TPTP Problem File: SWC534_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWC534_1 : TPTP v9.0.0. Released v9.0.0.
% Domain : Software Creation
% Problem : Atelier-B Proof Obligation: PO 83 5 Group s734 Tag s626
% Version : Especial.
% English :
% Refs : [Deh22] Deharbe (2022), Proof Obligations from the B Formal Me
% : [Deh24] Deharbe (2024), Email to Geoff Sutcliffe
% Source : [Deh24]
% Names : 0015-00044-83-5.tptp [Deh24]
% Status : ContradictoryAxioms
% Rating : 0.00 v9.0.0
% Syntax : Number of formulae : 1518 ( 193 unt; 727 typ; 0 def)
% Number of atoms : 3976 ( 519 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 3337 ( 150 ~; 80 |;1564 &)
% ( 409 <=>;1134 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of FOOLs : 11 ( 0 fml; 11 var)
% Number arithmetic : 3377 ( 296 atm; 26 fun; 184 num;2871 var)
% Number of types : 25 ( 22 usr; 2 ari)
% Number of type conns : 116 ( 50 >; 66 *; 0 +; 0 <<)
% Number of predicates : 32 ( 25 usr; 4 prp; 0-5 aty)
% Number of functors : 692 ( 680 usr; 660 con; 0-2 aty)
% Number of variables : 3312 (2677 !; 635 ?;3312 :)
% 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_s0_0_type,type,
g_s0_0: set_0 ).
tff(g_s100_100_type,type,
g_s100_100: $int ).
tff(g_s101_101_type,type,
g_s101_101: $int ).
tff(g_s102_102_type,type,
g_s102_102: $int ).
tff(g_s103_103_type,type,
g_s103_103: $int ).
tff(g_s104_104_type,type,
g_s104_104: $int ).
tff(g_s105_105_type,type,
g_s105_105: $int ).
tff(g_s106_106_type,type,
g_s106_106: $int ).
tff(g_s107_107_type,type,
g_s107_107: $int ).
tff(g_s108_108_type,type,
g_s108_108: set_0 ).
tff(g_s109_109_type,type,
g_s109_109: set_0 ).
tff(g_s10_10_type,type,
g_s10_10: set_0 ).
tff(g_s110_110_type,type,
g_s110_110: set_0 ).
tff(g_s111_111_type,type,
g_s111_111: set_0 ).
tff(g_s112_112_type,type,
g_s112_112: set_0 ).
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: set_0 ).
tff(g_s117_117_type,type,
g_s117_117: set_0 ).
tff(g_s118_118_type,type,
g_s118_118: set_0 ).
tff(g_s119_119_type,type,
g_s119_119: set_0 ).
tff(g_s11_11_type,type,
g_s11_11: set_0 ).
tff(g_s120_120_type,type,
g_s120_120: set_3 ).
tff(g_s123_121_type,type,
g_s123_121: set_4 ).
tff(g_s124_122_type,type,
g_s124_122: set_0 ).
tff(g_s125_123_type,type,
g_s125_123: set_0 ).
tff(g_s126_124_type,type,
g_s126_124: set_0 ).
tff(g_s127_125_type,type,
g_s127_125: $int ).
tff(g_s128_126_type,type,
g_s128_126: $int ).
tff(g_s129_127_type,type,
g_s129_127: set_0 ).
tff(g_s12_12_type,type,
g_s12_12: set_0 ).
tff(g_s130_128_type,type,
g_s130_128: set_0 ).
tff(g_s131_129_type,type,
g_s131_129: $int ).
tff(g_s132_130_type,type,
g_s132_130: $int ).
tff(g_s133_131_type,type,
g_s133_131: set_2 ).
tff(g_s134_132_type,type,
g_s134_132: $int ).
tff(g_s135_133_type,type,
g_s135_133: set_0 ).
tff(g_s136_134_type,type,
g_s136_134: $int ).
tff(g_s137_135_type,type,
g_s137_135: $int ).
tff(g_s138_136_type,type,
g_s138_136: set_2 ).
tff(g_s139_137_type,type,
g_s139_137: $int ).
tff(g_s13_13_type,type,
g_s13_13: $int ).
tff(g_s140_138_type,type,
g_s140_138: set_3 ).
tff(g_s141_139_type,type,
g_s141_139: set_0 ).
tff(g_s142_140_type,type,
g_s142_140: set_3 ).
tff(g_s143_141_type,type,
g_s143_141: set_3 ).
tff(g_s144_142_type,type,
g_s144_142: set_3 ).
tff(g_s145_143_type,type,
g_s145_143: set_5 ).
tff(g_s146_144_type,type,
g_s146_144: set_5 ).
tff(g_s147_145_type,type,
g_s147_145: set_5 ).
tff(g_s148_146_type,type,
g_s148_146: set_5 ).
tff(g_s149_147_type,type,
g_s149_147: set_5 ).
tff(g_s14_14_type,type,
g_s14_14: $int ).
tff(g_s150_148_type,type,
g_s150_148: set_2 ).
tff(g_s151_149_type,type,
g_s151_149: set_2 ).
tff(g_s152_150_type,type,
g_s152_150: set_3 ).
tff(g_s153_151_type,type,
g_s153_151: set_3 ).
tff(g_s154_152_type,type,
g_s154_152: set_3 ).
tff(g_s155_153_type,type,
g_s155_153: set_3 ).
tff(g_s156_154_type,type,
g_s156_154: set_2 ).
tff(g_s157_155_type,type,
g_s157_155: set_2 ).
tff(g_s158_156_type,type,
g_s158_156: set_3 ).
tff(g_s159_157_type,type,
g_s159_157: set_3 ).
tff(g_s15_15_type,type,
g_s15_15: set_0 ).
tff(g_s160_158_type,type,
g_s160_158: set_3 ).
tff(g_s161_159_type,type,
g_s161_159: set_3 ).
tff(g_s162_160_type,type,
g_s162_160: set_3 ).
tff(g_s163_161_type,type,
g_s163_161: set_3 ).
tff(g_s166_162_type,type,
g_s166_162: set_0 ).
tff(g_s167_163_type,type,
g_s167_163: set_0 ).
tff(g_s168_164_type,type,
g_s168_164: $int ).
tff(g_s169_165_type,type,
g_s169_165: set_0 ).
tff(g_s16_16_type,type,
g_s16_16: $int ).
tff(g_s170_166_type,type,
g_s170_166: set_0 ).
tff(g_s171_167_type,type,
g_s171_167: $int ).
tff(g_s172_168_type,type,
g_s172_168: set_0 ).
tff(g_s173_169_type,type,
g_s173_169: set_0 ).
tff(g_s174_170_type,type,
g_s174_170: $int ).
tff(g_s175_171_type,type,
g_s175_171: set_0 ).
tff(g_s176_172_type,type,
g_s176_172: set_0 ).
tff(g_s177_173_type,type,
g_s177_173: $int ).
tff(g_s178_174_type,type,
g_s178_174: $int ).
tff(g_s179_175_type,type,
g_s179_175: $int ).
tff(g_s17_17_type,type,
g_s17_17: $int ).
tff(g_s180_176_type,type,
g_s180_176: set_0 ).
tff(g_s181_177_type,type,
g_s181_177: set_0 ).
tff(g_s182_178_type,type,
g_s182_178: $int ).
tff(g_s183_179_type,type,
g_s183_179: $int ).
tff(g_s184_180_type,type,
g_s184_180: $int ).
tff(g_s185_181_type,type,
g_s185_181: set_2 ).
tff(g_s186_182_type,type,
g_s186_182: set_2 ).
tff(g_s187_183_type,type,
g_s187_183: set_0 ).
tff(g_s188_184_type,type,
g_s188_184: $int ).
tff(g_s189_185_type,type,
g_s189_185: set_2 ).
tff(g_s18_18_type,type,
g_s18_18: $int ).
tff(g_s190_186_type,type,
g_s190_186: set_0 ).
tff(g_s191_187_type,type,
g_s191_187: $int ).
tff(g_s192_188_type,type,
g_s192_188: set_2 ).
tff(g_s193_189_type,type,
g_s193_189: set_0 ).
tff(g_s194_190_type,type,
g_s194_190: $int ).
tff(g_s195_191_type,type,
g_s195_191: set_2 ).
tff(g_s196_192_type,type,
g_s196_192: set_0 ).
tff(g_s197_193_type,type,
g_s197_193: set_2 ).
tff(g_s198_194_type,type,
g_s198_194: set_0 ).
tff(g_s199_195_type,type,
g_s199_195: $int ).
tff(g_s19_19_type,type,
g_s19_19: $int ).
tff(g_s1_1_type,type,
g_s1_1: set_0 ).
tff(g_s200_196_type,type,
g_s200_196: set_2 ).
tff(g_s201_197_type,type,
g_s201_197: set_0 ).
tff(g_s202_198_type,type,
g_s202_198: $int ).
tff(g_s203_199_type,type,
g_s203_199: set_2 ).
tff(g_s204_200_type,type,
g_s204_200: set_0 ).
tff(g_s205_201_type,type,
g_s205_201: $int ).
tff(g_s206_202_type,type,
g_s206_202: set_2 ).
tff(g_s207_203_type,type,
g_s207_203: set_0 ).
tff(g_s208_204_type,type,
g_s208_204: set_0 ).
tff(g_s209_205_type,type,
g_s209_205: set_0 ).
tff(g_s20_20_type,type,
g_s20_20: $int ).
tff(g_s210_206_type,type,
g_s210_206: set_0 ).
tff(g_s211_207_type,type,
g_s211_207: $int ).
tff(g_s212_208_type,type,
g_s212_208: set_2 ).
tff(g_s213_209_type,type,
g_s213_209: set_0 ).
tff(g_s214_210_type,type,
g_s214_210: set_2 ).
tff(g_s215_211_type,type,
g_s215_211: set_2 ).
tff(g_s216_212_type,type,
g_s216_212: set_2 ).
tff(g_s217_213_type,type,
g_s217_213: set_2 ).
tff(g_s218_214_type,type,
g_s218_214: set_0 ).
tff(g_s219_215_type,type,
g_s219_215: $int ).
tff(g_s21_21_type,type,
g_s21_21: set_0 ).
tff(g_s220_216_type,type,
g_s220_216: set_2 ).
tff(g_s221_217_type,type,
g_s221_217: set_0 ).
tff(g_s222_218_type,type,
g_s222_218: set_0 ).
tff(g_s223_219_type,type,
g_s223_219: set_2 ).
tff(g_s224_220_type,type,
g_s224_220: set_0 ).
tff(g_s225_221_type,type,
g_s225_221: $int ).
tff(g_s226_222_type,type,
g_s226_222: set_2 ).
tff(g_s227_223_type,type,
g_s227_223: set_0 ).
tff(g_s228_224_type,type,
g_s228_224: set_0 ).
tff(g_s229_225_type,type,
g_s229_225: $int ).
tff(g_s22_22_type,type,
g_s22_22: $int ).
tff(g_s230_226_type,type,
g_s230_226: set_2 ).
tff(g_s231_227_type,type,
g_s231_227: set_0 ).
tff(g_s232_228_type,type,
g_s232_228: $int ).
tff(g_s233_229_type,type,
g_s233_229: set_2 ).
tff(g_s234_230_type,type,
g_s234_230: set_2 ).
tff(g_s235_231_type,type,
g_s235_231: set_2 ).
tff(g_s236_232_type,type,
g_s236_232: set_0 ).
tff(g_s237_233_type,type,
g_s237_233: set_2 ).
tff(g_s238_234_type,type,
g_s238_234: set_0 ).
tff(g_s239_235_type,type,
g_s239_235: set_2 ).
tff(g_s23_23_type,type,
g_s23_23: $int ).
tff(g_s240_236_type,type,
g_s240_236: set_3 ).
tff(g_s241_237_type,type,
g_s241_237: set_2 ).
tff(g_s242_238_type,type,
g_s242_238: set_2 ).
tff(g_s243_239_type,type,
g_s243_239: set_2 ).
tff(g_s244_240_type,type,
g_s244_240: set_2 ).
tff(g_s245_241_type,type,
g_s245_241: set_2 ).
tff(g_s246_242_type,type,
g_s246_242: set_6 ).
tff(g_s247_243_type,type,
g_s247_243: set_2 ).
tff(g_s249_244_type,type,
g_s249_244: set_0 ).
tff(g_s24_24_type,type,
g_s24_24: $int ).
tff(g_s250_245_type,type,
g_s250_245: set_0 ).
tff(g_s251_246_type,type,
g_s251_246: set_0 ).
tff(g_s252_247_type,type,
g_s252_247: set_0 ).
tff(g_s253_248_type,type,
g_s253_248: set_0 ).
tff(g_s254_249_type,type,
g_s254_249: set_2 ).
tff(g_s255_250_type,type,
g_s255_250: set_0 ).
tff(g_s256_251_type,type,
g_s256_251: set_2 ).
tff(g_s257_252_type,type,
g_s257_252: set_6 ).
tff(g_s258_253_type,type,
g_s258_253: set_2 ).
tff(g_s259_254_type,type,
g_s259_254: set_2 ).
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_2 ).
tff(g_s262_257_type,type,
g_s262_257: set_2 ).
tff(g_s263_258_type,type,
g_s263_258: set_6 ).
tff(g_s264_259_type,type,
g_s264_259: set_2 ).
tff(g_s265_260_type,type,
g_s265_260: set_2 ).
tff(g_s266_261_type,type,
g_s266_261: set_0 ).
tff(g_s267_262_type,type,
g_s267_262: set_2 ).
tff(g_s268_263_type,type,
g_s268_263: set_3 ).
tff(g_s269_264_type,type,
g_s269_264: set_3 ).
tff(g_s26_26_type,type,
g_s26_26: set_0 ).
tff(g_s270_265_type,type,
g_s270_265: set_3 ).
tff(g_s271_266_type,type,
g_s271_266: set_3 ).
tff(g_s272_267_type,type,
g_s272_267: set_3 ).
tff(g_s273_268_type,type,
g_s273_268: set_3 ).
tff(g_s274_269_type,type,
g_s274_269: set_3 ).
tff(g_s275_270_type,type,
g_s275_270: set_3 ).
tff(g_s276_271_type,type,
g_s276_271: set_3 ).
tff(g_s27_27_type,type,
g_s27_27: $int ).
tff(g_s280_272_type,type,
g_s280_272: set_3 ).
tff(g_s281_273_type,type,
g_s281_273: set_5 ).
tff(g_s282_274_type,type,
g_s282_274: set_2 ).
tff(g_s284_275_type,type,
g_s284_275: set_3 ).
tff(g_s285_276_type,type,
g_s285_276: set_0 ).
tff(g_s286_277_type,type,
g_s286_277: set_5 ).
tff(g_s287_278_type,type,
g_s287_278: set_2 ).
tff(g_s288_279_type,type,
g_s288_279: set_0 ).
tff(g_s289_280_type,type,
g_s289_280: set_3 ).
tff(g_s28_28_type,type,
g_s28_28: $int ).
tff(g_s290_281_type,type,
g_s290_281: set_2 ).
tff(g_s291_282_type,type,
g_s291_282: set_7 ).
tff(g_s292_283_type,type,
g_s292_283: set_7 ).
tff(g_s293_284_type,type,
g_s293_284: set_2 ).
tff(g_s294_285_type,type,
g_s294_285: set_2 ).
tff(g_s295_286_type,type,
g_s295_286: set_2 ).
tff(g_s296_287_type,type,
g_s296_287: set_2 ).
tff(g_s297_288_type,type,
g_s297_288: set_0 ).
tff(g_s29_29_type,type,
g_s29_29: $int ).
tff(g_s2_2_type,type,
g_s2_2: set_0 ).
tff(g_s300_289_type,type,
g_s300_289: set_2 ).
tff(g_s301_290_type,type,
g_s301_290: set_6 ).
tff(g_s302_291_type,type,
g_s302_291: set_2 ).
tff(g_s303_292_type,type,
g_s303_292: set_2 ).
tff(g_s304_293_type,type,
g_s304_293: set_3 ).
tff(g_s305_294_type,type,
g_s305_294: set_2 ).
tff(g_s306_295_type,type,
g_s306_295: set_2 ).
tff(g_s307_296_type,type,
g_s307_296: set_2 ).
tff(g_s308_297_type,type,
g_s308_297: set_0 ).
tff(g_s309_298_type,type,
g_s309_298: set_2 ).
tff(g_s30_30_type,type,
g_s30_30: set_0 ).
tff(g_s310_299_type,type,
g_s310_299: set_6 ).
tff(g_s311_300_type,type,
g_s311_300: set_2 ).
tff(g_s312_301_type,type,
g_s312_301: set_2 ).
tff(g_s313_302_type,type,
g_s313_302: set_2 ).
tff(g_s314_303_type,type,
g_s314_303: set_2 ).
tff(g_s315_304_type,type,
g_s315_304: set_2 ).
tff(g_s316_305_type,type,
g_s316_305: set_3 ).
tff(g_s317_306_type,type,
g_s317_306: set_3 ).
tff(g_s318_307_type,type,
g_s318_307: set_3 ).
tff(g_s319_308_type,type,
g_s319_308: set_0 ).
tff(g_s31_31_type,type,
g_s31_31: $int ).
tff(g_s320_309_type,type,
g_s320_309: set_3 ).
tff(g_s321_310_type,type,
g_s321_310: set_3 ).
tff(g_s322_311_type,type,
g_s322_311: set_0 ).
tff(g_s323_312_type,type,
g_s323_312: set_2 ).
tff(g_s324_313_type,type,
g_s324_313: set_2 ).
tff(g_s325_314_type,type,
g_s325_314: set_2 ).
tff(g_s326_315_type,type,
g_s326_315: set_2 ).
tff(g_s327_316_type,type,
g_s327_316: set_3 ).
tff(g_s328_317_type,type,
g_s328_317: set_3 ).
tff(g_s329_318_type,type,
g_s329_318: set_0 ).
tff(g_s32_32_type,type,
g_s32_32: $int ).
tff(g_s330_319_type,type,
g_s330_319: set_3 ).
tff(g_s331_320_type,type,
g_s331_320: set_0 ).
tff(g_s332_321_type,type,
g_s332_321: set_0 ).
tff(g_s334_322_type,type,
g_s334_322: set_3 ).
tff(g_s335_323_type,type,
g_s335_323: set_5 ).
tff(g_s336_324_type,type,
g_s336_324: set_2 ).
tff(g_s337_325_type,type,
g_s337_325: $int ).
tff(g_s338_326_type,type,
g_s338_326: $int ).
tff(g_s339_327_type,type,
g_s339_327: $int ).
tff(g_s33_33_type,type,
g_s33_33: $int ).
tff(g_s340_328_type,type,
g_s340_328: $int ).
tff(g_s341_329_type,type,
g_s341_329: $int ).
tff(g_s342_330_type,type,
g_s342_330: $int ).
tff(g_s343_331_type,type,
g_s343_331: $int ).
tff(g_s344_332_type,type,
g_s344_332: $int ).
tff(g_s345_333_type,type,
g_s345_333: $int ).
tff(g_s346_334_type,type,
g_s346_334: $int ).
tff(g_s347_335_type,type,
g_s347_335: $int ).
tff(g_s348_336_type,type,
g_s348_336: $int ).
tff(g_s349_337_type,type,
g_s349_337: $int ).
tff(g_s34_34_type,type,
g_s34_34: set_0 ).
tff(g_s350_338_type,type,
g_s350_338: $int ).
tff(g_s351_339_type,type,
g_s351_339: $int ).
tff(g_s352_340_type,type,
g_s352_340: $int ).
tff(g_s353_341_type,type,
g_s353_341: $int ).
tff(g_s354_342_type,type,
g_s354_342: $int ).
tff(g_s355_343_type,type,
g_s355_343: $int ).
tff(g_s356_344_type,type,
g_s356_344: $int ).
tff(g_s357_345_type,type,
g_s357_345: $int ).
tff(g_s358_346_type,type,
g_s358_346: $int ).
tff(g_s359_347_type,type,
g_s359_347: $int ).
tff(g_s35_35_type,type,
g_s35_35: $int ).
tff(g_s360_348_type,type,
g_s360_348: $int ).
tff(g_s361_349_type,type,
g_s361_349: $int ).
tff(g_s362_350_type,type,
g_s362_350: $int ).
tff(g_s363_351_type,type,
g_s363_351: $int ).
tff(g_s364_352_type,type,
g_s364_352: $int ).
tff(g_s365_353_type,type,
g_s365_353: $int ).
tff(g_s366_354_type,type,
g_s366_354: $int ).
tff(g_s367_355_type,type,
g_s367_355: $int ).
tff(g_s368_356_type,type,
g_s368_356: $int ).
tff(g_s369_357_type,type,
g_s369_357: $int ).
tff(g_s36_36_type,type,
g_s36_36: $int ).
tff(g_s370_358_type,type,
g_s370_358: $int ).
tff(g_s371_359_type,type,
g_s371_359: $int ).
tff(g_s372_360_type,type,
g_s372_360: $int ).
tff(g_s373_361_type,type,
g_s373_361: $int ).
tff(g_s374_362_type,type,
g_s374_362: $int ).
tff(g_s375_363_type,type,
g_s375_363: $int ).
tff(g_s376_364_type,type,
g_s376_364: $int ).
tff(g_s377_365_type,type,
g_s377_365: $int ).
tff(g_s378_366_type,type,
g_s378_366: $int ).
tff(g_s379_367_type,type,
g_s379_367: $int ).
tff(g_s37_37_type,type,
g_s37_37: $int ).
tff(g_s380_368_type,type,
g_s380_368: $int ).
tff(g_s381_369_type,type,
g_s381_369: set_9 ).
tff(g_s382_370_type,type,
g_s382_370: set_10 ).
tff(g_s383_371_type,type,
g_s383_371: $int ).
tff(g_s384_372_type,type,
g_s384_372: $int ).
tff(g_s385_373_type,type,
g_s385_373: set_2 ).
tff(g_s386_374_type,type,
g_s386_374: $int ).
tff(g_s387_375_type,type,
g_s387_375: $int ).
tff(g_s388_377_type,type,
g_s388_377: $int ).
tff(g_s389_376_type,type,
g_s389_376: set_0 ).
tff(g_s38_38_type,type,
g_s38_38: set_0 ).
tff(g_s390_379_type,type,
g_s390_379: $int ).
tff(g_s391_378_type,type,
g_s391_378: set_0 ).
tff(g_s392_381_type,type,
g_s392_381: $int ).
tff(g_s393_380_type,type,
g_s393_380: set_0 ).
tff(g_s394_382_type,type,
g_s394_382: $int ).
tff(g_s395_383_type,type,
g_s395_383: $int ).
tff(g_s396_384_type,type,
g_s396_384: set_2 ).
tff(g_s397_385_type,type,
g_s397_385: set_0 ).
tff(g_s398_386_type,type,
g_s398_386: set_0 ).
tff(g_s399_387_type,type,
g_s399_387: set_0 ).
tff(g_s39_39_type,type,
g_s39_39: $int ).
tff(g_s3_3_type,type,
g_s3_3: set_0 ).
tff(g_s402_388_type,type,
g_s402_388: set_2 ).
tff(g_s403_389_type,type,
g_s403_389: set_0 ).
tff(g_s404_390_type,type,
g_s404_390: set_0 ).
tff(g_s405_391_type,type,
g_s405_391: set_0 ).
tff(g_s406_392_type,type,
g_s406_392: set_0 ).
tff(g_s407_393_type,type,
g_s407_393: set_0 ).
tff(g_s408_394_type,type,
g_s408_394: set_2 ).
tff(g_s409_395_type,type,
g_s409_395: set_2 ).
tff(g_s40_40_type,type,
g_s40_40: $int ).
tff(g_s410_396_type,type,
g_s410_396: set_2 ).
tff(g_s411_397_type,type,
g_s411_397: set_2 ).
tff(g_s412_398_type,type,
g_s412_398: set_2 ).
tff(g_s413_399_type,type,
g_s413_399: set_2 ).
tff(g_s414_400_type,type,
g_s414_400: set_0 ).
tff(g_s415_401_type,type,
g_s415_401: set_2 ).
tff(g_s416_402_type,type,
g_s416_402: set_2 ).
tff(g_s417_403_type,type,
g_s417_403: set_2 ).
tff(g_s418_404_type,type,
g_s418_404: set_2 ).
tff(g_s419_405_type,type,
g_s419_405: set_2 ).
tff(g_s41_41_type,type,
g_s41_41: $int ).
tff(g_s420_406_type,type,
g_s420_406: set_2 ).
tff(g_s421_407_type,type,
g_s421_407: set_2 ).
tff(g_s422_408_type,type,
g_s422_408: set_2 ).
tff(g_s423_409_type,type,
g_s423_409: set_2 ).
tff(g_s424_410_type,type,
g_s424_410: set_0 ).
tff(g_s425_411_type,type,
g_s425_411: set_2 ).
tff(g_s426_412_type,type,
g_s426_412: set_2 ).
tff(g_s427_413_type,type,
g_s427_413: set_0 ).
tff(g_s428_414_type,type,
g_s428_414: set_0 ).
tff(g_s429_415_type,type,
g_s429_415: set_0 ).
tff(g_s42_42_type,type,
g_s42_42: $int ).
tff(g_s430_416_type,type,
g_s430_416: set_0 ).
tff(g_s431_417_type,type,
g_s431_417: set_0 ).
tff(g_s432_418_type,type,
g_s432_418: set_0 ).
tff(g_s433_419_type,type,
g_s433_419: set_0 ).
tff(g_s434_420_type,type,
g_s434_420: set_0 ).
tff(g_s435_421_type,type,
g_s435_421: set_0 ).
tff(g_s436_422_type,type,
g_s436_422: set_2 ).
tff(g_s437_423_type,type,
g_s437_423: set_0 ).
tff(g_s438_424_type,type,
g_s438_424: set_0 ).
tff(g_s439_425_type,type,
g_s439_425: set_0 ).
tff(g_s43_43_type,type,
g_s43_43: set_0 ).
tff(g_s440_426_type,type,
g_s440_426: set_2 ).
tff(g_s441_427_type,type,
g_s441_427: set_2 ).
tff(g_s442_428_type,type,
g_s442_428: set_0 ).
tff(g_s443_429_type,type,
g_s443_429: set_2 ).
tff(g_s444_430_type,type,
g_s444_430: set_2 ).
tff(g_s445_431_type,type,
g_s445_431: set_2 ).
tff(g_s446_432_type,type,
g_s446_432: set_2 ).
tff(g_s447_433_type,type,
g_s447_433: set_6 ).
tff(g_s448_434_type,type,
g_s448_434: set_0 ).
tff(g_s449_435_type,type,
g_s449_435: set_0 ).
tff(g_s44_44_type,type,
g_s44_44: $int ).
tff(g_s450_436_type,type,
g_s450_436: set_2 ).
tff(g_s451_437_type,type,
g_s451_437: set_0 ).
tff(g_s452_438_type,type,
g_s452_438: set_2 ).
tff(g_s453_439_type,type,
g_s453_439: set_7 ).
tff(g_s454_440_type,type,
g_s454_440: set_0 ).
tff(g_s455_441_type,type,
g_s455_441: set_0 ).
tff(g_s456_442_type,type,
g_s456_442: set_6 ).
tff(g_s457_443_type,type,
g_s457_443: set_2 ).
tff(g_s458_444_type,type,
g_s458_444: set_0 ).
tff(g_s459_446_type,type,
g_s459_446: $int ).
tff(g_s45_45_type,type,
g_s45_45: $int ).
tff(g_s460_445_type,type,
g_s460_445: set_0 ).
tff(g_s461_447_type,type,
g_s461_447: $int ).
tff(g_s462_448_type,type,
g_s462_448: $int ).
tff(g_s463_449_type,type,
g_s463_449: $int ).
tff(g_s464_451_type,type,
g_s464_451: $int ).
tff(g_s465_450_type,type,
g_s465_450: set_0 ).
tff(g_s466_452_type,type,
g_s466_452: $int ).
tff(g_s467_453_type,type,
g_s467_453: $int ).
tff(g_s468_454_type,type,
g_s468_454: $int ).
tff(g_s469_455_type,type,
g_s469_455: $int ).
tff(g_s46_46_type,type,
g_s46_46: $int ).
tff(g_s470_456_type,type,
g_s470_456: $int ).
tff(g_s471_457_type,type,
g_s471_457: $int ).
tff(g_s472_459_type,type,
g_s472_459: $int ).
tff(g_s473_458_type,type,
g_s473_458: set_0 ).
tff(g_s474_461_type,type,
g_s474_461: $int ).
tff(g_s475_460_type,type,
g_s475_460: set_0 ).
tff(g_s476_463_type,type,
g_s476_463: $int ).
tff(g_s477_462_type,type,
g_s477_462: set_0 ).
tff(g_s478_464_type,type,
g_s478_464: $int ).
tff(g_s479_465_type,type,
g_s479_465: $int ).
tff(g_s47_47_type,type,
g_s47_47: $int ).
tff(g_s480_466_type,type,
g_s480_466: $int ).
tff(g_s481_467_type,type,
g_s481_467: $int ).
tff(g_s482_468_type,type,
g_s482_468: $int ).
tff(g_s483_469_type,type,
g_s483_469: $int ).
tff(g_s484_471_type,type,
g_s484_471: $int ).
tff(g_s485_470_type,type,
g_s485_470: set_0 ).
tff(g_s486_472_type,type,
g_s486_472: $int ).
tff(g_s487_473_type,type,
g_s487_473: set_0 ).
tff(g_s488_474_type,type,
g_s488_474: set_0 ).
tff(g_s489_475_type,type,
g_s489_475: set_0 ).
tff(g_s48_48_type,type,
g_s48_48: $int ).
tff(g_s490_476_type,type,
g_s490_476: set_2 ).
tff(g_s491_477_type,type,
g_s491_477: set_0 ).
tff(g_s492_478_type,type,
g_s492_478: set_2 ).
tff(g_s493_479_type,type,
g_s493_479: set_2 ).
tff(g_s494_480_type,type,
g_s494_480: set_0 ).
tff(g_s495_481_type,type,
g_s495_481: set_2 ).
tff(g_s496_482_type,type,
g_s496_482: set_0 ).
tff(g_s497_483_type,type,
g_s497_483: set_2 ).
tff(g_s498_484_type,type,
g_s498_484: set_2 ).
tff(g_s499_485_type,type,
g_s499_485: set_0 ).
tff(g_s49_49_type,type,
g_s49_49: $int ).
tff(g_s4_4_type,type,
g_s4_4: set_0 ).
tff(g_s500_486_type,type,
g_s500_486: set_0 ).
tff(g_s501_487_type,type,
g_s501_487: set_2 ).
tff(g_s502_488_type,type,
g_s502_488: set_0 ).
tff(g_s503_489_type,type,
g_s503_489: set_0 ).
tff(g_s504_490_type,type,
g_s504_490: set_0 ).
tff(g_s505_491_type,type,
g_s505_491: set_2 ).
tff(g_s506_492_type,type,
g_s506_492: set_2 ).
tff(g_s507_493_type,type,
g_s507_493: set_2 ).
tff(g_s508_494_type,type,
g_s508_494: set_2 ).
tff(g_s509_495_type,type,
g_s509_495: set_0 ).
tff(g_s50_50_type,type,
g_s50_50: $int ).
tff(g_s510_496_type,type,
g_s510_496: set_0 ).
tff(g_s511_497_type,type,
g_s511_497: set_0 ).
tff(g_s512_498_type,type,
g_s512_498: set_0 ).
tff(g_s513_499_type,type,
g_s513_499: set_0 ).
tff(g_s514_500_type,type,
g_s514_500: set_0 ).
tff(g_s515_501_type,type,
g_s515_501: set_0 ).
tff(g_s516_502_type,type,
g_s516_502: set_0 ).
tff(g_s517_503_type,type,
g_s517_503: set_0 ).
tff(g_s518_504_type,type,
g_s518_504: set_0 ).
tff(g_s519_505_type,type,
g_s519_505: set_0 ).
tff(g_s51_51_type,type,
g_s51_51: $int ).
tff(g_s520_506_type,type,
g_s520_506: set_0 ).
tff(g_s521_507_type,type,
g_s521_507: set_0 ).
tff(g_s522_508_type,type,
g_s522_508: set_0 ).
tff(g_s523_509_type,type,
g_s523_509: set_0 ).
tff(g_s524_510_type,type,
g_s524_510: set_0 ).
tff(g_s525_511_type,type,
g_s525_511: set_0 ).
tff(g_s526_512_type,type,
g_s526_512: set_0 ).
tff(g_s527_513_type,type,
g_s527_513: set_0 ).
tff(g_s528_514_type,type,
g_s528_514: set_0 ).
tff(g_s529_515_type,type,
g_s529_515: set_0 ).
tff(g_s52_52_type,type,
g_s52_52: set_0 ).
tff(g_s530_516_type,type,
g_s530_516: set_0 ).
tff(g_s531_517_type,type,
g_s531_517: set_0 ).
tff(g_s532_518_type,type,
g_s532_518: set_0 ).
tff(g_s533_519_type,type,
g_s533_519: set_0 ).
tff(g_s534_520_type,type,
g_s534_520: set_2 ).
tff(g_s535_521_type,type,
g_s535_521: set_2 ).
tff(g_s536_522_type,type,
g_s536_522: set_2 ).
tff(g_s537_523_type,type,
g_s537_523: set_0 ).
tff(g_s538_524_type,type,
g_s538_524: set_0 ).
tff(g_s539_525_type,type,
g_s539_525: set_2 ).
tff(g_s53_53_type,type,
g_s53_53: $int ).
tff(g_s540_526_type,type,
g_s540_526: set_0 ).
tff(g_s541_527_type,type,
g_s541_527: set_0 ).
tff(g_s542_528_type,type,
g_s542_528: set_0 ).
tff(g_s543_529_type,type,
g_s543_529: set_0 ).
tff(g_s544_530_type,type,
g_s544_530: set_0 ).
tff(g_s545_531_type,type,
g_s545_531: set_0 ).
tff(g_s546_532_type,type,
g_s546_532: set_0 ).
tff(g_s547_533_type,type,
g_s547_533: set_0 ).
tff(g_s548_534_type,type,
g_s548_534: set_0 ).
tff(g_s549_535_type,type,
g_s549_535: set_0 ).
tff(g_s54_54_type,type,
g_s54_54: $int ).
tff(g_s550_536_type,type,
g_s550_536: set_0 ).
tff(g_s551_537_type,type,
g_s551_537: set_0 ).
tff(g_s552_538_type,type,
g_s552_538: set_0 ).
tff(g_s553_539_type,type,
g_s553_539: $int ).
tff(g_s554_541_type,type,
g_s554_541: $int ).
tff(g_s555_540_type,type,
g_s555_540: set_0 ).
tff(g_s557_542_type,type,
g_s557_542: set_2 ).
tff(g_s558_543_type,type,
g_s558_543: set_0 ).
tff(g_s559_544_type,type,
g_s559_544: set_0 ).
tff(g_s55_55_type,type,
g_s55_55: $int ).
tff(g_s560_545_type,type,
g_s560_545: set_2 ).
tff(g_s561_546_type,type,
g_s561_546: set_0 ).
tff(g_s562_547_type,type,
g_s562_547: set_2 ).
tff(g_s563_548_type,type,
g_s563_548: set_0 ).
tff(g_s564_549_type,type,
g_s564_549: set_2 ).
tff(g_s565_550_type,type,
g_s565_550: set_7 ).
tff(g_s566_551_type,type,
g_s566_551: set_7 ).
tff(g_s567_552_type,type,
g_s567_552: set_7 ).
tff(g_s568_553_type,type,
g_s568_553: set_7 ).
tff(g_s56_56_type,type,
g_s56_56: $int ).
tff(g_s570_554_type,type,
g_s570_554: $int ).
tff(g_s571_555_type,type,
g_s571_555: set_2 ).
tff(g_s572_556_type,type,
g_s572_556: set_0 ).
tff(g_s573_557_type,type,
g_s573_557: set_0 ).
tff(g_s574_558_type,type,
g_s574_558: set_0 ).
tff(g_s575_559_type,type,
g_s575_559: set_2 ).
tff(g_s576_560_type,type,
g_s576_560: set_2 ).
tff(g_s578_561_type,type,
g_s578_561: set_0 ).
tff(g_s579_562_type,type,
g_s579_562: set_2 ).
tff(g_s57_57_type,type,
g_s57_57: set_0 ).
tff(g_s580_563_type,type,
g_s580_563: set_2 ).
tff(g_s581_564_type,type,
g_s581_564: set_2 ).
tff(g_s582_565_type,type,
g_s582_565: set_2 ).
tff(g_s583_566_type,type,
g_s583_566: set_2 ).
tff(g_s584_567_type,type,
g_s584_567: set_2 ).
tff(g_s585_568_type,type,
g_s585_568: set_2 ).
tff(g_s586_569_type,type,
g_s586_569: set_0 ).
tff(g_s587_570_type,type,
g_s587_570: set_2 ).
tff(g_s588_571_type,type,
g_s588_571: set_2 ).
tff(g_s589_572_type,type,
g_s589_572: $int ).
tff(g_s58_58_type,type,
g_s58_58: $int ).
tff(g_s590_573_type,type,
g_s590_573: $int ).
tff(g_s591_574_type,type,
g_s591_574: set_2 ).
tff(g_s592_575_type,type,
g_s592_575: set_0 ).
tff(g_s593_576_type,type,
g_s593_576: set_2 ).
tff(g_s594_577_type,type,
g_s594_577: set_2 ).
tff(g_s595_578_type,type,
g_s595_578: set_0 ).
tff(g_s596_1_600_type,type,
g_s596_1_600: set_2 ).
tff(g_s596_579_type,type,
g_s596_579: set_2 ).
tff(g_s597_1_601_type,type,
g_s597_1_601: set_2 ).
tff(g_s597_580_type,type,
g_s597_580: set_2 ).
tff(g_s598_1_602_type,type,
g_s598_1_602: set_2 ).
tff(g_s598_581_type,type,
g_s598_581: set_2 ).
tff(g_s599_1_603_type,type,
g_s599_1_603: set_2 ).
tff(g_s599_582_type,type,
g_s599_582: set_2 ).
tff(g_s59_59_type,type,
g_s59_59: $int ).
tff(g_s5_5_type,type,
g_s5_5: set_0 ).
tff(g_s600_1_604_type,type,
g_s600_1_604: set_2 ).
tff(g_s600_583_type,type,
g_s600_583: set_2 ).
tff(g_s601_1_605_type,type,
g_s601_1_605: set_2 ).
tff(g_s601_584_type,type,
g_s601_584: set_2 ).
tff(g_s602_1_606_type,type,
g_s602_1_606: set_2 ).
tff(g_s602_585_type,type,
g_s602_585: set_2 ).
tff(g_s603_1_607_type,type,
g_s603_1_607: set_2 ).
tff(g_s603_586_type,type,
g_s603_586: set_2 ).
tff(g_s604_1_608_type,type,
g_s604_1_608: set_2 ).
tff(g_s604_587_type,type,
g_s604_587: set_2 ).
tff(g_s605_1_609_type,type,
g_s605_1_609: set_2 ).
tff(g_s605_588_type,type,
g_s605_588: set_2 ).
tff(g_s606_1_610_type,type,
g_s606_1_610: set_2 ).
tff(g_s606_589_type,type,
g_s606_589: set_2 ).
tff(g_s607_1_611_type,type,
g_s607_1_611: set_2 ).
tff(g_s607_590_type,type,
g_s607_590: set_2 ).
tff(g_s608_1_612_type,type,
g_s608_1_612: set_0 ).
tff(g_s608_591_type,type,
g_s608_591: set_0 ).
tff(g_s609_1_613_type,type,
g_s609_1_613: set_2 ).
tff(g_s609_592_type,type,
g_s609_592: set_2 ).
tff(g_s60_60_type,type,
g_s60_60: $int ).
tff(g_s610_1_614_type,type,
g_s610_1_614: set_2 ).
tff(g_s610_593_type,type,
g_s610_593: set_2 ).
tff(g_s611_1_615_type,type,
g_s611_1_615: set_0 ).
tff(g_s611_594_type,type,
g_s611_594: set_0 ).
tff(g_s612_1_617_type,type,
g_s612_1_617: set_0 ).
tff(g_s612_595_type,type,
g_s612_595: set_0 ).
tff(g_s613_1_618_type,type,
g_s613_1_618: set_0 ).
tff(g_s613_596_type,type,
g_s613_596: set_0 ).
tff(g_s614_1_616_type,type,
g_s614_1_616: set_2 ).
tff(g_s614_597_type,type,
g_s614_597: set_2 ).
tff(g_s615_598_type,type,
g_s615_598: set_0 ).
tff(g_s616_599_type,type,
g_s616_599: set_0 ).
tff(g_s617_1_619_type,type,
g_s617_1_619: set_2 ).
tff(g_s618_1_620_type,type,
g_s618_1_620: set_2 ).
tff(g_s619_1_621_type,type,
g_s619_1_621: set_2 ).
tff(g_s61_61_type,type,
g_s61_61: $int ).
tff(g_s620_1_622_type,type,
g_s620_1_622: set_2 ).
tff(g_s621_1_623_type,type,
g_s621_1_623: set_0 ).
tff(g_s622_1_624_type,type,
g_s622_1_624: set_0 ).
tff(g_s623_1_625_type,type,
g_s623_1_625: set_0 ).
tff(g_s624_1_626_type,type,
g_s624_1_626: set_2 ).
tff(g_s628_627_type,type,
g_s628_627: $int ).
tff(g_s62_62_type,type,
g_s62_62: $int ).
tff(g_s63_63_type,type,
g_s63_63: $int ).
tff(g_s64_64_type,type,
g_s64_64: $int ).
tff(g_s65_65_type,type,
g_s65_65: $int ).
tff(g_s66_66_type,type,
g_s66_66: set_0 ).
tff(g_s67_67_type,type,
g_s67_67: $int ).
tff(g_s681_1_645_type,type,
g_s681_1_645: $int ).
tff(g_s681_2_646_type,type,
g_s681_2_646: $int ).
tff(g_s681_644_type,type,
g_s681_644: $int ).
tff(g_s68_68_type,type,
g_s68_68: $int ).
tff(g_s69_69_type,type,
g_s69_69: $int ).
tff(g_s6_6_type,type,
g_s6_6: set_0 ).
tff(g_s70_70_type,type,
g_s70_70: set_0 ).
tff(g_s714_1_667_type,type,
g_s714_1_667: $o ).
tff(g_s714_666_type,type,
g_s714_666: $o ).
tff(g_s71_71_type,type,
g_s71_71: $int ).
tff(g_s72_72_type,type,
g_s72_72: $int ).
tff(g_s73_73_type,type,
g_s73_73: $int ).
tff(g_s74_74_type,type,
g_s74_74: set_0 ).
tff(g_s75_75_type,type,
g_s75_75: $int ).
tff(g_s76_76_type,type,
g_s76_76: $int ).
tff(g_s77_77_type,type,
g_s77_77: $int ).
tff(g_s78_78_type,type,
g_s78_78: set_0 ).
tff(g_s79_79_type,type,
g_s79_79: $int ).
tff(g_s7_7_type,type,
g_s7_7: set_0 ).
tff(g_s80_80_type,type,
g_s80_80: $int ).
tff(g_s81_81_type,type,
g_s81_81: set_0 ).
tff(g_s82_82_type,type,
g_s82_82: $int ).
tff(g_s83_83_type,type,
g_s83_83: $int ).
tff(g_s84_84_type,type,
g_s84_84: set_0 ).
tff(g_s85_85_type,type,
g_s85_85: $int ).
tff(g_s86_86_type,type,
g_s86_86: $int ).
tff(g_s87_87_type,type,
g_s87_87: $int ).
tff(g_s88_88_type,type,
g_s88_88: set_0 ).
tff(g_s89_89_type,type,
g_s89_89: $int ).
tff(g_s8_8_type,type,
g_s8_8: set_0 ).
tff(g_s90_90_type,type,
g_s90_90: $int ).
tff(g_s91_91_type,type,
g_s91_91: set_0 ).
tff(g_s92_92_type,type,
g_s92_92: $int ).
tff(g_s93_93_type,type,
g_s93_93: $int ).
tff(g_s94_94_type,type,
g_s94_94: $int ).
tff(g_s95_95_type,type,
g_s95_95: set_0 ).
tff(g_s96_96_type,type,
g_s96_96: set_0 ).
tff(g_s97_97_type,type,
g_s97_97: set_0 ).
tff(g_s98_98_type,type,
g_s98_98: set_0 ).
tff(g_s99_99_type,type,
g_s99_99: $int ).
tff(g_s9_9_type,type,
g_s9_9: set_0 ).
tff(mem10_type,type,
mem10: ( $int * $o * $int * $o * set_10 ) > $o ).
tff(mem2_type,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(mem3_type,type,
mem3: ( $int * $int * $int * set_3 ) > $o ).
tff(mem4_type,type,
mem4: ( $o * $int * set_4 ) > $o ).
tff(mem5_type,type,
mem5: ( $int * $int * set_0 * set_5 ) > $o ).
tff(mem6_type,type,
mem6: ( $int * set_0 * set_6 ) > $o ).
tff(mem7_type,type,
mem7: ( $int * set_2 * set_7 ) > $o ).
tff(mem8_type,type,
mem8: ( $int * $int * $int * set_8 ) > $o ).
tff(mem9_type,type,
mem9: ( $int * $int * $int * $int * set_9 ) > $o ).
tff(mem_it0_type,type,
mem_it0: ( $int * $int * set_2 * $int ) > $o ).
tff(mem_it0_axiom_1,axiom,
! [F: set_2,X_1880: $int,X_1881: $int] :
( mem_it0(X_1880,X_1881,F,0)
=> ( ( X_1880 = X_1881 )
& ? [Z: $int] : mem2(Z,X_1881,F) ) ) ).
tff(mem_it0_axiom_2,axiom,
! [F: set_2,X: $int] :
? [Y: $int] :
( mem2(X,Y,F)
=> mem_it0(X,Y,F,0) ) ).
tff(mem_it0_axiom_3,axiom,
! [F: set_2,N: $int,X: $int,Y: $int] :
( $greatereq(N,1)
=> ( mem_it0(X,Y,F,N)
=> ? [Z: $int] :
( mem_it0(X,Y,F,$difference(N,1))
& mem2(Z,Y,F) ) ) ) ).
tff(mem_it0_axiom_4,axiom,
! [F: set_2,N: $int,X: $int,Y: $int] :
( $greatereq(N,1)
=> ? [Z: $int] :
( ( mem_it0(X,Y,F,$difference(N,1))
& mem2(Z,Y,F) )
=> mem_it0(X,Y,F,N) ) ) ).
