TSTP Solution File: NUM924^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924^1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:14:21 EDT 2024
% Result : Theorem 2.56s 0.72s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 814
% Syntax : Number of formulae : 2821 ( 174 unt; 37 typ; 0 def)
% Number of atoms : 35640 (5240 equ; 0 cnn)
% Maximal formula atoms : 10 ( 12 avg)
% Number of connectives : 10823 (4820 ~;5663 |; 36 &; 0 @)
% ( 296 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 44 ( 43 >; 1 *; 0 +; 0 <<)
% Number of symbols : 298 ( 295 usr; 272 con; 0-6 aty)
% Number of variables : 388 ( 0 ^ 380 !; 2 ?; 388 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
int: $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
int: $tType ).
thf(func_def_1,type,
nat: $tType ).
thf(func_def_2,type,
one_one_int: int ).
thf(func_def_3,type,
one_one_nat: nat ).
thf(func_def_4,type,
plus_plus_int: int > int > int ).
thf(func_def_5,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_6,type,
times_times_int: int > int > int ).
thf(func_def_7,type,
times_times_nat: nat > nat > nat ).
thf(func_def_8,type,
zero_zero_int: int ).
thf(func_def_9,type,
zero_zero_nat: nat ).
thf(func_def_10,type,
zprime: int > $o ).
thf(func_def_11,type,
bit0: int > int ).
thf(func_def_12,type,
bit1: int > int ).
thf(func_def_13,type,
pls: int ).
thf(func_def_14,type,
number_number_of_int: int > int ).
thf(func_def_15,type,
number_number_of_nat: int > nat ).
thf(func_def_16,type,
ord_less_int: int > int > $o ).
thf(func_def_17,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_18,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_19,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_20,type,
power_power_int: int > nat > int ).
thf(func_def_21,type,
power_power_nat: nat > nat > nat ).
thf(func_def_22,type,
twoSqu1013291560sum2sq: int > $o ).
thf(func_def_23,type,
m: int ).
thf(func_def_24,type,
s: int ).
thf(func_def_25,type,
t: int ).
thf(func_def_29,type,
sK0: int ).
thf(func_def_31,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_32,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_33,type,
vAND: $o > $o > $o ).
thf(func_def_34,type,
vOR: $o > $o > $o ).
thf(func_def_35,type,
vIMP: $o > $o > $o ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f13958,plain,
$false,
inference(avatar_sat_refutation,[],[f528,f533,f538,f539,f544,f549,f550,f555,f560,f565,f570,f575,f580,f589,f594,f599,f603,f616,f633,f638,f664,f669,f677,f682,f690,f698,f706,f715,f725,f731,f741,f750,f765,f770,f776,f782,f788,f794,f801,f807,f814,f820,f826,f861,f862,f926,f931,f936,f941,f946,f951,f956,f962,f967,f972,f991,f1001,f1016,f1073,f1074,f1075,f1076,f1098,f1109,f1110,f1111,f1138,f1139,f1171,f1176,f1187,f1197,f1256,f1297,f1298,f1305,f1312,f1322,f1370,f1375,f2668,f2669,f2670,f2671,f2680,f2685,f2743,f2748,f2749,f2750,f2751,f2752,f2753,f2754,f2755,f2756,f2758,f2760,f2771,f2884,f2885,f2890,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2911,f2913,f2924,f2929,f2988,f2989,f2990,f2991,f2992,f2993,f2994,f2995,f2996,f3006,f3011,f3020,f3159,f3160,f3161,f3162,f3163,f3164,f3165,f3166,f3167,f3168,f3169,f3170,f3171,f3172,f3173,f3174,f3175,f3176,f3177,f3178,f3179,f3180,f3181,f3182,f3183,f3184,f3185,f3186,f3187,f3188,f3189,f3190,f3191,f3192,f3193,f3194,f3195,f3196,f3197,f3198,f3201,f3204,f3220,f3230,f3231,f3232,f3233,f3248,f3249,f3250,f3251,f3252,f3253,f3254,f3255,f3256,f3257,f3258,f3259,f3260,f3261,f3262,f3263,f3264,f3265,f3266,f3451,f3452,f3460,f3462,f3463,f3464,f3469,f3470,f3473,f3474,f5771,f5779,f5787,f5795,f5803,f5811,f5819,f5827,f5835,f5843,f5851,f5859,f5867,f5875,f5883,f5889,f5891,f5927,f5936,f5973,f5978,f5981,f5990,f5991,f5992,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6030,f6035,f6040,f6045,f6105,f6111,f6113,f6115,f6121,f6123,f6125,f6127,f6129,f6131,f6137,f6139,f6144,f6146,f6148,f6150,f6153,f6155,f6157,f6158,f6159,f6160,f6195,f6202,f6208,f6209,f6210,f6211,f6216,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6271,f6276,f6282,f6288,f6294