(X_2444,X_2443,X_2433)
=> ( $greatereq(X_2443,1)
& $lesseq(X_2443,X_2431) ) ) )
& ! [X_2445: $int] :
( ( $greatereq(X_2445,1)
& $lesseq(X_2445,X_2431) )
=> ? [X_2446: $int] : mem2(X_2446,X_2445,X_2432) )
& ! [X_2447: $int,X_2448: $int,X_2449: $int] :
( ( mem2(X_2448,X_2447,X_2432)
& mem2(X_2449,X_2447,X_2432) )
=> ( X_2448 = X_2449 ) ) )
=> $lesseq(X_2431,1) ) ) ).
tff('Define:ctx:1269',axiom,
! [L_s892: $int,L_s824: $int,L_s825: $int] :
( ( mem0(L_s892,g_s599_590)
& mem0(L_s824,g_s590_581)
& mem0(L_s825,g_s380_371) )
=> ! [X_2450: $int] :
( ? [X_2451: set_2] :
( ? [X_2452: set_2] :
( ! [X_2453: $int,X_2454: $int] :
( mem2(X_2454,X_2453,X_2452)
<=> mem2(X_2454,X_2453,X_2451) )
& ! [X_2455: $int,X_2456: $int,X_2457: $int] :
( ( mem2(X_2455,X_2456,X_2452)
& mem2(X_2455,X_2457,X_2452) )
=> ( X_2456 = X_2457 ) )
& ! [X_2458: $int] :
( ( ? [X_2459: $int] :
! [X_2460: set_2] :
( mem12(L_s892,L_s825,X_2460,g_s884_857)
=> mem2(X_2459,X_2458,X_2460) )
& mem2(X_2458,L_s824,g_s862_835) )
<=> ? [X_2461: $int] : mem2(X_2458,X_2461,X_2452) )
& ! [X_2462: $int] :
( ? [X_2463: $int] : mem2(X_2463,X_2462,X_2452)
=> ( $greatereq(X_2462,1)
& $lesseq(X_2462,X_2450) ) ) )
& ! [X_2464: $int] :
( ( $greatereq(X_2464,1)
& $lesseq(X_2464,X_2450) )
=> ? [X_2465: $int] : mem2(X_2465,X_2464,X_2451) )
& ! [X_2466: $int,X_2467: $int,X_2468: $int] :
( ( mem2(X_2467,X_2466,X_2451)
& mem2(X_2468,X_2466,X_2451) )
=> ( X_2467 = X_2468 ) ) )
=> $lesseq(X_2450,1) ) ) ).
tff('Define:ctx:127',axiom,
? [X_542: set_4] :
( ! [X_543: $o,X_544: $o] :
( mem4((X_544),(X_543),X_542)
<=> mem4((X_544),(X_543),g_s270_265) )
& ! [X_545: $o,X_546: $o,X_547: $o] :
( ( mem4((X_545),(X_546),X_542)
& mem4((X_545),(X_547),X_542) )
=> ( (X_546)
<=> (X_547) ) )
& ! [X_548: $o] :
( $true
<=> ? [X_549: $o] : mem4((X_548),(X_549),X_542) )
& ! [X_550: $o] :
( ? [X_551: $o] : mem4((X_551),(X_550),X_542)
=> $true ) ) ).
tff('Define:ctx:1270',axiom,
! [L_s892: $int,L_s824: $int,L_s825: $int] :
( ( mem0(L_s892,g_s601_592)
& mem0(L_s824,g_s592_583)
& mem0(L_s825,g_s396_387) )
=> ! [X_2469: $int] :
( ? [X_2470: set_2] :
( ? [X_2471: set_2] :
( ! [X_2472: $int,X_2473: $int] :
( mem2(X_2473,X_2472,X_2471)
<=> mem2(X_2473,X_2472,X_2470) )
& ! [X_2474: $int,X_2475: $int,X_2476: $int] :
( ( mem2(X_2474,X_2475,X_2471)
& mem2(X_2474,X_2476,X_2471) )
=> ( X_2475 = X_2476 ) )
& ! [X_2477: $int] :
( ( ? [X_2478: $int] :
! [X_2479: set_2] :
( mem12(L_s892,L_s825,X_2479,g_s885_858)
=> mem2(X_2478,X_2477,X_2479) )
& mem2(X_2477,L_s824,g_s862_835) )
<=> ? [X_2480: $int] : mem2(X_2477,X_2480,X_2471) )
& ! [X_2481: $int] :
( ? [X_2482: $int] : mem2(X_2482,X_2481,X_2471)
=> ( $greatereq(X_2481,1)
& $lesseq(X_2481,X_2469) ) ) )
& ! [X_2483: $int] :
( ( $greatereq(X_2483,1)
& $lesseq(X_2483,X_2469) )
=> ? [X_2484: $int] : mem2(X_2484,X_2483,X_2470) )
& ! [X_2485: $int,X_2486: $int,X_2487: $int] :
( ( mem2(X_2486,X_2485,X_2470)
& mem2(X_2487,X_2485,X_2470) )
=> ( X_2486 = X_2487 ) ) )
=> $lesseq(X_2469,1) ) ) ).
tff('Define:ctx:1271',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s599_590)
=> ? [X_2488: set_2] :
( ? [X_2489: set_2] :
( ! [X_2490: $int,X_2491: $int] :
( mem2(X_2491,X_2490,X_2489)
<=> mem2(X_2491,X_2490,X_2488) )
& ! [X_2492: $int,X_2493: $int,X_2494: $int] :
( ( mem2(X_2492,X_2493,X_2489)
& mem2(X_2492,X_2494,X_2489) )
=> ( X_2493 = X_2494 ) )
& ! [X_2495: $int] :
( ? [X_2496: $int] :
! [X_2497: set_2] :
( mem13(L_s821,X_2497,g_s886_859)
=> mem2(X_2496,X_2495,X_2497) )
<=> ? [X_2498: $int] : mem2(X_2495,X_2498,X_2489) )
& ! [X_2499: $int] :
( ? [X_2500: $int] : mem2(X_2500,X_2499,X_2489)
=> ! [X_2501: $int] :
( ? [X_2502: set_2] :
( ? [X_2503: set_2] :
( ! [X_2504: $int,X_2505: $int] :
( mem2(X_2505,X_2504,X_2503)
<=> mem2(X_2505,X_2504,X_2502) )
& ! [X_2506: $int,X_2507: $int,X_2508: $int] :
( ( mem2(X_2506,X_2507,X_2503)
& mem2(X_2506,X_2508,X_2503) )
=> ( X_2507 = X_2508 ) )
& ! [X_2509: $int] :
( ? [X_2510: $int] :
( ? [X_2511: $int] :
! [X_2512: set_2] :
( mem13(L_s821,X_2512,g_s886_859)
=> mem2(X_2511,X_2510,X_2512) )
& mem2(X_2510,X_2509,g_s872_845) )
<=> ? [X_2513: $int] : mem2(X_2509,X_2513,X_2503) )
& ! [X_2514: $int] :
( ? [X_2515: $int] : mem2(X_2515,X_2514,X_2503)
=> ( $greatereq(X_2514,1)
& $lesseq(X_2514,X_2501) ) ) )
& ! [X_2516: $int] :
( ( $greatereq(X_2516,1)
& $lesseq(X_2516,X_2501) )
=> ? [X_2517: $int] : mem2(X_2517,X_2516,X_2502) )
& ! [X_2518: $int,X_2519: $int,X_2520: $int] :
( ( mem2(X_2519,X_2518,X_2502)
& mem2(X_2520,X_2518,X_2502) )
=> ( X_2519 = X_2520 ) ) )
=> ( $greatereq(X_2499,1)
& $lesseq(X_2499,X_2501) ) ) ) )
& ! [X_2521: $int] :
( ! [X_2522: $int] :
( ? [X_2523: set_2] :
( ? [X_2524: set_2] :
( ! [X_2525: $int,X_2526: $int] :
( mem2(X_2526,X_2525,X_2524)
<=> mem2(X_2526,X_2525,X_2523) )
& ! [X_2527: $int,X_2528: $int,X_2529: $int] :
( ( mem2(X_2527,X_2528,X_2524)
& mem2(X_2527,X_2529,X_2524) )
=> ( X_2528 = X_2529 ) )
& ! [X_2530: $int] :
( ? [X_2531: $int] :
( ? [X_2532: $int] :
! [X_2533: set_2] :
( mem13(L_s821,X_2533,g_s886_859)
=> mem2(X_2532,X_2531,X_2533) )
& mem2(X_2531,X_2530,g_s872_845) )
<=> ? [X_2534: $int] : mem2(X_2530,X_2534,X_2524) )
& ! [X_2535: $int] :
( ? [X_2536: $int] : mem2(X_2536,X_2535,X_2524)
=> ( $greatereq(X_2535,1)
& $lesseq(X_2535,X_2522) ) ) )
& ! [X_2537: $int] :
( ( $greatereq(X_2537,1)
& $lesseq(X_2537,X_2522) )
=> ? [X_2538: $int] : mem2(X_2538,X_2537,X_2523) )
& ! [X_2539: $int,X_2540: $int,X_2541: $int] :
( ( mem2(X_2540,X_2539,X_2523)
& mem2(X_2541,X_2539,X_2523) )
=> ( X_2540 = X_2541 ) ) )
=> ( $greatereq(X_2521,1)
& $lesseq(X_2521,X_2522) ) )
=> ? [X_2542: $int] : mem2(X_2542,X_2521,X_2488) )
& ! [X_2543: $int,X_2544: $int,X_2545: $int] :
( ( mem2(X_2544,X_2543,X_2488)
& mem2(X_2545,X_2543,X_2488) )
=> ( X_2544 = X_2545 ) ) ) ) ).
tff('Define:ctx:1272',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s601_592)
=> ? [X_2546: set_2] :
( ? [X_2547: set_2] :
( ! [X_2548: $int,X_2549: $int] :
( mem2(X_2549,X_2548,X_2547)
<=> mem2(X_2549,X_2548,X_2546) )
& ! [X_2550: $int,X_2551: $int,X_2552: $int] :
( ( mem2(X_2550,X_2551,X_2547)
& mem2(X_2550,X_2552,X_2547) )
=> ( X_2551 = X_2552 ) )
& ! [X_2553: $int] :
( ? [X_2554: $int] :
! [X_2555: set_2] :
( mem13(L_s821,X_2555,g_s887_860)
=> mem2(X_2554,X_2553,X_2555) )
<=> ? [X_2556: $int] : mem2(X_2553,X_2556,X_2547) )
& ! [X_2557: $int] :
( ? [X_2558: $int] : mem2(X_2558,X_2557,X_2547)
=> ! [X_2559: $int] :
( ? [X_2560: set_2] :
( ? [X_2561: set_2] :
( ! [X_2562: $int,X_2563: $int] :
( mem2(X_2563,X_2562,X_2561)
<=> mem2(X_2563,X_2562,X_2560) )
& ! [X_2564: $int,X_2565: $int,X_2566: $int] :
( ( mem2(X_2564,X_2565,X_2561)
& mem2(X_2564,X_2566,X_2561) )
=> ( X_2565 = X_2566 ) )
& ! [X_2567: $int] :
( ? [X_2568: $int] :
( ? [X_2569: $int] :
! [X_2570: set_2] :
( mem13(L_s821,X_2570,g_s887_860)
=> mem2(X_2569,X_2568,X_2570) )
& mem2(X_2568,X_2567,g_s873_846) )
<=> ? [X_2571: $int] : mem2(X_2567,X_2571,X_2561) )
& ! [X_2572: $int] :
( ? [X_2573: $int] : mem2(X_2573,X_2572,X_2561)
=> ( $greatereq(X_2572,1)
& $lesseq(X_2572,X_2559) ) ) )
& ! [X_2574: $int] :
( ( $greatereq(X_2574,1)
& $lesseq(X_2574,X_2559) )
=> ? [X_2575: $int] : mem2(X_2575,X_2574,X_2560) )
& ! [X_2576: $int,X_2577: $int,X_2578: $int] :
( ( mem2(X_2577,X_2576,X_2560)
& mem2(X_2578,X_2576,X_2560) )
=> ( X_2577 = X_2578 ) ) )
=> ( $greatereq(X_2557,1)
& $lesseq(X_2557,X_2559) ) ) ) )
& ! [X_2579: $int] :
( ! [X_2580: $int] :
( ? [X_2581: set_2] :
( ? [X_2582: set_2] :
( ! [X_2583: $int,X_2584: $int] :
( mem2(X_2584,X_2583,X_2582)
<=> mem2(X_2584,X_2583,X_2581) )
& ! [X_2585: $int,X_2586: $int,X_2587: $int] :
( ( mem2(X_2585,X_2586,X_2582)
& mem2(X_2585,X_2587,X_2582) )
=> ( X_2586 = X_2587 ) )
& ! [X_2588: $int] :
( ? [X_2589: $int] :
( ? [X_2590: $int] :
! [X_2591: set_2] :
( mem13(L_s821,X_2591,g_s887_860)
=> mem2(X_2590,X_2589,X_2591) )
& mem2(X_2589,X_2588,g_s873_846) )
<=> ? [X_2592: $int] : mem2(X_2588,X_2592,X_2582) )
& ! [X_2593: $int] :
( ? [X_2594: $int] : mem2(X_2594,X_2593,X_2582)
=> ( $greatereq(X_2593,1)
& $lesseq(X_2593,X_2580) ) ) )
& ! [X_2595: $int] :
( ( $greatereq(X_2595,1)
& $lesseq(X_2595,X_2580) )
=> ? [X_2596: $int] : mem2(X_2596,X_2595,X_2581) )
& ! [X_2597: $int,X_2598: $int,X_2599: $int] :
( ( mem2(X_2598,X_2597,X_2581)
& mem2(X_2599,X_2597,X_2581) )
=> ( X_2598 = X_2599 ) ) )
=> ( $greatereq(X_2579,1)
& $lesseq(X_2579,X_2580) ) )
=> ? [X_2600: $int] : mem2(X_2600,X_2579,X_2546) )
& ! [X_2601: $int,X_2602: $int,X_2603: $int] :
( ( mem2(X_2602,X_2601,X_2546)
& mem2(X_2603,X_2601,X_2546) )
=> ( X_2602 = X_2603 ) ) ) ) ).
tff('Define:ctx:1273',axiom,
! [L_s895: $int] :
( mem0(L_s895,g_s599_590)
=> ~ ? [X_2604: $int] : mem2(X_2604,g_s647_638,g_s862_835) ) ).
tff('Define:ctx:1274',axiom,
! [L_s895: $int] :
( mem0(L_s895,g_s601_592)
=> ~ ? [X_2605: $int] : mem2(X_2605,g_s650_641,g_s864_837) ) ).
tff('Define:ctx:1275',axiom,
! [X_2606: set_2,X_2607: $int] :
( mem13(X_2607,X_2606,g_s886_859)
<=> ( mem0(X_2607,g_s599_590)
& ! [X_2608: $int,X_2609: $int] :
( mem2(X_2609,X_2608,X_2606)
<=> ( ! [X_2610: $int] :
( mem2(X_2607,X_2610,g_s858_831)
=> ( $greatereq(X_2609,1)
& $lesseq(X_2609,X_2610) ) )
& ! [X_2611: $int] :
( mem2(X_2607,X_2611,g_s856_829)
=> ( X_2608 = $difference($sum(X_2611,X_2609),1) ) ) ) ) ) ) ).
tff('Define:ctx:1276',axiom,
! [X_2612: set_2,X_2613: $int] :
( mem13(X_2613,X_2612,g_s887_860)
<=> ( mem0(X_2613,g_s601_592)
& ! [X_2614: $int,X_2615: $int] :
( mem2(X_2615,X_2614,X_2612)
<=> ( ! [X_2616: $int] :
( mem2(X_2613,X_2616,g_s859_832)
=> ( $greatereq(X_2615,1)
& $lesseq(X_2615,X_2616) ) )
& ! [X_2617: $int] :
( mem2(X_2613,X_2617,g_s857_830)
=> ( X_2614 = $difference($sum(X_2617,X_2615),1) ) ) ) ) ) ) ).
tff('Define:ctx:1277',axiom,
! [X_2618: set_2,X_2619: $int,X_2620: $int] :
( mem12(X_2620,X_2619,X_2618,g_s884_857)
<=> ( mem0(X_2620,g_s599_590)
& mem0(X_2619,g_s380_371)
& ! [X_2621: $int,X_2622: $int] :
( mem2(X_2622,X_2621,X_2618)
<=> ( ! [X_2623: $int] :
( mem7(X_2620,X_2619,X_2623,g_s853_826)
=> ( $greatereq(X_2622,1)
& $lesseq(X_2622,X_2623) ) )
& ! [X_2624: $int] :
( mem7(X_2620,X_2619,X_2624,g_s851_824)
=> ( X_2621 = $difference($sum(X_2624,X_2622),1) ) ) ) ) ) ) ).
tff('Define:ctx:1278',axiom,
! [X_2625: set_2,X_2626: $int,X_2627: $int] :
( mem12(X_2627,X_2626,X_2625,g_s885_858)
<=> ( mem0(X_2627,g_s601_592)
& mem0(X_2626,g_s396_387)
& ! [X_2628: $int,X_2629: $int] :
( mem2(X_2629,X_2628,X_2625)
<=> ( ! [X_2630: $int] :
( mem7(X_2627,X_2626,X_2630,g_s854_827)
=> ( $greatereq(X_2629,1)
& $lesseq(X_2629,X_2630) ) )
& ! [X_2631: $int] :
( mem7(X_2627,X_2626,X_2631,g_s852_825)
=> ( X_2628 = $difference($sum(X_2631,X_2629),1) ) ) ) ) ) ) ).
tff('Define:ctx:1279',axiom,
! [X_2632: set_2,X_2633: $int] :
( mem13(X_2633,X_2632,g_s888_861)
<=> ( mem0(X_2633,g_s599_590)
& ! [X_2634: $int,X_2635: $int] :
( mem2(X_2635,X_2634,X_2632)
<=> ( ! [X_2636: $int] :
( mem2(X_2633,X_2636,g_s861_834)
=> ( $greatereq(X_2635,1)
& $lesseq(X_2635,X_2636) ) )
& ! [X_2637: $int] :
( mem2(X_2633,X_2637,g_s860_833)
=> ( X_2634 = $difference($sum(X_2637,X_2635),1) ) ) ) ) ) ) ).
tff('Define:ctx:128',axiom,
! [X_552: $o,X_553: $o] :
( mem4((X_553),(X_552),g_s270_265)
<=> ( $true
& ( (X_552)
<=> (X_553) ) ) ) ).
tff('Define:ctx:1280',axiom,
! [L_s821: $int] :
( mem0(L_s821,g_s601_592)
=> ! [X_2638: $int] :
( ! [X_2639: $int,X_2640: $int] :
( ( mem7(L_s821,g_s3_3,X_2639,g_s852_825)
& mem7(L_s821,g_s3_3,X_2640,g_s854_827) )
=> ( X_2638 = $sum(X_2639,X_2640) ) )
=> mem2(L_s821,X_2638,g_s855_828) ) ) ).
tff('Define:ctx:1281',axiom,
? [X_2641: set_2] :
( ! [X_2642: $int,X_2643: $int] :
( mem2(X_2643,X_2642,X_2641)
<=> mem2(X_2643,X_2642,g_s897_862) )
& ! [X_2644: $int,X_2645: $int,X_2646: $int] :
( ( mem2(X_2644,X_2645,X_2641)
& mem2(X_2644,X_2646,X_2641) )
=> ( X_2645 = X_2646 ) )
& ! [X_2647: $int] :
( mem0(X_2647,g_s590_581)
<=> ? [X_2648: $int] : mem2(X_2647,X_2648,X_2641) )
& ! [X_2649: $int] :
( ? [X_2650: $int] : mem2(X_2650,X_2649,X_2641)
=> mem0(X_2649,g_s197_197) ) ) ).
tff('Define:ctx:1282',axiom,
? [X_2651: set_2] :
( ! [X_2652: $int,X_2653: $int] :
( mem2(X_2653,X_2652,X_2651)
<=> mem2(X_2653,X_2652,g_s898_863) )
& ! [X_2654: $int,X_2655: $int,X_2656: $int] :
( ( mem2(X_2654,X_2655,X_2651)
& mem2(X_2654,X_2656,X_2651) )
=> ( X_2655 = X_2656 ) )
& ! [X_2657: $int] :
( mem0(X_2657,g_s595_586)
<=> ? [X_2658: $int] : mem2(X_2657,X_2658,X_2651) )
& ! [X_2659: $int] :
( ? [X_2660: $int] : mem2(X_2660,X_2659,X_2651)
=> mem0(X_2659,g_s197_197) ) ) ).
tff('Define:ctx:1283',axiom,
? [X_2661: set_2] :
( ! [X_2662: $int,X_2663: $int] :
( mem2(X_2663,X_2662,X_2661)
<=> mem2(X_2663,X_2662,g_s899_864) )
& ! [X_2664: $int,X_2665: $int,X_2666: $int] :
( ( mem2(X_2664,X_2665,X_2661)
& mem2(X_2664,X_2666,X_2661) )
=> ( X_2665 = X_2666 ) )
& ! [X_2667: $int] :
( mem0(X_2667,g_s602_593)
<=> ? [X_2668: $int] : mem2(X_2667,X_2668,X_2661) )
& ! [X_2669: $int] :
( ? [X_2670: $int] : mem2(X_2670,X_2669,X_2661)
=> mem0(X_2669,g_s197_197) ) ) ).
tff('Define:ctx:1284',axiom,
? [X_2671: set_2] :
( ! [X_2672: $int,X_2673: $int] :
( mem2(X_2673,X_2672,X_2671)
<=> mem2(X_2673,X_2672,g_s900_865) )
& ! [X_2674: $int,X_2675: $int,X_2676: $int] :
( ( mem2(X_2674,X_2675,X_2671)
& mem2(X_2674,X_2676,X_2671) )
=> ( X_2675 = X_2676 ) )
& ! [X_2677: $int] :
( mem0(X_2677,g_s380_371)
<=> ? [X_2678: $int] : mem2(X_2677,X_2678,X_2671) )
& ! [X_2679: $int] :
( ? [X_2680: $int] : mem2(X_2680,X_2679,X_2671)
=> mem0(X_2679,g_s200_200) ) ) ).
tff('Define:ctx:1285',axiom,
? [X_2681: set_2] :
( ! [X_2682: $int,X_2683: $int] :
( mem2(X_2683,X_2682,X_2681)
<=> mem2(X_2683,X_2682,g_s901_866) )
& ! [X_2684: $int,X_2685: $int,X_2686: $int] :
( ( mem2(X_2684,X_2685,X_2681)
& mem2(X_2684,X_2686,X_2681) )
=> ( X_2685 = X_2686 ) )
& ! [X_2687: $int] :
( mem0(X_2687,g_s47_47)
<=> ? [X_2688: $int] : mem2(X_2687,X_2688,X_2681) )
& ! [X_2689: $int] :
( ? [X_2690: $int] : mem2(X_2690,X_2689,X_2681)
=> mem0(X_2689,g_s200_200) ) ) ).
tff('Define:ctx:1286',axiom,
? [X_2691: set_2] :
( ! [X_2692: $int,X_2693: $int] :
( mem2(X_2693,X_2692,X_2691)
<=> mem2(X_2693,X_2692,g_s902_867) )
& ! [X_2694: $int,X_2695: $int,X_2696: $int] :
( ( mem2(X_2694,X_2695,X_2691)
& mem2(X_2694,X_2696,X_2691) )
=> ( X_2695 = X_2696 ) )
& ! [X_2697: $int] :
( mem0(X_2697,g_s8_8)
<=> ? [X_2698: $int] : mem2(X_2697,X_2698,X_2691) )
& ! [X_2699: $int] :
( ? [X_2700: $int] : mem2(X_2700,X_2699,X_2691)
=> mem0(X_2699,g_s200_200) ) ) ).
tff('Define:ctx:1287',axiom,
? [X_2701: set_2] :
( ! [X_2702: $int,X_2703: $int] :
( mem2(X_2703,X_2702,X_2701)
<=> mem2(X_2703,X_2702,g_s903_868) )
& ! [X_2704: $int,X_2705: $int,X_2706: $int] :
( ( mem2(X_2704,X_2705,X_2701)
& mem2(X_2704,X_2706,X_2701) )
=> ( X_2705 = X_2706 ) )
& ! [X_2707: $int] :
( mem0(X_2707,g_s599_590)
<=> ? [X_2708: $int] : mem2(X_2707,X_2708,X_2701) )
& ! [X_2709: $int] :
( ? [X_2710: $int] : mem2(X_2710,X_2709,X_2701)
=> mem0(X_2709,g_s197_197) ) ) ).
tff('Define:ctx:1288',axiom,
? [X_2711: set_2] :
( ! [X_2712: $int,X_2713: $int] :
( mem2(X_2713,X_2712,X_2711)
<=> mem2(X_2713,X_2712,g_s904_869) )
& ! [X_2714: $int,X_2715: $int,X_2716: $int] :
( ( mem2(X_2714,X_2715,X_2711)
& mem2(X_2714,X_2716,X_2711) )
=> ( X_2715 = X_2716 ) )
& ! [X_2717: $int] :
( mem0(X_2717,g_s905_870)
<=> ? [X_2718: $int] : mem2(X_2717,X_2718,X_2711) )
& ! [X_2719: $int] :
( ? [X_2720: $int] : mem2(X_2720,X_2719,X_2711)
=> mem0(X_2719,g_s200_200) ) ) ).
