TPTP Problem File: SWC523_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWC523_1 : TPTP v9.0.0. Released v9.0.0.
% Domain : Software Creation
% Problem : Atelier-B Proof Obligation: PO 4 113 Group s362 Tag s368
% Version : Especial.
% English :
% Refs : [Deh22] Deharbe (2022), Proof Obligations from the B Formal Me
% : [Deh24] Deharbe (2024), Email to Geoff Sutcliffe
% Source : [Deh24]
% Names : 0012-00058-4-113.tptp [Deh24]
% Status : Theorem
% Rating : 0.00 v9.0.0
% Syntax : Number of formulae : 958 ( 432 unt; 397 typ; 0 def)
% Number of atoms : 1172 ( 265 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 662 ( 47 ~; 38 |; 312 &)
% ( 100 <=>; 165 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 28 ( 4 fml; 24 var)
% Number arithmetic : 1213 ( 235 atm; 201 fun; 223 num; 554 var)
% Number of types : 11 ( 8 usr; 2 ari)
% Number of type conns : 42 ( 21 >; 21 *; 0 +; 0 <<)
% Number of predicates : 19 ( 12 usr; 6 prp; 0-4 aty)
% Number of functors : 395 ( 377 usr; 376 con; 0-2 aty)
% Number of variables : 612 ( 480 !; 132 ?; 612 :)
% SPC : TX0_THM_EQU_ARI
% Comments : Autogenerated by PPTRANS-TPTP - github.com/CLEARSY/pptranspog
%------------------------------------------------------------------------------
tff(set_0_type,type,
set_0: $tType ).
tff(mem0_type,type,
mem0: ( $int * set_0 ) > $o ).
tff(set_1_type,type,
set_1: $tType ).
tff(mem1_type,type,
mem1: ( $real * set_1 ) > $o ).
tff(b_division_type,type,
divB: ( $int * $int ) > $int ).
tff(b_division_def_1,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(0,X)
& $less(0,Y) )
=> ( divB(X,Y) = $quotient_f(X,Y) ) ) ).
tff(b_division_def_2,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(X,0)
& $less(0,Y) )
=> ( divB(X,Y) = $uminus($quotient_f($uminus(X),Y)) ) ) ).
tff(b_division_def_3,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(0,X)
& $less(Y,0) )
=> ( divB(X,Y) = $quotient_f(X,Y) ) ) ).
tff(b_division_def_4,axiom,
! [X: $int,Y: $int] :
( ( $lesseq(X,0)
& $less(Y,0) )
=> ( divB(X,Y) = $quotient_f($uminus(X),$uminus(Y)) ) ) ).
tff(exp_type,type,
exp: ( $int * $int ) > $int ).
tff(exp_def_1,axiom,
! [X: $int] : ( exp(X,0) = 1 ) ).
tff(exp_def_2,axiom,
! [X: $int,Y: $int] :
( $greatereq(Y,1)
=> ( exp(X,Y) = $sum(X,exp(X,$difference(Y,1))) ) ) ).
tff(rexp_type,type,
rexp: ( $real * $int ) > $real ).
tff(rexp_def_1,axiom,
! [X: $real] :
( ( X != 0.0 )
=> ( rexp(X,0) = 1.0 ) ) ).
tff(rexp_def_2,axiom,
! [X: $real,Y: $int] :
( $greatereq(Y,1)
=> ( rexp(X,Y) = $sum(X,rexp(X,$difference(Y,1))) ) ) ).
tff(isum_type,type,
isum: set_0 > $int ).
tff(isum_def_1,axiom,
! [S: set_0] :
( ! [X: $int] : ~ mem0(X,S)
=> ( isum(S) = 0 ) ) ).
tff(isum_def_2,axiom,
! [S1: set_0,S2: set_0,E: $int,N: $int] :
( ( ( isum(S1) = N )
& ~ mem0(E,S1)
& ! [X: $int] :
( mem0(X,S2)
=> ( ( X = E )
| mem0(X,S1) ) )
& ! [X: $int] :
( mem0(X,S1)
=> mem0(X,S2) ) )
=> ( isum(S2) = $sum(N,E) ) ) ).
tff(rsum_type,type,
rsum: set_1 > $real ).
tff(rsum_def_1,axiom,
! [S: set_1,X: $real] :
( ~ mem1(X,S)
=> ( rsum(S) = 0.0 ) ) ).
tff(rsum_def_2,axiom,
! [S1: set_1,S2: set_1,E: $real,N: $real] :
( ( ( rsum(S1) = N )
& ~ mem1(E,S1)
& ! [X: $real] :
( mem1(X,S2)
=> ( ( X = E )
| mem1(X,S1) ) )
& ! [X: $real] :
( mem1(X,S1)
=> mem1(X,S2) ) )
=> ( rsum(S2) = $sum(N,E) ) ) ).
tff(iprod_type,type,
iprod: set_0 > $int ).
tff(iprod_def_1,axiom,
! [S: set_0,X: $int] :
( ~ mem0(X,S)
=> ( iprod(S) = 1 ) ) ).
tff(iprod_def_2,axiom,
! [S1: set_0,S2: set_0,E: $int,N: $int] :
( ( ( iprod(S1) = N )
& ~ mem0(E,S1)
& ! [X: $int] :
( mem0(X,S2)
=> ( ( X = E )
| mem0(X,S1) ) )
& ! [X: $int] :
( ( ( X = E )
| mem0(X,S1) )
=> mem0(X,S2) ) )
=> ( isum(S2) = $product(N,E) ) ) ).
tff(rprod_type,type,
rprod: set_1 > $real ).
tff(rprod_def_1,axiom,
! [S: set_1,X: $real] :
( ~ mem1(X,S)
=> ( rprod(S) = 1.0 ) ) ).
tff(rprod_def_2,axiom,
! [S1: set_1,S2: set_1,E: $real,N: $real] :
( ( ( rprod(S1) = N )
& ~ mem1(E,S1)
& ! [X: $real] :
( mem1(X,S2)
=> ( ( X = E )
| mem1(X,S1) ) )
& ! [X: $real] :
( ( ( X = E )
| mem1(X,S1) )
=> mem1(X,S2) ) )
=> ( rprod(S2) = $sum(N,E) ) ) ).
tff(min_int_type,type,
min_int: $int ).
tff(max_int_type,type,
max_int: $int ).
tff(min_int_axiom,axiom,
min_int = $uminus(2147483648) ).
tff(max_int_axiom,axiom,
max_int = 2147483647 ).
%--------------------------------------------------------------------------
%----Global declarations
tff(g_s0_0_type,type,
g_s0_0: set_0 ).
tff(g_s100_95_type,type,
g_s100_95: $int ).
tff(g_s101_96_type,type,
g_s101_96: $int ).
tff(g_s102_97_type,type,
g_s102_97: $int ).
tff(g_s103_98_type,type,
g_s103_98: $int ).
tff(g_s104_99_type,type,
g_s104_99: $int ).
tff(g_s105_100_type,type,
g_s105_100: $int ).
tff(g_s106_101_type,type,
g_s106_101: $int ).
tff(g_s107_102_type,type,
g_s107_102: $int ).
tff(g_s108_103_type,type,
g_s108_103: $int ).
tff(g_s109_104_type,type,
g_s109_104: $int ).
tff(g_s10_10_type,type,
g_s10_10: $int ).
tff(g_s110_105_type,type,
g_s110_105: $int ).
tff(g_s111_106_type,type,
g_s111_106: $int ).
tff(g_s112_107_type,type,
g_s112_107: $int ).
tff(g_s113_108_type,type,
g_s113_108: $int ).
tff(g_s114_109_type,type,
g_s114_109: $int ).
tff(g_s115_110_type,type,
g_s115_110: $int ).
tff(g_s116_111_type,type,
g_s116_111: $int ).
tff(g_s117_112_type,type,
g_s117_112: $int ).
tff(g_s118_113_type,type,
g_s118_113: $int ).
tff(g_s119_114_type,type,
g_s119_114: $int ).
tff(g_s11_11_type,type,
g_s11_11: $int ).
tff(g_s120_115_type,type,
g_s120_115: $int ).
tff(g_s121_116_type,type,
g_s121_116: $int ).
tff(g_s122_117_type,type,
g_s122_117: $int ).
tff(g_s123_118_type,type,
g_s123_118: $int ).
tff(g_s124_119_type,type,
g_s124_119: $int ).
tff(g_s125_120_type,type,
g_s125_120: $int ).
tff(g_s126_121_type,type,
g_s126_121: $int ).
tff(g_s127_122_type,type,
g_s127_122: $int ).
tff(g_s128_123_type,type,
g_s128_123: $int ).
tff(g_s129_124_type,type,
g_s129_124: $int ).
tff(g_s12_12_type,type,
g_s12_12: $int ).
tff(g_s130_125_type,type,
g_s130_125: $int ).
tff(g_s131_126_type,type,
g_s131_126: $int ).
tff(g_s132_127_type,type,
g_s132_127: $int ).
tff(g_s133_128_type,type,
g_s133_128: $int ).
tff(g_s134_129_type,type,
g_s134_129: $int ).
tff(g_s135_130_type,type,
g_s135_130: $int ).
tff(g_s136_131_type,type,
g_s136_131: $int ).
tff(g_s137_132_type,type,
g_s137_132: $int ).
tff(g_s138_133_type,type,
g_s138_133: $int ).
tff(g_s139_134_type,type,
g_s139_134: $int ).
tff(g_s13_13_type,type,
g_s13_13: $int ).
tff(g_s140_135_type,type,
g_s140_135: $int ).
tff(g_s141_136_type,type,
g_s141_136: $int ).
tff(g_s142_137_type,type,
g_s142_137: $int ).
tff(g_s143_138_type,type,
g_s143_138: $int ).
tff(g_s144_139_type,type,
g_s144_139: $int ).
tff(g_s145_140_type,type,
g_s145_140: $int ).
tff(g_s146_141_type,type,
g_s146_141: $int ).
tff(g_s147_142_type,type,
g_s147_142: $int ).
tff(g_s148_143_type,type,
g_s148_143: $int ).
tff(g_s149_144_type,type,
g_s149_144: $int ).
tff(g_s14_14_type,type,
g_s14_14: $int ).
tff(g_s150_145_type,type,
g_s150_145: $int ).
tff(g_s151_146_type,type,
g_s151_146: $int ).
tff(g_s152_147_type,type,
g_s152_147: $int ).
tff(g_s153_148_type,type,
g_s153_148: $int ).
tff(g_s154_149_type,type,
g_s154_149: $int ).
tff(g_s155_150_type,type,
g_s155_150: $int ).
tff(g_s156_151_type,type,
g_s156_151: $int ).
tff(g_s157_152_type,type,
g_s157_152: $int ).
tff(g_s158_153_type,type,
g_s158_153: $int ).
tff(g_s159_154_type,type,
g_s159_154: $int ).
tff(g_s15_15_type,type,
g_s15_15: $int ).
tff(g_s160_155_type,type,
g_s160_155: $int ).
tff(g_s161_156_type,type,
g_s161_156: $int ).
tff(g_s162_157_type,type,
g_s162_157: $int ).
tff(g_s163_158_type,type,
g_s163_158: $int ).
tff(g_s164_159_type,type,
g_s164_159: $int ).
tff(g_s165_160_type,type,
g_s165_160: $int ).
tff(g_s166_161_type,type,
g_s166_161: $int ).
tff(g_s167_162_type,type,
g_s167_162: $int ).
tff(g_s168_163_type,type,
g_s168_163: $int ).
tff(g_s169_164_type,type,
g_s169_164: $int ).
tff(g_s16_16_type,type,
g_s16_16: $int ).
tff(g_s170_165_type,type,
g_s170_165: $int ).
tff(g_s171_166_type,type,
g_s171_166: $int ).
tff(g_s172_167_type,type,
g_s172_167: $int ).
tff(g_s173_168_type,type,
g_s173_168: $int ).
tff(g_s174_169_type,type,
g_s174_169: $int ).
tff(g_s175_170_type,type,
g_s175_170: $int ).
tff(g_s176_171_type,type,
g_s176_171: $int ).
tff(g_s177_172_type,type,
g_s177_172: $int ).
tff(g_s178_173_type,type,
g_s178_173: $int ).
tff(g_s179_174_type,type,
g_s179_174: $int ).
tff(g_s17_17_type,type,
g_s17_17: $int ).
tff(g_s180_175_type,type,
g_s180_175: $int ).
tff(g_s181_176_type,type,
g_s181_176: $int ).
tff(g_s182_177_type,type,
g_s182_177: $int ).
tff(g_s183_178_type,type,
g_s183_178: $int ).
tff(g_s184_179_type,type,
g_s184_179: $int ).
tff(g_s185_180_type,type,
g_s185_180: set_0 ).
tff(g_s186_181_type,type,
g_s186_181: set_0 ).
tff(g_s187_182_type,type,
g_s187_182: $int ).
tff(g_s188_183_type,type,
g_s188_183: $int ).
tff(g_s189_184_type,type,
g_s189_184: $int ).
tff(g_s18_18_type,type,
g_s18_18: $int ).
tff(g_s190_185_type,type,
g_s190_185: $int ).
tff(g_s191_186_type,type,
g_s191_186: $int ).
tff(g_s192_187_type,type,
g_s192_187: $int ).
tff(g_s193_188_type,type,
g_s193_188: $int ).
tff(g_s194_189_type,type,
g_s194_189: $int ).
tff(g_s195_190_type,type,
g_s195_190: $int ).
tff(g_s196_191_type,type,
g_s196_191: $int ).
tff(g_s197_192_type,type,
g_s197_192: $int ).
tff(g_s198_193_type,type,
g_s198_193: $int ).
tff(g_s199_194_type,type,
g_s199_194: $int ).
tff(g_s19_19_type,type,
g_s19_19: set_0 ).
tff(g_s1_1_type,type,
g_s1_1: $int ).
tff(g_s200_195_type,type,
g_s200_195: $int ).
tff(g_s201_196_type,type,
g_s201_196: $int ).
tff(g_s202_197_type,type,
g_s202_197: $int ).
tff(g_s203_198_type,type,
g_s203_198: $int ).
tff(g_s204_199_type,type,
g_s204_199: $int ).
tff(g_s205_200_type,type,
g_s205_200: $int ).
tff(g_s206_201_type,type,
g_s206_201: $int ).
tff(g_s207_202_type,type,
g_s207_202: $int ).
tff(g_s208_203_type,type,
g_s208_203: $int ).
tff(g_s209_204_type,type,
g_s209_204: $int ).
tff(g_s20_20_type,type,
g_s20_20: $int ).
tff(g_s210_205_type,type,
g_s210_205: $int ).
tff(g_s211_206_type,type,
g_s211_206: $int ).
tff(g_s212_207_type,type,
g_s212_207: $int ).
tff(g_s213_208_type,type,
g_s213_208: $int ).
tff(g_s214_209_type,type,
g_s214_209: $int ).
tff(g_s215_210_type,type,
g_s215_210: $int ).
tff(g_s216_211_type,type,
g_s216_211: $int ).
tff(g_s217_212_type,type,
g_s217_212: $int ).
tff(g_s218_213_type,type,
g_s218_213: $int ).
tff(g_s219_214_type,type,
g_s219_214: $int ).
tff(g_s21_21_type,type,
g_s21_21: $int ).
tff(g_s220_215_type,type,
g_s220_215: $int ).
tff(g_s221_216_type,type,
g_s221_216: $int ).
tff(g_s222_217_type,type,
g_s222_217: $int ).
tff(g_s223_218_type,type,
g_s223_218: $int ).
tff(g_s224_219_type,type,
g_s224_219: $int ).
tff(g_s225_220_type,type,
g_s225_220: $int ).
tff(g_s226_221_type,type,
g_s226_221: $int ).
tff(g_s227_222_type,type,
g_s227_222: $int ).
tff(g_s228_223_type,type,
g_s228_223: $int ).