,f6300,f6306,f6313,f6320,f6326,f6332,f6338,f6344,f6350,f6356,f6362,f6368,f6373,f6383,f6561,f7290,f7295,f7300,f7309,f7310,f7311,f7312,f7313,f7314,f7315,f7316,f7317,f7318,f7324,f7360,f7365,f7370,f7375,f7380,f7385,f7390,f7395,f7400,f7405,f7410,f7415,f7420,f7425,f7430,f7435,f7440,f7445,f7791,f7797,f7803,f7805,f7807,f7813,f7815,f7817,f7819,f7821,f7823,f7825,f7827,f7833,f7835,f7840,f7842,f7844,f7846,f7849,f7851,f7853,f7883,f7890,f7896,f7897,f7898,f7899,f7904,f7909,f7910,f7911,f7912,f7913,f7914,f7915,f7916,f7917,f7918,f7919,f7920,f7921,f7922,f7923,f7924,f7925,f7926,f7927,f7928,f7929,f7930,f7931,f7932,f7933,f7934,f7935,f7936,f7937,f7938,f7939,f7940,f7941,f7942,f7943,f7944,f7945,f7946,f7947,f7948,f7949,f7950,f7951,f7952,f7953,f7954,f7955,f7956,f7957,f7958,f7959,f7960,f7961,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f7974,f7975,f7976,f7977,f7978,f7979,f7980,f7981,f7982,f7983,f7984,f7985,f7986,f7987,f7988,f7989,f7990,f7991,f7992,f7993,f7994,f7995,f7996,f7997,f7998,f7999,f8000,f8001,f8002,f8003,f8004,f8005,f8006,f8007,f8008,f8009,f8010,f8011,f8012,f8013,f8014,f8015,f8016,f8017,f8018,f8019,f8020,f8021,f8022,f8023,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8037,f8039,f8055,f8091,f8103,f8105,f8106,f8107,f8108,f8109,f8110,f8111,f8112,f8113,f8114,f8115,f8116,f8117,f8118,f8119,f8120,f8121,f8122,f8123,f8124,f8125,f8126,f8127,f8128,f8129,f8130,f8131,f8132,f8133,f8134,f8135,f8136,f8137,f8138,f8139,f8140,f8141,f8142,f8143,f8144,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f8157,f8158,f8159,f8160,f8161,f8162,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f8185,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8198,f8199,f8200,f8201,f8202,f8203,f8204,f8205,f8206,f8207,f8208,f8209,f8210,f8211,f8212,f8213,f8214,f8215,f8216,f8217,f8218,f8219,f8220,f8221,f8222,f8223,f8224,f8225,f8226,f8227,f8228,f8229,f8230,f8231,f8232,f8233,f8234,f8235,f8236,f8238,f8240,f8242,f8288,f8298,f8308,f8318,f8328,f8338,f8348,f8358,f8368,f8378,f8388,f8398,f8408,f8416,f8426,f8436,f8441,f8495,f8500,f8505,f8506,f8511,f8516,f8521,f8526,f8531,f8536,f8541,f8546,f8551,f8556,f8561,f8566,f8573,f8579,f9456,f9457,f9462,f9467,f9468,f9469,f9470,f9471,f9472,f9513,f9518,f9523,f9524,f9529,f9530,f9531,f9532,f9533,f9542,f9547,f9548,f9549,f9550,f9551,f9552,f9553,f9554,f9555,f9556,f9557,f9558,f9559,f9560,f9561,f9562,f9563,f9564,f9565,f9566,f9567,f9568,f9569,f9570,f9571,f9572,f9573,f9574,f9575,f9576,f9813,f9814,f9815,f9816,f9817,f9818,f9819,f9820,f9821,f9851,f9857,f9863,f9868,f9873,f9878,f9883,f9888,f9893,f9898,f9904,f9910,f10297,f10298,f10308,f10309,f10311,f10312,f10313,f10318,f10320,f10321,f10322,f10323,f10324,f10325,f10326,f10327,f10328,f10329,f10330,f10331,f10332,f10333,f10334,f10335,f10336,f10337,f10338,f10339,f10340,f10341,f10342,f10348,f10354,f10362,f10367,f10378,f10379,f11951,f11954,f11958,f11964,f11970,f11973,f11976,f11979,f11983,f11989,f11995,f11996,f11997,f11998,f11999,f12000,f12001,f12002,f12003,f12004,f12005,f12006,f12007,f12008,f12009,f12010,f12011,f12012,f12013,f12014,f12015,f12016,f12017,f12018,f12019,f12020,f12021,f12022,f12023,f12024,f12025,f12026,f12027,f12028,f12029,f12030,f12031,f12032,f12033,f12034,f12035,f12036,f12037,f12038,f12039,f12040,f12041,f12042,f12043,f12044,f12045,f12046,f12047,f12048,f12049,f12050,f12051,f12052,f12053,f12054,f12055,f12056,f12057,f12058,f12059,f12060,f12061,f12062,f12068,f12070,f12072,f12074,f12077,f12078,f12080,f12085,f12086,f12087,f12088,f12091,f12094,f13476,f13481,f13486,f13491,f13496,f13497,f13502,f13503,f13504,f13505,f13506,f13507,f13508,f13513,f13514,f13515,f13520,f13521,f13522,f13523,f13524,f13525,f13687,f13694,f13697,f13700,f13790,f13794,f13797,f13798,f13802,f13805,f13809,f13812,f13853,f13867,f13876,f13881,f13885,f13889,f13892,f13894,f13895,f13899,f13903,f13906,f13907,f13908,f13909,f13910,f13911,f13912,f13913,f13914,f13915,f13916,f13917,f13918,f13919,f13920,f13921,f13922,f13923,f13924,f13925,f13926,f13927,f13928,f13929,f13930,f13931,f13932,f13933,f13934,f13935,f13936,f13937,f13938,f13939,f13940,f13941,f13942,f13943,f13944,f13945,f13946,f13947,f13948,f13949,f13950,f13951,f13952,f13953,f13954,f13955,f13956,f13957]) ).
thf(f13957,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13956,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13955,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13954,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13953,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13952,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13951,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13950,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13949,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13948,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13947,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13946,plain,
( ( zero_zero_int != pls )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,one_one_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13945,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13944,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13943,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13942,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13941,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13940,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13939,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13938,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13937,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13936,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13935,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13934,plain,
( ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13933,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13932,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13931,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13930,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13929,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13928,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13927,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13926,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13925,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13924,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13923,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13922,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13921,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13920,plain,
( ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13919,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13918,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13917,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13916,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13915,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13914,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13913,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13912,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13911,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13910,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13909,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13908,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13907,plain,
( ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f13906,plain,
~ spl1_260,
inference(avatar_contradiction_clause,[],[f13905]) ).
thf(f13905,plain,
( $false
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13904]) ).
thf(f13904,plain,
( ( $true = $false )
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13849,f974]) ).
thf(f974,plain,
! [X0: int] : ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X0) ),
inference(trivial_inequality_removal,[],[f973]) ).
thf(f973,plain,
! [X0: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X0) ) ),
inference(superposition,[],[f467,f110]) ).
thf(f110,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f467,plain,
! [X1: int] : ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X1) ),
inference(equality_resolution,[],[f399]) ).