tff('Define:ctx:1289',axiom,
? [X_2721: set_2] :
( ! [X_2722: $int,X_2723: $int] :
( mem2(X_2723,X_2722,X_2721)
<=> mem2(X_2723,X_2722,g_s906_871) )
& ! [X_2724: $int,X_2725: $int,X_2726: $int] :
( ( mem2(X_2724,X_2725,X_2721)
& mem2(X_2724,X_2726,X_2721) )
=> ( X_2725 = X_2726 ) )
& ! [X_2727: $int] :
( mem0(X_2727,g_s907_872)
<=> ? [X_2728: $int] : mem2(X_2727,X_2728,X_2721) )
& ! [X_2729: $int] :
( ? [X_2730: $int] : mem2(X_2730,X_2729,X_2721)
=> mem0(X_2729,g_s200_200) ) ) ).
tff('Define:ctx:129',axiom,
? [X_554: set_4] :
( ! [X_555: $o,X_556: $o] :
( mem4((X_556),(X_555),X_554)
<=> mem4((X_556),(X_555),g_s271_266) )
& ! [X_557: $o,X_558: $o,X_559: $o] :
( ( mem4((X_557),(X_558),X_554)
& mem4((X_557),(X_559),X_554) )
=> ( (X_558)
<=> (X_559) ) )
& ! [X_560: $o] :
( $true
<=> ? [X_561: $o] : mem4((X_560),(X_561),X_554) )
& ! [X_562: $o] :
( ? [X_563: $o] : mem4((X_563),(X_562),X_554)
=> $true ) ) ).
tff('Define:ctx:1290',axiom,
? [X_2731: set_2] :
( ! [X_2732: $int,X_2733: $int] :
( mem2(X_2733,X_2732,X_2731)
<=> mem2(X_2733,X_2732,g_s908_873) )
& ! [X_2734: $int,X_2735: $int,X_2736: $int] :
( ( mem2(X_2734,X_2735,X_2731)
& mem2(X_2734,X_2736,X_2731) )
=> ( X_2735 = X_2736 ) )
& ! [X_2737: $int] :
( mem0(X_2737,g_s909_874)
<=> ? [X_2738: $int] : mem2(X_2737,X_2738,X_2731) )
& ! [X_2739: $int] :
( ? [X_2740: $int] : mem2(X_2740,X_2739,X_2731)
=> mem0(X_2739,g_s200_200) ) ) ).
tff('Define:ctx:1291',axiom,
? [X_2741: set_2] :
( ! [X_2742: $int,X_2743: $int] :
( mem2(X_2743,X_2742,X_2741)
<=> mem2(X_2743,X_2742,g_s910_875) )
& ! [X_2744: $int,X_2745: $int,X_2746: $int] :
( ( mem2(X_2744,X_2745,X_2741)
& mem2(X_2744,X_2746,X_2741) )
=> ( X_2745 = X_2746 ) )
& ! [X_2747: $int] :
( mem0(X_2747,g_s911_876)
<=> ? [X_2748: $int] : mem2(X_2747,X_2748,X_2741) )
& ! [X_2749: $int] :
( ? [X_2750: $int] : mem2(X_2750,X_2749,X_2741)
=> mem0(X_2749,g_s200_200) ) ) ).
tff('Define:ctx:1292',axiom,
? [X_2751: set_2] :
( ! [X_2752: $int,X_2753: $int] :
( mem2(X_2753,X_2752,X_2751)
<=> mem2(X_2753,X_2752,g_s912_877) )
& ! [X_2754: $int,X_2755: $int,X_2756: $int] :
( ( mem2(X_2754,X_2755,X_2751)
& mem2(X_2754,X_2756,X_2751) )
=> ( X_2755 = X_2756 ) )
& ! [X_2757: $int] :
( mem0(X_2757,g_s913_878)
<=> ? [X_2758: $int] : mem2(X_2757,X_2758,X_2751) )
& ! [X_2759: $int] :
( ? [X_2760: $int] : mem2(X_2760,X_2759,X_2751)
=> mem0(X_2759,g_s200_200) ) ) ).
tff('Define:ctx:1293',axiom,
? [X_2761: set_2] :
( ! [X_2762: $int,X_2763: $int] :
( mem2(X_2763,X_2762,X_2761)
<=> mem2(X_2763,X_2762,g_s914_879) )
& ! [X_2764: $int,X_2765: $int,X_2766: $int] :
( ( mem2(X_2764,X_2765,X_2761)
& mem2(X_2764,X_2766,X_2761) )
=> ( X_2765 = X_2766 ) )
& ! [X_2767: $int] :
( mem0(X_2767,g_s915_880)
<=> ? [X_2768: $int] : mem2(X_2767,X_2768,X_2761) )
& ! [X_2769: $int] :
( ? [X_2770: $int] : mem2(X_2770,X_2769,X_2761)
=> mem0(X_2769,g_s200_200) ) ) ).
tff('Define:ctx:1294',axiom,
? [X_2771: set_2] :
( ! [X_2772: $int,X_2773: $int] :
( mem2(X_2773,X_2772,X_2771)
<=> mem2(X_2773,X_2772,g_s916_881) )
& ! [X_2774: $int,X_2775: $int,X_2776: $int] :
( ( mem2(X_2774,X_2775,X_2771)
& mem2(X_2774,X_2776,X_2771) )
=> ( X_2775 = X_2776 ) )
& ! [X_2777: $int] :
( mem0(X_2777,g_s917_882)
<=> ? [X_2778: $int] : mem2(X_2777,X_2778,X_2771) )
& ! [X_2779: $int] :
( ? [X_2780: $int] : mem2(X_2780,X_2779,X_2771)
=> mem0(X_2779,g_s200_200) ) ) ).
tff('Define:ctx:13',axiom,
( ! [X_18: $int] :
( mem0(X_18,g_s56_56)
<=> ( ( X_18 = g_s57_57 )
| ( X_18 = g_s58_58 )
| ( X_18 = g_s59_59 )
| ( X_18 = g_s60_60 )
| ( X_18 = g_s61_61 )
| ( X_18 = g_s62_62 )
| ( X_18 = g_s63_63 )
| ( X_18 = g_s64_64 )
| ( X_18 = g_s65_65 )
| ( X_18 = g_s66_66 )
| ( X_18 = g_s67_67 )
| ( X_18 = g_s68_68 )
| ( X_18 = g_s69_69 )
| ( X_18 = g_s70_70 )
| ( X_18 = g_s71_71 ) ) )
& ( g_s57_57 != g_s58_58 )
& ( g_s58_58 != g_s59_59 )
& ( g_s59_59 != g_s60_60 )
& ( g_s60_60 != g_s61_61 )
& ( 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 ) ) ).
tff('Define:ctx:130',axiom,
! [X_564: $o,X_565: $o] :
( mem4((X_565),(X_564),g_s271_266)
<=> ( $true
& ( (X_564)
<=> (X_565) ) ) ) ).
tff('Define:ctx:131',axiom,
? [X_566: set_6] :
( ! [X_567: $o,X_568: $int,X_569: $int] :
( mem6(X_569,X_568,(X_567),X_566)
<=> mem6(X_569,X_568,(X_567),g_s272_267) )
& ! [X_570: $int,X_571: $int,X_572: $o,X_573: $o] :
( ( mem6(X_571,X_570,(X_572),X_566)
& mem6(X_571,X_570,(X_573),X_566) )
=> ( (X_572)
<=> (X_573) ) )
& ! [X_574: $int,X_575: $int] :
( ( mem0(X_575,g_s200_200)
& mem0(X_574,g_s199_199) )
<=> ? [X_576: $o] : mem6(X_575,X_574,(X_576),X_566) )
& ! [X_577: $o] :
( ? [X_578: $int,X_579: $int] : mem6(X_579,X_578,(X_577),X_566)
=> $true ) ) ).
tff('Define:ctx:132',axiom,
! [X_580: $o,X_581: $int,X_582: $int] :
( mem6(X_582,X_581,(X_580),g_s272_267)
<=> ( mem0(X_582,g_s200_200)
& mem0(X_581,g_s199_199)
& ( (X_580)
<=> ( X_582 = X_581 ) ) ) ) ).
tff('Define:ctx:133',axiom,
? [X_583: set_6] :
( ! [X_584: $o,X_585: $int,X_586: $int] :
( mem6(X_586,X_585,(X_584),X_583)
<=> mem6(X_586,X_585,(X_584),g_s275_268) )
& ! [X_587: $int,X_588: $int,X_589: $o,X_590: $o] :
( ( mem6(X_588,X_587,(X_589),X_583)
& mem6(X_588,X_587,(X_590),X_583) )
=> ( (X_589)
<=> (X_590) ) )
& ! [X_591: $int,X_592: $int] :
( ( mem0(X_592,g_s199_199)
& mem0(X_591,g_s199_199) )
<=> ? [X_593: $o] : mem6(X_592,X_591,(X_593),X_583) )
& ! [X_594: $o] :
( ? [X_595: $int,X_596: $int] : mem6(X_596,X_595,(X_594),X_583)
=> $true ) ) ).
tff('Define:ctx:134',axiom,
! [X_597: $o,X_598: $int,X_599: $int] :
( mem6(X_599,X_598,(X_597),g_s275_268)
<=> mem6(X_599,X_598,(X_597),g_s275_268) ) ).
tff('Define:ctx:135',axiom,
( ? [X_600: set_2] :
( ! [X_601: $int,X_602: $int] :
( mem2(X_602,X_601,X_600)
<=> mem2(X_602,X_601,g_s276_269) )
& ! [X_603: $int,X_604: $int,X_605: $int] :
( ( mem2(X_603,X_604,X_600)
& mem2(X_603,X_605,X_600) )
=> ( X_604 = X_605 ) )
& ! [X_606: $int] :
( mem0(X_606,g_s199_199)
<=> ? [X_607: $int] : mem2(X_606,X_607,X_600) )
& ! [X_608: $int] :
( ? [X_609: $int] : mem2(X_609,X_608,X_600)
=> mem0(X_608,g_s199_199) ) )
& ! [X_610: $int] :
( mem0(X_610,g_s199_199)
=> ? [X_611: $int] : mem2(X_611,X_610,g_s276_269) )
& ! [X_612: $int,X_613: $int,X_614: $int] :
( ( mem2(X_613,X_612,g_s276_269)
& mem2(X_614,X_612,g_s276_269) )
=> ( X_613 = X_614 ) ) ) ).
tff('Define:ctx:136',axiom,
! [X_615: $int,X_616: $int] :
( mem2(X_616,X_615,g_s276_269)
<=> ( mem0(X_616,g_s199_199)
& ( X_615 = X_616 ) ) ) ).
tff('Define:ctx:137',axiom,
( ? [X_617: set_2] :
( ! [X_618: $int,X_619: $int] :
( mem2(X_619,X_618,X_617)
<=> mem2(X_619,X_618,g_s278_270) )
& ! [X_620: $int,X_621: $int,X_622: $int] :
( ( mem2(X_620,X_621,X_617)
& mem2(X_620,X_622,X_617) )
=> ( X_621 = X_622 ) )
& ! [X_623: $int] :
( mem0(X_623,g_s200_200)
<=> ? [X_624: $int] : mem2(X_623,X_624,X_617) )
& ! [X_625: $int] :
( ? [X_626: $int] : mem2(X_626,X_625,X_617)
=> mem0(X_625,g_s200_200) ) )
& ! [X_627: $int] :
( mem0(X_627,g_s200_200)
=> ? [X_628: $int] : mem2(X_628,X_627,g_s278_270) )
& ! [X_629: $int,X_630: $int,X_631: $int] :
( ( mem2(X_630,X_629,g_s278_270)
& mem2(X_631,X_629,g_s278_270) )
=> ( X_630 = X_631 ) ) ) ).
tff('Define:ctx:138',axiom,
! [X_632: $int,X_633: $int] :
( mem2(X_633,X_632,g_s278_270)
<=> mem2(X_633,X_632,g_s276_269) ) ).
tff('Define:ctx:139',axiom,
! [X_634: $int,X_635: $int] :
( mem2(X_635,X_634,g_s279_271)
<=> ( $true
& ( X_634 = X_635 ) ) ) ).
tff('Define:ctx:14',axiom,
( ! [X_19: $int] :
( mem0(X_19,g_s72_72)
<=> ( ( X_19 = g_s73_73 )
| ( X_19 = g_s74_74 )
| ( X_19 = g_s75_75 )
| ( X_19 = g_s76_76 )
| ( X_19 = g_s77_77 )
| ( X_19 = g_s78_78 )
| ( X_19 = g_s79_79 )
| ( X_19 = g_s80_80 )
| ( X_19 = g_s81_81 )
| ( X_19 = g_s82_82 )
| ( X_19 = g_s83_83 )
| ( X_19 = g_s84_84 )
| ( X_19 = g_s85_85 )
| ( X_19 = g_s86_86 )
| ( X_19 = g_s87_87 )
| ( X_19 = g_s88_88 )
| ( X_19 = g_s89_89 )
| ( X_19 = g_s90_90 )
| ( X_19 = g_s91_91 )
| ( X_19 = g_s92_92 )
| ( X_19 = g_s93_93 )
| ( X_19 = g_s94_94 )
| ( X_19 = g_s95_95 )
| ( X_19 = g_s96_96 )
| ( X_19 = g_s97_97 )
| ( X_19 = g_s98_98 )
| ( X_19 = g_s99_99 )
| ( X_19 = g_s100_100 )
| ( X_19 = g_s101_101 )
| ( X_19 = g_s102_102 )
| ( X_19 = g_s103_103 )
| ( X_19 = g_s104_104 ) ) )
& ( g_s73_73 != g_s74_74 )
& ( g_s74_74 != g_s75_75 )
& ( g_s75_75 != g_s76_76 )
& ( g_s76_76 != g_s77_77 )
& ( 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 ) ) ).
tff('Define:ctx:140',axiom,
! [X_636: $o,X_637: $o] :
( mem4((X_637),(X_636),g_s281_272)
<=> ( $true
& ( (X_636)
<=> (X_637) ) ) ) ).
tff('Define:ctx:141',axiom,
mem3(g_s282_273,g_s203_203) ).
tff('Define:ctx:142',axiom,
mem3(g_s283_274,g_s203_203) ).
tff('Define:ctx:143',axiom,
mem0(g_s284_275,g_s202_202) ).
tff('Define:ctx:144',axiom,
mem0(g_s285_276,g_s202_202) ).
tff('Define:ctx:145',axiom,
mem0(g_s286_277,g_s202_202) ).
tff('Define:ctx:146',axiom,
mem0(g_s287_278,g_s202_202) ).
tff('Define:ctx:147',axiom,
mem0(g_s288_279,g_s202_202) ).
tff('Define:ctx:148',axiom,
mem0(g_s289_280,g_s202_202) ).
tff('Define:ctx:149',axiom,
mem0(g_s290_281,g_s202_202) ).
tff('Define:ctx:15',axiom,
( ! [X_20: $int] :
( mem0(X_20,g_s105_105)
<=> ( ( X_20 = g_s106_106 )
| ( X_20 = g_s107_107 )
| ( X_20 = g_s108_108 )
| ( X_20 = g_s109_109 ) ) )
& ( g_s106_106 != g_s107_107 )
& ( g_s107_107 != g_s108_108 )
& ( g_s108_108 != g_s109_109 ) ) ).
tff('Define:ctx:150',axiom,
mem0(g_s291_282,g_s202_202) ).
tff('Define:ctx:151',axiom,
mem0(g_s292_283,g_s202_202) ).
tff('Define:ctx:152',axiom,
mem0(g_s293_284,g_s202_202) ).
tff('Define:ctx:153',axiom,
mem0(g_s294_285,g_s202_202) ).
tff('Define:ctx:154',axiom,
mem0(g_s295_286,g_s202_202) ).
tff('Define:ctx:155',axiom,
mem0(g_s296_287,g_s202_202) ).
tff('Define:ctx:156',axiom,
mem0(g_s297_288,g_s202_202) ).
tff('Define:ctx:157',axiom,
mem0(g_s298_289,g_s202_202) ).
tff('Define:ctx:158',axiom,
mem0(g_s299_290,g_s202_202) ).
tff('Define:ctx:159',axiom,
mem0(g_s300_291,g_s202_202) ).
tff('Define:ctx:16',axiom,
( ! [X_21: $int] :
( mem0(X_21,g_s110_110)
<=> ( ( X_21 = g_s111_111 )
| ( X_21 = g_s112_112 )
| ( X_21 = g_s113_113 )
| ( X_21 = g_s114_114 )
| ( X_21 = g_s115_115 )
| ( X_21 = g_s116_116 )
| ( X_21 = g_s117_117 ) ) )
& ( g_s111_111 != g_s112_112 )
& ( g_s112_112 != g_s113_113 )
& ( g_s113_113 != g_s114_114 )
& ( g_s114_114 != g_s115_115 )
& ( g_s115_115 != g_s116_116 )
& ( g_s116_116 != g_s117_117 ) ) ).
tff('Define:ctx:160',axiom,
mem0(g_s301_292,g_s202_202) ).
tff('Define:ctx:161',axiom,
mem0(g_s302_293,g_s202_202) ).
tff('Define:ctx:162',axiom,
mem0(g_s303_294,g_s202_202) ).
tff('Define:ctx:163',axiom,
mem0(g_s304_295,g_s202_202) ).
tff('Define:ctx:164',axiom,
mem0(g_s305_296,g_s202_202) ).
tff('Define:ctx:165',axiom,
mem0(g_s306_297,g_s202_202) ).
tff('Define:ctx:166',axiom,
mem0(g_s307_298,g_s202_202) ).
tff('Define:ctx:167',axiom,
mem0(g_s308_299,g_s202_202) ).
tff('Define:ctx:168',axiom,
mem0(g_s309_300,g_s202_202) ).
tff('Define:ctx:169',axiom,
mem0(g_s310_301,g_s202_202) ).
tff('Define:ctx:17',axiom,
( ! [X_22: $int] :
( mem0(X_22,g_s118_118)
<=> ( ( X_22 = g_s119_119 )
| ( X_22 = g_s120_120 )
| ( X_22 = g_s121_121 )
| ( X_22 = g_s122_122 ) ) )
& ( g_s119_119 != g_s120_120 )
& ( g_s120_120 != g_s121_121 )
& ( g_s121_121 != g_s122_122 ) ) ).
tff('Define:ctx:170',axiom,
mem0(g_s311_302,g_s202_202) ).
tff('Define:ctx:171',axiom,
mem0(g_s312_303,g_s202_202) ).
tff('Define:ctx:172',axiom,
mem0(g_s313_304,g_s202_202) ).
tff('Define:ctx:173',axiom,
mem0(g_s314_305,g_s202_202) ).
tff('Define:ctx:174',axiom,
mem0(g_s315_306,g_s202_202) ).
tff('Define:ctx:175',axiom,
mem0(g_s316_307,g_s202_202) ).
tff('Define:ctx:176',axiom,
mem0(g_s317_308,g_s202_202) ).
tff('Define:ctx:177',axiom,
mem0(g_s318_309,g_s202_202) ).
tff('Define:ctx:178',axiom,
mem0(g_s319_310,g_s202_202) ).
tff('Define:ctx:179',axiom,
mem0(g_s320_311,g_s202_202) ).
tff('Define:ctx:18',axiom,
( ! [X_23: $int] :
( mem0(X_23,g_s123_123)
<=> ( ( X_23 = g_s124_124 )
| ( X_23 = g_s125_125 )
| ( X_23 = g_s126_126 )
| ( X_23 = g_s127_127 )
| ( X_23 = g_s128_128 ) ) )
& ( g_s124_124 != g_s125_125 )
& ( g_s125_125 != g_s126_126 )
& ( g_s126_126 != g_s127_127 )
& ( g_s127_127 != g_s128_128 ) ) ).
tff('Define:ctx:180',axiom,
mem0(g_s321_312,g_s202_202) ).
tff('Define:ctx:181',axiom,
mem0(g_s322_313,g_s202_202) ).
tff('Define:ctx:182',axiom,
mem0(g_s323_314,g_s202_202) ).
tff('Define:ctx:183',axiom,
mem0(g_s324_315,g_s202_202) ).
tff('Define:ctx:184',axiom,
mem0(g_s325_316,g_s202_202) ).
tff('Define:ctx:185',axiom,
mem0(g_s326_317,g_s202_202) ).
tff('Define:ctx:186',axiom,
mem0(g_s327_318,g_s202_202) ).
tff('Define:ctx:187',axiom,
mem0(g_s328_319,g_s202_202) ).
tff('Define:ctx:188',axiom,
mem0(g_s329_320,g_s202_202) ).
tff('Define:ctx:189',axiom,
mem0(g_s330_321,g_s202_202) ).
tff('Define:ctx:19',axiom,
( ~ ! [X_24: $int] :
( mem0(X_24,g_s129_129)
<=> $false )
& ! [X_27: $int] :
( mem0(X_27,g_s129_129)
=> $true )
& ? [X_25: $int,X_26: set_2] :
( ? [X_28: set_2] :
( ! [X_29: $int,X_30: $int] :
( mem2(X_30,X_29,X_28)
<=> mem2(X_30,X_29,X_26) )
& ! [X_31: $int,X_32: $int,X_33: $int] :
( ( mem2(X_31,X_32,X_28)
& mem2(X_31,X_33,X_28) )
=> ( X_32 = X_33 ) )
& ! [X_34: $int] :
( ( $greatereq(X_34,1)
& $lesseq(X_34,X_25) )
<=> ? [X_35: $int] : mem2(X_34,X_35,X_28) )
& ! [X_36: $int] :
( ? [X_37: $int] : mem2(X_37,X_36,X_28)
=> mem0(X_36,g_s129_129) ) )
& ! [X_38: $int] :
( mem0(X_38,g_s129_129)
=> ? [X_39: $int] : mem2(X_39,X_38,X_26) )
& ! [X_40: $int,X_41: $int,X_42: $int] :
( ( mem2(X_41,X_40,X_26)
& mem2(X_42,X_40,X_26) )
=> ( X_41 = X_42 ) ) ) ) ).
tff('Define:ctx:190',axiom,
mem0(g_s331_322,g_s202_202) ).
tff('Define:ctx:191',axiom,
mem0(g_s332_323,g_s202_202) ).
tff('Define:ctx:192',axiom,
mem0(g_s333_324,g_s202_202) ).
tff('Define:ctx:193',axiom,
mem0(g_s334_325,g_s202_202) ).
tff('Define:ctx:194',axiom,
mem0(g_s335_326,g_s202_202) ).
tff('Define:ctx:195',axiom,
mem0(g_s336_327,g_s202_202) ).
tff('Define:ctx:196',axiom,
mem0(g_s337_328,g_s202_202) ).
tff('Define:ctx:197',axiom,
mem0(g_s338_329,g_s202_202) ).
tff('Define:ctx:198',axiom,
mem0(g_s339_330,g_s202_202) ).
tff('Define:ctx:199',axiom,
mem0(g_s340_331,g_s202_202) ).