tff(g_s229_224_type,type,
g_s229_224: $int ).
tff(g_s22_22_type,type,
g_s22_22: set_0 ).
tff(g_s230_225_type,type,
g_s230_225: $int ).
tff(g_s231_226_type,type,
g_s231_226: $int ).
tff(g_s232_227_type,type,
g_s232_227: $int ).
tff(g_s233_228_type,type,
g_s233_228: $int ).
tff(g_s234_229_type,type,
g_s234_229: $int ).
tff(g_s235_230_type,type,
g_s235_230: $int ).
tff(g_s236_231_type,type,
g_s236_231: $int ).
tff(g_s237_232_type,type,
g_s237_232: $int ).
tff(g_s238_233_type,type,
g_s238_233: $int ).
tff(g_s239_234_type,type,
g_s239_234: $int ).
tff(g_s23_23_type,type,
g_s23_23: $int ).
tff(g_s240_235_type,type,
g_s240_235: $int ).
tff(g_s241_236_type,type,
g_s241_236: $int ).
tff(g_s242_237_type,type,
g_s242_237: $int ).
tff(g_s243_238_type,type,
g_s243_238: $int ).
tff(g_s244_239_type,type,
g_s244_239: $int ).
tff(g_s245_240_type,type,
g_s245_240: $int ).
tff(g_s246_241_type,type,
g_s246_241: $int ).
tff(g_s247_242_type,type,
g_s247_242: $int ).
tff(g_s248_243_type,type,
g_s248_243: $int ).
tff(g_s249_244_type,type,
g_s249_244: $int ).
tff(g_s24_24_type,type,
g_s24_24: $int ).
tff(g_s250_245_type,type,
g_s250_245: $int ).
tff(g_s251_246_type,type,
g_s251_246: $int ).
tff(g_s252_247_type,type,
g_s252_247: $int ).
tff(g_s253_248_type,type,
g_s253_248: $int ).
tff(g_s254_249_type,type,
g_s254_249: $int ).
tff(g_s255_250_type,type,
g_s255_250: $int ).
tff(g_s256_251_type,type,
g_s256_251: $int ).
tff(g_s257_252_type,type,
g_s257_252: $int ).
tff(g_s258_253_type,type,
g_s258_253: $int ).
tff(g_s259_254_type,type,
g_s259_254: $int ).
tff(g_s25_25_type,type,
g_s25_25: $int ).
tff(g_s260_255_type,type,
g_s260_255: $int ).
tff(g_s261_256_type,type,
g_s261_256: $int ).
tff(g_s262_257_type,type,
g_s262_257: $int ).
tff(g_s263_258_type,type,
g_s263_258: $int ).
tff(g_s264_259_type,type,
g_s264_259: $int ).
tff(g_s265_260_type,type,
g_s265_260: $int ).
tff(g_s266_261_type,type,
g_s266_261: $int ).
tff(g_s267_262_type,type,
g_s267_262: $int ).
tff(g_s268_263_type,type,
g_s268_263: $int ).
tff(g_s269_264_type,type,
g_s269_264: $int ).
tff(g_s26_26_type,type,
g_s26_26: $int ).
tff(g_s270_265_type,type,
g_s270_265: $int ).
tff(g_s271_266_type,type,
g_s271_266: $int ).
tff(g_s272_267_type,type,
g_s272_267: $int ).
tff(g_s273_268_type,type,
g_s273_268: $int ).
tff(g_s274_269_type,type,
g_s274_269: $int ).
tff(g_s275_270_type,type,
g_s275_270: $int ).
tff(g_s276_271_type,type,
g_s276_271: $int ).
tff(g_s277_272_type,type,
g_s277_272: $int ).
tff(g_s278_273_type,type,
g_s278_273: $int ).
tff(g_s279_274_type,type,
g_s279_274: $int ).
tff(g_s27_27_type,type,
g_s27_27: $int ).
tff(g_s280_275_type,type,
g_s280_275: $int ).
tff(g_s281_276_type,type,
g_s281_276: $int ).
tff(g_s282_277_type,type,
g_s282_277: $int ).
tff(g_s283_278_type,type,
g_s283_278: $int ).
tff(g_s284_279_type,type,
g_s284_279: $int ).
tff(g_s285_280_type,type,
g_s285_280: $int ).
tff(g_s286_281_type,type,
g_s286_281: $int ).
tff(g_s287_282_type,type,
g_s287_282: $int ).
tff(g_s288_283_type,type,
g_s288_283: $int ).
tff(g_s289_284_type,type,
g_s289_284: $int ).
tff(g_s28_28_type,type,
g_s28_28: $int ).
tff(g_s290_285_type,type,
g_s290_285: $int ).
tff(g_s291_286_type,type,
g_s291_286: $int ).
tff(g_s292_287_type,type,
g_s292_287: $int ).
tff(g_s293_288_type,type,
g_s293_288: $int ).
tff(g_s294_289_type,type,
g_s294_289: $int ).
tff(g_s295_290_type,type,
g_s295_290: $int ).
tff(g_s296_291_type,type,
g_s296_291: $int ).
tff(g_s297_292_type,type,
g_s297_292: $int ).
tff(g_s298_293_type,type,
g_s298_293: $int ).
tff(g_s299_294_type,type,
g_s299_294: $int ).
tff(g_s29_29_type,type,
g_s29_29: $int ).
tff(g_s2_2_type,type,
g_s2_2: $int ).
tff(g_s300_295_type,type,
g_s300_295: $int ).
tff(g_s301_296_type,type,
g_s301_296: set_4 ).
tff(g_s302_297_type,type,
g_s302_297: set_3 ).
tff(g_s303_298_type,type,
g_s303_298: set_4 ).
tff(g_s304_299_type,type,
g_s304_299: set_3 ).
tff(g_s305_300_type,type,
g_s305_300: set_4 ).
tff(g_s306_301_type,type,
g_s306_301: set_0 ).
tff(g_s307_302_type,type,
g_s307_302: set_0 ).
tff(g_s308_303_type,type,
g_s308_303: set_0 ).
tff(g_s309_304_type,type,
g_s309_304: set_0 ).
tff(g_s30_30_type,type,
g_s30_30: $int ).
tff(g_s310_305_type,type,
g_s310_305: set_3 ).
tff(g_s311_306_type,type,
g_s311_306: set_3 ).
tff(g_s312_307_type,type,
g_s312_307: set_3 ).
tff(g_s313_308_type,type,
g_s313_308: set_3 ).
tff(g_s314_309_type,type,
g_s314_309: set_0 ).
tff(g_s315_310_type,type,
g_s315_310: set_0 ).
tff(g_s316_311_type,type,
g_s316_311: set_0 ).
tff(g_s317_312_type,type,
g_s317_312: set_0 ).
tff(g_s318_313_type,type,
g_s318_313: set_3 ).
tff(g_s319_314_type,type,
g_s319_314: set_3 ).
tff(g_s31_31_type,type,
g_s31_31: $int ).
tff(g_s320_315_type,type,
g_s320_315: set_0 ).
tff(g_s321_316_type,type,
g_s321_316: set_3 ).
tff(g_s322_339_type,type,
g_s322_339: $o ).
tff(g_s323_340_type,type,
g_s323_340: $o ).
tff(g_s324_341_type,type,
g_s324_341: $o ).
tff(g_s325_342_type,type,
g_s325_342: $o ).
tff(g_s326_317_type,type,
g_s326_317: $int ).
tff(g_s327_318_type,type,
g_s327_318: $int ).
tff(g_s328_319_type,type,
g_s328_319: $int ).
tff(g_s329_321_type,type,
g_s329_321: $int ).
tff(g_s32_33_type,type,
g_s32_33: $int ).
tff(g_s330_325_type,type,
g_s330_325: $int ).
tff(g_s331_323_type,type,
g_s331_323: $int ).
tff(g_s332_326_type,type,
g_s332_326: $int ).
tff(g_s333_328_type,type,
g_s333_328: $int ).
tff(g_s334_327_type,type,
g_s334_327: $int ).
tff(g_s335_322_type,type,
g_s335_322: set_3 ).
tff(g_s336_320_type,type,
g_s336_320: $int ).
tff(g_s337_324_type,type,
g_s337_324: set_3 ).
tff(g_s338_329_type,type,
g_s338_329: set_3 ).
tff(g_s339_1_330_type,type,
g_s339_1_330: $int ).
tff(g_s33_32_type,type,
g_s33_32: set_0 ).
tff(g_s340_1_331_type,type,
g_s340_1_331: $int ).
tff(g_s341_1_332_type,type,
g_s341_1_332: $int ).
tff(g_s342_1_333_type,type,
g_s342_1_333: $int ).
tff(g_s343_1_334_type,type,
g_s343_1_334: $int ).
tff(g_s344_1_335_type,type,
g_s344_1_335: $int ).
tff(g_s344_355_type,type,
g_s344_355: $int ).
tff(g_s345_1_336_type,type,
g_s345_1_336: $int ).
tff(g_s345_356_type,type,
g_s345_356: $int ).
tff(g_s346_1_337_type,type,
g_s346_1_337: $int ).
tff(g_s346_357_type,type,
g_s346_357: $int ).
tff(g_s347_1_338_type,type,
g_s347_1_338: $int ).
tff(g_s347_358_type,type,
g_s347_358: $int ).
tff(g_s348_1_343_type,type,
g_s348_1_343: $int ).
tff(g_s349_1_344_type,type,
g_s349_1_344: $int ).
tff(g_s34_35_type,type,
g_s34_35: $int ).
tff(g_s350_1_345_type,type,
g_s350_1_345: $int ).
tff(g_s351_1_346_type,type,
g_s351_1_346: $int ).
tff(g_s352_1_347_type,type,
g_s352_1_347: $int ).
tff(g_s353_1_348_type,type,
g_s353_1_348: $int ).
tff(g_s359_1_353_type,type,
g_s359_1_353: $int ).
tff(g_s359_349_type,type,
g_s359_349: $int ).
tff(g_s35_34_type,type,
g_s35_34: set_0 ).
tff(g_s363_1_354_type,type,
g_s363_1_354: $int ).
tff(g_s363_350_type,type,
g_s363_350: $int ).
tff(g_s364_351_type,type,
g_s364_351: $int ).
tff(g_s365_352_type,type,
g_s365_352: $int ).
tff(g_s366_359_type,type,
g_s366_359: $int ).
tff(g_s36_37_type,type,
g_s36_37: $int ).
tff(g_s37_36_type,type,
g_s37_36: set_0 ).
tff(g_s38_38_type,type,
g_s38_38: $int ).
tff(g_s39_39_type,type,
g_s39_39: $int ).
tff(g_s3_3_type,type,
g_s3_3: set_0 ).
tff(g_s40_40_type,type,
g_s40_40: set_0 ).
tff(g_s41_41_type,type,
g_s41_41: set_2 ).
tff(g_s42_42_type,type,
g_s42_42: set_3 ).
tff(g_s43_43_type,type,
g_s43_43: set_4 ).
tff(g_s44_44_type,type,
g_s44_44: set_4 ).
tff(g_s45_45_type,type,
g_s45_45: set_3 ).
tff(g_s46_46_type,type,
g_s46_46: set_4 ).
tff(g_s47_47_type,type,
g_s47_47: set_4 ).
tff(g_s48_48_type,type,
g_s48_48: set_3 ).
tff(g_s49_49_type,type,
g_s49_49: set_4 ).
tff(g_s4_4_type,type,
g_s4_4: $int ).
tff(g_s50_50_type,type,
g_s50_50: set_4 ).
tff(g_s51_51_type,type,
g_s51_51: set_4 ).
tff(g_s52_52_type,type,
g_s52_52: set_4 ).
tff(g_s53_53_type,type,
g_s53_53: set_4 ).
tff(g_s54_54_type,type,
g_s54_54: set_4 ).
tff(g_s55_55_type,type,
g_s55_55: set_4 ).
tff(g_s56_56_type,type,
g_s56_56: set_4 ).
tff(g_s57_57_type,type,
g_s57_57: set_4 ).
tff(g_s58_58_type,type,
g_s58_58: set_4 ).
tff(g_s59_59_type,type,
g_s59_59: set_4 ).
tff(g_s5_5_type,type,
g_s5_5: $int ).
tff(g_s60_60_type,type,
g_s60_60: set_4 ).
tff(g_s66_61_type,type,
g_s66_61: $int ).
tff(g_s67_62_type,type,
g_s67_62: $int ).
tff(g_s68_63_type,type,
g_s68_63: $int ).
tff(g_s69_64_type,type,
g_s69_64: $int ).
tff(g_s6_6_type,type,
g_s6_6: set_0 ).
tff(g_s70_65_type,type,
g_s70_65: $int ).
tff(g_s71_66_type,type,
g_s71_66: $int ).
tff(g_s72_67_type,type,
g_s72_67: $int ).
tff(g_s73_68_type,type,
g_s73_68: $int ).
tff(g_s74_69_type,type,
g_s74_69: $int ).
tff(g_s75_70_type,type,
g_s75_70: $int ).
tff(g_s76_71_type,type,
g_s76_71: $int ).
tff(g_s77_72_type,type,
g_s77_72: $int ).
tff(g_s78_73_type,type,
g_s78_73: $int ).
tff(g_s79_74_type,type,
g_s79_74: $int ).
tff(g_s7_7_type,type,
g_s7_7: $int ).
tff(g_s80_75_type,type,
g_s80_75: $int ).
tff(g_s81_76_type,type,
g_s81_76: $int ).
tff(g_s82_77_type,type,
g_s82_77: $int ).
tff(g_s83_78_type,type,
g_s83_78: $int ).
tff(g_s84_79_type,type,
g_s84_79: $int ).
tff(g_s85_80_type,type,
g_s85_80: $int ).
tff(g_s86_81_type,type,
g_s86_81: $int ).
tff(g_s87_82_type,type,
g_s87_82: $int ).
tff(g_s88_83_type,type,
g_s88_83: $int ).
tff(g_s89_84_type,type,
g_s89_84: $int ).
tff(g_s8_8_type,type,
g_s8_8: $int ).
tff(g_s90_85_type,type,
g_s90_85: $int ).
tff(g_s91_86_type,type,
g_s91_86: $int ).
tff(g_s92_87_type,type,
g_s92_87: $int ).
tff(g_s93_88_type,type,
g_s93_88: $int ).
tff(g_s94_89_type,type,
g_s94_89: $int ).
tff(g_s95_90_type,type,
g_s95_90: $int ).
tff(g_s96_91_type,type,
g_s96_91: $int ).
tff(g_s97_92_type,type,
g_s97_92: $int ).
tff(g_s98_93_type,type,
g_s98_93: $int ).
tff(g_s99_94_type,type,
g_s99_94: $int ).
tff(g_s9_9_type,type,
g_s9_9: set_0 ).
tff(mem2_type,type,
mem2: ( $o * $int * set_2 ) > $o ).
tff(mem3_type,type,
mem3: ( $int * $int * set_3 ) > $o ).
tff(mem4_type,type,
mem4: ( $int * $int * $int * set_4 ) > $o ).
tff(prod_0_type,type,
prod_0: $tType ).
tff(prod_0_empty,type,
prod_0_empty: prod_0 ).
tff(prod_0_insert,type,
prod_0: ( $o * $int ) > prod_0 ).
tff(prod_0_in,type,
prod_0_in: ( $o * $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: ( $int * $int ) > prod_1 ).
tff(prod_1_in,type,
prod_1_in: ( $int * $int * prod_1 ) > $o ).
tff(prod_2_type,type,
prod_2: $tType ).
tff(prod_2_empty,type,
prod_2_empty: prod_2 ).
tff(prod_2_insert,type,
prod_2: ( prod_1 * $int ) > prod_2 ).
tff(prod_2_in,type,
prod_2_in: ( prod_1 * $int * prod_2 ) > $o ).
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 ).