thf(f399,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f312,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) )
& ( ( ( X0 != X1 )
& ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ) ),
inference(flattening,[],[f311]) ).
thf(f311,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) )
& ( ( ( X0 != X1 )
& ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ) ),
inference(nnf_transformation,[],[f168]) ).
thf(f168,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
<=> ( ( X0 != X1 )
& ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ) ),
inference(fool_elimination,[],[f167]) ).
thf(f167,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1)
<=> ( ( X0 != X1 )
& vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(rectify,[],[f40]) ).
thf(f40,axiom,
! [X14: int,X12: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X14),X12)
<=> ( ( X12 != X14 )
& vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X14),X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_zless__le) ).
thf(f13849,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),one_one_int) )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13843]) ).
thf(f13843,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),one_one_int) )
| ~ spl1_260 ),
inference(superposition,[],[f647,f13789]) ).
thf(f13789,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_260 ),
inference(avatar_component_clause,[],[f13787]) ).
thf(f13787,plain,
( spl1_260
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_260])]) ).
thf(f647,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(forward_demodulation,[],[f646,f336]) ).
thf(f336,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(cnf_transformation,[],[f238]) ).
thf(f238,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(rectify,[],[f25]) ).
thf(f25,axiom,
! [X13: int] : ( vAPP(int,int,number_number_of_int,X13) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_number__of__is__id) ).
thf(f646,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(forward_demodulation,[],[f645,f336]) ).
thf(f645,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(forward_demodulation,[],[f644,f336]) ).
thf(f644,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),X1) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(forward_demodulation,[],[f419,f336]) ).
thf(f419,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(cnf_transformation,[],[f316]) ).
thf(f316,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) )
& ( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ) ),
inference(nnf_transformation,[],[f262]) ).
thf(f262,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
<=> ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(flattening,[],[f196]) ).
thf(f196,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
<=> ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(fool_elimination,[],[f195]) ).
thf(f195,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1))
<=> ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ),
inference(rectify,[],[f54]) ).
thf(f54,axiom,
! [X41: int,X42: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X41)),vAPP(int,int,number_number_of_int,X42))
<=> ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X42)),vAPP(int,int,number_number_of_int,X41)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_le__number__of__eq__not__less) ).
thf(f13903,plain,
( ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13902]) ).
thf(f13902,plain,
( $false
| ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13901]) ).
thf(f13901,plain,
( ( $true = $false )
| ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13900,f1369]) ).
thf(f1369,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_71 ),
inference(avatar_component_clause,[],[f1367]) ).
thf(f1367,plain,
( spl1_71
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
thf(f13900,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| spl1_88
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13854,f3019]) ).
thf(f3019,plain,
( ( zero_zero_int != one_one_int )
| spl1_88 ),
inference(avatar_component_clause,[],[f3017]) ).
thf(f3017,plain,
( spl1_88
<=> ( zero_zero_int = one_one_int ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).
thf(f13854,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13837]) ).
thf(f13837,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(superposition,[],[f5218,f13789]) ).
thf(f5218,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 ) ),
inference(trivial_inequality_removal,[],[f5149]) ).
thf(f5149,plain,
! [X0: int] :
( ( $true = $false )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) ) ),
inference(superposition,[],[f5046,f375]) ).
thf(f375,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(cnf_transformation,[],[f154]) ).
thf(f154,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(fool_elimination,[],[f153]) ).
thf(f153,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0)
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ),
inference(rectify,[],[f27]) ).
thf(f27,axiom,
! [X14: int,X12: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X12),X14)
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X14),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_zle__linear) ).
thf(f5046,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f4958]) ).
thf(f4958,plain,
! [X0: int] :
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(superposition,[],[f3815,f647]) ).
thf(f3815,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( zero_zero_int = X0 ) ),
inference(trivial_inequality_removal,[],[f3778]) ).
thf(f3778,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f3644,f1671]) ).
thf(f1671,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1614]) ).
thf(f1614,plain,
! [X0: int] :
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) ) ),
inference(superposition,[],[f1429,f647]) ).
thf(f1429,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1428]) ).