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: ( prod_0 * $int ) > prod_1 ).
tff(prod_1_in,type,
prod_1_in: ( prod_0 * $int * 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: ( $int * $o ) > prod_10 ).
tff(prod_10_in,type,
prod_10_in: ( $int * $o * prod_10 ) > $o ).
tff(prod_2_type,type,
prod_2: $tType ).
tff(prod_2_empty,type,
prod_2_empty: prod_2 ).
tff(prod_2_insert,type,
prod_2: ( $o * $int ) > prod_2 ).
tff(prod_2_in,type,
prod_2_in: ( $o * $int * 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 * set_0 ) > prod_3 ).
tff(prod_3_in,type,
prod_3_in: ( prod_0 * set_0 * 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: ( $int * set_0 ) > prod_4 ).
tff(prod_4_in,type,
prod_4_in: ( $int * set_0 * 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: ( $int * set_2 ) > prod_5 ).
tff(prod_5_in,type,
prod_5_in: ( $int * set_2 * prod_5 ) > $o ).
tff(prod_6_type,type,
prod_6: $tType ).
tff(prod_6_empty,type,
prod_6_empty: prod_6 ).
tff(prod_6_insert,type,
prod_6: ( $int * prod_0 ) > prod_6 ).
tff(prod_6_in,type,
prod_6_in: ( $int * prod_0 * 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_1 * $int ) > prod_7 ).
tff(prod_7_in,type,
prod_7_in: ( prod_1 * $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 * $o ) > prod_8 ).
tff(prod_8_in,type,
prod_8_in: ( prod_9 * $o * 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 * $int ) > prod_9 ).
tff(prod_9_in,type,
prod_9_in: ( prod_10 * $int * 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_8 > set_10 ).
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: prod_1 > 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_2 > 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_3 > 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_4 > 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_5 > 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_6 > 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_7 > 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,
( ! [X_2990: $int,X_2991: $int] :
( mem2(X_2991,X_2990,g_s596_579)
=> ( mem0(X_2991,g_s231_227)
& mem0(X_2990,g_s201_197) ) )
& ! [X_2992: $int,X_2993: $int,X_2994: $int] :
( ( mem2(X_2992,X_2993,g_s596_579)
& mem2(X_2992,X_2994,g_s596_579) )
=> ( X_2993 = X_2994 ) ) ) ).
tff('Define:abs:1',axiom,
( ! [X_2995: $int,X_2996: $int] :
( mem2(X_2996,X_2995,g_s597_580)
=> ( mem0(X_2996,g_s231_227)
& mem0(X_2995,g_s201_197) ) )
& ! [X_2997: $int,X_2998: $int,X_2999: $int] :
( ( mem2(X_2997,X_2998,g_s597_580)
& mem2(X_2997,X_2999,g_s597_580) )
=> ( X_2998 = X_2999 ) ) ) ).
tff('Define:abs:10',axiom,
( ! [X_3040: $int,X_3041: $int] :
( mem2(X_3041,X_3040,g_s606_589)
=> ( mem0(X_3041,g_s231_227)
& mem0(X_3040,g_s167_163) ) )
& ! [X_3042: $int,X_3043: $int,X_3044: $int] :
( ( mem2(X_3042,X_3043,g_s606_589)
& mem2(X_3042,X_3044,g_s606_589) )
=> ( X_3043 = X_3044 ) ) ) ).
tff('Define:abs:11',axiom,
( ! [X_3045: $int,X_3046: $int] :
( mem2(X_3046,X_3045,g_s607_590)
=> ( mem0(X_3046,g_s231_227)
& mem0(X_3045,g_s213_209) ) )
& ! [X_3047: $int,X_3048: $int,X_3049: $int] :
( ( mem2(X_3047,X_3048,g_s607_590)
& mem2(X_3047,X_3049,g_s607_590) )
=> ( X_3048 = X_3049 ) ) ) ).
tff('Define:abs:12',axiom,
! [X_3050: $int] :
( mem0(X_3050,g_s608_591)
=> mem0(X_3050,g_s231_227) ) ).
tff('Define:abs:13',axiom,
! [X_3051: $int,X_3052: $int] :
( mem2(X_3052,X_3051,g_s609_592)
=> ( mem0(X_3052,g_s190_186)
& mem0(X_3051,g_s213_209) ) ) ).
tff('Define:abs:14',axiom,
( ! [X_3053: $int,X_3054: $int] :
( mem2(X_3054,X_3053,g_s610_593)
=> ( mem0(X_3054,g_s231_227)
& mem0(X_3053,g_s190_186) ) )
& ! [X_3055: $int,X_3056: $int,X_3057: $int] :
( ( mem2(X_3055,X_3056,g_s610_593)
& mem2(X_3055,X_3057,g_s610_593) )
=> ( X_3056 = X_3057 ) ) ) ).
tff('Define:abs:15',axiom,
! [X_3058: $int] :
( ? [X_3059: $int] : mem2(X_3058,X_3059,g_s602_585)
<=> ? [X_3060: $int] : mem2(X_3058,X_3060,g_s604_587) ) ).
tff('Define:abs:16',axiom,
! [X_3061: $int] :
( ? [X_3062: $int] : mem2(X_3061,X_3062,g_s603_586)
<=> ? [X_3063: $int] : mem2(X_3061,X_3063,g_s604_587) ) ).
tff('Define:abs:17',axiom,
! [X_3064: $int] :
( ? [X_3065: $int] : mem2(X_3064,X_3065,g_s607_590)
<=> ? [X_3066: $int] : mem2(X_3064,X_3066,g_s604_587) ) ).
tff('Define:abs:18',axiom,
! [X_3067: $int] :
( mem0(X_3067,g_s608_591)
=> ? [X_3068: $int] : mem2(X_3067,X_3068,g_s602_585) ) ).
tff('Define:abs:19',axiom,
! [X_3069: $int] :
( ? [X_3070: $int] : mem2(X_3069,X_3070,g_s605_588)
=> ? [X_3071: $int] : mem2(X_3069,X_3071,g_s604_587) ) ).
tff('Define:abs:2',axiom,
( ! [X_3000: $int,X_3001: $int] :
( mem2(X_3001,X_3000,g_s598_581)
=> ( mem0(X_3001,g_s231_227)
& mem0(X_3000,g_s231_227) ) )
& ! [X_3002: $int,X_3003: $int,X_3004: $int] :
( ( mem2(X_3002,X_3003,g_s598_581)
& mem2(X_3002,X_3004,g_s598_581) )
=> ( X_3003 = X_3004 ) ) ) ).
tff('Define:abs:20',axiom,
! [X_3072: $int] :
( ? [X_3073: $int] : mem2(X_3072,X_3073,g_s606_589)
=> ? [X_3074: $int] : mem2(X_3072,X_3074,g_s604_587) ) ).
tff('Define:abs:21',axiom,
! [X_3075: $int] :
( mem0(X_3075,g_s611_594)
=> mem0(X_3075,g_s222_218) ) ).
tff('Define:abs:22',axiom,
! [X_3076: $int] :
( mem0(X_3076,g_s612_595)
=> mem0(X_3076,g_s222_218) ) ).
tff('Define:abs:23',axiom,
! [X_3077: $int] :
( mem0(X_3077,g_s613_596)
=> mem0(X_3077,g_s231_227) ) ).
tff('Define:abs:24',axiom,
( ! [X_3078: $int,X_3079: $int] :
( mem2(X_3079,X_3078,g_s614_597)
=> ( mem0(X_3079,g_s222_218)
& mem0(X_3078,g_s231_227) ) )
& ! [X_3080: $int,X_3081: $int,X_3082: $int] :
( ( mem2(X_3080,X_3081,g_s614_597)
& mem2(X_3080,X_3082,g_s614_597) )
=> ( X_3081 = X_3082 ) ) ) ).
tff('Define:abs:25',axiom,
! [X_3083: $int] :
( mem0(X_3083,g_s615_598)
=> mem0(X_3083,g_s231_227) ) ).
tff('Define:abs:26',axiom,
! [X_3084: $int] :
( mem0(X_3084,g_s616_599)
=> mem0(X_3084,g_s222_218) ) ).
tff('Define:abs:3',axiom,
( ! [X_3005: $int,X_3006: $int] :
( mem2(X_3006,X_3005,g_s599_582)
=> ( mem0(X_3006,g_s231_227)
& mem0(X_3005,g_s201_197) ) )
& ! [X_3007: $int,X_3008: $int,X_3009: $int] :
( ( mem2(X_3007,X_3008,g_s599_582)
& mem2(X_3007,X_3009,g_s599_582) )
=> ( X_3008 = X_3009 ) ) ) ).
tff('Define:abs:4',axiom,
( ! [X_3010: $int,X_3011: $int] :
( mem2(X_3011,X_3010,g_s600_583)
=> ( mem0(X_3011,g_s231_227)
& mem0(X_3010,g_s201_197) ) )
& ! [X_3012: $int,X_3013: $int,X_3014: $int] :
( ( mem2(X_3012,X_3013,g_s600_583)
& mem2(X_3012,X_3014,g_s600_583) )
=> ( X_3013 = X_3014 ) ) ) ).
tff('Define:abs:5',axiom,
( ! [X_3015: $int,X_3016: $int] :
( mem2(X_3016,X_3015,g_s601_584)
=> ( mem0(X_3016,g_s231_227)
& mem0(X_3015,g_s201_197) ) )
& ! [X_3017: $int,X_3018: $int,X_3019: $int] :
( ( mem2(X_3017,X_3018,g_s601_584)
& mem2(X_3017,X_3019,g_s601_584) )
=> ( X_3018 = X_3019 ) ) ) ).
tff('Define:abs:6',axiom,
( ! [X_3020: $int,X_3021: $int] :
( mem2(X_3021,X_3020,g_s602_585)
=> ( mem0(X_3021,g_s231_227)
& mem0(X_3020,g_s210_206) ) )
& ! [X_3022: $int,X_3023: $int,X_3024: $int] :
( ( mem2(X_3022,X_3023,g_s602_585)
& mem2(X_3022,X_3024,g_s602_585) )
=> ( X_3023 = X_3024 ) ) ) ).
tff('Define:abs:7',axiom,
( ! [X_3025: $int,X_3026: $int] :
( mem2(X_3026,X_3025,g_s603_586)
=> ( mem0(X_3026,g_s231_227)
& mem0(X_3025,g_s167_163) ) )
& ! [X_3027: $int,X_3028: $int,X_3029: $int] :
( ( mem2(X_3027,X_3028,g_s603_586)
& mem2(X_3027,X_3029,g_s603_586) )
=> ( X_3028 = X_3029 ) ) ) ).
tff('Define:abs:8',axiom,
( ! [X_3030: $int,X_3031: $int] :
( mem2(X_3031,X_3030,g_s604_587)
=> ( mem0(X_3031,g_s231_227)
& mem0(X_3030,g_s196_192) ) )
& ! [X_3032: $int,X_3033: $int,X_3034: $int] :
( ( mem2(X_3032,X_3033,g_s604_587)
& mem2(X_3032,X_3034,g_s604_587) )
=> ( X_3033 = X_3034 ) ) ) ).
tff('Define:abs:9',axiom,
( ! [X_3035: $int,X_3036: $int] :
( mem2(X_3036,X_3035,g_s605_588)
=> ( mem0(X_3036,g_s231_227)
& mem0(X_3035,g_s210_206) ) )
& ! [X_3037: $int,X_3038: $int,X_3039: $int] :
( ( mem2(X_3037,X_3038,g_s605_588)
& mem2(X_3037,X_3039,g_s605_588) )
=> ( X_3038 = X_3039 ) ) ) ).
tff('Define:ctx:0',axiom,
( ~ ! [X_5: $int] :
( mem0(X_5,g_s0_0)
<=> $false )
& ! [X_8: $int] :
( mem0(X_8,g_s0_0)
=> $true )
& ? [X_6: $int,X_7: set_2] :
( ? [X_9: set_2] :
( ! [X_10: $int,X_11: $int] :
( mem2(X_11,X_10,X_9)
<=> mem2(X_11,X_10,X_7) )
& ! [X_12: $int,X_13: $int,X_14: $int] :
( ( mem2(X_12,X_13,X_9)
& mem2(X_12,X_14,X_9) )
=> ( X_13 = X_14 ) )
& ! [X_15: $int] :
( ( $greatereq(X_15,1)
& $lesseq(X_15,X_6) )
<=> ? [X_16: $int] : mem2(X_15,X_16,X_9) )
& ! [X_17: $int] :
( ? [X_18: $int] : mem2(X_18,X_17,X_9)
=> mem0(X_17,g_s0_0) ) )
& ! [X_19: $int] :
( mem0(X_19,g_s0_0)
=> ? [X_20: $int] : mem2(X_20,X_19,X_7) )
& ! [X_21: $int,X_22: $int,X_23: $int] :
( ( mem2(X_22,X_21,X_7)
& mem2(X_23,X_21,X_7) )
=> ( X_22 = X_23 ) ) ) ) ).
tff('Define:ctx:1',axiom,
( ~ ! [X_24: $int] :
( mem0(X_24,g_s1_1)
<=> $false )
& ! [X_27: $int] :
( mem0(X_27,g_s1_1)
=> $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_s1_1) ) )
& ! [X_38: $int] :
( mem0(X_38,g_s1_1)
=> ? [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:10',axiom,
( ~ ! [X_195: $int] :
( mem0(X_195,g_s10_10)
<=> $false )
& ! [X_198: $int] :
( mem0(X_198,g_s10_10)
=> $true )
& ? [X_196: $int,X_197: set_2] :
( ? [X_199: set_2] :
( ! [X_200: $int,X_201: $int] :
( mem2(X_201,X_200,X_199)
<=> mem2(X_201,X_200,X_197) )
& ! [X_202: $int,X_203: $int,X_204: $int] :
( ( mem2(X_202,X_203,X_199)
& mem2(X_202,X_204,X_199) )
=> ( X_203 = X_204 ) )
& ! [X_205: $int] :
( ( $greatereq(X_205,1)
& $lesseq(X_205,X_196) )
<=> ? [X_206: $int] : mem2(X_205,X_206,X_199) )
& ! [X_207: $int] :
( ? [X_208: $int] : mem2(X_208,X_207,X_199)
=> mem0(X_207,g_s10_10) ) )
& ! [X_209: $int] :
( mem0(X_209,g_s10_10)
=> ? [X_210: $int] : mem2(X_210,X_209,X_197) )
& ! [X_211: $int,X_212: $int,X_213: $int] :
( ( mem2(X_212,X_211,X_197)
& mem2(X_213,X_211,X_197) )
=> ( X_212 = X_213 ) ) ) ) ).
tff('Define:ctx:100',axiom,
! [X_762: $int] :
( mem0(X_762,g_s166_162)
=> ( $greatereq(X_762,min_int)
& $lesseq(X_762,max_int) ) ) ).
tff('Define:ctx:101',axiom,
! [X_763: $int] :
( mem0(X_763,g_s167_163)
=> ( $greatereq(X_763,0)
& $lesseq(X_763,max_int) ) ) ).
tff('Define:ctx:102',axiom,
! [X_764: $int] :
( mem0(X_764,g_s167_163)
=> mem0(X_764,g_s166_162) ) ).
tff('Define:ctx:103',axiom,
mem0(g_s168_164,g_s166_162) ).
tff('Define:ctx:104',axiom,
~ mem0(g_s168_164,g_s167_163) ).
tff('Define:ctx:105',axiom,
! [X_765: $int] :
( mem0(X_765,g_s169_165)
<=> $true ) ).
tff('Define:ctx:106',axiom,
! [X_766: $int] :
( mem0(X_766,g_s170_166)
=> $true ) ).
tff('Define:ctx:107',axiom,
! [X_767: $int] :
( mem0(X_767,g_s170_166)
=> mem0(X_767,g_s169_165) ) ).
tff('Define:ctx:108',axiom,
mem0(g_s171_167,g_s169_165) ).
tff('Define:ctx:109',axiom,
~ mem0(g_s171_167,g_s170_166) ).
tff('Define:ctx:11',axiom,
( ~ ! [X_214: $int] :
( mem0(X_214,g_s11_11)
<=> $false )
& ! [X_217: $int] :
( mem0(X_217,g_s11_11)
=> $true )
& ? [X_215: $int,X_216: set_2] :
( ? [X_218: set_2] :
( ! [X_219: $int,X_220: $int] :
( mem2(X_220,X_219,X_218)
<=> mem2(X_220,X_219,X_216) )
& ! [X_221: $int,X_222: $int,X_223: $int] :
( ( mem2(X_221,X_222,X_218)
& mem2(X_221,X_223,X_218) )
=> ( X_222 = X_223 ) )
& ! [X_224: $int] :
( ( $greatereq(X_224,1)
& $lesseq(X_224,X_215) )
<=> ? [X_225: $int] : mem2(X_224,X_225,X_218) )
& ! [X_226: $int] :
( ? [X_227: $int] : mem2(X_227,X_226,X_218)
=> mem0(X_226,g_s11_11) ) )
& ! [X_228: $int] :
( mem0(X_228,g_s11_11)
=> ? [X_229: $int] : mem2(X_229,X_228,X_216) )
& ! [X_230: $int,X_231: $int,X_232: $int] :
( ( mem2(X_231,X_230,X_216)
& mem2(X_232,X_230,X_216) )
=> ( X_231 = X_232 ) ) ) ) ).
tff('Define:ctx:110',axiom,
! [X_768: $int] :
( mem0(X_768,g_s172_168)
=> ( $greatereq(X_768,min_int)
& $lesseq(X_768,max_int) ) ) ).
tff('Define:ctx:111',axiom,
! [X_769: $int] :
( mem0(X_769,g_s173_169)
=> ( $greatereq(X_769,0)
& $lesseq(X_769,max_int) ) ) ).
tff('Define:ctx:112',axiom,
! [X_770: $int] :
( ( X_770 = 0 )
=> mem0(X_770,g_s173_169) ) ).
tff('Define:ctx:113',axiom,
! [X_771: $int] :
( mem0(X_771,g_s173_169)
=> mem0(X_771,g_s172_168) ) ).
tff('Define:ctx:114',axiom,
mem0(g_s174_170,g_s172_168) ).
tff('Define:ctx:115',axiom,
~ mem0(g_s174_170,g_s173_169) ).
tff('Define:ctx:116',axiom,
! [X_772: $int] :
( mem0(X_772,g_s175_171)
<=> $true ) ).
tff('Define:ctx:117',axiom,
! [X_773: $int] :
( mem0(X_773,g_s176_172)
<=> $greatereq(X_773,0) ) ).
tff('Define:ctx:118',axiom,
! [X_774: $int] :
( mem0(X_774,g_s176_172)
=> mem0(X_774,g_s175_171) ) ).
tff('Define:ctx:119',axiom,
mem0(g_s177_173,g_s176_172) ).
tff('Define:ctx:12',axiom,
( ! [X_233: $int] :
( mem0(X_233,g_s12_12)
<=> ( ( X_233 = g_s13_13 )
| ( X_233 = g_s14_14 ) ) )
& ( g_s13_13 != g_s14_14 ) ) ).
tff('Define:ctx:120',axiom,
mem0(g_s178_174,g_s176_172) ).
tff('Define:ctx:121',axiom,
mem0(g_s179_175,g_s175_171) ).
tff('Define:ctx:122',axiom,
~ mem0(g_s179_175,g_s176_172) ).
tff('Define:ctx:123',axiom,
$lesseq(g_s177_173,g_s178_174) ).
tff('Define:ctx:124',axiom,
! [X_775: $int] :
( mem0(X_775,g_s180_176)
<=> $true ) ).
tff('Define:ctx:125',axiom,
! [X_776: $int] :
( mem0(X_776,g_s181_177)
<=> $greatereq(X_776,0) ) ).
tff('Define:ctx:126',axiom,
! [X_777: $int] :
( mem0(X_777,g_s181_177)
=> mem0(X_777,g_s180_176) ) ).
tff('Define:ctx:127',axiom,
mem0(g_s182_178,g_s181_177) ).
tff('Define:ctx:128',axiom,
mem0(g_s183_179,g_s181_177) ).
tff('Define:ctx:129',axiom,
mem0(g_s184_180,g_s180_176) ).
tff('Define:ctx:13',axiom,
( ! [X_234: $int] :
( mem0(X_234,g_s15_15)
<=> ( ( X_234 = g_s16_16 )
| ( X_234 = g_s17_17 )
| ( X_234 = g_s18_18 )
| ( X_234 = g_s19_19 )
| ( X_234 = g_s20_20 ) ) )
& ( g_s16_16 != g_s17_17 )
& ( g_s17_17 != g_s18_18 )
& ( g_s18_18 != g_s19_19 )
& ( g_s19_19 != g_s20_20 ) ) ).
tff('Define:ctx:130',axiom,
~ mem0(g_s184_180,g_s181_177) ).
tff('Define:ctx:131',axiom,
$lesseq(g_s182_178,g_s183_179) ).
tff('Define:ctx:132',axiom,
? [X_778: set_2] :
( ! [X_779: $int,X_780: $int] :
( mem2(X_780,X_779,X_778)
<=> mem2(X_780,X_779,g_s185_181) )
& ! [X_781: $int,X_782: $int,X_783: $int] :
( ( mem2(X_781,X_782,X_778)
& mem2(X_781,X_783,X_778) )
=> ( X_782 = X_783 ) )
& ! [X_784: $int] :
( mem0(X_784,g_s172_168)
<=> ? [X_785: $int] : mem2(X_784,X_785,X_778) )
& ! [X_786: $int] :
( ? [X_787: $int] : mem2(X_787,X_786,X_778)
=> mem0(X_786,g_s166_162) ) ) ).
tff('Define:ctx:133',axiom,
mem2(g_s174_170,g_s168_164,g_s185_181) ).
tff('Define:ctx:134',axiom,
! [X_788: $int] :
( ? [X_789: $int] :
( mem0(X_789,g_s173_169)
& mem2(X_789,X_788,g_s185_181) )
=> mem0(X_788,g_s167_163) ) ).
tff('Define:ctx:135',axiom,
! [X_790: $int] :
( ? [X_791: $int] :
( mem0(X_791,g_s172_168)
& ~ mem0(X_791,g_s173_169)
& mem2(X_791,X_790,g_s185_181) )
=> ( mem0(X_790,g_s166_162)
& ~ mem0(X_790,g_s167_163) ) ) ).
tff('Define:ctx:136',axiom,
? [X_792: set_2] :
( ! [X_793: $int,X_794: $int] :
( mem2(X_794,X_793,X_792)
<=> mem2(X_794,X_793,g_s186_182) )
& ! [X_795: $int,X_796: $int,X_797: $int] :
( ( mem2(X_795,X_796,X_792)
& mem2(X_795,X_797,X_792) )
=> ( X_796 = X_797 ) )
& ! [X_798: $int] :
( mem0(X_798,g_s180_176)
<=> ? [X_799: $int] : mem2(X_798,X_799,X_792) )
& ! [X_800: $int] :
( ? [X_801: $int] : mem2(X_801,X_800,X_792)
=> mem0(X_800,g_s175_171) ) ) ).
tff('Define:ctx:137',axiom,
mem2(g_s184_180,g_s179_175,g_s186_182) ).
tff('Define:ctx:138',axiom,
! [X_802: $int] :
( ? [X_803: $int] :
( mem0(X_803,g_s181_177)
& mem2(X_803,X_802,g_s186_182) )
=> mem0(X_802,g_s176_172) ) ).
tff('Define:ctx:139',axiom,
! [X_804: $int] :
( ? [X_805: $int] :
( mem0(X_805,g_s180_176)
& ~ mem0(X_805,g_s181_177)
& mem2(X_805,X_804,g_s186_182) )
=> ( mem0(X_804,g_s175_171)
& ~ mem0(X_804,g_s176_172) ) ) ).
tff('Define:ctx:14',axiom,
( ! [X_235: $int] :
( mem0(X_235,g_s21_21)
<=> ( ( X_235 = g_s22_22 )
| ( X_235 = g_s23_23 )
| ( X_235 = g_s24_24 )
| ( X_235 = g_s25_25 ) ) )
& ( g_s22_22 != g_s23_23 )
& ( g_s23_23 != g_s24_24 )
& ( g_s24_24 != g_s25_25 ) ) ).
tff('Define:ctx:140',axiom,
! [X_806: $int] :
( mem0(X_806,g_s187_183)
=> mem0(X_806,g_s95_95) ) ).
tff('Define:ctx:141',axiom,
mem0(g_s188_184,g_s95_95) ).
tff('Define:ctx:142',axiom,
~ mem0(g_s188_184,g_s187_183) ).
tff('Define:ctx:143',axiom,
( ! [X_807: $int,X_808: $int] :
( mem2(X_808,X_807,g_s189_185)
=> ( $greatereq(X_808,0)
& $lesseq(X_808,max_int)
& mem0(X_807,g_s95_95) ) )
& ! [X_809: $int,X_810: $int,X_811: $int] :
( ( mem2(X_809,X_810,g_s189_185)
& mem2(X_809,X_811,g_s189_185) )
=> ( X_810 = X_811 ) ) ) ).
tff('Define:ctx:144',axiom,
? [X_812: $int] :
( ? [X_813: set_2] :
( ! [X_814: $int,X_815: $int] :
( mem2(X_815,X_814,X_813)
<=> mem2(X_815,X_814,g_s189_185) )
& ! [X_816: $int,X_817: $int,X_818: $int] :
( ( mem2(X_816,X_817,X_813)
& mem2(X_816,X_818,X_813) )
=> ( X_817 = X_818 ) )
& ! [X_819: $int] :
( ( $greatereq(X_819,1)
& $lesseq(X_819,X_812) )
<=> ? [X_820: $int] : mem2(X_819,X_820,X_813) )
& ! [X_821: $int] :
( ? [X_822: $int] : mem2(X_822,X_821,X_813)
=> mem0(X_821,g_s187_183) ) )
& ! [X_823: $int] :
( mem0(X_823,g_s187_183)
=> ? [X_824: $int] : mem2(X_824,X_823,g_s189_185) )
& ! [X_825: $int,X_826: $int,X_827: $int] :
( ( mem2(X_826,X_825,g_s189_185)
& mem2(X_827,X_825,g_s189_185) )
=> ( X_826 = X_827 ) ) ) ).
tff('Define:ctx:145',axiom,
! [X_828: $int] :
( mem0(X_828,g_s190_186)
=> mem0(X_828,g_s96_96) ) ).
tff('Define:ctx:146',axiom,
mem0(g_s191_187,g_s96_96) ).
tff('Define:ctx:147',axiom,
~ mem0(g_s191_187,g_s190_186) ).
tff('Define:ctx:148',axiom,
( ! [X_829: $int,X_830: $int] :
( mem2(X_830,X_829,g_s192_188)
=> ( $greatereq(X_830,0)
& $lesseq(X_830,max_int)
& mem0(X_829,g_s96_96) ) )
& ! [X_831: $int,X_832: $int,X_833: $int] :
( ( mem2(X_831,X_832,g_s192_188)
& mem2(X_831,X_833,g_s192_188) )
=> ( X_832 = X_833 ) ) ) ).
tff('Define:ctx:149',axiom,
? [X_834: $int] :
( ? [X_835: set_2] :
( ! [X_836: $int,X_837: $int] :
( mem2(X_837,X_836,X_835)
<=> mem2(X_837,X_836,g_s192_188) )
& ! [X_838: $int,X_839: $int,X_840: $int] :
( ( mem2(X_838,X_839,X_835)
& mem2(X_838,X_840,X_835) )
=> ( X_839 = X_840 ) )
& ! [X_841: $int] :
( ( $greatereq(X_841,1)
& $lesseq(X_841,X_834) )
<=> ? [X_842: $int] : mem2(X_841,X_842,X_835) )
& ! [X_843: $int] :
( ? [X_844: $int] : mem2(X_844,X_843,X_835)
=> mem0(X_843,g_s190_186) ) )
& ! [X_845: $int] :
( mem0(X_845,g_s190_186)
=> ? [X_846: $int] : mem2(X_846,X_845,g_s192_188) )
& ! [X_847: $int,X_848: $int,X_849: $int] :
( ( mem2(X_848,X_847,g_s192_188)
& mem2(X_849,X_847,g_s192_188) )
=> ( X_848 = X_849 ) ) ) ).
tff('Define:ctx:15',axiom,
( ! [X_236: $int] :
( mem0(X_236,g_s26_26)
<=> ( ( X_236 = g_s27_27 )
| ( X_236 = g_s28_28 )
| ( X_236 = g_s29_29 ) ) )
& ( g_s27_27 != g_s28_28 )
& ( g_s28_28 != g_s29_29 ) ) ).
tff('Define:ctx:150',axiom,
! [X_850: $int] :
( mem0(X_850,g_s193_189)
=> mem0(X_850,g_s97_97) ) ).
tff('Define:ctx:151',axiom,
mem0(g_s194_190,g_s97_97) ).
tff('Define:ctx:152',axiom,
~ mem0(g_s194_190,g_s193_189) ).
tff('Define:ctx:153',axiom,
( ! [X_851: $int,X_852: $int] :
( mem2(X_852,X_851,g_s195_191)
=> ( $greatereq(X_852,0)
& $lesseq(X_852,max_int)
& mem0(X_851,g_s97_97) ) )
& ! [X_853: $int,X_854: $int,X_855: $int] :
( ( mem2(X_853,X_854,g_s195_191)
& mem2(X_853,X_855,g_s195_191) )
=> ( X_854 = X_855 ) ) ) ).
tff('Define:ctx:154',axiom,
? [X_856: $int] :
( ? [X_857: set_2] :
( ! [X_858: $int,X_859: $int] :
( mem2(X_859,X_858,X_857)
<=> mem2(X_859,X_858,g_s195_191) )
& ! [X_860: $int,X_861: $int,X_862: $int] :
( ( mem2(X_860,X_861,X_857)
& mem2(X_860,X_862,X_857) )
=> ( X_861 = X_862 ) )
& ! [X_863: $int] :
( ( $greatereq(X_863,1)
& $lesseq(X_863,X_856) )
<=> ? [X_864: $int] : mem2(X_863,X_864,X_857) )
& ! [X_865: $int] :
( ? [X_866: $int] : mem2(X_866,X_865,X_857)
=> mem0(X_865,g_s193_189) ) )
& ! [X_867: $int] :
( mem0(X_867,g_s193_189)
=> ? [X_868: $int] : mem2(X_868,X_867,g_s195_191) )
& ! [X_869: $int,X_870: $int,X_871: $int] :
( ( mem2(X_870,X_869,g_s195_191)
& mem2(X_871,X_869,g_s195_191) )
=> ( X_870 = X_871 ) ) ) ).
tff('Define:ctx:155',axiom,
! [X_872: $int] :
( mem0(X_872,g_s196_192)
=> mem0(X_872,g_s98_98) ) ).
tff('Define:ctx:156',axiom,
~ mem0(g_s107_107,g_s196_192) ).
tff('Define:ctx:157',axiom,
! [X_873: $int] :
( mem0(X_873,g_s196_192)
<=> ( ( X_873 = g_s99_99 )
| ( X_873 = g_s100_100 )
| ( X_873 = g_s101_101 )
| ( X_873 = g_s102_102 )
| ( X_873 = g_s105_105 )
| ( X_873 = g_s103_103 )
| ( X_873 = g_s104_104 )
| ( X_873 = g_s106_106 ) ) ) ).
tff('Define:ctx:158',axiom,
( ? [X_874: set_2] :
( ! [X_875: $int,X_876: $int] :
( mem2(X_876,X_875,X_874)
<=> mem2(X_876,X_875,g_s197_193) )
& ! [X_877: $int,X_878: $int,X_879: $int] :
( ( mem2(X_877,X_878,X_874)
& mem2(X_877,X_879,X_874) )
=> ( X_878 = X_879 ) )
& ! [X_880: $int] :
( mem0(X_880,g_s196_192)
<=> ? [X_881: $int] : mem2(X_880,X_881,X_874) )
& ! [X_882: $int] :
( ? [X_883: $int] : mem2(X_883,X_882,X_874)
=> mem0(X_882,g_s57_57) ) )
& ! [X_884: $int,X_885: $int,X_886: $int] :
( ( mem2(X_885,X_884,g_s197_193)
& mem2(X_886,X_884,g_s197_193) )
=> ( X_885 = X_886 ) ) ) ).
tff('Define:ctx:159',axiom,
! [X_887: $int] :
( mem0(X_887,g_s198_194)
=> mem0(X_887,g_s108_108) ) ).
tff('Define:ctx:16',axiom,
( ! [X_237: $int] :
( mem0(X_237,g_s30_30)
<=> ( ( X_237 = g_s31_31 )
| ( X_237 = g_s32_32 )
| ( X_237 = g_s33_33 ) ) )
& ( g_s31_31 != g_s32_32 )
& ( g_s32_32 != g_s33_33 ) ) ).
tff('Define:ctx:160',axiom,
mem0(g_s199_195,g_s108_108) ).
tff('Define:ctx:161',axiom,
~ mem0(g_s199_195,g_s198_194) ).
tff('Define:ctx:162',axiom,
( ! [X_888: $int,X_889: $int] :
( mem2(X_889,X_888,g_s200_196)
=> ( $greatereq(X_889,0)
& $lesseq(X_889,max_int)
& mem0(X_888,g_s108_108) ) )
& ! [X_890: $int,X_891: $int,X_892: $int] :
( ( mem2(X_890,X_891,g_s200_196)
& mem2(X_890,X_892,g_s200_196) )
=> ( X_891 = X_892 ) ) ) ).
tff('Define:ctx:163',axiom,
? [X_893: $int] :
( ? [X_894: set_2] :
( ! [X_895: $int,X_896: $int] :
( mem2(X_896,X_895,X_894)
<=> mem2(X_896,X_895,g_s200_196) )
& ! [X_897: $int,X_898: $int,X_899: $int] :
( ( mem2(X_897,X_898,X_894)
& mem2(X_897,X_899,X_894) )
=> ( X_898 = X_899 ) )
& ! [X_900: $int] :
( ( $greatereq(X_900,1)
& $lesseq(X_900,X_893) )
<=> ? [X_901: $int] : mem2(X_900,X_901,X_894) )
& ! [X_902: $int] :
( ? [X_903: $int] : mem2(X_903,X_902,X_894)
=> mem0(X_902,g_s198_194) ) )
& ! [X_904: $int] :
( mem0(X_904,g_s198_194)
=> ? [X_905: $int] : mem2(X_905,X_904,g_s200_196) )
& ! [X_906: $int,X_907: $int,X_908: $int] :
( ( mem2(X_907,X_906,g_s200_196)
& mem2(X_908,X_906,g_s200_196) )
=> ( X_907 = X_908 ) ) ) ).
tff('Define:ctx:164',axiom,
! [X_909: $int] :
( mem0(X_909,g_s201_197)
=> mem0(X_909,g_s109_109) ) ).
tff('Define:ctx:165',axiom,
mem0(g_s202_198,g_s109_109) ).
tff('Define:ctx:166',axiom,
~ mem0(g_s202_198,g_s201_197) ).
tff('Define:ctx:167',axiom,
( ! [X_910: $int,X_911: $int] :
( mem2(X_911,X_910,g_s203_199)
=> ( $greatereq(X_911,0)
& $lesseq(X_911,max_int)
& mem0(X_910,g_s109_109) ) )
& ! [X_912: $int,X_913: $int,X_914: $int] :
( ( mem2(X_912,X_913,g_s203_199)
& mem2(X_912,X_914,g_s203_199) )
=> ( X_913 = X_914 ) ) ) ).
tff('Define:ctx:168',axiom,
? [X_915: $int] :
( ? [X_916: set_2] :
( ! [X_917: $int,X_918: $int] :
( mem2(X_918,X_917,X_916)
<=> mem2(X_918,X_917,g_s203_199) )
& ! [X_919: $int,X_920: $int,X_921: $int] :
( ( mem2(X_919,X_920,X_916)
& mem2(X_919,X_921,X_916) )
=> ( X_920 = X_921 ) )
& ! [X_922: $int] :
( ( $greatereq(X_922,1)
& $lesseq(X_922,X_915) )
<=> ? [X_923: $int] : mem2(X_922,X_923,X_916) )
& ! [X_924: $int] :
( ? [X_925: $int] : mem2(X_925,X_924,X_916)
=> mem0(X_924,g_s201_197) ) )
& ! [X_926: $int] :
( mem0(X_926,g_s201_197)
=> ? [X_927: $int] : mem2(X_927,X_926,g_s203_199) )
& ! [X_928: $int,X_929: $int,X_930: $int] :
( ( mem2(X_929,X_928,g_s203_199)
& mem2(X_930,X_928,g_s203_199) )
=> ( X_929 = X_930 ) ) ) ).
tff('Define:ctx:169',axiom,
! [X_931: $int] :
( mem0(X_931,g_s204_200)
=> mem0(X_931,g_s110_110) ) ).
tff('Define:ctx:17',axiom,
( ! [X_238: $int] :
( mem0(X_238,g_s34_34)
<=> ( ( X_238 = g_s35_35 )
| ( X_238 = g_s36_36 )
| ( X_238 = g_s37_37 ) ) )
& ( g_s35_35 != g_s36_36 )
& ( g_s36_36 != g_s37_37 ) ) ).
tff('Define:ctx:170',axiom,
mem0(g_s205_201,g_s110_110) ).
tff('Define:ctx:171',axiom,
~ mem0(g_s205_201,g_s204_200) ).
tff('Define:ctx:172',axiom,
( ! [X_932: $int,X_933: $int] :
( mem2(X_933,X_932,g_s206_202)
=> ( $greatereq(X_933,0)
& $lesseq(X_933,max_int)
& mem0(X_932,g_s110_110) ) )
& ! [X_934: $int,X_935: $int,X_936: $int] :
( ( mem2(X_934,X_935,g_s206_202)
& mem2(X_934,X_936,g_s206_202) )
=> ( X_935 = X_936 ) ) ) ).
tff('Define:ctx:173',axiom,
? [X_937: $int] :
( ? [X_938: set_2] :
( ! [X_939: $int,X_940: $int] :
( mem2(X_940,X_939,X_938)
<=> mem2(X_940,X_939,g_s206_202) )
& ! [X_941: $int,X_942: $int,X_943: $int] :
( ( mem2(X_941,X_942,X_938)
& mem2(X_941,X_943,X_938) )
=> ( X_942 = X_943 ) )
& ! [X_944: $int] :
( ( $greatereq(X_944,1)
& $lesseq(X_944,X_937) )
<=> ? [X_945: $int] : mem2(X_944,X_945,X_938) )
& ! [X_946: $int] :
( ? [X_947: $int] : mem2(X_947,X_946,X_938)
=> mem0(X_946,g_s204_200) ) )
& ! [X_948: $int] :
( mem0(X_948,g_s204_200)
=> ? [X_949: $int] : mem2(X_949,X_948,g_s206_202) )
& ! [X_950: $int,X_951: $int,X_952: $int] :
( ( mem2(X_951,X_950,g_s206_202)
& mem2(X_952,X_950,g_s206_202) )
=> ( X_951 = X_952 ) ) ) ).
tff('Define:ctx:174',axiom,
! [X_953: $int] :
( mem0(X_953,g_s207_203)
=> ( $greatereq(X_953,0)
& $lesseq(X_953,max_int) ) ) ).
tff('Define:ctx:175',axiom,
~ ! [X_954: $int] :
( mem0(X_954,g_s207_203)
<=> $false ) ).
tff('Define:ctx:176',axiom,
! [X_955: $int] :
( mem0(X_955,g_s207_203)
<=> ! [X_956: $int,X_957: $int] :
( ( mem0(X_956,g_s207_203)
& ! [X_958: $int] :
( mem0(X_958,g_s207_203)
=> $lesseq(X_956,X_958) )
& mem0(X_957,g_s207_203)
& ! [X_959: $int] :
( mem0(X_959,g_s207_203)
=> $greatereq(X_957,X_959) ) )
=> ( $greatereq(X_955,X_956)
& $lesseq(X_955,X_957) ) ) ) ).
tff('Define:ctx:177',axiom,
~ ! [X_960: $int] :
( ( X_960 = max_int )
=> mem0(X_960,g_s207_203) ) ).
tff('Define:ctx:178',axiom,
! [X_961: $int] :
( mem0(X_961,g_s208_204)
=> ( $greatereq(X_961,0)
& $lesseq(X_961,max_int) ) ) ).
tff('Define:ctx:179',axiom,
~ ! [X_962: $int] :
( mem0(X_962,g_s208_204)
<=> $false ) ).
tff('Define:ctx:18',axiom,
( ! [X_239: $int] :
( mem0(X_239,g_s38_38)
<=> ( ( X_239 = g_s39_39 )
| ( X_239 = g_s40_40 )
| ( X_239 = g_s41_41 )
| ( X_239 = g_s42_42 ) ) )
& ( g_s39_39 != g_s40_40 )
& ( g_s40_40 != g_s41_41 )
& ( g_s41_41 != g_s42_42 ) ) ).
tff('Define:ctx:180',axiom,
! [X_963: $int] :
( mem0(X_963,g_s208_204)
<=> ! [X_964: $int,X_965: $int] :
( ( mem0(X_964,g_s208_204)
& ! [X_966: $int] :
( mem0(X_966,g_s208_204)
=> $lesseq(X_964,X_966) )
& mem0(X_965,g_s208_204)
& ! [X_967: $int] :
( mem0(X_967,g_s208_204)
=> $greatereq(X_965,X_967) ) )
=> ( $greatereq(X_963,X_964)
& $lesseq(X_963,X_965) ) ) ) ).
tff('Define:ctx:181',axiom,
~ ! [X_968: $int] :
( ( X_968 = max_int )
=> mem0(X_968,g_s208_204) ) ).
tff('Define:ctx:182',axiom,
! [X_969: $int] :
( mem0(X_969,g_s209_205)
=> ( $greatereq(X_969,0)
& $lesseq(X_969,max_int) ) ) ).
tff('Define:ctx:183',axiom,
~ ! [X_970: $int] :
( mem0(X_970,g_s209_205)
<=> $false ) ).
tff('Define:ctx:184',axiom,
! [X_971: $int] :
( mem0(X_971,g_s209_205)
<=> ! [X_972: $int,X_973: $int] :
( ( mem0(X_972,g_s209_205)
& ! [X_974: $int] :
( mem0(X_974,g_s209_205)
=> $lesseq(X_972,X_974) )
& mem0(X_973,g_s209_205)
& ! [X_975: $int] :
( mem0(X_975,g_s209_205)
=> $greatereq(X_973,X_975) ) )
=> ( $greatereq(X_971,X_972)
& $lesseq(X_971,X_973) ) ) ) ).
tff('Define:ctx:185',axiom,
~ ! [X_976: $int] :
( ( X_976 = max_int )
=> mem0(X_976,g_s209_205) ) ).
tff('Define:ctx:186',axiom,
! [X_977: $int] :
( mem0(X_977,g_s210_206)
=> mem0(X_977,g_s111_111) ) ).