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_43: $int] :
( mem0(X_43,g_s130_130)
<=> $false )
& ! [X_46: $int] :
( mem0(X_46,g_s130_130)
=> $true )
& ? [X_44: $int,X_45: set_2] :
( ? [X_47: set_2] :
( ! [X_48: $int,X_49: $int] :
( mem2(X_49,X_48,X_47)
<=> mem2(X_49,X_48,X_45) )
& ! [X_50: $int,X_51: $int,X_52: $int] :
( ( mem2(X_50,X_51,X_47)
& mem2(X_50,X_52,X_47) )
=> ( X_51 = X_52 ) )
& ! [X_53: $int] :
( ( $greatereq(X_53,1)
& $lesseq(X_53,X_44) )
<=> ? [X_54: $int] : mem2(X_53,X_54,X_47) )
& ! [X_55: $int] :
( ? [X_56: $int] : mem2(X_56,X_55,X_47)
=> mem0(X_55,g_s130_130) ) )
& ! [X_57: $int] :
( mem0(X_57,g_s130_130)
=> ? [X_58: $int] : mem2(X_58,X_57,X_45) )
& ! [X_59: $int,X_60: $int,X_61: $int] :
( ( mem2(X_60,X_59,X_45)
& mem2(X_61,X_59,X_45) )
=> ( X_60 = X_61 ) ) ) ) ).
tff('Define:ctx:200',axiom,
mem0(g_s341_332,g_s202_202) ).
tff('Define:ctx:201',axiom,
mem0(g_s342_333,g_s202_202) ).
tff('Define:ctx:202',axiom,
mem0(g_s343_334,g_s202_202) ).
tff('Define:ctx:203',axiom,
mem0(g_s344_335,g_s202_202) ).
tff('Define:ctx:204',axiom,
mem0(g_s345_336,g_s202_202) ).
tff('Define:ctx:205',axiom,
mem0(g_s346_337,g_s202_202) ).
tff('Define:ctx:206',axiom,
mem0(g_s347_338,g_s202_202) ).
tff('Define:ctx:207',axiom,
mem0(g_s348_339,g_s202_202) ).
tff('Define:ctx:208',axiom,
mem0(g_s349_340,g_s202_202) ).
tff('Define:ctx:209',axiom,
mem0(g_s350_341,g_s202_202) ).
tff('Define:ctx:21',axiom,
( ~ ! [X_62: $int] :
( mem0(X_62,g_s131_131)
<=> $false )
& ! [X_65: $int] :
( mem0(X_65,g_s131_131)
=> $true )
& ? [X_63: $int,X_64: set_2] :
( ? [X_66: set_2] :
( ! [X_67: $int,X_68: $int] :
( mem2(X_68,X_67,X_66)
<=> mem2(X_68,X_67,X_64) )
& ! [X_69: $int,X_70: $int,X_71: $int] :
( ( mem2(X_69,X_70,X_66)
& mem2(X_69,X_71,X_66) )
=> ( X_70 = X_71 ) )
& ! [X_72: $int] :
( ( $greatereq(X_72,1)
& $lesseq(X_72,X_63) )
<=> ? [X_73: $int] : mem2(X_72,X_73,X_66) )
& ! [X_74: $int] :
( ? [X_75: $int] : mem2(X_75,X_74,X_66)
=> mem0(X_74,g_s131_131) ) )
& ! [X_76: $int] :
( mem0(X_76,g_s131_131)
=> ? [X_77: $int] : mem2(X_77,X_76,X_64) )
& ! [X_78: $int,X_79: $int,X_80: $int] :
( ( mem2(X_79,X_78,X_64)
& mem2(X_80,X_78,X_64) )
=> ( X_79 = X_80 ) ) ) ) ).
tff('Define:ctx:210',axiom,
mem0(g_s351_342,g_s202_202) ).
tff('Define:ctx:211',axiom,
mem0(g_s352_343,g_s202_202) ).
tff('Define:ctx:212',axiom,
mem0(g_s353_344,g_s202_202) ).
tff('Define:ctx:213',axiom,
mem0(g_s354_345,g_s202_202) ).
tff('Define:ctx:214',axiom,
mem0(g_s355_346,g_s202_202) ).
tff('Define:ctx:215',axiom,
mem0(g_s356_347,g_s202_202) ).
tff('Define:ctx:216',axiom,
mem0(g_s357_348,g_s202_202) ).
tff('Define:ctx:217',axiom,
mem0(g_s358_349,g_s202_202) ).
tff('Define:ctx:218',axiom,
mem0(g_s359_350,g_s202_202) ).
tff('Define:ctx:219',axiom,
mem0(g_s360_351,g_s202_202) ).
tff('Define:ctx:22',axiom,
( ~ ! [X_81: $int] :
( mem0(X_81,g_s132_132)
<=> $false )
& ! [X_84: $int] :
( mem0(X_84,g_s132_132)
=> $true )
& ? [X_82: $int,X_83: set_2] :
( ? [X_85: set_2] :
( ! [X_86: $int,X_87: $int] :
( mem2(X_87,X_86,X_85)
<=> mem2(X_87,X_86,X_83) )
& ! [X_88: $int,X_89: $int,X_90: $int] :
( ( mem2(X_88,X_89,X_85)
& mem2(X_88,X_90,X_85) )
=> ( X_89 = X_90 ) )
& ! [X_91: $int] :
( ( $greatereq(X_91,1)
& $lesseq(X_91,X_82) )
<=> ? [X_92: $int] : mem2(X_91,X_92,X_85) )
& ! [X_93: $int] :
( ? [X_94: $int] : mem2(X_94,X_93,X_85)
=> mem0(X_93,g_s132_132) ) )
& ! [X_95: $int] :
( mem0(X_95,g_s132_132)
=> ? [X_96: $int] : mem2(X_96,X_95,X_83) )
& ! [X_97: $int,X_98: $int,X_99: $int] :
( ( mem2(X_98,X_97,X_83)
& mem2(X_99,X_97,X_83) )
=> ( X_98 = X_99 ) ) ) ) ).
tff('Define:ctx:220',axiom,
mem0(g_s361_352,g_s202_202) ).
tff('Define:ctx:221',axiom,
mem0(g_s362_353,g_s202_202) ).
tff('Define:ctx:222',axiom,
mem0(g_s363_354,g_s202_202) ).
tff('Define:ctx:223',axiom,
mem0(g_s364_355,g_s202_202) ).
tff('Define:ctx:224',axiom,
mem0(g_s365_356,g_s202_202) ).
tff('Define:ctx:225',axiom,
mem0(g_s366_357,g_s202_202) ).
tff('Define:ctx:226',axiom,
mem0(g_s367_358,g_s202_202) ).
tff('Define:ctx:227',axiom,
mem0(g_s368_359,g_s202_202) ).
tff('Define:ctx:228',axiom,
mem0(g_s369_360,g_s199_199) ).
tff('Define:ctx:229',axiom,
mem0(g_s370_361,g_s199_199) ).
tff('Define:ctx:23',axiom,
( ! [X_100: $int] :
( mem0(X_100,g_s133_133)
<=> ( ( X_100 = g_s134_134 )
| ( X_100 = g_s135_135 )
| ( X_100 = g_s136_136 )
| ( X_100 = g_s137_137 )
| ( X_100 = g_s138_138 )
| ( X_100 = g_s139_139 )
| ( X_100 = g_s140_140 )
| ( X_100 = g_s141_141 )
| ( X_100 = g_s142_142 )
| ( X_100 = g_s143_143 )
| ( X_100 = g_s144_144 )
| ( X_100 = g_s145_145 )
| ( X_100 = g_s146_146 )
| ( X_100 = g_s147_147 )
| ( X_100 = g_s148_148 )
| ( X_100 = g_s149_149 )
| ( X_100 = g_s150_150 ) ) )
& ( g_s134_134 != g_s135_135 )
& ( g_s135_135 != g_s136_136 )
& ( g_s136_136 != g_s137_137 )
& ( g_s137_137 != g_s138_138 )
& ( 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 ) ) ).
tff('Define:ctx:230',axiom,
mem0(g_s371_362,g_s199_199) ).
tff('Define:ctx:231',axiom,
( g_s282_273
<=> $true ) ).
tff('Define:ctx:232',axiom,
( g_s283_274
<=> $false ) ).
tff('Define:ctx:233',axiom,
g_s284_275 = $uminus(1000000000) ).
tff('Define:ctx:234',axiom,
g_s285_276 = $uminus(10000) ).
tff('Define:ctx:235',axiom,
g_s286_277 = $uminus(1) ).
tff('Define:ctx:236',axiom,
g_s287_278 = 0 ).
tff('Define:ctx:237',axiom,
g_s288_279 = 1 ).
tff('Define:ctx:238',axiom,
g_s289_280 = 2 ).
tff('Define:ctx:239',axiom,
g_s290_281 = 3 ).
tff('Define:ctx:24',axiom,
( ! [X_101: $int] :
( mem0(X_101,g_s151_151)
<=> ( ( X_101 = g_s152_152 )
| ( X_101 = g_s153_153 )
| ( X_101 = g_s154_154 )
| ( X_101 = g_s155_155 )
| ( X_101 = g_s156_156 )
| ( X_101 = g_s157_157 )
| ( X_101 = g_s158_158 )
| ( X_101 = g_s159_159 )
| ( X_101 = g_s160_160 )
| ( X_101 = g_s161_161 )
| ( X_101 = g_s162_162 )
| ( X_101 = g_s163_163 )
| ( X_101 = g_s164_164 )
| ( X_101 = g_s165_165 )
| ( X_101 = g_s166_166 )
| ( X_101 = g_s167_167 )
| ( X_101 = g_s168_168 ) ) )
& ( g_s152_152 != g_s153_153 )
& ( g_s153_153 != g_s154_154 )
& ( g_s154_154 != g_s155_155 )
& ( g_s155_155 != g_s156_156 )
& ( 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 ) ) ).
tff('Define:ctx:240',axiom,
g_s291_282 = 4 ).
tff('Define:ctx:241',axiom,
g_s292_283 = 5 ).
tff('Define:ctx:242',axiom,
g_s293_284 = 6 ).
tff('Define:ctx:243',axiom,
g_s294_285 = 7 ).
tff('Define:ctx:244',axiom,
g_s295_286 = 8 ).
tff('Define:ctx:245',axiom,
g_s296_287 = 9 ).
tff('Define:ctx:246',axiom,
g_s297_288 = 10 ).
tff('Define:ctx:247',axiom,
g_s298_289 = 11 ).
tff('Define:ctx:248',axiom,
g_s299_290 = 12 ).
tff('Define:ctx:249',axiom,
g_s300_291 = 13 ).
tff('Define:ctx:25',axiom,
( ! [X_102: $int] :
( mem0(X_102,g_s169_169)
<=> ( ( X_102 = g_s170_170 )
| ( X_102 = g_s171_171 )
| ( X_102 = g_s172_172 ) ) )
& ( g_s170_170 != g_s171_171 )
& ( g_s171_171 != g_s172_172 ) ) ).
tff('Define:ctx:250',axiom,
g_s301_292 = 14 ).
tff('Define:ctx:251',axiom,
g_s302_293 = 15 ).
tff('Define:ctx:252',axiom,
g_s303_294 = 16 ).
tff('Define:ctx:253',axiom,
g_s304_295 = 17 ).
tff('Define:ctx:254',axiom,
g_s305_296 = 18 ).
tff('Define:ctx:255',axiom,
g_s306_297 = 19 ).
tff('Define:ctx:256',axiom,
g_s307_298 = 20 ).
tff('Define:ctx:257',axiom,
g_s308_299 = 21 ).
tff('Define:ctx:258',axiom,
g_s309_300 = 22 ).
tff('Define:ctx:259',axiom,
g_s310_301 = 23 ).
tff('Define:ctx:26',axiom,
( ! [X_103: $int] :
( mem0(X_103,g_s173_173)
<=> ( ( X_103 = g_s174_174 )
| ( X_103 = g_s175_175 ) ) )
& ( g_s174_174 != g_s175_175 ) ) ).
tff('Define:ctx:260',axiom,
g_s311_302 = 24 ).
tff('Define:ctx:261',axiom,
g_s312_303 = 25 ).
tff('Define:ctx:262',axiom,
g_s313_304 = 26 ).
tff('Define:ctx:263',axiom,
g_s314_305 = 27 ).
tff('Define:ctx:264',axiom,
g_s315_306 = 28 ).
tff('Define:ctx:265',axiom,
g_s316_307 = 29 ).
tff('Define:ctx:266',axiom,
g_s317_308 = 30 ).
tff('Define:ctx:267',axiom,
g_s318_309 = 31 ).
tff('Define:ctx:268',axiom,
g_s319_310 = 32 ).
tff('Define:ctx:269',axiom,
g_s320_311 = 33 ).
tff('Define:ctx:27',axiom,
( ! [X_104: $int] :
( mem0(X_104,g_s176_176)
<=> ( ( X_104 = g_s177_177 )
| ( X_104 = g_s178_178 )
| ( X_104 = g_s179_179 )
| ( X_104 = g_s180_180 )
| ( X_104 = g_s181_181 )
| ( X_104 = g_s182_182 )
| ( X_104 = g_s183_183 )
| ( X_104 = g_s184_184 )
| ( X_104 = g_s185_185 ) ) )
& ( g_s177_177 != g_s178_178 )
& ( g_s178_178 != g_s179_179 )
& ( g_s179_179 != g_s180_180 )
& ( g_s180_180 != g_s181_181 )
& ( g_s181_181 != g_s182_182 )
& ( g_s182_182 != g_s183_183 )
& ( g_s183_183 != g_s184_184 )
& ( g_s184_184 != g_s185_185 ) ) ).
tff('Define:ctx:270',axiom,
g_s321_312 = 34 ).
tff('Define:ctx:271',axiom,
g_s322_313 = 35 ).
tff('Define:ctx:272',axiom,
g_s323_314 = 36 ).
tff('Define:ctx:273',axiom,
g_s324_315 = 37 ).
tff('Define:ctx:274',axiom,
g_s325_316 = 38 ).
tff('Define:ctx:275',axiom,
g_s326_317 = 39 ).
tff('Define:ctx:276',axiom,
g_s327_318 = 40 ).
tff('Define:ctx:277',axiom,
g_s328_319 = 41 ).
tff('Define:ctx:278',axiom,
g_s329_320 = 42 ).
tff('Define:ctx:279',axiom,
g_s330_321 = 43 ).
tff('Define:ctx:28',axiom,
( ! [X_105: $int] :
( mem0(X_105,g_s186_186)
<=> ( ( X_105 = g_s187_187 )
| ( X_105 = g_s188_188 )
| ( X_105 = g_s189_189 )
| ( X_105 = g_s190_190 ) ) )
& ( g_s187_187 != g_s188_188 )
& ( g_s188_188 != g_s189_189 )
& ( g_s189_189 != g_s190_190 ) ) ).
tff('Define:ctx:280',axiom,
g_s331_322 = 44 ).
tff('Define:ctx:281',axiom,
g_s332_323 = 45 ).
tff('Define:ctx:282',axiom,
g_s333_324 = 46 ).
tff('Define:ctx:283',axiom,
g_s334_325 = 47 ).
tff('Define:ctx:284',axiom,
g_s335_326 = 48 ).
tff('Define:ctx:285',axiom,
g_s336_327 = 49 ).
tff('Define:ctx:286',axiom,
g_s337_328 = 50 ).
tff('Define:ctx:287',axiom,
g_s338_329 = 51 ).
tff('Define:ctx:288',axiom,
g_s339_330 = 52 ).
tff('Define:ctx:289',axiom,
g_s340_331 = 53 ).
tff('Define:ctx:29',axiom,
( ! [X_106: $int] :
( mem0(X_106,g_s191_191)
<=> ( ( X_106 = g_s192_192 )
| ( X_106 = g_s193_193 )
| ( X_106 = g_s194_194 ) ) )
& ( g_s192_192 != g_s193_193 )
& ( g_s193_193 != g_s194_194 ) ) ).
tff('Define:ctx:290',axiom,
g_s341_332 = 54 ).
tff('Define:ctx:291',axiom,
g_s342_333 = 55 ).
tff('Define:ctx:292',axiom,
g_s343_334 = 56 ).
tff('Define:ctx:293',axiom,
g_s344_335 = 57 ).
tff('Define:ctx:294',axiom,
g_s345_336 = 58 ).
tff('Define:ctx:295',axiom,
g_s346_337 = 59 ).
tff('Define:ctx:296',axiom,
g_s347_338 = 60 ).
tff('Define:ctx:297',axiom,
g_s348_339 = 61 ).
tff('Define:ctx:298',axiom,
g_s349_340 = 62 ).
tff('Define:ctx:299',axiom,
g_s350_341 = 63 ).
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 )
| ( X_8 = g_s16_16 )
| ( X_8 = g_s17_17 ) ) )
& ( g_s13_13 != g_s14_14 )
& ( g_s14_14 != g_s15_15 )
& ( g_s15_15 != g_s16_16 )
& ( g_s16_16 != g_s17_17 ) ) ).
tff('Define:ctx:30',axiom,
! [X_107: $o] :
( mem3((X_107),g_s195_195)
<=> $true ) ).
tff('Define:ctx:300',axiom,
g_s351_342 = 64 ).
tff('Define:ctx:301',axiom,
g_s352_343 = 128 ).
tff('Define:ctx:302',axiom,
g_s353_344 = 200 ).
tff('Define:ctx:303',axiom,
g_s354_345 = 256 ).
tff('Define:ctx:304',axiom,
g_s355_346 = 288 ).
tff('Define:ctx:305',axiom,
g_s356_347 = 336 ).
tff('Define:ctx:306',axiom,
g_s357_348 = 1000 ).
tff('Define:ctx:307',axiom,
g_s358_349 = 1024 ).
tff('Define:ctx:308',axiom,
g_s359_350 = 7680 ).
tff('Define:ctx:309',axiom,
g_s360_351 = 131072 ).
tff('Define:ctx:31',axiom,
! [X_108: $o] :
( mem3((X_108),g_s196_196)
<=> $true ) ).
tff('Define:ctx:310',axiom,
g_s368_359 = 5242880 ).
tff('Define:ctx:311',axiom,
g_s361_352 = 2147483647 ).
tff('Define:ctx:312',axiom,
g_s362_353 = 2147483646 ).
tff('Define:ctx:313',axiom,
g_s365_356 = 1073741824 ).
tff('Define:ctx:314',axiom,
g_s366_357 = $uminus(1073741824) ).
tff('Define:ctx:315',axiom,
g_s364_355 = $uminus(2147483647) ).
tff('Define:ctx:316',axiom,
g_s367_358 = 1073741823 ).
tff('Define:ctx:317',axiom,
g_s369_360 = 0 ).
tff('Define:ctx:318',axiom,
g_s370_361 = 1 ).
tff('Define:ctx:319',axiom,
g_s371_362 = 2 ).
tff('Define:ctx:32',axiom,
! [X_109: $int] :
( mem0(X_109,g_s197_197)
<=> ( $greatereq(X_109,min_int)
& $lesseq(X_109,max_int) ) ) ).
tff('Define:ctx:320',axiom,
mem0(g_s372_363,g_s202_202) ).
tff('Define:ctx:321',axiom,
mem0(g_s373_364,g_s202_202) ).
tff('Define:ctx:322',axiom,
mem0(g_s374_365,g_s202_202) ).
tff('Define:ctx:323',axiom,
mem0(g_s375_366,g_s202_202) ).
tff('Define:ctx:324',axiom,
mem0(g_s376_367,g_s202_202) ).
tff('Define:ctx:325',axiom,
mem0(g_s377_368,g_s202_202) ).
tff('Define:ctx:326',axiom,
mem0(g_s378_369,g_s202_202) ).
tff('Define:ctx:327',axiom,
mem0(g_s379_370,g_s202_202) ).
tff('Define:ctx:328',axiom,
g_s372_363 = 4096 ).
tff('Define:ctx:329',axiom,
g_s373_364 = 8192 ).
tff('Define:ctx:33',axiom,
! [X_110: $int] :
( mem0(X_110,g_s198_198)
<=> ( $greatereq(X_110,min_int)
& $lesseq(X_110,max_int) ) ) ).
tff('Define:ctx:330',axiom,
g_s374_365 = 12288 ).
tff('Define:ctx:331',axiom,
g_s375_366 = 16384 ).
tff('Define:ctx:332',axiom,
g_s376_367 = 20480 ).
tff('Define:ctx:333',axiom,
g_s377_368 = 24576 ).
tff('Define:ctx:334',axiom,
g_s378_369 = 28672 ).
tff('Define:ctx:335',axiom,
g_s379_370 = 32768 ).
tff('Define:ctx:336',axiom,
! [X_638: $int] :
( mem0(X_638,g_s380_371)
=> mem0(X_638,g_s0_0) ) ).
tff('Define:ctx:337',axiom,
! [X_639: $int] :
( mem0(X_639,g_s380_371)
<=> ( ( X_639 = g_s2_2 )
| ( X_639 = g_s3_3 ) ) ) ).
tff('Define:ctx:338',axiom,
! [X_640: $int] :
( mem0(X_640,g_s381_372)
<=> ( $greatereq(X_640,min_int)
& $lesseq(X_640,max_int) ) ) ).
tff('Define:ctx:339',axiom,
! [X_641: $int] :
( mem0(X_641,g_s382_373)
<=> ( $greatereq(X_641,min_int)
& $lesseq(X_641,max_int) ) ) ).
tff('Define:ctx:34',axiom,
! [X_111: $int] :
( mem0(X_111,g_s199_199)
<=> ( $greatereq(X_111,min_int)
& $lesseq(X_111,max_int) ) ) ).
tff('Define:ctx:340',axiom,
! [X_642: $int] :
( mem0(X_642,g_s383_374)
<=> ( $greatereq(X_642,min_int)
& $lesseq(X_642,max_int) ) ) ).
tff('Define:ctx:341',axiom,
! [X_643: $int] :
( mem0(X_643,g_s384_375)
<=> ( $greatereq(X_643,min_int)
& $lesseq(X_643,max_int) ) ) ).
tff('Define:ctx:342',axiom,
! [X_644: $int] :
( mem0(X_644,g_s385_376)
<=> ( $greatereq(X_644,min_int)
& $lesseq(X_644,max_int) ) ) ).
tff('Define:ctx:343',axiom,
! [X_645: $int] :
( mem0(X_645,g_s386_377)
<=> ( $greatereq(X_645,min_int)
& $lesseq(X_645,max_int) ) ) ).
tff('Define:ctx:344',axiom,
! [X_646: $int] :
( mem0(X_646,g_s387_378)
<=> ( $greatereq(X_646,0)
& $lesseq(X_646,max_int) ) ) ).
tff('Define:ctx:345',axiom,
! [X_647: $int] :
( mem0(X_647,g_s388_379)
<=> ( $greatereq(X_647,min_int)
& $lesseq(X_647,max_int) ) ) ).
tff('Define:ctx:346',axiom,
! [X_648: $int] :
( mem0(X_648,g_s389_380)
<=> ( $greatereq(X_648,min_int)
& $lesseq(X_648,max_int) ) ) ).
tff('Define:ctx:347',axiom,
! [X_649: $int] :
( mem0(X_649,g_s390_381)
<=> ( $greatereq(X_649,min_int)
& $lesseq(X_649,max_int) ) ) ).
tff('Define:ctx:348',axiom,
! [X_650: $int] :
( mem0(X_650,g_s391_382)
<=> ( $greatereq(X_650,0)
& $lesseq(X_650,max_int) ) ) ).
tff('Define:ctx:349',axiom,
! [X_651: $int] :
( mem0(X_651,g_s392_383)
<=> ( $greatereq(X_651,min_int)
& $lesseq(X_651,max_int) ) ) ).
tff('Define:ctx:35',axiom,
! [X_112: $int] :
( mem0(X_112,g_s200_200)
<=> mem0(X_112,g_s199_199) ) ).
tff('Define:ctx:350',axiom,
! [X_652: $int] :
( mem0(X_652,g_s393_384)
<=> ( $greatereq(X_652,0)
& $lesseq(X_652,max_int) ) ) ).
tff('Define:ctx:351',axiom,
! [X_653: $int] :
( mem0(X_653,g_s394_385)
<=> ( $greatereq(X_653,0)
& $lesseq(X_653,max_int) ) ) ).
tff('Define:ctx:352',axiom,
! [X_654: $int] :
( mem0(X_654,g_s395_386)
<=> ( $greatereq(X_654,0)
& $lesseq(X_654,max_int) ) ) ).
tff('Define:ctx:353',axiom,
! [X_655: $int] :
( mem0(X_655,g_s396_387)
=> mem0(X_655,g_s380_371) ) ).
tff('Define:ctx:354',axiom,
! [X_656: $int] :
( mem0(X_656,g_s396_387)
<=> mem0(X_656,g_s380_371) ) ).
tff('Define:ctx:355',axiom,
! [X_657: $int] :
( mem0(X_657,g_s397_388)
=> mem0(X_657,g_s8_8) ) ).
tff('Define:ctx:356',axiom,
! [X_658: $int] :
( mem0(X_658,g_s397_388)
<=> mem0(X_658,g_s8_8) ) ).
tff('Define:ctx:357',axiom,
! [X_659: $int] :
( mem0(X_659,g_s398_389)
=> mem0(X_659,g_s56_56) ) ).
tff('Define:ctx:358',axiom,
! [X_660: $int] :
( mem0(X_660,g_s398_389)
<=> ( ( X_660 = g_s57_57 )
| ( X_660 = g_s58_58 )
| ( X_660 = g_s59_59 )
| ( X_660 = g_s60_60 )
| ( X_660 = g_s61_61 )
| ( X_660 = g_s62_62 )
| ( X_660 = g_s63_63 )
| ( X_660 = g_s64_64 )
| ( X_660 = g_s65_65 )
| ( X_660 = g_s66_66 )
| ( X_660 = g_s67_67 )
| ( X_660 = g_s71_71 ) ) ) ).
tff('Define:ctx:359',axiom,
! [X_661: $int] :
( mem0(X_661,g_s399_390)
<=> mem0(X_661,g_s72_72) ) ).
tff('Define:ctx:36',axiom,
! [X_113: $int] :
( mem0(X_113,g_s201_201)
<=> mem0(X_113,g_s199_199) ) ).
tff('Define:ctx:360',axiom,
! [X_662: $int] :
( mem0(X_662,g_s400_391)
<=> mem0(X_662,g_s398_389) ) ).
tff('Define:ctx:361',axiom,
! [X_663: $int] :
( mem0(X_663,g_s401_392)
<=> mem0(X_663,g_s399_390) ) ).
tff('Define:ctx:362',axiom,
! [X_664: $int] :
( mem0(X_664,g_s402_393)
<=> mem0(X_664,g_s110_110) ) ).
tff('Define:ctx:363',axiom,
! [X_665: $int] :
( mem0(X_665,g_s403_394)
<=> mem0(X_665,g_s56_56) ) ).