thf(f1428,plain,
! [X0: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f1266,f110]) ).
thf(f1266,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1259]) ).
thf(f1259,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f651,f522]) ).
thf(f522,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f349,plain,
! [X0: int] : ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ),
inference(cnf_transformation,[],[f122]) ).
thf(f122,plain,
! [X0: int] : ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ),
inference(fool_elimination,[],[f121]) ).
thf(f121,plain,
! [X0: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0)
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ),
inference(rectify,[],[f82]) ).
thf(f82,axiom,
! [X14: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X14)
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_int__one__le__iff__zero__less) ).
thf(f651,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true ) ),
inference(forward_demodulation,[],[f650,f336]) ).
thf(f650,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),X1) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true ) ),
inference(forward_demodulation,[],[f649,f336]) ).
thf(f649,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(forward_demodulation,[],[f648,f336]) ).
thf(f648,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(forward_demodulation,[],[f418,f336]) ).
thf(f418,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(cnf_transformation,[],[f316]) ).
thf(f3644,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( X0 = X1 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f3643]) ).
thf(f3643,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(superposition,[],[f381,f110]) ).
thf(f381,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(cnf_transformation,[],[f289]) ).
thf(f289,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(flattening,[],[f288]) ).
thf(f288,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(ennf_transformation,[],[f166]) ).
thf(f166,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
=> ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f165]) ).
thf(f165,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1)
=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0)
=> ( X0 = X1 ) ) ),
inference(rectify,[],[f33]) ).
thf(f33,axiom,
! [X14: int,X12: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X14),X12)
=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X12),X14)
=> ( X12 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_zle__antisym) ).
thf(f13899,plain,
( ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13898]) ).
thf(f13898,plain,
( $false
| ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13897]) ).
thf(f13897,plain,
( ( $true = $false )
| ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13896,f1321]) ).
thf(f1321,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ~ spl1_70 ),
inference(avatar_component_clause,[],[f1319]) ).
thf(f1319,plain,
( spl1_70
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
thf(f13896,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| spl1_88
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13855,f3019]) ).
thf(f13855,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13836]) ).
thf(f13836,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(superposition,[],[f5216,f13789]) ).
thf(f5216,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 ) ),
inference(trivial_inequality_removal,[],[f5151]) ).
thf(f5151,plain,
! [X0: int] :
( ( $true = $false )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) ) ),
inference(superposition,[],[f5046,f647]) ).
thf(f13895,plain,
( spl1_261
| ~ spl1_42
| ~ spl1_260 ),
inference(avatar_split_clause,[],[f13856,f13787,f858,f13878]) ).
thf(f13878,plain,
( spl1_261
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_261])]) ).
thf(f858,plain,
( spl1_42
<=> ( zero_zero_int = pls ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
thf(f13856,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,one_one_int) )
| ~ spl1_42
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13832]) ).
thf(f13832,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,one_one_int) )
| ~ spl1_42
| ~ spl1_260 ),
inference(superposition,[],[f1708,f13789]) ).
thf(f1708,plain,
( ! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1677]) ).
thf(f1677,plain,
( ! [X0: int] :
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f1673,f647]) ).
thf(f1673,plain,
( ! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1612]) ).
thf(f1612,plain,
( ! [X0: int] :
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f1429,f1131]) ).
thf(f1131,plain,
( ! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1116]) ).
thf(f1116,plain,
( ! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f647,f1019]) ).
thf(f1019,plain,
( ! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1018]) ).
thf(f1018,plain,
( ! [X0: int] :
( ( $true != $true )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) ) )
| ~ spl1_42 ),
inference(superposition,[],[f865,f110]) ).
thf(f865,plain,
( ! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f344,f860]) ).
thf(f860,plain,
( ( zero_zero_int = pls )
| ~ spl1_42 ),
inference(avatar_component_clause,[],[f858]) ).
thf(f344,plain,
! [X0: int] :
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) ) ),
inference(cnf_transformation,[],[f298]) ).
thf(f298,plain,
! [X0: int] :
( ( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) ) )
& ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,X0) ) ) ),
inference(nnf_transformation,[],[f118]) ).