%----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,
$true ).
tff('Define:abs:1',axiom,
$true ).
tff('Define:abs:10',axiom,
$true ).
tff('Define:abs:11',axiom,
$true ).
tff('Define:abs:12',axiom,
$true ).
tff('Define:abs:13',axiom,
~ ? [X_441: $int] :
( $greatereq(X_441,$sum($difference($sum(g_s336_320,g_s329_321),g_s202_197),1))
& $lesseq(X_441,g_s336_320)
& mem3(X_441,g_s126_121,g_s335_322) ) ).
tff('Define:abs:14',axiom,
( $greater(g_s329_321,0)
=> ( ? [X_442: $int] :
! [X_443: $int] :
( ( X_443 = $difference($sum(g_s336_320,g_s329_321),g_s202_197) )
=> mem3(X_443,X_442,g_s335_322) )
& ! [X_444: $int] :
( ( X_444 = $difference($sum(g_s336_320,g_s329_321),g_s202_197) )
=> mem3(X_444,g_s126_121,g_s335_322) ) ) ) ).
tff('Define:abs:15',axiom,
~ ? [X_445: $int] :
( $greatereq(X_445,$sum($difference($sum(g_s336_320,g_s331_323),g_s203_198),1))
& $lesseq(X_445,g_s336_320)
& mem3(X_445,g_s126_121,g_s337_324) ) ).
tff('Define:abs:16',axiom,
( $greater(g_s331_323,0)
=> ( ? [X_446: $int] :
! [X_447: $int] :
( ( X_447 = $difference($sum(g_s336_320,g_s331_323),g_s203_198) )
=> mem3(X_447,X_446,g_s337_324) )
& ! [X_448: $int] :
( ( X_448 = $difference($sum(g_s336_320,g_s331_323),g_s203_198) )
=> mem3(X_448,g_s126_121,g_s337_324) ) ) ) ).
tff('Define:abs:17',axiom,
! [X_449: $int] :
( ( ( ( X_449 = $difference(g_s126_121,1) )
| ( X_449 = g_s126_121 ) )
& ? [X_450: $int] :
( $greatereq(X_450,$sum($difference($sum(g_s336_320,g_s330_325),g_s204_199),1))
& $lesseq(X_450,g_s336_320)
& mem3(X_450,X_449,g_s337_324) ) )
<=> $false ) ).
tff('Define:abs:18',axiom,
( $greater(g_s330_325,0)
=> ( ? [X_451: $int] :
! [X_452: $int] :
( ( X_452 = $difference($sum(g_s336_320,g_s330_325),g_s204_199) )
=> mem3(X_452,X_451,g_s337_324) )
& ( ! [X_453: $int,X_454: $int] :
( ( ( X_453 = $difference($sum(g_s336_320,g_s330_325),g_s204_199) )
& ( X_454 = $difference(g_s126_121,1) ) )
=> mem3(X_453,X_454,g_s337_324) )
| ! [X_455: $int] :
( ( X_455 = $difference($sum(g_s336_320,g_s330_325),g_s204_199) )
=> mem3(X_455,g_s126_121,g_s337_324) ) ) ) ) ).
tff('Define:abs:19',axiom,
$lesseq(g_s329_321,g_s202_197) ).
tff('Define:abs:2',axiom,
$true ).
tff('Define:abs:20',axiom,
$lesseq(g_s331_323,g_s203_198) ).
tff('Define:abs:21',axiom,
$lesseq(g_s330_325,g_s204_199) ).
tff('Define:abs:22',axiom,
$lesseq(g_s332_326,g_s209_204) ).
tff('Define:abs:23',axiom,
$lesseq(g_s334_327,g_s210_205) ).
tff('Define:abs:24',axiom,
$lesseq(g_s333_328,g_s211_206) ).
tff('Define:abs:25',axiom,
~ ? [X_456: $int] :
( $greatereq(X_456,$sum($difference($sum(g_s336_320,g_s332_326),g_s209_204),1))
& $lesseq(X_456,g_s336_320)
& mem3(X_456,g_s126_121,g_s335_322) ) ).
tff('Define:abs:26',axiom,
( $greater(g_s332_326,0)
=> ( ? [X_457: $int] :
! [X_458: $int] :
( ( X_458 = $difference($sum(g_s336_320,g_s332_326),g_s209_204) )
=> mem3(X_458,X_457,g_s335_322) )
& ! [X_459: $int] :
( ( X_459 = $difference($sum(g_s336_320,g_s332_326),g_s209_204) )
=> mem3(X_459,g_s126_121,g_s335_322) ) ) ) ).
tff('Define:abs:27',axiom,
~ ? [X_460: $int] :
( $greatereq(X_460,$sum($difference($sum(g_s336_320,g_s334_327),g_s210_205),1))
& $lesseq(X_460,g_s336_320)
& mem3(X_460,g_s126_121,g_s338_329) ) ).
tff('Define:abs:28',axiom,
( $greater(g_s334_327,0)
=> ( ? [X_461: $int] :
! [X_462: $int] :
( ( X_462 = $difference($sum(g_s336_320,g_s334_327),g_s210_205) )
=> mem3(X_462,X_461,g_s338_329) )
& ! [X_463: $int] :
( ( X_463 = $difference($sum(g_s336_320,g_s334_327),g_s210_205) )
=> mem3(X_463,g_s126_121,g_s338_329) ) ) ) ).
tff('Define:abs:29',axiom,
! [X_464: $int] :
( ( ( ( X_464 = $difference(g_s126_121,1) )
| ( X_464 = g_s126_121 ) )
& ? [X_465: $int] :
( $greatereq(X_465,$sum($difference($sum(g_s336_320,g_s333_328),g_s211_206),1))
& $lesseq(X_465,g_s336_320)
& mem3(X_465,X_464,g_s338_329) ) )
<=> $false ) ).
tff('Define:abs:3',axiom,
$true ).
tff('Define:abs:30',axiom,
( $greater(g_s333_328,0)
=> ( ? [X_466: $int] :
! [X_467: $int] :
( ( X_467 = $difference($sum(g_s336_320,g_s333_328),g_s211_206) )
=> mem3(X_467,X_466,g_s338_329) )
& ( ! [X_468: $int,X_469: $int] :
( ( ( X_468 = $difference($sum(g_s336_320,g_s333_328),g_s211_206) )
& ( X_469 = $difference(g_s126_121,1) ) )
=> mem3(X_468,X_469,g_s338_329) )
| ! [X_470: $int] :
( ( X_470 = $difference($sum(g_s336_320,g_s333_328),g_s211_206) )
=> mem3(X_470,g_s126_121,g_s338_329) ) ) ) ) ).
tff('Define:abs:31',axiom,
$greatereq(g_s336_320,0) ).
tff('Define:abs:32',axiom,
$greatereq(g_s326_317,0) ).
tff('Define:abs:33',axiom,
$true ).
tff('Define:abs:34',axiom,
$true ).
tff('Define:abs:35',axiom,
$greatereq(g_s327_318,0) ).
tff('Define:abs:36',axiom,
$true ).
tff('Define:abs:37',axiom,
$true ).
tff('Define:abs:38',axiom,
$greatereq(g_s328_319,0) ).
tff('Define:abs:39',axiom,
( ! [X_471: $int,X_472: $int] :
( mem3(X_472,X_471,g_s335_322)
=> ( $greatereq(X_472,0)
& $greatereq(X_471,0) ) )
& ! [X_473: $int,X_474: $int,X_475: $int] :
( ( mem3(X_473,X_474,g_s335_322)
& mem3(X_473,X_475,g_s335_322) )
=> ( X_474 = X_475 ) ) ) ).
tff('Define:abs:4',axiom,
mem0(g_s326_317,g_s33_32) ).
tff('Define:abs:40',axiom,
( ! [X_476: $int,X_477: $int] :
( mem3(X_477,X_476,g_s337_324)
=> ( $greatereq(X_477,0)
& $greatereq(X_476,0) ) )
& ! [X_478: $int,X_479: $int,X_480: $int] :
( ( mem3(X_478,X_479,g_s337_324)
& mem3(X_478,X_480,g_s337_324) )
=> ( X_479 = X_480 ) ) ) ).
tff('Define:abs:41',axiom,
( ! [X_481: $int,X_482: $int] :
( mem3(X_482,X_481,g_s338_329)
=> ( $greatereq(X_482,0)
& $greatereq(X_481,0) ) )
& ! [X_483: $int,X_484: $int,X_485: $int] :
( ( mem3(X_483,X_484,g_s338_329)
& mem3(X_483,X_485,g_s338_329) )
=> ( X_484 = X_485 ) ) ) ).
tff('Define:abs:42',axiom,
$lesseq(g_s326_317,g_s126_121) ).
tff('Define:abs:43',axiom,
$lesseq(g_s327_318,g_s126_121) ).
tff('Define:abs:44',axiom,
$lesseq(g_s328_319,g_s126_121) ).
tff('Define:abs:45',axiom,
! [X_486: $int] :
( ? [X_487: $int] : mem3(X_486,X_487,g_s335_322)
<=> ( $greatereq(X_486,1)
& $lesseq(X_486,g_s336_320) ) ) ).
tff('Define:abs:46',axiom,
! [X_488: $int] :
( ? [X_489: $int] : mem3(X_488,X_489,g_s337_324)
<=> ( $greatereq(X_488,1)
& $lesseq(X_488,g_s336_320) ) ) ).
tff('Define:abs:47',axiom,
! [X_490: $int] :
( ? [X_491: $int] : mem3(X_490,X_491,g_s338_329)
<=> ( $greatereq(X_490,1)
& $lesseq(X_490,g_s336_320) ) ) ).
tff('Define:abs:5',axiom,
mem0(g_s327_318,g_s33_32) ).
tff('Define:abs:6',axiom,
mem0(g_s328_319,g_s33_32) ).
tff('Define:abs:7',axiom,
$true ).
tff('Define:abs:8',axiom,
$true ).
tff('Define:abs:9',axiom,
$true ).
tff('Define:ctx:0',axiom,
( ! [X_5: $int] :
( mem0(X_5,g_s0_0)
<=> ( ( X_5 = g_s1_1 )
| ( X_5 = g_s2_2 ) ) )
& ( g_s1_1 != g_s2_2 ) ) ).
tff('Define:ctx:1',axiom,
( ! [X_6: $int] :
( mem0(X_6,g_s3_3)
<=> ( ( X_6 = g_s4_4 )
| ( X_6 = g_s5_5 ) ) )
& ( g_s4_4 != g_s5_5 ) ) ).
tff('Define:ctx:10',axiom,
mem0(g_s39_39,g_s37_36) ).
tff('Define:ctx:100',axiom,
mem0(g_s102_97,g_s37_36) ).
tff('Define:ctx:101',axiom,
g_s102_97 = $sum(g_s99_94,g_s92_87) ).
tff('Define:ctx:102',axiom,
mem0(g_s103_98,g_s37_36) ).
tff('Define:ctx:103',axiom,
g_s103_98 = $sum(g_s99_94,g_s93_88) ).
tff('Define:ctx:104',axiom,
mem0(g_s104_99,g_s37_36) ).
tff('Define:ctx:105',axiom,
g_s104_99 = $sum(g_s99_94,g_s94_89) ).
tff('Define:ctx:106',axiom,
mem0(g_s105_100,g_s37_36) ).
tff('Define:ctx:107',axiom,
g_s105_100 = $sum(g_s99_94,g_s95_90) ).
tff('Define:ctx:108',axiom,
mem0(g_s106_101,g_s37_36) ).
tff('Define:ctx:109',axiom,
g_s106_101 = $sum(g_s99_94,g_s96_91) ).
tff('Define:ctx:11',axiom,
g_s32_33 = 4294967295 ).
tff('Define:ctx:110',axiom,
mem0(g_s107_102,g_s33_32) ).
tff('Define:ctx:111',axiom,
mem0(g_s108_103,g_s33_32) ).
tff('Define:ctx:112',axiom,
mem0(g_s109_104,g_s33_32) ).
tff('Define:ctx:113',axiom,
mem0(g_s110_105,g_s33_32) ).
tff('Define:ctx:114',axiom,
mem0(g_s111_106,g_s33_32) ).
tff('Define:ctx:115',axiom,
mem0(g_s112_107,g_s33_32) ).
tff('Define:ctx:116',axiom,
mem0(g_s113_108,g_s33_32) ).
tff('Define:ctx:117',axiom,
mem0(g_s114_109,g_s33_32) ).
tff('Define:ctx:118',axiom,
mem0(g_s115_110,g_s33_32) ).
tff('Define:ctx:119',axiom,
mem0(g_s116_111,g_s33_32) ).
tff('Define:ctx:12',axiom,
g_s34_35 = 65535 ).
tff('Define:ctx:120',axiom,
mem0(g_s117_112,g_s33_32) ).
tff('Define:ctx:121',axiom,
mem0(g_s118_113,g_s33_32) ).
tff('Define:ctx:122',axiom,
mem0(g_s119_114,g_s33_32) ).
tff('Define:ctx:123',axiom,
mem0(g_s120_115,g_s33_32) ).
tff('Define:ctx:124',axiom,
mem0(g_s121_116,g_s33_32) ).
tff('Define:ctx:125',axiom,
mem0(g_s122_117,g_s33_32) ).
tff('Define:ctx:126',axiom,
mem0(g_s123_118,g_s33_32) ).
tff('Define:ctx:127',axiom,
mem0(g_s124_119,g_s33_32) ).
tff('Define:ctx:128',axiom,
mem0(g_s125_120,g_s33_32) ).
tff('Define:ctx:129',axiom,
mem0(g_s126_121,g_s37_36) ).
tff('Define:ctx:13',axiom,
g_s36_37 = 255 ).
tff('Define:ctx:130',axiom,
$lesseq(0,g_s126_121) ).
tff('Define:ctx:131',axiom,
$lesseq(2,g_s126_121) ).
tff('Define:ctx:132',axiom,
mem0(g_s127_122,g_s37_36) ).
tff('Define:ctx:133',axiom,
g_s127_122 = $difference(g_s126_121,1) ).
tff('Define:ctx:134',axiom,
mem0(g_s128_123,g_s37_36) ).
tff('Define:ctx:135',axiom,
mem0(g_s129_124,g_s37_36) ).
tff('Define:ctx:136',axiom,
g_s129_124 = $difference(g_s128_123,1) ).
tff('Define:ctx:137',axiom,
mem0(g_s130_125,g_s37_36) ).
tff('Define:ctx:138',axiom,
mem0(g_s131_126,g_s37_36) ).
tff('Define:ctx:139',axiom,
g_s131_126 = $difference(g_s130_125,1) ).
tff('Define:ctx:14',axiom,
( $greatereq(g_s38_38,0)
& $lesseq(g_s38_38,g_s36_37) ) ).
tff('Define:ctx:140',axiom,
mem0(g_s132_127,g_s35_34) ).
tff('Define:ctx:141',axiom,
mem0(g_s133_128,g_s35_34) ).
tff('Define:ctx:142',axiom,
mem0(g_s134_129,g_s35_34) ).
tff('Define:ctx:143',axiom,
mem0(g_s135_130,g_s35_34) ).
tff('Define:ctx:144',axiom,
g_s134_129 != g_s135_130 ).
tff('Define:ctx:145',axiom,
mem0(g_s136_131,g_s35_34) ).
tff('Define:ctx:146',axiom,
mem0(g_s137_132,g_s35_34) ).
tff('Define:ctx:147',axiom,
mem0(g_s138_133,g_s35_34) ).
tff('Define:ctx:148',axiom,
$greatereq(g_s139_134,0) ).
tff('Define:ctx:149',axiom,
g_s139_134 = $difference(g_s137_132,g_s138_133) ).
tff('Define:ctx:15',axiom,
( $greatereq(g_s39_39,0)
& $lesseq(g_s39_39,g_s36_37) ) ).
tff('Define:ctx:150',axiom,
mem0(g_s140_135,g_s35_34) ).
tff('Define:ctx:151',axiom,
mem0(g_s141_136,g_s35_34) ).