tff('Define:ctx:187',axiom,
mem0(g_s211_207,g_s111_111) ).
tff('Define:ctx:188',axiom,
~ mem0(g_s211_207,g_s210_206) ).
tff('Define:ctx:189',axiom,
( ! [X_978: $int,X_979: $int] :
( mem2(X_979,X_978,g_s212_208)
=> ( $greatereq(X_979,0)
& $lesseq(X_979,max_int)
& mem0(X_978,g_s111_111) ) )
& ! [X_980: $int,X_981: $int,X_982: $int] :
( ( mem2(X_980,X_981,g_s212_208)
& mem2(X_980,X_982,g_s212_208) )
=> ( X_981 = X_982 ) ) ) ).
tff('Define:ctx:19',axiom,
( ! [X_240: $int] :
( mem0(X_240,g_s43_43)
<=> ( ( X_240 = g_s44_44 )
| ( X_240 = g_s45_45 )
| ( X_240 = g_s46_46 )
| ( X_240 = g_s47_47 )
| ( X_240 = g_s48_48 )
| ( X_240 = g_s49_49 )
| ( X_240 = g_s50_50 )
| ( X_240 = g_s51_51 ) ) )
& ( g_s44_44 != g_s45_45 )
& ( g_s45_45 != g_s46_46 )
& ( g_s46_46 != g_s47_47 )
& ( g_s47_47 != g_s48_48 )
& ( g_s48_48 != g_s49_49 )
& ( g_s49_49 != g_s50_50 )
& ( g_s50_50 != g_s51_51 ) ) ).
tff('Define:ctx:190',axiom,
? [X_983: $int] :
( ? [X_984: set_2] :
( ! [X_985: $int,X_986: $int] :
( mem2(X_986,X_985,X_984)
<=> mem2(X_986,X_985,g_s212_208) )
& ! [X_987: $int,X_988: $int,X_989: $int] :
( ( mem2(X_987,X_988,X_984)
& mem2(X_987,X_989,X_984) )
=> ( X_988 = X_989 ) )
& ! [X_990: $int] :
( ( $greatereq(X_990,1)
& $lesseq(X_990,X_983) )
<=> ? [X_991: $int] : mem2(X_990,X_991,X_984) )
& ! [X_992: $int] :
( ? [X_993: $int] : mem2(X_993,X_992,X_984)
=> mem0(X_992,g_s210_206) ) )
& ! [X_994: $int] :
( mem0(X_994,g_s210_206)
=> ? [X_995: $int] : mem2(X_995,X_994,g_s212_208) )
& ! [X_996: $int,X_997: $int,X_998: $int] :
( ( mem2(X_997,X_996,g_s212_208)
& mem2(X_998,X_996,g_s212_208) )
=> ( X_997 = X_998 ) ) ) ).
tff('Define:ctx:191',axiom,
! [X_999: $int] :
( mem0(X_999,g_s213_209)
=> mem0(X_999,g_s66_66) ) ).
tff('Define:ctx:192',axiom,
~ mem0(g_s67_67,g_s213_209) ).
tff('Define:ctx:193',axiom,
! [X_1000: $int] :
( mem0(X_1000,g_s213_209)
<=> ( ( X_1000 = g_s68_68 )
| ( X_1000 = g_s69_69 ) ) ) ).
tff('Define:ctx:194',axiom,
( ? [X_1001: set_2] :
( ! [X_1002: $int,X_1003: $int] :
( mem2(X_1003,X_1002,X_1001)
<=> mem2(X_1003,X_1002,g_s214_210) )
& ! [X_1004: $int,X_1005: $int,X_1006: $int] :
( ( mem2(X_1004,X_1005,X_1001)
& mem2(X_1004,X_1006,X_1001) )
=> ( X_1005 = X_1006 ) )
& ! [X_1007: $int] :
( mem0(X_1007,g_s213_209)
<=> ? [X_1008: $int] : mem2(X_1007,X_1008,X_1001) )
& ! [X_1009: $int] :
( ? [X_1010: $int] : mem2(X_1010,X_1009,X_1001)
=> mem0(X_1009,g_s213_209) ) )
& ! [X_1011: $int] :
( mem0(X_1011,g_s213_209)
=> ? [X_1012: $int] : mem2(X_1012,X_1011,g_s214_210) )
& ! [X_1013: $int,X_1014: $int,X_1015: $int] :
( ( mem2(X_1014,X_1013,g_s214_210)
& mem2(X_1015,X_1013,g_s214_210) )
=> ( X_1014 = X_1015 ) ) ) ).
tff('Define:ctx:195',axiom,
! [X_1016: $int,X_1017: $int] :
( ( mem2(X_1017,X_1016,g_s214_210)
& ( X_1017 = X_1016 )
& mem0(X_1017,g_s213_209) )
<=> $false ) ).
tff('Define:ctx:196',axiom,
( ? [X_1018: set_2] :
( ! [X_1019: $int,X_1020: $int] :
( mem2(X_1020,X_1019,X_1018)
<=> mem2(X_1020,X_1019,g_s215_211) )
& ! [X_1021: $int,X_1022: $int,X_1023: $int] :
( ( mem2(X_1021,X_1022,X_1018)
& mem2(X_1021,X_1023,X_1018) )
=> ( X_1022 = X_1023 ) )
& ! [X_1024: $int] :
( mem0(X_1024,g_s26_26)
<=> ? [X_1025: $int] : mem2(X_1024,X_1025,X_1018) )
& ! [X_1026: $int] :
( ? [X_1027: $int] : mem2(X_1027,X_1026,X_1018)
=> mem0(X_1026,g_s66_66) ) )
& ! [X_1028: $int] :
( mem0(X_1028,g_s66_66)
=> ? [X_1029: $int] : mem2(X_1029,X_1028,g_s215_211) )
& ! [X_1030: $int,X_1031: $int,X_1032: $int] :
( ( mem2(X_1031,X_1030,g_s215_211)
& mem2(X_1032,X_1030,g_s215_211) )
=> ( X_1031 = X_1032 ) ) ) ).
tff('Define:ctx:197',axiom,
~ ! [X_1033: $int] :
( mem2(g_s27_27,X_1033,g_s215_211)
=> mem0(X_1033,g_s213_209) ) ).
tff('Define:ctx:198',axiom,
( ? [X_1034: set_2] :
( ! [X_1035: $int,X_1036: $int] :
( mem2(X_1036,X_1035,X_1034)
<=> mem2(X_1036,X_1035,g_s216_212) )
& ! [X_1037: $int,X_1038: $int,X_1039: $int] :
( ( mem2(X_1037,X_1038,X_1034)
& mem2(X_1037,X_1039,X_1034) )
=> ( X_1038 = X_1039 ) )
& ! [X_1040: $int] :
( mem0(X_1040,g_s30_30)
<=> ? [X_1041: $int] : mem2(X_1040,X_1041,X_1034) )
& ! [X_1042: $int] :
( ? [X_1043: $int] : mem2(X_1043,X_1042,X_1034)
=> mem0(X_1042,g_s66_66) ) )
& ! [X_1044: $int] :
( mem0(X_1044,g_s66_66)
=> ? [X_1045: $int] : mem2(X_1045,X_1044,g_s216_212) )
& ! [X_1046: $int,X_1047: $int,X_1048: $int] :
( ( mem2(X_1047,X_1046,g_s216_212)
& mem2(X_1048,X_1046,g_s216_212) )
=> ( X_1047 = X_1048 ) ) ) ).
tff('Define:ctx:199',axiom,
( ? [X_1049: set_2] :
( ! [X_1050: $int,X_1051: $int] :
( mem2(X_1051,X_1050,X_1049)
<=> mem2(X_1051,X_1050,g_s217_213) )
& ! [X_1052: $int,X_1053: $int,X_1054: $int] :
( ( mem2(X_1052,X_1053,X_1049)
& mem2(X_1052,X_1054,X_1049) )
=> ( X_1053 = X_1054 ) )
& ! [X_1055: $int] :
( mem0(X_1055,g_s66_66)
<=> ? [X_1056: $int] : mem2(X_1055,X_1056,X_1049) )
& ! [X_1057: $int] :
( ? [X_1058: $int] : mem2(X_1058,X_1057,X_1049)
=> mem0(X_1057,g_s30_30) ) )
& ! [X_1059: $int] :
( mem0(X_1059,g_s30_30)
=> ? [X_1060: $int] : mem2(X_1060,X_1059,g_s217_213) )
& ! [X_1061: $int,X_1062: $int,X_1063: $int] :
( ( mem2(X_1062,X_1061,g_s217_213)
& mem2(X_1063,X_1061,g_s217_213) )
=> ( X_1062 = X_1063 ) ) ) ).
tff('Define:ctx:2',axiom,
( ~ ! [X_43: $int] :
( mem0(X_43,g_s2_2)
<=> $false )
& ! [X_46: $int] :
( mem0(X_46,g_s2_2)
=> $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_s2_2) ) )
& ! [X_57: $int] :
( mem0(X_57,g_s2_2)
=> ? [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:20',axiom,
( ! [X_241: $int] :
( mem0(X_241,g_s52_52)
<=> ( ( X_241 = g_s53_53 )
| ( X_241 = g_s54_54 )
| ( X_241 = g_s55_55 )
| ( X_241 = g_s56_56 ) ) )
& ( g_s53_53 != g_s54_54 )
& ( g_s54_54 != g_s55_55 )
& ( g_s55_55 != g_s56_56 ) ) ).
tff('Define:ctx:200',axiom,
! [X_1064: $int,X_1065: $int] :
( mem2(X_1065,X_1064,g_s216_212)
<=> mem2(X_1064,X_1065,g_s217_213) ) ).
tff('Define:ctx:201',axiom,
~ ! [X_1066: $int] :
( mem2(g_s31_31,X_1066,g_s216_212)
=> mem0(X_1066,g_s213_209) ) ).
tff('Define:ctx:202',axiom,
! [X_1067: $int] :
( mem0(X_1067,g_s218_214)
=> mem0(X_1067,g_s116_116) ) ).
tff('Define:ctx:203',axiom,
mem0(g_s219_215,g_s116_116) ).
tff('Define:ctx:204',axiom,
~ mem0(g_s219_215,g_s218_214) ).
tff('Define:ctx:205',axiom,
( ! [X_1068: $int,X_1069: $int] :
( mem2(X_1069,X_1068,g_s220_216)
=> ( $greatereq(X_1069,0)
& $lesseq(X_1069,max_int)
& mem0(X_1068,g_s116_116) ) )
& ! [X_1070: $int,X_1071: $int,X_1072: $int] :
( ( mem2(X_1070,X_1071,g_s220_216)
& mem2(X_1070,X_1072,g_s220_216) )
=> ( X_1071 = X_1072 ) ) ) ).
tff('Define:ctx:206',axiom,
? [X_1073: $int] :
( ? [X_1074: set_2] :
( ! [X_1075: $int,X_1076: $int] :
( mem2(X_1076,X_1075,X_1074)
<=> mem2(X_1076,X_1075,g_s220_216) )
& ! [X_1077: $int,X_1078: $int,X_1079: $int] :
( ( mem2(X_1077,X_1078,X_1074)
& mem2(X_1077,X_1079,X_1074) )
=> ( X_1078 = X_1079 ) )
& ! [X_1080: $int] :
( ( $greatereq(X_1080,1)
& $lesseq(X_1080,X_1073) )
<=> ? [X_1081: $int] : mem2(X_1080,X_1081,X_1074) )
& ! [X_1082: $int] :
( ? [X_1083: $int] : mem2(X_1083,X_1082,X_1074)
=> mem0(X_1082,g_s218_214) ) )
& ! [X_1084: $int] :
( mem0(X_1084,g_s218_214)
=> ? [X_1085: $int] : mem2(X_1085,X_1084,g_s220_216) )
& ! [X_1086: $int,X_1087: $int,X_1088: $int] :
( ( mem2(X_1087,X_1086,g_s220_216)
& mem2(X_1088,X_1086,g_s220_216) )
=> ( X_1087 = X_1088 ) ) ) ).
tff('Define:ctx:207',axiom,
! [X_1089: $int] :
( mem0(X_1089,g_s221_217)
=> mem0(X_1089,g_s116_116) ) ).
tff('Define:ctx:208',axiom,
! [X_1090: $int] :
( mem0(X_1090,g_s222_218)
=> mem0(X_1090,g_s221_217) ) ).
tff('Define:ctx:209',axiom,
! [X_1091: $int] :
( mem0(X_1091,g_s222_218)
=> mem0(X_1091,g_s116_116) ) ).
tff('Define:ctx:21',axiom,
( ! [X_242: $int] :
( mem0(X_242,g_s57_57)
<=> ( ( X_242 = g_s58_58 )
| ( X_242 = g_s59_59 )
| ( X_242 = g_s60_60 )
| ( X_242 = g_s61_61 )
| ( X_242 = g_s62_62 )
| ( X_242 = g_s63_63 )
| ( X_242 = g_s64_64 )
| ( X_242 = g_s65_65 ) ) )
& ( 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 ) ) ).
tff('Define:ctx:210',axiom,
! [X_1092: $int] :
( mem0(X_1092,g_s222_218)
=> mem0(X_1092,g_s218_214) ) ).
tff('Define:ctx:211',axiom,
mem0(g_s219_215,g_s221_217) ).
tff('Define:ctx:212',axiom,
~ mem0(g_s219_215,g_s222_218) ).
tff('Define:ctx:213',axiom,
( ! [X_1093: $int,X_1094: $int] :
( mem2(X_1094,X_1093,g_s223_219)
=> ( $greatereq(X_1094,0)
& $lesseq(X_1094,max_int)
& mem0(X_1093,g_s221_217) ) )
& ! [X_1095: $int,X_1096: $int,X_1097: $int] :
( ( mem2(X_1095,X_1096,g_s223_219)
& mem2(X_1095,X_1097,g_s223_219) )
=> ( X_1096 = X_1097 ) ) ) ).
tff('Define:ctx:214',axiom,
? [X_1098: $int] :
( ? [X_1099: set_2] :
( ! [X_1100: $int,X_1101: $int] :
( mem2(X_1101,X_1100,X_1099)
<=> mem2(X_1101,X_1100,g_s223_219) )
& ! [X_1102: $int,X_1103: $int,X_1104: $int] :
( ( mem2(X_1102,X_1103,X_1099)
& mem2(X_1102,X_1104,X_1099) )
=> ( X_1103 = X_1104 ) )
& ! [X_1105: $int] :
( ( $greatereq(X_1105,1)
& $lesseq(X_1105,X_1098) )
<=> ? [X_1106: $int] : mem2(X_1105,X_1106,X_1099) )
& ! [X_1107: $int] :
( ? [X_1108: $int] : mem2(X_1108,X_1107,X_1099)
=> mem0(X_1107,g_s222_218) ) )
& ! [X_1109: $int] :
( mem0(X_1109,g_s222_218)
=> ? [X_1110: $int] : mem2(X_1110,X_1109,g_s223_219) )
& ! [X_1111: $int,X_1112: $int,X_1113: $int] :
( ( mem2(X_1112,X_1111,g_s223_219)
& mem2(X_1113,X_1111,g_s223_219) )
=> ( X_1112 = X_1113 ) ) ) ).
tff('Define:ctx:215',axiom,
! [X_1114: $int] :
( mem0(X_1114,g_s224_220)
=> mem0(X_1114,g_s117_117) ) ).
tff('Define:ctx:216',axiom,
mem0(g_s225_221,g_s117_117) ).
tff('Define:ctx:217',axiom,
~ mem0(g_s225_221,g_s224_220) ).
tff('Define:ctx:218',axiom,
( ! [X_1115: $int,X_1116: $int] :
( mem2(X_1116,X_1115,g_s226_222)
=> ( $greatereq(X_1116,0)
& $lesseq(X_1116,max_int)
& mem0(X_1115,g_s117_117) ) )
& ! [X_1117: $int,X_1118: $int,X_1119: $int] :
( ( mem2(X_1117,X_1118,g_s226_222)
& mem2(X_1117,X_1119,g_s226_222) )
=> ( X_1118 = X_1119 ) ) ) ).
tff('Define:ctx:219',axiom,
? [X_1120: $int] :
( ? [X_1121: set_2] :
( ! [X_1122: $int,X_1123: $int] :
( mem2(X_1123,X_1122,X_1121)
<=> mem2(X_1123,X_1122,g_s226_222) )
& ! [X_1124: $int,X_1125: $int,X_1126: $int] :
( ( mem2(X_1124,X_1125,X_1121)
& mem2(X_1124,X_1126,X_1121) )
=> ( X_1125 = X_1126 ) )
& ! [X_1127: $int] :
( ( $greatereq(X_1127,1)
& $lesseq(X_1127,X_1120) )
<=> ? [X_1128: $int] : mem2(X_1127,X_1128,X_1121) )
& ! [X_1129: $int] :
( ? [X_1130: $int] : mem2(X_1130,X_1129,X_1121)
=> mem0(X_1129,g_s224_220) ) )
& ! [X_1131: $int] :
( mem0(X_1131,g_s224_220)
=> ? [X_1132: $int] : mem2(X_1132,X_1131,g_s226_222) )
& ! [X_1133: $int,X_1134: $int,X_1135: $int] :
( ( mem2(X_1134,X_1133,g_s226_222)
& mem2(X_1135,X_1133,g_s226_222) )
=> ( X_1134 = X_1135 ) ) ) ).
tff('Define:ctx:22',axiom,
( ! [X_243: $int] :
( mem0(X_243,g_s66_66)
<=> ( ( X_243 = g_s67_67 )
| ( X_243 = g_s68_68 )
| ( X_243 = g_s69_69 ) ) )
& ( g_s67_67 != g_s68_68 )
& ( g_s68_68 != g_s69_69 ) ) ).
tff('Define:ctx:220',axiom,
! [X_1136: $int] :
( mem0(X_1136,g_s227_223)
=> mem0(X_1136,g_s21_21) ) ).
tff('Define:ctx:221',axiom,
~ mem0(g_s22_22,g_s227_223) ).
tff('Define:ctx:222',axiom,
! [X_1137: $int] :
( mem0(X_1137,g_s227_223)
<=> ( ( X_1137 = g_s23_23 )
| ( X_1137 = g_s24_24 )
| ( X_1137 = g_s25_25 ) ) ) ).
tff('Define:ctx:223',axiom,
! [X_1138: $int] :
( mem0(X_1138,g_s228_224)
=> mem0(X_1138,g_s118_118) ) ).
tff('Define:ctx:224',axiom,
mem0(g_s229_225,g_s118_118) ).
tff('Define:ctx:225',axiom,
~ mem0(g_s229_225,g_s228_224) ).
tff('Define:ctx:226',axiom,
( ! [X_1139: $int,X_1140: $int] :
( mem2(X_1140,X_1139,g_s230_226)
=> ( $greatereq(X_1140,0)
& $lesseq(X_1140,max_int)
& mem0(X_1139,g_s118_118) ) )
& ! [X_1141: $int,X_1142: $int,X_1143: $int] :
( ( mem2(X_1141,X_1142,g_s230_226)
& mem2(X_1141,X_1143,g_s230_226) )
=> ( X_1142 = X_1143 ) ) ) ).
tff('Define:ctx:227',axiom,
? [X_1144: $int] :
( ? [X_1145: set_2] :
( ! [X_1146: $int,X_1147: $int] :
( mem2(X_1147,X_1146,X_1145)
<=> mem2(X_1147,X_1146,g_s230_226) )
& ! [X_1148: $int,X_1149: $int,X_1150: $int] :
( ( mem2(X_1148,X_1149,X_1145)
& mem2(X_1148,X_1150,X_1145) )
=> ( X_1149 = X_1150 ) )
& ! [X_1151: $int] :
( ( $greatereq(X_1151,1)
& $lesseq(X_1151,X_1144) )
<=> ? [X_1152: $int] : mem2(X_1151,X_1152,X_1145) )
& ! [X_1153: $int] :
( ? [X_1154: $int] : mem2(X_1154,X_1153,X_1145)
=> mem0(X_1153,g_s228_224) ) )
& ! [X_1155: $int] :
( mem0(X_1155,g_s228_224)
=> ? [X_1156: $int] : mem2(X_1156,X_1155,g_s230_226) )
& ! [X_1157: $int,X_1158: $int,X_1159: $int] :
( ( mem2(X_1158,X_1157,g_s230_226)
& mem2(X_1159,X_1157,g_s230_226) )
=> ( X_1158 = X_1159 ) ) ) ).
tff('Define:ctx:228',axiom,
! [X_1160: $int] :
( mem0(X_1160,g_s231_227)
=> mem0(X_1160,g_s119_119) ) ).
tff('Define:ctx:229',axiom,
mem0(g_s232_228,g_s119_119) ).
tff('Define:ctx:23',axiom,
( ! [X_244: $int] :
( mem0(X_244,g_s70_70)
<=> ( ( X_244 = g_s71_71 )
| ( X_244 = g_s72_72 )
| ( X_244 = g_s73_73 ) ) )
& ( g_s71_71 != g_s72_72 )
& ( g_s72_72 != g_s73_73 ) ) ).
tff('Define:ctx:230',axiom,
~ mem0(g_s232_228,g_s231_227) ).
tff('Define:ctx:231',axiom,
( ! [X_1161: $int,X_1162: $int] :
( mem2(X_1162,X_1161,g_s233_229)
=> ( $greatereq(X_1162,0)
& $lesseq(X_1162,max_int)
& mem0(X_1161,g_s119_119) ) )
& ! [X_1163: $int,X_1164: $int,X_1165: $int] :
( ( mem2(X_1163,X_1164,g_s233_229)
& mem2(X_1163,X_1165,g_s233_229) )
=> ( X_1164 = X_1165 ) ) ) ).
tff('Define:ctx:232',axiom,
? [X_1166: $int] :
( ? [X_1167: set_2] :
( ! [X_1168: $int,X_1169: $int] :
( mem2(X_1169,X_1168,X_1167)
<=> mem2(X_1169,X_1168,g_s233_229) )
& ! [X_1170: $int,X_1171: $int,X_1172: $int] :
( ( mem2(X_1170,X_1171,X_1167)
& mem2(X_1170,X_1172,X_1167) )
=> ( X_1171 = X_1172 ) )
& ! [X_1173: $int] :
( ( $greatereq(X_1173,1)
& $lesseq(X_1173,X_1166) )
<=> ? [X_1174: $int] : mem2(X_1173,X_1174,X_1167) )
& ! [X_1175: $int] :
( ? [X_1176: $int] : mem2(X_1176,X_1175,X_1167)
=> mem0(X_1175,g_s231_227) ) )
& ! [X_1177: $int] :
( mem0(X_1177,g_s231_227)
=> ? [X_1178: $int] : mem2(X_1178,X_1177,g_s233_229) )
& ! [X_1179: $int,X_1180: $int,X_1181: $int] :
( ( mem2(X_1180,X_1179,g_s233_229)
& mem2(X_1181,X_1179,g_s233_229) )
=> ( X_1180 = X_1181 ) ) ) ).
tff('Define:ctx:233',axiom,
? [X_1182: set_2] :
( ! [X_1183: $int,X_1184: $int] :
( mem2(X_1184,X_1183,X_1182)
<=> mem2(X_1184,X_1183,g_s234_230) )
& ! [X_1185: $int,X_1186: $int,X_1187: $int] :
( ( mem2(X_1185,X_1186,X_1182)
& mem2(X_1185,X_1187,X_1182) )
=> ( X_1186 = X_1187 ) )
& ! [X_1188: $int] :
( $greatereq(X_1188,0)
<=> ? [X_1189: $int] : mem2(X_1188,X_1189,X_1182) )
& ! [X_1190: $int] :
( ? [X_1191: $int] : mem2(X_1191,X_1190,X_1182)
=> mem0(X_1190,g_s119_119) ) ) ).
tff('Define:ctx:234',axiom,
( ? [X_1192: set_2] :
( ! [X_1193: $int,X_1194: $int] :
( mem2(X_1194,X_1193,X_1192)
<=> mem2(X_1194,X_1193,g_s235_231) )
& ! [X_1195: $int,X_1196: $int,X_1197: $int] :
( ( mem2(X_1195,X_1196,X_1192)
& mem2(X_1195,X_1197,X_1192) )
=> ( X_1196 = X_1197 ) )
& ! [X_1198: $int] :
( mem0(X_1198,g_s231_227)
<=> ? [X_1199: $int] : mem2(X_1198,X_1199,X_1192) )
& ! [X_1200: $int] :
( ? [X_1201: $int] : mem2(X_1201,X_1200,X_1192)
=> mem0(X_1200,g_s130_128) ) )
& ! [X_1202: $int,X_1203: $int,X_1204: $int] :
( ( mem2(X_1203,X_1202,g_s235_231)
& mem2(X_1204,X_1202,g_s235_231) )
=> ( X_1203 = X_1204 ) ) ) ).
tff('Define:ctx:235',axiom,
! [X_1205: $int] :
( mem0(X_1205,g_s236_232)
<=> ( $greatereq(X_1205,0)
& $lesseq(X_1205,max_int) ) ) ).
tff('Define:ctx:236',axiom,
( ! [X_1206: $int,X_1207: $int] :
( mem2(X_1207,X_1206,g_s237_233)
=> ( mem0(X_1207,g_s190_186)
& mem0(X_1206,g_s238_234) ) )
& ! [X_1208: $int,X_1209: $int,X_1210: $int] :
( ( mem2(X_1208,X_1209,g_s237_233)
& mem2(X_1208,X_1210,g_s237_233) )
=> ( X_1209 = X_1210 ) ) ) ).
tff('Define:ctx:237',axiom,
( ! [X_1211: $int,X_1212: $int] :
( mem2(X_1212,X_1211,g_s239_235)
=> ( mem0(X_1212,g_s190_186)
& mem0(X_1211,g_s193_189) ) )
& ! [X_1213: $int,X_1214: $int,X_1215: $int] :
( ( mem2(X_1213,X_1214,g_s239_235)
& mem2(X_1213,X_1215,g_s239_235) )
=> ( X_1214 = X_1215 ) ) ) ).
tff('Define:ctx:238',axiom,
( ! [X_1216: $int,X_1217: $int,X_1218: $int] :
( mem3(X_1218,X_1217,X_1216,g_s240_236)
=> ( mem0(X_1218,g_s190_186)
& mem0(X_1217,g_s213_209)
& mem0(X_1216,g_s224_220) ) )
& ! [X_1219: $int,X_1220: $int,X_1221: $int,X_1222: $int] :
( ( mem3(X_1220,X_1219,X_1221,g_s240_236)
& mem3(X_1220,X_1219,X_1222,g_s240_236) )
=> ( X_1221 = X_1222 ) ) ) ).
tff('Define:ctx:239',axiom,
? [X_1223: set_2] :
( ! [X_1224: $int,X_1225: $int] :
( mem2(X_1225,X_1224,X_1223)
<=> mem2(X_1225,X_1224,g_s241_237) )
& ! [X_1226: $int,X_1227: $int,X_1228: $int] :
( ( mem2(X_1226,X_1227,X_1223)
& mem2(X_1226,X_1228,X_1223) )
=> ( X_1227 = X_1228 ) )
& ! [X_1229: $int] :
( mem0(X_1229,g_s190_186)
<=> ? [X_1230: $int] : mem2(X_1229,X_1230,X_1223) )
& ! [X_1231: $int] :
( ? [X_1232: $int] : mem2(X_1232,X_1231,X_1223)
=> mem0(X_1231,g_s201_197) ) ) ).
tff('Define:ctx:24',axiom,
( ! [X_245: $int] :
( mem0(X_245,g_s74_74)
<=> ( ( X_245 = g_s75_75 )
| ( X_245 = g_s76_76 )
| ( X_245 = g_s77_77 ) ) )
& ( g_s75_75 != g_s76_76 )
& ( g_s76_76 != g_s77_77 ) ) ).
tff('Define:ctx:240',axiom,
? [X_1233: set_2] :
( ! [X_1234: $int,X_1235: $int] :
( mem2(X_1235,X_1234,X_1233)
<=> mem2(X_1235,X_1234,g_s242_238) )
& ! [X_1236: $int,X_1237: $int,X_1238: $int] :
( ( mem2(X_1236,X_1237,X_1233)
& mem2(X_1236,X_1238,X_1233) )
=> ( X_1237 = X_1238 ) )
& ! [X_1239: $int] :
( mem0(X_1239,g_s190_186)
<=> ? [X_1240: $int] : mem2(X_1239,X_1240,X_1233) )
& ! [X_1241: $int] :
( ? [X_1242: $int] : mem2(X_1242,X_1241,X_1233)
=> mem0(X_1241,g_s112_112) ) ) ).
tff('Define:ctx:241',axiom,
? [X_1243: set_2] :
( ! [X_1244: $int,X_1245: $int] :
( mem2(X_1245,X_1244,X_1243)
<=> mem2(X_1245,X_1244,g_s243_239) )
& ! [X_1246: $int,X_1247: $int,X_1248: $int] :
( ( mem2(X_1246,X_1247,X_1243)
& mem2(X_1246,X_1248,X_1243) )
=> ( X_1247 = X_1248 ) )
& ! [X_1249: $int] :
( mem0(X_1249,g_s190_186)
<=> ? [X_1250: $int] : mem2(X_1249,X_1250,X_1243) )
& ! [X_1251: $int] :
( ? [X_1252: $int] : mem2(X_1252,X_1251,X_1243)
=> mem0(X_1251,g_s213_209) ) ) ).
tff('Define:ctx:242',axiom,
? [X_1253: set_2] :
( ! [X_1254: $int,X_1255: $int] :
( mem2(X_1255,X_1254,X_1253)
<=> mem2(X_1255,X_1254,g_s244_240) )
& ! [X_1256: $int,X_1257: $int,X_1258: $int] :
( ( mem2(X_1256,X_1257,X_1253)
& mem2(X_1256,X_1258,X_1253) )
=> ( X_1257 = X_1258 ) )
& ! [X_1259: $int] :
( mem0(X_1259,g_s190_186)
<=> ? [X_1260: $int] : mem2(X_1259,X_1260,X_1253) )
& ! [X_1261: $int] :
( ? [X_1262: $int] : mem2(X_1262,X_1261,X_1253)
=> mem0(X_1261,g_s213_209) ) ) ).
tff('Define:ctx:243',axiom,
! [X_1263: $int,X_1264: $int] :
( mem2(X_1264,X_1263,g_s245_241)
=> ( mem0(X_1264,g_s238_234)
& mem0(X_1263,g_s190_186) ) ) ).
tff('Define:ctx:244',axiom,
? [X_1265: set_6] :
( ! [X_1266: set_0,X_1267: $int] :
( mem6(X_1267,X_1266,X_1265)
<=> mem6(X_1267,X_1266,g_s246_242) )
& ! [X_1268: $int,X_1269: set_0,X_1270: set_0] :
( ( mem6(X_1268,X_1269,X_1265)
& mem6(X_1268,X_1270,X_1265) )
=> ! [X_1271: $int] :
( mem0(X_1271,X_1269)
<=> mem0(X_1271,X_1270) ) )
& ! [X_1272: $int] :
( mem0(X_1272,g_s238_234)
<=> ? [X_1273: set_0] : mem6(X_1272,X_1273,X_1265) )
& ! [X_1274: set_0] :
( ? [X_1275: $int] : mem6(X_1275,X_1274,X_1265)
=> ! [X_1276: $int] :
( mem0(X_1276,X_1274)
=> mem0(X_1276,g_s207_203) ) ) ) ).
tff('Define:ctx:245',axiom,
? [X_1277: $int,X_1278: set_2] :
( ! [X_1279: $int,X_1280: $int] :
( mem2(X_1280,X_1279,X_1278)
<=> mem2(X_1280,X_1279,g_s247_243) )
& ! [X_1281: $int,X_1282: $int,X_1283: $int] :
( ( mem2(X_1281,X_1282,X_1278)
& mem2(X_1281,X_1283,X_1278) )
=> ( X_1282 = X_1283 ) )
& ! [X_1284: $int] :
( ( $greatereq(X_1284,1)
& $lesseq(X_1284,X_1277) )
<=> ? [X_1285: $int] : mem2(X_1284,X_1285,X_1278) )
& ! [X_1286: $int] :
( ? [X_1287: $int] : mem2(X_1287,X_1286,X_1278)
=> mem0(X_1286,g_s190_186) ) ) ).
tff('Define:ctx:246',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s238_234)
=> ! [X_1288: $int] :
( ? [X_1289: $int] :
( ( X_1289 = L_s248 )
& mem2(X_1289,X_1288,g_s245_241) )
<=> ? [X_1290: $int] :
( ! [X_1291: set_0] :
( mem6(L_s248,X_1291,g_s246_242)
=> mem0(X_1290,X_1291) )
& mem2(X_1290,X_1288,g_s247_243) ) ) ) ).
tff('Define:ctx:247',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s238_234)
=> ! [X_1292: $int] :
( ! [X_1293: set_0] :
( mem6(L_s248,X_1293,g_s246_242)
=> mem0(X_1292,X_1293) )
=> ? [X_1294: $int] : mem2(X_1292,X_1294,g_s247_243) ) ) ).
tff('Define:ctx:248',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s238_234)
=> ( ! [X_1295: $int,X_1296: $int] :
( ( mem2(X_1296,X_1295,g_s247_243)
& ! [X_1297: set_0] :
( mem6(L_s248,X_1297,g_s246_242)
=> mem0(X_1296,X_1297) ) )
=> ( $greatereq(X_1296,0)
& mem0(X_1295,g_s190_186) ) )
& ! [X_1298: $int,X_1299: $int,X_1300: $int] :
( ( mem2(X_1298,X_1299,g_s247_243)
& ! [X_1301: set_0] :
( mem6(L_s248,X_1301,g_s246_242)
=> mem0(X_1298,X_1301) )
& mem2(X_1298,X_1300,g_s247_243)
& ! [X_1302: set_0] :
( mem6(L_s248,X_1302,g_s246_242)
=> mem0(X_1298,X_1302) ) )
=> ( X_1299 = X_1300 ) )
& ! [X_1303: $int,X_1304: $int,X_1305: $int] :
( ( mem2(X_1304,X_1303,g_s247_243)
& ! [X_1306: set_0] :
( mem6(L_s248,X_1306,g_s246_242)
=> mem0(X_1304,X_1306) )
& mem2(X_1305,X_1303,g_s247_243)
& ! [X_1307: set_0] :
( mem6(L_s248,X_1307,g_s246_242)
=> mem0(X_1305,X_1307) ) )
=> ( X_1304 = X_1305 ) ) ) ) ).
tff('Define:ctx:249',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s238_234)
& ~ ! [X_1308: set_0] :
( ! [X_1309: $int] :
( mem0(X_1309,X_1308)
<=> $false )
=> mem6(L_s248,X_1308,g_s246_242) ) )
=> ! [X_1310: set_0] :
( ! [X_1311: $int] :
( mem0(X_1311,X_1310)
<=> ! [X_1312: $int,X_1313: $int] :
( ( ! [X_1315: set_0] :
( mem6(L_s248,X_1315,g_s246_242)
=> mem0(X_1312,X_1315) )
& ! [X_1314: $int] :
( ! [X_1316: set_0] :
( mem6(L_s248,X_1316,g_s246_242)
=> mem0(X_1314,X_1316) )
=> $lesseq(X_1312,X_1314) )
& ! [X_1318: set_0] :
( mem6(L_s248,X_1318,g_s246_242)
=> mem0(X_1313,X_1318) )
& ! [X_1317: $int] :
( ! [X_1319: set_0] :
( mem6(L_s248,X_1319,g_s246_242)
=> mem0(X_1317,X_1319) )
=> $greatereq(X_1313,X_1317) ) )
=> ( $greatereq(X_1311,X_1312)
& $lesseq(X_1311,X_1313) ) ) )
=> mem6(L_s248,X_1310,g_s246_242) ) ) ).
tff('Define:ctx:25',axiom,
( ! [X_246: $int] :
( mem0(X_246,g_s78_78)
<=> ( ( X_246 = g_s79_79 )
| ( X_246 = g_s80_80 ) ) )
& ( g_s79_79 != g_s80_80 ) ) ).
tff('Define:ctx:250',axiom,
! [X_1320: $int] :
( mem0(X_1320,g_s249_244)
=> mem0(X_1320,g_s198_194) ) ).
tff('Define:ctx:251',axiom,
! [X_1321: $int] :
( mem0(X_1321,g_s250_245)
=> mem0(X_1321,g_s198_194) ) ).
tff('Define:ctx:252',axiom,
! [X_1322: $int] :
( mem0(X_1322,g_s251_246)
=> mem0(X_1322,g_s198_194) ) ).
tff('Define:ctx:253',axiom,
! [X_1323: $int] :
( mem0(X_1323,g_s252_247)
=> mem0(X_1323,g_s198_194) ) ).
tff('Define:ctx:254',axiom,
! [X_1324: $int] :
( mem0(X_1324,g_s253_248)
=> mem0(X_1324,g_s198_194) ) ).
tff('Define:ctx:255',axiom,
( ! [X_1325: $int,X_1326: $int] :
( mem2(X_1326,X_1325,g_s254_249)
=> ( mem0(X_1326,g_s198_194)
& mem0(X_1325,g_s255_250) ) )
& ! [X_1327: $int,X_1328: $int,X_1329: $int] :
( ( mem2(X_1327,X_1328,g_s254_249)
& mem2(X_1327,X_1329,g_s254_249) )
=> ( X_1328 = X_1329 ) ) ) ).
tff('Define:ctx:256',axiom,
! [X_1330: $int,X_1331: $int] :
( mem2(X_1331,X_1330,g_s256_251)
=> ( mem0(X_1331,g_s198_194)
& mem0(X_1330,g_s201_197) ) ) ).
tff('Define:ctx:257',axiom,
? [X_1332: set_6] :
( ! [X_1333: set_0,X_1334: $int] :
( mem6(X_1334,X_1333,X_1332)
<=> mem6(X_1334,X_1333,g_s257_252) )
& ! [X_1335: $int,X_1336: set_0,X_1337: set_0] :
( ( mem6(X_1335,X_1336,X_1332)
& mem6(X_1335,X_1337,X_1332) )
=> ! [X_1338: $int] :
( mem0(X_1338,X_1336)
<=> mem0(X_1338,X_1337) ) )
& ! [X_1339: $int] :
( mem0(X_1339,g_s198_194)
<=> ? [X_1340: set_0] : mem6(X_1339,X_1340,X_1332) )
& ! [X_1341: set_0] :
( ? [X_1342: $int] : mem6(X_1342,X_1341,X_1332)
=> ! [X_1343: $int] :
( mem0(X_1343,X_1341)
=> mem0(X_1343,g_s207_203) ) ) ) ).
tff('Define:ctx:258',axiom,
? [X_1344: $int,X_1345: set_2] :
( ! [X_1346: $int,X_1347: $int] :
( mem2(X_1347,X_1346,X_1345)
<=> mem2(X_1347,X_1346,g_s258_253) )
& ! [X_1348: $int,X_1349: $int,X_1350: $int] :
( ( mem2(X_1348,X_1349,X_1345)
& mem2(X_1348,X_1350,X_1345) )
=> ( X_1349 = X_1350 ) )
& ! [X_1351: $int] :
( ( $greatereq(X_1351,1)
& $lesseq(X_1351,X_1344) )
<=> ? [X_1352: $int] : mem2(X_1351,X_1352,X_1345) )
& ! [X_1353: $int] :
( ? [X_1354: $int] : mem2(X_1354,X_1353,X_1345)
=> mem0(X_1353,g_s201_197) ) ) ).
tff('Define:ctx:259',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1355: $int] :
( ? [X_1356: $int] :
( ( X_1356 = L_s248 )
& mem2(X_1356,X_1355,g_s256_251) )
<=> ? [X_1357: $int] :
( ! [X_1358: set_0] :
( mem6(L_s248,X_1358,g_s257_252)
=> mem0(X_1357,X_1358) )
& mem2(X_1357,X_1355,g_s258_253) ) ) ) ).
tff('Define:ctx:26',axiom,
( ! [X_247: $int] :
( mem0(X_247,g_s81_81)
<=> ( ( X_247 = g_s82_82 )
| ( X_247 = g_s83_83 ) ) )
& ( g_s82_82 != g_s83_83 ) ) ).
tff('Define:ctx:260',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1359: $int] :
( ! [X_1360: set_0] :
( mem6(L_s248,X_1360,g_s257_252)
=> mem0(X_1359,X_1360) )
=> ? [X_1361: $int] : mem2(X_1359,X_1361,g_s258_253) ) ) ).
tff('Define:ctx:261',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ( ! [X_1362: $int,X_1363: $int] :
( ( mem2(X_1363,X_1362,g_s258_253)
& ! [X_1364: set_0] :
( mem6(L_s248,X_1364,g_s257_252)
=> mem0(X_1363,X_1364) ) )
=> ( $greatereq(X_1363,0)
& mem0(X_1362,g_s201_197) ) )
& ! [X_1365: $int,X_1366: $int,X_1367: $int] :
( ( mem2(X_1365,X_1366,g_s258_253)
& ! [X_1368: set_0] :
( mem6(L_s248,X_1368,g_s257_252)
=> mem0(X_1365,X_1368) )
& mem2(X_1365,X_1367,g_s258_253)
& ! [X_1369: set_0] :
( mem6(L_s248,X_1369,g_s257_252)
=> mem0(X_1365,X_1369) ) )
=> ( X_1366 = X_1367 ) )
& ! [X_1370: $int,X_1371: $int,X_1372: $int] :
( ( mem2(X_1371,X_1370,g_s258_253)
& ! [X_1373: set_0] :
( mem6(L_s248,X_1373,g_s257_252)
=> mem0(X_1371,X_1373) )
& mem2(X_1372,X_1370,g_s258_253)
& ! [X_1374: set_0] :
( mem6(L_s248,X_1374,g_s257_252)
=> mem0(X_1372,X_1374) ) )
=> ( X_1371 = X_1372 ) ) ) ) ).
tff('Define:ctx:262',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s198_194)
& ~ ! [X_1375: set_0] :
( ! [X_1376: $int] :
( mem0(X_1376,X_1375)
<=> $false )
=> mem6(L_s248,X_1375,g_s257_252) ) )
=> ! [X_1377: set_0] :
( ! [X_1378: $int] :
( mem0(X_1378,X_1377)
<=> ! [X_1379: $int,X_1380: $int] :
( ( ! [X_1382: set_0] :
( mem6(L_s248,X_1382,g_s257_252)
=> mem0(X_1379,X_1382) )
& ! [X_1381: $int] :
( ! [X_1383: set_0] :
( mem6(L_s248,X_1383,g_s257_252)
=> mem0(X_1381,X_1383) )
=> $lesseq(X_1379,X_1381) )
& ! [X_1385: set_0] :
( mem6(L_s248,X_1385,g_s257_252)
=> mem0(X_1380,X_1385) )
& ! [X_1384: $int] :
( ! [X_1386: set_0] :
( mem6(L_s248,X_1386,g_s257_252)
=> mem0(X_1384,X_1386) )
=> $greatereq(X_1380,X_1384) ) )
=> ( $greatereq(X_1378,X_1379)
& $lesseq(X_1378,X_1380) ) ) )
=> mem6(L_s248,X_1377,g_s257_252) ) ) ).
tff('Define:ctx:263',axiom,
! [X_1387: $int,X_1388: $int] :
( mem2(X_1388,X_1387,g_s259_254)
=> ( mem0(X_1388,g_s198_194)
& mem0(X_1387,g_s201_197) ) ) ).
tff('Define:ctx:264',axiom,
? [X_1389: set_6] :
( ! [X_1390: set_0,X_1391: $int] :
( mem6(X_1391,X_1390,X_1389)
<=> mem6(X_1391,X_1390,g_s260_255) )
& ! [X_1392: $int,X_1393: set_0,X_1394: set_0] :
( ( mem6(X_1392,X_1393,X_1389)
& mem6(X_1392,X_1394,X_1389) )
=> ! [X_1395: $int] :
( mem0(X_1395,X_1393)
<=> mem0(X_1395,X_1394) ) )
& ! [X_1396: $int] :
( mem0(X_1396,g_s198_194)
<=> ? [X_1397: set_0] : mem6(X_1396,X_1397,X_1389) )
& ! [X_1398: set_0] :
( ? [X_1399: $int] : mem6(X_1399,X_1398,X_1389)
=> ! [X_1400: $int] :
( mem0(X_1400,X_1398)
=> mem0(X_1400,g_s207_203) ) ) ) ).