thf(f118,plain,
! [X0: int] :
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) ) ),
inference(fool_elimination,[],[f117]) ).
thf(f117,plain,
! [X0: int] :
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) ),
inference(rectify,[],[f43]) ).
thf(f43,axiom,
! [X15: int] :
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X15) )
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X15),pls) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_eq__0__number__of) ).
thf(f13894,plain,
( spl1_83
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13893]) ).
thf(f13893,plain,
( $false
| spl1_83
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13857,f2923]) ).
thf(f2923,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| spl1_83 ),
inference(avatar_component_clause,[],[f2921]) ).
thf(f2921,plain,
( spl1_83
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_83])]) ).
thf(f13857,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13831]) ).
thf(f13831,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_260 ),
inference(superposition,[],[f522,f13789]) ).
thf(f13892,plain,
~ spl1_260,
inference(avatar_contradiction_clause,[],[f13891]) ).
thf(f13891,plain,
( $false
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13890]) ).
thf(f13890,plain,
( ( $true = $false )
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13863,f974]) ).
thf(f13863,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),one_one_int) )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13823]) ).
thf(f13823,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),one_one_int) )
| ~ spl1_260 ),
inference(superposition,[],[f13789,f647]) ).
thf(f13889,plain,
( ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13888]) ).
thf(f13888,plain,
( $false
| ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13887]) ).
thf(f13887,plain,
( ( $true = $false )
| ~ spl1_71
| spl1_88
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13886,f1369]) ).
thf(f13886,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| spl1_88
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13871,f3019]) ).
thf(f13871,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13816]) ).
thf(f13816,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(superposition,[],[f13789,f5218]) ).
thf(f13885,plain,
( ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13884]) ).
thf(f13884,plain,
( $false
| ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13883]) ).
thf(f13883,plain,
( ( $true = $false )
| ~ spl1_70
| spl1_88
| ~ spl1_260 ),
inference(forward_demodulation,[],[f13882,f1321]) ).
thf(f13882,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| spl1_88
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13872,f3019]) ).
thf(f13872,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13815]) ).
thf(f13815,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( zero_zero_int = one_one_int )
| ~ spl1_260 ),
inference(superposition,[],[f13789,f5216]) ).
thf(f13881,plain,
( spl1_261
| ~ spl1_42
| ~ spl1_260 ),
inference(avatar_split_clause,[],[f13873,f13787,f858,f13878]) ).
thf(f13873,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,one_one_int) )
| ~ spl1_42
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13814]) ).
thf(f13814,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,one_one_int) )
| ~ spl1_42
| ~ spl1_260 ),
inference(superposition,[],[f13789,f1708]) ).
thf(f13876,plain,
( spl1_83
| ~ spl1_260 ),
inference(avatar_contradiction_clause,[],[f13875]) ).
thf(f13875,plain,
( $false
| spl1_83
| ~ spl1_260 ),
inference(subsumption_resolution,[],[f13874,f2923]) ).
thf(f13874,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13813]) ).
thf(f13813,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_260 ),
inference(superposition,[],[f13789,f522]) ).
thf(f13867,plain,
~ spl1_260,
inference(avatar_contradiction_clause,[],[f13866]) ).
thf(f13866,plain,
( $false
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13820]) ).
thf(f13820,plain,
( ( $true = $false )
| ~ spl1_260 ),
inference(superposition,[],[f13789,f363]) ).
thf(f363,plain,
! [X0: int] : ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X0) ),
inference(cnf_transformation,[],[f148]) ).
thf(f148,plain,
! [X0: int] : ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X0) ),
inference(fool_elimination,[],[f147]) ).
thf(f147,plain,
! [X0: int] : vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X0),
inference(rectify,[],[f24]) ).
thf(f24,axiom,
! [X12: int] : vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X12),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zle__refl) ).
thf(f13853,plain,
~ spl1_260,
inference(avatar_contradiction_clause,[],[f13852]) ).
thf(f13852,plain,
( $false
| ~ spl1_260 ),
inference(trivial_inequality_removal,[],[f13838]) ).