tff('Define:ctx:152',axiom,
mem0(g_s142_137,g_s35_34) ).
tff('Define:ctx:153',axiom,
mem0(g_s143_138,g_s35_34) ).
tff('Define:ctx:154',axiom,
mem0(g_s144_139,g_s37_36) ).
tff('Define:ctx:155',axiom,
mem0(g_s145_140,g_s37_36) ).
tff('Define:ctx:156',axiom,
g_s145_140 = $difference(g_s144_139,1) ).
tff('Define:ctx:157',axiom,
g_s130_125 = $product(g_s126_121,g_s144_139) ).
tff('Define:ctx:158',axiom,
$lesseq(1,g_s144_139) ).
tff('Define:ctx:159',axiom,
$less(g_s144_139,g_s36_37) ).
tff('Define:ctx:16',axiom,
g_s38_38 != g_s39_39 ).
tff('Define:ctx:160',axiom,
mem0(g_s146_141,g_s37_36) ).
tff('Define:ctx:161',axiom,
mem0(g_s147_142,g_s37_36) ).
tff('Define:ctx:162',axiom,
mem0(g_s148_143,g_s33_32) ).
tff('Define:ctx:163',axiom,
mem0(g_s149_144,g_s33_32) ).
tff('Define:ctx:164',axiom,
mem0(g_s150_145,g_s33_32) ).
tff('Define:ctx:165',axiom,
mem0(g_s151_146,g_s33_32) ).
tff('Define:ctx:166',axiom,
mem0(g_s152_147,g_s33_32) ).
tff('Define:ctx:167',axiom,
mem0(g_s153_148,g_s33_32) ).
tff('Define:ctx:168',axiom,
g_s153_148 = $difference(g_s152_147,1) ).
tff('Define:ctx:169',axiom,
mem0(g_s154_149,g_s33_32) ).
tff('Define:ctx:17',axiom,
! [X_11: $int] :
( mem0(X_11,g_s40_40)
<=> ( ( X_11 = g_s38_38 )
| ( X_11 = g_s39_39 ) ) ) ).
tff('Define:ctx:170',axiom,
mem0(g_s155_150,g_s33_32) ).
tff('Define:ctx:171',axiom,
g_s155_150 = $difference(g_s154_149,1) ).
tff('Define:ctx:172',axiom,
mem0(g_s156_151,g_s37_36) ).
tff('Define:ctx:173',axiom,
mem0(g_s157_152,g_s37_36) ).
tff('Define:ctx:174',axiom,
mem0(g_s158_153,g_s33_32) ).
tff('Define:ctx:175',axiom,
mem0(g_s159_154,g_s37_36) ).
tff('Define:ctx:176',axiom,
$lesseq(g_s159_154,g_s88_83) ).
tff('Define:ctx:177',axiom,
mem0(g_s160_155,g_s37_36) ).
tff('Define:ctx:178',axiom,
$lesseq(g_s160_155,g_s88_83) ).
tff('Define:ctx:179',axiom,
mem0(g_s161_156,g_s37_36) ).
tff('Define:ctx:18',axiom,
! [X_12: $int,X_13: $o] :
( mem2((X_13),X_12,g_s41_41)
<=> ( ( ( (X_13)
<=> $true )
& ( X_12 = g_s38_38 ) )
| ( ( (X_13)
<=> $false )
& ( X_12 = g_s39_39 ) ) ) ) ).
tff('Define:ctx:180',axiom,
$lesseq(g_s161_156,g_s157_152) ).
tff('Define:ctx:181',axiom,
mem0(g_s162_157,g_s37_36) ).
tff('Define:ctx:182',axiom,
$lesseq(g_s162_157,g_s157_152) ).
tff('Define:ctx:183',axiom,
mem0(g_s163_158,g_s37_36) ).
tff('Define:ctx:184',axiom,
$lesseq(g_s163_158,g_s157_152) ).
tff('Define:ctx:185',axiom,
mem0(g_s164_159,g_s37_36) ).
tff('Define:ctx:186',axiom,
$lesseq(g_s164_159,g_s157_152) ).
tff('Define:ctx:187',axiom,
mem0(g_s165_160,g_s37_36) ).
tff('Define:ctx:188',axiom,
mem0(g_s166_161,g_s37_36) ).
tff('Define:ctx:189',axiom,
mem0(g_s167_162,g_s37_36) ).
tff('Define:ctx:19',axiom,
! [X_14: $int] :
( mem0(X_14,g_s33_32)
<=> ( $greatereq(X_14,0)
& $lesseq(X_14,4294967295) ) ) ).
tff('Define:ctx:190',axiom,
mem0(g_s168_163,g_s37_36) ).
tff('Define:ctx:191',axiom,
g_s165_160 != g_s166_161 ).
tff('Define:ctx:192',axiom,
g_s165_160 != g_s167_162 ).
tff('Define:ctx:193',axiom,
g_s165_160 != g_s168_163 ).
tff('Define:ctx:194',axiom,
g_s166_161 != g_s167_162 ).
tff('Define:ctx:195',axiom,
g_s166_161 != g_s168_163 ).
tff('Define:ctx:196',axiom,
g_s167_162 != g_s168_163 ).
tff('Define:ctx:197',axiom,
! [X_300: $int] :
( ( $greatereq(X_300,0)
& $lesseq(X_300,g_s127_122) )
<=> ( ( X_300 = g_s165_160 )
| ( X_300 = g_s166_161 )
| ( X_300 = g_s167_162 )
| ( X_300 = g_s168_163 ) ) ) ).
tff('Define:ctx:198',axiom,
mem0(g_s169_164,g_s37_36) ).
tff('Define:ctx:199',axiom,
g_s169_164 = $product(g_s126_121,g_s126_121) ).
tff('Define:ctx:2',axiom,
( ! [X_7: $int] :
( mem0(X_7,g_s6_6)
<=> ( ( X_7 = g_s7_7 )
| ( X_7 = g_s8_8 ) ) )
& ( g_s7_7 != g_s8_8 ) ) ).
tff('Define:ctx:20',axiom,
! [X_15: $int] :
( mem0(X_15,g_s35_34)
<=> ( $greatereq(X_15,0)
& $lesseq(X_15,65535) ) ) ).
tff('Define:ctx:200',axiom,
mem0(g_s170_165,g_s37_36) ).
tff('Define:ctx:201',axiom,
g_s170_165 = $difference(g_s169_164,1) ).
tff('Define:ctx:202',axiom,
mem0(g_s171_166,g_s33_32) ).
tff('Define:ctx:203',axiom,
mem0(g_s172_167,g_s33_32) ).
tff('Define:ctx:204',axiom,
mem0(g_s173_168,g_s33_32) ).
tff('Define:ctx:205',axiom,
mem0(g_s174_169,g_s33_32) ).
tff('Define:ctx:206',axiom,
mem0(g_s175_170,g_s37_36) ).
tff('Define:ctx:207',axiom,
mem0(g_s176_171,g_s37_36) ).
tff('Define:ctx:208',axiom,
mem0(g_s177_172,g_s37_36) ).
tff('Define:ctx:209',axiom,
mem0(g_s178_173,g_s37_36) ).
tff('Define:ctx:21',axiom,
! [X_16: $int] :
( mem0(X_16,g_s37_36)
<=> ( $greatereq(X_16,0)
& $lesseq(X_16,255) ) ) ).
tff('Define:ctx:210',axiom,
mem0(g_s179_174,g_s37_36) ).
tff('Define:ctx:211',axiom,
mem0(g_s180_175,g_s37_36) ).
tff('Define:ctx:212',axiom,
mem0(g_s181_176,g_s37_36) ).
tff('Define:ctx:213',axiom,
mem0(g_s182_177,g_s37_36) ).
tff('Define:ctx:214',axiom,
mem0(g_s183_178,g_s37_36) ).
tff('Define:ctx:215',axiom,
mem0(g_s184_179,g_s37_36) ).
tff('Define:ctx:216',axiom,
! [X_301: $int] :
( mem0(X_301,g_s185_180)
<=> ( ( X_301 = $sum(g_s166_161,1) )
| ( X_301 = $sum(g_s167_162,1) ) ) ) ).
tff('Define:ctx:217',axiom,
! [X_302: $int] :
( mem0(X_302,g_s186_181)
<=> ( ( X_302 = $sum(g_s165_160,1) )
| ( X_302 = $sum(g_s168_163,1) ) ) ) ).
tff('Define:ctx:218',axiom,
mem0(g_s187_182,g_s37_36) ).
tff('Define:ctx:219',axiom,
$less($sum(g_s187_182,g_s126_121),g_s36_37) ).
tff('Define:ctx:22',axiom,
? [X_17: set_3] :
( ! [X_18: $int,X_19: $int] :
( mem3(X_19,X_18,X_17)
<=> mem3(X_19,X_18,g_s42_42) )
& ! [X_20: $int,X_21: $int,X_22: $int] :
( ( mem3(X_20,X_21,X_17)
& mem3(X_20,X_22,X_17) )
=> ( X_21 = X_22 ) )
& ! [X_23: $int] :
( mem0(X_23,g_s33_32)
<=> ? [X_24: $int] : mem3(X_23,X_24,X_17) )
& ! [X_25: $int] :
( ? [X_26: $int] : mem3(X_26,X_25,X_17)
=> mem0(X_25,g_s33_32) ) ) ).
tff('Define:ctx:220',axiom,
mem0(g_s188_183,g_s37_36) ).
tff('Define:ctx:221',axiom,
g_s188_183 = $sum(g_s187_182,g_s126_121) ).
tff('Define:ctx:222',axiom,
mem0(g_s189_184,g_s37_36) ).
tff('Define:ctx:223',axiom,
mem0(g_s190_185,g_s37_36) ).
tff('Define:ctx:224',axiom,
$less($sum(g_s190_185,g_s126_121),g_s36_37) ).
tff('Define:ctx:225',axiom,
mem0(g_s191_186,g_s37_36) ).
tff('Define:ctx:226',axiom,
g_s191_186 = $sum(g_s190_185,g_s126_121) ).
tff('Define:ctx:227',axiom,
mem0(g_s192_187,g_s37_36) ).
tff('Define:ctx:228',axiom,
g_s192_187 = $difference(g_s191_186,1) ).
tff('Define:ctx:229',axiom,
mem0(g_s193_188,g_s37_36) ).
tff('Define:ctx:23',axiom,
? [X_27: set_4] :
( ! [X_28: $int,X_29: $int,X_30: $int] :
( mem4(X_30,X_29,X_28,X_27)
<=> mem4(X_30,X_29,X_28,g_s43_43) )
& ! [X_31: $int,X_32: $int,X_33: $int,X_34: $int] :
( ( mem4(X_32,X_31,X_33,X_27)
& mem4(X_32,X_31,X_34,X_27) )
=> ( X_33 = X_34 ) )
& ! [X_35: $int,X_36: $int] :
( ( mem0(X_36,g_s33_32)
& mem0(X_35,g_s33_32) )
<=> ? [X_37: $int] : mem4(X_36,X_35,X_37,X_27) )
& ! [X_38: $int] :
( ? [X_39: $int,X_40: $int] : mem4(X_40,X_39,X_38,X_27)
=> mem0(X_38,g_s33_32) ) ) ).
tff('Define:ctx:230',axiom,
g_s193_188 = $difference(g_s191_186,2) ).
tff('Define:ctx:231',axiom,
mem0(g_s194_189,g_s37_36) ).
tff('Define:ctx:232',axiom,
$less($sum(g_s194_189,g_s126_121),g_s36_37) ).
tff('Define:ctx:233',axiom,
mem0(g_s195_190,g_s37_36) ).
tff('Define:ctx:234',axiom,
g_s195_190 = $sum(g_s194_189,g_s126_121) ).
tff('Define:ctx:235',axiom,
mem0(g_s196_191,g_s37_36) ).
tff('Define:ctx:236',axiom,
g_s196_191 = $difference(g_s195_190,1) ).
tff('Define:ctx:237',axiom,
mem0(g_s197_192,g_s37_36) ).
tff('Define:ctx:238',axiom,
g_s197_192 = $difference(g_s195_190,2) ).
tff('Define:ctx:239',axiom,
mem0(g_s198_193,g_s37_36) ).
tff('Define:ctx:24',axiom,
? [X_41: set_4] :
( ! [X_42: $int,X_43: $int,X_44: $int] :
( mem4(X_44,X_43,X_42,X_41)
<=> mem4(X_44,X_43,X_42,g_s44_44) )
& ! [X_45: $int,X_46: $int,X_47: $int,X_48: $int] :
( ( mem4(X_46,X_45,X_47,X_41)
& mem4(X_46,X_45,X_48,X_41) )
=> ( X_47 = X_48 ) )
& ! [X_49: $int,X_50: $int] :
( ( mem0(X_50,g_s33_32)
& mem0(X_49,g_s33_32) )
<=> ? [X_51: $int] : mem4(X_50,X_49,X_51,X_41) )
& ! [X_52: $int] :
( ? [X_53: $int,X_54: $int] : mem4(X_54,X_53,X_52,X_41)
=> mem0(X_52,g_s33_32) ) ) ).
tff('Define:ctx:240',axiom,
mem0(g_s199_194,g_s37_36) ).
tff('Define:ctx:241',axiom,
mem0(g_s200_195,g_s37_36) ).
tff('Define:ctx:242',axiom,
mem0(g_s201_196,g_s37_36) ).
tff('Define:ctx:243',axiom,
$greatereq(g_s202_197,1) ).
tff('Define:ctx:244',axiom,
$greatereq(g_s203_198,1) ).
tff('Define:ctx:245',axiom,
$greatereq(g_s204_199,1) ).
tff('Define:ctx:246',axiom,
mem0(g_s205_200,g_s37_36) ).
tff('Define:ctx:247',axiom,
$less(g_s205_200,g_s36_37) ).
tff('Define:ctx:248',axiom,
g_s205_200 = $sum(g_s201_196,g_s202_197) ).
tff('Define:ctx:249',axiom,
mem0(g_s206_201,g_s37_36) ).
tff('Define:ctx:25',axiom,
? [X_55: set_3] :
( ! [X_56: $int,X_57: $int] :
( mem3(X_57,X_56,X_55)
<=> mem3(X_57,X_56,g_s45_45) )
& ! [X_58: $int,X_59: $int,X_60: $int] :
( ( mem3(X_58,X_59,X_55)
& mem3(X_58,X_60,X_55) )
=> ( X_59 = X_60 ) )
& ! [X_61: $int] :
( mem0(X_61,g_s35_34)
<=> ? [X_62: $int] : mem3(X_61,X_62,X_55) )
& ! [X_63: $int] :
( ? [X_64: $int] : mem3(X_64,X_63,X_55)
=> mem0(X_63,g_s35_34) ) ) ).
tff('Define:ctx:250',axiom,
$less(g_s206_201,g_s36_37) ).
tff('Define:ctx:251',axiom,
g_s206_201 = $sum(g_s201_196,g_s203_198) ).
tff('Define:ctx:252',axiom,
mem0(g_s207_202,g_s37_36) ).
tff('Define:ctx:253',axiom,
$less(g_s207_202,g_s36_37) ).
tff('Define:ctx:254',axiom,
g_s207_202 = $sum(g_s201_196,g_s204_199) ).
tff('Define:ctx:255',axiom,
mem0(g_s208_203,g_s37_36) ).
tff('Define:ctx:256',axiom,
$greatereq(g_s209_204,1) ).
tff('Define:ctx:257',axiom,
$greatereq(g_s210_205,1) ).
tff('Define:ctx:258',axiom,
$greatereq(g_s211_206,1) ).
tff('Define:ctx:259',axiom,
mem0(g_s212_207,g_s37_36) ).