tff('Define:ctx:364',axiom,
! [X_666: $int] :
( mem0(X_666,g_s404_395)
<=> mem0(X_666,g_s72_72) ) ).
tff('Define:ctx:365',axiom,
! [X_667: $int] :
( mem0(X_667,g_s405_396)
<=> mem0(X_667,g_s403_394) ) ).
tff('Define:ctx:366',axiom,
! [X_668: $int] :
( mem0(X_668,g_s406_397)
<=> mem0(X_668,g_s404_395) ) ).
tff('Define:ctx:367',axiom,
( $greatereq(g_s407_398,0)
& $lesseq(g_s407_398,max_int) ) ).
tff('Define:ctx:368',axiom,
g_s407_398 = 3 ).
tff('Define:ctx:369',axiom,
( $greatereq(g_s408_399,0)
& $lesseq(g_s408_399,max_int) ) ).
tff('Define:ctx:37',axiom,
! [X_114: $int] :
( mem0(X_114,g_s202_202)
<=> mem0(X_114,g_s197_197) ) ).
tff('Define:ctx:370',axiom,
g_s408_399 = 64 ).
tff('Define:ctx:371',axiom,
! [X_669: $int] :
( mem0(X_669,g_s409_400)
=> ( $greatereq(X_669,min_int)
& $lesseq(X_669,max_int) ) ) ).
tff('Define:ctx:372',axiom,
~ ! [X_670: $int] :
( mem0(X_670,g_s409_400)
<=> $false ) ).
tff('Define:ctx:373',axiom,
! [X_671: $int] :
( mem0(X_671,g_s409_400)
<=> ( $greatereq(X_671,0)
& $lesseq(X_671,g_s407_398) ) ) ).
tff('Define:ctx:374',axiom,
! [X_672: $int] :
( mem0(X_672,g_s410_401)
=> ( $greatereq(X_672,min_int)
& $lesseq(X_672,max_int) ) ) ).
tff('Define:ctx:375',axiom,
~ ! [X_673: $int] :
( mem0(X_673,g_s410_401)
<=> $false ) ).
tff('Define:ctx:376',axiom,
! [X_674: $int] :
( mem0(X_674,g_s410_401)
<=> ( $greatereq(X_674,0)
& $lesseq(X_674,g_s408_399) ) ) ).
tff('Define:ctx:377',axiom,
( $greatereq(g_s411_402,0)
& $lesseq(g_s411_402,max_int) ) ).
tff('Define:ctx:378',axiom,
g_s411_402 = 4 ).
tff('Define:ctx:379',axiom,
! [X_675: $int] :
( mem0(X_675,g_s412_403)
=> ( $greatereq(X_675,min_int)
& $lesseq(X_675,max_int) ) ) ).
tff('Define:ctx:38',axiom,
! [X_115: $o] :
( mem3((X_115),g_s203_203)
<=> mem3((X_115),g_s195_195) ) ).
tff('Define:ctx:380',axiom,
~ ! [X_676: $int] :
( mem0(X_676,g_s412_403)
<=> $false ) ).
tff('Define:ctx:381',axiom,
! [X_677: $int] :
( mem0(X_677,g_s412_403)
<=> ( $greatereq(X_677,1)
& $lesseq(X_677,g_s411_402) ) ) ).
tff('Define:ctx:382',axiom,
! [X_678: $int] :
( mem0(X_678,g_s413_404)
=> mem0(X_678,g_s409_400) ) ).
tff('Define:ctx:383',axiom,
! [X_679: $int] :
( mem0(X_679,g_s413_404)
<=> mem0(X_679,g_s409_400) ) ).
tff('Define:ctx:384',axiom,
! [X_680: $int] :
( mem0(X_680,g_s414_405)
=> mem0(X_680,g_s410_401) ) ).
tff('Define:ctx:385',axiom,
! [X_681: $int] :
( mem0(X_681,g_s414_405)
<=> mem0(X_681,g_s410_401) ) ).
tff('Define:ctx:386',axiom,
! [X_682: $int] :
( mem0(X_682,g_s415_406)
=> ( $greatereq(X_682,0)
& $lesseq(X_682,max_int) ) ) ).
tff('Define:ctx:387',axiom,
mem0(g_s416_407,g_s415_406) ).
tff('Define:ctx:388',axiom,
! [X_683: $int] :
( mem0(X_683,g_s417_408)
=> ( $greatereq(X_683,0)
& $lesseq(X_683,max_int) ) ) ).
tff('Define:ctx:389',axiom,
! [X_684: $int] :
( mem0(X_684,g_s417_408)
<=> mem0(X_684,g_s415_406) ) ).
tff('Define:ctx:39',axiom,
! [X_116: $int] :
( mem0(X_116,g_s204_204)
<=> ( $greatereq(X_116,min_int)
& $lesseq(X_116,max_int) ) ) ).
tff('Define:ctx:390',axiom,
! [X_685: $int] :
( mem0(X_685,g_s418_409)
=> ( $greatereq(X_685,0)
& $lesseq(X_685,max_int) ) ) ).
tff('Define:ctx:391',axiom,
! [X_686: $int] :
( mem0(X_686,g_s419_410)
=> ( $greatereq(X_686,0)
& $lesseq(X_686,max_int) ) ) ).
tff('Define:ctx:392',axiom,
! [X_687: $o] :
( mem3((X_687),g_s420_411)
<=> $true ) ).
tff('Define:ctx:393',axiom,
! [X_688: $o] :
( mem3((X_688),g_s421_412)
<=> $true ) ).
tff('Define:ctx:394',axiom,
! [X_689: $int] :
( mem0(X_689,g_s422_413)
<=> ( $greatereq(X_689,min_int)
& $lesseq(X_689,max_int) ) ) ).
tff('Define:ctx:395',axiom,
mem0(g_s423_414,g_s199_199) ).
tff('Define:ctx:396',axiom,
mem0(g_s424_415,g_s199_199) ).
tff('Define:ctx:397',axiom,
mem0(g_s425_416,g_s199_199) ).
tff('Define:ctx:398',axiom,
mem0(g_s426_417,g_s199_199) ).
tff('Define:ctx:399',axiom,
mem0(g_s427_418,g_s199_199) ).
tff('Define:ctx:4',axiom,
( ! [X_9: $int] :
( mem0(X_9,g_s18_18)
<=> ( ( X_9 = g_s19_19 )
| ( X_9 = g_s20_20 ) ) )
& ( g_s19_19 != g_s20_20 ) ) ).
tff('Define:ctx:40',axiom,
! [X_117: $int] :
( mem0(X_117,g_s205_205)
<=> ( $greatereq(X_117,min_int)
& $lesseq(X_117,max_int) ) ) ).
tff('Define:ctx:400',axiom,
mem0(g_s428_419,g_s199_199) ).
tff('Define:ctx:401',axiom,
mem0(g_s429_420,g_s199_199) ).
tff('Define:ctx:402',axiom,
mem0(g_s430_421,g_s199_199) ).
tff('Define:ctx:403',axiom,
mem0(g_s431_422,g_s199_199) ).
tff('Define:ctx:404',axiom,
mem0(g_s432_423,g_s199_199) ).
tff('Define:ctx:405',axiom,
mem0(g_s433_424,g_s199_199) ).
tff('Define:ctx:406',axiom,
mem0(g_s434_425,g_s199_199) ).
tff('Define:ctx:407',axiom,
mem0(g_s435_426,g_s199_199) ).
tff('Define:ctx:408',axiom,
mem0(g_s436_427,g_s199_199) ).
tff('Define:ctx:409',axiom,
mem0(g_s437_428,g_s199_199) ).
tff('Define:ctx:41',axiom,
g_s206_206 = 0 ).
tff('Define:ctx:410',axiom,
mem0(g_s438_429,g_s199_199) ).
tff('Define:ctx:411',axiom,
mem0(g_s439_430,g_s199_199) ).
tff('Define:ctx:412',axiom,
mem0(g_s440_431,g_s199_199) ).
tff('Define:ctx:413',axiom,
mem0(g_s441_432,g_s199_199) ).
tff('Define:ctx:414',axiom,
mem0(g_s442_433,g_s199_199) ).
tff('Define:ctx:415',axiom,
mem0(g_s443_434,g_s199_199) ).
tff('Define:ctx:416',axiom,
mem0(g_s444_435,g_s199_199) ).
tff('Define:ctx:417',axiom,
mem0(g_s445_436,g_s199_199) ).
tff('Define:ctx:418',axiom,
mem0(g_s446_437,g_s199_199) ).
tff('Define:ctx:419',axiom,
mem0(g_s447_438,g_s199_199) ).
tff('Define:ctx:42',axiom,
g_s207_207 = 1 ).
tff('Define:ctx:420',axiom,
mem0(g_s448_439,g_s199_199) ).
tff('Define:ctx:421',axiom,
mem0(g_s449_440,g_s199_199) ).
tff('Define:ctx:422',axiom,
mem0(g_s450_441,g_s199_199) ).
tff('Define:ctx:423',axiom,
mem0(g_s451_442,g_s199_199) ).
tff('Define:ctx:424',axiom,
mem0(g_s452_443,g_s199_199) ).
tff('Define:ctx:425',axiom,
mem0(g_s453_444,g_s199_199) ).
tff('Define:ctx:426',axiom,
mem0(g_s454_445,g_s199_199) ).
tff('Define:ctx:427',axiom,
mem0(g_s455_446,g_s199_199) ).
tff('Define:ctx:428',axiom,
mem0(g_s456_447,g_s199_199) ).
tff('Define:ctx:429',axiom,
mem0(g_s457_448,g_s199_199) ).
tff('Define:ctx:43',axiom,
g_s208_208 = 2 ).
tff('Define:ctx:430',axiom,
mem0(g_s458_449,g_s199_199) ).
tff('Define:ctx:431',axiom,
mem0(g_s459_450,g_s199_199) ).
tff('Define:ctx:432',axiom,
mem0(g_s460_451,g_s199_199) ).
tff('Define:ctx:433',axiom,
! [X_690: $int] :
( mem0(X_690,g_s461_452)
<=> mem0(X_690,g_s199_199) ) ).
tff('Define:ctx:434',axiom,
mem0(g_s462_453,g_s199_199) ).
tff('Define:ctx:435',axiom,
mem0(g_s463_454,g_s199_199) ).
tff('Define:ctx:436',axiom,
mem0(g_s464_455,g_s199_199) ).
tff('Define:ctx:437',axiom,
mem0(g_s465_456,g_s199_199) ).
tff('Define:ctx:438',axiom,
mem0(g_s466_457,g_s199_199) ).
tff('Define:ctx:439',axiom,
mem0(g_s467_458,g_s199_199) ).
tff('Define:ctx:44',axiom,
g_s209_209 = 3 ).
tff('Define:ctx:440',axiom,
mem0(g_s468_459,g_s199_199) ).
tff('Define:ctx:441',axiom,
g_s465_456 = g_s206_206 ).
tff('Define:ctx:442',axiom,
g_s466_457 = g_s208_208 ).
tff('Define:ctx:443',axiom,
g_s467_458 = g_s207_207 ).
tff('Define:ctx:444',axiom,
g_s468_459 = g_s209_209 ).
tff('Define:ctx:445',axiom,
g_s423_414 = g_s206_206 ).
tff('Define:ctx:446',axiom,
g_s424_415 = g_s207_207 ).
tff('Define:ctx:447',axiom,
g_s425_416 = g_s208_208 ).
tff('Define:ctx:448',axiom,
g_s426_417 = g_s206_206 ).
tff('Define:ctx:449',axiom,
g_s427_418 = g_s207_207 ).
tff('Define:ctx:45',axiom,
g_s210_210 = 4 ).
tff('Define:ctx:450',axiom,
g_s428_419 = g_s208_208 ).
tff('Define:ctx:451',axiom,
g_s429_420 = g_s206_206 ).
tff('Define:ctx:452',axiom,
g_s430_421 = g_s207_207 ).
tff('Define:ctx:453',axiom,
g_s431_422 = g_s208_208 ).
tff('Define:ctx:454',axiom,
g_s432_423 = g_s206_206 ).
tff('Define:ctx:455',axiom,
g_s433_424 = g_s207_207 ).
tff('Define:ctx:456',axiom,
g_s434_425 = g_s208_208 ).
tff('Define:ctx:457',axiom,
g_s435_426 = g_s209_209 ).
tff('Define:ctx:458',axiom,
g_s436_427 = g_s210_210 ).
tff('Define:ctx:459',axiom,
g_s437_428 = g_s206_206 ).
tff('Define:ctx:46',axiom,
g_s211_211 = 5 ).
tff('Define:ctx:460',axiom,
g_s438_429 = g_s207_207 ).
tff('Define:ctx:461',axiom,
g_s439_430 = g_s208_208 ).
tff('Define:ctx:462',axiom,
g_s440_431 = g_s209_209 ).
tff('Define:ctx:463',axiom,
g_s441_432 = g_s206_206 ).
tff('Define:ctx:464',axiom,
g_s442_433 = g_s207_207 ).
tff('Define:ctx:465',axiom,
g_s443_434 = g_s208_208 ).
tff('Define:ctx:466',axiom,
g_s444_435 = g_s209_209 ).
tff('Define:ctx:467',axiom,
g_s445_436 = g_s206_206 ).
tff('Define:ctx:468',axiom,
g_s446_437 = g_s207_207 ).
tff('Define:ctx:469',axiom,
g_s447_438 = g_s208_208 ).
tff('Define:ctx:47',axiom,
g_s212_212 = 6 ).
tff('Define:ctx:470',axiom,
g_s448_439 = g_s209_209 ).
tff('Define:ctx:471',axiom,
g_s449_440 = g_s210_210 ).
tff('Define:ctx:472',axiom,
g_s450_441 = g_s206_206 ).
tff('Define:ctx:473',axiom,
g_s451_442 = g_s207_207 ).
tff('Define:ctx:474',axiom,
g_s452_443 = g_s208_208 ).
tff('Define:ctx:475',axiom,
g_s453_444 = g_s206_206 ).
tff('Define:ctx:476',axiom,
g_s454_445 = g_s207_207 ).
tff('Define:ctx:477',axiom,
g_s455_446 = g_s206_206 ).
tff('Define:ctx:478',axiom,
g_s456_447 = g_s207_207 ).
tff('Define:ctx:479',axiom,
g_s457_448 = g_s208_208 ).
tff('Define:ctx:48',axiom,
g_s213_213 = 7 ).
tff('Define:ctx:480',axiom,
g_s458_449 = g_s206_206 ).
tff('Define:ctx:481',axiom,
g_s459_450 = g_s207_207 ).
tff('Define:ctx:482',axiom,
g_s460_451 = g_s208_208 ).
tff('Define:ctx:483',axiom,
g_s462_453 = g_s206_206 ).
tff('Define:ctx:484',axiom,
g_s463_454 = g_s207_207 ).
tff('Define:ctx:485',axiom,
g_s464_455 = g_s208_208 ).
tff('Define:ctx:486',axiom,
mem0(g_s469_460,g_s199_199) ).
tff('Define:ctx:487',axiom,
mem0(g_s470_461,g_s199_199) ).
tff('Define:ctx:488',axiom,
mem0(g_s471_462,g_s199_199) ).
tff('Define:ctx:489',axiom,
mem0(g_s472_463,g_s199_199) ).
tff('Define:ctx:49',axiom,
g_s214_214 = 8 ).
tff('Define:ctx:490',axiom,
mem0(g_s473_464,g_s199_199) ).
tff('Define:ctx:491',axiom,
mem0(g_s474_465,g_s199_199) ).
tff('Define:ctx:492',axiom,
mem0(g_s475_466,g_s199_199) ).
tff('Define:ctx:493',axiom,
mem0(g_s476_467,g_s199_199) ).
tff('Define:ctx:494',axiom,
mem0(g_s477_468,g_s199_199) ).
tff('Define:ctx:495',axiom,
mem0(g_s478_469,g_s199_199) ).
tff('Define:ctx:496',axiom,
mem0(g_s479_470,g_s199_199) ).
tff('Define:ctx:497',axiom,
mem0(g_s480_471,g_s199_199) ).
tff('Define:ctx:498',axiom,
mem0(g_s481_472,g_s199_199) ).
tff('Define:ctx:499',axiom,
mem0(g_s482_473,g_s199_199) ).
tff('Define:ctx:5',axiom,
( ! [X_10: $int] :
( mem0(X_10,g_s21_21)
<=> ( ( X_10 = g_s22_22 )
| ( X_10 = g_s23_23 )
| ( X_10 = g_s24_24 )
| ( X_10 = g_s25_25 ) ) )
& ( g_s22_22 != g_s23_23 )
& ( g_s23_23 != g_s24_24 )
& ( g_s24_24 != g_s25_25 ) ) ).
tff('Define:ctx:50',axiom,
g_s215_215 = 9 ).
tff('Define:ctx:500',axiom,
mem0(g_s483_474,g_s199_199) ).
tff('Define:ctx:501',axiom,
mem0(g_s484_475,g_s199_199) ).
tff('Define:ctx:502',axiom,
mem0(g_s485_476,g_s199_199) ).
tff('Define:ctx:503',axiom,
mem0(g_s486_477,g_s199_199) ).
tff('Define:ctx:504',axiom,
mem0(g_s487_478,g_s199_199) ).
tff('Define:ctx:505',axiom,
mem0(g_s488_479,g_s199_199) ).
tff('Define:ctx:506',axiom,
mem0(g_s489_480,g_s199_199) ).
tff('Define:ctx:507',axiom,
mem0(g_s490_481,g_s199_199) ).
tff('Define:ctx:508',axiom,
mem0(g_s491_482,g_s199_199) ).
tff('Define:ctx:509',axiom,
mem0(g_s492_483,g_s199_199) ).
tff('Define:ctx:51',axiom,
g_s216_216 = 10 ).
tff('Define:ctx:510',axiom,
mem0(g_s493_484,g_s199_199) ).
tff('Define:ctx:511',axiom,
g_s469_460 = g_s206_206 ).
tff('Define:ctx:512',axiom,
g_s470_461 = g_s207_207 ).
tff('Define:ctx:513',axiom,
g_s471_462 = g_s208_208 ).
tff('Define:ctx:514',axiom,
g_s472_463 = g_s209_209 ).
tff('Define:ctx:515',axiom,
g_s473_464 = g_s210_210 ).
tff('Define:ctx:516',axiom,
g_s474_465 = g_s211_211 ).
tff('Define:ctx:517',axiom,
g_s475_466 = g_s212_212 ).
tff('Define:ctx:518',axiom,
g_s476_467 = g_s213_213 ).
tff('Define:ctx:519',axiom,
g_s477_468 = g_s214_214 ).
tff('Define:ctx:52',axiom,
g_s217_217 = 11 ).
tff('Define:ctx:520',axiom,
g_s478_469 = g_s215_215 ).
tff('Define:ctx:521',axiom,
g_s479_470 = g_s216_216 ).
tff('Define:ctx:522',axiom,
g_s480_471 = g_s217_217 ).
tff('Define:ctx:523',axiom,
g_s481_472 = g_s218_218 ).
tff('Define:ctx:524',axiom,
g_s482_473 = g_s219_219 ).
tff('Define:ctx:525',axiom,
g_s483_474 = g_s220_220 ).
tff('Define:ctx:526',axiom,
g_s484_475 = g_s221_221 ).
tff('Define:ctx:527',axiom,
g_s485_476 = g_s222_222 ).
tff('Define:ctx:528',axiom,
g_s486_477 = g_s223_223 ).
tff('Define:ctx:529',axiom,
g_s487_478 = g_s224_224 ).
tff('Define:ctx:53',axiom,
g_s218_218 = 12 ).
tff('Define:ctx:530',axiom,
g_s488_479 = g_s225_225 ).
tff('Define:ctx:531',axiom,
g_s489_480 = g_s226_226 ).
tff('Define:ctx:532',axiom,
g_s490_481 = g_s227_227 ).
tff('Define:ctx:533',axiom,
g_s491_482 = g_s228_228 ).
tff('Define:ctx:534',axiom,
g_s492_483 = g_s229_229 ).
tff('Define:ctx:535',axiom,
g_s493_484 = g_s230_230 ).
tff('Define:ctx:536',axiom,
mem0(g_s494_485,g_s199_199) ).
tff('Define:ctx:537',axiom,
mem0(g_s495_486,g_s199_199) ).
tff('Define:ctx:538',axiom,
mem0(g_s496_487,g_s199_199) ).
tff('Define:ctx:539',axiom,
mem0(g_s497_488,g_s199_199) ).
tff('Define:ctx:54',axiom,
g_s219_219 = 13 ).
tff('Define:ctx:540',axiom,
mem0(g_s498_489,g_s199_199) ).
tff('Define:ctx:541',axiom,
mem0(g_s499_490,g_s199_199) ).
tff('Define:ctx:542',axiom,
mem0(g_s500_491,g_s199_199) ).
tff('Define:ctx:543',axiom,
mem0(g_s501_492,g_s199_199) ).
tff('Define:ctx:544',axiom,
mem0(g_s502_493,g_s199_199) ).
tff('Define:ctx:545',axiom,
mem0(g_s503_494,g_s199_199) ).
tff('Define:ctx:546',axiom,
mem0(g_s504_495,g_s199_199) ).
tff('Define:ctx:547',axiom,
mem0(g_s505_496,g_s199_199) ).
tff('Define:ctx:548',axiom,
mem0(g_s506_497,g_s199_199) ).
tff('Define:ctx:549',axiom,
mem0(g_s507_498,g_s199_199) ).
tff('Define:ctx:55',axiom,
g_s220_220 = 14 ).
tff('Define:ctx:550',axiom,
g_s494_485 = g_s206_206 ).
tff('Define:ctx:551',axiom,
g_s495_486 = g_s207_207 ).
tff('Define:ctx:552',axiom,
g_s496_487 = g_s208_208 ).
tff('Define:ctx:553',axiom,
g_s497_488 = g_s209_209 ).
tff('Define:ctx:554',axiom,
g_s498_489 = g_s210_210 ).
tff('Define:ctx:555',axiom,
g_s499_490 = g_s211_211 ).
tff('Define:ctx:556',axiom,
g_s500_491 = g_s212_212 ).
tff('Define:ctx:557',axiom,
g_s501_492 = g_s213_213 ).
tff('Define:ctx:558',axiom,
g_s502_493 = g_s214_214 ).
tff('Define:ctx:559',axiom,
g_s503_494 = g_s215_215 ).
tff('Define:ctx:56',axiom,
g_s221_221 = 15 ).
tff('Define:ctx:560',axiom,
g_s504_495 = g_s216_216 ).
tff('Define:ctx:561',axiom,
g_s505_496 = g_s217_217 ).
tff('Define:ctx:562',axiom,
g_s506_497 = g_s218_218 ).
tff('Define:ctx:563',axiom,
g_s508_499 = g_s206_206 ).
tff('Define:ctx:564',axiom,
g_s509_500 = g_s207_207 ).
tff('Define:ctx:565',axiom,
g_s510_501 = g_s208_208 ).
tff('Define:ctx:566',axiom,
g_s511_502 = g_s209_209 ).
tff('Define:ctx:567',axiom,
g_s512_503 = g_s210_210 ).
tff('Define:ctx:568',axiom,
g_s513_504 = g_s211_211 ).
tff('Define:ctx:569',axiom,
g_s514_505 = g_s212_212 ).
tff('Define:ctx:57',axiom,
g_s222_222 = 16 ).
tff('Define:ctx:570',axiom,
g_s515_506 = g_s213_213 ).
tff('Define:ctx:571',axiom,
g_s516_507 = g_s214_214 ).
tff('Define:ctx:572',axiom,
g_s517_508 = g_s215_215 ).
tff('Define:ctx:573',axiom,
g_s518_509 = g_s216_216 ).
tff('Define:ctx:574',axiom,
g_s519_510 = g_s217_217 ).
tff('Define:ctx:575',axiom,
g_s520_511 = g_s218_218 ).
tff('Define:ctx:576',axiom,
g_s521_512 = g_s219_219 ).
tff('Define:ctx:577',axiom,
g_s522_513 = g_s220_220 ).
tff('Define:ctx:578',axiom,
g_s523_514 = g_s221_221 ).
tff('Define:ctx:579',axiom,
g_s524_515 = g_s222_222 ).
tff('Define:ctx:58',axiom,
g_s223_223 = 17 ).
tff('Define:ctx:580',axiom,
g_s525_516 = g_s223_223 ).
tff('Define:ctx:581',axiom,
g_s526_517 = g_s224_224 ).
tff('Define:ctx:582',axiom,
g_s527_518 = g_s225_225 ).
tff('Define:ctx:583',axiom,
g_s528_519 = g_s226_226 ).
tff('Define:ctx:584',axiom,
g_s529_520 = g_s227_227 ).
tff('Define:ctx:585',axiom,
g_s530_521 = g_s228_228 ).
tff('Define:ctx:586',axiom,
g_s531_522 = g_s229_229 ).
tff('Define:ctx:587',axiom,
g_s532_523 = g_s230_230 ).
tff('Define:ctx:588',axiom,
g_s533_524 = g_s231_231 ).
tff('Define:ctx:589',axiom,
g_s534_525 = g_s232_232 ).
tff('Define:ctx:59',axiom,
g_s224_224 = 18 ).