tff('Define:ctx:265',axiom,
? [X_1401: $int,X_1402: set_2] :
( ! [X_1403: $int,X_1404: $int] :
( mem2(X_1404,X_1403,X_1402)
<=> mem2(X_1404,X_1403,g_s261_256) )
& ! [X_1405: $int,X_1406: $int,X_1407: $int] :
( ( mem2(X_1405,X_1406,X_1402)
& mem2(X_1405,X_1407,X_1402) )
=> ( X_1406 = X_1407 ) )
& ! [X_1408: $int] :
( ( $greatereq(X_1408,1)
& $lesseq(X_1408,X_1401) )
<=> ? [X_1409: $int] : mem2(X_1408,X_1409,X_1402) )
& ! [X_1410: $int] :
( ? [X_1411: $int] : mem2(X_1411,X_1410,X_1402)
=> mem0(X_1410,g_s201_197) ) ) ).
tff('Define:ctx:266',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1412: $int] :
( ? [X_1413: $int] :
( ( X_1413 = L_s248 )
& mem2(X_1413,X_1412,g_s259_254) )
<=> ? [X_1414: $int] :
( ! [X_1415: set_0] :
( mem6(L_s248,X_1415,g_s260_255)
=> mem0(X_1414,X_1415) )
& mem2(X_1414,X_1412,g_s261_256) ) ) ) ).
tff('Define:ctx:267',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1416: $int] :
( ! [X_1417: set_0] :
( mem6(L_s248,X_1417,g_s260_255)
=> mem0(X_1416,X_1417) )
=> ? [X_1418: $int] : mem2(X_1416,X_1418,g_s261_256) ) ) ).
tff('Define:ctx:268',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ( ! [X_1419: $int,X_1420: $int] :
( ( mem2(X_1420,X_1419,g_s261_256)
& ! [X_1421: set_0] :
( mem6(L_s248,X_1421,g_s260_255)
=> mem0(X_1420,X_1421) ) )
=> ( $greatereq(X_1420,0)
& mem0(X_1419,g_s201_197) ) )
& ! [X_1422: $int,X_1423: $int,X_1424: $int] :
( ( mem2(X_1422,X_1423,g_s261_256)
& ! [X_1425: set_0] :
( mem6(L_s248,X_1425,g_s260_255)
=> mem0(X_1422,X_1425) )
& mem2(X_1422,X_1424,g_s261_256)
& ! [X_1426: set_0] :
( mem6(L_s248,X_1426,g_s260_255)
=> mem0(X_1422,X_1426) ) )
=> ( X_1423 = X_1424 ) )
& ! [X_1427: $int,X_1428: $int,X_1429: $int] :
( ( mem2(X_1428,X_1427,g_s261_256)
& ! [X_1430: set_0] :
( mem6(L_s248,X_1430,g_s260_255)
=> mem0(X_1428,X_1430) )
& mem2(X_1429,X_1427,g_s261_256)
& ! [X_1431: set_0] :
( mem6(L_s248,X_1431,g_s260_255)
=> mem0(X_1429,X_1431) ) )
=> ( X_1428 = X_1429 ) ) ) ) ).
tff('Define:ctx:269',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s198_194)
& ~ ! [X_1432: set_0] :
( ! [X_1433: $int] :
( mem0(X_1433,X_1432)
<=> $false )
=> mem6(L_s248,X_1432,g_s260_255) ) )
=> ! [X_1434: set_0] :
( ! [X_1435: $int] :
( mem0(X_1435,X_1434)
<=> ! [X_1436: $int,X_1437: $int] :
( ( ! [X_1439: set_0] :
( mem6(L_s248,X_1439,g_s260_255)
=> mem0(X_1436,X_1439) )
& ! [X_1438: $int] :
( ! [X_1440: set_0] :
( mem6(L_s248,X_1440,g_s260_255)
=> mem0(X_1438,X_1440) )
=> $lesseq(X_1436,X_1438) )
& ! [X_1442: set_0] :
( mem6(L_s248,X_1442,g_s260_255)
=> mem0(X_1437,X_1442) )
& ! [X_1441: $int] :
( ! [X_1443: set_0] :
( mem6(L_s248,X_1443,g_s260_255)
=> mem0(X_1441,X_1443) )
=> $greatereq(X_1437,X_1441) ) )
=> ( $greatereq(X_1435,X_1436)
& $lesseq(X_1435,X_1437) ) ) )
=> mem6(L_s248,X_1434,g_s260_255) ) ) ).
tff('Define:ctx:27',axiom,
( ! [X_248: $int] :
( mem0(X_248,g_s84_84)
<=> ( ( X_248 = g_s85_85 )
| ( X_248 = g_s86_86 )
| ( X_248 = g_s87_87 ) ) )
& ( g_s85_85 != g_s86_86 )
& ( g_s86_86 != g_s87_87 ) ) ).
tff('Define:ctx:270',axiom,
! [X_1444: $int,X_1445: $int] :
( mem2(X_1445,X_1444,g_s262_257)
=> ( mem0(X_1445,g_s198_194)
& mem0(X_1444,g_s204_200) ) ) ).
tff('Define:ctx:271',axiom,
? [X_1446: set_6] :
( ! [X_1447: set_0,X_1448: $int] :
( mem6(X_1448,X_1447,X_1446)
<=> mem6(X_1448,X_1447,g_s263_258) )
& ! [X_1449: $int,X_1450: set_0,X_1451: set_0] :
( ( mem6(X_1449,X_1450,X_1446)
& mem6(X_1449,X_1451,X_1446) )
=> ! [X_1452: $int] :
( mem0(X_1452,X_1450)
<=> mem0(X_1452,X_1451) ) )
& ! [X_1453: $int] :
( mem0(X_1453,g_s198_194)
<=> ? [X_1454: set_0] : mem6(X_1453,X_1454,X_1446) )
& ! [X_1455: set_0] :
( ? [X_1456: $int] : mem6(X_1456,X_1455,X_1446)
=> ! [X_1457: $int] :
( mem0(X_1457,X_1455)
=> mem0(X_1457,g_s207_203) ) ) ) ).
tff('Define:ctx:272',axiom,
? [X_1458: $int,X_1459: set_2] :
( ! [X_1460: $int,X_1461: $int] :
( mem2(X_1461,X_1460,X_1459)
<=> mem2(X_1461,X_1460,g_s264_259) )
& ! [X_1462: $int,X_1463: $int,X_1464: $int] :
( ( mem2(X_1462,X_1463,X_1459)
& mem2(X_1462,X_1464,X_1459) )
=> ( X_1463 = X_1464 ) )
& ! [X_1465: $int] :
( ( $greatereq(X_1465,1)
& $lesseq(X_1465,X_1458) )
<=> ? [X_1466: $int] : mem2(X_1465,X_1466,X_1459) )
& ! [X_1467: $int] :
( ? [X_1468: $int] : mem2(X_1468,X_1467,X_1459)
=> mem0(X_1467,g_s204_200) ) ) ).
tff('Define:ctx:273',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1469: $int] :
( ? [X_1470: $int] :
( ( X_1470 = L_s248 )
& mem2(X_1470,X_1469,g_s262_257) )
<=> ? [X_1471: $int] :
( ! [X_1472: set_0] :
( mem6(L_s248,X_1472,g_s263_258)
=> mem0(X_1471,X_1472) )
& mem2(X_1471,X_1469,g_s264_259) ) ) ) ).
tff('Define:ctx:274',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ! [X_1473: $int] :
( ! [X_1474: set_0] :
( mem6(L_s248,X_1474,g_s263_258)
=> mem0(X_1473,X_1474) )
=> ? [X_1475: $int] : mem2(X_1473,X_1475,g_s264_259) ) ) ).
tff('Define:ctx:275',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s198_194)
=> ( ! [X_1476: $int,X_1477: $int] :
( ( mem2(X_1477,X_1476,g_s264_259)
& ! [X_1478: set_0] :
( mem6(L_s248,X_1478,g_s263_258)
=> mem0(X_1477,X_1478) ) )
=> ( $greatereq(X_1477,0)
& mem0(X_1476,g_s204_200) ) )
& ! [X_1479: $int,X_1480: $int,X_1481: $int] :
( ( mem2(X_1479,X_1480,g_s264_259)
& ! [X_1482: set_0] :
( mem6(L_s248,X_1482,g_s263_258)
=> mem0(X_1479,X_1482) )
& mem2(X_1479,X_1481,g_s264_259)
& ! [X_1483: set_0] :
( mem6(L_s248,X_1483,g_s263_258)
=> mem0(X_1479,X_1483) ) )
=> ( X_1480 = X_1481 ) )
& ! [X_1484: $int,X_1485: $int,X_1486: $int] :
( ( mem2(X_1485,X_1484,g_s264_259)
& ! [X_1487: set_0] :
( mem6(L_s248,X_1487,g_s263_258)
=> mem0(X_1485,X_1487) )
& mem2(X_1486,X_1484,g_s264_259)
& ! [X_1488: set_0] :
( mem6(L_s248,X_1488,g_s263_258)
=> mem0(X_1486,X_1488) ) )
=> ( X_1485 = X_1486 ) ) ) ) ).
tff('Define:ctx:276',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s198_194)
& ~ ! [X_1489: set_0] :
( ! [X_1490: $int] :
( mem0(X_1490,X_1489)
<=> $false )
=> mem6(L_s248,X_1489,g_s263_258) ) )
=> ! [X_1491: set_0] :
( ! [X_1492: $int] :
( mem0(X_1492,X_1491)
<=> ! [X_1493: $int,X_1494: $int] :
( ( ! [X_1496: set_0] :
( mem6(L_s248,X_1496,g_s263_258)
=> mem0(X_1493,X_1496) )
& ! [X_1495: $int] :
( ! [X_1497: set_0] :
( mem6(L_s248,X_1497,g_s263_258)
=> mem0(X_1495,X_1497) )
=> $lesseq(X_1493,X_1495) )
& ! [X_1499: set_0] :
( mem6(L_s248,X_1499,g_s263_258)
=> mem0(X_1494,X_1499) )
& ! [X_1498: $int] :
( ! [X_1500: set_0] :
( mem6(L_s248,X_1500,g_s263_258)
=> mem0(X_1498,X_1500) )
=> $greatereq(X_1494,X_1498) ) )
=> ( $greatereq(X_1492,X_1493)
& $lesseq(X_1492,X_1494) ) ) )
=> mem6(L_s248,X_1491,g_s263_258) ) ) ).
tff('Define:ctx:277',axiom,
( ! [X_1501: $int,X_1502: $int] :
( mem2(X_1502,X_1501,g_s265_260)
=> ( mem0(X_1502,g_s201_197)
& mem0(X_1501,g_s266_261) ) )
& ! [X_1503: $int,X_1504: $int,X_1505: $int] :
( ( mem2(X_1503,X_1504,g_s265_260)
& mem2(X_1503,X_1505,g_s265_260) )
=> ( X_1504 = X_1505 ) ) ) ).
tff('Define:ctx:278',axiom,
( ! [X_1506: $int,X_1507: $int] :
( mem2(X_1507,X_1506,g_s267_262)
=> ( mem0(X_1507,g_s201_197)
& mem0(X_1506,g_s190_186) ) )
& ! [X_1508: $int,X_1509: $int,X_1510: $int] :
( ( mem2(X_1508,X_1509,g_s267_262)
& mem2(X_1508,X_1510,g_s267_262) )
=> ( X_1509 = X_1510 ) ) ) ).
tff('Define:ctx:279',axiom,
( ! [X_1511: $int,X_1512: $int,X_1513: $int] :
( mem3(X_1513,X_1512,X_1511,g_s268_263)
=> ( mem0(X_1513,g_s201_197)
& mem0(X_1512,g_s213_209)
& mem0(X_1511,g_s187_183) ) )
& ! [X_1514: $int,X_1515: $int,X_1516: $int,X_1517: $int] :
( ( mem3(X_1515,X_1514,X_1516,g_s268_263)
& mem3(X_1515,X_1514,X_1517,g_s268_263) )
=> ( X_1516 = X_1517 ) ) ) ).
tff('Define:ctx:28',axiom,
( ! [X_249: $int] :
( mem0(X_249,g_s88_88)
<=> ( ( X_249 = g_s89_89 )
| ( X_249 = g_s90_90 ) ) )
& ( g_s89_89 != g_s90_90 ) ) ).
tff('Define:ctx:280',axiom,
( ! [X_1518: $int,X_1519: $int,X_1520: $int] :
( mem3(X_1520,X_1519,X_1518,g_s269_264)
=> ( mem0(X_1520,g_s201_197)
& mem0(X_1519,g_s70_70)
& mem0(X_1518,g_s201_197) ) )
& ! [X_1521: $int,X_1522: $int,X_1523: $int,X_1524: $int] :
( ( mem3(X_1522,X_1521,X_1523,g_s269_264)
& mem3(X_1522,X_1521,X_1524,g_s269_264) )
=> ( X_1523 = X_1524 ) ) ) ).
tff('Define:ctx:281',axiom,
( ! [X_1525: $int,X_1526: $int,X_1527: $int] :
( mem3(X_1527,X_1526,X_1525,g_s270_265)
=> ( mem0(X_1527,g_s201_197)
& mem0(X_1526,g_s213_209)
& mem0(X_1525,g_s201_197) ) )
& ! [X_1528: $int,X_1529: $int,X_1530: $int,X_1531: $int] :
( ( mem3(X_1529,X_1528,X_1530,g_s270_265)
& mem3(X_1529,X_1528,X_1531,g_s270_265) )
=> ( X_1530 = X_1531 ) ) ) ).
tff('Define:ctx:282',axiom,
( ! [X_1532: $int,X_1533: $int,X_1534: $int] :
( mem3(X_1534,X_1533,X_1532,g_s271_266)
=> ( mem0(X_1534,g_s201_197)
& mem0(X_1533,g_s213_209)
& mem0(X_1532,g_s224_220) ) )
& ! [X_1535: $int,X_1536: $int,X_1537: $int,X_1538: $int] :
( ( mem3(X_1536,X_1535,X_1537,g_s271_266)
& mem3(X_1536,X_1535,X_1538,g_s271_266) )
=> ( X_1537 = X_1538 ) ) ) ).
tff('Define:ctx:283',axiom,
( ! [X_1539: $int,X_1540: $int,X_1541: $int] :
( mem3(X_1541,X_1540,X_1539,g_s272_267)
=> ( mem0(X_1541,g_s201_197)
& mem0(X_1540,g_s213_209)
& mem0(X_1539,g_s201_197) ) )
& ! [X_1542: $int,X_1543: $int,X_1544: $int,X_1545: $int] :
( ( mem3(X_1543,X_1542,X_1544,g_s272_267)
& mem3(X_1543,X_1542,X_1545,g_s272_267) )
=> ( X_1544 = X_1545 ) ) ) ).
tff('Define:ctx:284',axiom,
? [X_1546: set_3] :
( ! [X_1547: $int,X_1548: $int,X_1549: $int] :
( mem3(X_1549,X_1548,X_1547,X_1546)
<=> mem3(X_1549,X_1548,X_1547,g_s273_268) )
& ! [X_1550: $int,X_1551: $int,X_1552: $int,X_1553: $int] :
( ( mem3(X_1551,X_1550,X_1552,X_1546)
& mem3(X_1551,X_1550,X_1553,X_1546) )
=> ( X_1552 = X_1553 ) )
& ! [X_1554: $int,X_1555: $int] :
( ( mem0(X_1555,g_s201_197)
& mem0(X_1554,g_s213_209) )
<=> ? [X_1556: $int] : mem3(X_1555,X_1554,X_1556,X_1546) )
& ! [X_1557: $int] :
( ? [X_1558: $int,X_1559: $int] : mem3(X_1559,X_1558,X_1557,X_1546)
=> mem0(X_1557,g_s210_206) ) ) ).
tff('Define:ctx:285',axiom,
? [X_1560: set_3] :
( ! [X_1561: $int,X_1562: $int,X_1563: $int] :
( mem3(X_1563,X_1562,X_1561,X_1560)
<=> mem3(X_1563,X_1562,X_1561,g_s274_269) )
& ! [X_1564: $int,X_1565: $int,X_1566: $int,X_1567: $int] :
( ( mem3(X_1565,X_1564,X_1566,X_1560)
& mem3(X_1565,X_1564,X_1567,X_1560) )
=> ( X_1566 = X_1567 ) )
& ! [X_1568: $int,X_1569: $int] :
( ( mem0(X_1569,g_s201_197)
& mem0(X_1568,g_s213_209) )
<=> ? [X_1570: $int] : mem3(X_1569,X_1568,X_1570,X_1560) )
& ! [X_1571: $int] :
( ? [X_1572: $int,X_1573: $int] : mem3(X_1573,X_1572,X_1571,X_1560)
=> mem0(X_1571,g_s167_163) ) ) ).
tff('Define:ctx:286',axiom,
? [X_1574: set_3] :
( ! [X_1575: $int,X_1576: $int,X_1577: $int] :
( mem3(X_1577,X_1576,X_1575,X_1574)
<=> mem3(X_1577,X_1576,X_1575,g_s275_270) )
& ! [X_1578: $int,X_1579: $int,X_1580: $int,X_1581: $int] :
( ( mem3(X_1579,X_1578,X_1580,X_1574)
& mem3(X_1579,X_1578,X_1581,X_1574) )
=> ( X_1580 = X_1581 ) )
& ! [X_1582: $int,X_1583: $int] :
( ( mem0(X_1583,g_s201_197)
& mem0(X_1582,g_s213_209) )
<=> ? [X_1584: $int] : mem3(X_1583,X_1582,X_1584,X_1574) )
& ! [X_1585: $int] :
( ? [X_1586: $int,X_1587: $int] : mem3(X_1587,X_1586,X_1585,X_1574)
=> mem0(X_1585,g_s210_206) ) ) ).
tff('Define:ctx:287',axiom,
? [X_1588: set_3] :
( ! [X_1589: $int,X_1590: $int,X_1591: $int] :
( mem3(X_1591,X_1590,X_1589,X_1588)
<=> mem3(X_1591,X_1590,X_1589,g_s276_271) )
& ! [X_1592: $int,X_1593: $int,X_1594: $int,X_1595: $int] :
( ( mem3(X_1593,X_1592,X_1594,X_1588)
& mem3(X_1593,X_1592,X_1595,X_1588) )
=> ( X_1594 = X_1595 ) )
& ! [X_1596: $int,X_1597: $int] :
( ( mem0(X_1597,g_s201_197)
& mem0(X_1596,g_s213_209) )
<=> ? [X_1598: $int] : mem3(X_1597,X_1596,X_1598,X_1588) )
& ! [X_1599: $int] :
( ? [X_1600: $int,X_1601: $int] : mem3(X_1601,X_1600,X_1599,X_1588)
=> mem0(X_1599,g_s167_163) ) ) ).
tff('Define:ctx:288',axiom,
! [X_1602: $int,X_1603: $int] :
( ( ? [X_1604: $int] : mem3(X_1603,X_1602,X_1604,g_s270_265)
& ? [X_1605: $int] : mem3(X_1603,X_1602,X_1605,g_s268_263) )
<=> $false ) ).
tff('Define:ctx:289',axiom,
! [L_s277: $int,L_s278: $int,L_s279: $int] :
( ( mem0(L_s277,g_s201_197)
& mem0(L_s278,g_s213_209)
& mem0(L_s279,g_s213_209)
& ? [X_1606: $int] : mem3(L_s277,L_s278,X_1606,g_s271_266)
& ? [X_1607: $int] : mem3(L_s277,L_s279,X_1607,g_s271_266) )
=> ( L_s278 = L_s279 ) ) ).
tff('Define:ctx:29',axiom,
( ! [X_250: $int] :
( mem0(X_250,g_s91_91)
<=> ( ( X_250 = g_s92_92 )
| ( X_250 = g_s93_93 )
| ( X_250 = g_s94_94 ) ) )
& ( g_s92_92 != g_s93_93 )
& ( g_s93_93 != g_s94_94 ) ) ).
tff('Define:ctx:290',axiom,
! [X_1608: $int,X_1609: $int,X_1610: $int] :
( mem3(X_1610,X_1609,X_1608,g_s280_272)
=> ( mem0(X_1610,g_s201_197)
& mem0(X_1609,g_s213_209)
& mem0(X_1608,g_s201_197) ) ) ).
tff('Define:ctx:291',axiom,
? [X_1611: set_5] :
( ! [X_1612: set_0,X_1613: $int,X_1614: $int] :
( mem5(X_1614,X_1613,X_1612,X_1611)
<=> mem5(X_1614,X_1613,X_1612,g_s281_273) )
& ! [X_1615: $int,X_1616: $int,X_1617: set_0,X_1618: set_0] :
( ( mem5(X_1616,X_1615,X_1617,X_1611)
& mem5(X_1616,X_1615,X_1618,X_1611) )
=> ! [X_1619: $int] :
( mem0(X_1619,X_1617)
<=> mem0(X_1619,X_1618) ) )
& ! [X_1620: $int,X_1621: $int] :
( ( mem0(X_1621,g_s201_197)
& mem0(X_1620,g_s213_209) )
<=> ? [X_1622: set_0] : mem5(X_1621,X_1620,X_1622,X_1611) )
& ! [X_1623: set_0] :
( ? [X_1624: $int,X_1625: $int] : mem5(X_1625,X_1624,X_1623,X_1611)
=> ! [X_1626: $int] :
( mem0(X_1626,X_1623)
=> mem0(X_1626,g_s207_203) ) ) ) ).
tff('Define:ctx:292',axiom,
? [X_1627: $int,X_1628: set_2] :
( ! [X_1629: $int,X_1630: $int] :
( mem2(X_1630,X_1629,X_1628)
<=> mem2(X_1630,X_1629,g_s282_274) )
& ! [X_1631: $int,X_1632: $int,X_1633: $int] :
( ( mem2(X_1631,X_1632,X_1628)
& mem2(X_1631,X_1633,X_1628) )
=> ( X_1632 = X_1633 ) )
& ! [X_1634: $int] :
( ( $greatereq(X_1634,1)
& $lesseq(X_1634,X_1627) )
<=> ? [X_1635: $int] : mem2(X_1634,X_1635,X_1628) )
& ! [X_1636: $int] :
( ? [X_1637: $int] : mem2(X_1637,X_1636,X_1628)
=> mem0(X_1636,g_s201_197) ) ) ).
tff('Define:ctx:293',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1638: $int] :
( ? [X_1639: $int,X_1640: $int] :
( ( X_1640 = L_s248 )
& ( X_1639 = L_s283 )
& mem3(X_1640,X_1639,X_1638,g_s280_272) )
<=> ? [X_1641: $int] :
( ! [X_1642: set_0] :
( mem5(L_s248,L_s283,X_1642,g_s281_273)
=> mem0(X_1641,X_1642) )
& mem2(X_1641,X_1638,g_s282_274) ) ) ) ).
tff('Define:ctx:294',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1643: $int] :
( ! [X_1644: set_0] :
( mem5(L_s248,L_s283,X_1644,g_s281_273)
=> mem0(X_1643,X_1644) )
=> ? [X_1645: $int] : mem2(X_1643,X_1645,g_s282_274) ) ) ).
tff('Define:ctx:295',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ( ! [X_1646: $int,X_1647: $int] :
( ( mem2(X_1647,X_1646,g_s282_274)
& ! [X_1648: set_0] :
( mem5(L_s248,L_s283,X_1648,g_s281_273)
=> mem0(X_1647,X_1648) ) )
=> ( $greatereq(X_1647,0)
& mem0(X_1646,g_s201_197) ) )
& ! [X_1649: $int,X_1650: $int,X_1651: $int] :
( ( mem2(X_1649,X_1650,g_s282_274)
& ! [X_1652: set_0] :
( mem5(L_s248,L_s283,X_1652,g_s281_273)
=> mem0(X_1649,X_1652) )
& mem2(X_1649,X_1651,g_s282_274)
& ! [X_1653: set_0] :
( mem5(L_s248,L_s283,X_1653,g_s281_273)
=> mem0(X_1649,X_1653) ) )
=> ( X_1650 = X_1651 ) )
& ! [X_1654: $int,X_1655: $int,X_1656: $int] :
( ( mem2(X_1655,X_1654,g_s282_274)
& ! [X_1657: set_0] :
( mem5(L_s248,L_s283,X_1657,g_s281_273)
=> mem0(X_1655,X_1657) )
& mem2(X_1656,X_1654,g_s282_274)
& ! [X_1658: set_0] :
( mem5(L_s248,L_s283,X_1658,g_s281_273)
=> mem0(X_1656,X_1658) ) )
=> ( X_1655 = X_1656 ) ) ) ) ).
tff('Define:ctx:296',axiom,
! [L_s248: $int,L_s283: $int] :
( ( ~ ! [X_1659: set_0] :
( ! [X_1660: $int] :
( mem0(X_1660,X_1659)
<=> $false )
=> mem5(L_s248,L_s283,X_1659,g_s281_273) )
& mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1661: set_0] :
( ! [X_1662: $int] :
( mem0(X_1662,X_1661)
<=> ! [X_1663: $int,X_1664: $int] :
( ( ! [X_1666: set_0] :
( mem5(L_s248,L_s283,X_1666,g_s281_273)
=> mem0(X_1663,X_1666) )
& ! [X_1665: $int] :
( ! [X_1667: set_0] :
( mem5(L_s248,L_s283,X_1667,g_s281_273)
=> mem0(X_1665,X_1667) )
=> $lesseq(X_1663,X_1665) )
& ! [X_1669: set_0] :
( mem5(L_s248,L_s283,X_1669,g_s281_273)
=> mem0(X_1664,X_1669) )
& ! [X_1668: $int] :
( ! [X_1670: set_0] :
( mem5(L_s248,L_s283,X_1670,g_s281_273)
=> mem0(X_1668,X_1670) )
=> $greatereq(X_1664,X_1668) ) )
=> ( $greatereq(X_1662,X_1663)
& $lesseq(X_1662,X_1664) ) ) )
=> mem5(L_s248,L_s283,X_1661,g_s281_273) ) ) ).
tff('Define:ctx:297',axiom,
! [X_1671: $int,X_1672: $int,X_1673: $int] :
( mem3(X_1673,X_1672,X_1671,g_s284_275)
=> ( mem0(X_1673,g_s201_197)
& mem0(X_1672,g_s213_209)
& mem0(X_1671,g_s285_276) ) ) ).
tff('Define:ctx:298',axiom,
? [X_1674: set_5] :
( ! [X_1675: set_0,X_1676: $int,X_1677: $int] :
( mem5(X_1677,X_1676,X_1675,X_1674)
<=> mem5(X_1677,X_1676,X_1675,g_s286_277) )
& ! [X_1678: $int,X_1679: $int,X_1680: set_0,X_1681: set_0] :
( ( mem5(X_1679,X_1678,X_1680,X_1674)
& mem5(X_1679,X_1678,X_1681,X_1674) )
=> ! [X_1682: $int] :
( mem0(X_1682,X_1680)
<=> mem0(X_1682,X_1681) ) )
& ! [X_1683: $int,X_1684: $int] :
( ( mem0(X_1684,g_s201_197)
& mem0(X_1683,g_s213_209) )
<=> ? [X_1685: set_0] : mem5(X_1684,X_1683,X_1685,X_1674) )
& ! [X_1686: set_0] :
( ? [X_1687: $int,X_1688: $int] : mem5(X_1688,X_1687,X_1686,X_1674)
=> ! [X_1689: $int] :
( mem0(X_1689,X_1686)
=> mem0(X_1689,g_s209_205) ) ) ) ).
tff('Define:ctx:299',axiom,
? [X_1690: $int,X_1691: set_2] :
( ! [X_1692: $int,X_1693: $int] :
( mem2(X_1693,X_1692,X_1691)
<=> mem2(X_1693,X_1692,g_s287_278) )
& ! [X_1694: $int,X_1695: $int,X_1696: $int] :
( ( mem2(X_1694,X_1695,X_1691)
& mem2(X_1694,X_1696,X_1691) )
=> ( X_1695 = X_1696 ) )
& ! [X_1697: $int] :
( ( $greatereq(X_1697,1)
& $lesseq(X_1697,X_1690) )
<=> ? [X_1698: $int] : mem2(X_1697,X_1698,X_1691) )
& ! [X_1699: $int] :
( ? [X_1700: $int] : mem2(X_1700,X_1699,X_1691)
=> mem0(X_1699,g_s285_276) ) ) ).
tff('Define:ctx:3',axiom,
( ~ ! [X_62: $int] :
( mem0(X_62,g_s3_3)
<=> $false )
& ! [X_65: $int] :
( mem0(X_65,g_s3_3)
=> $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_s3_3) ) )
& ! [X_76: $int] :
( mem0(X_76,g_s3_3)
=> ? [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:30',axiom,
( ~ ! [X_251: $int] :
( mem0(X_251,g_s95_95)
<=> $false )
& ! [X_254: $int] :
( mem0(X_254,g_s95_95)
=> $true )
& ? [X_252: $int,X_253: set_2] :
( ? [X_255: set_2] :
( ! [X_256: $int,X_257: $int] :
( mem2(X_257,X_256,X_255)
<=> mem2(X_257,X_256,X_253) )
& ! [X_258: $int,X_259: $int,X_260: $int] :
( ( mem2(X_258,X_259,X_255)
& mem2(X_258,X_260,X_255) )
=> ( X_259 = X_260 ) )
& ! [X_261: $int] :
( ( $greatereq(X_261,1)
& $lesseq(X_261,X_252) )
<=> ? [X_262: $int] : mem2(X_261,X_262,X_255) )
& ! [X_263: $int] :
( ? [X_264: $int] : mem2(X_264,X_263,X_255)
=> mem0(X_263,g_s95_95) ) )
& ! [X_265: $int] :
( mem0(X_265,g_s95_95)
=> ? [X_266: $int] : mem2(X_266,X_265,X_253) )
& ! [X_267: $int,X_268: $int,X_269: $int] :
( ( mem2(X_268,X_267,X_253)
& mem2(X_269,X_267,X_253) )
=> ( X_268 = X_269 ) ) ) ) ).
tff('Define:ctx:300',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1701: $int] :
( ? [X_1702: $int,X_1703: $int] :
( ( X_1703 = L_s248 )
& ( X_1702 = L_s283 )
& mem3(X_1703,X_1702,X_1701,g_s284_275) )
<=> ? [X_1704: $int] :
( ! [X_1705: set_0] :
( mem5(L_s248,L_s283,X_1705,g_s286_277)
=> mem0(X_1704,X_1705) )
& mem2(X_1704,X_1701,g_s287_278) ) ) ) ).
tff('Define:ctx:301',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1706: $int] :
( ! [X_1707: set_0] :
( mem5(L_s248,L_s283,X_1707,g_s286_277)
=> mem0(X_1706,X_1707) )
=> ? [X_1708: $int] : mem2(X_1706,X_1708,g_s287_278) ) ) ).
tff('Define:ctx:302',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ( ! [X_1709: $int,X_1710: $int] :
( ( mem2(X_1710,X_1709,g_s287_278)
& ! [X_1711: set_0] :
( mem5(L_s248,L_s283,X_1711,g_s286_277)
=> mem0(X_1710,X_1711) ) )
=> ( $greatereq(X_1710,0)
& mem0(X_1709,g_s285_276) ) )
& ! [X_1712: $int,X_1713: $int,X_1714: $int] :
( ( mem2(X_1712,X_1713,g_s287_278)
& ! [X_1715: set_0] :
( mem5(L_s248,L_s283,X_1715,g_s286_277)
=> mem0(X_1712,X_1715) )
& mem2(X_1712,X_1714,g_s287_278)
& ! [X_1716: set_0] :
( mem5(L_s248,L_s283,X_1716,g_s286_277)
=> mem0(X_1712,X_1716) ) )
=> ( X_1713 = X_1714 ) )
& ! [X_1717: $int,X_1718: $int,X_1719: $int] :
( ( mem2(X_1718,X_1717,g_s287_278)
& ! [X_1720: set_0] :
( mem5(L_s248,L_s283,X_1720,g_s286_277)
=> mem0(X_1718,X_1720) )
& mem2(X_1719,X_1717,g_s287_278)
& ! [X_1721: set_0] :
( mem5(L_s248,L_s283,X_1721,g_s286_277)
=> mem0(X_1719,X_1721) ) )
=> ( X_1718 = X_1719 ) ) ) ) ).
tff('Define:ctx:303',axiom,
! [L_s248: $int,L_s283: $int] :
( ( ~ ! [X_1722: set_0] :
( ! [X_1723: $int] :
( mem0(X_1723,X_1722)
<=> $false )
=> mem5(L_s248,L_s283,X_1722,g_s286_277) )
& mem0(L_s248,g_s201_197)
& mem0(L_s283,g_s213_209) )
=> ! [X_1724: set_0] :
( ! [X_1725: $int] :
( mem0(X_1725,X_1724)
<=> ! [X_1726: $int,X_1727: $int] :
( ( ! [X_1729: set_0] :
( mem5(L_s248,L_s283,X_1729,g_s286_277)
=> mem0(X_1726,X_1729) )
& ! [X_1728: $int] :
( ! [X_1730: set_0] :
( mem5(L_s248,L_s283,X_1730,g_s286_277)
=> mem0(X_1728,X_1730) )
=> $lesseq(X_1726,X_1728) )
& ! [X_1732: set_0] :
( mem5(L_s248,L_s283,X_1732,g_s286_277)
=> mem0(X_1727,X_1732) )
& ! [X_1731: $int] :
( ! [X_1733: set_0] :
( mem5(L_s248,L_s283,X_1733,g_s286_277)
=> mem0(X_1731,X_1733) )
=> $greatereq(X_1727,X_1731) ) )
=> ( $greatereq(X_1725,X_1726)
& $lesseq(X_1725,X_1727) ) ) )
=> mem5(L_s248,L_s283,X_1724,g_s286_277) ) ) ).
tff('Define:ctx:304',axiom,
! [X_1734: $int] :
( mem0(X_1734,g_s288_279)
=> mem0(X_1734,g_s201_197) ) ).
tff('Define:ctx:305',axiom,
( ! [X_1735: $int,X_1736: $int,X_1737: $int] :
( mem3(X_1737,X_1736,X_1735,g_s289_280)
=> ( mem0(X_1737,g_s201_197)
& mem0(X_1736,g_s201_197)
& mem0(X_1735,g_s213_209) ) )
& ! [X_1738: $int,X_1739: $int,X_1740: $int,X_1741: $int] :
( ( mem3(X_1739,X_1738,X_1740,g_s289_280)
& mem3(X_1739,X_1738,X_1741,g_s289_280) )
=> ( X_1740 = X_1741 ) ) ) ).
tff('Define:ctx:306',axiom,
! [X_1742: $int,X_1743: $int] :
( mem2(X_1743,X_1742,g_s290_281)
=> ( mem0(X_1743,g_s201_197)
& mem0(X_1742,g_s201_197) ) ) ).
tff('Define:ctx:307',axiom,
? [X_1744: set_7] :
( ! [X_1745: set_2,X_1746: $int] :
( mem7(X_1746,X_1745,X_1744)
<=> mem7(X_1746,X_1745,g_s291_282) )
& ! [X_1747: $int,X_1748: set_2,X_1749: set_2] :
( ( mem7(X_1747,X_1748,X_1744)
& mem7(X_1747,X_1749,X_1744) )
=> ! [X_1750: $int,X_1751: $int] :
( mem2(X_1751,X_1750,X_1748)
<=> mem2(X_1751,X_1750,X_1749) ) )
& ! [X_1752: $int] :
( mem0(X_1752,g_s201_197)
<=> ? [X_1753: set_2] : mem7(X_1752,X_1753,X_1744) )
& ! [X_1754: set_2] :
( ? [X_1755: $int] : mem7(X_1755,X_1754,X_1744)
=> ! [X_1756: $int,X_1757: $int] :
( mem2(X_1757,X_1756,X_1754)
=> ( mem0(X_1757,g_s201_197)
& mem0(X_1756,g_s201_197) ) ) ) ) ).
tff('Define:ctx:308',axiom,
? [X_1758: set_7] :
( ! [X_1759: set_2,X_1760: $int] :
( mem7(X_1760,X_1759,X_1758)
<=> mem7(X_1760,X_1759,g_s292_283) )
& ! [X_1761: $int,X_1762: set_2,X_1763: set_2] :
( ( mem7(X_1761,X_1762,X_1758)
& mem7(X_1761,X_1763,X_1758) )
=> ! [X_1764: $int,X_1765: $int] :
( mem2(X_1765,X_1764,X_1762)
<=> mem2(X_1765,X_1764,X_1763) ) )
& ! [X_1766: $int] :
( mem0(X_1766,g_s201_197)
<=> ? [X_1767: set_2] : mem7(X_1766,X_1767,X_1758) )
& ! [X_1768: set_2] :
( ? [X_1769: $int] : mem7(X_1769,X_1768,X_1758)
=> ( ! [X_1770: $int,X_1771: $int] :
( mem2(X_1771,X_1770,X_1768)
=> ( mem0(X_1771,g_s201_197)
& mem0(X_1770,g_s201_197) ) )
& ! [X_1772: $int,X_1773: $int,X_1774: $int] :
( ( mem2(X_1772,X_1773,X_1768)
& mem2(X_1772,X_1774,X_1768) )
=> ( X_1773 = X_1774 ) ) ) ) ) ).
tff('Define:ctx:309',axiom,
? [X_1775: set_2] :
( ! [X_1776: $int,X_1777: $int] :
( mem2(X_1777,X_1776,X_1775)
<=> mem2(X_1777,X_1776,g_s293_284) )
& ! [X_1778: $int,X_1779: $int,X_1780: $int] :
( ( mem2(X_1778,X_1779,X_1775)
& mem2(X_1778,X_1780,X_1775) )
=> ( X_1779 = X_1780 ) )
& ! [X_1781: $int] :
( mem0(X_1781,g_s204_200)
<=> ? [X_1782: $int] : mem2(X_1781,X_1782,X_1775) )
& ! [X_1783: $int] :
( ? [X_1784: $int] : mem2(X_1784,X_1783,X_1775)
=> mem0(X_1783,g_s201_197) ) ) ).
tff('Define:ctx:31',axiom,
( ~ ! [X_270: $int] :
( mem0(X_270,g_s96_96)
<=> $false )
& ! [X_273: $int] :
( mem0(X_273,g_s96_96)
=> $true )
& ? [X_271: $int,X_272: set_2] :
( ? [X_274: set_2] :
( ! [X_275: $int,X_276: $int] :
( mem2(X_276,X_275,X_274)
<=> mem2(X_276,X_275,X_272) )
& ! [X_277: $int,X_278: $int,X_279: $int] :
( ( mem2(X_277,X_278,X_274)
& mem2(X_277,X_279,X_274) )
=> ( X_278 = X_279 ) )
& ! [X_280: $int] :
( ( $greatereq(X_280,1)
& $lesseq(X_280,X_271) )
<=> ? [X_281: $int] : mem2(X_280,X_281,X_274) )
& ! [X_282: $int] :
( ? [X_283: $int] : mem2(X_283,X_282,X_274)
=> mem0(X_282,g_s96_96) ) )
& ! [X_284: $int] :
( mem0(X_284,g_s96_96)
=> ? [X_285: $int] : mem2(X_285,X_284,X_272) )
& ! [X_286: $int,X_287: $int,X_288: $int] :
( ( mem2(X_287,X_286,X_272)
& mem2(X_288,X_286,X_272) )
=> ( X_287 = X_288 ) ) ) ) ).
tff('Define:ctx:310',axiom,
? [X_1785: set_2] :
( ! [X_1786: $int,X_1787: $int] :
( mem2(X_1787,X_1786,X_1785)
<=> mem2(X_1787,X_1786,g_s294_285) )
& ! [X_1788: $int,X_1789: $int,X_1790: $int] :
( ( mem2(X_1788,X_1789,X_1785)
& mem2(X_1788,X_1790,X_1785) )
=> ( X_1789 = X_1790 ) )
& ! [X_1791: $int] :
( mem0(X_1791,g_s204_200)
<=> ? [X_1792: $int] : mem2(X_1791,X_1792,X_1785) )
& ! [X_1793: $int] :
( ? [X_1794: $int] : mem2(X_1794,X_1793,X_1785)
=> mem0(X_1793,g_s201_197) ) ) ).
tff('Define:ctx:311',axiom,
? [X_1795: set_2] :
( ! [X_1796: $int,X_1797: $int] :
( mem2(X_1797,X_1796,X_1795)
<=> mem2(X_1797,X_1796,g_s295_286) )
& ! [X_1798: $int,X_1799: $int,X_1800: $int] :
( ( mem2(X_1798,X_1799,X_1795)
& mem2(X_1798,X_1800,X_1795) )
=> ( X_1799 = X_1800 ) )
& ! [X_1801: $int] :
( mem0(X_1801,g_s204_200)
<=> ? [X_1802: $int] : mem2(X_1801,X_1802,X_1795) )
& ! [X_1803: $int] :
( ? [X_1804: $int] : mem2(X_1804,X_1803,X_1795)
=> mem0(X_1803,g_s213_209) ) ) ).
tff('Define:ctx:312',axiom,
( ! [X_1805: $int,X_1806: $int] :
( mem2(X_1806,X_1805,g_s296_287)
=> ( mem0(X_1806,g_s204_200)
& mem0(X_1805,g_s297_288) ) )
& ! [X_1807: $int,X_1808: $int,X_1809: $int] :
( ( mem2(X_1807,X_1808,g_s296_287)
& mem2(X_1807,X_1809,g_s296_287) )
=> ( X_1808 = X_1809 ) ) ) ).
tff('Define:ctx:313',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s298,g_s201_197)
& mem0(L_s299,g_s201_197)
& ? [X_1810: $int] : mem3(L_s298,L_s299,X_1810,g_s289_280) )
=> ( ? [X_1811: $int] : mem3(L_s299,L_s298,X_1811,g_s289_280)
& ! [X_1812: $int,X_1813: $int] :
( ( mem3(L_s298,L_s299,X_1812,g_s289_280)
& mem3(L_s299,L_s298,X_1813,g_s289_280) )
=> mem2(X_1812,X_1813,g_s214_210) ) ) ) ).
tff('Define:ctx:314',axiom,
! [X_1814: $int,X_1815: $int] :
( mem2(X_1814,X_1815,g_s290_281)
<=> mem2(X_1815,X_1814,g_s290_281) ) ).
tff('Define:ctx:315',axiom,
! [X_1816: $int,X_1817: $int] :
( ( mem2(X_1817,X_1816,g_s290_281)
& ( X_1817 = X_1816 )
& mem0(X_1817,g_s201_197) )
<=> $false ) ).
tff('Define:ctx:316',axiom,
! [X_1818: $int,X_1819: $int] :
( mem2(X_1819,X_1818,g_s290_281)
=> ? [X_1820: $int] : mem3(X_1819,X_1818,X_1820,g_s289_280) ) ).
tff('Define:ctx:317',axiom,
( ? [X_1821: set_8] :
( ! [X_1822: $int,X_1823: $int,X_1824: $int] :
( mem8(X_1824,X_1823,X_1822,X_1821)
<=> ( mem2(X_1824,X_1823,g_s293_284)
& mem2(X_1824,X_1822,g_s294_285) ) )
& ! [X_1825: $int,X_1826: $int,X_1827: $int,X_1828: $int,X_1829: $int] :
( ( mem8(X_1825,X_1827,X_1826,X_1821)
& mem8(X_1825,X_1829,X_1828,X_1821) )
=> ( ( X_1827 = X_1829 )
& ( X_1826 = X_1828 ) ) )
& ! [X_1830: $int] :
( mem0(X_1830,g_s204_200)
<=> ? [X_1831: $int,X_1832: $int] : mem8(X_1830,X_1832,X_1831,X_1821) )
& ! [X_1833: $int,X_1834: $int] :
( ? [X_1835: $int] : mem8(X_1835,X_1834,X_1833,X_1821)
=> mem2(X_1834,X_1833,g_s290_281) ) )
& ! [X_1836: $int,X_1837: $int] :
( mem2(X_1837,X_1836,g_s290_281)
=> ? [X_1838: $int] :
( mem2(X_1838,X_1837,g_s293_284)
& mem2(X_1838,X_1836,g_s294_285) ) )
& ! [X_1839: $int,X_1840: $int,X_1841: $int,X_1842: $int] :
( ( mem2(X_1841,X_1840,g_s293_284)
& mem2(X_1841,X_1839,g_s294_285)
& mem2(X_1842,X_1840,g_s293_284)
& mem2(X_1842,X_1839,g_s294_285) )
=> ( X_1841 = X_1842 ) ) ) ).
tff('Define:ctx:318',axiom,
? [X_1843: set_7] :
( ! [X_1844: set_2,X_1845: $int] :
( mem7(X_1845,X_1844,X_1843)
<=> mem7(X_1845,X_1844,g_s291_282) )
& ! [X_1846: $int,X_1847: set_2,X_1848: set_2] :
( ( mem7(X_1846,X_1847,X_1843)
& mem7(X_1846,X_1848,X_1843) )
=> ! [X_1849: $int,X_1850: $int] :
( mem2(X_1850,X_1849,X_1847)
<=> mem2(X_1850,X_1849,X_1848) ) )
& ! [X_1851: $int] :
( mem0(X_1851,g_s201_197)
<=> ? [X_1852: set_2] : mem7(X_1851,X_1852,X_1843) )
& ! [X_1853: set_2] :
( ? [X_1854: $int] : mem7(X_1854,X_1853,X_1843)
=> ! [X_1855: $int,X_1856: $int] :
( mem2(X_1856,X_1855,X_1853)
=> ( mem0(X_1856,g_s288_279)
& mem0(X_1855,g_s288_279) ) ) ) ) ).