tff('Define:ctx:26',axiom,
? [X_65: set_4] :
( ! [X_66: $int,X_67: $int,X_68: $int] :
( mem4(X_68,X_67,X_66,X_65)
<=> mem4(X_68,X_67,X_66,g_s46_46) )
& ! [X_69: $int,X_70: $int,X_71: $int,X_72: $int] :
( ( mem4(X_70,X_69,X_71,X_65)
& mem4(X_70,X_69,X_72,X_65) )
=> ( X_71 = X_72 ) )
& ! [X_73: $int,X_74: $int] :
( ( mem0(X_74,g_s35_34)
& mem0(X_73,g_s35_34) )
<=> ? [X_75: $int] : mem4(X_74,X_73,X_75,X_65) )
& ! [X_76: $int] :
( ? [X_77: $int,X_78: $int] : mem4(X_78,X_77,X_76,X_65)
=> mem0(X_76,g_s35_34) ) ) ).
tff('Define:ctx:260',axiom,
$less(g_s212_207,g_s36_37) ).
tff('Define:ctx:261',axiom,
g_s212_207 = $sum(g_s208_203,g_s209_204) ).
tff('Define:ctx:262',axiom,
mem0(g_s213_208,g_s37_36) ).
tff('Define:ctx:263',axiom,
$less(g_s213_208,g_s36_37) ).
tff('Define:ctx:264',axiom,
g_s213_208 = $sum(g_s208_203,g_s210_205) ).
tff('Define:ctx:265',axiom,
mem0(g_s214_209,g_s37_36) ).
tff('Define:ctx:266',axiom,
$less(g_s214_209,g_s36_37) ).
tff('Define:ctx:267',axiom,
g_s214_209 = $sum(g_s208_203,g_s211_206) ).
tff('Define:ctx:268',axiom,
mem0(g_s215_210,g_s37_36) ).
tff('Define:ctx:269',axiom,
mem0(g_s216_211,g_s37_36) ).
tff('Define:ctx:27',axiom,
? [X_79: set_4] :
( ! [X_80: $int,X_81: $int,X_82: $int] :
( mem4(X_82,X_81,X_80,X_79)
<=> mem4(X_82,X_81,X_80,g_s47_47) )
& ! [X_83: $int,X_84: $int,X_85: $int,X_86: $int] :
( ( mem4(X_84,X_83,X_85,X_79)
& mem4(X_84,X_83,X_86,X_79) )
=> ( X_85 = X_86 ) )
& ! [X_87: $int,X_88: $int] :
( ( mem0(X_88,g_s35_34)
& mem0(X_87,g_s35_34) )
<=> ? [X_89: $int] : mem4(X_88,X_87,X_89,X_79) )
& ! [X_90: $int] :
( ? [X_91: $int,X_92: $int] : mem4(X_92,X_91,X_90,X_79)
=> mem0(X_90,g_s35_34) ) ) ).
tff('Define:ctx:270',axiom,
mem0(g_s217_212,g_s37_36) ).
tff('Define:ctx:271',axiom,
( $greatereq(g_s217_212,0)
& $lesseq(g_s217_212,100) ) ).
tff('Define:ctx:272',axiom,
mem0(g_s218_213,g_s35_34) ).
tff('Define:ctx:273',axiom,
$lesseq(g_s218_213,g_s34_35) ).
tff('Define:ctx:274',axiom,
mem0(g_s219_214,g_s37_36) ).
tff('Define:ctx:275',axiom,
( $greatereq(g_s219_214,0)
& $lesseq(g_s219_214,100) ) ).
tff('Define:ctx:276',axiom,
mem0(g_s220_215,g_s37_36) ).
tff('Define:ctx:277',axiom,
mem0(g_s221_216,g_s37_36) ).
tff('Define:ctx:278',axiom,
mem0(g_s222_217,g_s37_36) ).
tff('Define:ctx:279',axiom,
$greatereq(g_s223_218,0) ).
tff('Define:ctx:28',axiom,
? [X_93: set_3] :
( ! [X_94: $int,X_95: $int] :
( mem3(X_95,X_94,X_93)
<=> mem3(X_95,X_94,g_s48_48) )
& ! [X_96: $int,X_97: $int,X_98: $int] :
( ( mem3(X_96,X_97,X_93)
& mem3(X_96,X_98,X_93) )
=> ( X_97 = X_98 ) )
& ! [X_99: $int] :
( mem0(X_99,g_s37_36)
<=> ? [X_100: $int] : mem3(X_99,X_100,X_93) )
& ! [X_101: $int] :
( ? [X_102: $int] : mem3(X_102,X_101,X_93)
=> mem0(X_101,g_s37_36) ) ) ).
tff('Define:ctx:280',axiom,
$lesseq(1,g_s223_218) ).
tff('Define:ctx:281',axiom,
$greatereq(g_s224_219,0) ).
tff('Define:ctx:282',axiom,
$lesseq(1,g_s224_219) ).
tff('Define:ctx:283',axiom,
$greatereq(g_s225_220,0) ).
tff('Define:ctx:284',axiom,
$lesseq(1,g_s225_220) ).
tff('Define:ctx:285',axiom,
$greatereq(g_s226_221,0) ).
tff('Define:ctx:286',axiom,
$lesseq(1,g_s226_221) ).
tff('Define:ctx:287',axiom,
mem0(g_s227_222,g_s35_34) ).
tff('Define:ctx:288',axiom,
$lesseq(g_s227_222,g_s34_35) ).
tff('Define:ctx:289',axiom,
mem0(g_s228_223,g_s37_36) ).
tff('Define:ctx:29',axiom,
? [X_103: set_4] :
( ! [X_104: $int,X_105: $int,X_106: $int] :
( mem4(X_106,X_105,X_104,X_103)
<=> mem4(X_106,X_105,X_104,g_s49_49) )
& ! [X_107: $int,X_108: $int,X_109: $int,X_110: $int] :
( ( mem4(X_108,X_107,X_109,X_103)
& mem4(X_108,X_107,X_110,X_103) )
=> ( X_109 = X_110 ) )
& ! [X_111: $int,X_112: $int] :
( ( mem0(X_112,g_s37_36)
& mem0(X_111,g_s37_36) )
<=> ? [X_113: $int] : mem4(X_112,X_111,X_113,X_103) )
& ! [X_114: $int] :
( ? [X_115: $int,X_116: $int] : mem4(X_116,X_115,X_114,X_103)
=> mem0(X_114,g_s37_36) ) ) ).
tff('Define:ctx:290',axiom,
( $greatereq(g_s228_223,0)
& $lesseq(g_s228_223,100) ) ).
tff('Define:ctx:291',axiom,
mem0(g_s229_224,g_s35_34) ).
tff('Define:ctx:292',axiom,
$lesseq(g_s229_224,g_s34_35) ).
tff('Define:ctx:293',axiom,
mem0(g_s230_225,g_s37_36) ).
tff('Define:ctx:294',axiom,
( $greatereq(g_s230_225,0)
& $lesseq(g_s230_225,100) ) ).
tff('Define:ctx:295',axiom,
mem0(g_s231_226,g_s35_34) ).
tff('Define:ctx:296',axiom,
$lesseq(g_s231_226,g_s34_35) ).
tff('Define:ctx:297',axiom,
mem0(g_s232_227,g_s37_36) ).
tff('Define:ctx:298',axiom,
( $greatereq(g_s232_227,0)
& $lesseq(g_s232_227,100) ) ).
tff('Define:ctx:299',axiom,
mem0(g_s233_228,g_s37_36) ).
tff('Define:ctx:3',axiom,
( ! [X_8: $int] :
( mem0(X_8,g_s9_9)
<=> ( ( X_8 = g_s10_10 )
| ( X_8 = g_s11_11 )
| ( X_8 = g_s12_12 )
| ( X_8 = g_s13_13 )
| ( X_8 = g_s14_14 )
| ( X_8 = g_s15_15 )
| ( X_8 = g_s16_16 )
| ( X_8 = g_s17_17 )
| ( X_8 = g_s18_18 ) ) )
& ( g_s10_10 != g_s11_11 )
& ( g_s11_11 != g_s12_12 )
& ( g_s12_12 != g_s13_13 )
& ( g_s13_13 != g_s14_14 )
& ( g_s14_14 != g_s15_15 )
& ( g_s15_15 != g_s16_16 )
& ( g_s16_16 != g_s17_17 )
& ( g_s17_17 != g_s18_18 ) ) ).
tff('Define:ctx:30',axiom,
? [X_117: set_4] :
( ! [X_118: $int,X_119: $int,X_120: $int] :
( mem4(X_120,X_119,X_118,X_117)
<=> mem4(X_120,X_119,X_118,g_s50_50) )
& ! [X_121: $int,X_122: $int,X_123: $int,X_124: $int] :
( ( mem4(X_122,X_121,X_123,X_117)
& mem4(X_122,X_121,X_124,X_117) )
=> ( X_123 = X_124 ) )
& ! [X_125: $int,X_126: $int] :
( ( mem0(X_126,g_s37_36)
& mem0(X_125,g_s37_36) )
<=> ? [X_127: $int] : mem4(X_126,X_125,X_127,X_117) )
& ! [X_128: $int] :
( ? [X_129: $int,X_130: $int] : mem4(X_130,X_129,X_128,X_117)
=> mem0(X_128,g_s37_36) ) ) ).
tff('Define:ctx:300',axiom,
mem0(g_s234_229,g_s37_36) ).
tff('Define:ctx:301',axiom,
( $greatereq(g_s234_229,0)
& $lesseq(g_s234_229,100) ) ).
tff('Define:ctx:302',axiom,
mem0(g_s235_230,g_s35_34) ).
tff('Define:ctx:303',axiom,
mem0(g_s236_231,g_s37_36) ).
tff('Define:ctx:304',axiom,
mem0(g_s237_232,g_s35_34) ).
tff('Define:ctx:305',axiom,
mem0(g_s238_233,g_s35_34) ).
tff('Define:ctx:306',axiom,
mem0(g_s239_234,g_s35_34) ).
tff('Define:ctx:307',axiom,
mem0(g_s240_235,g_s35_34) ).
tff('Define:ctx:308',axiom,
mem0(g_s241_236,g_s37_36) ).
tff('Define:ctx:309',axiom,
mem0(g_s242_237,g_s37_36) ).
tff('Define:ctx:31',axiom,
? [X_131: set_4] :
( ! [X_132: $int,X_133: $int,X_134: $int] :
( mem4(X_134,X_133,X_132,X_131)
<=> mem4(X_134,X_133,X_132,g_s51_51) )
& ! [X_135: $int,X_136: $int,X_137: $int,X_138: $int] :
( ( mem4(X_136,X_135,X_137,X_131)
& mem4(X_136,X_135,X_138,X_131) )
=> ( X_137 = X_138 ) )
& ! [X_139: $int,X_140: $int] :
( ( mem0(X_140,g_s37_36)
& mem0(X_139,g_s37_36) )
<=> ? [X_141: $int] : mem4(X_140,X_139,X_141,X_131) )
& ! [X_142: $int] :
( ? [X_143: $int,X_144: $int] : mem4(X_144,X_143,X_142,X_131)
=> mem0(X_142,g_s37_36) ) ) ).
tff('Define:ctx:310',axiom,
g_s242_237 = $sum(g_s241_236,g_s126_121) ).
tff('Define:ctx:311',axiom,
$less(g_s242_237,g_s36_37) ).
tff('Define:ctx:312',axiom,
mem0(g_s243_238,g_s37_36) ).
tff('Define:ctx:313',axiom,
$lesseq($sum(g_s243_238,2),g_s36_37) ).
tff('Define:ctx:314',axiom,
mem0(g_s244_239,g_s37_36) ).
tff('Define:ctx:315',axiom,
g_s244_239 = $sum(g_s243_238,g_s126_121) ).
tff('Define:ctx:316',axiom,
$less(g_s244_239,g_s36_37) ).
tff('Define:ctx:317',axiom,
mem0(g_s245_240,g_s37_36) ).
tff('Define:ctx:318',axiom,
g_s245_240 = $difference(g_s244_239,1) ).
tff('Define:ctx:319',axiom,
mem0(g_s246_241,g_s37_36) ).
tff('Define:ctx:32',axiom,
? [X_145: set_4] :
( ! [X_146: $int,X_147: $int,X_148: $int] :
( mem4(X_148,X_147,X_146,X_145)
<=> mem4(X_148,X_147,X_146,g_s52_52) )
& ! [X_149: $int,X_150: $int,X_151: $int,X_152: $int] :
( ( mem4(X_150,X_149,X_151,X_145)
& mem4(X_150,X_149,X_152,X_145) )
=> ( X_151 = X_152 ) )
& ! [X_153: $int,X_154: $int] :
( ( mem0(X_154,g_s33_32)
& mem0(X_153,g_s33_32) )
<=> ? [X_155: $int] : mem4(X_154,X_153,X_155,X_145) )
& ! [X_156: $int] :
( ? [X_157: $int,X_158: $int] : mem4(X_158,X_157,X_156,X_145)
=> mem0(X_156,g_s33_32) ) ) ).
tff('Define:ctx:320',axiom,
mem0(g_s247_242,g_s37_36) ).
tff('Define:ctx:321',axiom,
g_s247_242 = $sum(g_s246_241,g_s223_218) ).
tff('Define:ctx:322',axiom,
mem0(g_s248_243,g_s37_36) ).
tff('Define:ctx:323',axiom,
g_s248_243 = $sum(g_s246_241,g_s224_219) ).
tff('Define:ctx:324',axiom,
mem0(g_s249_244,g_s37_36) ).
tff('Define:ctx:325',axiom,
g_s249_244 = $sum(g_s246_241,g_s225_220) ).
tff('Define:ctx:326',axiom,
mem0(g_s250_245,g_s37_36) ).
tff('Define:ctx:327',axiom,
g_s250_245 = $sum(g_s246_241,g_s226_221) ).
tff('Define:ctx:328',axiom,
mem0(g_s251_246,g_s37_36) ).
tff('Define:ctx:329',axiom,
mem0(g_s252_247,g_s37_36) ).
tff('Define:ctx:33',axiom,
? [X_159: set_4] :
( ! [X_160: $int,X_161: $int,X_162: $int] :
( mem4(X_162,X_161,X_160,X_159)
<=> mem4(X_162,X_161,X_160,g_s53_53) )
& ! [X_163: $int,X_164: $int,X_165: $int,X_166: $int] :
( ( mem4(X_164,X_163,X_165,X_159)
& mem4(X_164,X_163,X_166,X_159) )
=> ( X_165 = X_166 ) )
& ! [X_167: $int,X_168: $int] :
( ( mem0(X_168,g_s33_32)
& mem0(X_167,g_s33_32) )
<=> ? [X_169: $int] : mem4(X_168,X_167,X_169,X_159) )
& ! [X_170: $int] :
( ? [X_171: $int,X_172: $int] : mem4(X_172,X_171,X_170,X_159)
=> mem0(X_170,g_s33_32) ) ) ).
tff('Define:ctx:330',axiom,
mem0(g_s253_248,g_s37_36) ).
tff('Define:ctx:331',axiom,
$greatereq(g_s254_249,0) ).
tff('Define:ctx:332',axiom,
$greatereq(g_s255_250,1) ).
tff('Define:ctx:333',axiom,
$lesseq(1,g_s254_249) ).
tff('Define:ctx:334',axiom,
g_s254_249 = $difference(g_s252_247,g_s251_246) ).
tff('Define:ctx:335',axiom,
g_s255_250 = $difference(g_s253_248,g_s251_246) ).
tff('Define:ctx:336',axiom,
$greatereq(g_s256_251,0) ).
tff('Define:ctx:337',axiom,
$greatereq(g_s257_252,0) ).
tff('Define:ctx:338',axiom,
$greatereq(g_s258_253,0) ).
tff('Define:ctx:339',axiom,
$greatereq(g_s259_254,0) ).