tff('Define:ctx:590',axiom,
g_s535_526 = g_s233_233 ).
tff('Define:ctx:591',axiom,
g_s536_527 = g_s234_234 ).
tff('Define:ctx:592',axiom,
g_s537_528 = g_s235_235 ).
tff('Define:ctx:593',axiom,
g_s538_529 = g_s236_236 ).
tff('Define:ctx:594',axiom,
g_s539_530 = g_s237_237 ).
tff('Define:ctx:595',axiom,
g_s540_531 = g_s206_206 ).
tff('Define:ctx:596',axiom,
g_s541_532 = g_s207_207 ).
tff('Define:ctx:597',axiom,
g_s542_533 = g_s208_208 ).
tff('Define:ctx:598',axiom,
g_s543_534 = g_s209_209 ).
tff('Define:ctx:599',axiom,
g_s544_535 = g_s210_210 ).
tff('Define:ctx:6',axiom,
( ! [X_11: $int] :
( mem0(X_11,g_s26_26)
<=> ( ( X_11 = g_s27_27 )
| ( X_11 = g_s28_28 )
| ( X_11 = g_s29_29 )
| ( X_11 = g_s30_30 )
| ( X_11 = g_s31_31 ) ) )
& ( g_s27_27 != g_s28_28 )
& ( g_s28_28 != g_s29_29 )
& ( g_s29_29 != g_s30_30 )
& ( g_s30_30 != g_s31_31 ) ) ).
tff('Define:ctx:60',axiom,
g_s225_225 = 19 ).
tff('Define:ctx:600',axiom,
g_s545_536 = g_s211_211 ).
tff('Define:ctx:601',axiom,
g_s546_537 = g_s212_212 ).
tff('Define:ctx:602',axiom,
mem0(g_s547_538,g_s199_199) ).
tff('Define:ctx:603',axiom,
mem0(g_s548_539,g_s199_199) ).
tff('Define:ctx:604',axiom,
mem0(g_s549_540,g_s199_199) ).
tff('Define:ctx:605',axiom,
mem0(g_s550_541,g_s199_199) ).
tff('Define:ctx:606',axiom,
mem0(g_s551_542,g_s199_199) ).
tff('Define:ctx:607',axiom,
mem0(g_s552_543,g_s199_199) ).
tff('Define:ctx:608',axiom,
mem0(g_s553_544,g_s199_199) ).
tff('Define:ctx:609',axiom,
mem0(g_s554_545,g_s199_199) ).
tff('Define:ctx:61',axiom,
g_s226_226 = 20 ).
tff('Define:ctx:610',axiom,
mem0(g_s555_546,g_s199_199) ).
tff('Define:ctx:611',axiom,
mem0(g_s556_547,g_s199_199) ).
tff('Define:ctx:612',axiom,
mem0(g_s557_548,g_s199_199) ).
tff('Define:ctx:613',axiom,
mem0(g_s558_549,g_s199_199) ).
tff('Define:ctx:614',axiom,
mem0(g_s559_550,g_s199_199) ).
tff('Define:ctx:615',axiom,
mem0(g_s560_551,g_s199_199) ).
tff('Define:ctx:616',axiom,
mem0(g_s561_552,g_s199_199) ).
tff('Define:ctx:617',axiom,
mem0(g_s562_553,g_s199_199) ).
tff('Define:ctx:618',axiom,
mem0(g_s563_554,g_s199_199) ).
tff('Define:ctx:619',axiom,
mem0(g_s564_555,g_s199_199) ).
tff('Define:ctx:62',axiom,
g_s227_227 = 21 ).
tff('Define:ctx:620',axiom,
mem0(g_s565_556,g_s199_199) ).
tff('Define:ctx:621',axiom,
mem0(g_s566_557,g_s199_199) ).
tff('Define:ctx:622',axiom,
mem0(g_s567_558,g_s199_199) ).
tff('Define:ctx:623',axiom,
mem0(g_s568_559,g_s199_199) ).
tff('Define:ctx:624',axiom,
mem0(g_s569_560,g_s199_199) ).
tff('Define:ctx:625',axiom,
mem0(g_s570_561,g_s199_199) ).
tff('Define:ctx:626',axiom,
mem0(g_s571_562,g_s199_199) ).
tff('Define:ctx:627',axiom,
mem0(g_s572_563,g_s199_199) ).
tff('Define:ctx:628',axiom,
mem0(g_s573_564,g_s199_199) ).
tff('Define:ctx:629',axiom,
mem0(g_s574_565,g_s199_199) ).
tff('Define:ctx:63',axiom,
g_s228_228 = 22 ).
tff('Define:ctx:630',axiom,
mem0(g_s575_566,g_s199_199) ).
tff('Define:ctx:631',axiom,
mem0(g_s576_567,g_s199_199) ).
tff('Define:ctx:632',axiom,
mem0(g_s577_568,g_s199_199) ).
tff('Define:ctx:633',axiom,
mem0(g_s578_569,g_s199_199) ).
tff('Define:ctx:634',axiom,
g_s547_538 = g_s206_206 ).
tff('Define:ctx:635',axiom,
g_s548_539 = g_s207_207 ).
tff('Define:ctx:636',axiom,
g_s549_540 = g_s208_208 ).
tff('Define:ctx:637',axiom,
g_s550_541 = g_s209_209 ).
tff('Define:ctx:638',axiom,
g_s551_542 = g_s210_210 ).
tff('Define:ctx:639',axiom,
g_s552_543 = g_s211_211 ).
tff('Define:ctx:64',axiom,
g_s229_229 = 23 ).
tff('Define:ctx:640',axiom,
g_s553_544 = g_s212_212 ).
tff('Define:ctx:641',axiom,
g_s554_545 = g_s213_213 ).
tff('Define:ctx:642',axiom,
g_s555_546 = g_s214_214 ).
tff('Define:ctx:643',axiom,
g_s556_547 = g_s215_215 ).
tff('Define:ctx:644',axiom,
g_s557_548 = g_s216_216 ).
tff('Define:ctx:645',axiom,
g_s558_549 = g_s217_217 ).
tff('Define:ctx:646',axiom,
g_s559_550 = g_s218_218 ).
tff('Define:ctx:647',axiom,
g_s560_551 = g_s219_219 ).
tff('Define:ctx:648',axiom,
g_s561_552 = g_s220_220 ).
tff('Define:ctx:649',axiom,
g_s562_553 = g_s221_221 ).
tff('Define:ctx:65',axiom,
g_s230_230 = 24 ).
tff('Define:ctx:650',axiom,
g_s563_554 = g_s222_222 ).
tff('Define:ctx:651',axiom,
g_s564_555 = g_s223_223 ).
tff('Define:ctx:652',axiom,
g_s565_556 = g_s224_224 ).
tff('Define:ctx:653',axiom,
g_s566_557 = g_s225_225 ).
tff('Define:ctx:654',axiom,
g_s567_558 = g_s226_226 ).
tff('Define:ctx:655',axiom,
g_s568_559 = g_s227_227 ).
tff('Define:ctx:656',axiom,
g_s569_560 = g_s228_228 ).
tff('Define:ctx:657',axiom,
g_s570_561 = g_s229_229 ).
tff('Define:ctx:658',axiom,
g_s571_562 = g_s230_230 ).
tff('Define:ctx:659',axiom,
g_s572_563 = g_s231_231 ).
tff('Define:ctx:66',axiom,
g_s231_231 = 25 ).
tff('Define:ctx:660',axiom,
g_s573_564 = g_s232_232 ).
tff('Define:ctx:661',axiom,
g_s574_565 = g_s233_233 ).
tff('Define:ctx:662',axiom,
g_s575_566 = g_s234_234 ).
tff('Define:ctx:663',axiom,
g_s576_567 = g_s235_235 ).
tff('Define:ctx:664',axiom,
g_s577_568 = g_s236_236 ).
tff('Define:ctx:665',axiom,
g_s578_569 = g_s237_237 ).
tff('Define:ctx:666',axiom,
( $greatereq(g_s579_570,min_int)
& $lesseq(g_s579_570,max_int) ) ).
tff('Define:ctx:667',axiom,
( $greatereq(g_s580_571,min_int)
& $lesseq(g_s580_571,max_int) ) ).
tff('Define:ctx:668',axiom,
( $greatereq(g_s581_572,min_int)
& $lesseq(g_s581_572,max_int) ) ).
tff('Define:ctx:669',axiom,
( $greatereq(g_s582_573,min_int)
& $lesseq(g_s582_573,max_int) ) ).
tff('Define:ctx:67',axiom,
g_s232_232 = 26 ).
tff('Define:ctx:670',axiom,
( $greatereq(g_s583_574,min_int)
& $lesseq(g_s583_574,max_int) ) ).
tff('Define:ctx:671',axiom,
mem0(g_s584_575,g_s385_376) ).
tff('Define:ctx:672',axiom,
g_s584_575 = $uminus(131072000) ).
tff('Define:ctx:673',axiom,
! [X_691: $int] :
( mem0(X_691,g_s585_576)
=> ( $greatereq(X_691,0)
& $lesseq(X_691,max_int) ) ) ).
tff('Define:ctx:674',axiom,
~ ! [X_692: $int] :
( mem0(X_692,g_s585_576)
<=> $false ) ).
tff('Define:ctx:675',axiom,
! [X_693: $int] :
( mem0(X_693,g_s585_576)
<=> ( $greatereq(X_693,0)
& $lesseq(X_693,31) ) ) ).
tff('Define:ctx:676',axiom,
! [X_694: $int] :
( mem0(X_694,g_s586_577)
<=> mem0(X_694,g_s585_576) ) ).
tff('Define:ctx:677',axiom,
! [X_695: $int] :
( mem0(X_695,g_s587_578)
=> mem0(X_695,g_s176_176) ) ).
tff('Define:ctx:678',axiom,
! [X_696: $int] :
( mem0(X_696,g_s587_578)
<=> ( ( X_696 = g_s178_178 )
| ( X_696 = g_s179_179 )
| ( X_696 = g_s180_180 )
| ( X_696 = g_s181_181 )
| ( X_696 = g_s182_182 )
| ( X_696 = g_s183_183 )
| ( X_696 = g_s184_184 )
| ( X_696 = g_s185_185 ) ) ) ).
tff('Define:ctx:679',axiom,
mem0(g_s177_177,g_s176_176) ).
tff('Define:ctx:68',axiom,
g_s233_233 = 27 ).
tff('Define:ctx:680',axiom,
~ mem0(g_s177_177,g_s587_578) ).
tff('Define:ctx:681',axiom,
! [X_697: $int] :
( mem0(X_697,g_s588_579)
<=> mem0(X_697,g_s132_132) ) ).
tff('Define:ctx:682',axiom,
! [X_698: $int] :
( mem0(X_698,g_s589_580)
<=> mem0(X_698,g_s133_133) ) ).
tff('Define:ctx:683',axiom,
! [X_699: $int] :
( mem0(X_699,g_s590_581)
=> mem0(X_699,g_s129_129) ) ).
tff('Define:ctx:684',axiom,
! [X_700: $int] :
( mem0(X_700,g_s591_582)
=> mem0(X_700,g_s129_129) ) ).
tff('Define:ctx:685',axiom,
! [X_701: $int] :
( mem0(X_701,g_s592_583)
=> mem0(X_701,g_s591_582) ) ).
tff('Define:ctx:686',axiom,
! [X_702: $int] :
( mem0(X_702,g_s592_583)
<=> mem0(X_702,g_s590_581) ) ).
tff('Define:ctx:687',axiom,
! [X_703: $int] :
( mem0(X_703,g_s593_584)
=> ( $greatereq(X_703,0)
& $lesseq(X_703,max_int) ) ) ).
tff('Define:ctx:688',axiom,
~ ! [X_704: $int] :
( mem0(X_704,g_s593_584)
<=> $false ) ).
tff('Define:ctx:689',axiom,
! [X_705: $int] :
( mem0(X_705,g_s593_584)
<=> ( $greatereq(X_705,0)
& $lesseq(X_705,2) ) ) ).
tff('Define:ctx:69',axiom,
g_s234_234 = 28 ).
tff('Define:ctx:690',axiom,
mem0(g_s594_585,g_s593_584) ).
tff('Define:ctx:691',axiom,
~ ! [X_706: $int] :
( mem0(X_706,g_s590_581)
<=> $false ) ).
tff('Define:ctx:692',axiom,
! [X_707: $int] :
( mem0(X_707,g_s595_586)
=> mem0(X_707,g_s130_130) ) ).
tff('Define:ctx:693',axiom,
~ ! [X_708: $int] :
( mem0(X_708,g_s595_586)
<=> $false ) ).
tff('Define:ctx:694',axiom,
! [X_709: $int] :
( mem0(X_709,g_s596_587)
<=> mem0(X_709,g_s130_130) ) ).
tff('Define:ctx:695',axiom,
! [X_710: $int] :
( mem0(X_710,g_s597_588)
=> mem0(X_710,g_s596_587) ) ).
tff('Define:ctx:696',axiom,
! [X_711: $int] :
( mem0(X_711,g_s597_588)
<=> mem0(X_711,g_s595_586) ) ).
tff('Define:ctx:697',axiom,
! [X_712: $int] :
( mem0(X_712,g_s598_589)
<=> ( $greatereq(X_712,0)
& $lesseq(X_712,max_int) ) ) ).
tff('Define:ctx:698',axiom,
! [X_713: $int] :
( mem0(X_713,g_s599_590)
=> mem0(X_713,g_s131_131) ) ).
tff('Define:ctx:699',axiom,
! [X_714: $int] :
( mem0(X_714,g_s600_591)
<=> mem0(X_714,g_s131_131) ) ).
tff('Define:ctx:7',axiom,
( ! [X_12: $int] :
( mem0(X_12,g_s32_32)
<=> ( ( X_12 = g_s33_33 )
| ( X_12 = g_s34_34 )
| ( X_12 = g_s35_35 ) ) )
& ( g_s33_33 != g_s34_34 )
& ( g_s34_34 != g_s35_35 ) ) ).
tff('Define:ctx:70',axiom,
g_s235_235 = 29 ).
tff('Define:ctx:700',axiom,
! [X_715: $int] :
( mem0(X_715,g_s601_592)
=> mem0(X_715,g_s131_131) ) ).
tff('Define:ctx:701',axiom,
! [X_716: $int] :
( mem0(X_716,g_s601_592)
<=> mem0(X_716,g_s599_590) ) ).
tff('Define:ctx:702',axiom,
! [X_717: $int] :
( mem0(X_717,g_s602_593)
=> mem0(X_717,g_s132_132) ) ).
tff('Define:ctx:703',axiom,
! [X_718: $int] :
( mem0(X_718,g_s603_594)
=> mem0(X_718,g_s588_579) ) ).
tff('Define:ctx:704',axiom,
! [X_719: $int] :
( mem0(X_719,g_s604_595)
<=> ( $greatereq(X_719,0)
& $lesseq(X_719,max_int) ) ) ).
tff('Define:ctx:705',axiom,
! [X_720: $int] :
( mem0(X_720,g_s605_596)
<=> ( $greatereq(X_720,0)
& $lesseq(X_720,max_int) ) ) ).
tff('Define:ctx:706',axiom,
! [X_721: $int] :
( mem0(X_721,g_s606_597)
<=> ( $greatereq(X_721,0)
& $lesseq(X_721,max_int) ) ) ).
tff('Define:ctx:707',axiom,
! [X_722: $int] :
( mem0(X_722,g_s607_598)
=> ( $greatereq(X_722,0)
& $lesseq(X_722,max_int) ) ) ).
tff('Define:ctx:708',axiom,
~ ! [X_723: $int] :
( mem0(X_723,g_s607_598)
<=> $false ) ).
tff('Define:ctx:709',axiom,
! [X_724: $int] :
( mem0(X_724,g_s607_598)
<=> ! [X_725: $int,X_726: $int] :
( ( mem0(X_725,g_s607_598)
& ! [X_727: $int] :
( mem0(X_727,g_s607_598)
=> $lesseq(X_725,X_727) )
& mem0(X_726,g_s607_598)
& ! [X_728: $int] :
( mem0(X_728,g_s607_598)
=> $greatereq(X_726,X_728) ) )
=> ( $greatereq(X_724,X_725)
& $lesseq(X_724,X_726) ) ) ) ).
tff('Define:ctx:71',axiom,
g_s236_236 = 30 ).
tff('Define:ctx:710',axiom,
! [X_729: $int] :
( mem0(X_729,g_s608_599)
=> ( $greatereq(X_729,0)
& $lesseq(X_729,max_int) ) ) ).
tff('Define:ctx:711',axiom,
~ ! [X_730: $int] :
( mem0(X_730,g_s608_599)
<=> $false ) ).
tff('Define:ctx:712',axiom,
! [X_731: $int] :
( mem0(X_731,g_s608_599)
<=> ! [X_732: $int,X_733: $int] :
( ( mem0(X_732,g_s608_599)
& ! [X_734: $int] :
( mem0(X_734,g_s608_599)
=> $lesseq(X_732,X_734) )
& mem0(X_733,g_s608_599)
& ! [X_735: $int] :
( mem0(X_735,g_s608_599)
=> $greatereq(X_733,X_735) ) )
=> ( $greatereq(X_731,X_732)
& $lesseq(X_731,X_733) ) ) ) ).
tff('Define:ctx:713',axiom,
! [X_736: $int] :
( mem0(X_736,g_s609_600)
=> ( $greatereq(X_736,0)
& $lesseq(X_736,max_int) ) ) ).
tff('Define:ctx:714',axiom,
~ ! [X_737: $int] :
( mem0(X_737,g_s609_600)
<=> $false ) ).
tff('Define:ctx:715',axiom,
! [X_738: $int] :
( mem0(X_738,g_s609_600)
<=> ! [X_739: $int,X_740: $int] :
( ( mem0(X_739,g_s609_600)
& ! [X_741: $int] :
( mem0(X_741,g_s609_600)
=> $lesseq(X_739,X_741) )
& mem0(X_740,g_s609_600)
& ! [X_742: $int] :
( mem0(X_742,g_s609_600)
=> $greatereq(X_740,X_742) ) )
=> ( $greatereq(X_738,X_739)
& $lesseq(X_738,X_740) ) ) ) ).
tff('Define:ctx:716',axiom,
! [X_743: $int] :
( mem0(X_743,g_s610_601)
=> ( $greatereq(X_743,0)
& $lesseq(X_743,max_int) ) ) ).
tff('Define:ctx:717',axiom,
~ ! [X_744: $int] :
( mem0(X_744,g_s610_601)
<=> $false ) ).
tff('Define:ctx:718',axiom,
! [X_745: $int] :
( mem0(X_745,g_s610_601)
<=> ! [X_746: $int,X_747: $int] :
( ( mem0(X_746,g_s610_601)
& ! [X_748: $int] :
( mem0(X_748,g_s610_601)
=> $lesseq(X_746,X_748) )
& mem0(X_747,g_s610_601)
& ! [X_749: $int] :
( mem0(X_749,g_s610_601)
=> $greatereq(X_747,X_749) ) )
=> ( $greatereq(X_745,X_746)
& $lesseq(X_745,X_747) ) ) ) ).
tff('Define:ctx:719',axiom,
! [X_750: $int] :
( mem0(X_750,g_s611_602)
=> ( $greatereq(X_750,0)
& $lesseq(X_750,max_int) ) ) ).
tff('Define:ctx:72',axiom,
g_s237_237 = 31 ).
tff('Define:ctx:720',axiom,
~ ! [X_751: $int] :
( mem0(X_751,g_s611_602)
<=> $false ) ).
tff('Define:ctx:721',axiom,
! [X_752: $int] :
( mem0(X_752,g_s611_602)
<=> ! [X_753: $int,X_754: $int] :
( ( mem0(X_753,g_s611_602)
& ! [X_755: $int] :
( mem0(X_755,g_s611_602)
=> $lesseq(X_753,X_755) )
& mem0(X_754,g_s611_602)
& ! [X_756: $int] :
( mem0(X_756,g_s611_602)
=> $greatereq(X_754,X_756) ) )
=> ( $greatereq(X_752,X_753)
& $lesseq(X_752,X_754) ) ) ) ).
tff('Define:ctx:722',axiom,
! [X_757: $int] :
( mem0(X_757,g_s612_603)
=> ( $greatereq(X_757,0)
& $lesseq(X_757,max_int) ) ) ).
tff('Define:ctx:723',axiom,
~ ! [X_758: $int] :
( mem0(X_758,g_s612_603)
<=> $false ) ).
tff('Define:ctx:724',axiom,
! [X_759: $int] :
( mem0(X_759,g_s612_603)
<=> ! [X_760: $int,X_761: $int] :
( ( mem0(X_760,g_s612_603)
& ! [X_762: $int] :
( mem0(X_762,g_s612_603)
=> $lesseq(X_760,X_762) )
& mem0(X_761,g_s612_603)
& ! [X_763: $int] :
( mem0(X_763,g_s612_603)
=> $greatereq(X_761,X_763) ) )
=> ( $greatereq(X_759,X_760)
& $lesseq(X_759,X_761) ) ) ) ).
tff('Define:ctx:725',axiom,
! [X_764: $int] :
( mem0(X_764,g_s613_604)
=> ( $greatereq(X_764,0)
& $lesseq(X_764,max_int) ) ) ).
tff('Define:ctx:726',axiom,
~ ! [X_765: $int] :
( mem0(X_765,g_s613_604)
<=> $false ) ).
tff('Define:ctx:727',axiom,
! [X_766: $int] :
( mem0(X_766,g_s613_604)
<=> ! [X_767: $int,X_768: $int] :
( ( mem0(X_767,g_s613_604)
& ! [X_769: $int] :
( mem0(X_769,g_s613_604)
=> $lesseq(X_767,X_769) )
& mem0(X_768,g_s613_604)
& ! [X_770: $int] :
( mem0(X_770,g_s613_604)
=> $greatereq(X_768,X_770) ) )
=> ( $greatereq(X_766,X_767)
& $lesseq(X_766,X_768) ) ) ) ).
tff('Define:ctx:728',axiom,
! [X_771: $int] :
( mem0(X_771,g_s614_605)
=> ( $greatereq(X_771,0)
& $lesseq(X_771,max_int) ) ) ).
tff('Define:ctx:729',axiom,
~ ! [X_772: $int] :
( mem0(X_772,g_s614_605)
<=> $false ) ).
tff('Define:ctx:73',axiom,
? [X_118: set_4] :
( ! [X_119: $o,X_120: $o] :
( mem4((X_120),(X_119),X_118)
<=> mem4((X_120),(X_119),g_s238_238) )
& ! [X_121: $o,X_122: $o,X_123: $o] :
( ( mem4((X_121),(X_122),X_118)
& mem4((X_121),(X_123),X_118) )
=> ( (X_122)
<=> (X_123) ) )
& ! [X_124: $o] :
( $true
<=> ? [X_125: $o] : mem4((X_124),(X_125),X_118) )
& ! [X_126: $o] :
( ? [X_127: $o] : mem4((X_127),(X_126),X_118)
=> $true ) ) ).
tff('Define:ctx:730',axiom,
! [X_773: $int] :
( mem0(X_773,g_s614_605)
<=> ! [X_774: $int,X_775: $int] :
( ( mem0(X_774,g_s614_605)
& ! [X_776: $int] :
( mem0(X_776,g_s614_605)
=> $lesseq(X_774,X_776) )
& mem0(X_775,g_s614_605)
& ! [X_777: $int] :
( mem0(X_777,g_s614_605)
=> $greatereq(X_775,X_777) ) )
=> ( $greatereq(X_773,X_774)
& $lesseq(X_773,X_775) ) ) ) ).
tff('Define:ctx:731',axiom,
! [X_778: $int] :
( mem0(X_778,g_s615_606)
=> ( $greatereq(X_778,0)
& $lesseq(X_778,max_int) ) ) ).
tff('Define:ctx:732',axiom,
~ ! [X_779: $int] :
( mem0(X_779,g_s615_606)
<=> $false ) ).
tff('Define:ctx:733',axiom,
! [X_780: $int] :
( mem0(X_780,g_s615_606)
<=> ! [X_781: $int,X_782: $int] :
( ( mem0(X_781,g_s615_606)
& ! [X_783: $int] :
( mem0(X_783,g_s615_606)
=> $lesseq(X_781,X_783) )
& mem0(X_782,g_s615_606)
& ! [X_784: $int] :
( mem0(X_784,g_s615_606)
=> $greatereq(X_782,X_784) ) )
=> ( $greatereq(X_780,X_781)
& $lesseq(X_780,X_782) ) ) ) ).
tff('Define:ctx:734',axiom,
! [X_785: $int] :
( mem0(X_785,g_s616_607)
=> ( $greatereq(X_785,0)
& $lesseq(X_785,max_int) ) ) ).
tff('Define:ctx:735',axiom,
~ ! [X_786: $int] :
( mem0(X_786,g_s616_607)
<=> $false ) ).