tff('Define:ctx:319',axiom,
? [X_1857: set_7] :
( ! [X_1858: set_2,X_1859: $int] :
( mem7(X_1859,X_1858,X_1857)
<=> mem7(X_1859,X_1858,g_s292_283) )
& ! [X_1860: $int,X_1861: set_2,X_1862: set_2] :
( ( mem7(X_1860,X_1861,X_1857)
& mem7(X_1860,X_1862,X_1857) )
=> ! [X_1863: $int,X_1864: $int] :
( mem2(X_1864,X_1863,X_1861)
<=> mem2(X_1864,X_1863,X_1862) ) )
& ! [X_1865: $int] :
( mem0(X_1865,g_s201_197)
<=> ? [X_1866: set_2] : mem7(X_1865,X_1866,X_1857) )
& ! [X_1867: set_2] :
( ? [X_1868: $int] : mem7(X_1868,X_1867,X_1857)
=> ( ! [X_1869: $int,X_1870: $int] :
( mem2(X_1870,X_1869,X_1867)
=> ( mem0(X_1870,g_s288_279)
& mem0(X_1869,g_s201_197) ) )
& ! [X_1871: $int,X_1872: $int,X_1873: $int] :
( ( mem2(X_1871,X_1872,X_1867)
& mem2(X_1871,X_1873,X_1867) )
=> ( X_1872 = X_1873 ) ) ) ) ) ).
tff('Define:ctx:32',axiom,
( ~ ! [X_289: $int] :
( mem0(X_289,g_s97_97)
<=> $false )
& ! [X_292: $int] :
( mem0(X_292,g_s97_97)
=> $true )
& ? [X_290: $int,X_291: set_2] :
( ? [X_293: set_2] :
( ! [X_294: $int,X_295: $int] :
( mem2(X_295,X_294,X_293)
<=> mem2(X_295,X_294,X_291) )
& ! [X_296: $int,X_297: $int,X_298: $int] :
( ( mem2(X_296,X_297,X_293)
& mem2(X_296,X_298,X_293) )
=> ( X_297 = X_298 ) )
& ! [X_299: $int] :
( ( $greatereq(X_299,1)
& $lesseq(X_299,X_290) )
<=> ? [X_300: $int] : mem2(X_299,X_300,X_293) )
& ! [X_301: $int] :
( ? [X_302: $int] : mem2(X_302,X_301,X_293)
=> mem0(X_301,g_s97_97) ) )
& ! [X_303: $int] :
( mem0(X_303,g_s97_97)
=> ? [X_304: $int] : mem2(X_304,X_303,X_291) )
& ! [X_305: $int,X_306: $int,X_307: $int] :
( ( mem2(X_306,X_305,X_291)
& mem2(X_307,X_305,X_291) )
=> ( X_306 = X_307 ) ) ) ) ).
tff('Define:ctx:320',axiom,
! [X_1874: set_2,X_1875: $int] :
( mem7(X_1875,X_1874,g_s291_282)
<=> ( mem0(X_1875,g_s201_197)
& ! [X_1876: $int,X_1877: $int] :
( mem2(X_1877,X_1876,X_1874)
<=> ( ? [X_1878: $int] :
( $greatereq(X_1878,0)
& ! [X_1879: set_2] :
( mem7(X_1875,X_1879,g_s292_283)
=> mem_it0(X_1877,X_1876,X_1879,X_1878) ) )
& ( X_1876 != X_1875 ) ) ) ) ) ).
tff('Define:ctx:321',axiom,
! [L_s277: $int] :
( mem0(L_s277,g_s201_197)
=> ( ~ ? [X_1883: $int] :
! [X_1884: set_2] :
( mem7(L_s277,X_1884,g_s291_282)
=> mem2(L_s277,X_1883,X_1884) )
& ~ ? [X_1885: $int] :
! [X_1886: set_2] :
( mem7(L_s277,X_1886,g_s291_282)
=> mem2(X_1885,L_s277,X_1886) )
& ! [X_1887: $int,X_1888: $int] :
( ( ( X_1888 = X_1887 )
& ? [X_1889: $int] :
! [X_1890: set_2] :
( mem7(L_s277,X_1890,g_s291_282)
=> mem2(X_1888,X_1889,X_1890) ) )
=> ! [X_1891: set_2] :
( mem7(L_s277,X_1891,g_s291_282)
=> mem2(X_1888,X_1887,X_1891) ) ) ) ) ).
tff('Define:ctx:322',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& ? [X_1892: $int] :
! [X_1893: set_2] :
( mem7(L_s299,X_1893,g_s291_282)
=> mem2(L_s298,X_1892,X_1893) ) )
=> ? [X_1894: $int] : mem3(L_s298,L_s299,X_1894,g_s289_280) ) ).
tff('Define:ctx:323',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s298,g_s288_279)
& ? [X_1895: $int] : mem3(L_s298,L_s299,X_1895,g_s289_280) )
=> ? [X_1896: $int] :
! [X_1897: set_2] :
( mem7(L_s299,X_1897,g_s291_282)
=> mem2(L_s298,X_1896,X_1897) ) ) ).
tff('Define:ctx:324',axiom,
! [L_s299: $int,L_s298: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& mem0(L_s298,g_s288_279) )
=> ~ ? [X_1898: $int] :
( ( X_1898 = L_s298 )
& ? [X_1899: $int] :
( $greatereq(X_1899,1)
& ! [X_1900: set_2] :
( mem7(L_s299,X_1900,g_s292_283)
=> mem_it0(X_1898,L_s298,X_1900,X_1899) ) ) ) ) ).
tff('Define:ctx:325',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& mem0(L_s298,g_s288_279)
& ? [X_1901: $int] : mem3(L_s298,L_s299,X_1901,g_s289_280) )
=> ? [X_1902: $int] :
! [X_1903: set_2] :
( mem7(L_s299,X_1903,g_s292_283)
=> mem2(L_s298,X_1902,X_1903) ) ) ).
tff('Define:ctx:326',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& ? [X_1904: $int] :
! [X_1905: set_2] :
( mem7(L_s299,X_1905,g_s292_283)
=> mem2(L_s298,X_1904,X_1905) ) )
=> ? [X_1906: $int] : mem3(L_s298,L_s299,X_1906,g_s289_280) ) ).
tff('Define:ctx:327',axiom,
! [L_s277: $int] :
( mem0(L_s277,g_s201_197)
=> ~ ? [X_1907: $int] :
! [X_1908: set_2] :
( mem7(L_s277,X_1908,g_s292_283)
=> mem2(L_s277,X_1907,X_1908) ) ) ).
tff('Define:ctx:328',axiom,
! [L_s277: $int] :
( mem0(L_s277,g_s201_197)
=> ! [X_1909: $int] :
( ( ? [X_1910: $int] :
! [X_1911: set_2] :
( mem7(L_s277,X_1911,g_s292_283)
=> mem2(X_1910,X_1909,X_1911) )
& ( X_1909 != L_s277 ) )
=> ? [X_1912: $int] :
! [X_1913: set_2] :
( mem7(L_s277,X_1913,g_s292_283)
=> mem2(X_1909,X_1912,X_1913) ) ) ) ).
tff('Define:ctx:329',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& ? [X_1914: $int] :
! [X_1915: set_2] :
( mem7(L_s299,X_1915,g_s292_283)
=> mem2(L_s298,X_1914,X_1915) ) )
=> ~ ! [X_1916: set_2] :
( mem7(L_s299,X_1916,g_s292_283)
=> mem2(L_s298,L_s298,X_1916) ) ) ).
tff('Define:ctx:33',axiom,
( ! [X_308: $int] :
( mem0(X_308,g_s98_98)
<=> ( ( X_308 = g_s99_99 )
| ( X_308 = g_s100_100 )
| ( X_308 = g_s101_101 )
| ( X_308 = g_s102_102 )
| ( X_308 = g_s103_103 )
| ( X_308 = g_s104_104 )
| ( X_308 = g_s105_105 )
| ( X_308 = g_s106_106 )
| ( X_308 = g_s107_107 ) ) )
& ( g_s99_99 != g_s100_100 )
& ( g_s100_100 != g_s101_101 )
& ( g_s101_101 != g_s102_102 )
& ( g_s102_102 != g_s103_103 )
& ( g_s103_103 != g_s104_104 )
& ( g_s104_104 != g_s105_105 )
& ( g_s105_105 != g_s106_106 )
& ( g_s106_106 != g_s107_107 ) ) ).
tff('Define:ctx:330',axiom,
! [L_s277: $int] :
( mem0(L_s277,g_s201_197)
=> ( ! [X_1917: $int] :
( ( ? [X_1918: $int] :
! [X_1919: set_2] :
( mem7(L_s277,X_1919,g_s292_283)
=> mem2(X_1918,X_1917,X_1919) )
& ( X_1917 != L_s277 ) )
=> ? [X_1920: $int] :
! [X_1921: set_2] :
( mem7(L_s277,X_1921,g_s292_283)
=> mem2(X_1917,X_1920,X_1921) ) )
& ~ ? [X_1922: $int] :
! [X_1923: set_2] :
( mem7(L_s277,X_1923,g_s292_283)
=> mem2(L_s277,X_1922,X_1923) )
& ? [X_1924: $int] :
! [X_1925: set_2] :
( mem7(L_s277,X_1925,g_s292_283)
=> mem2(X_1924,L_s277,X_1925) ) ) ) ).
tff('Define:ctx:331',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& ? [X_1926: $int] :
! [X_1927: set_2] :
( mem7(L_s299,X_1927,g_s292_283)
=> mem2(L_s298,X_1926,X_1927) )
& ~ ! [X_1928: set_2] :
( mem7(L_s299,X_1928,g_s292_283)
=> mem2(L_s298,L_s299,X_1928) ) )
=> ( ! [X_1929: $int] :
( ! [X_1930: set_2] :
( mem7(L_s299,X_1930,g_s292_283)
=> mem2(L_s298,X_1929,X_1930) )
=> mem0(X_1929,g_s288_279) )
& ! [X_1931: $int] :
( ( ? [X_1932: $int] :
( ( X_1932 = L_s298 )
& ? [X_1933: $int] :
( $greatereq(X_1933,0)
& ! [X_1934: set_2] :
( mem7(L_s299,X_1934,g_s292_283)
=> mem_it0(X_1932,X_1931,X_1934,X_1933) ) ) )
& ( X_1931 != L_s298 ) )
<=> ? [X_1935: $int] :
( ! [X_1936: set_2] :
( mem7(L_s299,X_1936,g_s292_283)
=> mem2(L_s298,X_1935,X_1936) )
& ? [X_1937: $int] :
( $greatereq(X_1937,0)
& ! [X_1938: set_2] :
( mem7(L_s299,X_1938,g_s292_283)
=> mem_it0(X_1935,X_1931,X_1938,X_1937) ) ) ) ) ) ) ).
tff('Define:ctx:332',axiom,
! [X_1939: $int,X_1940: $int] :
( mem2(X_1940,X_1939,g_s300_289)
=> ( mem0(X_1940,g_s201_197)
& mem0(X_1939,g_s198_194) ) ) ).
tff('Define:ctx:333',axiom,
? [X_1941: set_6] :
( ! [X_1942: set_0,X_1943: $int] :
( mem6(X_1943,X_1942,X_1941)
<=> mem6(X_1943,X_1942,g_s301_290) )
& ! [X_1944: $int,X_1945: set_0,X_1946: set_0] :
( ( mem6(X_1944,X_1945,X_1941)
& mem6(X_1944,X_1946,X_1941) )
=> ! [X_1947: $int] :
( mem0(X_1947,X_1945)
<=> mem0(X_1947,X_1946) ) )
& ! [X_1948: $int] :
( mem0(X_1948,g_s201_197)
<=> ? [X_1949: set_0] : mem6(X_1948,X_1949,X_1941) )
& ! [X_1950: set_0] :
( ? [X_1951: $int] : mem6(X_1951,X_1950,X_1941)
=> ! [X_1952: $int] :
( mem0(X_1952,X_1950)
=> mem0(X_1952,g_s207_203) ) ) ) ).
tff('Define:ctx:334',axiom,
? [X_1953: $int,X_1954: set_2] :
( ! [X_1955: $int,X_1956: $int] :
( mem2(X_1956,X_1955,X_1954)
<=> mem2(X_1956,X_1955,g_s302_291) )
& ! [X_1957: $int,X_1958: $int,X_1959: $int] :
( ( mem2(X_1957,X_1958,X_1954)
& mem2(X_1957,X_1959,X_1954) )
=> ( X_1958 = X_1959 ) )
& ! [X_1960: $int] :
( ( $greatereq(X_1960,1)
& $lesseq(X_1960,X_1953) )
<=> ? [X_1961: $int] : mem2(X_1960,X_1961,X_1954) )
& ! [X_1962: $int] :
( ? [X_1963: $int] : mem2(X_1963,X_1962,X_1954)
=> mem0(X_1962,g_s198_194) ) ) ).
tff('Define:ctx:335',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s201_197)
=> ! [X_1964: $int] :
( ? [X_1965: $int] :
( ( X_1965 = L_s248 )
& mem2(X_1965,X_1964,g_s300_289) )
<=> ? [X_1966: $int] :
( ! [X_1967: set_0] :
( mem6(L_s248,X_1967,g_s301_290)
=> mem0(X_1966,X_1967) )
& mem2(X_1966,X_1964,g_s302_291) ) ) ) ).
tff('Define:ctx:336',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s201_197)
=> ! [X_1968: $int] :
( ! [X_1969: set_0] :
( mem6(L_s248,X_1969,g_s301_290)
=> mem0(X_1968,X_1969) )
=> ? [X_1970: $int] : mem2(X_1968,X_1970,g_s302_291) ) ) ).
tff('Define:ctx:337',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s201_197)
=> ( ! [X_1971: $int,X_1972: $int] :
( ( mem2(X_1972,X_1971,g_s302_291)
& ! [X_1973: set_0] :
( mem6(L_s248,X_1973,g_s301_290)
=> mem0(X_1972,X_1973) ) )
=> ( $greatereq(X_1972,0)
& mem0(X_1971,g_s198_194) ) )
& ! [X_1974: $int,X_1975: $int,X_1976: $int] :
( ( mem2(X_1974,X_1975,g_s302_291)
& ! [X_1977: set_0] :
( mem6(L_s248,X_1977,g_s301_290)
=> mem0(X_1974,X_1977) )
& mem2(X_1974,X_1976,g_s302_291)
& ! [X_1978: set_0] :
( mem6(L_s248,X_1978,g_s301_290)
=> mem0(X_1974,X_1978) ) )
=> ( X_1975 = X_1976 ) )
& ! [X_1979: $int,X_1980: $int,X_1981: $int] :
( ( mem2(X_1980,X_1979,g_s302_291)
& ! [X_1982: set_0] :
( mem6(L_s248,X_1982,g_s301_290)
=> mem0(X_1980,X_1982) )
& mem2(X_1981,X_1979,g_s302_291)
& ! [X_1983: set_0] :
( mem6(L_s248,X_1983,g_s301_290)
=> mem0(X_1981,X_1983) ) )
=> ( X_1980 = X_1981 ) ) ) ) ).
tff('Define:ctx:338',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s201_197)
& ~ ! [X_1984: set_0] :
( ! [X_1985: $int] :
( mem0(X_1985,X_1984)
<=> $false )
=> mem6(L_s248,X_1984,g_s301_290) ) )
=> ! [X_1986: set_0] :
( ! [X_1987: $int] :
( mem0(X_1987,X_1986)
<=> ! [X_1988: $int,X_1989: $int] :
( ( ! [X_1991: set_0] :
( mem6(L_s248,X_1991,g_s301_290)
=> mem0(X_1988,X_1991) )
& ! [X_1990: $int] :
( ! [X_1992: set_0] :
( mem6(L_s248,X_1992,g_s301_290)
=> mem0(X_1990,X_1992) )
=> $lesseq(X_1988,X_1990) )
& ! [X_1994: set_0] :
( mem6(L_s248,X_1994,g_s301_290)
=> mem0(X_1989,X_1994) )
& ! [X_1993: $int] :
( ! [X_1995: set_0] :
( mem6(L_s248,X_1995,g_s301_290)
=> mem0(X_1993,X_1995) )
=> $greatereq(X_1989,X_1993) ) )
=> ( $greatereq(X_1987,X_1988)
& $lesseq(X_1987,X_1989) ) ) )
=> mem6(L_s248,X_1986,g_s301_290) ) ) ).
tff('Define:ctx:339',axiom,
? [X_1996: set_2] :
( ! [X_1997: $int,X_1998: $int] :
( mem2(X_1998,X_1997,X_1996)
<=> mem2(X_1998,X_1997,g_s303_292) )
& ! [X_1999: $int,X_2000: $int,X_2001: $int] :
( ( mem2(X_1999,X_2000,X_1996)
& mem2(X_1999,X_2001,X_1996) )
=> ( X_2000 = X_2001 ) )
& ! [X_2002: $int] :
( mem0(X_2002,g_s210_206)
<=> ? [X_2003: $int] : mem2(X_2002,X_2003,X_1996) )
& ! [X_2004: $int] :
( ? [X_2005: $int] : mem2(X_2005,X_2004,X_1996)
=> mem0(X_2004,g_s213_209) ) ) ).
tff('Define:ctx:34',axiom,
( ~ ! [X_309: $int] :
( mem0(X_309,g_s108_108)
<=> $false )
& ! [X_312: $int] :
( mem0(X_312,g_s108_108)
=> $true )
& ? [X_310: $int,X_311: set_2] :
( ? [X_313: set_2] :
( ! [X_314: $int,X_315: $int] :
( mem2(X_315,X_314,X_313)
<=> mem2(X_315,X_314,X_311) )
& ! [X_316: $int,X_317: $int,X_318: $int] :
( ( mem2(X_316,X_317,X_313)
& mem2(X_316,X_318,X_313) )
=> ( X_317 = X_318 ) )
& ! [X_319: $int] :
( ( $greatereq(X_319,1)
& $lesseq(X_319,X_310) )
<=> ? [X_320: $int] : mem2(X_319,X_320,X_313) )
& ! [X_321: $int] :
( ? [X_322: $int] : mem2(X_322,X_321,X_313)
=> mem0(X_321,g_s108_108) ) )
& ! [X_323: $int] :
( mem0(X_323,g_s108_108)
=> ? [X_324: $int] : mem2(X_324,X_323,X_311) )
& ! [X_325: $int,X_326: $int,X_327: $int] :
( ( mem2(X_326,X_325,X_311)
& mem2(X_327,X_325,X_311) )
=> ( X_326 = X_327 ) ) ) ) ).
tff('Define:ctx:340',axiom,
! [X_2006: $int,X_2007: $int,X_2008: $int] :
( mem3(X_2008,X_2007,X_2006,g_s304_293)
=> ( mem0(X_2008,g_s210_206)
& mem0(X_2007,g_s201_197)
& mem0(X_2006,g_s167_163) ) ) ).
tff('Define:ctx:341',axiom,
( ! [X_2009: $int,X_2010: $int] :
( mem2(X_2010,X_2009,g_s305_294)
=> ( mem0(X_2010,g_s210_206)
& mem0(X_2009,g_s167_163) ) )
& ! [X_2011: $int,X_2012: $int,X_2013: $int] :
( ( mem2(X_2011,X_2012,g_s305_294)
& mem2(X_2011,X_2013,g_s305_294) )
=> ( X_2012 = X_2013 ) ) ) ).
tff('Define:ctx:342',axiom,
( ! [X_2014: $int,X_2015: $int] :
( mem2(X_2015,X_2014,g_s306_295)
=> ( mem0(X_2015,g_s210_206)
& mem0(X_2014,g_s167_163) ) )
& ! [X_2016: $int,X_2017: $int,X_2018: $int] :
( ( mem2(X_2016,X_2017,g_s306_295)
& mem2(X_2016,X_2018,g_s306_295) )
=> ( X_2017 = X_2018 ) ) ) ).
tff('Define:ctx:343',axiom,
( ! [X_2019: $int,X_2020: $int] :
( mem2(X_2020,X_2019,g_s307_296)
=> ( mem0(X_2020,g_s210_206)
& mem0(X_2019,g_s308_297) ) )
& ! [X_2021: $int,X_2022: $int,X_2023: $int] :
( ( mem2(X_2021,X_2022,g_s307_296)
& mem2(X_2021,X_2023,g_s307_296) )
=> ( X_2022 = X_2023 ) ) ) ).
tff('Define:ctx:344',axiom,
! [X_2024: $int,X_2025: $int] :
( mem2(X_2025,X_2024,g_s309_298)
=> ( mem0(X_2025,g_s210_206)
& mem0(X_2024,g_s201_197) ) ) ).
tff('Define:ctx:345',axiom,
? [X_2026: set_6] :
( ! [X_2027: set_0,X_2028: $int] :
( mem6(X_2028,X_2027,X_2026)
<=> mem6(X_2028,X_2027,g_s310_299) )
& ! [X_2029: $int,X_2030: set_0,X_2031: set_0] :
( ( mem6(X_2029,X_2030,X_2026)
& mem6(X_2029,X_2031,X_2026) )
=> ! [X_2032: $int] :
( mem0(X_2032,X_2030)
<=> mem0(X_2032,X_2031) ) )
& ! [X_2033: $int] :
( mem0(X_2033,g_s210_206)
<=> ? [X_2034: set_0] : mem6(X_2033,X_2034,X_2026) )
& ! [X_2035: set_0] :
( ? [X_2036: $int] : mem6(X_2036,X_2035,X_2026)
=> ! [X_2037: $int] :
( mem0(X_2037,X_2035)
=> mem0(X_2037,g_s207_203) ) ) ) ).
tff('Define:ctx:346',axiom,
? [X_2038: $int,X_2039: set_2] :
( ! [X_2040: $int,X_2041: $int] :
( mem2(X_2041,X_2040,X_2039)
<=> mem2(X_2041,X_2040,g_s311_300) )
& ! [X_2042: $int,X_2043: $int,X_2044: $int] :
( ( mem2(X_2042,X_2043,X_2039)
& mem2(X_2042,X_2044,X_2039) )
=> ( X_2043 = X_2044 ) )
& ! [X_2045: $int] :
( ( $greatereq(X_2045,1)
& $lesseq(X_2045,X_2038) )
<=> ? [X_2046: $int] : mem2(X_2045,X_2046,X_2039) )
& ! [X_2047: $int] :
( ? [X_2048: $int] : mem2(X_2048,X_2047,X_2039)
=> mem0(X_2047,g_s201_197) ) ) ).
tff('Define:ctx:347',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s210_206)
=> ! [X_2049: $int] :
( ? [X_2050: $int] :
( ( X_2050 = L_s248 )
& mem2(X_2050,X_2049,g_s309_298) )
<=> ? [X_2051: $int] :
( ! [X_2052: set_0] :
( mem6(L_s248,X_2052,g_s310_299)
=> mem0(X_2051,X_2052) )
& mem2(X_2051,X_2049,g_s311_300) ) ) ) ).
tff('Define:ctx:348',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s210_206)
=> ! [X_2053: $int] :
( ! [X_2054: set_0] :
( mem6(L_s248,X_2054,g_s310_299)
=> mem0(X_2053,X_2054) )
=> ? [X_2055: $int] : mem2(X_2053,X_2055,g_s311_300) ) ) ).
tff('Define:ctx:349',axiom,
! [L_s248: $int] :
( mem0(L_s248,g_s210_206)
=> ( ! [X_2056: $int,X_2057: $int] :
( ( mem2(X_2057,X_2056,g_s311_300)
& ! [X_2058: set_0] :
( mem6(L_s248,X_2058,g_s310_299)
=> mem0(X_2057,X_2058) ) )
=> ( $greatereq(X_2057,0)
& mem0(X_2056,g_s201_197) ) )
& ! [X_2059: $int,X_2060: $int,X_2061: $int] :
( ( mem2(X_2059,X_2060,g_s311_300)
& ! [X_2062: set_0] :
( mem6(L_s248,X_2062,g_s310_299)
=> mem0(X_2059,X_2062) )
& mem2(X_2059,X_2061,g_s311_300)
& ! [X_2063: set_0] :
( mem6(L_s248,X_2063,g_s310_299)
=> mem0(X_2059,X_2063) ) )
=> ( X_2060 = X_2061 ) )
& ! [X_2064: $int,X_2065: $int,X_2066: $int] :
( ( mem2(X_2065,X_2064,g_s311_300)
& ! [X_2067: set_0] :
( mem6(L_s248,X_2067,g_s310_299)
=> mem0(X_2065,X_2067) )
& mem2(X_2066,X_2064,g_s311_300)
& ! [X_2068: set_0] :
( mem6(L_s248,X_2068,g_s310_299)
=> mem0(X_2066,X_2068) ) )
=> ( X_2065 = X_2066 ) ) ) ) ).
tff('Define:ctx:35',axiom,
( ~ ! [X_328: $int] :
( mem0(X_328,g_s109_109)
<=> $false )
& ! [X_331: $int] :
( mem0(X_331,g_s109_109)
=> $true )
& ? [X_329: $int,X_330: set_2] :
( ? [X_332: set_2] :
( ! [X_333: $int,X_334: $int] :
( mem2(X_334,X_333,X_332)
<=> mem2(X_334,X_333,X_330) )
& ! [X_335: $int,X_336: $int,X_337: $int] :
( ( mem2(X_335,X_336,X_332)
& mem2(X_335,X_337,X_332) )
=> ( X_336 = X_337 ) )
& ! [X_338: $int] :
( ( $greatereq(X_338,1)
& $lesseq(X_338,X_329) )
<=> ? [X_339: $int] : mem2(X_338,X_339,X_332) )
& ! [X_340: $int] :
( ? [X_341: $int] : mem2(X_341,X_340,X_332)
=> mem0(X_340,g_s109_109) ) )
& ! [X_342: $int] :
( mem0(X_342,g_s109_109)
=> ? [X_343: $int] : mem2(X_343,X_342,X_330) )
& ! [X_344: $int,X_345: $int,X_346: $int] :
( ( mem2(X_345,X_344,X_330)
& mem2(X_346,X_344,X_330) )
=> ( X_345 = X_346 ) ) ) ) ).
tff('Define:ctx:350',axiom,
! [L_s248: $int] :
( ( mem0(L_s248,g_s210_206)
& ~ ! [X_2069: set_0] :
( ! [X_2070: $int] :
( mem0(X_2070,X_2069)
<=> $false )
=> mem6(L_s248,X_2069,g_s310_299) ) )
=> ! [X_2071: set_0] :
( ! [X_2072: $int] :
( mem0(X_2072,X_2071)
<=> ! [X_2073: $int,X_2074: $int] :
( ( ! [X_2076: set_0] :
( mem6(L_s248,X_2076,g_s310_299)
=> mem0(X_2073,X_2076) )
& ! [X_2075: $int] :
( ! [X_2077: set_0] :
( mem6(L_s248,X_2077,g_s310_299)
=> mem0(X_2075,X_2077) )
=> $lesseq(X_2073,X_2075) )
& ! [X_2079: set_0] :
( mem6(L_s248,X_2079,g_s310_299)
=> mem0(X_2074,X_2079) )
& ! [X_2078: $int] :
( ! [X_2080: set_0] :
( mem6(L_s248,X_2080,g_s310_299)
=> mem0(X_2078,X_2080) )
=> $greatereq(X_2074,X_2078) ) )
=> ( $greatereq(X_2072,X_2073)
& $lesseq(X_2072,X_2074) ) ) )
=> mem6(L_s248,X_2071,g_s310_299) ) ) ).
tff('Define:ctx:351',axiom,
? [X_2081: set_2] :
( ! [X_2082: $int,X_2083: $int] :
( mem2(X_2083,X_2082,X_2081)
<=> mem2(X_2083,X_2082,g_s312_301) )
& ! [X_2084: $int,X_2085: $int,X_2086: $int] :
( ( mem2(X_2084,X_2085,X_2081)
& mem2(X_2084,X_2086,X_2081) )
=> ( X_2085 = X_2086 ) )
& ! [X_2087: $int] :
( mem0(X_2087,g_s218_214)
<=> ? [X_2088: $int] : mem2(X_2087,X_2088,X_2081) )
& ! [X_2089: $int] :
( ? [X_2090: $int] : mem2(X_2090,X_2089,X_2081)
=> mem0(X_2089,g_s213_209) ) ) ).
tff('Define:ctx:352',axiom,
( ! [X_2091: $int,X_2092: $int] :
( mem2(X_2092,X_2091,g_s313_302)
=> ( mem0(X_2092,g_s218_214)
& mem0(X_2091,g_s201_197) ) )
& ! [X_2093: $int,X_2094: $int,X_2095: $int] :
( ( mem2(X_2093,X_2094,g_s313_302)
& mem2(X_2093,X_2095,g_s313_302) )
=> ( X_2094 = X_2095 ) ) ) ).
tff('Define:ctx:353',axiom,
( ! [X_2096: $int,X_2097: $int] :
( mem2(X_2097,X_2096,g_s314_303)
=> ( mem0(X_2097,g_s218_214)
& mem0(X_2096,g_s201_197) ) )
& ! [X_2098: $int,X_2099: $int,X_2100: $int] :
( ( mem2(X_2098,X_2099,g_s314_303)
& mem2(X_2098,X_2100,g_s314_303) )
=> ( X_2099 = X_2100 ) ) ) ).
tff('Define:ctx:354',axiom,
( ! [X_2101: $int,X_2102: $int] :
( mem2(X_2102,X_2101,g_s315_304)
=> ( mem0(X_2102,g_s218_214)
& mem0(X_2101,g_s255_250) ) )
& ! [X_2103: $int,X_2104: $int,X_2105: $int] :
( ( mem2(X_2103,X_2104,g_s315_304)
& mem2(X_2103,X_2105,g_s315_304) )
=> ( X_2104 = X_2105 ) ) ) ).
tff('Define:ctx:355',axiom,
( ! [X_2106: $int,X_2107: $int,X_2108: $int] :
( mem3(X_2108,X_2107,X_2106,g_s316_305)
=> ( mem0(X_2108,g_s218_214)
& mem0(X_2107,g_s210_206)
& mem0(X_2106,g_s170_166) ) )
& ! [X_2109: $int,X_2110: $int,X_2111: $int,X_2112: $int] :
( ( mem3(X_2110,X_2109,X_2111,g_s316_305)
& mem3(X_2110,X_2109,X_2112,g_s316_305) )
=> ( X_2111 = X_2112 ) ) ) ).
tff('Define:ctx:356',axiom,
( ! [X_2113: $int,X_2114: $int,X_2115: $int] :
( mem3(X_2115,X_2114,X_2113,g_s317_306)
=> ( mem0(X_2115,g_s222_218)
& mem0(X_2114,g_s210_206)
& mem0(X_2113,g_s170_166) ) )
& ! [X_2116: $int,X_2117: $int,X_2118: $int,X_2119: $int] :
( ( mem3(X_2117,X_2116,X_2118,g_s317_306)
& mem3(X_2117,X_2116,X_2119,g_s317_306) )
=> ( X_2118 = X_2119 ) ) ) ).
tff('Define:ctx:357',axiom,
( ! [X_2120: $int,X_2121: $int,X_2122: $int] :
( mem3(X_2122,X_2121,X_2120,g_s318_307)
=> ( mem0(X_2122,g_s222_218)
& mem0(X_2121,g_s210_206)
& mem0(X_2120,g_s170_166) ) )
& ! [X_2123: $int,X_2124: $int,X_2125: $int,X_2126: $int] :
( ( mem3(X_2124,X_2123,X_2125,g_s318_307)
& mem3(X_2124,X_2123,X_2126,g_s318_307) )
=> ( X_2125 = X_2126 ) ) ) ).
tff('Define:ctx:358',axiom,
! [X_2127: $int] :
( mem0(X_2127,g_s319_308)
=> mem0(X_2127,g_s222_218) ) ).
tff('Define:ctx:359',axiom,
( ! [X_2128: $int,X_2129: $int,X_2130: $int] :
( mem3(X_2130,X_2129,X_2128,g_s320_309)
=> ( mem0(X_2130,g_s222_218)
& mem0(X_2129,g_s210_206)
& mem0(X_2128,g_s170_166) ) )
& ! [X_2131: $int,X_2132: $int,X_2133: $int,X_2134: $int] :
( ( mem3(X_2132,X_2131,X_2133,g_s320_309)
& mem3(X_2132,X_2131,X_2134,g_s320_309) )
=> ( X_2133 = X_2134 ) ) ) ).
tff('Define:ctx:36',axiom,
( ~ ! [X_347: $int] :
( mem0(X_347,g_s110_110)
<=> $false )
& ! [X_350: $int] :
( mem0(X_350,g_s110_110)
=> $true )
& ? [X_348: $int,X_349: set_2] :
( ? [X_351: set_2] :
( ! [X_352: $int,X_353: $int] :
( mem2(X_353,X_352,X_351)
<=> mem2(X_353,X_352,X_349) )
& ! [X_354: $int,X_355: $int,X_356: $int] :
( ( mem2(X_354,X_355,X_351)
& mem2(X_354,X_356,X_351) )
=> ( X_355 = X_356 ) )
& ! [X_357: $int] :
( ( $greatereq(X_357,1)
& $lesseq(X_357,X_348) )
<=> ? [X_358: $int] : mem2(X_357,X_358,X_351) )
& ! [X_359: $int] :
( ? [X_360: $int] : mem2(X_360,X_359,X_351)
=> mem0(X_359,g_s110_110) ) )
& ! [X_361: $int] :
( mem0(X_361,g_s110_110)
=> ? [X_362: $int] : mem2(X_362,X_361,X_349) )
& ! [X_363: $int,X_364: $int,X_365: $int] :
( ( mem2(X_364,X_363,X_349)
& mem2(X_365,X_363,X_349) )
=> ( X_364 = X_365 ) ) ) ) ).
tff('Define:ctx:360',axiom,
( ! [X_2135: $int,X_2136: $int,X_2137: $int] :
( mem3(X_2137,X_2136,X_2135,g_s321_310)
=> ( mem0(X_2137,g_s222_218)
& mem0(X_2136,g_s210_206)
& mem0(X_2135,g_s170_166) ) )
& ! [X_2138: $int,X_2139: $int,X_2140: $int,X_2141: $int] :
( ( mem3(X_2139,X_2138,X_2140,g_s321_310)
& mem3(X_2139,X_2138,X_2141,g_s321_310) )
=> ( X_2140 = X_2141 ) ) ) ).
tff('Define:ctx:361',axiom,
! [X_2142: $int] :
( mem0(X_2142,g_s322_311)
=> mem0(X_2142,g_s222_218) ) ).
tff('Define:ctx:362',axiom,
? [X_2143: set_2] :
( ! [X_2144: $int,X_2145: $int] :
( mem2(X_2145,X_2144,X_2143)
<=> mem2(X_2145,X_2144,g_s323_312) )
& ! [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_s222_218)
<=> ? [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_s198_194) ) ) ).
tff('Define:ctx:363',axiom,
? [X_2153: set_2] :
( ! [X_2154: $int,X_2155: $int] :
( mem2(X_2155,X_2154,X_2153)
<=> mem2(X_2155,X_2154,g_s324_313) )
& ! [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_s222_218)
<=> ? [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_s198_194) ) ) ).
tff('Define:ctx:364',axiom,
( ? [X_2163: set_2] :
( ! [X_2164: $int,X_2165: $int] :
( mem2(X_2165,X_2164,X_2163)
<=> mem2(X_2165,X_2164,g_s325_314) )
& ! [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_s224_220)
<=> ? [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_s218_214) ) )
& ! [X_2173: $int,X_2174: $int,X_2175: $int] :
( ( mem2(X_2174,X_2173,g_s325_314)
& mem2(X_2175,X_2173,g_s325_314) )
=> ( X_2174 = X_2175 ) ) ) ).
tff('Define:ctx:365',axiom,
( ! [X_2176: $int,X_2177: $int] :
( mem2(X_2177,X_2176,g_s326_315)
=> ( mem0(X_2177,g_s222_218)
& mem0(X_2176,g_s201_197) ) )
& ! [X_2178: $int,X_2179: $int,X_2180: $int] :
( ( mem2(X_2178,X_2179,g_s326_315)
& mem2(X_2178,X_2180,g_s326_315) )
=> ( X_2179 = X_2180 ) ) ) ).
tff('Define:ctx:366',axiom,
( ! [X_2181: $int,X_2182: $int,X_2183: $int] :
( mem3(X_2183,X_2182,X_2181,g_s327_316)
=> ( mem0(X_2183,g_s222_218)
& mem0(X_2182,g_s210_206)
& mem0(X_2181,g_s170_166) ) )
& ! [X_2184: $int,X_2185: $int,X_2186: $int,X_2187: $int] :
( ( mem3(X_2185,X_2184,X_2186,g_s327_316)
& mem3(X_2185,X_2184,X_2187,g_s327_316) )
=> ( X_2186 = X_2187 ) ) ) ).
tff('Define:ctx:367',axiom,
( ! [X_2188: $int,X_2189: $int,X_2190: $int] :
( mem3(X_2190,X_2189,X_2188,g_s328_317)
=> ( mem0(X_2190,g_s222_218)
& mem0(X_2189,g_s210_206)
& mem0(X_2188,g_s170_166) ) )
& ! [X_2191: $int,X_2192: $int,X_2193: $int,X_2194: $int] :
( ( mem3(X_2192,X_2191,X_2193,g_s328_317)
& mem3(X_2192,X_2191,X_2194,g_s328_317) )
=> ( X_2193 = X_2194 ) ) ) ).
tff('Define:ctx:368',axiom,
! [X_2195: $int] :
( mem0(X_2195,g_s329_318)
=> mem0(X_2195,g_s222_218) ) ).
tff('Define:ctx:369',axiom,
( ! [X_2196: $int,X_2197: $int,X_2198: $int] :
( mem3(X_2198,X_2197,X_2196,g_s330_319)
=> ( mem0(X_2198,g_s218_214)
& mem0(X_2197,g_s210_206)
& mem0(X_2196,g_s170_166) ) )
& ! [X_2199: $int,X_2200: $int,X_2201: $int,X_2202: $int] :
( ( mem3(X_2200,X_2199,X_2201,g_s330_319)
& mem3(X_2200,X_2199,X_2202,g_s330_319) )
=> ( X_2201 = X_2202 ) ) ) ).
tff('Define:ctx:37',axiom,
( ~ ! [X_366: $int] :
( mem0(X_366,g_s111_111)
<=> $false )
& ! [X_369: $int] :
( mem0(X_369,g_s111_111)
=> $true )
& ? [X_367: $int,X_368: set_2] :
( ? [X_370: set_2] :
( ! [X_371: $int,X_372: $int] :
( mem2(X_372,X_371,X_370)
<=> mem2(X_372,X_371,X_368) )
& ! [X_373: $int,X_374: $int,X_375: $int] :
( ( mem2(X_373,X_374,X_370)
& mem2(X_373,X_375,X_370) )
=> ( X_374 = X_375 ) )
& ! [X_376: $int] :
( ( $greatereq(X_376,1)
& $lesseq(X_376,X_367) )
<=> ? [X_377: $int] : mem2(X_376,X_377,X_370) )
& ! [X_378: $int] :
( ? [X_379: $int] : mem2(X_379,X_378,X_370)
=> mem0(X_378,g_s111_111) ) )
& ! [X_380: $int] :
( mem0(X_380,g_s111_111)
=> ? [X_381: $int] : mem2(X_381,X_380,X_368) )
& ! [X_382: $int,X_383: $int,X_384: $int] :
( ( mem2(X_383,X_382,X_368)
& mem2(X_384,X_382,X_368) )
=> ( X_383 = X_384 ) ) ) ) ).
tff('Define:ctx:370',axiom,
! [X_2203: $int] :
( mem0(X_2203,g_s331_320)
=> mem0(X_2203,g_s218_214) ) ).
tff('Define:ctx:371',axiom,
! [X_2204: $int] :
( mem0(X_2204,g_s332_321)
=> mem0(X_2204,g_s222_218) ) ).
tff('Define:ctx:372',axiom,
! [L_s333: $int] :
( mem0(L_s333,g_s210_206)
=> ! [X_2205: $int,X_2206: $int] :
( ( ? [X_2207: $int,X_2208: $int] :
( ( ( ( X_2208 = L_s333 )
& ( X_2207 = g_s68_68 ) )
| ( ( X_2208 = L_s333 )
& ( X_2207 = g_s69_69 ) ) )
& mem3(X_2208,X_2207,X_2206,g_s334_322) )
& ( X_2205 = L_s333 ) )
=> ? [X_2209: $int] :
( mem3(X_2206,X_2205,X_2209,g_s316_305)
& mem0(X_2206,g_s222_218)
& mem0(X_2205,g_s210_206) ) ) ) ).
tff('Define:ctx:373',axiom,
! [X_2210: $int] :
( mem0(X_2210,g_s319_308)
=> ? [X_2211: $int] : mem2(X_2210,X_2211,g_s326_315) ) ).
tff('Define:ctx:374',axiom,
! [X_2212: $int,X_2213: $int,X_2214: $int] :
( mem3(X_2214,X_2213,X_2212,g_s334_322)
=> ( mem0(X_2214,g_s210_206)
& mem0(X_2213,g_s213_209)
& mem0(X_2212,g_s222_218) ) ) ).
tff('Define:ctx:375',axiom,
? [X_2215: set_5] :
( ! [X_2216: set_0,X_2217: $int,X_2218: $int] :
( mem5(X_2218,X_2217,X_2216,X_2215)
<=> mem5(X_2218,X_2217,X_2216,g_s335_323) )
& ! [X_2219: $int,X_2220: $int,X_2221: set_0,X_2222: set_0] :
( ( mem5(X_2220,X_2219,X_2221,X_2215)
& mem5(X_2220,X_2219,X_2222,X_2215) )
=> ! [X_2223: $int] :
( mem0(X_2223,X_2221)
<=> mem0(X_2223,X_2222) ) )
& ! [X_2224: $int,X_2225: $int] :
( ( mem0(X_2225,g_s210_206)
& mem0(X_2224,g_s213_209) )
<=> ? [X_2226: set_0] : mem5(X_2225,X_2224,X_2226,X_2215) )
& ! [X_2227: set_0] :
( ? [X_2228: $int,X_2229: $int] : mem5(X_2229,X_2228,X_2227,X_2215)
=> ! [X_2230: $int] :
( mem0(X_2230,X_2227)
=> mem0(X_2230,g_s207_203) ) ) ) ).
tff('Define:ctx:376',axiom,
? [X_2231: $int,X_2232: set_2] :
( ! [X_2233: $int,X_2234: $int] :
( mem2(X_2234,X_2233,X_2232)
<=> mem2(X_2234,X_2233,g_s336_324) )
& ! [X_2235: $int,X_2236: $int,X_2237: $int] :
( ( mem2(X_2235,X_2236,X_2232)
& mem2(X_2235,X_2237,X_2232) )
=> ( X_2236 = X_2237 ) )
& ! [X_2238: $int] :
( ( $greatereq(X_2238,1)
& $lesseq(X_2238,X_2231) )
<=> ? [X_2239: $int] : mem2(X_2238,X_2239,X_2232) )
& ! [X_2240: $int] :
( ? [X_2241: $int] : mem2(X_2241,X_2240,X_2232)
=> mem0(X_2240,g_s222_218) ) ) ).
tff('Define:ctx:377',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s210_206)
& mem0(L_s283,g_s213_209) )
=> ! [X_2242: $int] :
( ? [X_2243: $int,X_2244: $int] :
( ( X_2244 = L_s248 )
& ( X_2243 = L_s283 )
& mem3(X_2244,X_2243,X_2242,g_s334_322) )
<=> ? [X_2245: $int] :
( ! [X_2246: set_0] :
( mem5(L_s248,L_s283,X_2246,g_s335_323)
=> mem0(X_2245,X_2246) )
& mem2(X_2245,X_2242,g_s336_324) ) ) ) ).
tff('Define:ctx:378',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s210_206)
& mem0(L_s283,g_s213_209) )
=> ! [X_2247: $int] :
( ! [X_2248: set_0] :
( mem5(L_s248,L_s283,X_2248,g_s335_323)
=> mem0(X_2247,X_2248) )
=> ? [X_2249: $int] : mem2(X_2247,X_2249,g_s336_324) ) ) ).