tff('Define:ctx:34',axiom,
? [X_173: set_4] :
( ! [X_174: $int,X_175: $int,X_176: $int] :
( mem4(X_176,X_175,X_174,X_173)
<=> mem4(X_176,X_175,X_174,g_s54_54) )
& ! [X_177: $int,X_178: $int,X_179: $int,X_180: $int] :
( ( mem4(X_178,X_177,X_179,X_173)
& mem4(X_178,X_177,X_180,X_173) )
=> ( X_179 = X_180 ) )
& ! [X_181: $int,X_182: $int] :
( ( mem0(X_182,g_s33_32)
& mem0(X_181,g_s33_32) )
<=> ? [X_183: $int] : mem4(X_182,X_181,X_183,X_173) )
& ! [X_184: $int] :
( ? [X_185: $int,X_186: $int] : mem4(X_186,X_185,X_184,X_173)
=> mem0(X_184,g_s33_32) ) ) ).
tff('Define:ctx:340',axiom,
$lesseq(1,g_s258_253) ).
tff('Define:ctx:341',axiom,
mem0(g_s260_255,g_s37_36) ).
tff('Define:ctx:342',axiom,
mem0(g_s261_256,g_s37_36) ).
tff('Define:ctx:343',axiom,
mem0(g_s262_257,g_s37_36) ).
tff('Define:ctx:344',axiom,
mem0(g_s263_258,g_s37_36) ).
tff('Define:ctx:345',axiom,
mem0(g_s264_259,g_s37_36) ).
tff('Define:ctx:346',axiom,
g_s261_256 = $sum(g_s260_255,g_s256_251) ).
tff('Define:ctx:347',axiom,
g_s262_257 = $sum(g_s260_255,g_s257_252) ).
tff('Define:ctx:348',axiom,
g_s263_258 = $sum(g_s260_255,g_s258_253) ).
tff('Define:ctx:349',axiom,
g_s264_259 = $sum(g_s260_255,g_s259_254) ).
tff('Define:ctx:35',axiom,
? [X_187: set_4] :
( ! [X_188: $int,X_189: $int,X_190: $int] :
( mem4(X_190,X_189,X_188,X_187)
<=> mem4(X_190,X_189,X_188,g_s55_55) )
& ! [X_191: $int,X_192: $int,X_193: $int,X_194: $int] :
( ( mem4(X_192,X_191,X_193,X_187)
& mem4(X_192,X_191,X_194,X_187) )
=> ( X_193 = X_194 ) )
& ! [X_195: $int,X_196: $int] :
( ( mem0(X_196,g_s35_34)
& mem0(X_195,g_s35_34) )
<=> ? [X_197: $int] : mem4(X_196,X_195,X_197,X_187) )
& ! [X_198: $int] :
( ? [X_199: $int,X_200: $int] : mem4(X_200,X_199,X_198,X_187)
=> mem0(X_198,g_s35_34) ) ) ).
tff('Define:ctx:350',axiom,
mem0(g_s265_260,g_s37_36) ).
tff('Define:ctx:351',axiom,
mem0(g_s266_261,g_s37_36) ).
tff('Define:ctx:352',axiom,
mem0(g_s267_262,g_s37_36) ).
tff('Define:ctx:353',axiom,
$greatereq(g_s268_263,1) ).
tff('Define:ctx:354',axiom,
$greatereq(g_s269_264,1) ).
tff('Define:ctx:355',axiom,
g_s268_263 = $difference($difference(g_s266_261,g_s265_260),1) ).
tff('Define:ctx:356',axiom,
g_s269_264 = $difference($difference(g_s267_262,g_s265_260),1) ).
tff('Define:ctx:357',axiom,
mem0(g_s270_265,g_s33_32) ).
tff('Define:ctx:358',axiom,
mem0(g_s271_266,g_s37_36) ).
tff('Define:ctx:359',axiom,
mem0(g_s272_267,g_s37_36) ).
tff('Define:ctx:36',axiom,
? [X_201: set_4] :
( ! [X_202: $int,X_203: $int,X_204: $int] :
( mem4(X_204,X_203,X_202,X_201)
<=> mem4(X_204,X_203,X_202,g_s56_56) )
& ! [X_205: $int,X_206: $int,X_207: $int,X_208: $int] :
( ( mem4(X_206,X_205,X_207,X_201)
& mem4(X_206,X_205,X_208,X_201) )
=> ( X_207 = X_208 ) )
& ! [X_209: $int,X_210: $int] :
( ( mem0(X_210,g_s35_34)
& mem0(X_209,g_s35_34) )
<=> ? [X_211: $int] : mem4(X_210,X_209,X_211,X_201) )
& ! [X_212: $int] :
( ? [X_213: $int,X_214: $int] : mem4(X_214,X_213,X_212,X_201)
=> mem0(X_212,g_s35_34) ) ) ).
tff('Define:ctx:360',axiom,
$greatereq(g_s273_268,1) ).
tff('Define:ctx:361',axiom,
$greatereq(g_s274_269,1) ).
tff('Define:ctx:362',axiom,
$greatereq(g_s275_270,1) ).
tff('Define:ctx:363',axiom,
g_s273_268 = $difference(g_s270_265,g_s265_260) ).
tff('Define:ctx:364',axiom,
g_s274_269 = $difference(g_s271_266,g_s265_260) ).
tff('Define:ctx:365',axiom,
g_s275_270 = $difference($difference(g_s272_267,g_s265_260),1) ).
tff('Define:ctx:366',axiom,
$greatereq(g_s276_271,1) ).
tff('Define:ctx:367',axiom,
mem0(g_s277_272,g_s37_36) ).
tff('Define:ctx:368',axiom,
mem0(g_s278_273,g_s37_36) ).
tff('Define:ctx:369',axiom,
mem0(g_s279_274,g_s33_32) ).
tff('Define:ctx:37',axiom,
? [X_215: set_4] :
( ! [X_216: $int,X_217: $int,X_218: $int] :
( mem4(X_218,X_217,X_216,X_215)
<=> mem4(X_218,X_217,X_216,g_s57_57) )
& ! [X_219: $int,X_220: $int,X_221: $int,X_222: $int] :
( ( mem4(X_220,X_219,X_221,X_215)
& mem4(X_220,X_219,X_222,X_215) )
=> ( X_221 = X_222 ) )
& ! [X_223: $int,X_224: $int] :
( ( mem0(X_224,g_s35_34)
& mem0(X_223,g_s35_34) )
<=> ? [X_225: $int] : mem4(X_224,X_223,X_225,X_215) )
& ! [X_226: $int] :
( ? [X_227: $int,X_228: $int] : mem4(X_228,X_227,X_226,X_215)
=> mem0(X_226,g_s35_34) ) ) ).
tff('Define:ctx:370',axiom,
g_s276_271 = $difference($difference(g_s279_274,g_s277_272),1) ).
tff('Define:ctx:371',axiom,
$greatereq(g_s280_275,0) ).
tff('Define:ctx:372',axiom,
$greatereq(g_s281_276,1) ).
tff('Define:ctx:373',axiom,
$greatereq(g_s282_277,0) ).
tff('Define:ctx:374',axiom,
$greatereq(g_s283_278,0) ).
tff('Define:ctx:375',axiom,
$greatereq(g_s284_279,0) ).
tff('Define:ctx:376',axiom,
$greatereq(g_s285_280,0) ).
tff('Define:ctx:377',axiom,
$greatereq(g_s286_281,0) ).
tff('Define:ctx:378',axiom,
$greatereq(g_s287_282,0) ).
tff('Define:ctx:379',axiom,
$greatereq(g_s288_283,0) ).
tff('Define:ctx:38',axiom,
? [X_229: set_4] :
( ! [X_230: $int,X_231: $int,X_232: $int] :
( mem4(X_232,X_231,X_230,X_229)
<=> mem4(X_232,X_231,X_230,g_s58_58) )
& ! [X_233: $int,X_234: $int,X_235: $int,X_236: $int] :
( ( mem4(X_234,X_233,X_235,X_229)
& mem4(X_234,X_233,X_236,X_229) )
=> ( X_235 = X_236 ) )
& ! [X_237: $int,X_238: $int] :
( ( mem0(X_238,g_s37_36)
& mem0(X_237,g_s37_36) )
<=> ? [X_239: $int] : mem4(X_238,X_237,X_239,X_229) )
& ! [X_240: $int] :
( ? [X_241: $int,X_242: $int] : mem4(X_242,X_241,X_240,X_229)
=> mem0(X_240,g_s37_36) ) ) ).
tff('Define:ctx:380',axiom,
$greatereq(g_s289_284,0) ).
tff('Define:ctx:381',axiom,
mem0(g_s290_285,g_s37_36) ).
tff('Define:ctx:382',axiom,
$lesseq(1,g_s290_285) ).
tff('Define:ctx:383',axiom,
mem0(g_s291_286,g_s37_36) ).
tff('Define:ctx:384',axiom,
g_s291_286 = $sum(g_s290_285,g_s288_283) ).
tff('Define:ctx:385',axiom,
mem0(g_s292_287,g_s37_36) ).
tff('Define:ctx:386',axiom,
g_s292_287 = $sum(g_s290_285,g_s289_284) ).
tff('Define:ctx:387',axiom,
mem0(g_s293_288,g_s37_36) ).
tff('Define:ctx:388',axiom,
g_s293_288 = $sum(g_s290_285,g_s283_278) ).
tff('Define:ctx:389',axiom,
mem0(g_s294_289,g_s37_36) ).
tff('Define:ctx:39',axiom,
? [X_243: set_4] :
( ! [X_244: $int,X_245: $int,X_246: $int] :
( mem4(X_246,X_245,X_244,X_243)
<=> mem4(X_246,X_245,X_244,g_s59_59) )
& ! [X_247: $int,X_248: $int,X_249: $int,X_250: $int] :
( ( mem4(X_248,X_247,X_249,X_243)
& mem4(X_248,X_247,X_250,X_243) )
=> ( X_249 = X_250 ) )
& ! [X_251: $int,X_252: $int] :
( ( mem0(X_252,g_s37_36)
& mem0(X_251,g_s37_36) )
<=> ? [X_253: $int] : mem4(X_252,X_251,X_253,X_243) )
& ! [X_254: $int] :
( ? [X_255: $int,X_256: $int] : mem4(X_256,X_255,X_254,X_243)
=> mem0(X_254,g_s37_36) ) ) ).
tff('Define:ctx:390',axiom,
g_s294_289 = $sum(g_s290_285,g_s282_277) ).
tff('Define:ctx:391',axiom,
mem0(g_s295_290,g_s37_36) ).
tff('Define:ctx:392',axiom,
g_s295_290 = $sum(g_s290_285,g_s284_279) ).
tff('Define:ctx:393',axiom,
mem0(g_s296_291,g_s37_36) ).
tff('Define:ctx:394',axiom,
g_s296_291 = $sum(g_s290_285,g_s287_282) ).
tff('Define:ctx:395',axiom,
mem0(g_s297_292,g_s37_36) ).
tff('Define:ctx:396',axiom,
g_s297_292 = $sum(g_s290_285,g_s285_280) ).
tff('Define:ctx:397',axiom,
mem0(g_s298_293,g_s37_36) ).
tff('Define:ctx:398',axiom,
g_s298_293 = $sum(g_s290_285,g_s286_281) ).
tff('Define:ctx:399',axiom,
mem0(g_s299_294,g_s33_32) ).
tff('Define:ctx:4',axiom,
( ! [X_9: $int] :
( mem0(X_9,g_s19_19)
<=> ( ( X_9 = g_s20_20 )
| ( X_9 = g_s21_21 ) ) )
& ( g_s20_20 != g_s21_21 ) ) ).
tff('Define:ctx:40',axiom,
? [X_257: set_4] :
( ! [X_258: $int,X_259: $int,X_260: $int] :
( mem4(X_260,X_259,X_258,X_257)
<=> mem4(X_260,X_259,X_258,g_s60_60) )
& ! [X_261: $int,X_262: $int,X_263: $int,X_264: $int] :
( ( mem4(X_262,X_261,X_263,X_257)
& mem4(X_262,X_261,X_264,X_257) )
=> ( X_263 = X_264 ) )
& ! [X_265: $int,X_266: $int] :
( ( mem0(X_266,g_s37_36)
& mem0(X_265,g_s37_36) )
<=> ? [X_267: $int] : mem4(X_266,X_265,X_267,X_257) )
& ! [X_268: $int] :
( ? [X_269: $int,X_270: $int] : mem4(X_270,X_269,X_268,X_257)
=> mem0(X_268,g_s37_36) ) ) ).
tff('Define:ctx:400',axiom,
g_s299_294 = $sum(g_s290_285,g_s280_275) ).
tff('Define:ctx:401',axiom,
mem0(g_s300_295,g_s37_36) ).
tff('Define:ctx:402',axiom,
g_s300_295 = $sum(g_s290_285,g_s281_276) ).
tff('Define:ctx:403',axiom,
? [X_303: set_4] :
( ! [X_304: $int,X_305: $int,X_306: $int] :
( mem4(X_306,X_305,X_304,X_303)
<=> mem4(X_306,X_305,X_304,g_s301_296) )
& ! [X_307: $int,X_308: $int,X_309: $int,X_310: $int] :
( ( mem4(X_308,X_307,X_309,X_303)
& mem4(X_308,X_307,X_310,X_303) )
=> ( X_309 = X_310 ) )
& ! [X_311: $int,X_312: $int] :
( ( mem0(X_312,g_s22_22)
& mem0(X_311,g_s22_22) )
<=> ? [X_313: $int] : mem4(X_312,X_311,X_313,X_303) )
& ! [X_314: $int] :
( ? [X_315: $int,X_316: $int] : mem4(X_316,X_315,X_314,X_303)
=> mem0(X_314,g_s37_36) ) ) ).
tff('Define:ctx:404',axiom,
! [X_317: $int,X_318: $int] :
( mem3(X_318,X_317,g_s302_297)
<=> ? [X_319: $int] :
( ( X_319 = g_s38_38 )
& mem4(X_318,X_317,X_319,g_s301_296) ) ) ).
tff('Define:ctx:405',axiom,
? [X_320: set_4] :
( ! [X_321: $int,X_322: $int,X_323: $int] :
( mem4(X_323,X_322,X_321,X_320)
<=> mem4(X_323,X_322,X_321,g_s303_298) )
& ! [X_324: $int,X_325: $int,X_326: $int,X_327: $int] :
( ( mem4(X_325,X_324,X_326,X_320)
& mem4(X_325,X_324,X_327,X_320) )
=> ( X_326 = X_327 ) )
& ! [X_328: $int,X_329: $int] :
( ( mem0(X_329,g_s22_22)
& mem0(X_328,g_s22_22) )
<=> ? [X_330: $int] : mem4(X_329,X_328,X_330,X_320) )
& ! [X_331: $int] :
( ? [X_332: $int,X_333: $int] : mem4(X_333,X_332,X_331,X_320)
=> ( mem0(X_331,g_s35_34)
& ( X_331 != 65535 ) ) ) ) ).
tff('Define:ctx:406',axiom,
! [X_334: $int,X_335: $int] :
( mem3(X_335,X_334,g_s304_299)
=> ( mem0(X_335,g_s22_22)
& mem0(X_334,g_s22_22) ) ) ).
tff('Define:ctx:407',axiom,
? [X_336: set_4] :
( ! [X_337: $int,X_338: $int,X_339: $int] :
( mem4(X_339,X_338,X_337,X_336)
<=> mem4(X_339,X_338,X_337,g_s305_300) )
& ! [X_340: $int,X_341: $int,X_342: $int,X_343: $int] :
( ( mem4(X_341,X_340,X_342,X_336)
& mem4(X_341,X_340,X_343,X_336) )
=> ( X_342 = X_343 ) )
& ! [X_344: $int,X_345: $int] :
( ( mem0(X_345,g_s22_22)
& mem0(X_344,g_s22_22) )
<=> ? [X_346: $int] : mem4(X_345,X_344,X_346,X_336) )
& ! [X_347: $int] :
( ? [X_348: $int,X_349: $int] : mem4(X_349,X_348,X_347,X_336)
=> mem0(X_347,g_s35_34) ) ) ).