tff('Define:ctx:736',axiom,
! [X_787: $int] :
( mem0(X_787,g_s616_607)
<=> ! [X_788: $int,X_789: $int] :
( ( mem0(X_788,g_s616_607)
& ! [X_790: $int] :
( mem0(X_790,g_s616_607)
=> $lesseq(X_788,X_790) )
& mem0(X_789,g_s616_607)
& ! [X_791: $int] :
( mem0(X_791,g_s616_607)
=> $greatereq(X_789,X_791) ) )
=> ( $greatereq(X_787,X_788)
& $lesseq(X_787,X_789) ) ) ) ).
tff('Define:ctx:737',axiom,
! [X_792: $int] :
( mem0(X_792,g_s617_608)
=> ( $greatereq(X_792,0)
& $lesseq(X_792,max_int) ) ) ).
tff('Define:ctx:738',axiom,
~ ! [X_793: $int] :
( mem0(X_793,g_s617_608)
<=> $false ) ).
tff('Define:ctx:739',axiom,
! [X_794: $int] :
( mem0(X_794,g_s617_608)
<=> ! [X_795: $int,X_796: $int] :
( ( mem0(X_795,g_s617_608)
& ! [X_797: $int] :
( mem0(X_797,g_s617_608)
=> $lesseq(X_795,X_797) )
& mem0(X_796,g_s617_608)
& ! [X_798: $int] :
( mem0(X_798,g_s617_608)
=> $greatereq(X_796,X_798) ) )
=> ( $greatereq(X_794,X_795)
& $lesseq(X_794,X_796) ) ) ) ).
tff('Define:ctx:74',axiom,
! [X_128: $o,X_129: $o] :
( mem4((X_129),(X_128),g_s238_238)
<=> ( $true
& ( (X_128)
<=> ( (X_129)
<=> $true ) ) ) ) ).
tff('Define:ctx:740',axiom,
! [X_799: $int] :
( mem0(X_799,g_s618_609)
=> ( $greatereq(X_799,0)
& $lesseq(X_799,max_int) ) ) ).
tff('Define:ctx:741',axiom,
~ ! [X_800: $int] :
( mem0(X_800,g_s618_609)
<=> $false ) ).
tff('Define:ctx:742',axiom,
! [X_801: $int] :
( mem0(X_801,g_s618_609)
<=> ! [X_802: $int,X_803: $int] :
( ( mem0(X_802,g_s618_609)
& ! [X_804: $int] :
( mem0(X_804,g_s618_609)
=> $lesseq(X_802,X_804) )
& mem0(X_803,g_s618_609)
& ! [X_805: $int] :
( mem0(X_805,g_s618_609)
=> $greatereq(X_803,X_805) ) )
=> ( $greatereq(X_801,X_802)
& $lesseq(X_801,X_803) ) ) ) ).
tff('Define:ctx:743',axiom,
! [X_806: $int] :
( mem0(X_806,g_s617_608)
<=> mem0(X_806,g_s618_609) ) ).
tff('Define:ctx:744',axiom,
! [X_807: $int] :
( mem0(X_807,g_s619_610)
=> ( $greatereq(X_807,0)
& $lesseq(X_807,max_int) ) ) ).
tff('Define:ctx:745',axiom,
~ ! [X_808: $int] :
( mem0(X_808,g_s619_610)
<=> $false ) ).
tff('Define:ctx:746',axiom,
! [X_809: $int] :
( ( X_809 = 0 )
=> mem0(X_809,g_s619_610) ) ).
tff('Define:ctx:747',axiom,
! [X_810: $int] :
( mem0(X_810,g_s619_610)
<=> ! [X_811: $int,X_812: $int] :
( ( mem0(X_811,g_s619_610)
& ! [X_813: $int] :
( mem0(X_813,g_s619_610)
=> $lesseq(X_811,X_813) )
& mem0(X_812,g_s619_610)
& ! [X_814: $int] :
( mem0(X_814,g_s619_610)
=> $greatereq(X_812,X_814) ) )
=> ( $greatereq(X_810,X_811)
& $lesseq(X_810,X_812) ) ) ) ).
tff('Define:ctx:748',axiom,
! [X_815: $int] :
( mem0(X_815,g_s620_611)
<=> mem0(X_815,g_s619_610) ) ).
tff('Define:ctx:749',axiom,
! [X_816: $int] :
( mem0(X_816,g_s621_612)
=> ( $greatereq(X_816,0)
& $lesseq(X_816,max_int) ) ) ).
tff('Define:ctx:75',axiom,
? [X_130: set_4] :
( ! [X_131: $o,X_132: $o] :
( mem4((X_132),(X_131),X_130)
<=> mem4((X_132),(X_131),g_s240_239) )
& ! [X_133: $o,X_134: $o,X_135: $o] :
( ( mem4((X_133),(X_134),X_130)
& mem4((X_133),(X_135),X_130) )
=> ( (X_134)
<=> (X_135) ) )
& ! [X_136: $o] :
( $true
<=> ? [X_137: $o] : mem4((X_136),(X_137),X_130) )
& ! [X_138: $o] :
( ? [X_139: $o] : mem4((X_139),(X_138),X_130)
=> $true ) ) ).
tff('Define:ctx:750',axiom,
~ ! [X_817: $int] :
( mem0(X_817,g_s621_612)
<=> $false ) ).
tff('Define:ctx:751',axiom,
! [X_818: $int] :
( mem0(X_818,g_s621_612)
<=> ! [X_819: $int,X_820: $int] :
( ( mem0(X_819,g_s621_612)
& ! [X_821: $int] :
( mem0(X_821,g_s621_612)
=> $lesseq(X_819,X_821) )
& mem0(X_820,g_s621_612)
& ! [X_822: $int] :
( mem0(X_822,g_s621_612)
=> $greatereq(X_820,X_822) ) )
=> ( $greatereq(X_818,X_819)
& $lesseq(X_818,X_820) ) ) ) ).
tff('Define:ctx:752',axiom,
! [X_823: $int] :
( mem0(X_823,g_s622_613)
=> ( $greatereq(X_823,0)
& $lesseq(X_823,max_int) ) ) ).
tff('Define:ctx:753',axiom,
~ ! [X_824: $int] :
( mem0(X_824,g_s622_613)
<=> $false ) ).
tff('Define:ctx:754',axiom,
! [X_825: $int] :
( mem0(X_825,g_s622_613)
<=> ! [X_826: $int,X_827: $int] :
( ( mem0(X_826,g_s622_613)
& ! [X_828: $int] :
( mem0(X_828,g_s622_613)
=> $lesseq(X_826,X_828) )
& mem0(X_827,g_s622_613)
& ! [X_829: $int] :
( mem0(X_829,g_s622_613)
=> $greatereq(X_827,X_829) ) )
=> ( $greatereq(X_825,X_826)
& $lesseq(X_825,X_827) ) ) ) ).
tff('Define:ctx:755',axiom,
! [X_830: $int] :
( mem0(X_830,g_s621_612)
<=> mem0(X_830,g_s622_613) ) ).
tff('Define:ctx:756',axiom,
! [X_831: $int] :
( mem0(X_831,g_s615_606)
<=> mem0(X_831,g_s616_607) ) ).
tff('Define:ctx:757',axiom,
! [X_832: $int] :
( mem0(X_832,g_s623_614)
=> ( $greatereq(X_832,0)
& $lesseq(X_832,max_int) ) ) ).
tff('Define:ctx:758',axiom,
~ ! [X_833: $int] :
( mem0(X_833,g_s623_614)
<=> $false ) ).
tff('Define:ctx:759',axiom,
! [X_834: $int] :
( mem0(X_834,g_s623_614)
<=> ! [X_835: $int,X_836: $int] :
( ( mem0(X_835,g_s623_614)
& ! [X_837: $int] :
( mem0(X_837,g_s623_614)
=> $lesseq(X_835,X_837) )
& mem0(X_836,g_s623_614)
& ! [X_838: $int] :
( mem0(X_838,g_s623_614)
=> $greatereq(X_836,X_838) ) )
=> ( $greatereq(X_834,X_835)
& $lesseq(X_834,X_836) ) ) ) ).
tff('Define:ctx:76',axiom,
! [X_140: $o,X_141: $o] :
( mem4((X_141),(X_140),g_s240_239)
<=> mem4((X_141),(X_140),g_s238_238) ) ).
tff('Define:ctx:760',axiom,
! [X_839: $int] :
( mem0(X_839,g_s624_615)
=> ( $greatereq(X_839,0)
& $lesseq(X_839,max_int) ) ) ).
tff('Define:ctx:761',axiom,
~ ! [X_840: $int] :
( mem0(X_840,g_s624_615)
<=> $false ) ).
tff('Define:ctx:762',axiom,
! [X_841: $int] :
( mem0(X_841,g_s624_615)
<=> ! [X_842: $int,X_843: $int] :
( ( mem0(X_842,g_s623_614)
& ! [X_844: $int] :
( mem0(X_844,g_s623_614)
=> $lesseq(X_842,X_844) )
& mem0(X_843,g_s623_614)
& ! [X_845: $int] :
( mem0(X_845,g_s623_614)
=> $greatereq(X_843,X_845) ) )
=> ( $greatereq(X_841,X_842)
& $lesseq(X_841,X_843) ) ) ) ).
tff('Define:ctx:763',axiom,
! [X_846: $int] :
( mem0(X_846,g_s624_615)
<=> mem0(X_846,g_s623_614) ) ).
tff('Define:ctx:764',axiom,
! [X_847: $int] :
( mem0(X_847,g_s625_616)
=> ( $greatereq(X_847,0)
& $lesseq(X_847,max_int) ) ) ).
tff('Define:ctx:765',axiom,
~ ! [X_848: $int] :
( mem0(X_848,g_s625_616)
<=> $false ) ).
tff('Define:ctx:766',axiom,
! [X_849: $int] :
( mem0(X_849,g_s625_616)
<=> ! [X_850: $int,X_851: $int] :
( ( mem0(X_850,g_s625_616)
& ! [X_852: $int] :
( mem0(X_852,g_s625_616)
=> $lesseq(X_850,X_852) )
& mem0(X_851,g_s625_616)
& ! [X_853: $int] :
( mem0(X_853,g_s625_616)
=> $greatereq(X_851,X_853) ) )
=> ( $greatereq(X_849,X_850)
& $lesseq(X_849,X_851) ) ) ) ).
tff('Define:ctx:767',axiom,
! [X_854: $int] :
( mem0(X_854,g_s626_617)
=> ( $greatereq(X_854,0)
& $lesseq(X_854,max_int) ) ) ).
tff('Define:ctx:768',axiom,
~ ! [X_855: $int] :
( mem0(X_855,g_s626_617)
<=> $false ) ).
tff('Define:ctx:769',axiom,
! [X_856: $int] :
( mem0(X_856,g_s626_617)
<=> ! [X_857: $int,X_858: $int] :
( ( mem0(X_857,g_s625_616)
& ! [X_859: $int] :
( mem0(X_859,g_s625_616)
=> $lesseq(X_857,X_859) )
& mem0(X_858,g_s625_616)
& ! [X_860: $int] :
( mem0(X_860,g_s625_616)
=> $greatereq(X_858,X_860) ) )
=> ( $greatereq(X_856,X_857)
& $lesseq(X_856,X_858) ) ) ) ).
tff('Define:ctx:77',axiom,
? [X_142: set_4] :
( ! [X_143: $o,X_144: $o] :
( mem4((X_144),(X_143),X_142)
<=> mem4((X_144),(X_143),g_s241_240) )
& ! [X_145: $o,X_146: $o,X_147: $o] :
( ( mem4((X_145),(X_146),X_142)
& mem4((X_145),(X_147),X_142) )
=> ( (X_146)
<=> (X_147) ) )
& ! [X_148: $o] :
( $true
<=> ? [X_149: $o] : mem4((X_148),(X_149),X_142) )
& ! [X_150: $o] :
( ? [X_151: $o] : mem4((X_151),(X_150),X_142)
=> $true ) ) ).
tff('Define:ctx:770',axiom,
! [X_861: $int] :
( mem0(X_861,g_s626_617)
<=> mem0(X_861,g_s625_616) ) ).
tff('Define:ctx:771',axiom,
! [X_862: $int] :
( mem0(X_862,g_s627_618)
=> ( $greatereq(X_862,0)
& $lesseq(X_862,max_int) ) ) ).
tff('Define:ctx:772',axiom,
~ ! [X_863: $int] :
( mem0(X_863,g_s627_618)
<=> $false ) ).
tff('Define:ctx:773',axiom,
! [X_864: $int] :
( mem0(X_864,g_s627_618)
<=> ! [X_865: $int,X_866: $int] :
( ( mem0(X_865,g_s627_618)
& ! [X_867: $int] :
( mem0(X_867,g_s627_618)
=> $lesseq(X_865,X_867) )
& mem0(X_866,g_s627_618)
& ! [X_868: $int] :
( mem0(X_868,g_s627_618)
=> $greatereq(X_866,X_868) ) )
=> ( $greatereq(X_864,X_865)
& $lesseq(X_864,X_866) ) ) ) ).
tff('Define:ctx:774',axiom,
! [X_869: $int] :
( mem0(X_869,g_s628_619)
=> ( $greatereq(X_869,0)
& $lesseq(X_869,max_int) ) ) ).
tff('Define:ctx:775',axiom,
~ ! [X_870: $int] :
( mem0(X_870,g_s628_619)
<=> $false ) ).
tff('Define:ctx:776',axiom,
! [X_871: $int] :
( mem0(X_871,g_s628_619)
<=> ! [X_872: $int,X_873: $int] :
( ( mem0(X_872,g_s628_619)
& ! [X_874: $int] :
( mem0(X_874,g_s628_619)
=> $lesseq(X_872,X_874) )
& mem0(X_873,g_s628_619)
& ! [X_875: $int] :
( mem0(X_875,g_s628_619)
=> $greatereq(X_873,X_875) ) )
=> ( $greatereq(X_871,X_872)
& $lesseq(X_871,X_873) ) ) ) ).
tff('Define:ctx:777',axiom,
! [X_876: $int] :
( mem0(X_876,g_s629_620)
=> ( $greatereq(X_876,0)
& $lesseq(X_876,max_int) ) ) ).
tff('Define:ctx:778',axiom,
~ ! [X_877: $int] :
( mem0(X_877,g_s629_620)
<=> $false ) ).
tff('Define:ctx:779',axiom,
! [X_878: $int] :
( mem0(X_878,g_s629_620)
<=> ! [X_879: $int,X_880: $int] :
( ( mem0(X_879,g_s629_620)
& ! [X_881: $int] :
( mem0(X_881,g_s629_620)
=> $lesseq(X_879,X_881) )
& mem0(X_880,g_s629_620)
& ! [X_882: $int] :
( mem0(X_882,g_s629_620)
=> $greatereq(X_880,X_882) ) )
=> ( $greatereq(X_878,X_879)
& $lesseq(X_878,X_880) ) ) ) ).
tff('Define:ctx:78',axiom,
! [X_152: $o,X_153: $o] :
( mem4((X_153),(X_152),g_s241_240)
<=> ( $true
& ( (X_152)
<=> ( (X_153)
<=> $false ) ) ) ) ).
tff('Define:ctx:780',axiom,
! [X_883: $int] :
( mem0(X_883,g_s630_621)
=> ( $greatereq(X_883,0)
& $lesseq(X_883,max_int) ) ) ).
tff('Define:ctx:781',axiom,
~ ! [X_884: $int] :
( mem0(X_884,g_s630_621)
<=> $false ) ).
tff('Define:ctx:782',axiom,
! [X_885: $int] :
( mem0(X_885,g_s630_621)
<=> ! [X_886: $int,X_887: $int] :
( ( mem0(X_886,g_s630_621)
& ! [X_888: $int] :
( mem0(X_888,g_s630_621)
=> $lesseq(X_886,X_888) )
& mem0(X_887,g_s630_621)
& ! [X_889: $int] :
( mem0(X_889,g_s630_621)
=> $greatereq(X_887,X_889) ) )
=> ( $greatereq(X_885,X_886)
& $lesseq(X_885,X_887) ) ) ) ).
tff('Define:ctx:783',axiom,
! [X_890: $int] :
( mem0(X_890,g_s631_622)
=> ( $greatereq(X_890,0)
& $lesseq(X_890,max_int) ) ) ).
tff('Define:ctx:784',axiom,
~ ! [X_891: $int] :
( mem0(X_891,g_s631_622)
<=> $false ) ).
tff('Define:ctx:785',axiom,
! [X_892: $int] :
( mem0(X_892,g_s631_622)
<=> ! [X_893: $int,X_894: $int] :
( ( mem0(X_893,g_s630_621)
& ! [X_895: $int] :
( mem0(X_895,g_s630_621)
=> $lesseq(X_893,X_895) )
& mem0(X_894,g_s630_621)
& ! [X_896: $int] :
( mem0(X_896,g_s630_621)
=> $greatereq(X_894,X_896) ) )
=> ( $greatereq(X_892,X_893)
& $lesseq(X_892,X_894) ) ) ) ).
tff('Define:ctx:786',axiom,
! [X_897: $int] :
( mem0(X_897,g_s631_622)
<=> mem0(X_897,g_s630_621) ) ).
tff('Define:ctx:787',axiom,
! [X_898: $int] :
( mem0(X_898,g_s632_623)
=> ( $greatereq(X_898,0)
& $lesseq(X_898,max_int) ) ) ).
tff('Define:ctx:788',axiom,
~ ! [X_899: $int] :
( mem0(X_899,g_s632_623)
<=> $false ) ).
tff('Define:ctx:789',axiom,
! [X_900: $int] :
( mem0(X_900,g_s632_623)
<=> ! [X_901: $int,X_902: $int] :
( ( mem0(X_901,g_s632_623)
& ! [X_903: $int] :
( mem0(X_903,g_s632_623)
=> $lesseq(X_901,X_903) )
& mem0(X_902,g_s632_623)
& ! [X_904: $int] :
( mem0(X_904,g_s632_623)
=> $greatereq(X_902,X_904) ) )
=> ( $greatereq(X_900,X_901)
& $lesseq(X_900,X_902) ) ) ) ).
tff('Define:ctx:79',axiom,
? [X_154: set_4] :
( ! [X_155: $o,X_156: $o] :
( mem4((X_156),(X_155),X_154)
<=> mem4((X_156),(X_155),g_s242_241) )
& ! [X_157: $o,X_158: $o,X_159: $o] :
( ( mem4((X_157),(X_158),X_154)
& mem4((X_157),(X_159),X_154) )
=> ( (X_158)
<=> (X_159) ) )
& ! [X_160: $o] :
( $true
<=> ? [X_161: $o] : mem4((X_160),(X_161),X_154) )
& ! [X_162: $o] :
( ? [X_163: $o] : mem4((X_163),(X_162),X_154)
=> $true ) ) ).
tff('Define:ctx:790',axiom,
! [X_905: $int] :
( mem0(X_905,g_s620_611)
=> ( $greatereq(X_905,0)
& $lesseq(X_905,max_int) ) ) ).
tff('Define:ctx:791',axiom,
~ ! [X_906: $int] :
( mem0(X_906,g_s620_611)
<=> $false ) ).
tff('Define:ctx:792',axiom,
! [X_907: $int] :
( mem0(X_907,g_s620_611)
<=> ! [X_908: $int,X_909: $int] :
( ( mem0(X_908,g_s620_611)
& ! [X_910: $int] :
( mem0(X_910,g_s620_611)
=> $lesseq(X_908,X_910) )
& mem0(X_909,g_s620_611)
& ! [X_911: $int] :
( mem0(X_911,g_s620_611)
=> $greatereq(X_909,X_911) ) )
=> ( $greatereq(X_907,X_908)
& $lesseq(X_907,X_909) ) ) ) ).
tff('Define:ctx:793',axiom,
! [X_912: $int] :
( mem0(X_912,g_s633_624)
=> ( $greatereq(X_912,0)
& $lesseq(X_912,max_int) ) ) ).
tff('Define:ctx:794',axiom,
~ ! [X_913: $int] :
( mem0(X_913,g_s633_624)
<=> $false ) ).
tff('Define:ctx:795',axiom,
! [X_914: $int] :
( mem0(X_914,g_s633_624)
<=> ! [X_915: $int,X_916: $int] :
( ( mem0(X_915,g_s633_624)
& ! [X_917: $int] :
( mem0(X_917,g_s633_624)
=> $lesseq(X_915,X_917) )
& mem0(X_916,g_s633_624)
& ! [X_918: $int] :
( mem0(X_918,g_s633_624)
=> $greatereq(X_916,X_918) ) )
=> ( $greatereq(X_914,X_915)
& $lesseq(X_914,X_916) ) ) ) ).
tff('Define:ctx:796',axiom,
! [X_919: $int] :
( mem0(X_919,g_s634_625)
=> ( $greatereq(X_919,0)
& $lesseq(X_919,max_int) ) ) ).
tff('Define:ctx:797',axiom,
~ ! [X_920: $int] :
( mem0(X_920,g_s634_625)
<=> $false ) ).
tff('Define:ctx:798',axiom,
! [X_921: $int] :
( mem0(X_921,g_s634_625)
<=> ! [X_922: $int,X_923: $int] :
( ( mem0(X_922,g_s634_625)
& ! [X_924: $int] :
( mem0(X_924,g_s634_625)
=> $lesseq(X_922,X_924) )
& mem0(X_923,g_s634_625)
& ! [X_925: $int] :
( mem0(X_925,g_s634_625)
=> $greatereq(X_923,X_925) ) )
=> ( $greatereq(X_921,X_922)
& $lesseq(X_921,X_923) ) ) ) ).
tff('Define:ctx:799',axiom,
! [X_926: $int] :
( mem0(X_926,g_s635_626)
=> ( $greatereq(X_926,0)
& $lesseq(X_926,max_int) ) ) ).
tff('Define:ctx:8',axiom,
( ! [X_13: $int] :
( mem0(X_13,g_s36_36)
<=> ( ( X_13 = g_s37_37 )
| ( X_13 = g_s38_38 ) ) )
& ( g_s37_37 != g_s38_38 ) ) ).
tff('Define:ctx:80',axiom,
! [X_164: $o,X_165: $o] :
( mem4((X_165),(X_164),g_s242_241)
<=> mem4((X_165),(X_164),g_s241_240) ) ).
tff('Define:ctx:800',axiom,
~ ! [X_927: $int] :
( mem0(X_927,g_s635_626)
<=> $false ) ).
tff('Define:ctx:801',axiom,
! [X_928: $int] :
( mem0(X_928,g_s635_626)
<=> ! [X_929: $int,X_930: $int] :
( ( mem0(X_929,g_s635_626)
& ! [X_931: $int] :
( mem0(X_931,g_s635_626)
=> $lesseq(X_929,X_931) )
& mem0(X_930,g_s635_626)
& ! [X_932: $int] :
( mem0(X_932,g_s635_626)
=> $greatereq(X_930,X_932) ) )
=> ( $greatereq(X_928,X_929)
& $lesseq(X_928,X_930) ) ) ) ).
tff('Define:ctx:802',axiom,
! [X_933: $int] :
( mem0(X_933,g_s636_627)
=> ( $greatereq(X_933,0)
& $lesseq(X_933,max_int) ) ) ).
tff('Define:ctx:803',axiom,
~ ! [X_934: $int] :
( mem0(X_934,g_s636_627)
<=> $false ) ).
tff('Define:ctx:804',axiom,
! [X_935: $int] :
( mem0(X_935,g_s636_627)
<=> ! [X_936: $int,X_937: $int] :
( ( mem0(X_936,g_s636_627)
& ! [X_938: $int] :
( mem0(X_938,g_s636_627)
=> $lesseq(X_936,X_938) )
& mem0(X_937,g_s636_627)
& ! [X_939: $int] :
( mem0(X_939,g_s636_627)
=> $greatereq(X_937,X_939) ) )
=> ( $greatereq(X_935,X_936)
& $lesseq(X_935,X_937) ) ) ) ).
tff('Define:ctx:805',axiom,
! [X_940: $int] :
( mem0(X_940,g_s635_626)
<=> mem0(X_940,g_s636_627) ) ).
tff('Define:ctx:806',axiom,
! [X_941: $int] :
( mem0(X_941,g_s637_628)
=> ( $greatereq(X_941,0)
& $lesseq(X_941,max_int) ) ) ).
tff('Define:ctx:807',axiom,
~ ! [X_942: $int] :
( mem0(X_942,g_s637_628)
<=> $false ) ).
tff('Define:ctx:808',axiom,
! [X_943: $int] :
( mem0(X_943,g_s637_628)
<=> ! [X_944: $int,X_945: $int] :
( ( mem0(X_944,g_s637_628)
& ! [X_946: $int] :
( mem0(X_946,g_s637_628)
=> $lesseq(X_944,X_946) )
& mem0(X_945,g_s637_628)
& ! [X_947: $int] :
( mem0(X_947,g_s637_628)
=> $greatereq(X_945,X_947) ) )
=> ( $greatereq(X_943,X_944)
& $lesseq(X_943,X_945) ) ) ) ).
tff('Define:ctx:809',axiom,
! [X_948: $int] :
( mem0(X_948,g_s638_629)
=> ( $greatereq(X_948,0)
& $lesseq(X_948,max_int) ) ) ).