tff('Define:ctx:379',axiom,
! [L_s248: $int,L_s283: $int] :
( ( mem0(L_s248,g_s210_206)
& mem0(L_s283,g_s213_209) )
=> ( ! [X_2250: $int,X_2251: $int] :
( ( mem2(X_2251,X_2250,g_s336_324)
& ! [X_2252: set_0] :
( mem5(L_s248,L_s283,X_2252,g_s335_323)
=> mem0(X_2251,X_2252) ) )
=> ( $greatereq(X_2251,0)
& mem0(X_2250,g_s222_218) ) )
& ! [X_2253: $int,X_2254: $int,X_2255: $int] :
( ( mem2(X_2253,X_2254,g_s336_324)
& ! [X_2256: set_0] :
( mem5(L_s248,L_s283,X_2256,g_s335_323)
=> mem0(X_2253,X_2256) )
& mem2(X_2253,X_2255,g_s336_324)
& ! [X_2257: set_0] :
( mem5(L_s248,L_s283,X_2257,g_s335_323)
=> mem0(X_2253,X_2257) ) )
=> ( X_2254 = X_2255 ) )
& ! [X_2258: $int,X_2259: $int,X_2260: $int] :
( ( mem2(X_2259,X_2258,g_s336_324)
& ! [X_2261: set_0] :
( mem5(L_s248,L_s283,X_2261,g_s335_323)
=> mem0(X_2259,X_2261) )
& mem2(X_2260,X_2258,g_s336_324)
& ! [X_2262: set_0] :
( mem5(L_s248,L_s283,X_2262,g_s335_323)
=> mem0(X_2260,X_2262) ) )
=> ( X_2259 = X_2260 ) ) ) ) ).
tff('Define:ctx:38',axiom,
( ! [X_385: $int] :
( mem0(X_385,g_s112_112)
<=> ( ( X_385 = g_s113_113 )
| ( X_385 = g_s114_114 )
| ( X_385 = g_s115_115 ) ) )
& ( g_s113_113 != g_s114_114 )
& ( g_s114_114 != g_s115_115 ) ) ).
tff('Define:ctx:380',axiom,
! [L_s248: $int,L_s283: $int] :
( ( ~ ! [X_2263: set_0] :
( ! [X_2264: $int] :
( mem0(X_2264,X_2263)
<=> $false )
=> mem5(L_s248,L_s283,X_2263,g_s335_323) )
& mem0(L_s248,g_s210_206)
& mem0(L_s283,g_s213_209) )
=> ! [X_2265: set_0] :
( ! [X_2266: $int] :
( mem0(X_2266,X_2265)
<=> ! [X_2267: $int,X_2268: $int] :
( ( ! [X_2270: set_0] :
( mem5(L_s248,L_s283,X_2270,g_s335_323)
=> mem0(X_2267,X_2270) )
& ! [X_2269: $int] :
( ! [X_2271: set_0] :
( mem5(L_s248,L_s283,X_2271,g_s335_323)
=> mem0(X_2269,X_2271) )
=> $lesseq(X_2267,X_2269) )
& ! [X_2273: set_0] :
( mem5(L_s248,L_s283,X_2273,g_s335_323)
=> mem0(X_2268,X_2273) )
& ! [X_2272: $int] :
( ! [X_2274: set_0] :
( mem5(L_s248,L_s283,X_2274,g_s335_323)
=> mem0(X_2272,X_2274) )
=> $greatereq(X_2268,X_2272) ) )
=> ( $greatereq(X_2266,X_2267)
& $lesseq(X_2266,X_2268) ) ) )
=> mem5(L_s248,L_s283,X_2265,g_s335_323) ) ) ).
tff('Define:ctx:381',axiom,
$greater(g_s337_325,0) ).
tff('Define:ctx:382',axiom,
$greater(g_s338_326,0) ).
tff('Define:ctx:383',axiom,
$greater(g_s339_327,0) ).
tff('Define:ctx:384',axiom,
$greater(g_s340_328,0) ).
tff('Define:ctx:385',axiom,
$greater(g_s341_329,0) ).
tff('Define:ctx:386',axiom,
$greater(g_s342_330,0) ).
tff('Define:ctx:387',axiom,
$greater(g_s343_331,0) ).
tff('Define:ctx:388',axiom,
$greater(g_s344_332,0) ).
tff('Define:ctx:389',axiom,
$greater(g_s345_333,0) ).
tff('Define:ctx:39',axiom,
( ~ ! [X_386: $int] :
( mem0(X_386,g_s116_116)
<=> $false )
& ! [X_389: $int] :
( mem0(X_389,g_s116_116)
=> $true )
& ? [X_387: $int,X_388: set_2] :
( ? [X_390: set_2] :
( ! [X_391: $int,X_392: $int] :
( mem2(X_392,X_391,X_390)
<=> mem2(X_392,X_391,X_388) )
& ! [X_393: $int,X_394: $int,X_395: $int] :
( ( mem2(X_393,X_394,X_390)
& mem2(X_393,X_395,X_390) )
=> ( X_394 = X_395 ) )
& ! [X_396: $int] :
( ( $greatereq(X_396,1)
& $lesseq(X_396,X_387) )
<=> ? [X_397: $int] : mem2(X_396,X_397,X_390) )
& ! [X_398: $int] :
( ? [X_399: $int] : mem2(X_399,X_398,X_390)
=> mem0(X_398,g_s116_116) ) )
& ! [X_400: $int] :
( mem0(X_400,g_s116_116)
=> ? [X_401: $int] : mem2(X_401,X_400,X_388) )
& ! [X_402: $int,X_403: $int,X_404: $int] :
( ( mem2(X_403,X_402,X_388)
& mem2(X_404,X_402,X_388) )
=> ( X_403 = X_404 ) ) ) ) ).
tff('Define:ctx:390',axiom,
$greater(g_s346_334,0) ).
tff('Define:ctx:391',axiom,
$greater(g_s347_335,0) ).
tff('Define:ctx:392',axiom,
$greater(g_s348_336,0) ).
tff('Define:ctx:393',axiom,
$greater(g_s349_337,0) ).
tff('Define:ctx:394',axiom,
$greater(g_s350_338,0) ).
tff('Define:ctx:395',axiom,
$greater(g_s351_339,0) ).
tff('Define:ctx:396',axiom,
$greater(g_s352_340,0) ).
tff('Define:ctx:397',axiom,
$greater(g_s353_341,0) ).
tff('Define:ctx:398',axiom,
$greater(g_s354_342,0) ).
tff('Define:ctx:399',axiom,
$greater(g_s355_343,0) ).
tff('Define:ctx:4',axiom,
( ~ ! [X_81: $int] :
( mem0(X_81,g_s4_4)
<=> $false )
& ! [X_84: $int] :
( mem0(X_84,g_s4_4)
=> $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_s4_4) ) )
& ! [X_95: $int] :
( mem0(X_95,g_s4_4)
=> ? [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:40',axiom,
( ~ ! [X_405: $int] :
( mem0(X_405,g_s117_117)
<=> $false )
& ! [X_408: $int] :
( mem0(X_408,g_s117_117)
=> $true )
& ? [X_406: $int,X_407: set_2] :
( ? [X_409: set_2] :
( ! [X_410: $int,X_411: $int] :
( mem2(X_411,X_410,X_409)
<=> mem2(X_411,X_410,X_407) )
& ! [X_412: $int,X_413: $int,X_414: $int] :
( ( mem2(X_412,X_413,X_409)
& mem2(X_412,X_414,X_409) )
=> ( X_413 = X_414 ) )
& ! [X_415: $int] :
( ( $greatereq(X_415,1)
& $lesseq(X_415,X_406) )
<=> ? [X_416: $int] : mem2(X_415,X_416,X_409) )
& ! [X_417: $int] :
( ? [X_418: $int] : mem2(X_418,X_417,X_409)
=> mem0(X_417,g_s117_117) ) )
& ! [X_419: $int] :
( mem0(X_419,g_s117_117)
=> ? [X_420: $int] : mem2(X_420,X_419,X_407) )
& ! [X_421: $int,X_422: $int,X_423: $int] :
( ( mem2(X_422,X_421,X_407)
& mem2(X_423,X_421,X_407) )
=> ( X_422 = X_423 ) ) ) ) ).
tff('Define:ctx:400',axiom,
$greater(g_s356_344,0) ).
tff('Define:ctx:401',axiom,
$greater(g_s357_345,0) ).
tff('Define:ctx:402',axiom,
$greater(g_s358_346,0) ).
tff('Define:ctx:403',axiom,
$greater(g_s359_347,0) ).
tff('Define:ctx:404',axiom,
$greater(g_s360_348,0) ).
tff('Define:ctx:405',axiom,
$greater(g_s361_349,0) ).
tff('Define:ctx:406',axiom,
$greater(g_s362_350,0) ).
tff('Define:ctx:407',axiom,
$greater(g_s363_351,0) ).
tff('Define:ctx:408',axiom,
$greater(g_s364_352,0) ).
tff('Define:ctx:409',axiom,
$greater(g_s365_353,0) ).
tff('Define:ctx:41',axiom,
( ~ ! [X_424: $int] :
( mem0(X_424,g_s118_118)
<=> $false )
& ! [X_427: $int] :
( mem0(X_427,g_s118_118)
=> $true )
& ? [X_425: $int,X_426: set_2] :
( ? [X_428: set_2] :
( ! [X_429: $int,X_430: $int] :
( mem2(X_430,X_429,X_428)
<=> mem2(X_430,X_429,X_426) )
& ! [X_431: $int,X_432: $int,X_433: $int] :
( ( mem2(X_431,X_432,X_428)
& mem2(X_431,X_433,X_428) )
=> ( X_432 = X_433 ) )
& ! [X_434: $int] :
( ( $greatereq(X_434,1)
& $lesseq(X_434,X_425) )
<=> ? [X_435: $int] : mem2(X_434,X_435,X_428) )
& ! [X_436: $int] :
( ? [X_437: $int] : mem2(X_437,X_436,X_428)
=> mem0(X_436,g_s118_118) ) )
& ! [X_438: $int] :
( mem0(X_438,g_s118_118)
=> ? [X_439: $int] : mem2(X_439,X_438,X_426) )
& ! [X_440: $int,X_441: $int,X_442: $int] :
( ( mem2(X_441,X_440,X_426)
& mem2(X_442,X_440,X_426) )
=> ( X_441 = X_442 ) ) ) ) ).
tff('Define:ctx:410',axiom,
$greater(g_s366_354,0) ).
tff('Define:ctx:411',axiom,
$greater(g_s367_355,0) ).
tff('Define:ctx:412',axiom,
$greater(g_s368_356,0) ).
tff('Define:ctx:413',axiom,
$greater(g_s369_357,0) ).
tff('Define:ctx:414',axiom,
$greater(g_s370_358,0) ).
tff('Define:ctx:415',axiom,
$greater(g_s371_359,0) ).
tff('Define:ctx:416',axiom,
$greater(g_s372_360,0) ).
tff('Define:ctx:417',axiom,
$greater(g_s373_361,0) ).
tff('Define:ctx:418',axiom,
$greater(g_s374_362,0) ).
tff('Define:ctx:419',axiom,
$greatereq(g_s375_363,0) ).
tff('Define:ctx:42',axiom,
( ~ ! [X_443: $int] :
( mem0(X_443,g_s119_119)
<=> $false )
& ! [X_446: $int] :
( mem0(X_446,g_s119_119)
=> $true )
& ? [X_444: $int,X_445: set_2] :
( ? [X_447: set_2] :
( ! [X_448: $int,X_449: $int] :
( mem2(X_449,X_448,X_447)
<=> mem2(X_449,X_448,X_445) )
& ! [X_450: $int,X_451: $int,X_452: $int] :
( ( mem2(X_450,X_451,X_447)
& mem2(X_450,X_452,X_447) )
=> ( X_451 = X_452 ) )
& ! [X_453: $int] :
( ( $greatereq(X_453,1)
& $lesseq(X_453,X_444) )
<=> ? [X_454: $int] : mem2(X_453,X_454,X_447) )
& ! [X_455: $int] :
( ? [X_456: $int] : mem2(X_456,X_455,X_447)
=> mem0(X_455,g_s119_119) ) )
& ! [X_457: $int] :
( mem0(X_457,g_s119_119)
=> ? [X_458: $int] : mem2(X_458,X_457,X_445) )
& ! [X_459: $int,X_460: $int,X_461: $int] :
( ( mem2(X_460,X_459,X_445)
& mem2(X_461,X_459,X_445) )
=> ( X_460 = X_461 ) ) ) ) ).
tff('Define:ctx:420',axiom,
$greater(g_s376_364,0) ).
tff('Define:ctx:421',axiom,
$greatereq(g_s377_365,0) ).
tff('Define:ctx:422',axiom,
! [X_2275: $int] :
( ( X_2275 = $sum(g_s374_362,g_s375_363) )
=> mem0(X_2275,g_s129_127) ) ).
tff('Define:ctx:423',axiom,
! [X_2276: $int] :
( ( X_2276 = $sum(g_s344_332,g_s367_355) )
=> mem0(X_2276,g_s236_232) ) ).
tff('Define:ctx:424',axiom,
! [X_2277: $int] :
( ( X_2277 = $sum(g_s341_329,g_s367_355) )
=> mem0(X_2277,g_s236_232) ) ).
tff('Define:ctx:425',axiom,
mem0(g_s337_325,g_s129_127) ).
tff('Define:ctx:426',axiom,
mem0(g_s338_326,g_s129_127) ).
tff('Define:ctx:427',axiom,
mem0(g_s339_327,g_s236_232) ).
tff('Define:ctx:428',axiom,
mem0(g_s340_328,g_s236_232) ).
tff('Define:ctx:429',axiom,
mem0(g_s341_329,g_s236_232) ).
tff('Define:ctx:43',axiom,
? [X_462: set_3] :
( ! [X_463: $int,X_464: $int,X_465: $int] :
( mem3(X_465,X_464,X_463,X_462)
<=> mem3(X_465,X_464,X_463,g_s120_120) )
& ! [X_466: $int,X_467: $int,X_468: $int,X_469: $int] :
( ( mem3(X_467,X_466,X_468,X_462)
& mem3(X_467,X_466,X_469,X_462) )
=> ( X_468 = X_469 ) )
& ! [X_470: $int,X_471: $int] :
( ( $true
& $greatereq(X_470,0) )
<=> ? [X_472: $int] : mem3(X_471,X_470,X_472,X_462) )
& ! [X_473: $int] :
( ? [X_474: $int,X_475: $int] : mem3(X_475,X_474,X_473,X_462)
=> $true ) ) ).
tff('Define:ctx:430',axiom,
mem0(g_s342_330,g_s236_232) ).
tff('Define:ctx:431',axiom,
mem0(g_s343_331,g_s236_232) ).
tff('Define:ctx:432',axiom,
mem0(g_s344_332,g_s236_232) ).
tff('Define:ctx:433',axiom,
mem0(g_s345_333,g_s236_232) ).
tff('Define:ctx:434',axiom,
mem0(g_s346_334,g_s129_127) ).
tff('Define:ctx:435',axiom,
mem0(g_s347_335,g_s236_232) ).
tff('Define:ctx:436',axiom,
mem0(g_s348_336,g_s236_232) ).
tff('Define:ctx:437',axiom,
mem0(g_s349_337,g_s236_232) ).
tff('Define:ctx:438',axiom,
mem0(g_s350_338,g_s236_232) ).
tff('Define:ctx:439',axiom,
mem0(g_s351_339,g_s236_232) ).
tff('Define:ctx:44',axiom,
! [X_476: $int,X_477: $int,X_478: $int] :
( mem3(X_478,X_477,X_476,g_s120_120)
<=> ( ( $greatereq(X_478,0)
& $greatereq(X_477,0)
& ( X_476 = divB(X_478,exp(2,X_477)) ) )
| ( $true
& $greatereq(X_477,0)
& $less(X_478,0)
& ( X_476 = $uminus(divB($difference($sum($uminus(X_478),exp(2,X_477)),1),exp(2,X_477))) ) ) ) ) ).
tff('Define:ctx:440',axiom,
mem0(g_s352_340,g_s129_127) ).
tff('Define:ctx:441',axiom,
mem0(g_s353_341,g_s129_127) ).
tff('Define:ctx:442',axiom,
mem0(g_s354_342,g_s129_127) ).
tff('Define:ctx:443',axiom,
mem0(g_s355_343,g_s129_127) ).
tff('Define:ctx:444',axiom,
mem0(g_s356_344,g_s129_127) ).
tff('Define:ctx:445',axiom,
mem0(g_s357_345,g_s129_127) ).
tff('Define:ctx:446',axiom,
mem0(g_s358_346,g_s129_127) ).
tff('Define:ctx:447',axiom,
mem0(g_s359_347,g_s129_127) ).
tff('Define:ctx:448',axiom,
mem0(g_s360_348,g_s129_127) ).
tff('Define:ctx:449',axiom,
mem0(g_s361_349,g_s129_127) ).
tff('Define:ctx:45',axiom,
? [X_479: set_4] :
( ! [X_480: $int,X_481: $o] :
( mem4((X_481),X_480,X_479)
<=> mem4((X_481),X_480,g_s123_121) )
& ! [X_482: $o,X_483: $int,X_484: $int] :
( ( mem4((X_482),X_483,X_479)
& mem4((X_482),X_484,X_479) )
=> ( X_483 = X_484 ) )
& ! [X_485: $o] :
( $true
<=> ? [X_486: $int] : mem4((X_485),X_486,X_479) )
& ! [X_487: $int] :
( ? [X_488: $o] : mem4((X_488),X_487,X_479)
=> ( $greatereq(X_487,0)
& $lesseq(X_487,max_int) ) ) ) ).
tff('Define:ctx:450',axiom,
mem0(g_s362_350,g_s129_127) ).
tff('Define:ctx:451',axiom,
mem0(g_s363_351,g_s236_232) ).
tff('Define:ctx:452',axiom,
mem0(g_s364_352,g_s129_127) ).
tff('Define:ctx:453',axiom,
mem0(g_s365_353,g_s129_127) ).
tff('Define:ctx:454',axiom,
mem0(g_s366_354,g_s129_127) ).
tff('Define:ctx:455',axiom,
mem0(g_s367_355,g_s129_127) ).
tff('Define:ctx:456',axiom,
mem0(g_s368_356,g_s236_232) ).
tff('Define:ctx:457',axiom,
mem0(g_s369_357,g_s129_127) ).
tff('Define:ctx:458',axiom,
mem0(g_s370_358,g_s129_127) ).
tff('Define:ctx:459',axiom,
mem0(g_s371_359,g_s236_232) ).
tff('Define:ctx:46',axiom,
! [X_489: $int,X_490: $o] :
( mem4((X_490),X_489,g_s123_121)
<=> ( ( ( (X_490)
<=> $true )
& ( X_489 = 1 ) )
| ( ( (X_490)
<=> $false )
& ( X_489 = 0 ) ) ) ) ).
tff('Define:ctx:460',axiom,
mem0(g_s372_360,g_s236_232) ).
tff('Define:ctx:461',axiom,
mem0(g_s373_361,g_s236_232) ).
tff('Define:ctx:462',axiom,
mem0(g_s374_362,g_s129_127) ).
tff('Define:ctx:463',axiom,
mem0(g_s375_363,g_s129_127) ).
tff('Define:ctx:464',axiom,
mem0(g_s376_364,g_s236_232) ).
tff('Define:ctx:465',axiom,
mem0(g_s377_365,g_s129_127) ).
tff('Define:ctx:466',axiom,
$greater(g_s378_366,0) ).
tff('Define:ctx:467',axiom,
mem0(g_s379_367,g_s176_172) ).
tff('Define:ctx:468',axiom,
mem0(g_s380_368,g_s176_172) ).
tff('Define:ctx:469',axiom,
mem0(g_s378_366,g_s236_232) ).
tff('Define:ctx:47',axiom,
! [X_491: $int] :
( mem0(X_491,g_s124_122)
<=> ( $greatereq(X_491,min_int)
& $lesseq(X_491,max_int) ) ) ).
tff('Define:ctx:470',axiom,
! [X_2278: $int,X_2279: $int,X_2280: $int,X_2281: $int] :
( mem9(X_2281,X_2280,X_2279,X_2278,g_s381_369)
=> ( mem0(X_2281,g_s231_227)
& mem0(X_2280,g_s213_209)
& mem0(X_2279,g_s190_186)
& mem0(X_2278,g_s66_66) ) ) ).
tff('Define:ctx:471',axiom,
! [X_2282: $o,X_2283: $int,X_2284: $o,X_2285: $int] :
( mem10(X_2285,(X_2284),X_2283,(X_2282),g_s382_370)
=> ( mem0(X_2285,g_s231_227)
& $true
& mem0(X_2283,g_s190_186)
& $true ) ) ).
tff('Define:ctx:48',axiom,
! [X_492: $int] :
( mem0(X_492,g_s125_123)
<=> ( $greatereq(X_492,0)
& $lesseq(X_492,max_int) ) ) ).
tff('Define:ctx:49',axiom,
! [X_493: $int] :
( mem0(X_493,g_s126_124)
<=> ( $greater(X_493,0)
& $lesseq(X_493,max_int) ) ) ).
tff('Define:ctx:5',axiom,
( ~ ! [X_100: $int] :
( mem0(X_100,g_s5_5)
<=> $false )
& ! [X_103: $int] :
( mem0(X_103,g_s5_5)
=> $true )
& ? [X_101: $int,X_102: set_2] :
( ? [X_104: set_2] :
( ! [X_105: $int,X_106: $int] :
( mem2(X_106,X_105,X_104)
<=> mem2(X_106,X_105,X_102) )
& ! [X_107: $int,X_108: $int,X_109: $int] :
( ( mem2(X_107,X_108,X_104)
& mem2(X_107,X_109,X_104) )
=> ( X_108 = X_109 ) )
& ! [X_110: $int] :
( ( $greatereq(X_110,1)
& $lesseq(X_110,X_101) )
<=> ? [X_111: $int] : mem2(X_110,X_111,X_104) )
& ! [X_112: $int] :
( ? [X_113: $int] : mem2(X_113,X_112,X_104)
=> mem0(X_112,g_s5_5) ) )
& ! [X_114: $int] :
( mem0(X_114,g_s5_5)
=> ? [X_115: $int] : mem2(X_115,X_114,X_102) )
& ! [X_116: $int,X_117: $int,X_118: $int] :
( ( mem2(X_117,X_116,X_102)
& mem2(X_118,X_116,X_102) )
=> ( X_117 = X_118 ) ) ) ) ).
tff('Define:ctx:50',axiom,
! [X_494: $int] :
( mem0(X_494,g_s126_124)
=> mem0(X_494,g_s125_123) ) ).
tff('Define:ctx:51',axiom,
! [X_495: $int] :
( mem0(X_495,g_s125_123)
=> mem0(X_495,g_s124_122) ) ).
tff('Define:ctx:52',axiom,
mem0(g_s127_125,g_s124_122) ).
tff('Define:ctx:53',axiom,
mem0(g_s127_125,g_s125_123) ).
tff('Define:ctx:54',axiom,
~ mem0(g_s127_125,g_s126_124) ).
tff('Define:ctx:55',axiom,
mem0(g_s128_126,g_s124_122) ).
tff('Define:ctx:56',axiom,
~ mem0(g_s128_126,g_s125_123) ).
tff('Define:ctx:57',axiom,
! [X_496: $int] :
( mem0(X_496,g_s129_127)
<=> ( $greatereq(X_496,min_int)
& $lesseq(X_496,max_int) ) ) ).
tff('Define:ctx:58',axiom,
! [X_497: $int] :
( mem0(X_497,g_s130_128)
=> mem0(X_497,g_s10_10) ) ).
tff('Define:ctx:59',axiom,
mem0(g_s131_129,g_s10_10) ).
tff('Define:ctx:6',axiom,
( ~ ! [X_119: $int] :
( mem0(X_119,g_s6_6)
<=> $false )
& ! [X_122: $int] :
( mem0(X_122,g_s6_6)
=> $true )
& ? [X_120: $int,X_121: set_2] :
( ? [X_123: set_2] :
( ! [X_124: $int,X_125: $int] :
( mem2(X_125,X_124,X_123)
<=> mem2(X_125,X_124,X_121) )
& ! [X_126: $int,X_127: $int,X_128: $int] :
( ( mem2(X_126,X_127,X_123)
& mem2(X_126,X_128,X_123) )
=> ( X_127 = X_128 ) )
& ! [X_129: $int] :
( ( $greatereq(X_129,1)
& $lesseq(X_129,X_120) )
<=> ? [X_130: $int] : mem2(X_129,X_130,X_123) )
& ! [X_131: $int] :
( ? [X_132: $int] : mem2(X_132,X_131,X_123)
=> mem0(X_131,g_s6_6) ) )
& ! [X_133: $int] :
( mem0(X_133,g_s6_6)
=> ? [X_134: $int] : mem2(X_134,X_133,X_121) )
& ! [X_135: $int,X_136: $int,X_137: $int] :
( ( mem2(X_136,X_135,X_121)
& mem2(X_137,X_135,X_121) )
=> ( X_136 = X_137 ) ) ) ) ).
tff('Define:ctx:60',axiom,
mem0(g_s131_129,g_s130_128) ).
tff('Define:ctx:61',axiom,
mem0(g_s132_130,g_s10_10) ).
tff('Define:ctx:62',axiom,
~ mem0(g_s132_130,g_s130_128) ).
tff('Define:ctx:63',axiom,
( ! [X_498: $int,X_499: $int] :
( mem2(X_499,X_498,g_s133_131)
=> ( $greatereq(X_499,0)
& $lesseq(X_499,max_int)
& mem0(X_498,g_s10_10) ) )
& ! [X_500: $int,X_501: $int,X_502: $int] :
( ( mem2(X_500,X_501,g_s133_131)
& mem2(X_500,X_502,g_s133_131) )
=> ( X_501 = X_502 ) ) ) ).
tff('Define:ctx:64',axiom,
? [X_503: $int] :
( ? [X_504: set_2] :
( ! [X_505: $int,X_506: $int] :
( mem2(X_506,X_505,X_504)
<=> mem2(X_506,X_505,g_s133_131) )
& ! [X_507: $int,X_508: $int,X_509: $int] :
( ( mem2(X_507,X_508,X_504)
& mem2(X_507,X_509,X_504) )
=> ( X_508 = X_509 ) )
& ! [X_510: $int] :
( ( $greatereq(X_510,1)
& $lesseq(X_510,X_503) )
<=> ? [X_511: $int] : mem2(X_510,X_511,X_504) )
& ! [X_512: $int] :
( ? [X_513: $int] : mem2(X_513,X_512,X_504)
=> mem0(X_512,g_s130_128) ) )
& ! [X_514: $int] :
( mem0(X_514,g_s130_128)
=> ? [X_515: $int] : mem2(X_515,X_514,g_s133_131) )
& ! [X_516: $int,X_517: $int,X_518: $int] :
( ( mem2(X_517,X_516,g_s133_131)
& mem2(X_518,X_516,g_s133_131) )
=> ( X_517 = X_518 ) ) ) ).
tff('Define:ctx:65',axiom,
? [X_519: set_2] :
( ? [X_520: set_2] :
( ! [X_521: $int,X_522: $int] :
( mem2(X_522,X_521,X_520)
<=> mem2(X_522,X_521,X_519) )
& ! [X_523: $int,X_524: $int,X_525: $int] :
( ( mem2(X_523,X_524,X_520)
& mem2(X_523,X_525,X_520) )
=> ( X_524 = X_525 ) )
& ! [X_526: $int] :
( mem0(X_526,g_s130_128)
<=> ? [X_527: $int] : mem2(X_526,X_527,X_520) )
& ! [X_528: $int] :
( ? [X_529: $int] : mem2(X_529,X_528,X_520)
=> ( $greatereq(X_528,1)
& $lesseq(X_528,g_s134_132) ) ) )
& ! [X_530: $int] :
( ( $greatereq(X_530,1)
& $lesseq(X_530,g_s134_132) )
=> ? [X_531: $int] : mem2(X_531,X_530,X_519) )
& ! [X_532: $int,X_533: $int,X_534: $int] :
( ( mem2(X_533,X_532,X_519)
& mem2(X_534,X_532,X_519) )
=> ( X_533 = X_534 ) ) ) ).
tff('Define:ctx:66',axiom,
! [X_535: $int] :
( mem0(X_535,g_s135_133)
=> mem0(X_535,g_s11_11) ) ).
tff('Define:ctx:67',axiom,
mem0(g_s136_134,g_s11_11) ).
tff('Define:ctx:68',axiom,
mem0(g_s136_134,g_s135_133) ).
tff('Define:ctx:69',axiom,
mem0(g_s137_135,g_s11_11) ).
tff('Define:ctx:7',axiom,
( ~ ! [X_138: $int] :
( mem0(X_138,g_s7_7)
<=> $false )
& ! [X_141: $int] :
( mem0(X_141,g_s7_7)
=> $true )
& ? [X_139: $int,X_140: set_2] :
( ? [X_142: set_2] :
( ! [X_143: $int,X_144: $int] :
( mem2(X_144,X_143,X_142)
<=> mem2(X_144,X_143,X_140) )
& ! [X_145: $int,X_146: $int,X_147: $int] :
( ( mem2(X_145,X_146,X_142)
& mem2(X_145,X_147,X_142) )
=> ( X_146 = X_147 ) )
& ! [X_148: $int] :
( ( $greatereq(X_148,1)
& $lesseq(X_148,X_139) )
<=> ? [X_149: $int] : mem2(X_148,X_149,X_142) )
& ! [X_150: $int] :
( ? [X_151: $int] : mem2(X_151,X_150,X_142)
=> mem0(X_150,g_s7_7) ) )
& ! [X_152: $int] :
( mem0(X_152,g_s7_7)
=> ? [X_153: $int] : mem2(X_153,X_152,X_140) )
& ! [X_154: $int,X_155: $int,X_156: $int] :
( ( mem2(X_155,X_154,X_140)
& mem2(X_156,X_154,X_140) )
=> ( X_155 = X_156 ) ) ) ) ).
tff('Define:ctx:70',axiom,
~ mem0(g_s137_135,g_s135_133) ).
tff('Define:ctx:71',axiom,
( ! [X_536: $int,X_537: $int] :
( mem2(X_537,X_536,g_s138_136)
=> ( $greatereq(X_537,0)
& $lesseq(X_537,max_int)
& mem0(X_536,g_s11_11) ) )
& ! [X_538: $int,X_539: $int,X_540: $int] :
( ( mem2(X_538,X_539,g_s138_136)
& mem2(X_538,X_540,g_s138_136) )
=> ( X_539 = X_540 ) ) ) ).
tff('Define:ctx:72',axiom,
? [X_541: $int] :
( ? [X_542: set_2] :
( ! [X_543: $int,X_544: $int] :
( mem2(X_544,X_543,X_542)
<=> mem2(X_544,X_543,g_s138_136) )
& ! [X_545: $int,X_546: $int,X_547: $int] :
( ( mem2(X_545,X_546,X_542)
& mem2(X_545,X_547,X_542) )
=> ( X_546 = X_547 ) )
& ! [X_548: $int] :
( ( $greatereq(X_548,1)
& $lesseq(X_548,X_541) )
<=> ? [X_549: $int] : mem2(X_548,X_549,X_542) )
& ! [X_550: $int] :
( ? [X_551: $int] : mem2(X_551,X_550,X_542)
=> mem0(X_550,g_s135_133) ) )
& ! [X_552: $int] :
( mem0(X_552,g_s135_133)
=> ? [X_553: $int] : mem2(X_553,X_552,g_s138_136) )
& ! [X_554: $int,X_555: $int,X_556: $int] :
( ( mem2(X_555,X_554,g_s138_136)
& mem2(X_556,X_554,g_s138_136) )
=> ( X_555 = X_556 ) ) ) ).
tff('Define:ctx:73',axiom,
? [X_557: set_2] :
( ? [X_558: set_2] :
( ! [X_559: $int,X_560: $int] :
( mem2(X_560,X_559,X_558)
<=> mem2(X_560,X_559,X_557) )
& ! [X_561: $int,X_562: $int,X_563: $int] :
( ( mem2(X_561,X_562,X_558)
& mem2(X_561,X_563,X_558) )
=> ( X_562 = X_563 ) )
& ! [X_564: $int] :
( mem0(X_564,g_s135_133)
<=> ? [X_565: $int] : mem2(X_564,X_565,X_558) )
& ! [X_566: $int] :
( ? [X_567: $int] : mem2(X_567,X_566,X_558)
=> ( $greatereq(X_566,1)
& $lesseq(X_566,g_s139_137) ) ) )
& ! [X_568: $int] :
( ( $greatereq(X_568,1)
& $lesseq(X_568,g_s139_137) )
=> ? [X_569: $int] : mem2(X_569,X_568,X_557) )
& ! [X_570: $int,X_571: $int,X_572: $int] :
( ( mem2(X_571,X_570,X_557)
& mem2(X_572,X_570,X_557) )
=> ( X_571 = X_572 ) ) ) ).
tff('Define:ctx:74',axiom,
( ! [X_573: $int,X_574: $int,X_575: $int] :
( mem3(X_575,X_574,X_573,g_s140_138)
=> ( mem0(X_575,g_s129_127)
& mem0(X_574,g_s129_127)
& mem0(X_573,g_s129_127) ) )
& ! [X_576: $int,X_577: $int,X_578: $int,X_579: $int] :
( ( mem3(X_577,X_576,X_578,g_s140_138)
& mem3(X_577,X_576,X_579,g_s140_138) )
=> ( X_578 = X_579 ) ) ) ).
tff('Define:ctx:75',axiom,
! [X_580: $int] :
( mem0(X_580,g_s141_139)
=> mem0(X_580,g_s129_127) ) ).
tff('Define:ctx:76',axiom,
? [X_581: set_3] :
( ! [X_582: $int,X_583: $int,X_584: $int] :
( mem3(X_584,X_583,X_582,X_581)
<=> mem3(X_584,X_583,X_582,g_s142_140) )
& ! [X_585: $int,X_586: $int,X_587: $int,X_588: $int] :
( ( mem3(X_586,X_585,X_587,X_581)
& mem3(X_586,X_585,X_588,X_581) )
=> ( X_587 = X_588 ) )
& ! [X_589: $int,X_590: $int] :
( ( mem0(X_590,g_s125_123)
& mem0(X_589,g_s125_123) )
<=> ? [X_591: $int] : mem3(X_590,X_589,X_591,X_581) )
& ! [X_592: $int] :
( ? [X_593: $int,X_594: $int] : mem3(X_594,X_593,X_592,X_581)
=> mem0(X_592,g_s129_127) ) ) ).
tff('Define:ctx:77',axiom,
( ! [X_595: $int,X_596: $int,X_597: $int] :
( mem3(X_597,X_596,X_595,g_s143_141)
=> ( mem0(X_597,g_s125_123)
& mem0(X_596,g_s129_127)
& mem0(X_595,g_s125_123) ) )
& ! [X_598: $int,X_599: $int,X_600: $int,X_601: $int] :
( ( mem3(X_599,X_598,X_600,g_s143_141)
& mem3(X_599,X_598,X_601,g_s143_141) )
=> ( X_600 = X_601 ) ) ) ).
tff('Define:ctx:78',axiom,
? [X_602: set_3] :
( ! [X_603: $int,X_604: $int,X_605: $int] :
( mem3(X_605,X_604,X_603,X_602)
<=> mem3(X_605,X_604,X_603,g_s144_142) )
& ! [X_606: $int,X_607: $int,X_608: $int,X_609: $int] :
( ( mem3(X_607,X_606,X_608,X_602)
& mem3(X_607,X_606,X_609,X_602) )
=> ( X_608 = X_609 ) )
& ! [X_610: $int,X_611: $int] :
( ( mem0(X_611,g_s125_123)
& mem0(X_610,g_s129_127) )
<=> ? [X_612: $int] : mem3(X_611,X_610,X_612,X_602) )
& ! [X_613: $int] :
( ? [X_614: $int,X_615: $int] : mem3(X_615,X_614,X_613,X_602)
=> mem0(X_613,g_s125_123) ) ) ).
tff('Define:ctx:79',axiom,
? [X_616: set_5] :
( ! [X_617: set_0,X_618: $int,X_619: $int] :
( mem5(X_619,X_618,X_617,X_616)
<=> mem5(X_619,X_618,X_617,g_s145_143) )
& ! [X_620: $int,X_621: $int,X_622: set_0,X_623: set_0] :
( ( mem5(X_621,X_620,X_622,X_616)
& mem5(X_621,X_620,X_623,X_616) )
=> ! [X_624: $int] :
( mem0(X_624,X_622)
<=> mem0(X_624,X_623) ) )
& ! [X_625: $int,X_626: $int] :
( ( mem0(X_626,g_s125_123)
& mem0(X_625,g_s129_127) )
<=> ? [X_627: set_0] : mem5(X_626,X_625,X_627,X_616) )
& ! [X_628: set_0] :
( ? [X_629: $int,X_630: $int] : mem5(X_630,X_629,X_628,X_616)
=> ! [X_631: $int] :
( mem0(X_631,X_628)
=> mem0(X_631,g_s125_123) ) ) ) ).
tff('Define:ctx:8',axiom,
( ~ ! [X_157: $int] :
( mem0(X_157,g_s8_8)
<=> $false )
& ! [X_160: $int] :
( mem0(X_160,g_s8_8)
=> $true )
& ? [X_158: $int,X_159: set_2] :
( ? [X_161: set_2] :
( ! [X_162: $int,X_163: $int] :
( mem2(X_163,X_162,X_161)
<=> mem2(X_163,X_162,X_159) )
& ! [X_164: $int,X_165: $int,X_166: $int] :
( ( mem2(X_164,X_165,X_161)
& mem2(X_164,X_166,X_161) )
=> ( X_165 = X_166 ) )
& ! [X_167: $int] :
( ( $greatereq(X_167,1)
& $lesseq(X_167,X_158) )
<=> ? [X_168: $int] : mem2(X_167,X_168,X_161) )
& ! [X_169: $int] :
( ? [X_170: $int] : mem2(X_170,X_169,X_161)
=> mem0(X_169,g_s8_8) ) )
& ! [X_171: $int] :
( mem0(X_171,g_s8_8)
=> ? [X_172: $int] : mem2(X_172,X_171,X_159) )
& ! [X_173: $int,X_174: $int,X_175: $int] :
( ( mem2(X_174,X_173,X_159)
& mem2(X_175,X_173,X_159) )
=> ( X_174 = X_175 ) ) ) ) ).
tff('Define:ctx:80',axiom,
? [X_632: set_5] :
( ! [X_633: set_0,X_634: $int,X_635: $int] :
( mem5(X_635,X_634,X_633,X_632)
<=> mem5(X_635,X_634,X_633,g_s146_144) )
& ! [X_636: $int,X_637: $int,X_638: set_0,X_639: set_0] :
( ( mem5(X_637,X_636,X_638,X_632)
& mem5(X_637,X_636,X_639,X_632) )
=> ! [X_640: $int] :
( mem0(X_640,X_638)
<=> mem0(X_640,X_639) ) )
& ! [X_641: $int,X_642: $int] :
( ( mem0(X_642,g_s125_123)
& mem0(X_641,g_s125_123) )
<=> ? [X_643: set_0] : mem5(X_642,X_641,X_643,X_632) )
& ! [X_644: set_0] :
( ? [X_645: $int,X_646: $int] : mem5(X_646,X_645,X_644,X_632)
=> ! [X_647: $int] :
( mem0(X_647,X_644)
=> mem0(X_647,g_s125_123) ) ) ) ).
tff('Define:ctx:81',axiom,
? [X_648: set_5] :
( ! [X_649: set_0,X_650: $int,X_651: $int] :
( mem5(X_651,X_650,X_649,X_648)
<=> mem5(X_651,X_650,X_649,g_s147_145) )
& ! [X_652: $int,X_653: $int,X_654: set_0,X_655: set_0] :
( ( mem5(X_653,X_652,X_654,X_648)
& mem5(X_653,X_652,X_655,X_648) )
=> ! [X_656: $int] :
( mem0(X_656,X_654)
<=> mem0(X_656,X_655) ) )
& ! [X_657: $int,X_658: $int] :
( ( mem0(X_658,g_s125_123)
& mem0(X_657,g_s125_123) )
<=> ? [X_659: set_0] : mem5(X_658,X_657,X_659,X_648) )
& ! [X_660: set_0] :
( ? [X_661: $int,X_662: $int] : mem5(X_662,X_661,X_660,X_648)
=> ! [X_663: $int] :
( mem0(X_663,X_660)
=> mem0(X_663,g_s125_123) ) ) ) ).
tff('Define:ctx:82',axiom,
? [X_664: set_5] :
( ! [X_665: set_0,X_666: $int,X_667: $int] :
( mem5(X_667,X_666,X_665,X_664)
<=> mem5(X_667,X_666,X_665,g_s148_146) )
& ! [X_668: $int,X_669: $int,X_670: set_0,X_671: set_0] :
( ( mem5(X_669,X_668,X_670,X_664)
& mem5(X_669,X_668,X_671,X_664) )
=> ! [X_672: $int] :
( mem0(X_672,X_670)
<=> mem0(X_672,X_671) ) )
& ! [X_673: $int,X_674: $int] :
( ( mem0(X_674,g_s125_123)
& mem0(X_673,g_s125_123) )
<=> ? [X_675: set_0] : mem5(X_674,X_673,X_675,X_664) )
& ! [X_676: set_0] :
( ? [X_677: $int,X_678: $int] : mem5(X_678,X_677,X_676,X_664)
=> ! [X_679: $int] :
( mem0(X_679,X_676)
=> mem0(X_679,g_s125_123) ) ) ) ).
tff('Define:ctx:83',axiom,
? [X_680: set_5] :
( ! [X_681: set_0,X_682: $int,X_683: $int] :
( mem5(X_683,X_682,X_681,X_680)
<=> mem5(X_683,X_682,X_681,g_s149_147) )
& ! [X_684: $int,X_685: $int,X_686: set_0,X_687: set_0] :
( ( mem5(X_685,X_684,X_686,X_680)
& mem5(X_685,X_684,X_687,X_680) )
=> ! [X_688: $int] :
( mem0(X_688,X_686)
<=> mem0(X_688,X_687) ) )
& ! [X_689: $int,X_690: $int] :
( ( mem0(X_690,g_s125_123)
& mem0(X_689,g_s125_123) )
<=> ? [X_691: set_0] : mem5(X_690,X_689,X_691,X_680) )
& ! [X_692: set_0] :
( ? [X_693: $int,X_694: $int] : mem5(X_694,X_693,X_692,X_680)
=> ! [X_695: $int] :
( mem0(X_695,X_692)
=> mem0(X_695,g_s125_123) ) ) ) ).
tff('Define:ctx:84',axiom,
! [X_696: $int,X_697: $int] :
( mem2(X_697,X_696,g_s150_148)
=> ( mem0(X_697,g_s125_123)
& mem0(X_696,g_s125_123) ) ) ).
tff('Define:ctx:85',axiom,
! [X_698: $int,X_699: $int] :
( mem2(X_699,X_698,g_s151_149)
=> ( mem0(X_699,g_s125_123)
& mem0(X_698,g_s125_123) ) ) ).
tff('Define:ctx:86',axiom,
! [X_700: $int,X_701: $int,X_702: $int] :
( mem3(X_702,X_701,X_700,g_s152_150)
=> ( mem0(X_702,g_s125_123)
& mem0(X_701,g_s129_127)
& mem0(X_700,g_s125_123) ) ) ).
tff('Define:ctx:87',axiom,
! [X_703: $int,X_704: $int,X_705: $int] :
( mem3(X_705,X_704,X_703,g_s153_151)
=> ( mem0(X_705,g_s125_123)
& mem0(X_704,g_s129_127)
& mem0(X_703,g_s125_123) ) ) ).
tff('Define:ctx:88',axiom,
! [X_706: $int,X_707: $int,X_708: $int] :
( mem3(X_708,X_707,X_706,g_s154_152)
=> ( mem0(X_708,g_s125_123)
& mem0(X_707,g_s129_127)
& mem0(X_706,g_s125_123) ) ) ).
tff('Define:ctx:89',axiom,
! [X_709: $int,X_710: $int,X_711: $int] :
( mem3(X_711,X_710,X_709,g_s155_153)
=> ( mem0(X_711,g_s125_123)
& mem0(X_710,g_s129_127)
& mem0(X_709,g_s125_123) ) ) ).