tff('Define:ctx:408',axiom,
! [X_350: $int,X_351: $int,X_352: $int] :
( mem4(X_352,X_351,X_350,g_s305_300)
<=> ( ( mem3(X_352,X_351,g_s304_299)
& ( X_350 = 65535 ) )
| ( mem4(X_352,X_351,X_350,g_s303_298)
& ~ ? [X_353: $int] :
( mem3(X_352,X_351,g_s304_299)
& ( X_353 = 65535 ) ) ) ) ) ).
tff('Define:ctx:409',axiom,
! [X_354: $int,X_355: $int] :
( mem3(X_355,X_354,g_s302_297)
=> ( mem0(X_355,g_s22_22)
& mem0(X_354,g_s22_22) ) ) ).
tff('Define:ctx:41',axiom,
! [X_271: $int,X_272: $int,X_273: $int] :
( mem4(X_273,X_272,X_271,g_s52_52)
<=> ( mem0(X_273,g_s33_32)
& mem0(X_272,g_s33_32)
& ( X_271 = $remainder_f($sum(X_273,X_272),$sum(g_s32_33,1)) ) ) ) ).
tff('Define:ctx:42',axiom,
! [X_274: $int,X_275: $int,X_276: $int] :
( mem4(X_276,X_275,X_274,g_s53_53)
<=> ( mem0(X_276,g_s33_32)
& mem0(X_275,g_s33_32)
& ( X_274 = $remainder_f($sum($sum($difference(X_276,X_275),g_s32_33),1),$sum(g_s32_33,1)) ) ) ) ).
tff('Define:ctx:43',axiom,
! [X_277: $int,X_278: $int,X_279: $int] :
( mem4(X_279,X_278,X_277,g_s54_54)
<=> ( mem0(X_279,g_s33_32)
& mem0(X_278,g_s33_32)
& ( X_277 = $remainder_f($product(X_279,X_278),$sum(g_s32_33,1)) ) ) ) ).
tff('Define:ctx:44',axiom,
! [X_280: $int,X_281: $int,X_282: $int] :
( mem4(X_282,X_281,X_280,g_s55_55)
<=> ( mem0(X_282,g_s35_34)
& mem0(X_281,g_s35_34)
& ( X_280 = $remainder_f($sum(X_282,X_281),$sum(g_s34_35,1)) ) ) ) ).
tff('Define:ctx:45',axiom,
! [X_283: $int,X_284: $int,X_285: $int] :
( mem4(X_285,X_284,X_283,g_s56_56)
<=> ( mem0(X_285,g_s35_34)
& mem0(X_284,g_s35_34)
& ( X_283 = $remainder_f($sum($sum($difference(X_285,X_284),g_s34_35),1),$sum(g_s34_35,1)) ) ) ) ).
tff('Define:ctx:46',axiom,
! [X_286: $int,X_287: $int,X_288: $int] :
( mem4(X_288,X_287,X_286,g_s57_57)
<=> ( mem0(X_288,g_s35_34)
& mem0(X_287,g_s35_34)
& ( X_286 = $remainder_f($product(X_288,X_287),$sum(g_s34_35,1)) ) ) ) ).
tff('Define:ctx:47',axiom,
! [X_289: $int,X_290: $int,X_291: $int] :
( mem4(X_291,X_290,X_289,g_s58_58)
<=> ( mem0(X_291,g_s37_36)
& mem0(X_290,g_s37_36)
& ( X_289 = $remainder_f($sum(X_291,X_290),$sum(g_s36_37,1)) ) ) ) ).
tff('Define:ctx:48',axiom,
! [X_292: $int,X_293: $int,X_294: $int] :
( mem4(X_294,X_293,X_292,g_s59_59)
<=> ( mem0(X_294,g_s37_36)
& mem0(X_293,g_s37_36)
& ( X_292 = $remainder_f($sum($sum($difference(X_294,X_293),g_s36_37),1),$sum(g_s36_37,1)) ) ) ) ).
tff('Define:ctx:49',axiom,
! [X_295: $int,X_296: $int,X_297: $int] :
( mem4(X_297,X_296,X_295,g_s60_60)
<=> ( mem0(X_297,g_s37_36)
& mem0(X_296,g_s37_36)
& ( X_295 = $remainder_f($product(X_297,X_296),$sum(g_s36_37,1)) ) ) ) ).
tff('Define:ctx:5',axiom,
( ! [X_10: $int] :
( mem0(X_10,g_s22_22)
<=> ( ( X_10 = g_s23_23 )
| ( X_10 = g_s24_24 )
| ( X_10 = g_s25_25 )
| ( X_10 = g_s26_26 )
| ( X_10 = g_s27_27 )
| ( X_10 = g_s28_28 )
| ( X_10 = g_s29_29 )
| ( X_10 = g_s30_30 )
| ( X_10 = g_s31_31 ) ) )
& ( g_s23_23 != g_s24_24 )
& ( g_s24_24 != g_s25_25 )
& ( g_s25_25 != g_s26_26 )
& ( g_s26_26 != g_s27_27 )
& ( g_s27_27 != g_s28_28 )
& ( g_s28_28 != g_s29_29 )
& ( g_s29_29 != g_s30_30 )
& ( g_s30_30 != g_s31_31 ) ) ).
tff('Define:ctx:50',axiom,
! [L_s65: $int] :
( mem0(L_s65,g_s33_32)
=> ! [X_298: $int] :
( ! [X_299: $int] :
( ( X_299 = 1023 )
=> mem4(L_s65,X_299,X_298,g_s43_43) )
=> $lesseq(X_298,1023) ) ) ).
tff('Define:ctx:51',axiom,
mem0(g_s66_61,g_s37_36) ).
tff('Define:ctx:52',axiom,
mem0(g_s67_62,g_s37_36) ).
tff('Define:ctx:53',axiom,
mem0(g_s68_63,g_s35_34) ).
tff('Define:ctx:54',axiom,
mem0(g_s69_64,g_s35_34) ).
tff('Define:ctx:55',axiom,
mem0(g_s70_65,g_s33_32) ).
tff('Define:ctx:56',axiom,
mem0(g_s71_66,g_s33_32) ).
tff('Define:ctx:57',axiom,
$greatereq(g_s72_67,0) ).
tff('Define:ctx:58',axiom,
$lesseq(2,g_s72_67) ).
tff('Define:ctx:59',axiom,
$greatereq(g_s73_68,0) ).
tff('Define:ctx:6',axiom,
mem0(g_s32_33,g_s33_32) ).
tff('Define:ctx:60',axiom,
$lesseq(2,g_s73_68) ).
tff('Define:ctx:61',axiom,
$greatereq(g_s74_69,0) ).
tff('Define:ctx:62',axiom,
$lesseq(2,g_s74_69) ).
tff('Define:ctx:63',axiom,
$lesseq(g_s72_67,g_s74_69) ).
tff('Define:ctx:64',axiom,
mem0(g_s75_70,g_s37_36) ).
tff('Define:ctx:65',axiom,
mem0(g_s76_71,g_s37_36) ).
tff('Define:ctx:66',axiom,
g_s76_71 = $sum(g_s75_70,g_s72_67) ).
tff('Define:ctx:67',axiom,
mem0(g_s77_72,g_s37_36) ).
tff('Define:ctx:68',axiom,
g_s77_72 = $sum(g_s75_70,g_s73_68) ).
tff('Define:ctx:69',axiom,
mem0(g_s78_73,g_s37_36) ).
tff('Define:ctx:7',axiom,
mem0(g_s34_35,g_s35_34) ).
tff('Define:ctx:70',axiom,
g_s78_73 = $sum(g_s75_70,g_s74_69) ).
tff('Define:ctx:71',axiom,
mem0(g_s79_74,g_s35_34) ).
tff('Define:ctx:72',axiom,
mem0(g_s80_75,g_s35_34) ).
tff('Define:ctx:73',axiom,
mem0(g_s81_76,g_s37_36) ).
tff('Define:ctx:74',axiom,
$lesseq(g_s79_74,g_s80_75) ).
tff('Define:ctx:75',axiom,
mem0(g_s82_77,g_s33_32) ).
tff('Define:ctx:76',axiom,
mem0(g_s83_78,g_s33_32) ).
tff('Define:ctx:77',axiom,
mem0(g_s84_79,g_s33_32) ).
tff('Define:ctx:78',axiom,
mem0(g_s85_80,g_s33_32) ).
tff('Define:ctx:79',axiom,
mem0(g_s86_81,g_s33_32) ).
tff('Define:ctx:8',axiom,
mem0(g_s36_37,g_s37_36) ).
tff('Define:ctx:80',axiom,
mem0(g_s87_82,g_s37_36) ).
tff('Define:ctx:81',axiom,
$lesseq(2,g_s87_82) ).
tff('Define:ctx:82',axiom,
mem0(g_s88_83,g_s37_36) ).
tff('Define:ctx:83',axiom,
g_s88_83 = $difference(g_s87_82,1) ).
tff('Define:ctx:84',axiom,
$greatereq(g_s89_84,1) ).
tff('Define:ctx:85',axiom,
$greatereq(g_s90_85,1) ).
tff('Define:ctx:86',axiom,
$greatereq(g_s91_86,1) ).
tff('Define:ctx:87',axiom,
$greatereq(g_s92_87,1) ).
tff('Define:ctx:88',axiom,
$greatereq(g_s93_88,1) ).
tff('Define:ctx:89',axiom,
$greatereq(g_s94_89,1) ).
tff('Define:ctx:9',axiom,
mem0(g_s38_38,g_s37_36) ).
tff('Define:ctx:90',axiom,
$greatereq(g_s95_90,1) ).
tff('Define:ctx:91',axiom,
$greatereq(g_s96_91,1) ).
tff('Define:ctx:92',axiom,
mem0(g_s97_92,g_s37_36) ).
tff('Define:ctx:93',axiom,
mem0(g_s98_93,g_s37_36) ).
tff('Define:ctx:94',axiom,
g_s98_93 = $sum(g_s97_92,g_s89_84) ).
tff('Define:ctx:95',axiom,
mem0(g_s99_94,g_s37_36) ).
tff('Define:ctx:96',axiom,
mem0(g_s100_95,g_s37_36) ).
tff('Define:ctx:97',axiom,
g_s100_95 = $sum(g_s99_94,g_s90_85) ).
tff('Define:ctx:98',axiom,
mem0(g_s101_96,g_s37_36) ).
tff('Define:ctx:99',axiom,
g_s101_96 = $sum(g_s99_94,g_s91_86) ).
tff('Define:imext:0',axiom,
$true ).
tff('Define:imext:1',axiom,
$true ).
tff('Define:imext:2',axiom,
$true ).
tff('Define:imext:3',axiom,
$true ).
tff('Define:imext:4',axiom,
$true ).
tff('Define:imext:5',axiom,
$true ).
tff('Define:inv:0',axiom,
mem0(g_s339_1_330,g_s37_36) ).
tff('Define:inv:1',axiom,
mem0(g_s340_1_331,g_s37_36) ).
tff('Define:inv:10',axiom,
g_s345_1_336 = $sum(g_s327_318,g_s190_185) ).
tff('Define:inv:11',axiom,
g_s346_1_337 = $sum(g_s328_319,g_s194_189) ).
tff('Define:inv:12',axiom,
mem2(g_s322_339,g_s339_1_330,g_s41_41) ).
tff('Define:inv:13',axiom,
mem2(g_s323_340,g_s340_1_331,g_s41_41) ).
tff('Define:inv:14',axiom,
mem2(g_s324_341,g_s341_1_332,g_s41_41) ).
tff('Define:inv:15',axiom,
mem2(g_s325_342,g_s342_1_333,g_s41_41) ).
tff('Define:inv:16',axiom,
g_s329_321 = g_s348_1_343 ).
tff('Define:inv:17',axiom,
g_s330_325 = g_s349_1_344 ).
tff('Define:inv:18',axiom,
g_s331_323 = g_s350_1_345 ).
tff('Define:inv:19',axiom,
g_s332_326 = g_s351_1_346 ).
tff('Define:inv:2',axiom,
mem0(g_s341_1_332,g_s37_36) ).
tff('Define:inv:20',axiom,
g_s333_328 = g_s352_1_347 ).
tff('Define:inv:21',axiom,
g_s334_327 = g_s353_1_348 ).
tff('Define:inv:3',axiom,
mem0(g_s342_1_333,g_s37_36) ).
tff('Define:inv:4',axiom,
mem0(g_s343_1_334,g_s37_36) ).
tff('Define:inv:5',axiom,
mem0(g_s344_1_335,g_s37_36) ).
tff('Define:inv:6',axiom,
mem0(g_s345_1_336,g_s37_36) ).
tff('Define:inv:7',axiom,
mem0(g_s346_1_337,g_s37_36) ).
tff('Define:inv:8',axiom,
mem0(g_s347_1_338,g_s37_36) ).
tff('Define:inv:9',axiom,
g_s344_1_335 = $sum(g_s326_317,g_s187_182) ).
tff('Define:seext:0',axiom,
! [X_356: $int] :
( mem0(X_356,g_s306_301)
=> ( $greatereq(X_356,1)
& $lesseq(X_356,g_s126_121) ) ) ).
tff('Define:seext:1',axiom,
! [X_357: $int] :
( mem0(X_357,g_s307_302)
=> ( $greatereq(X_357,1)
& $lesseq(X_357,g_s126_121) ) ) ).
tff('Define:seext:10',axiom,
! [X_402: $int] :
( mem0(X_402,g_s316_311)
=> ( $greatereq(X_402,1)
& $lesseq(X_402,g_s126_121) ) ) ).
tff('Define:seext:11',axiom,
! [X_403: $int] :
( mem0(X_403,g_s317_312)
=> ( $greatereq(X_403,1)
& $lesseq(X_403,g_s126_121) ) ) ).
tff('Define:seext:12',axiom,
( ! [X_404: $int,X_405: $int] :
( mem3(X_405,X_404,g_s318_313)
=> ( $greatereq(X_405,1)
& $lesseq(X_405,g_s126_121)
& mem0(X_404,g_s35_34) ) )
& ! [X_406: $int,X_407: $int,X_408: $int] :
( ( mem3(X_406,X_407,g_s318_313)
& mem3(X_406,X_408,g_s318_313) )
=> ( X_407 = X_408 ) ) ) ).
tff('Define:seext:13',axiom,
( ! [X_409: $int,X_410: $int] :
( mem3(X_410,X_409,g_s319_314)
=> ( $greatereq(X_410,1)
& $lesseq(X_410,g_s126_121)
& mem0(X_409,g_s35_34) ) )
& ! [X_411: $int,X_412: $int,X_413: $int] :
( ( mem3(X_411,X_412,g_s319_314)
& mem3(X_411,X_413,g_s319_314) )
=> ( X_412 = X_413 ) ) ) ).
tff('Define:seext:14',axiom,
! [X_414: $int] :
( mem0(X_414,g_s320_315)
=> ( $greatereq(X_414,1)
& $lesseq(X_414,g_s126_121) ) ) ).
tff('Define:seext:15',axiom,
? [X_415: set_3] :
( ! [X_416: $int,X_417: $int] :
( mem3(X_417,X_416,X_415)
<=> mem3(X_417,X_416,g_s321_316) )
& ! [X_418: $int,X_419: $int,X_420: $int] :
( ( mem3(X_418,X_419,X_415)
& mem3(X_418,X_420,X_415) )
=> ( X_419 = X_420 ) )
& ! [X_421: $int] :
( ( $greatereq(X_421,0)
& $lesseq(X_421,g_s127_122) )
<=> ? [X_422: $int] : mem3(X_421,X_422,X_415) )
& ! [X_423: $int] :
( ? [X_424: $int] : mem3(X_424,X_423,X_415)
=> mem0(X_423,g_s35_34) ) ) ).