tff('Define:ctx:81',axiom,
? [X_166: set_5] :
( ! [X_167: $o,X_168: $o,X_169: $o] :
( mem5((X_169),(X_168),(X_167),X_166)
<=> mem5((X_169),(X_168),(X_167),g_s243_242) )
& ! [X_170: $o,X_171: $o,X_172: $o,X_173: $o] :
( ( mem5((X_171),(X_170),(X_172),X_166)
& mem5((X_171),(X_170),(X_173),X_166) )
=> ( (X_172)
<=> (X_173) ) )
& ! [X_174: $o,X_175: $o] :
( ( $true
& $true )
<=> ? [X_176: $o] : mem5((X_175),(X_174),(X_176),X_166) )
& ! [X_177: $o] :
( ? [X_178: $o,X_179: $o] : mem5((X_179),(X_178),(X_177),X_166)
=> $true ) ) ).
tff('Define:ctx:810',axiom,
~ ! [X_949: $int] :
( mem0(X_949,g_s638_629)
<=> $false ) ).
tff('Define:ctx:811',axiom,
! [X_950: $int] :
( mem0(X_950,g_s638_629)
<=> ! [X_951: $int,X_952: $int] :
( ( mem0(X_951,g_s638_629)
& ! [X_953: $int] :
( mem0(X_953,g_s638_629)
=> $lesseq(X_951,X_953) )
& mem0(X_952,g_s638_629)
& ! [X_954: $int] :
( mem0(X_954,g_s638_629)
=> $greatereq(X_952,X_954) ) )
=> ( $greatereq(X_950,X_951)
& $lesseq(X_950,X_952) ) ) ) ).
tff('Define:ctx:812',axiom,
! [X_955: $int] :
( mem0(X_955,g_s639_630)
=> ( $greatereq(X_955,0)
& $lesseq(X_955,max_int) ) ) ).
tff('Define:ctx:813',axiom,
~ ! [X_956: $int] :
( mem0(X_956,g_s639_630)
<=> $false ) ).
tff('Define:ctx:814',axiom,
! [X_957: $int] :
( mem0(X_957,g_s639_630)
<=> ! [X_958: $int,X_959: $int] :
( ( mem0(X_958,g_s639_630)
& ! [X_960: $int] :
( mem0(X_960,g_s639_630)
=> $lesseq(X_958,X_960) )
& mem0(X_959,g_s639_630)
& ! [X_961: $int] :
( mem0(X_961,g_s639_630)
=> $greatereq(X_959,X_961) ) )
=> ( $greatereq(X_957,X_958)
& $lesseq(X_957,X_959) ) ) ) ).
tff('Define:ctx:815',axiom,
! [X_962: $int] :
( mem0(X_962,g_s639_630)
<=> mem0(X_962,g_s638_629) ) ).
tff('Define:ctx:816',axiom,
! [X_963: $int] :
( mem0(X_963,g_s640_631)
=> ( $greatereq(X_963,0)
& $lesseq(X_963,max_int) ) ) ).
tff('Define:ctx:817',axiom,
~ ! [X_964: $int] :
( mem0(X_964,g_s640_631)
<=> $false ) ).
tff('Define:ctx:818',axiom,
! [X_965: $int] :
( mem0(X_965,g_s640_631)
<=> ! [X_966: $int,X_967: $int] :
( ( mem0(X_966,g_s640_631)
& ! [X_968: $int] :
( mem0(X_968,g_s640_631)
=> $lesseq(X_966,X_968) )
& mem0(X_967,g_s640_631)
& ! [X_969: $int] :
( mem0(X_969,g_s640_631)
=> $greatereq(X_967,X_969) ) )
=> ( $greatereq(X_965,X_966)
& $lesseq(X_965,X_967) ) ) ) ).
tff('Define:ctx:819',axiom,
! [X_970: $int] :
( mem0(X_970,g_s641_632)
=> ( $greatereq(X_970,0)
& $lesseq(X_970,max_int) ) ) ).
tff('Define:ctx:82',axiom,
! [X_180: $o,X_181: $o,X_182: $o] :
( mem5((X_182),(X_181),(X_180),g_s243_242)
<=> ( $true
& $true
& ( (X_180)
<=> ( ( (X_182)
<=> $true )
| ( (X_181)
<=> $true ) ) ) ) ) ).
tff('Define:ctx:820',axiom,
~ ! [X_971: $int] :
( mem0(X_971,g_s641_632)
<=> $false ) ).
tff('Define:ctx:821',axiom,
! [X_972: $int] :
( mem0(X_972,g_s641_632)
<=> ! [X_973: $int,X_974: $int] :
( ( mem0(X_973,g_s641_632)
& ! [X_975: $int] :
( mem0(X_975,g_s641_632)
=> $lesseq(X_973,X_975) )
& mem0(X_974,g_s641_632)
& ! [X_976: $int] :
( mem0(X_976,g_s641_632)
=> $greatereq(X_974,X_976) ) )
=> ( $greatereq(X_972,X_973)
& $lesseq(X_972,X_974) ) ) ) ).
tff('Define:ctx:822',axiom,
! [X_977: $int] :
( mem0(X_977,g_s641_632)
<=> mem0(X_977,g_s640_631) ) ).
tff('Define:ctx:823',axiom,
mem0(g_s642_633,g_s129_129) ).
tff('Define:ctx:824',axiom,
~ mem0(g_s642_633,g_s590_581) ).
tff('Define:ctx:825',axiom,
mem0(g_s643_634,g_s131_131) ).
tff('Define:ctx:826',axiom,
~ mem0(g_s643_634,g_s599_590) ).
tff('Define:ctx:827',axiom,
mem0(g_s644_635,g_s600_591) ).
tff('Define:ctx:828',axiom,
~ mem0(g_s644_635,g_s601_592) ).
tff('Define:ctx:829',axiom,
mem0(g_s645_636,g_s132_132) ).
tff('Define:ctx:83',axiom,
? [X_183: set_5] :
( ! [X_184: $o,X_185: $o,X_186: $o] :
( mem5((X_186),(X_185),(X_184),X_183)
<=> mem5((X_186),(X_185),(X_184),g_s246_243) )
& ! [X_187: $o,X_188: $o,X_189: $o,X_190: $o] :
( ( mem5((X_188),(X_187),(X_189),X_183)
& mem5((X_188),(X_187),(X_190),X_183) )
=> ( (X_189)
<=> (X_190) ) )
& ! [X_191: $o,X_192: $o] :
( ( $true
& $true )
<=> ? [X_193: $o] : mem5((X_192),(X_191),(X_193),X_183) )
& ! [X_194: $o] :
( ? [X_195: $o,X_196: $o] : mem5((X_196),(X_195),(X_194),X_183)
=> $true ) ) ).
tff('Define:ctx:830',axiom,
~ mem0(g_s645_636,g_s602_593) ).
tff('Define:ctx:831',axiom,
mem0(g_s646_637,g_s588_579) ).
tff('Define:ctx:832',axiom,
~ mem0(g_s646_637,g_s603_594) ).
tff('Define:ctx:833',axiom,
g_s645_636 = g_s646_637 ).
tff('Define:ctx:834',axiom,
! [X_978: $int] :
( mem0(X_978,g_s602_593)
<=> mem0(X_978,g_s603_594) ) ).
tff('Define:ctx:835',axiom,
! [X_979: $int] :
( mem0(X_979,g_s132_132)
<=> mem0(X_979,g_s588_579) ) ).
tff('Define:ctx:836',axiom,
mem0(g_s647_638,g_s129_129) ).
tff('Define:ctx:837',axiom,
mem0(g_s647_638,g_s590_581) ).
tff('Define:ctx:838',axiom,
mem0(g_s648_639,g_s130_130) ).
tff('Define:ctx:839',axiom,
mem0(g_s648_639,g_s595_586) ).
tff('Define:ctx:84',axiom,
! [X_197: $o,X_198: $o,X_199: $o] :
( mem5((X_199),(X_198),(X_197),g_s246_243)
<=> mem5((X_199),(X_198),(X_197),g_s243_242) ) ).
tff('Define:ctx:840',axiom,
mem0(g_s649_640,g_s129_129) ).
tff('Define:ctx:841',axiom,
mem0(g_s649_640,g_s590_581) ).
tff('Define:ctx:842',axiom,
mem0(g_s650_641,g_s591_582) ).
tff('Define:ctx:843',axiom,
g_s650_641 = g_s647_638 ).
tff('Define:ctx:844',axiom,
mem0(g_s651_642,g_s596_587) ).
tff('Define:ctx:845',axiom,
g_s651_642 = g_s648_639 ).
tff('Define:ctx:846',axiom,
mem0(g_s652_643,g_s633_624) ).
tff('Define:ctx:847',axiom,
mem0(g_s653_644,g_s634_625) ).
tff('Define:ctx:848',axiom,
! [X_980: $int] :
( mem0(X_980,g_s633_624)
<=> mem0(X_980,g_s634_625) ) ).
tff('Define:ctx:849',axiom,
g_s653_644 = g_s652_643 ).
tff('Define:ctx:85',axiom,
? [X_200: set_5] :
( ! [X_201: $o,X_202: $o,X_203: $o] :
( mem5((X_203),(X_202),(X_201),X_200)
<=> mem5((X_203),(X_202),(X_201),g_s247_244) )
& ! [X_204: $o,X_205: $o,X_206: $o,X_207: $o] :
( ( mem5((X_205),(X_204),(X_206),X_200)
& mem5((X_205),(X_204),(X_207),X_200) )
=> ( (X_206)
<=> (X_207) ) )
& ! [X_208: $o,X_209: $o] :
( ( $true
& $true )
<=> ? [X_210: $o] : mem5((X_209),(X_208),(X_210),X_200) )
& ! [X_211: $o] :
( ? [X_212: $o,X_213: $o] : mem5((X_213),(X_212),(X_211),X_200)
=> $true ) ) ).
tff('Define:ctx:850',axiom,
mem0(g_s654_645,g_s635_626) ).
tff('Define:ctx:851',axiom,
mem0(g_s655_646,g_s636_627) ).
tff('Define:ctx:852',axiom,
g_s655_646 = g_s654_645 ).
tff('Define:ctx:853',axiom,
mem0(g_s656_647,g_s131_131) ).
tff('Define:ctx:854',axiom,
mem0(g_s656_647,g_s599_590) ).
tff('Define:ctx:855',axiom,
mem0(g_s657_648,g_s600_591) ).
tff('Define:ctx:856',axiom,
mem0(g_s657_648,g_s601_592) ).
tff('Define:ctx:857',axiom,
g_s657_648 = g_s656_647 ).
tff('Define:ctx:858',axiom,
mem0(g_s658_649,g_s132_132) ).
tff('Define:ctx:859',axiom,
mem0(g_s658_649,g_s602_593) ).
tff('Define:ctx:86',axiom,
! [X_214: $o,X_215: $o,X_216: $o] :
( mem5((X_216),(X_215),(X_214),g_s247_244)
<=> mem5((X_216),(X_215),(X_214),g_s243_242) ) ).
tff('Define:ctx:860',axiom,
mem0(g_s659_650,g_s607_598) ).
tff('Define:ctx:861',axiom,
mem0(g_s660_651,g_s608_599) ).
tff('Define:ctx:862',axiom,
mem0(g_s661_652,g_s608_599) ).
tff('Define:ctx:863',axiom,
g_s661_652 = 1 ).
tff('Define:ctx:864',axiom,
mem0(g_s662_653,g_s609_600) ).
tff('Define:ctx:865',axiom,
mem0(g_s663_654,g_s610_601) ).
tff('Define:ctx:866',axiom,
mem0(g_s664_655,g_s612_603) ).
tff('Define:ctx:867',axiom,
mem0(g_s665_656,g_s613_604) ).
tff('Define:ctx:868',axiom,
mem0(g_s666_657,g_s614_605) ).
tff('Define:ctx:869',axiom,
mem0(g_s667_658,g_s616_607) ).
tff('Define:ctx:87',axiom,
? [X_217: set_5] :
( ! [X_218: $o,X_219: $o,X_220: $o] :
( mem5((X_220),(X_219),(X_218),X_217)
<=> mem5((X_220),(X_219),(X_218),g_s248_245) )
& ! [X_221: $o,X_222: $o,X_223: $o,X_224: $o] :
( ( mem5((X_222),(X_221),(X_223),X_217)
& mem5((X_222),(X_221),(X_224),X_217) )
=> ( (X_223)
<=> (X_224) ) )
& ! [X_225: $o,X_226: $o] :
( ( $true
& $true )
<=> ? [X_227: $o] : mem5((X_226),(X_225),(X_227),X_217) )
& ! [X_228: $o] :
( ? [X_229: $o,X_230: $o] : mem5((X_230),(X_229),(X_228),X_217)
=> $true ) ) ).
tff('Define:ctx:870',axiom,
mem0(g_s668_659,g_s615_606) ).
tff('Define:ctx:871',axiom,
g_s667_658 = g_s668_659 ).
tff('Define:ctx:872',axiom,
mem0(g_s669_660,g_s622_613) ).
tff('Define:ctx:873',axiom,
mem0(g_s670_661,g_s621_612) ).
tff('Define:ctx:874',axiom,
g_s669_660 = g_s670_661 ).
tff('Define:ctx:875',axiom,
mem0(g_s671_662,g_s618_609) ).
tff('Define:ctx:876',axiom,
mem0(g_s672_663,g_s617_608) ).
tff('Define:ctx:877',axiom,
g_s671_662 = g_s672_663 ).
tff('Define:ctx:878',axiom,
mem0(g_s673_664,g_s623_614) ).
tff('Define:ctx:879',axiom,
mem0(g_s674_665,g_s624_615) ).
tff('Define:ctx:88',axiom,
! [X_231: $o,X_232: $o,X_233: $o] :
( mem5((X_233),(X_232),(X_231),g_s248_245)
<=> ( $true
& $true
& ( (X_231)
<=> ( ( (X_233)
<=> $true )
& ( (X_232)
<=> $true ) ) ) ) ) ).
tff('Define:ctx:880',axiom,
g_s674_665 = g_s673_664 ).
tff('Define:ctx:881',axiom,
mem0(g_s675_666,g_s625_616) ).
tff('Define:ctx:882',axiom,
mem0(g_s676_667,g_s626_617) ).
tff('Define:ctx:883',axiom,
g_s676_667 = g_s675_666 ).
tff('Define:ctx:884',axiom,
mem0(g_s677_668,g_s620_611) ).
tff('Define:ctx:885',axiom,
mem0(g_s678_669,g_s619_610) ).
tff('Define:ctx:886',axiom,
g_s678_669 = g_s677_668 ).
tff('Define:ctx:887',axiom,
mem0(g_s679_670,g_s627_618) ).
tff('Define:ctx:888',axiom,
mem0(g_s680_671,g_s632_623) ).
tff('Define:ctx:889',axiom,
mem0(g_s681_672,g_s628_619) ).
tff('Define:ctx:89',axiom,
? [X_234: set_5] :
( ! [X_235: $o,X_236: $o,X_237: $o] :
( mem5((X_237),(X_236),(X_235),X_234)
<=> mem5((X_237),(X_236),(X_235),g_s249_246) )
& ! [X_238: $o,X_239: $o,X_240: $o,X_241: $o] :
( ( mem5((X_239),(X_238),(X_240),X_234)
& mem5((X_239),(X_238),(X_241),X_234) )
=> ( (X_240)
<=> (X_241) ) )
& ! [X_242: $o,X_243: $o] :
( ( $true
& $true )
<=> ? [X_244: $o] : mem5((X_243),(X_242),(X_244),X_234) )
& ! [X_245: $o] :
( ? [X_246: $o,X_247: $o] : mem5((X_247),(X_246),(X_245),X_234)
=> $true ) ) ).
tff('Define:ctx:890',axiom,
mem0(g_s682_673,g_s629_620) ).
tff('Define:ctx:891',axiom,
mem0(g_s683_674,g_s630_621) ).
tff('Define:ctx:892',axiom,
mem0(g_s684_675,g_s637_628) ).
tff('Define:ctx:893',axiom,
mem0(g_s685_676,g_s638_629) ).
tff('Define:ctx:894',axiom,
mem0(g_s686_677,g_s639_630) ).
tff('Define:ctx:895',axiom,
mem0(g_s687_678,g_s640_631) ).
tff('Define:ctx:896',axiom,
mem0(g_s688_679,g_s641_632) ).
tff('Define:ctx:897',axiom,
! [X_981: $int] :
( mem0(X_981,g_s689_680)
=> ( $greatereq(X_981,0)
& $lesseq(X_981,max_int) ) ) ).
tff('Define:ctx:898',axiom,
~ ! [X_982: $int] :
( mem0(X_982,g_s689_680)
<=> $false ) ).
tff('Define:ctx:899',axiom,
! [X_983: $int] :
( mem0(X_983,g_s689_680)
<=> ! [X_984: $int,X_985: $int] :
( ( mem0(X_984,g_s689_680)
& ! [X_986: $int] :
( mem0(X_986,g_s689_680)
=> $lesseq(X_984,X_986) )
& mem0(X_985,g_s689_680)
& ! [X_987: $int] :
( mem0(X_987,g_s689_680)
=> $greatereq(X_985,X_987) ) )
=> ( $greatereq(X_983,X_984)
& $lesseq(X_983,X_985) ) ) ) ).
tff('Define:ctx:9',axiom,
( ! [X_14: $int] :
( mem0(X_14,g_s39_39)
<=> ( ( X_14 = g_s40_40 )
| ( X_14 = g_s41_41 )
| ( X_14 = g_s42_42 ) ) )
& ( g_s40_40 != g_s41_41 )
& ( g_s41_41 != g_s42_42 ) ) ).
tff('Define:ctx:90',axiom,
! [X_248: $o,X_249: $o,X_250: $o] :
( mem5((X_250),(X_249),(X_248),g_s249_246)
<=> mem5((X_250),(X_249),(X_248),g_s248_245) ) ).
tff('Define:ctx:900',axiom,
mem0(g_s690_681,g_s689_680) ).
tff('Define:ctx:901',axiom,
! [X_988: $int] :
( mem0(X_988,g_s691_682)
=> ( $greatereq(X_988,0)
& $lesseq(X_988,max_int) ) ) ).
tff('Define:ctx:902',axiom,
~ ! [X_989: $int] :
( mem0(X_989,g_s691_682)
<=> $false ) ).
tff('Define:ctx:903',axiom,
! [X_990: $int] :
( mem0(X_990,g_s691_682)
<=> ! [X_991: $int,X_992: $int] :
( ( mem0(X_991,g_s691_682)
& ! [X_993: $int] :
( mem0(X_993,g_s691_682)
=> $lesseq(X_991,X_993) )
& mem0(X_992,g_s691_682)
& ! [X_994: $int] :
( mem0(X_994,g_s691_682)
=> $greatereq(X_992,X_994) ) )
=> ( $greatereq(X_990,X_991)
& $lesseq(X_990,X_992) ) ) ) ).
tff('Define:ctx:904',axiom,
mem0(g_s692_683,g_s691_682) ).
tff('Define:ctx:905',axiom,
mem0(g_s693_684,g_s689_680) ).
tff('Define:ctx:906',axiom,
g_s693_684 = 1 ).
tff('Define:ctx:907',axiom,
! [X_995: $int] :
( mem0(X_995,g_s694_685)
<=> ( $greatereq(X_995,0)
& $lesseq(X_995,max_int) ) ) ).
tff('Define:ctx:908',axiom,
mem0(g_s695_686,g_s694_685) ).
tff('Define:ctx:909',axiom,
! [X_996: $int] :
( mem0(X_996,g_s696_687)
=> ( $greatereq(X_996,0)
& $lesseq(X_996,max_int) ) ) ).
tff('Define:ctx:91',axiom,
? [X_251: set_5] :
( ! [X_252: $o,X_253: $o,X_254: $o] :
( mem5((X_254),(X_253),(X_252),X_251)
<=> mem5((X_254),(X_253),(X_252),g_s250_247) )
& ! [X_255: $o,X_256: $o,X_257: $o,X_258: $o] :
( ( mem5((X_256),(X_255),(X_257),X_251)
& mem5((X_256),(X_255),(X_258),X_251) )
=> ( (X_257)
<=> (X_258) ) )
& ! [X_259: $o,X_260: $o] :
( ( $true
& $true )
<=> ? [X_261: $o] : mem5((X_260),(X_259),(X_261),X_251) )
& ! [X_262: $o] :
( ? [X_263: $o,X_264: $o] : mem5((X_264),(X_263),(X_262),X_251)
=> $true ) ) ).
tff('Define:ctx:910',axiom,
! [X_997: $int] :
( mem0(X_997,g_s696_687)
<=> ! [X_998: $int,X_999: $int] :
( ( mem0(X_998,g_s696_687)
& ! [X_1000: $int] :
( mem0(X_1000,g_s696_687)
=> $lesseq(X_998,X_1000) )
& mem0(X_999,g_s696_687)
& ! [X_1001: $int] :
( mem0(X_1001,g_s696_687)
=> $greatereq(X_999,X_1001) ) )
=> ( $greatereq(X_997,X_998)
& $lesseq(X_997,X_999) ) ) ) ).
tff('Define:ctx:911',axiom,
~ ! [X_1002: $int] :
( mem0(X_1002,g_s696_687)
<=> $false ) ).
tff('Define:ctx:912',axiom,
! [X_1003: $int] :
( ( X_1003 = 0 )
=> mem0(X_1003,g_s696_687) ) ).
tff('Define:ctx:913',axiom,
! [X_1004: $int] :
( ( X_1004 = 1 )
=> mem0(X_1004,g_s696_687) ) ).
tff('Define:ctx:914',axiom,
! [X_1005: $int] :
( ( X_1005 = 2 )
=> mem0(X_1005,g_s696_687) ) ).
tff('Define:ctx:915',axiom,
! [X_1006: $int] :
( ( X_1006 = 3 )
=> mem0(X_1006,g_s696_687) ) ).
tff('Define:ctx:916',axiom,
! [X_1007: $int] :
( ( X_1007 = 4 )
=> mem0(X_1007,g_s696_687) ) ).
tff('Define:ctx:917',axiom,
! [X_1008: $int] :
( ( X_1008 = 5 )
=> mem0(X_1008,g_s696_687) ) ).
tff('Define:ctx:918',axiom,
! [X_1009: $int] :
( ( X_1009 = 6 )
=> mem0(X_1009,g_s696_687) ) ).
tff('Define:ctx:919',axiom,
! [X_1010: $int] :
( ( X_1010 = 7 )
=> mem0(X_1010,g_s696_687) ) ).
tff('Define:ctx:92',axiom,
! [X_265: $o,X_266: $o,X_267: $o] :
( mem5((X_267),(X_266),(X_265),g_s250_247)
<=> mem5((X_267),(X_266),(X_265),g_s248_245) ) ).
tff('Define:ctx:920',axiom,
! [X_1011: $int] :
( ( X_1011 = 8 )
=> mem0(X_1011,g_s696_687) ) ).
tff('Define:ctx:921',axiom,
! [X_1012: $int] :
( ( X_1012 = 9 )
=> mem0(X_1012,g_s696_687) ) ).
tff('Define:ctx:922',axiom,
! [X_1013: $int] :
( ( X_1013 = 10 )
=> mem0(X_1013,g_s696_687) ) ).
tff('Define:ctx:923',axiom,
! [X_1014: $int] :
( ( X_1014 = 11 )
=> mem0(X_1014,g_s696_687) ) ).
tff('Define:ctx:924',axiom,
! [X_1015: $int] :
( ( X_1015 = 12 )
=> mem0(X_1015,g_s696_687) ) ).
tff('Define:ctx:925',axiom,
! [X_1016: $int] :
( ( X_1016 = 13 )
=> mem0(X_1016,g_s696_687) ) ).
tff('Define:ctx:926',axiom,
! [X_1017: $int] :
( ( X_1017 = 14 )
=> mem0(X_1017,g_s696_687) ) ).
tff('Define:ctx:927',axiom,
! [X_1018: $int] :
( ( X_1018 = 15 )
=> mem0(X_1018,g_s696_687) ) ).
tff('Define:ctx:928',axiom,
! [X_1019: $int] :
( ( X_1019 = 16 )
=> mem0(X_1019,g_s696_687) ) ).
tff('Define:ctx:929',axiom,
( $greatereq(g_s697_688,0)
& $lesseq(g_s697_688,max_int) ) ).
tff('Define:ctx:93',axiom,
? [X_268: set_6] :
( ! [X_269: $o,X_270: $int,X_271: $int] :
( mem6(X_271,X_270,(X_269),X_268)
<=> mem6(X_271,X_270,(X_269),g_s251_248) )
& ! [X_272: $int,X_273: $int,X_274: $o,X_275: $o] :
( ( mem6(X_273,X_272,(X_274),X_268)
& mem6(X_273,X_272,(X_275),X_268) )
=> ( (X_274)
<=> (X_275) ) )
& ! [X_276: $int,X_277: $int] :
( ( mem0(X_277,g_s197_197)
& mem0(X_276,g_s197_197) )
<=> ? [X_278: $o] : mem6(X_277,X_276,(X_278),X_268) )
& ! [X_279: $o] :
( ? [X_280: $int,X_281: $int] : mem6(X_281,X_280,(X_279),X_268)
=> $true ) ) ).
tff('Define:ctx:930',axiom,
g_s697_688 = 32 ).