tff('Define:ctx:9',axiom,
( ~ ! [X_176: $int] :
( mem0(X_176,g_s9_9)
<=> $false )
& ! [X_179: $int] :
( mem0(X_179,g_s9_9)
=> $true )
& ? [X_177: $int,X_178: set_2] :
( ? [X_180: set_2] :
( ! [X_181: $int,X_182: $int] :
( mem2(X_182,X_181,X_180)
<=> mem2(X_182,X_181,X_178) )
& ! [X_183: $int,X_184: $int,X_185: $int] :
( ( mem2(X_183,X_184,X_180)
& mem2(X_183,X_185,X_180) )
=> ( X_184 = X_185 ) )
& ! [X_186: $int] :
( ( $greatereq(X_186,1)
& $lesseq(X_186,X_177) )
<=> ? [X_187: $int] : mem2(X_186,X_187,X_180) )
& ! [X_188: $int] :
( ? [X_189: $int] : mem2(X_189,X_188,X_180)
=> mem0(X_188,g_s9_9) ) )
& ! [X_190: $int] :
( mem0(X_190,g_s9_9)
=> ? [X_191: $int] : mem2(X_191,X_190,X_178) )
& ! [X_192: $int,X_193: $int,X_194: $int] :
( ( mem2(X_193,X_192,X_178)
& mem2(X_194,X_192,X_178) )
=> ( X_193 = X_194 ) ) ) ) ).
tff('Define:ctx:90',axiom,
! [X_712: $int,X_713: $int] :
( mem2(X_713,X_712,g_s156_154)
=> ( mem0(X_713,g_s125_123)
& mem0(X_712,g_s125_123) ) ) ).
tff('Define:ctx:91',axiom,
! [X_714: $int,X_715: $int] :
( mem2(X_715,X_714,g_s157_155)
=> ( mem0(X_715,g_s125_123)
& mem0(X_714,g_s125_123) ) ) ).
tff('Define:ctx:92',axiom,
! [X_716: $int,X_717: $int,X_718: $int] :
( mem3(X_718,X_717,X_716,g_s158_156)
=> ( mem0(X_718,g_s125_123)
& mem0(X_717,g_s129_127)
& mem0(X_716,g_s125_123) ) ) ).
tff('Define:ctx:93',axiom,
! [X_719: $int,X_720: $int,X_721: $int] :
( mem3(X_721,X_720,X_719,g_s159_157)
=> ( mem0(X_721,g_s125_123)
& mem0(X_720,g_s129_127)
& mem0(X_719,g_s125_123) ) ) ).
tff('Define:ctx:94',axiom,
! [X_722: $int,X_723: $int,X_724: $int] :
( mem3(X_724,X_723,X_722,g_s160_158)
=> ( mem0(X_724,g_s125_123)
& mem0(X_723,g_s129_127)
& mem0(X_722,g_s125_123) ) ) ).
tff('Define:ctx:95',axiom,
! [X_725: $int,X_726: $int,X_727: $int] :
( mem3(X_727,X_726,X_725,g_s161_159)
=> ( mem0(X_727,g_s125_123)
& mem0(X_726,g_s129_127)
& mem0(X_725,g_s125_123) ) ) ).
tff('Define:ctx:96',axiom,
? [X_728: set_3] :
( ! [X_729: $int,X_730: $int,X_731: $int] :
( mem3(X_731,X_730,X_729,X_728)
<=> mem3(X_731,X_730,X_729,g_s162_160) )
& ! [X_732: $int,X_733: $int,X_734: $int,X_735: $int] :
( ( mem3(X_733,X_732,X_734,X_728)
& mem3(X_733,X_732,X_735,X_728) )
=> ( X_734 = X_735 ) )
& ! [X_736: $int,X_737: $int] :
( ( mem0(X_737,g_s125_123)
& mem0(X_736,g_s125_123) )
<=> ? [X_738: $int] : mem3(X_737,X_736,X_738,X_728) )
& ! [X_739: $int] :
( ? [X_740: $int,X_741: $int] : mem3(X_741,X_740,X_739,X_728)
=> mem0(X_739,g_s125_123) ) ) ).
tff('Define:ctx:97',axiom,
? [X_742: set_3] :
( ! [X_743: $int,X_744: $int,X_745: $int] :
( mem3(X_745,X_744,X_743,X_742)
<=> mem3(X_745,X_744,X_743,g_s163_161) )
& ! [X_746: $int,X_747: $int,X_748: $int,X_749: $int] :
( ( mem3(X_747,X_746,X_748,X_742)
& mem3(X_747,X_746,X_749,X_742) )
=> ( X_748 = X_749 ) )
& ! [X_750: $int,X_751: $int] :
( ( mem0(X_751,g_s125_123)
& mem0(X_750,g_s125_123) )
<=> ? [X_752: $int] : mem3(X_751,X_750,X_752,X_742) )
& ! [X_753: $int] :
( ? [X_754: $int,X_755: $int] : mem3(X_755,X_754,X_753,X_742)
=> mem0(X_753,g_s125_123) ) ) ).
tff('Define:ctx:98',axiom,
! [X_756: $int,X_757: $int] :
( ? [X_758: $int] : mem3(X_757,X_756,X_758,g_s143_141)
<=> ( mem0(X_757,g_s125_123)
& $greatereq(X_756,0)
& $lesseq(X_756,max_int) ) ) ).
tff('Define:ctx:99',axiom,
! [X_759: $int,X_760: $int] :
( ? [X_761: $int] : mem3(X_760,X_759,X_761,g_s140_138)
<=> ( mem0(X_760,g_s129_127)
& mem0(X_759,g_s129_127)
& $greatereq(X_759,0) ) ) ).
tff('Define:inv:0',axiom,
! [X_3085: $int,X_3086: $int] :
( mem2(X_3086,X_3085,g_s596_579)
<=> mem2(X_3086,X_3085,g_s596_1_600) ) ).
tff('Define:inv:1',axiom,
! [X_3087: $int,X_3088: $int] :
( mem2(X_3088,X_3087,g_s597_580)
<=> mem2(X_3088,X_3087,g_s597_1_601) ) ).
tff('Define:inv:10',axiom,
! [X_3105: $int,X_3106: $int] :
( mem2(X_3106,X_3105,g_s606_589)
<=> mem2(X_3106,X_3105,g_s606_1_610) ) ).
tff('Define:inv:11',axiom,
! [X_3107: $int,X_3108: $int] :
( mem2(X_3108,X_3107,g_s607_590)
<=> mem2(X_3108,X_3107,g_s607_1_611) ) ).
tff('Define:inv:12',axiom,
! [X_3109: $int] :
( mem0(X_3109,g_s608_591)
<=> mem0(X_3109,g_s608_1_612) ) ).
tff('Define:inv:13',axiom,
! [X_3110: $int,X_3111: $int] :
( mem2(X_3111,X_3110,g_s609_592)
<=> mem2(X_3111,X_3110,g_s609_1_613) ) ).
tff('Define:inv:14',axiom,
! [X_3112: $int,X_3113: $int] :
( mem2(X_3113,X_3112,g_s610_593)
<=> mem2(X_3113,X_3112,g_s610_1_614) ) ).
tff('Define:inv:15',axiom,
! [X_3114: $int] :
( mem0(X_3114,g_s611_594)
<=> mem0(X_3114,g_s611_1_615) ) ).
tff('Define:inv:16',axiom,
! [X_3115: $int,X_3116: $int] :
( mem2(X_3116,X_3115,g_s614_597)
<=> mem2(X_3116,X_3115,g_s614_1_616) ) ).
tff('Define:inv:17',axiom,
! [X_3117: $int] :
( mem0(X_3117,g_s612_595)
<=> mem0(X_3117,g_s612_1_617) ) ).
tff('Define:inv:18',axiom,
! [X_3118: $int] :
( mem0(X_3118,g_s613_596)
<=> mem0(X_3118,g_s613_1_618) ) ).
tff('Define:inv:19',axiom,
( ! [X_3119: $int,X_3120: $int] :
( mem2(X_3120,X_3119,g_s596_1_600)
=> ( mem0(X_3120,g_s231_227)
& mem0(X_3119,g_s201_197) ) )
& ! [X_3121: $int,X_3122: $int,X_3123: $int] :
( ( mem2(X_3121,X_3122,g_s596_1_600)
& mem2(X_3121,X_3123,g_s596_1_600) )
=> ( X_3122 = X_3123 ) ) ) ).
tff('Define:inv:2',axiom,
! [X_3089: $int,X_3090: $int] :
( mem2(X_3090,X_3089,g_s598_581)
<=> mem2(X_3090,X_3089,g_s598_1_602) ) ).
tff('Define:inv:20',axiom,
( ! [X_3124: $int,X_3125: $int] :
( mem2(X_3125,X_3124,g_s597_1_601)
=> ( mem0(X_3125,g_s231_227)
& mem0(X_3124,g_s201_197) ) )
& ! [X_3126: $int,X_3127: $int,X_3128: $int] :
( ( mem2(X_3126,X_3127,g_s597_1_601)
& mem2(X_3126,X_3128,g_s597_1_601) )
=> ( X_3127 = X_3128 ) ) ) ).
tff('Define:inv:21',axiom,
( ! [X_3129: $int,X_3130: $int] :
( mem2(X_3130,X_3129,g_s598_1_602)
=> ( mem0(X_3130,g_s231_227)
& mem0(X_3129,g_s231_227) ) )
& ! [X_3131: $int,X_3132: $int,X_3133: $int] :
( ( mem2(X_3131,X_3132,g_s598_1_602)
& mem2(X_3131,X_3133,g_s598_1_602) )
=> ( X_3132 = X_3133 ) ) ) ).
tff('Define:inv:22',axiom,
( ! [X_3134: $int,X_3135: $int] :
( mem2(X_3135,X_3134,g_s599_1_603)
=> ( mem0(X_3135,g_s231_227)
& mem0(X_3134,g_s201_197) ) )
& ! [X_3136: $int,X_3137: $int,X_3138: $int] :
( ( mem2(X_3136,X_3137,g_s599_1_603)
& mem2(X_3136,X_3138,g_s599_1_603) )
=> ( X_3137 = X_3138 ) ) ) ).
tff('Define:inv:23',axiom,
( ! [X_3139: $int,X_3140: $int] :
( mem2(X_3140,X_3139,g_s600_1_604)
=> ( mem0(X_3140,g_s231_227)
& mem0(X_3139,g_s201_197) ) )
& ! [X_3141: $int,X_3142: $int,X_3143: $int] :
( ( mem2(X_3141,X_3142,g_s600_1_604)
& mem2(X_3141,X_3143,g_s600_1_604) )
=> ( X_3142 = X_3143 ) ) ) ).
tff('Define:inv:24',axiom,
( ! [X_3144: $int,X_3145: $int] :
( mem2(X_3145,X_3144,g_s601_1_605)
=> ( mem0(X_3145,g_s231_227)
& mem0(X_3144,g_s201_197) ) )
& ! [X_3146: $int,X_3147: $int,X_3148: $int] :
( ( mem2(X_3146,X_3147,g_s601_1_605)
& mem2(X_3146,X_3148,g_s601_1_605) )
=> ( X_3147 = X_3148 ) ) ) ).
tff('Define:inv:25',axiom,
( ! [X_3149: $int,X_3150: $int] :
( mem2(X_3150,X_3149,g_s602_1_606)
=> ( mem0(X_3150,g_s231_227)
& mem0(X_3149,g_s210_206) ) )
& ! [X_3151: $int,X_3152: $int,X_3153: $int] :
( ( mem2(X_3151,X_3152,g_s602_1_606)
& mem2(X_3151,X_3153,g_s602_1_606) )
=> ( X_3152 = X_3153 ) ) ) ).
tff('Define:inv:26',axiom,
( ! [X_3154: $int,X_3155: $int] :
( mem2(X_3155,X_3154,g_s603_1_607)
=> ( mem0(X_3155,g_s231_227)
& mem0(X_3154,g_s167_163) ) )
& ! [X_3156: $int,X_3157: $int,X_3158: $int] :
( ( mem2(X_3156,X_3157,g_s603_1_607)
& mem2(X_3156,X_3158,g_s603_1_607) )
=> ( X_3157 = X_3158 ) ) ) ).
tff('Define:inv:27',axiom,
( ! [X_3159: $int,X_3160: $int] :
( mem2(X_3160,X_3159,g_s604_1_608)
=> ( mem0(X_3160,g_s231_227)
& mem0(X_3159,g_s196_192) ) )
& ! [X_3161: $int,X_3162: $int,X_3163: $int] :
( ( mem2(X_3161,X_3162,g_s604_1_608)
& mem2(X_3161,X_3163,g_s604_1_608) )
=> ( X_3162 = X_3163 ) ) ) ).
tff('Define:inv:28',axiom,
( ! [X_3164: $int,X_3165: $int] :
( mem2(X_3165,X_3164,g_s605_1_609)
=> ( mem0(X_3165,g_s231_227)
& mem0(X_3164,g_s210_206) ) )
& ! [X_3166: $int,X_3167: $int,X_3168: $int] :
( ( mem2(X_3166,X_3167,g_s605_1_609)
& mem2(X_3166,X_3168,g_s605_1_609) )
=> ( X_3167 = X_3168 ) ) ) ).
tff('Define:inv:29',axiom,
( ! [X_3169: $int,X_3170: $int] :
( mem2(X_3170,X_3169,g_s606_1_610)
=> ( mem0(X_3170,g_s231_227)
& mem0(X_3169,g_s167_163) ) )
& ! [X_3171: $int,X_3172: $int,X_3173: $int] :
( ( mem2(X_3171,X_3172,g_s606_1_610)
& mem2(X_3171,X_3173,g_s606_1_610) )
=> ( X_3172 = X_3173 ) ) ) ).
tff('Define:inv:3',axiom,
! [X_3091: $int,X_3092: $int] :
( mem2(X_3092,X_3091,g_s599_582)
<=> mem2(X_3092,X_3091,g_s599_1_603) ) ).
tff('Define:inv:30',axiom,
( ! [X_3174: $int,X_3175: $int] :
( mem2(X_3175,X_3174,g_s607_1_611)
=> ( mem0(X_3175,g_s231_227)
& mem0(X_3174,g_s213_209) ) )
& ! [X_3176: $int,X_3177: $int,X_3178: $int] :
( ( mem2(X_3176,X_3177,g_s607_1_611)
& mem2(X_3176,X_3178,g_s607_1_611) )
=> ( X_3177 = X_3178 ) ) ) ).
tff('Define:inv:31',axiom,
! [X_3179: $int] :
( mem0(X_3179,g_s608_1_612)
=> mem0(X_3179,g_s231_227) ) ).
tff('Define:inv:32',axiom,
! [X_3180: $int,X_3181: $int] :
( mem2(X_3181,X_3180,g_s609_1_613)
=> ( mem0(X_3181,g_s190_186)
& mem0(X_3180,g_s213_209) ) ) ).
tff('Define:inv:33',axiom,
( ! [X_3182: $int,X_3183: $int] :
( mem2(X_3183,X_3182,g_s610_1_614)
=> ( mem0(X_3183,g_s231_227)
& mem0(X_3182,g_s190_186) ) )
& ! [X_3184: $int,X_3185: $int,X_3186: $int] :
( ( mem2(X_3184,X_3185,g_s610_1_614)
& mem2(X_3184,X_3186,g_s610_1_614) )
=> ( X_3185 = X_3186 ) ) ) ).
tff('Define:inv:34',axiom,
! [X_3187: $int] :
( mem0(X_3187,g_s611_1_615)
=> mem0(X_3187,g_s222_218) ) ).
tff('Define:inv:35',axiom,
! [X_3188: $int] :
( mem0(X_3188,g_s612_1_617)
=> mem0(X_3188,g_s222_218) ) ).
tff('Define:inv:36',axiom,
! [X_3189: $int] :
( mem0(X_3189,g_s613_1_618)
=> mem0(X_3189,g_s231_227) ) ).
tff('Define:inv:37',axiom,
( ! [X_3190: $int,X_3191: $int] :
( mem2(X_3191,X_3190,g_s617_1_619)
=> ( mem0(X_3191,g_s222_218)
& mem0(X_3190,g_s125_123) ) )
& ! [X_3192: $int,X_3193: $int,X_3194: $int] :
( ( mem2(X_3192,X_3193,g_s617_1_619)
& mem2(X_3192,X_3194,g_s617_1_619) )
=> ( X_3193 = X_3194 ) ) ) ).
tff('Define:inv:38',axiom,
( ! [X_3195: $int,X_3196: $int] :
( mem2(X_3196,X_3195,g_s614_1_616)
=> ( mem0(X_3196,g_s222_218)
& mem0(X_3195,g_s231_227) ) )
& ! [X_3197: $int,X_3198: $int,X_3199: $int] :
( ( mem2(X_3197,X_3198,g_s614_1_616)
& mem2(X_3197,X_3199,g_s614_1_616) )
=> ( X_3198 = X_3199 ) ) ) ).
tff('Define:inv:39',axiom,
? [X_3200: set_2] :
( ! [X_3201: $int,X_3202: $int] :
( mem2(X_3202,X_3201,X_3200)
<=> mem2(X_3202,X_3201,g_s618_1_620) )
& ! [X_3203: $int,X_3204: $int,X_3205: $int] :
( ( mem2(X_3203,X_3204,X_3200)
& mem2(X_3203,X_3205,X_3200) )
=> ( X_3204 = X_3205 ) )
& ! [X_3206: $int] :
( mem0(X_3206,g_s231_227)
<=> ? [X_3207: $int] : mem2(X_3206,X_3207,X_3200) )
& ! [X_3208: $int] :
( ? [X_3209: $int] : mem2(X_3209,X_3208,X_3200)
=> mem0(X_3208,g_s236_232) ) ) ).
tff('Define:inv:4',axiom,
! [X_3093: $int,X_3094: $int] :
( mem2(X_3094,X_3093,g_s600_583)
<=> mem2(X_3094,X_3093,g_s600_1_604) ) ).
tff('Define:inv:40',axiom,
( ! [X_3210: $int,X_3211: $int] :
( mem2(X_3211,X_3210,g_s619_1_621)
=> ( mem0(X_3211,g_s222_218)
& mem0(X_3210,g_s125_123) ) )
& ! [X_3212: $int,X_3213: $int,X_3214: $int] :
( ( mem2(X_3212,X_3213,g_s619_1_621)
& mem2(X_3212,X_3214,g_s619_1_621) )
=> ( X_3213 = X_3214 ) ) ) ).
tff('Define:inv:41',axiom,
? [X_3215: set_2] :
( ! [X_3216: $int,X_3217: $int] :
( mem2(X_3217,X_3216,X_3215)
<=> mem2(X_3217,X_3216,g_s620_1_622) )
& ! [X_3218: $int,X_3219: $int,X_3220: $int] :
( ( mem2(X_3218,X_3219,X_3215)
& mem2(X_3218,X_3220,X_3215) )
=> ( X_3219 = X_3220 ) )
& ! [X_3221: $int] :
( mem0(X_3221,g_s231_227)
<=> ? [X_3222: $int] : mem2(X_3221,X_3222,X_3215) )
& ! [X_3223: $int] :
( ? [X_3224: $int] : mem2(X_3224,X_3223,X_3215)
=> mem0(X_3223,g_s236_232) ) ) ).
tff('Define:inv:42',axiom,
! [X_3225: $int] :
( mem0(X_3225,g_s621_1_623)
=> mem0(X_3225,g_s231_227) ) ).
tff('Define:inv:43',axiom,
! [X_3226: $int] :
( mem0(X_3226,g_s622_1_624)
=> mem0(X_3226,g_s222_218) ) ).
tff('Define:inv:44',axiom,
! [X_3227: $int] :
( mem0(X_3227,g_s623_1_625)
=> mem0(X_3227,g_s222_218) ) ).
tff('Define:inv:45',axiom,
? [X_3228: set_2] :
( ! [X_3229: $int,X_3230: $int] :
( mem2(X_3230,X_3229,X_3228)
<=> mem2(X_3230,X_3229,g_s624_1_626) )
& ! [X_3231: $int,X_3232: $int,X_3233: $int] :
( ( mem2(X_3231,X_3232,X_3228)
& mem2(X_3231,X_3233,X_3228) )
=> ( X_3232 = X_3233 ) )
& ! [X_3234: $int] :
( mem0(X_3234,g_s222_218)
<=> ? [X_3235: $int] : mem2(X_3234,X_3235,X_3228) )
& ! [X_3236: $int] :
( ? [X_3237: $int] : mem2(X_3237,X_3236,X_3228)
=> mem0(X_3236,g_s236_232) ) ) ).
tff('Define:inv:46',axiom,
! [X_3238: $int] :
( mem0(X_3238,g_s615_598)
<=> ( ? [X_3239: $int] :
( mem2(X_3238,X_3239,g_s620_1_622)
& ( X_3239 != 0 ) )
| ? [X_3240: $int] :
( mem2(X_3238,X_3240,g_s618_1_620)
& ( X_3240 != 0 ) ) ) ) ).
tff('Define:inv:47',axiom,
! [X_3241: $int] :
( mem0(X_3241,g_s616_599)
<=> ? [X_3242: $int] :
( mem2(X_3241,X_3242,g_s624_1_626)
& ( X_3242 != 0 ) ) ) ).
tff('Define:inv:5',axiom,
! [X_3095: $int,X_3096: $int] :
( mem2(X_3096,X_3095,g_s601_584)
<=> mem2(X_3096,X_3095,g_s601_1_605) ) ).
tff('Define:inv:6',axiom,
! [X_3097: $int,X_3098: $int] :
( mem2(X_3098,X_3097,g_s602_585)
<=> mem2(X_3098,X_3097,g_s602_1_606) ) ).
tff('Define:inv:7',axiom,
! [X_3099: $int,X_3100: $int] :
( mem2(X_3100,X_3099,g_s603_586)
<=> mem2(X_3100,X_3099,g_s603_1_607) ) ).
tff('Define:inv:8',axiom,
! [X_3101: $int,X_3102: $int] :
( mem2(X_3102,X_3101,g_s604_587)
<=> mem2(X_3102,X_3101,g_s604_1_608) ) ).
tff('Define:inv:9',axiom,
! [X_3103: $int,X_3104: $int] :
( mem2(X_3104,X_3103,g_s605_588)
<=> mem2(X_3104,X_3103,g_s605_1_609) ) ).
tff('Define:seext:0',axiom,
mem0(g_s383_371,g_s8_8) ).
tff('Define:seext:1',axiom,
mem0(g_s384_372,g_s125_123) ).
tff('Define:seext:10',axiom,
? [X_2291: set_2] :
( ! [X_2292: $int,X_2293: $int] :
( mem2(X_2293,X_2292,X_2291)
<=> mem2(X_2293,X_2292,g_s396_384) )
& ! [X_2294: $int,X_2295: $int,X_2296: $int] :
( ( mem2(X_2294,X_2295,X_2291)
& mem2(X_2294,X_2296,X_2291) )
=> ( X_2295 = X_2296 ) )
& ! [X_2297: $int] :
( mem0(X_2297,g_s255_250)
<=> ? [X_2298: $int] : mem2(X_2297,X_2298,X_2291) )
& ! [X_2299: $int] :
( ? [X_2300: $int] : mem2(X_2300,X_2299,X_2291)
=> mem0(X_2299,g_s393_380) ) ) ).
tff('Define:seext:100',axiom,
! [X_2551: $int] :
( ? [X_2552: $int] : mem2(X_2551,X_2552,g_s419_405)
<=> ? [X_2553: $int] : mem2(X_2551,X_2553,g_s425_411) ) ).
tff('Define:seext:101',axiom,
! [X_2554: $int] :
( ? [X_2555: $int] : mem2(X_2554,X_2555,g_s421_407)
<=> ? [X_2556: $int] : mem2(X_2554,X_2556,g_s440_426) ) ).
tff('Define:seext:102',axiom,
? [X_2557: set_2] :
( ! [X_2558: $int,X_2559: $int] :
( mem2(X_2559,X_2558,X_2557)
<=> mem2(X_2559,X_2558,g_s492_478) )
& ! [X_2560: $int,X_2561: $int,X_2562: $int] :
( ( mem2(X_2560,X_2561,X_2557)
& mem2(X_2560,X_2562,X_2557) )
=> ( X_2561 = X_2562 ) )
& ! [X_2563: $int] :
( mem0(X_2563,g_s187_183)
<=> ? [X_2564: $int] : mem2(X_2563,X_2564,X_2557) )
& ! [X_2565: $int] :
( ? [X_2566: $int] : mem2(X_2566,X_2565,X_2557)
=> mem0(X_2565,g_s70_70) ) ) ).
tff('Define:seext:103',axiom,
? [X_2567: set_2] :
( ! [X_2568: $int,X_2569: $int] :
( mem2(X_2569,X_2568,X_2567)
<=> mem2(X_2569,X_2568,g_s493_479) )
& ! [X_2570: $int,X_2571: $int,X_2572: $int] :
( ( mem2(X_2570,X_2571,X_2567)
& mem2(X_2570,X_2572,X_2567) )
=> ( X_2571 = X_2572 ) )
& ! [X_2573: $int] :
( mem0(X_2573,g_s187_183)
<=> ? [X_2574: $int] : mem2(X_2573,X_2574,X_2567) )
& ! [X_2575: $int] :
( ? [X_2576: $int] : mem2(X_2576,X_2575,X_2567)
=> mem0(X_2575,g_s125_123) ) ) ).
tff('Define:seext:104',axiom,
! [X_2577: $int] :
( mem0(X_2577,g_s494_480)
=> mem0(X_2577,g_s198_194) ) ).
tff('Define:seext:105',axiom,
( ! [X_2578: $int,X_2579: $int] :
( mem2(X_2579,X_2578,g_s495_481)
=> ( mem0(X_2579,g_s198_194)
& mem0(X_2578,g_s125_123) ) )
& ! [X_2580: $int,X_2581: $int,X_2582: $int] :
( ( mem2(X_2580,X_2581,g_s495_481)
& mem2(X_2580,X_2582,g_s495_481) )
=> ( X_2581 = X_2582 ) ) ) ).
tff('Define:seext:106',axiom,
! [X_2583: $int] :
( mem0(X_2583,g_s496_482)
=> mem0(X_2583,g_s198_194) ) ).
tff('Define:seext:107',axiom,
( ! [X_2584: $int,X_2585: $int] :
( mem2(X_2585,X_2584,g_s497_483)
=> ( mem0(X_2585,g_s198_194)
& mem0(X_2584,g_s125_123) ) )
& ! [X_2586: $int,X_2587: $int,X_2588: $int] :
( ( mem2(X_2586,X_2587,g_s497_483)
& mem2(X_2586,X_2588,g_s497_483) )
=> ( X_2587 = X_2588 ) ) ) ).
tff('Define:seext:108',axiom,
( ! [X_2589: $int,X_2590: $int] :
( mem2(X_2590,X_2589,g_s498_484)
=> ( mem0(X_2590,g_s198_194)
& mem0(X_2589,g_s125_123) ) )
& ! [X_2591: $int,X_2592: $int,X_2593: $int] :
( ( mem2(X_2591,X_2592,g_s498_484)
& mem2(X_2591,X_2593,g_s498_484) )
=> ( X_2592 = X_2593 ) ) ) ).
tff('Define:seext:109',axiom,
! [X_2594: $int] :
( mem0(X_2594,g_s499_485)
=> mem0(X_2594,g_s297_288) ) ).
tff('Define:seext:11',axiom,
! [X_2301: $int] :
( mem0(X_2301,g_s397_385)
=> mem0(X_2301,g_s398_386) ) ).
tff('Define:seext:110',axiom,
! [X_2595: $int] :
( mem0(X_2595,g_s500_486)
=> mem0(X_2595,g_s297_288) ) ).
tff('Define:seext:111',axiom,
( ! [X_2596: $int,X_2597: $int] :
( mem2(X_2597,X_2596,g_s501_487)
=> ( mem0(X_2597,g_s297_288)
& mem0(X_2596,g_s125_123) ) )
& ! [X_2598: $int,X_2599: $int,X_2600: $int] :
( ( mem2(X_2598,X_2599,g_s501_487)
& mem2(X_2598,X_2600,g_s501_487) )
=> ( X_2599 = X_2600 ) ) ) ).
tff('Define:seext:112',axiom,
! [X_2601: $int] :
( mem0(X_2601,g_s502_488)
=> mem0(X_2601,g_s222_218) ) ).
tff('Define:seext:113',axiom,
! [X_2602: $int] :
( mem0(X_2602,g_s503_489)
=> mem0(X_2602,g_s222_218) ) ).
tff('Define:seext:114',axiom,
! [X_2603: $int] :
( mem0(X_2603,g_s504_490)
=> mem0(X_2603,g_s218_214) ) ).
tff('Define:seext:115',axiom,
( ! [X_2604: $int,X_2605: $int] :
( mem2(X_2605,X_2604,g_s505_491)
=> ( mem0(X_2605,g_s222_218)
& mem0(X_2604,g_s125_123) ) )
& ! [X_2606: $int,X_2607: $int,X_2608: $int] :
( ( mem2(X_2606,X_2607,g_s505_491)
& mem2(X_2606,X_2608,g_s505_491) )
=> ( X_2607 = X_2608 ) ) ) ).
tff('Define:seext:116',axiom,
( ! [X_2609: $int,X_2610: $int] :
( mem2(X_2610,X_2609,g_s506_492)
=> ( mem0(X_2610,g_s222_218)
& mem0(X_2609,g_s125_123) ) )
& ! [X_2611: $int,X_2612: $int,X_2613: $int] :
( ( mem2(X_2611,X_2612,g_s506_492)
& mem2(X_2611,X_2613,g_s506_492) )
=> ( X_2612 = X_2613 ) ) ) ).
tff('Define:seext:117',axiom,
( ! [X_2614: $int,X_2615: $int] :
( mem2(X_2615,X_2614,g_s507_493)
=> ( mem0(X_2615,g_s218_214)
& mem0(X_2614,g_s125_123) ) )
& ! [X_2616: $int,X_2617: $int,X_2618: $int] :
( ( mem2(X_2616,X_2617,g_s507_493)
& mem2(X_2616,X_2618,g_s507_493) )
=> ( X_2617 = X_2618 ) ) ) ).
tff('Define:seext:118',axiom,
( ! [X_2619: $int,X_2620: $int] :
( mem2(X_2620,X_2619,g_s508_494)
=> ( mem0(X_2620,g_s218_214)
& mem0(X_2619,g_s125_123) ) )
& ! [X_2621: $int,X_2622: $int,X_2623: $int] :
( ( mem2(X_2621,X_2622,g_s508_494)
& mem2(X_2621,X_2623,g_s508_494) )
=> ( X_2622 = X_2623 ) ) ) ).
tff('Define:seext:119',axiom,
! [X_2624: $int] :
( mem0(X_2624,g_s509_495)
=> mem0(X_2624,g_s266_261) ) ).
tff('Define:seext:12',axiom,
! [X_2302: $int] :
( mem0(X_2302,g_s399_387)
=> mem0(X_2302,g_s398_386) ) ).
tff('Define:seext:120',axiom,
! [X_2625: $int] :
( mem0(X_2625,g_s510_496)
=> mem0(X_2625,g_s266_261) ) ).
tff('Define:seext:121',axiom,
! [X_2626: $int] :
( mem0(X_2626,g_s511_497)
=> mem0(X_2626,g_s266_261) ) ).
tff('Define:seext:122',axiom,
! [X_2627: $int] :
( mem0(X_2627,g_s512_498)
=> mem0(X_2627,g_s266_261) ) ).
tff('Define:seext:123',axiom,
! [X_2628: $int] :
( mem0(X_2628,g_s513_499)
=> mem0(X_2628,g_s514_500) ) ).
tff('Define:seext:124',axiom,
! [X_2629: $int] :
( mem0(X_2629,g_s515_501)
=> mem0(X_2629,g_s514_500) ) ).
tff('Define:seext:125',axiom,
! [X_2630: $int] :
( mem0(X_2630,g_s516_502)
=> mem0(X_2630,g_s514_500) ) ).
tff('Define:seext:126',axiom,
! [X_2631: $int] :
( mem0(X_2631,g_s517_503)
=> mem0(X_2631,g_s198_194) ) ).
tff('Define:seext:127',axiom,
! [X_2632: $int] :
( mem0(X_2632,g_s518_504)
=> mem0(X_2632,g_s201_197) ) ).
tff('Define:seext:128',axiom,
! [X_2633: $int] :
( mem0(X_2633,g_s519_505)
=> mem0(X_2633,g_s201_197) ) ).
tff('Define:seext:129',axiom,
! [X_2634: $int] :
( mem0(X_2634,g_s520_506)
=> mem0(X_2634,g_s521_507) ) ).
tff('Define:seext:13',axiom,
$true ).
tff('Define:seext:130',axiom,
! [X_2635: $int] :
( mem0(X_2635,g_s522_508)
=> mem0(X_2635,g_s521_507) ) ).
tff('Define:seext:131',axiom,
! [X_2636: $int] :
( mem0(X_2636,g_s523_509)
=> mem0(X_2636,g_s521_507) ) ).
tff('Define:seext:132',axiom,
! [X_2637: $int] :
( mem0(X_2637,g_s524_510)
=> mem0(X_2637,g_s521_507) ) ).
tff('Define:seext:133',axiom,
! [X_2638: $int] :
( mem0(X_2638,g_s525_511)
=> mem0(X_2638,g_s218_214) ) ).
tff('Define:seext:134',axiom,
! [X_2639: $int] :
( mem0(X_2639,g_s526_512)
=> mem0(X_2639,g_s218_214) ) ).
tff('Define:seext:135',axiom,
! [X_2640: $int] :
( mem0(X_2640,g_s527_513)
=> mem0(X_2640,g_s222_218) ) ).
tff('Define:seext:136',axiom,
! [X_2641: $int] :
( mem0(X_2641,g_s528_514)
=> mem0(X_2641,g_s218_214) ) ).
tff('Define:seext:137',axiom,
! [X_2642: $int] :
( mem0(X_2642,g_s529_515)
=> mem0(X_2642,g_s266_261) ) ).
tff('Define:seext:138',axiom,
! [X_2643: $int] :
( mem0(X_2643,g_s530_516)
=> mem0(X_2643,g_s266_261) ) ).
tff('Define:seext:139',axiom,
! [X_2644: $int] :
( mem0(X_2644,g_s531_517)
=> mem0(X_2644,g_s266_261) ) ).
tff('Define:seext:14',axiom,
$true ).
tff('Define:seext:140',axiom,
! [X_2645: $int] :
( mem0(X_2645,g_s532_518)
=> mem0(X_2645,g_s266_261) ) ).
tff('Define:seext:141',axiom,
! [X_2646: $int] :
( mem0(X_2646,g_s533_519)
=> mem0(X_2646,g_s266_261) ) ).
tff('Define:seext:142',axiom,
! [X_2647: $int,X_2648: $int] :
( mem2(X_2648,X_2647,g_s534_520)
=> ( mem0(X_2648,g_s266_261)
& mem0(X_2647,g_s213_209) ) ) ).
tff('Define:seext:143',axiom,
! [X_2649: $int,X_2650: $int] :
( mem2(X_2650,X_2649,g_s535_521)
=> ( mem0(X_2650,g_s266_261)
& mem0(X_2649,g_s213_209) ) ) ).
tff('Define:seext:144',axiom,
! [X_2651: $int,X_2652: $int] :
( mem2(X_2652,X_2651,g_s536_522)
=> ( mem0(X_2652,g_s266_261)
& mem0(X_2651,g_s213_209) ) ) ).
tff('Define:seext:145',axiom,
! [X_2653: $int] :
( mem0(X_2653,g_s537_523)
=> mem0(X_2653,g_s266_261) ) ).
tff('Define:seext:146',axiom,
! [X_2654: $int] :
( mem0(X_2654,g_s538_524)
=> mem0(X_2654,g_s198_194) ) ).
tff('Define:seext:147',axiom,
? [X_2655: set_2] :
( ! [X_2656: $int,X_2657: $int] :
( mem2(X_2657,X_2656,X_2655)
<=> mem2(X_2657,X_2656,g_s539_525) )
& ! [X_2658: $int,X_2659: $int,X_2660: $int] :
( ( mem2(X_2658,X_2659,X_2655)
& mem2(X_2658,X_2660,X_2655) )
=> ( X_2659 = X_2660 ) )
& ! [X_2661: $int] :
( mem0(X_2661,g_s540_526)
<=> ? [X_2662: $int] : mem2(X_2661,X_2662,X_2655) )
& ! [X_2663: $int] :
( ? [X_2664: $int] : mem2(X_2664,X_2663,X_2655)
=> mem0(X_2663,g_s541_527) ) ) ).
tff('Define:seext:148',axiom,
! [X_2665: $int] :
( mem0(X_2665,g_s542_528)
=> mem0(X_2665,g_s231_227) ) ).
tff('Define:seext:149',axiom,
! [X_2666: $int] :
( mem0(X_2666,g_s543_529)
=> mem0(X_2666,g_s231_227) ) ).
tff('Define:seext:15',axiom,
( ! [X_2303: $int,X_2304: $int] :
( mem2(X_2304,X_2303,g_s402_388)
=> ( mem0(X_2304,g_s231_227)
& mem0(X_2303,g_s403_389) ) )
& ! [X_2305: $int,X_2306: $int,X_2307: $int] :
( ( mem2(X_2305,X_2306,g_s402_388)
& mem2(X_2305,X_2307,g_s402_388) )
=> ( X_2306 = X_2307 ) )
& ! [X_2308: $int,X_2309: $int,X_2310: $int] :
( ( mem2(X_2309,X_2308,g_s402_388)
& mem2(X_2310,X_2308,g_s402_388) )
=> ( X_2309 = X_2310 ) ) ) ).
tff('Define:seext:150',axiom,
! [X_2667: $int] :
( mem0(X_2667,g_s544_530)
=> mem0(X_2667,g_s231_227) ) ).
tff('Define:seext:151',axiom,
! [X_2668: $int] :
( mem0(X_2668,g_s545_531)
=> mem0(X_2668,g_s231_227) ) ).
tff('Define:seext:152',axiom,
! [X_2669: $int] :
( mem0(X_2669,g_s546_532)
=> mem0(X_2669,g_s231_227) ) ).
tff('Define:seext:153',axiom,
! [X_2670: $int] :
( mem0(X_2670,g_s547_533)
=> mem0(X_2670,g_s266_261) ) ).
tff('Define:seext:154',axiom,
! [X_2671: $int] :
( mem0(X_2671,g_s548_534)
=> mem0(X_2671,g_s266_261) ) ).
tff('Define:seext:155',axiom,
! [X_2672: $int] :
( mem0(X_2672,g_s549_535)
=> mem0(X_2672,g_s266_261) ) ).
tff('Define:seext:156',axiom,
! [X_2673: $int] :
( mem0(X_2673,g_s550_536)
=> mem0(X_2673,g_s266_261) ) ).
tff('Define:seext:157',axiom,
! [X_2674: $int] :
( mem0(X_2674,g_s551_537)
=> mem0(X_2674,g_s266_261) ) ).
tff('Define:seext:158',axiom,
! [X_2675: $int] :
( mem0(X_2675,g_s552_538)
=> mem0(X_2675,g_s266_261) ) ).
tff('Define:seext:159',axiom,
mem0(g_s553_539,g_s12_12) ).
tff('Define:seext:16',axiom,
! [X_2311: $int] :
( mem0(X_2311,g_s404_390)
=> mem0(X_2311,g_s231_227) ) ).
tff('Define:seext:160',axiom,
mem0(g_s554_541,g_s555_540) ).
tff('Define:seext:161',axiom,
$true ).
tff('Define:seext:162',axiom,
( ! [X_2676: $int,X_2677: $int] :
( mem2(X_2677,X_2676,g_s557_542)
=> ( mem0(X_2677,g_s558_543)
& mem0(X_2676,g_s559_544) ) )
& ! [X_2678: $int,X_2679: $int,X_2680: $int] :
( ( mem2(X_2678,X_2679,g_s557_542)
& mem2(X_2678,X_2680,g_s557_542) )
=> ( X_2679 = X_2680 ) ) ) ).
tff('Define:seext:163',axiom,
( ! [X_2681: $int,X_2682: $int] :
( mem2(X_2682,X_2681,g_s560_545)
=> ( mem0(X_2682,g_s558_543)
& mem0(X_2681,g_s561_546) ) )
& ! [X_2683: $int,X_2684: $int,X_2685: $int] :
( ( mem2(X_2683,X_2684,g_s560_545)
& mem2(X_2683,X_2685,g_s560_545) )
=> ( X_2684 = X_2685 ) ) ) ).
tff('Define:seext:164',axiom,
( ! [X_2686: $int,X_2687: $int] :
( mem2(X_2687,X_2686,g_s562_547)
=> ( mem0(X_2687,g_s558_543)
& mem0(X_2686,g_s563_548) ) )
& ! [X_2688: $int,X_2689: $int,X_2690: $int] :
( ( mem2(X_2688,X_2689,g_s562_547)
& mem2(X_2688,X_2690,g_s562_547) )
=> ( X_2689 = X_2690 ) ) ) ).
tff('Define:seext:165',axiom,
( ! [X_2691: $int,X_2692: $int] :
( mem2(X_2692,X_2691,g_s564_549)
=> ( mem0(X_2692,g_s558_543)
& mem0(X_2691,g_s563_548) ) )
& ! [X_2693: $int,X_2694: $int,X_2695: $int] :
( ( mem2(X_2693,X_2694,g_s564_549)
& mem2(X_2693,X_2695,g_s564_549) )
=> ( X_2694 = X_2695 ) ) ) ).
tff('Define:seext:166',axiom,
? [X_2696: set_7] :
( ! [X_2697: set_2,X_2698: $int] :
( mem7(X_2698,X_2697,X_2696)
<=> mem7(X_2698,X_2697,g_s565_550) )
& ! [X_2699: $int,X_2700: set_2,X_2701: set_2] :
( ( mem7(X_2699,X_2700,X_2696)
& mem7(X_2699,X_2701,X_2696) )
=> ! [X_2702: $int,X_2703: $int] :
( mem2(X_2703,X_2702,X_2700)
<=> mem2(X_2703,X_2702,X_2701) ) )
& ! [X_2704: $int] :
( mem0(X_2704,g_s255_250)
<=> ? [X_2705: set_2] : mem7(X_2704,X_2705,X_2696) )
& ! [X_2706: set_2] :
( ? [X_2707: $int] : mem7(X_2707,X_2706,X_2696)
=> ( ! [X_2708: $int,X_2709: $int] :
( mem2(X_2709,X_2708,X_2706)
=> ( mem0(X_2709,g_s558_543)
& mem0(X_2708,g_s559_544) ) )
& ! [X_2710: $int,X_2711: $int,X_2712: $int] :
( ( mem2(X_2710,X_2711,X_2706)
& mem2(X_2710,X_2712,X_2706) )
=> ( X_2711 = X_2712 ) ) ) ) ) ).
tff('Define:seext:167',axiom,
? [X_2713: set_7] :
( ! [X_2714: set_2,X_2715: $int] :
( mem7(X_2715,X_2714,X_2713)
<=> mem7(X_2715,X_2714,g_s566_551) )
& ! [X_2716: $int,X_2717: set_2,X_2718: set_2] :
( ( mem7(X_2716,X_2717,X_2713)
& mem7(X_2716,X_2718,X_2713) )
=> ! [X_2719: $int,X_2720: $int] :
( mem2(X_2720,X_2719,X_2717)
<=> mem2(X_2720,X_2719,X_2718) ) )
& ! [X_2721: $int] :
( mem0(X_2721,g_s255_250)
<=> ? [X_2722: set_2] : mem7(X_2721,X_2722,X_2713) )
& ! [X_2723: set_2] :
( ? [X_2724: $int] : mem7(X_2724,X_2723,X_2713)
=> ( ! [X_2725: $int,X_2726: $int] :
( mem2(X_2726,X_2725,X_2723)
=> ( mem0(X_2726,g_s558_543)
& mem0(X_2725,g_s561_546) ) )
& ! [X_2727: $int,X_2728: $int,X_2729: $int] :
( ( mem2(X_2727,X_2728,X_2723)
& mem2(X_2727,X_2729,X_2723) )
=> ( X_2728 = X_2729 ) ) ) ) ) ).
tff('Define:seext:168',axiom,
? [X_2730: set_7] :
( ! [X_2731: set_2,X_2732: $int] :
( mem7(X_2732,X_2731,X_2730)
<=> mem7(X_2732,X_2731,g_s567_552) )
& ! [X_2733: $int,X_2734: set_2,X_2735: set_2] :
( ( mem7(X_2733,X_2734,X_2730)
& mem7(X_2733,X_2735,X_2730) )
=> ! [X_2736: $int,X_2737: $int] :
( mem2(X_2737,X_2736,X_2734)
<=> mem2(X_2737,X_2736,X_2735) ) )
& ! [X_2738: $int] :
( mem0(X_2738,g_s255_250)
<=> ? [X_2739: set_2] : mem7(X_2738,X_2739,X_2730) )
& ! [X_2740: set_2] :
( ? [X_2741: $int] : mem7(X_2741,X_2740,X_2730)
=> ( ! [X_2742: $int,X_2743: $int] :
( mem2(X_2743,X_2742,X_2740)
=> ( mem0(X_2743,g_s558_543)
& mem0(X_2742,g_s563_548) ) )
& ! [X_2744: $int,X_2745: $int,X_2746: $int] :
( ( mem2(X_2744,X_2745,X_2740)
& mem2(X_2744,X_2746,X_2740) )
=> ( X_2745 = X_2746 ) ) ) ) ) ).