tff('Define:seext:16',axiom,
( ! [X_425: $int,X_426: $o] :
( mem2((X_426),X_425,g_s41_41)
=> ( $true
& mem0(X_425,g_s37_36) ) )
& ! [X_427: $o,X_428: $int,X_429: $int] :
( ( mem2((X_427),X_428,g_s41_41)
& mem2((X_427),X_429,g_s41_41) )
=> ( X_428 = X_429 ) ) ) ).
tff('Define:seext:17',axiom,
( ! [X_430: $int,X_431: $o] :
( mem2((X_431),X_430,g_s41_41)
=> ( $true
& mem0(X_430,g_s35_34) ) )
& ! [X_432: $o,X_433: $int,X_434: $int] :
( ( mem2((X_432),X_433,g_s41_41)
& mem2((X_432),X_434,g_s41_41) )
=> ( X_433 = X_434 ) ) ) ).
tff('Define:seext:18',axiom,
( ! [X_435: $int,X_436: $o] :
( mem2((X_436),X_435,g_s41_41)
=> ( $true
& mem0(X_435,g_s33_32) ) )
& ! [X_437: $o,X_438: $int,X_439: $int] :
( ( mem2((X_437),X_438,g_s41_41)
& mem2((X_437),X_439,g_s41_41) )
=> ( X_438 = X_439 ) ) ) ).
tff('Define:seext:2',axiom,
! [X_358: $int] :
( mem0(X_358,g_s308_303)
=> ( $greatereq(X_358,1)
& $lesseq(X_358,g_s126_121) ) ) ).
tff('Define:seext:3',axiom,
! [X_359: $int] :
( mem0(X_359,g_s309_304)
=> ( $greatereq(X_359,1)
& $lesseq(X_359,g_s126_121) ) ) ).
tff('Define:seext:4',axiom,
? [X_360: set_3] :
( ! [X_361: $int,X_362: $int] :
( mem3(X_362,X_361,X_360)
<=> mem3(X_362,X_361,g_s310_305) )
& ! [X_363: $int,X_364: $int,X_365: $int] :
( ( mem3(X_363,X_364,X_360)
& mem3(X_363,X_365,X_360) )
=> ( X_364 = X_365 ) )
& ! [X_366: $int] :
( ( $greatereq(X_366,1)
& $lesseq(X_366,g_s126_121) )
<=> ? [X_367: $int] : mem3(X_366,X_367,X_360) )
& ! [X_368: $int] :
( ? [X_369: $int] : mem3(X_369,X_368,X_360)
=> mem0(X_368,g_s37_36) ) ) ).
tff('Define:seext:5',axiom,
? [X_370: set_3] :
( ! [X_371: $int,X_372: $int] :
( mem3(X_372,X_371,X_370)
<=> mem3(X_372,X_371,g_s311_306) )
& ! [X_373: $int,X_374: $int,X_375: $int] :
( ( mem3(X_373,X_374,X_370)
& mem3(X_373,X_375,X_370) )
=> ( X_374 = X_375 ) )
& ! [X_376: $int] :
( ( $greatereq(X_376,1)
& $lesseq(X_376,g_s126_121) )
<=> ? [X_377: $int] : mem3(X_376,X_377,X_370) )
& ! [X_378: $int] :
( ? [X_379: $int] : mem3(X_379,X_378,X_370)
=> mem0(X_378,g_s37_36) ) ) ).
tff('Define:seext:6',axiom,
? [X_380: set_3] :
( ! [X_381: $int,X_382: $int] :
( mem3(X_382,X_381,X_380)
<=> mem3(X_382,X_381,g_s312_307) )
& ! [X_383: $int,X_384: $int,X_385: $int] :
( ( mem3(X_383,X_384,X_380)
& mem3(X_383,X_385,X_380) )
=> ( X_384 = X_385 ) )
& ! [X_386: $int] :
( ( $greatereq(X_386,1)
& $lesseq(X_386,g_s126_121) )
<=> ? [X_387: $int] : mem3(X_386,X_387,X_380) )
& ! [X_388: $int] :
( ? [X_389: $int] : mem3(X_389,X_388,X_380)
=> mem0(X_388,g_s37_36) ) ) ).
tff('Define:seext:7',axiom,
? [X_390: set_3] :
( ! [X_391: $int,X_392: $int] :
( mem3(X_392,X_391,X_390)
<=> mem3(X_392,X_391,g_s313_308) )
& ! [X_393: $int,X_394: $int,X_395: $int] :
( ( mem3(X_393,X_394,X_390)
& mem3(X_393,X_395,X_390) )
=> ( X_394 = X_395 ) )
& ! [X_396: $int] :
( ( $greatereq(X_396,1)
& $lesseq(X_396,g_s126_121) )
<=> ? [X_397: $int] : mem3(X_396,X_397,X_390) )
& ! [X_398: $int] :
( ? [X_399: $int] : mem3(X_399,X_398,X_390)
=> mem0(X_398,g_s37_36) ) ) ).
tff('Define:seext:8',axiom,
! [X_400: $int] :
( mem0(X_400,g_s314_309)
=> ( $greatereq(X_400,1)
& $lesseq(X_400,g_s126_121) ) ) ).
tff('Define:seext:9',axiom,
! [X_401: $int] :
( mem0(X_401,g_s315_310)
=> ( $greatereq(X_401,1)
& $lesseq(X_401,g_s126_121) ) ) ).
%Global hypotheses
%----Local hypotheses
tff('Local_Hyp:0',hypothesis,
mem0(g_s359_349,g_s37_36) ).
tff('Local_Hyp:1',hypothesis,
mem0(g_s363_350,g_s37_36) ).
tff('Local_Hyp:2',hypothesis,
mem0(g_s364_351,g_s37_36) ).
tff('Local_Hyp:3',hypothesis,
mem0(g_s365_352,g_s37_36) ).
tff('Local_Hyp:4',hypothesis,
mem0(g_s359_1_353,g_s37_36) ).
tff('Local_Hyp:5',hypothesis,
( $greatereq(g_s363_1_354,0)
& $lesseq(g_s363_1_354,$sum(g_s127_122,1)) ) ).
tff('Local_Hyp:6',hypothesis,
$lesseq(0,g_s344_355) ).
tff('Local_Hyp:7',hypothesis,
$lesseq(0,g_s345_356) ).
tff('Local_Hyp:8',hypothesis,
$lesseq(0,g_s346_357) ).
tff('Local_Hyp:9',hypothesis,
mem0(g_s347_358,g_s37_36) ).
tff('Local_Hyp:10',hypothesis,
$lesseq(g_s344_355,$sum(g_s187_182,g_s363_1_354)) ).
tff('Local_Hyp:11',hypothesis,
$lesseq(g_s345_356,$sum(g_s190_185,g_s363_1_354)) ).
tff('Local_Hyp:12',hypothesis,
$lesseq(g_s346_357,$sum(g_s194_189,g_s363_1_354)) ).
tff('Local_Hyp:13',hypothesis,
$lesseq(g_s344_355,$sum(g_s187_182,g_s126_121)) ).
tff('Local_Hyp:14',hypothesis,
$lesseq(g_s345_356,$sum(g_s190_185,g_s126_121)) ).
tff('Local_Hyp:15',hypothesis,
$lesseq(g_s346_357,$sum(g_s194_189,g_s126_121)) ).
tff('Local_Hyp:16',hypothesis,
! [X_603: $int] :
( ? [X_604: set_3] :
( ? [X_605: set_3] :
( ! [X_606: $int,X_607: $int] :
( mem3(X_607,X_606,X_605)
<=> mem3(X_607,X_606,X_604) )
& ! [X_608: $int,X_609: $int,X_610: $int] :
( ( mem3(X_608,X_609,X_605)
& mem3(X_608,X_610,X_605) )
=> ( X_609 = X_610 ) )
& ! [X_611: $int] :
( ( $greatereq(X_611,1)
& $lesseq(X_611,g_s363_1_354)
& mem0(X_611,g_s306_301) )
<=> ? [X_612: $int] : mem3(X_611,X_612,X_605) )
& ! [X_613: $int] :
( ? [X_614: $int] : mem3(X_614,X_613,X_605)
=> ( $greatereq(X_613,1)
& $lesseq(X_613,X_603) ) ) )
& ! [X_615: $int] :
( ( $greatereq(X_615,1)
& $lesseq(X_615,X_603) )
=> ? [X_616: $int] : mem3(X_616,X_615,X_604) )
& ! [X_617: $int,X_618: $int,X_619: $int] :
( ( mem3(X_618,X_617,X_604)
& mem3(X_619,X_617,X_604) )
=> ( X_618 = X_619 ) ) )
=> ( g_s344_355 = $sum(X_603,g_s187_182) ) ) ).
tff('Local_Hyp:17',hypothesis,
! [X_620: $int] :
( ? [X_621: set_3] :
( ? [X_622: set_3] :
( ! [X_623: $int,X_624: $int] :
( mem3(X_624,X_623,X_622)
<=> mem3(X_624,X_623,X_621) )
& ! [X_625: $int,X_626: $int,X_627: $int] :
( ( mem3(X_625,X_626,X_622)
& mem3(X_625,X_627,X_622) )
=> ( X_626 = X_627 ) )
& ! [X_628: $int] :
( ( $greatereq(X_628,1)
& $lesseq(X_628,g_s363_1_354)
& mem0(X_628,g_s306_301)
& mem0(X_628,g_s307_302) )
<=> ? [X_629: $int] : mem3(X_628,X_629,X_622) )
& ! [X_630: $int] :
( ? [X_631: $int] : mem3(X_631,X_630,X_622)
=> ( $greatereq(X_630,1)
& $lesseq(X_630,X_620) ) ) )
& ! [X_632: $int] :
( ( $greatereq(X_632,1)
& $lesseq(X_632,X_620) )
=> ? [X_633: $int] : mem3(X_633,X_632,X_621) )
& ! [X_634: $int,X_635: $int,X_636: $int] :
( ( mem3(X_635,X_634,X_621)
& mem3(X_636,X_634,X_621) )
=> ( X_635 = X_636 ) ) )
=> ( g_s345_356 = $sum(X_620,g_s190_185) ) ) ).
tff('Local_Hyp:18',hypothesis,
! [X_637: $int] :
( ? [X_638: set_3] :
( ? [X_639: set_3] :
( ! [X_640: $int,X_641: $int] :
( mem3(X_641,X_640,X_639)
<=> mem3(X_641,X_640,X_638) )
& ! [X_642: $int,X_643: $int,X_644: $int] :
( ( mem3(X_642,X_643,X_639)
& mem3(X_642,X_644,X_639) )
=> ( X_643 = X_644 ) )
& ! [X_645: $int] :
( ( $greatereq(X_645,1)
& $lesseq(X_645,g_s363_1_354)
& mem0(X_645,g_s306_301)
& mem0(X_645,g_s308_303) )
<=> ? [X_646: $int] : mem3(X_645,X_646,X_639) )
& ! [X_647: $int] :
( ? [X_648: $int] : mem3(X_648,X_647,X_639)
=> ( $greatereq(X_647,1)
& $lesseq(X_647,X_637) ) ) )
& ! [X_649: $int] :
( ( $greatereq(X_649,1)
& $lesseq(X_649,X_637) )
=> ? [X_650: $int] : mem3(X_650,X_649,X_638) )
& ! [X_651: $int,X_652: $int,X_653: $int] :
( ( mem3(X_652,X_651,X_638)
& mem3(X_653,X_651,X_638) )
=> ( X_652 = X_653 ) ) )
=> ( g_s346_357 = $sum(X_637,g_s194_189) ) ) ).
tff('Local_Hyp:19',hypothesis,
$lesseq(g_s363_1_354,g_s127_122) ).
tff('Local_Hyp:20',hypothesis,
mem0(g_s363_1_354,g_s37_36) ).
tff('Local_Hyp:21',hypothesis,
( $greatereq(g_s363_1_354,0)
& $lesseq(g_s363_1_354,g_s127_122) ) ).
tff('Local_Hyp:22',hypothesis,
! [X_654: $o] :
( ( (X_654)
<=> ! [X_655: $int] :
( ( X_655 = $sum(g_s363_1_354,1) )
=> mem0(X_655,g_s306_301) ) )
=> mem2((X_654),g_s38_38,g_s41_41) ) ).
tff('Local_Hyp:23',hypothesis,
! [X_657: $int] :
( ( X_657 = $sum(g_s363_1_354,1) )
=> mem0(X_657,g_s306_301) ) ).
tff('Local_Hyp:24',hypothesis,
! [X_660: $int,X_661: $int] :
( ( ( X_660 = 1 )
& ( X_661 = $sum(g_s344_355,1) ) )
=> mem4(g_s344_355,X_660,X_661,g_s58_58) ) ).
tff('Local_Hyp:25',hypothesis,
! [X_665: $int] :
( ! [X_666: $o] :
( ( (X_666)
<=> ! [X_667: $int] :
( ( X_667 = $sum(g_s363_1_354,1) )
=> mem0(X_667,g_s306_301) ) )
=> mem2((X_666),X_665,g_s41_41) )
=> mem0(X_665,g_s37_36) ) ).
tff('Local_Hyp:40',hypothesis,
~ ! [X_1065: $o] :
( ( (X_1065)
<=> ! [X_1066: $int] :
( ( X_1066 = $sum(g_s363_1_354,1) )
=> mem0(X_1066,g_s307_302) ) )
=> mem2((X_1065),g_s38_38,g_s41_41) ) ).
tff('Local_Hyp:41',hypothesis,
~ ! [X_1068: $int] :
( ( X_1068 = $sum(g_s363_1_354,1) )
=> mem0(X_1068,g_s307_302) ) ).
tff('Local_Hyp:29',hypothesis,
! [X_679: $int] :
( ! [X_680: $o] :
( ( (X_680)
<=> ! [X_681: $int] :
( ( X_681 = $sum(g_s363_1_354,1) )
=> mem0(X_681,g_s307_302) ) )
=> mem2((X_680),X_679,g_s41_41) )
=> mem0(X_679,g_s37_36) ) ).
tff('Local_Hyp:38',hypothesis,
~ ! [X_886: $o] :
( ( (X_886)
<=> ! [X_887: $int] :
( ( X_887 = $sum(g_s363_1_354,1) )
=> mem0(X_887,g_s308_303) ) )
=> mem2((X_886),g_s38_38,g_s41_41) ) ).
tff('Local_Hyp:39',hypothesis,
~ ! [X_889: $int] :
( ( X_889 = $sum(g_s363_1_354,1) )
=> mem0(X_889,g_s308_303) ) ).
tff('Local_Hyp:33',hypothesis,
! [X_693: $int] :
( ! [X_694: $o] :
( ( (X_694)
<=> ! [X_695: $int] :
( ( X_695 = $sum(g_s363_1_354,1) )
=> mem0(X_695,g_s308_303) ) )
=> mem2((X_694),X_693,g_s41_41) )
=> mem0(X_693,g_s37_36) ) ).
tff('Local_Hyp:34',hypothesis,
mem0(g_s366_359,g_s37_36) ).
tff('Local_Hyp:35',hypothesis,
g_s366_359 = g_s39_39 ).
tff('Local_Hyp:36',hypothesis,
! [X_698: $int,X_699: $int] :
( ( ( X_698 = 1 )
& ( X_699 = $sum(g_s363_1_354,1) ) )
=> mem4(g_s363_1_354,X_698,X_699,g_s58_58) ) ).
%----Goal
tff('Goal',conjecture,
! [X_1256: $int,X_1257: $int] :
( ( ! [X_1258: $int] :
( ( X_1258 = 1 )
=> mem4(g_s363_1_354,X_1258,X_1256,g_s58_58) )
& ! [X_1259: $int] :
( ( X_1259 = 1 )
=> mem4(g_s363_1_354,X_1259,X_1257,g_s58_58) ) )
=> ( $greatereq(X_1256,0)
& $lesseq(X_1257,$sum(g_s127_122,1)) ) ) ).
%------------------------------------------------------------------------------