tff('Define:ctx:931',axiom,
( $greatereq(g_s698_689,0)
& $lesseq(g_s698_689,max_int) ) ).
tff('Define:ctx:932',axiom,
g_s698_689 = 226 ).
tff('Define:ctx:933',axiom,
( $greatereq(g_s699_690,0)
& $lesseq(g_s699_690,max_int) ) ).
tff('Define:ctx:934',axiom,
g_s699_690 = 16 ).
tff('Define:ctx:935',axiom,
! [X_1020: $int] :
( mem0(X_1020,g_s700_691)
=> ( $greatereq(X_1020,0)
& $lesseq(X_1020,max_int) ) ) ).
tff('Define:ctx:936',axiom,
~ ! [X_1021: $int] :
( mem0(X_1021,g_s700_691)
<=> $false ) ).
tff('Define:ctx:937',axiom,
! [X_1022: $int] :
( mem0(X_1022,g_s700_691)
<=> ( $greatereq(X_1022,1)
& $lesseq(X_1022,g_s697_688) ) ) ).
tff('Define:ctx:938',axiom,
! [X_1023: $int] :
( mem0(X_1023,g_s701_692)
=> ( $greatereq(X_1023,0)
& $lesseq(X_1023,max_int) ) ) ).
tff('Define:ctx:939',axiom,
! [X_1024: $int] :
( mem0(X_1024,g_s701_692)
<=> ( $greatereq(X_1024,1)
& $lesseq(X_1024,g_s697_688) ) ) ).
tff('Define:ctx:94',axiom,
! [X_282: $o,X_283: $int,X_284: $int] :
( mem6(X_284,X_283,(X_282),g_s251_248)
<=> ( mem0(X_284,g_s197_197)
& mem0(X_283,g_s197_197)
& ( (X_282)
<=> $greatereq(X_284,X_283) ) ) ) ).
tff('Define:ctx:940',axiom,
! [X_1025: $int] :
( mem0(X_1025,g_s702_693)
=> ( $greatereq(X_1025,0)
& $lesseq(X_1025,max_int) ) ) ).
tff('Define:ctx:941',axiom,
! [X_1026: $int] :
( mem0(X_1026,g_s702_693)
<=> ( $greatereq(X_1026,1)
& $lesseq(X_1026,g_s698_689) ) ) ).
tff('Define:ctx:942',axiom,
( $greatereq(g_s703_694,0)
& $lesseq(g_s703_694,max_int) ) ).
tff('Define:ctx:943',axiom,
g_s703_694 = 8 ).
tff('Define:ctx:944',axiom,
! [X_1027: $int] :
( mem0(X_1027,g_s704_695)
=> ( $greatereq(X_1027,0)
& $lesseq(X_1027,max_int) ) ) ).
tff('Define:ctx:945',axiom,
! [X_1028: $int] :
( mem0(X_1028,g_s704_695)
<=> ( $greatereq(X_1028,0)
& $lesseq(X_1028,g_s703_694) ) ) ).
tff('Define:ctx:946',axiom,
! [X_1029: $int] :
( mem0(X_1029,g_s705_696)
=> mem0(X_1029,g_s704_695) ) ).
tff('Define:ctx:947',axiom,
! [X_1030: $int] :
( mem0(X_1030,g_s705_696)
<=> ( $greatereq(X_1030,1)
& $lesseq(X_1030,g_s703_694) ) ) ).
tff('Define:ctx:948',axiom,
mem0(g_s706_697,g_s704_695) ).
tff('Define:ctx:949',axiom,
~ mem0(g_s706_697,g_s705_696) ).
tff('Define:ctx:95',axiom,
? [X_285: set_6] :
( ! [X_286: $o,X_287: $int,X_288: $int] :
( mem6(X_288,X_287,(X_286),X_285)
<=> mem6(X_288,X_287,(X_286),g_s254_249) )
& ! [X_289: $int,X_290: $int,X_291: $o,X_292: $o] :
( ( mem6(X_290,X_289,(X_291),X_285)
& mem6(X_290,X_289,(X_292),X_285) )
=> ( (X_291)
<=> (X_292) ) )
& ! [X_293: $int,X_294: $int] :
( ( mem0(X_294,g_s197_197)
& mem0(X_293,g_s197_197) )
<=> ? [X_295: $o] : mem6(X_294,X_293,(X_295),X_285) )
& ! [X_296: $o] :
( ? [X_297: $int,X_298: $int] : mem6(X_298,X_297,(X_296),X_285)
=> $true ) ) ).
tff('Define:ctx:950',axiom,
g_s706_697 = 0 ).
tff('Define:ctx:951',axiom,
mem0(g_s707_698,g_s696_687) ).
tff('Define:ctx:952',axiom,
! [X_1031: $int] :
( mem0(X_1031,g_s708_699)
=> ( $greatereq(X_1031,0)
& $lesseq(X_1031,max_int) ) ) ).
tff('Define:ctx:953',axiom,
! [X_1032: $int] :
( mem0(X_1032,g_s708_699)
<=> ! [X_1033: $int,X_1034: $int] :
( ( mem0(X_1033,g_s708_699)
& ! [X_1035: $int] :
( mem0(X_1035,g_s708_699)
=> $lesseq(X_1033,X_1035) )
& mem0(X_1034,g_s708_699)
& ! [X_1036: $int] :
( mem0(X_1036,g_s708_699)
=> $greatereq(X_1034,X_1036) ) )
=> ( $greatereq(X_1032,X_1033)
& $lesseq(X_1032,X_1034) ) ) ) ).
tff('Define:ctx:954',axiom,
~ ! [X_1037: $int] :
( mem0(X_1037,g_s708_699)
<=> $false ) ).
tff('Define:ctx:955',axiom,
! [X_1038: $int] :
( mem0(X_1038,g_s709_700)
<=> mem0(X_1038,g_s708_699) ) ).
tff('Define:ctx:956',axiom,
mem0(g_s359_350,g_s708_699) ).
tff('Define:ctx:957',axiom,
! [X_1039: $int] :
( ( X_1039 = 0 )
=> mem0(X_1039,g_s708_699) ) ).
tff('Define:ctx:958',axiom,
! [X_1040: $int] :
( ( X_1040 = 1 )
=> mem0(X_1040,g_s708_699) ) ).
tff('Define:ctx:959',axiom,
! [X_1041: $int] :
( ( X_1041 = 2 )
=> mem0(X_1041,g_s708_699) ) ).
tff('Define:ctx:96',axiom,
! [X_299: $o,X_300: $int,X_301: $int] :
( mem6(X_301,X_300,(X_299),g_s254_249)
<=> mem6(X_301,X_300,(X_299),g_s251_248) ) ).
tff('Define:ctx:960',axiom,
! [X_1042: $int] :
( ( X_1042 = 3 )
=> mem0(X_1042,g_s708_699) ) ).
tff('Define:ctx:961',axiom,
! [X_1043: $int] :
( ( X_1043 = 4 )
=> mem0(X_1043,g_s708_699) ) ).
tff('Define:ctx:962',axiom,
! [X_1044: $int] :
( ( X_1044 = 5 )
=> mem0(X_1044,g_s708_699) ) ).
tff('Define:ctx:963',axiom,
! [X_1045: $int] :
( ( X_1045 = 6 )
=> mem0(X_1045,g_s708_699) ) ).
tff('Define:ctx:964',axiom,
! [X_1046: $int] :
( ( X_1046 = 7 )
=> mem0(X_1046,g_s708_699) ) ).
tff('Define:ctx:965',axiom,
! [X_1047: $int] :
( ( X_1047 = 8 )
=> mem0(X_1047,g_s708_699) ) ).
tff('Define:ctx:966',axiom,
! [X_1048: $int] :
( ( X_1048 = 9 )
=> mem0(X_1048,g_s708_699) ) ).
tff('Define:ctx:967',axiom,
! [X_1049: $int] :
( ( X_1049 = 10 )
=> mem0(X_1049,g_s708_699) ) ).
tff('Define:ctx:968',axiom,
! [X_1050: $int] :
( ( X_1050 = 11 )
=> mem0(X_1050,g_s708_699) ) ).
tff('Define:ctx:969',axiom,
! [X_1051: $int] :
( ( X_1051 = 12 )
=> mem0(X_1051,g_s708_699) ) ).
tff('Define:ctx:97',axiom,
? [X_302: set_6] :
( ! [X_303: $o,X_304: $int,X_305: $int] :
( mem6(X_305,X_304,(X_303),X_302)
<=> mem6(X_305,X_304,(X_303),g_s255_250) )
& ! [X_306: $int,X_307: $int,X_308: $o,X_309: $o] :
( ( mem6(X_307,X_306,(X_308),X_302)
& mem6(X_307,X_306,(X_309),X_302) )
=> ( (X_308)
<=> (X_309) ) )
& ! [X_310: $int,X_311: $int] :
( ( mem0(X_311,g_s197_197)
& mem0(X_310,g_s197_197) )
<=> ? [X_312: $o] : mem6(X_311,X_310,(X_312),X_302) )
& ! [X_313: $o] :
( ? [X_314: $int,X_315: $int] : mem6(X_315,X_314,(X_313),X_302)
=> $true ) ) ).
tff('Define:ctx:970',axiom,
! [X_1052: $int] :
( ( X_1052 = 13 )
=> mem0(X_1052,g_s708_699) ) ).
tff('Define:ctx:971',axiom,
! [X_1053: $int] :
( ( X_1053 = 14 )
=> mem0(X_1053,g_s708_699) ) ).
tff('Define:ctx:972',axiom,
! [X_1054: $int] :
( ( X_1054 = 15 )
=> mem0(X_1054,g_s708_699) ) ).
tff('Define:ctx:973',axiom,
! [X_1055: $int] :
( ( X_1055 = 16 )
=> mem0(X_1055,g_s708_699) ) ).
tff('Define:ctx:974',axiom,
mem0(g_s710_701,g_s708_699) ).
tff('Define:ctx:975',axiom,
! [X_1056: $int] :
( mem0(X_1056,g_s711_702)
<=> ( $greatereq(X_1056,0)
& $lesseq(X_1056,max_int) ) ) ).
tff('Define:ctx:976',axiom,
! [X_1057: $int] :
( mem0(X_1057,g_s712_703)
=> ( $greatereq(X_1057,0)
& $lesseq(X_1057,max_int) ) ) ).
tff('Define:ctx:977',axiom,
~ ! [X_1058: $int] :
( mem0(X_1058,g_s712_703)
<=> $false ) ).
tff('Define:ctx:978',axiom,
! [X_1059: $int] :
( mem0(X_1059,g_s712_703)
<=> ( $greatereq(X_1059,1)
& $lesseq(X_1059,divB(g_s699_690,2)) ) ) ).
tff('Define:ctx:979',axiom,
! [X_1060: $int] :
( mem0(X_1060,g_s713_704)
=> ( $greatereq(X_1060,0)
& $lesseq(X_1060,max_int) ) ) ).
tff('Define:ctx:98',axiom,
! [X_316: $o,X_317: $int,X_318: $int] :
( mem6(X_318,X_317,(X_316),g_s255_250)
<=> mem6(X_318,X_317,(X_316),g_s251_248) ) ).
tff('Define:ctx:980',axiom,
! [X_1061: $int] :
( mem0(X_1061,g_s713_704)
<=> ! [X_1062: $int,X_1063: $int] :
( ( mem0(X_1062,g_s708_699)
& ! [X_1064: $int] :
( mem0(X_1064,g_s708_699)
=> $lesseq(X_1062,X_1064) )
& mem0(X_1063,g_s708_699)
& ! [X_1065: $int] :
( mem0(X_1065,g_s708_699)
=> $greatereq(X_1063,X_1065) ) )
=> ( $greatereq(X_1061,X_1062)
& $lesseq(X_1061,X_1063) ) ) ) ).
tff('Define:ctx:981',axiom,
~ ! [X_1066: $int] :
( mem0(X_1066,g_s713_704)
<=> $false ) ).
tff('Define:ctx:982',axiom,
! [X_1067: $int] :
( mem0(X_1067,g_s714_705)
<=> ( $greatereq(X_1067,0)
& $lesseq(X_1067,max_int) ) ) ).
tff('Define:ctx:983',axiom,
! [X_1068: $int] :
( mem0(X_1068,g_s715_706)
=> ( $greatereq(X_1068,0)
& $lesseq(X_1068,max_int) ) ) ).
tff('Define:ctx:984',axiom,
! [X_1069: $int] :
( mem0(X_1069,g_s715_706)
<=> ! [X_1070: $int,X_1071: $int] :
( ( mem0(X_1070,g_s715_706)
& ! [X_1072: $int] :
( mem0(X_1072,g_s715_706)
=> $lesseq(X_1070,X_1072) )
& mem0(X_1071,g_s715_706)
& ! [X_1073: $int] :
( mem0(X_1073,g_s715_706)
=> $greatereq(X_1071,X_1073) ) )
=> ( $greatereq(X_1069,X_1070)
& $lesseq(X_1069,X_1071) ) ) ) ).
tff('Define:ctx:985',axiom,
~ ! [X_1074: $int] :
( mem0(X_1074,g_s715_706)
<=> $false ) ).
tff('Define:ctx:986',axiom,
mem0(g_s716_707,g_s715_706) ).
tff('Define:ctx:987',axiom,
! [X_1075: $int] :
( mem0(X_1075,g_s717_708)
=> ( $greatereq(X_1075,0)
& $lesseq(X_1075,max_int) ) ) ).
tff('Define:ctx:988',axiom,
! [X_1076: $int] :
( mem0(X_1076,g_s717_708)
=> ( ( X_1076 = 1 )
| ( X_1076 = 2 ) ) ) ).
tff('Define:ctx:989',axiom,
~ ! [X_1077: $int] :
( mem0(X_1077,g_s717_708)
<=> $false ) ).
tff('Define:ctx:99',axiom,
? [X_319: set_6] :
( ! [X_320: $o,X_321: $int,X_322: $int] :
( mem6(X_322,X_321,(X_320),X_319)
<=> mem6(X_322,X_321,(X_320),g_s256_251) )
& ! [X_323: $int,X_324: $int,X_325: $o,X_326: $o] :
( ( mem6(X_324,X_323,(X_325),X_319)
& mem6(X_324,X_323,(X_326),X_319) )
=> ( (X_325)
<=> (X_326) ) )
& ! [X_327: $int,X_328: $int] :
( ( mem0(X_328,g_s197_197)
& mem0(X_327,g_s197_197) )
<=> ? [X_329: $o] : mem6(X_328,X_327,(X_329),X_319) )
& ! [X_330: $o] :
( ? [X_331: $int,X_332: $int] : mem6(X_332,X_331,(X_330),X_319)
=> $true ) ) ).
tff('Define:ctx:990',axiom,
mem0(g_s718_709,g_s717_708) ).
tff('Define:ctx:991',axiom,
! [X_1078: $int] :
( mem0(X_1078,g_s719_710)
=> ( $greatereq(X_1078,0)
& $lesseq(X_1078,max_int) ) ) ).
tff('Define:ctx:992',axiom,
! [X_1079: $int] :
( mem0(X_1079,g_s719_710)
<=> ! [X_1080: $int,X_1081: $int] :
( ( mem0(X_1080,g_s719_710)
& ! [X_1082: $int] :
( mem0(X_1082,g_s719_710)
=> $lesseq(X_1080,X_1082) )
& mem0(X_1081,g_s719_710)
& ! [X_1083: $int] :
( mem0(X_1083,g_s719_710)
=> $greatereq(X_1081,X_1083) ) )
=> ( $greatereq(X_1079,X_1080)
& $lesseq(X_1079,X_1081) ) ) ) ).
tff('Define:ctx:993',axiom,
~ ! [X_1084: $int] :
( mem0(X_1084,g_s719_710)
<=> $false ) ).
tff('Define:ctx:994',axiom,
mem0(g_s720_711,g_s719_710) ).
tff('Define:ctx:995',axiom,
! [X_1085: $int] :
( mem0(X_1085,g_s721_712)
=> ( $greatereq(X_1085,0)
& $lesseq(X_1085,max_int) ) ) ).
tff('Define:ctx:996',axiom,
! [X_1086: $int] :
( mem0(X_1086,g_s721_712)
<=> ! [X_1087: $int,X_1088: $int] :
( ( mem0(X_1087,g_s721_712)
& ! [X_1089: $int] :
( mem0(X_1089,g_s721_712)
=> $lesseq(X_1087,X_1089) )
& mem0(X_1088,g_s721_712)
& ! [X_1090: $int] :
( mem0(X_1090,g_s721_712)
=> $greatereq(X_1088,X_1090) ) )
=> ( $greatereq(X_1086,X_1087)
& $lesseq(X_1086,X_1088) ) ) ) ).
tff('Define:ctx:997',axiom,
~ ! [X_1091: $int] :
( mem0(X_1091,g_s721_712)
<=> $false ) ).
tff('Define:ctx:998',axiom,
mem0(g_s722_713,g_s721_712) ).
tff('Define:ctx:999',axiom,
! [X_1092: $int] :
( mem0(X_1092,g_s723_714)
<=> ( $greatereq(X_1092,min_int)
& $lesseq(X_1092,max_int) ) ) ).
tff('Define:inv:0',axiom,
mem0(g_s969_1_934,g_s389_380) ).
tff('Define:inv:1',axiom,
mem0(g_s970_1_935,g_s715_706) ).
tff('Define:inv:10',axiom,
g_s971_1_936 = g_s963_928 ).
tff('Define:inv:11',axiom,
g_s972_1_937 = g_s964_929 ).
tff('Define:inv:12',axiom,
g_s973_1_938 = g_s965_930 ).
tff('Define:inv:13',axiom,
g_s974_1_939 = g_s966_931 ).
tff('Define:inv:14',axiom,
g_s975_1_940 = g_s967_932 ).
tff('Define:inv:15',axiom,
( g_s976_1_941
<=> g_s968_933 ) ).
tff('Define:inv:2',axiom,
mem0(g_s971_1_936,g_s599_590) ).
tff('Define:inv:3',axiom,
mem0(g_s972_1_937,g_s389_380) ).
tff('Define:inv:4',axiom,
mem0(g_s973_1_938,g_s599_590) ).
tff('Define:inv:5',axiom,
mem0(g_s974_1_939,g_s389_380) ).
tff('Define:inv:6',axiom,
mem0(g_s975_1_940,g_s715_706) ).
tff('Define:inv:7',axiom,
mem3(g_s976_1_941,g_s420_411) ).
tff('Define:inv:8',axiom,
g_s969_1_934 = g_s961_926 ).
tff('Define:inv:9',axiom,
g_s970_1_935 = g_s962_927 ).
tff('Define:seext:0',axiom,
mem0(g_s918_883,g_s385_376) ).
tff('Define:seext:1',axiom,
mem0(g_s919_884,g_s385_376) ).
tff('Define:seext:10',axiom,
mem3(g_s928_893,g_s420_411) ).
tff('Define:seext:11',axiom,
mem3(g_s929_894,g_s420_411) ).
tff('Define:seext:12',axiom,
mem0(g_s930_895,g_s381_372) ).
tff('Define:seext:13',axiom,
$greatereq(g_s930_895,0) ).
tff('Define:seext:14',axiom,
mem0(g_s931_896,g_s381_372) ).
tff('Define:seext:15',axiom,
$greatereq(g_s931_896,0) ).
tff('Define:seext:16',axiom,
mem0(g_s932_898,g_s933_897) ).
tff('Define:seext:17',axiom,
mem0(g_s934_899,g_s933_897) ).
tff('Define:seext:18',axiom,
mem0(g_s935_900,g_s907_872) ).
tff('Define:seext:19',axiom,
mem3(g_s936_901,g_s420_411) ).
tff('Define:seext:2',axiom,
mem0(g_s920_885,g_s385_376) ).
tff('Define:seext:20',axiom,
mem3(g_s937_902,g_s420_411) ).
tff('Define:seext:21',axiom,
mem3(g_s938_903,g_s420_411) ).
tff('Define:seext:22',axiom,
mem0(g_s939_904,g_s131_131) ).
tff('Define:seext:23',axiom,
mem0(g_s940_905,g_s389_380) ).
tff('Define:seext:24',axiom,
mem3(g_s941_906,g_s420_411) ).
tff('Define:seext:25',axiom,
mem3(g_s942_907,g_s420_411) ).
tff('Define:seext:26',axiom,
mem3(g_s943_908,g_s420_411) ).
tff('Define:seext:27',axiom,
mem0(g_s944_909,g_s599_590) ).
tff('Define:seext:28',axiom,
mem0(g_s945_910,g_s389_380) ).
tff('Define:seext:29',axiom,
mem0(g_s946_911,g_s715_706) ).
tff('Define:seext:3',axiom,
mem0(g_s921_886,g_s385_376) ).
tff('Define:seext:30',axiom,
mem3(g_s947_912,g_s420_411) ).
tff('Define:seext:31',axiom,
mem0(g_s948_913,g_s389_380) ).
tff('Define:seext:32',axiom,
$greatereq(g_s948_913,0) ).
tff('Define:seext:33',axiom,
mem0(g_s949_914,g_s389_380) ).
tff('Define:seext:34',axiom,
mem0(g_s950_915,g_s599_590) ).
tff('Define:seext:35',axiom,
mem0(g_s951_916,g_s389_380) ).
tff('Define:seext:36',axiom,
mem0(g_s952_917,g_s389_380) ).
tff('Define:seext:37',axiom,
mem0(g_s953_918,g_s389_380) ).
tff('Define:seext:38',axiom,
mem0(g_s954_919,g_s389_380) ).
tff('Define:seext:39',axiom,
mem3(g_s955_920,g_s420_411) ).
tff('Define:seext:4',axiom,
mem0(g_s922_887,g_s385_376) ).
tff('Define:seext:40',axiom,
mem3(g_s956_921,g_s420_411) ).
tff('Define:seext:41',axiom,
mem0(g_s957_922,g_s717_708) ).
tff('Define:seext:42',axiom,
mem3(g_s958_923,g_s420_411) ).
tff('Define:seext:43',axiom,
mem3(g_s959_924,g_s420_411) ).
tff('Define:seext:44',axiom,
mem0(g_s960_925,g_s389_380) ).
tff('Define:seext:45',axiom,
( g_s955_920
<=> ( ( g_s958_923
<=> $true )
| ( g_s955_920
<=> $true ) ) ) ).
tff('Define:seext:46',axiom,
$greatereq(g_s951_916,0) ).
tff('Define:seext:47',axiom,
$greatereq(g_s952_917,0) ).
tff('Define:seext:48',axiom,
$greatereq(g_s953_918,0) ).
tff('Define:seext:49',axiom,
$greatereq(g_s954_919,0) ).
tff('Define:seext:5',axiom,
mem0(g_s923_888,g_s385_376) ).
tff('Define:seext:6',axiom,
mem3(g_s924_889,g_s420_411) ).
tff('Define:seext:7',axiom,
mem3(g_s925_890,g_s420_411) ).
tff('Define:seext:8',axiom,
mem3(g_s926_891,g_s420_411) ).
tff('Define:seext:9',axiom,
mem3(g_s927_892,g_s420_411) ).
%Global hypotheses
%----Local hypotheses
tff('Local_Hyp:0',hypothesis,
$true ).
tff('Local_Hyp:1',hypothesis,
mem3(g_s981_942,g_s420_411) ).
tff('Local_Hyp:2',hypothesis,
mem0(g_s982_943,g_s32_32) ).
tff('Local_Hyp:3',hypothesis,
mem0(g_s983_944,g_s131_131) ).
tff('Local_Hyp:4',hypothesis,
mem0(g_s984_945,g_s389_380) ).
tff('Local_Hyp:5',hypothesis,
mem0(g_s985_946,g_s715_706) ).
tff('Local_Hyp:6',hypothesis,
mem3(g_s986_947,g_s420_411) ).
tff('Local_Hyp:24',hypothesis,
~ ( g_s976_1_941
<=> $false ) ).
tff('Local_Hyp:9',hypothesis,
mem0(g_s939_904,g_s599_590) ).
tff('Local_Hyp:8',hypothesis,
( g_s925_890
<=> $true ) ).
tff('Local_Hyp:10',hypothesis,
mem2(g_s939_904,g_s34_34,g_s850_823) ).
tff('Local_Hyp:11',hypothesis,
! [X_2784: $o] :
( ( (X_2784)
<=> mem0(g_s939_904,g_s599_590) )
=> mem3((X_2784),g_s420_411) ) ).
tff('Local_Hyp:12',hypothesis,
( g_s947_912
<=> $true ) ).
tff('Local_Hyp:13',hypothesis,
! [X_2785: $int] :
( mem2(g_s939_904,X_2785,g_s850_823)
=> mem0(X_2785,g_s32_32) ) ).
tff('Local_Hyp:17',hypothesis,
~ mem2(g_s944_909,g_s34_34,g_s850_823) ).
tff('Local_Hyp:15',hypothesis,
~ ( ( g_s925_890
<=> $true )
& mem0(g_s939_904,g_s599_590)
& mem2(g_s939_904,g_s34_34,g_s850_823) ) ).
%----Goal
tff('Goal',conjecture,
g_s951_916 = 0 ).
%------------------------------------------------------------------------------