tff('Define:seext:169',axiom,
? [X_2747: set_7] :
( ! [X_2748: set_2,X_2749: $int] :
( mem7(X_2749,X_2748,X_2747)
<=> mem7(X_2749,X_2748,g_s568_553) )
& ! [X_2750: $int,X_2751: set_2,X_2752: set_2] :
( ( mem7(X_2750,X_2751,X_2747)
& mem7(X_2750,X_2752,X_2747) )
=> ! [X_2753: $int,X_2754: $int] :
( mem2(X_2754,X_2753,X_2751)
<=> mem2(X_2754,X_2753,X_2752) ) )
& ! [X_2755: $int] :
( mem0(X_2755,g_s255_250)
<=> ? [X_2756: set_2] : mem7(X_2755,X_2756,X_2747) )
& ! [X_2757: set_2] :
( ? [X_2758: $int] : mem7(X_2758,X_2757,X_2747)
=> ( ! [X_2759: $int,X_2760: $int] :
( mem2(X_2760,X_2759,X_2757)
=> ( mem0(X_2760,g_s558_543)
& mem0(X_2759,g_s563_548) ) )
& ! [X_2761: $int,X_2762: $int,X_2763: $int] :
( ( mem2(X_2761,X_2762,X_2757)
& mem2(X_2761,X_2763,X_2757) )
=> ( X_2762 = X_2763 ) ) ) ) ) ).
tff('Define:seext:17',axiom,
! [X_2312: $int] :
( mem0(X_2312,g_s405_391)
=> mem0(X_2312,g_s231_227) ) ).
tff('Define:seext:170',axiom,
$true ).
tff('Define:seext:171',axiom,
mem0(g_s570_554,g_s124_122) ).
tff('Define:seext:172',axiom,
( ! [X_2764: $int,X_2765: $int] :
( mem2(X_2765,X_2764,g_s571_555)
=> ( mem0(X_2765,g_s572_556)
& mem0(X_2764,g_s125_123) ) )
& ! [X_2766: $int,X_2767: $int,X_2768: $int] :
( ( mem2(X_2766,X_2767,g_s571_555)
& mem2(X_2766,X_2768,g_s571_555) )
=> ( X_2767 = X_2768 ) ) ) ).
tff('Define:seext:173',axiom,
! [X_2769: $int] :
( mem0(X_2769,g_s573_557)
=> mem0(X_2769,g_s198_194) ) ).
tff('Define:seext:174',axiom,
! [X_2770: $int] :
( mem0(X_2770,g_s574_558)
=> mem0(X_2770,g_s488_474) ) ).
tff('Define:seext:175',axiom,
? [X_2771: set_2] :
( ! [X_2772: $int,X_2773: $int] :
( mem2(X_2773,X_2772,X_2771)
<=> mem2(X_2773,X_2772,g_s575_559) )
& ! [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_s488_474)
<=> ? [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_s43_43) ) ) ).
tff('Define:seext:176',axiom,
( ! [X_2781: $int,X_2782: $int] :
( mem2(X_2782,X_2781,g_s576_560)
=> ( mem0(X_2782,g_s488_474)
& mem0(X_2781,g_s491_477) ) )
& ! [X_2783: $int,X_2784: $int,X_2785: $int] :
( ( mem2(X_2783,X_2784,g_s576_560)
& mem2(X_2783,X_2785,g_s576_560) )
=> ( X_2784 = X_2785 ) ) ) ).
tff('Define:seext:177',axiom,
! [X_2786: $int] :
( ? [X_2787: $int] : mem2(X_2786,X_2787,g_s557_542)
<=> ? [X_2788: $int] : mem2(X_2786,X_2788,g_s560_545) ) ).
tff('Define:seext:178',axiom,
! [X_2789: $int] :
( ? [X_2790: $int] : mem2(X_2789,X_2790,g_s557_542)
<=> ? [X_2791: $int] : mem2(X_2789,X_2791,g_s562_547) ) ).
tff('Define:seext:179',axiom,
! [X_2792: $int] :
( ? [X_2793: $int] : mem2(X_2792,X_2793,g_s557_542)
<=> ? [X_2794: $int] : mem2(X_2792,X_2794,g_s564_549) ) ).
tff('Define:seext:18',axiom,
! [X_2313: $int] :
( mem0(X_2313,g_s406_392)
=> mem0(X_2313,g_s231_227) ) ).
tff('Define:seext:180',axiom,
! [L_s577: $int] :
( mem0(L_s577,g_s255_250)
=> ( ! [X_2795: $int] :
( ? [X_2796: $int] :
! [X_2797: set_2] :
( mem7(L_s577,X_2797,g_s566_551)
=> mem2(X_2795,X_2796,X_2797) )
<=> ? [X_2798: $int] :
! [X_2799: set_2] :
( mem7(L_s577,X_2799,g_s565_550)
=> mem2(X_2795,X_2798,X_2799) ) )
& ! [X_2800: $int] :
( ? [X_2801: $int] :
! [X_2802: set_2] :
( mem7(L_s577,X_2802,g_s567_552)
=> mem2(X_2800,X_2801,X_2802) )
<=> ? [X_2803: $int] :
! [X_2804: set_2] :
( mem7(L_s577,X_2804,g_s565_550)
=> mem2(X_2800,X_2803,X_2804) ) )
& ! [X_2805: $int] :
( ? [X_2806: $int] :
! [X_2807: set_2] :
( mem7(L_s577,X_2807,g_s568_553)
=> mem2(X_2805,X_2806,X_2807) )
<=> ? [X_2808: $int] :
! [X_2809: set_2] :
( mem7(L_s577,X_2809,g_s565_550)
=> mem2(X_2805,X_2808,X_2809) ) ) ) ) ).
tff('Define:seext:181',axiom,
! [X_2810: $int] :
( mem0(X_2810,g_s578_561)
=> mem0(X_2810,g_s198_194) ) ).
tff('Define:seext:182',axiom,
? [X_2811: set_2] :
( ! [X_2812: $int,X_2813: $int] :
( mem2(X_2813,X_2812,X_2811)
<=> mem2(X_2813,X_2812,g_s579_562) )
& ! [X_2814: $int,X_2815: $int,X_2816: $int] :
( ( mem2(X_2814,X_2815,X_2811)
& mem2(X_2814,X_2816,X_2811) )
=> ( X_2815 = X_2816 ) )
& ! [X_2817: $int] :
( mem0(X_2817,g_s201_197)
<=> ? [X_2818: $int] : mem2(X_2817,X_2818,X_2811) )
& ! [X_2819: $int] :
( ? [X_2820: $int] : mem2(X_2820,X_2819,X_2811)
=> mem0(X_2819,g_s15_15) ) ) ).
tff('Define:seext:183',axiom,
( ! [X_2821: $int,X_2822: $int] :
( mem2(X_2822,X_2821,g_s580_563)
=> ( mem0(X_2822,g_s201_197)
& mem0(X_2821,g_s231_227) ) )
& ! [X_2823: $int,X_2824: $int,X_2825: $int] :
( ( mem2(X_2823,X_2824,g_s580_563)
& mem2(X_2823,X_2825,g_s580_563) )
=> ( X_2824 = X_2825 ) ) ) ).
tff('Define:seext:184',axiom,
( ! [X_2826: $int,X_2827: $int] :
( mem2(X_2827,X_2826,g_s581_564)
=> ( mem0(X_2827,g_s231_227)
& mem0(X_2826,g_s201_197) ) )
& ! [X_2828: $int,X_2829: $int,X_2830: $int] :
( ( mem2(X_2828,X_2829,g_s581_564)
& mem2(X_2828,X_2830,g_s581_564) )
=> ( X_2829 = X_2830 ) )
& ! [X_2831: $int,X_2832: $int,X_2833: $int] :
( ( mem2(X_2832,X_2831,g_s581_564)
& mem2(X_2833,X_2831,g_s581_564) )
=> ( X_2832 = X_2833 ) ) ) ).
tff('Define:seext:185',axiom,
! [X_2834: $int,X_2835: $int] :
( mem2(X_2835,X_2834,g_s582_565)
=> ( mem0(X_2835,g_s231_227)
& mem0(X_2834,g_s213_209) ) ) ).
tff('Define:seext:186',axiom,
( ! [X_2836: $int,X_2837: $int] :
( mem2(X_2837,X_2836,g_s583_566)
=> ( mem0(X_2837,g_s231_227)
& mem0(X_2836,g_s227_223) ) )
& ! [X_2838: $int,X_2839: $int,X_2840: $int] :
( ( mem2(X_2838,X_2839,g_s583_566)
& mem2(X_2838,X_2840,g_s583_566) )
=> ( X_2839 = X_2840 ) ) ) ).
tff('Define:seext:187',axiom,
( ! [X_2841: $int,X_2842: $int] :
( mem2(X_2842,X_2841,g_s584_567)
=> ( mem0(X_2842,g_s231_227)
& mem0(X_2841,g_s125_123) ) )
& ! [X_2843: $int,X_2844: $int,X_2845: $int] :
( ( mem2(X_2843,X_2844,g_s584_567)
& mem2(X_2843,X_2845,g_s584_567) )
=> ( X_2844 = X_2845 ) ) ) ).
tff('Define:seext:188',axiom,
! [X_2846: $int] :
( ? [X_2847: $int] : mem2(X_2846,X_2847,g_s580_563)
<=> ? [X_2848: $int] :
( ( ( X_2848 = g_s19_19 )
| ( X_2848 = g_s18_18 )
| ( X_2848 = g_s17_17 ) )
& mem2(X_2846,X_2848,g_s579_562) ) ) ).
tff('Define:seext:189',axiom,
! [X_2849: $int,X_2850: $int] :
( mem2(X_2849,X_2850,g_s581_564)
<=> ( mem2(X_2850,X_2849,g_s580_563)
& ? [X_2851: $int] :
( ( X_2851 = g_s19_19 )
& mem2(X_2850,X_2851,g_s579_562) ) ) ) ).
tff('Define:seext:19',axiom,
! [X_2314: $int] :
( mem0(X_2314,g_s407_393)
=> mem0(X_2314,g_s231_227) ) ).
tff('Define:seext:190',axiom,
! [X_2852: $int] :
( ? [X_2853: $int] : mem2(X_2853,X_2852,g_s581_564)
<=> ? [X_2854: $int] :
( ( X_2854 = g_s19_19 )
& mem2(X_2852,X_2854,g_s579_562) ) ) ).
tff('Define:seext:191',axiom,
! [X_2855: $int] :
( ? [X_2856: $int] : mem2(X_2855,X_2856,g_s582_565)
=> ? [X_2857: $int] : mem2(X_2855,X_2857,g_s581_564) ) ).
tff('Define:seext:192',axiom,
! [X_2858: $int] :
( ? [X_2859: $int] : mem2(X_2858,X_2859,g_s584_567)
<=> ? [X_2860: $int] : mem2(X_2858,X_2860,g_s581_564) ) ).
tff('Define:seext:193',axiom,
! [X_2861: $int] :
( ( mem0(X_2861,g_s201_197)
& ~ mem0(X_2861,g_s288_279) )
=> ? [X_2862: $int] :
( ( X_2862 = g_s20_20 )
& mem2(X_2861,X_2862,g_s579_562) ) ) ).
tff('Define:seext:194',axiom,
? [X_2863: set_2] :
( ! [X_2864: $int,X_2865: $int] :
( mem2(X_2865,X_2864,X_2863)
<=> mem2(X_2865,X_2864,g_s585_568) )
& ! [X_2866: $int,X_2867: $int,X_2868: $int] :
( ( mem2(X_2866,X_2867,X_2863)
& mem2(X_2866,X_2868,X_2863) )
=> ( X_2867 = X_2868 ) )
& ! [X_2869: $int] :
( mem0(X_2869,g_s224_220)
<=> ? [X_2870: $int] : mem2(X_2869,X_2870,X_2863) )
& ! [X_2871: $int] :
( ? [X_2872: $int] : mem2(X_2872,X_2871,X_2863)
=> mem0(X_2871,g_s586_569) ) ) ).
tff('Define:seext:195',axiom,
( ! [X_2873: $int,X_2874: $int] :
( mem2(X_2874,X_2873,g_s587_570)
=> ( mem0(X_2874,g_s224_220)
& mem0(X_2873,g_s231_227) ) )
& ! [X_2875: $int,X_2876: $int,X_2877: $int] :
( ( mem2(X_2875,X_2876,g_s587_570)
& mem2(X_2875,X_2877,g_s587_570) )
=> ( X_2876 = X_2877 ) ) ) ).
tff('Define:seext:196',axiom,
( ! [X_2878: $int,X_2879: $int] :
( mem2(X_2879,X_2878,g_s588_571)
=> ( mem0(X_2879,g_s224_220)
& mem0(X_2878,g_s231_227) ) )
& ! [X_2880: $int,X_2881: $int,X_2882: $int] :
( ( mem2(X_2880,X_2881,g_s588_571)
& mem2(X_2880,X_2882,g_s588_571) )
=> ( X_2881 = X_2882 ) ) ) ).
tff('Define:seext:197',axiom,
! [X_2883: $int] :
( ? [X_2884: $int] : mem2(X_2883,X_2884,g_s587_570)
<=> ? [X_2885: $int] :
( ( ( X_2885 = g_s589_572 )
| ( X_2885 = g_s590_573 ) )
& mem2(X_2883,X_2885,g_s585_568) ) ) ).
tff('Define:seext:198',axiom,
( ! [X_2886: $int,X_2887: $int] :
( mem2(X_2887,X_2886,g_s591_574)
=> ( mem0(X_2887,g_s201_197)
& mem0(X_2886,g_s231_227) ) )
& ! [X_2888: $int,X_2889: $int,X_2890: $int] :
( ( mem2(X_2888,X_2889,g_s591_574)
& mem2(X_2888,X_2890,g_s591_574) )
=> ( X_2889 = X_2890 ) ) ) ).
tff('Define:seext:199',axiom,
! [X_2891: $int] :
( mem0(X_2891,g_s592_575)
=> mem0(X_2891,g_s231_227) ) ).
tff('Define:seext:2',axiom,
( ! [X_2286: $int,X_2287: $int] :
( mem2(X_2287,X_2286,g_s385_373)
=> ( mem0(X_2287,g_s231_227)
& mem0(X_2286,g_s125_123) ) )
& ! [X_2288: $int,X_2289: $int,X_2290: $int] :
( ( mem2(X_2288,X_2289,g_s385_373)
& mem2(X_2288,X_2290,g_s385_373) )
=> ( X_2289 = X_2290 ) ) ) ).
tff('Define:seext:20',axiom,
( ! [X_2315: $int,X_2316: $int] :
( mem2(X_2316,X_2315,g_s408_394)
=> ( mem0(X_2316,g_s231_227)
& mem0(X_2315,g_s125_123) ) )
& ! [X_2317: $int,X_2318: $int,X_2319: $int] :
( ( mem2(X_2317,X_2318,g_s408_394)
& mem2(X_2317,X_2319,g_s408_394) )
=> ( X_2318 = X_2319 ) ) ) ).
tff('Define:seext:200',axiom,
! [X_2892: $int,X_2893: $int] :
( mem2(X_2893,X_2892,g_s593_576)
=> ( mem0(X_2893,g_s222_218)
& mem0(X_2892,g_s201_197) ) ) ).
tff('Define:seext:201',axiom,
? [X_2894: set_2] :
( ! [X_2895: $int,X_2896: $int] :
( mem2(X_2896,X_2895,X_2894)
<=> mem2(X_2896,X_2895,g_s594_577) )
& ! [X_2897: $int,X_2898: $int,X_2899: $int] :
( ( mem2(X_2897,X_2898,X_2894)
& mem2(X_2897,X_2899,X_2894) )
=> ( X_2898 = X_2899 ) )
& ! [X_2900: $int] :
( mem0(X_2900,g_s190_186)
<=> ? [X_2901: $int] : mem2(X_2900,X_2901,X_2894) )
& ! [X_2902: $int] :
( ? [X_2903: $int] : mem2(X_2903,X_2902,X_2894)
=> mem0(X_2902,g_s66_66) ) ) ).
tff('Define:seext:202',axiom,
! [X_2904: $int] :
( mem0(X_2904,g_s595_578)
=> mem0(X_2904,g_s190_186) ) ).
tff('Define:seext:203',axiom,
! [X_2905: $int] :
( ( $greatereq(X_2905,0)
& $lesseq(X_2905,max_int) )
=> $greatereq(X_2905,0) ) ).
tff('Define:seext:204',axiom,
! [X_2906: $int] :
( mem0(X_2906,g_s207_203)
=> $greatereq(X_2906,0) ) ).
tff('Define:seext:205',axiom,
! [X_2907: $int] :
( mem0(X_2907,g_s208_204)
=> $greatereq(X_2907,0) ) ).
tff('Define:seext:206',axiom,
! [X_2908: $int] :
( mem0(X_2908,g_s209_205)
=> $greatereq(X_2908,0) ) ).
tff('Define:seext:207',axiom,
! [L_s298: $int,L_s299: $int] :
( ( mem0(L_s299,g_s201_197)
& mem0(L_s298,g_s201_197)
& ? [X_2909: $int] :
! [X_2910: set_2] :
( mem7(L_s299,X_2910,g_s291_282)
=> mem2(L_s298,X_2909,X_2910) ) )
=> ? [X_2911: $int] : mem3(L_s298,L_s299,X_2911,g_s289_280) ) ).
tff('Define:seext:208',axiom,
! [X_2912: $int] :
( ? [X_2913: $int] : mem2(X_2912,X_2913,g_s581_564)
=> ? [X_2914: $int] : mem2(X_2914,X_2912,g_s580_563) ) ).
tff('Define:seext:209',axiom,
! [X_2915: $int] :
( ? [X_2916: $int] : mem2(X_2916,X_2915,g_s581_564)
=> ? [X_2917: $int] : mem2(X_2915,X_2917,g_s580_563) ) ).
tff('Define:seext:21',axiom,
( ! [X_2320: $int,X_2321: $int] :
( mem2(X_2321,X_2320,g_s409_395)
=> ( mem0(X_2321,g_s231_227)
& mem0(X_2320,g_s222_218) ) )
& ! [X_2322: $int,X_2323: $int,X_2324: $int] :
( ( mem2(X_2322,X_2323,g_s409_395)
& mem2(X_2322,X_2324,g_s409_395) )
=> ( X_2323 = X_2324 ) ) ) ).
tff('Define:seext:22',axiom,
( ! [X_2325: $int,X_2326: $int] :
( mem2(X_2326,X_2325,g_s410_396)
=> ( mem0(X_2326,g_s231_227)
& mem0(X_2325,g_s210_206) ) )
& ! [X_2327: $int,X_2328: $int,X_2329: $int] :
( ( mem2(X_2327,X_2328,g_s410_396)
& mem2(X_2327,X_2329,g_s410_396) )
=> ( X_2328 = X_2329 ) ) ) ).
tff('Define:seext:23',axiom,
( ! [X_2330: $int,X_2331: $int] :
( mem2(X_2331,X_2330,g_s411_397)
=> ( mem0(X_2331,g_s231_227)
& mem0(X_2330,g_s167_163) ) )
& ! [X_2332: $int,X_2333: $int,X_2334: $int] :
( ( mem2(X_2332,X_2333,g_s411_397)
& mem2(X_2332,X_2334,g_s411_397) )
=> ( X_2333 = X_2334 ) ) ) ).
tff('Define:seext:24',axiom,
( ! [X_2335: $int,X_2336: $int] :
( mem2(X_2336,X_2335,g_s412_398)
=> ( mem0(X_2336,g_s231_227)
& mem0(X_2335,g_s196_192) ) )
& ! [X_2337: $int,X_2338: $int,X_2339: $int] :
( ( mem2(X_2337,X_2338,g_s412_398)
& mem2(X_2337,X_2339,g_s412_398) )
=> ( X_2338 = X_2339 ) ) ) ).
tff('Define:seext:25',axiom,
( ! [X_2340: $int,X_2341: $int] :
( mem2(X_2341,X_2340,g_s413_399)
=> ( mem0(X_2341,g_s231_227)
& mem0(X_2340,g_s213_209) ) )
& ! [X_2342: $int,X_2343: $int,X_2344: $int] :
( ( mem2(X_2342,X_2343,g_s413_399)
& mem2(X_2342,X_2344,g_s413_399) )
=> ( X_2343 = X_2344 ) ) ) ).
tff('Define:seext:26',axiom,
! [X_2345: $int] :
( mem0(X_2345,g_s414_400)
=> mem0(X_2345,g_s231_227) ) ).
tff('Define:seext:27',axiom,
( ! [X_2346: $int,X_2347: $int] :
( mem2(X_2347,X_2346,g_s415_401)
=> ( mem0(X_2347,g_s231_227)
& mem0(X_2346,g_s210_206) ) )
& ! [X_2348: $int,X_2349: $int,X_2350: $int] :
( ( mem2(X_2348,X_2349,g_s415_401)
& mem2(X_2348,X_2350,g_s415_401) )
=> ( X_2349 = X_2350 ) ) ) ).
tff('Define:seext:28',axiom,
( ! [X_2351: $int,X_2352: $int] :
( mem2(X_2352,X_2351,g_s416_402)
=> ( mem0(X_2352,g_s231_227)
& mem0(X_2351,g_s167_163) ) )
& ! [X_2353: $int,X_2354: $int,X_2355: $int] :
( ( mem2(X_2353,X_2354,g_s416_402)
& mem2(X_2353,X_2355,g_s416_402) )
=> ( X_2354 = X_2355 ) ) ) ).
tff('Define:seext:29',axiom,
( ! [X_2356: $int,X_2357: $int] :
( mem2(X_2357,X_2356,g_s417_403)
=> ( mem0(X_2357,g_s231_227)
& mem0(X_2356,g_s201_197) ) )
& ! [X_2358: $int,X_2359: $int,X_2360: $int] :
( ( mem2(X_2358,X_2359,g_s417_403)
& mem2(X_2358,X_2360,g_s417_403) )
=> ( X_2359 = X_2360 ) ) ) ).
tff('Define:seext:3',axiom,
mem0(g_s386_374,g_s124_122) ).
tff('Define:seext:30',axiom,
? [X_2361: set_2] :
( ! [X_2362: $int,X_2363: $int] :
( mem2(X_2363,X_2362,X_2361)
<=> mem2(X_2363,X_2362,g_s418_404) )
& ! [X_2364: $int,X_2365: $int,X_2366: $int] :
( ( mem2(X_2364,X_2365,X_2361)
& mem2(X_2364,X_2366,X_2361) )
=> ( X_2365 = X_2366 ) )
& ! [X_2367: $int] :
( mem0(X_2367,g_s231_227)
<=> ? [X_2368: $int] : mem2(X_2367,X_2368,X_2361) )
& ! [X_2369: $int] :
( ? [X_2370: $int] : mem2(X_2370,X_2369,X_2361)
=> mem0(X_2369,g_s26_26) ) ) ).
tff('Define:seext:31',axiom,
( ! [X_2371: $int,X_2372: $int] :
( mem2(X_2372,X_2371,g_s419_405)
=> ( mem0(X_2372,g_s231_227)
& mem0(X_2371,g_s210_206) ) )
& ! [X_2373: $int,X_2374: $int,X_2375: $int] :
( ( mem2(X_2373,X_2374,g_s419_405)
& mem2(X_2373,X_2375,g_s419_405) )
=> ( X_2374 = X_2375 ) ) ) ).
tff('Define:seext:32',axiom,
( ! [X_2376: $int,X_2377: $int] :
( mem2(X_2377,X_2376,g_s420_406)
=> ( mem0(X_2377,g_s231_227)
& mem0(X_2376,g_s167_163) ) )
& ! [X_2378: $int,X_2379: $int,X_2380: $int] :
( ( mem2(X_2378,X_2379,g_s420_406)
& mem2(X_2378,X_2380,g_s420_406) )
=> ( X_2379 = X_2380 ) ) ) ).
tff('Define:seext:33',axiom,
( ! [X_2381: $int,X_2382: $int] :
( mem2(X_2382,X_2381,g_s421_407)
=> ( mem0(X_2382,g_s231_227)
& mem0(X_2381,g_s201_197) ) )
& ! [X_2383: $int,X_2384: $int,X_2385: $int] :
( ( mem2(X_2383,X_2384,g_s421_407)
& mem2(X_2383,X_2385,g_s421_407) )
=> ( X_2384 = X_2385 ) ) ) ).
tff('Define:seext:34',axiom,
? [X_2386: set_2] :
( ! [X_2387: $int,X_2388: $int] :
( mem2(X_2388,X_2387,X_2386)
<=> mem2(X_2388,X_2387,g_s422_408) )
& ! [X_2389: $int,X_2390: $int,X_2391: $int] :
( ( mem2(X_2389,X_2390,X_2386)
& mem2(X_2389,X_2391,X_2386) )
=> ( X_2390 = X_2391 ) )
& ! [X_2392: $int] :
( mem0(X_2392,g_s231_227)
<=> ? [X_2393: $int] : mem2(X_2392,X_2393,X_2386) )
& ! [X_2394: $int] :
( ? [X_2395: $int] : mem2(X_2395,X_2394,X_2386)
=> mem0(X_2394,g_s26_26) ) ) ).
tff('Define:seext:35',axiom,
( ! [X_2396: $int,X_2397: $int] :
( mem2(X_2397,X_2396,g_s423_409)
=> ( mem0(X_2397,g_s231_227)
& mem0(X_2396,g_s213_209) ) )
& ! [X_2398: $int,X_2399: $int,X_2400: $int] :
( ( mem2(X_2398,X_2399,g_s423_409)
& mem2(X_2398,X_2400,g_s423_409) )
=> ( X_2399 = X_2400 ) ) ) ).
tff('Define:seext:36',axiom,
! [X_2401: $int] :
( mem0(X_2401,g_s424_410)
=> mem0(X_2401,g_s231_227) ) ).
tff('Define:seext:37',axiom,
( ! [X_2402: $int,X_2403: $int] :
( mem2(X_2403,X_2402,g_s425_411)
=> ( mem0(X_2403,g_s231_227)
& mem0(X_2402,g_s176_172) ) )
& ! [X_2404: $int,X_2405: $int,X_2406: $int] :
( ( mem2(X_2404,X_2405,g_s425_411)
& mem2(X_2404,X_2406,g_s425_411) )
=> ( X_2405 = X_2406 ) ) ) ).
tff('Define:seext:38',axiom,
( ! [X_2407: $int,X_2408: $int] :
( mem2(X_2408,X_2407,g_s426_412)
=> ( mem0(X_2408,g_s231_227)
& mem0(X_2407,g_s427_413) ) )
& ! [X_2409: $int,X_2410: $int,X_2411: $int] :
( ( mem2(X_2409,X_2410,g_s426_412)
& mem2(X_2409,X_2411,g_s426_412) )
=> ( X_2410 = X_2411 ) ) ) ).
tff('Define:seext:39',axiom,
! [X_2412: $int] :
( mem0(X_2412,g_s428_414)
=> mem0(X_2412,g_s231_227) ) ).
tff('Define:seext:4',axiom,
mem0(g_s387_375,g_s52_52) ).
tff('Define:seext:40',axiom,
! [X_2413: $int] :
( mem0(X_2413,g_s429_415)
=> mem0(X_2413,g_s231_227) ) ).
tff('Define:seext:41',axiom,
! [X_2414: $int] :
( mem0(X_2414,g_s430_416)
=> mem0(X_2414,g_s231_227) ) ).
tff('Define:seext:42',axiom,
! [X_2415: $int] :
( mem0(X_2415,g_s431_417)
=> mem0(X_2415,g_s231_227) ) ).
tff('Define:seext:43',axiom,
! [X_2416: $int] :
( mem0(X_2416,g_s432_418)
=> mem0(X_2416,g_s231_227) ) ).
tff('Define:seext:44',axiom,
! [X_2417: $int] :
( mem0(X_2417,g_s433_419)
=> mem0(X_2417,g_s231_227) ) ).
tff('Define:seext:45',axiom,
! [X_2418: $int] :
( mem0(X_2418,g_s434_420)
=> mem0(X_2418,g_s231_227) ) ).
tff('Define:seext:46',axiom,
! [X_2419: $int] :
( mem0(X_2419,g_s435_421)
=> mem0(X_2419,g_s231_227) ) ).
tff('Define:seext:47',axiom,
( ! [X_2420: $int,X_2421: $int] :
( mem2(X_2421,X_2420,g_s436_422)
=> ( mem0(X_2421,g_s231_227)
& mem0(X_2420,g_s227_223) ) )
& ! [X_2422: $int,X_2423: $int,X_2424: $int] :
( ( mem2(X_2422,X_2423,g_s436_422)
& mem2(X_2422,X_2424,g_s436_422) )
=> ( X_2423 = X_2424 ) ) ) ).
tff('Define:seext:48',axiom,
! [X_2425: $int] :
( mem0(X_2425,g_s437_423)
=> mem0(X_2425,g_s231_227) ) ).
tff('Define:seext:49',axiom,
! [X_2426: $int] :
( mem0(X_2426,g_s438_424)
=> mem0(X_2426,g_s231_227) ) ).
tff('Define:seext:5',axiom,
mem0(g_s388_377,g_s389_376) ).
tff('Define:seext:50',axiom,
! [X_2427: $int] :
( mem0(X_2427,g_s439_425)
=> mem0(X_2427,g_s231_227) ) ).
tff('Define:seext:51',axiom,
( ! [X_2428: $int,X_2429: $int] :
( mem2(X_2429,X_2428,g_s440_426)
=> ( mem0(X_2429,g_s231_227)
& mem0(X_2428,g_s125_123) ) )
& ! [X_2430: $int,X_2431: $int,X_2432: $int] :
( ( mem2(X_2430,X_2431,g_s440_426)
& mem2(X_2430,X_2432,g_s440_426) )
=> ( X_2431 = X_2432 ) ) ) ).
tff('Define:seext:52',axiom,
( ! [X_2433: $int,X_2434: $int] :
( mem2(X_2434,X_2433,g_s441_427)
=> ( mem0(X_2434,g_s231_227)
& mem0(X_2433,g_s125_123) ) )
& ! [X_2435: $int,X_2436: $int,X_2437: $int] :
( ( mem2(X_2435,X_2436,g_s441_427)
& mem2(X_2435,X_2437,g_s441_427) )
=> ( X_2436 = X_2437 ) ) ) ).
tff('Define:seext:53',axiom,
! [X_2438: $int] :
( mem0(X_2438,g_s442_428)
=> mem0(X_2438,g_s231_227) ) ).
tff('Define:seext:54',axiom,
( ! [X_2439: $int,X_2440: $int] :
( mem2(X_2440,X_2439,g_s443_429)
=> ( mem0(X_2440,g_s190_186)
& mem0(X_2439,g_s213_209) ) )
& ! [X_2441: $int,X_2442: $int,X_2443: $int] :
( ( mem2(X_2441,X_2442,g_s443_429)
& mem2(X_2441,X_2443,g_s443_429) )
=> ( X_2442 = X_2443 ) ) ) ).
tff('Define:seext:55',axiom,
( ! [X_2444: $int,X_2445: $int] :
( mem2(X_2445,X_2444,g_s444_430)
=> ( mem0(X_2445,g_s238_234)
& mem0(X_2444,g_s125_123) ) )
& ! [X_2446: $int,X_2447: $int,X_2448: $int] :
( ( mem2(X_2446,X_2447,g_s444_430)
& mem2(X_2446,X_2448,g_s444_430) )
=> ( X_2447 = X_2448 ) ) ) ).
tff('Define:seext:56',axiom,
( ! [X_2449: $int,X_2450: $int] :
( mem2(X_2450,X_2449,g_s445_431)
=> ( mem0(X_2450,g_s190_186)
& mem0(X_2449,g_s125_123) ) )
& ! [X_2451: $int,X_2452: $int,X_2453: $int] :
( ( mem2(X_2451,X_2452,g_s445_431)
& mem2(X_2451,X_2453,g_s445_431) )
=> ( X_2452 = X_2453 ) ) ) ).
tff('Define:seext:57',axiom,
( ! [X_2454: $int,X_2455: $int] :
( mem2(X_2455,X_2454,g_s446_432)
=> ( mem0(X_2455,g_s238_234)
& mem0(X_2454,g_s125_123) ) )
& ! [X_2456: $int,X_2457: $int,X_2458: $int] :
( ( mem2(X_2456,X_2457,g_s446_432)
& mem2(X_2456,X_2458,g_s446_432) )
=> ( X_2457 = X_2458 ) ) ) ).
tff('Define:seext:58',axiom,
? [X_2459: set_6] :
( ! [X_2460: set_0,X_2461: $int] :
( mem6(X_2461,X_2460,X_2459)
<=> mem6(X_2461,X_2460,g_s447_433) )
& ! [X_2462: $int,X_2463: set_0,X_2464: set_0] :
( ( mem6(X_2462,X_2463,X_2459)
& mem6(X_2462,X_2464,X_2459) )
=> ! [X_2465: $int] :
( mem0(X_2465,X_2463)
<=> mem0(X_2465,X_2464) ) )
& ! [X_2466: $int] :
( mem0(X_2466,g_s448_434)
<=> ? [X_2467: set_0] : mem6(X_2466,X_2467,X_2459) )
& ! [X_2468: set_0] :
( ? [X_2469: $int] : mem6(X_2469,X_2468,X_2459)
=> ! [X_2470: $int] :
( mem0(X_2470,X_2468)
=> mem0(X_2470,g_s449_435) ) ) ) ).
tff('Define:seext:59',axiom,
( ! [X_2471: $int,X_2472: $int] :
( mem2(X_2472,X_2471,g_s450_436)
=> ( mem0(X_2472,g_s448_434)
& mem0(X_2471,g_s125_123) ) )
& ! [X_2473: $int,X_2474: $int,X_2475: $int] :
( ( mem2(X_2473,X_2474,g_s450_436)
& mem2(X_2473,X_2475,g_s450_436) )
=> ( X_2474 = X_2475 ) ) ) ).
tff('Define:seext:6',axiom,
mem0(g_s390_379,g_s391_378) ).
tff('Define:seext:60',axiom,
! [X_2476: $int] :
( mem0(X_2476,g_s451_437)
=> mem0(X_2476,g_s448_434) ) ).
tff('Define:seext:61',axiom,
( ! [X_2477: $int,X_2478: $int] :
( mem2(X_2478,X_2477,g_s452_438)
=> ( mem0(X_2478,g_s448_434)
& mem0(X_2477,g_s125_123) ) )
& ! [X_2479: $int,X_2480: $int,X_2481: $int] :
( ( mem2(X_2479,X_2480,g_s452_438)
& mem2(X_2479,X_2481,g_s452_438) )
=> ( X_2480 = X_2481 ) ) ) ).
tff('Define:seext:62',axiom,
? [X_2482: set_7] :
( ! [X_2483: set_2,X_2484: $int] :
( mem7(X_2484,X_2483,X_2482)
<=> mem7(X_2484,X_2483,g_s453_439) )
& ! [X_2485: $int,X_2486: set_2,X_2487: set_2] :
( ( mem7(X_2485,X_2486,X_2482)
& mem7(X_2485,X_2487,X_2482) )
=> ! [X_2488: $int,X_2489: $int] :
( mem2(X_2489,X_2488,X_2486)
<=> mem2(X_2489,X_2488,X_2487) ) )
& ! [X_2490: $int] :
( mem0(X_2490,g_s448_434)
<=> ? [X_2491: set_2] : mem7(X_2490,X_2491,X_2482) )
& ! [X_2492: set_2] :
( ? [X_2493: $int] : mem7(X_2493,X_2492,X_2482)
=> ( ! [X_2494: $int,X_2495: $int] :
( mem2(X_2495,X_2494,X_2492)
=> ( mem0(X_2495,g_s454_440)
& mem0(X_2494,g_s455_441) ) )
& ! [X_2496: $int,X_2497: $int,X_2498: $int] :
( ( mem2(X_2496,X_2497,X_2492)
& mem2(X_2496,X_2498,X_2492) )
=> ( X_2497 = X_2498 ) ) ) ) ) ).
tff('Define:seext:63',axiom,
? [X_2499: set_6] :
( ! [X_2500: set_0,X_2501: $int] :
( mem6(X_2501,X_2500,X_2499)
<=> mem6(X_2501,X_2500,g_s456_442) )
& ! [X_2502: $int,X_2503: set_0,X_2504: set_0] :
( ( mem6(X_2502,X_2503,X_2499)
& mem6(X_2502,X_2504,X_2499) )
=> ! [X_2505: $int] :
( mem0(X_2505,X_2503)
<=> mem0(X_2505,X_2504) ) )
& ! [X_2506: $int] :
( mem0(X_2506,g_s448_434)
<=> ? [X_2507: set_0] : mem6(X_2506,X_2507,X_2499) )
& ! [X_2508: set_0] :
( ? [X_2509: $int] : mem6(X_2509,X_2508,X_2499)
=> ! [X_2510: $int] :
( mem0(X_2510,X_2508)
=> mem0(X_2510,g_s454_440) ) ) ) ).
tff('Define:seext:64',axiom,
( ! [X_2511: $int,X_2512: $int] :
( mem2(X_2512,X_2511,g_s457_443)
=> ( mem0(X_2512,g_s448_434)
& mem0(X_2511,g_s125_123) ) )
& ! [X_2513: $int,X_2514: $int,X_2515: $int] :
( ( mem2(X_2513,X_2514,g_s457_443)
& mem2(X_2513,X_2515,g_s457_443) )
=> ( X_2514 = X_2515 ) ) ) ).
tff('Define:seext:65',axiom,
! [X_2516: $int] :
( mem0(X_2516,g_s458_444)
=> mem0(X_2516,g_s448_434) ) ).
tff('Define:seext:66',axiom,
mem0(g_s459_446,g_s460_445) ).
tff('Define:seext:67',axiom,
mem0(g_s461_447,g_s460_445) ).
tff('Define:seext:68',axiom,
mem0(g_s462_448,g_s460_445) ).
tff('Define:seext:69',axiom,
mem0(g_s463_449,g_s460_445) ).
tff('Define:seext:7',axiom,
mem0(g_s392_381,g_s393_380) ).
tff('Define:seext:70',axiom,
mem0(g_s464_451,g_s465_450) ).
tff('Define:seext:71',axiom,
mem0(g_s466_452,g_s465_450) ).
tff('Define:seext:72',axiom,
mem0(g_s467_453,g_s465_450) ).
tff('Define:seext:73',axiom,
mem0(g_s468_454,g_s34_34) ).
tff('Define:seext:74',axiom,
mem0(g_s469_455,g_s465_450) ).
tff('Define:seext:75',axiom,
mem0(g_s470_456,g_s34_34) ).
tff('Define:seext:76',axiom,
mem0(g_s471_457,g_s38_38) ).
tff('Define:seext:77',axiom,
mem0(g_s472_459,g_s473_458) ).
tff('Define:seext:78',axiom,
mem0(g_s474_461,g_s475_460) ).
tff('Define:seext:79',axiom,
mem0(g_s476_463,g_s477_462) ).
tff('Define:seext:8',axiom,
mem0(g_s394_382,g_s391_378) ).
tff('Define:seext:80',axiom,
mem0(g_s478_464,g_s477_462) ).
tff('Define:seext:81',axiom,
mem0(g_s479_465,g_s38_38) ).
tff('Define:seext:82',axiom,
mem0(g_s480_466,g_s473_458) ).
tff('Define:seext:83',axiom,
mem0(g_s481_467,g_s475_460) ).
tff('Define:seext:84',axiom,
mem0(g_s482_468,g_s477_462) ).
tff('Define:seext:85',axiom,
mem0(g_s483_469,g_s477_462) ).
tff('Define:seext:86',axiom,
mem0(g_s484_471,g_s485_470) ).
tff('Define:seext:87',axiom,
mem0(g_s486_472,g_s485_470) ).
tff('Define:seext:88',axiom,
! [X_2517: $int] :
( mem0(X_2517,g_s487_473)
=> mem0(X_2517,g_s488_474) ) ).
tff('Define:seext:89',axiom,
! [X_2518: $int] :
( mem0(X_2518,g_s489_475)
=> mem0(X_2518,g_s488_474) ) ).
tff('Define:seext:9',axiom,
mem0(g_s395_383,g_s391_378) ).
tff('Define:seext:90',axiom,
( ! [X_2519: $int,X_2520: $int] :
( mem2(X_2520,X_2519,g_s490_476)
=> ( mem0(X_2520,g_s488_474)
& mem0(X_2519,g_s491_477) ) )
& ! [X_2521: $int,X_2522: $int,X_2523: $int] :
( ( mem2(X_2521,X_2522,g_s490_476)
& mem2(X_2521,X_2523,g_s490_476) )
=> ( X_2522 = X_2523 ) ) ) ).
tff('Define:seext:91',axiom,
! [X_2524: $int] :
( ? [X_2525: $int] : mem2(X_2524,X_2525,g_s415_401)
<=> ? [X_2526: $int] : mem2(X_2524,X_2526,g_s416_402) ) ).
tff('Define:seext:92',axiom,
! [X_2527: $int] :
( ? [X_2528: $int] : mem2(X_2527,X_2528,g_s415_401)
<=> ? [X_2529: $int] : mem2(X_2527,X_2529,g_s417_403) ) ).
tff('Define:seext:93',axiom,
! [X_2530: $int] :
( ? [X_2531: $int] : mem2(X_2530,X_2531,g_s415_401)
=> ? [X_2532: $int] : mem2(X_2530,X_2532,g_s436_422) ) ).
tff('Define:seext:94',axiom,
! [X_2533: $int] :
( ? [X_2534: $int] : mem2(X_2533,X_2534,g_s415_401)
=> ? [X_2535: $int] : mem2(X_2533,X_2535,g_s425_411) ) ).
tff('Define:seext:95',axiom,
! [X_2536: $int] :
( ? [X_2537: $int] : mem2(X_2536,X_2537,g_s417_403)
=> ? [X_2538: $int] : mem2(X_2536,X_2538,g_s421_407) ) ).
tff('Define:seext:96',axiom,
! [X_2539: $int] :
( ? [X_2540: $int] : mem2(X_2539,X_2540,g_s423_409)
=> ? [X_2541: $int] : mem2(X_2539,X_2541,g_s419_405) ) ).
tff('Define:seext:97',axiom,
! [X_2542: $int] :
( ? [X_2543: $int] : mem2(X_2542,X_2543,g_s419_405)
<=> ? [X_2544: $int] : mem2(X_2542,X_2544,g_s420_406) ) ).
tff('Define:seext:98',axiom,
! [X_2545: $int] :
( ? [X_2546: $int] : mem2(X_2545,X_2546,g_s419_405)
<=> ? [X_2547: $int] : mem2(X_2545,X_2547,g_s421_407) ) ).
tff('Define:seext:99',axiom,
! [X_2548: $int] :
( ? [X_2549: $int] : mem2(X_2548,X_2549,g_s419_405)
<=> ? [X_2550: $int] : mem2(X_2548,X_2550,g_s436_422) ) ).
%Global hypotheses
tff(gh_0_def,hypothesis,
mem0(g_s628_627,g_s119_119) ).
tff(gh_1_def,hypothesis,
mem0(g_s628_627,g_s231_227) ).
tff(gh_2_def,hypothesis,
( g_s714_666
<=> g_s714_1_667 ) ).
tff(gh_3_def,hypothesis,
g_s681_644 = g_s681_1_645 ).
tff(gh_4_def,hypothesis,
mem0(g_s628_627,g_s119_119) ).
tff(gh_5_def,hypothesis,
mem0(g_s628_627,g_s231_227) ).
%----Local hypotheses
tff('Local_Hyp:5',hypothesis,
~ ? [X_9516: $int] : mem2(g_s628_627,X_9516,g_s604_1_608) ).
tff('Local_Hyp:1',hypothesis,
mem0(g_s681_2_646,g_s98_98) ).
tff('Local_Hyp:3',hypothesis,
? [X_9503: $int] : mem2(g_s628_627,X_9503,g_s604_587) ).
%----Goal
tff('Goal',conjecture,
( ! [X_9519: $int,X_9520: $int] :
( mem2(X_9520,X_9519,g_s604_587)
=> ( ? [X_9521: $int] : mem2(X_9520,X_9521,g_s604_587)
& ? [X_9522: $int] : mem2(X_9522,X_9519,g_s604_587) ) )
& ! [X_9523: $int,X_9524: $int,X_9525: $int] :
( ( mem2(X_9523,X_9524,g_s604_587)
& mem2(X_9523,X_9525,g_s604_587) )
=> ( X_9524 = X_9525 ) ) ) ).
%------------------------------------------------------------------------------