thf(f13838,plain,
( ( $true = $false )
| ~ spl1_260 ),
inference(superposition,[],[f363,f13789]) ).
thf(f13812,plain,
( spl1_260
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(avatar_split_clause,[],[f13811,f6199,f5920,f858,f13787]) ).
thf(f5920,plain,
( spl1_110
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_110])]) ).
thf(f6199,plain,
( spl1_128
<=> ( one_one_int = vAPP(int,int,bit1,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_128])]) ).
thf(f13811,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(subsumption_resolution,[],[f13810,f5921]) ).
thf(f5921,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_110 ),
inference(avatar_component_clause,[],[f5920]) ).
thf(f13810,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13757,f6200]) ).
thf(f6200,plain,
( ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| spl1_128 ),
inference(avatar_component_clause,[],[f6199]) ).
thf(f13757,plain,
( ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13734]) ).
thf(f13734,plain,
( ( $true = $false )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(superposition,[],[f3813,f891]) ).
thf(f891,plain,
( ! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f605,f860]) ).
thf(f605,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ) ),
inference(forward_demodulation,[],[f517,f336]) ).
thf(f517,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ) ),
inference(binary_proxy_clausification,[],[f352]) ).
thf(f352,plain,
! [X0: int] : ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ),
inference(cnf_transformation,[],[f128]) ).
thf(f128,plain,
! [X0: int] : ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ),
inference(fool_elimination,[],[f127]) ).
thf(f127,plain,
! [X0: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X0))
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ),
inference(rectify,[],[f65]) ).
thf(f65,axiom,
! [X46: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X46))
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_le__special_I2_J) ).
thf(f3813,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( one_one_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(trivial_inequality_removal,[],[f3785]) ).
thf(f3785,plain,
! [X0: int] :
( ( $true != $true )
| ( one_one_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f3644,f522]) ).
thf(f13809,plain,
( spl1_260
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(avatar_split_clause,[],[f13808,f6199,f1013,f928,f858,f13787]) ).
thf(f928,plain,
( spl1_44
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
thf(f1013,plain,
( spl1_56
<=> ( one_one_nat = zero_zero_nat ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
thf(f13808,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(subsumption_resolution,[],[f13807,f1015]) ).
thf(f1015,plain,
( ( one_one_nat != zero_zero_nat )
| spl1_56 ),
inference(avatar_component_clause,[],[f1013]) ).
thf(f13807,plain,
( ( one_one_nat = zero_zero_nat )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_128 ),
inference(forward_demodulation,[],[f13806,f930]) ).
thf(f930,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f928]) ).
thf(f13806,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13758,f6200]) ).
thf(f13758,plain,
( ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13733]) ).
thf(f13733,plain,
( ( $true != $true )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(superposition,[],[f3656,f891]) ).
thf(f3656,plain,
( ! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( one_one_int = X0 )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f3625]) ).
thf(f3625,plain,
( ! [X0: int] :
( ( $true != $true )
| ( one_one_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f381,f1708]) ).
thf(f13805,plain,
( spl1_260
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(avatar_split_clause,[],[f13804,f6199,f5920,f858,f13787]) ).
thf(f13804,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(subsumption_resolution,[],[f13803,f5921]) ).
thf(f13803,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13759,f6200]) ).
thf(f13759,plain,
( ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13732]) ).
thf(f13732,plain,
( ( $true != $true )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(superposition,[],[f3655,f891]) ).
thf(f3655,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( one_one_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(trivial_inequality_removal,[],[f3627]) ).
thf(f3627,plain,
! [X0: int] :
( ( $true != $true )
| ( one_one_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f381,f522]) ).
thf(f13802,plain,
( spl1_260
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(avatar_split_clause,[],[f13801,f6199,f1013,f928,f858,f13787]) ).
thf(f13801,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(subsumption_resolution,[],[f13800,f1015]) ).
thf(f13800,plain,
( ( one_one_nat = zero_zero_nat )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_128 ),
inference(forward_demodulation,[],[f13799,f930]) ).
thf(f13799,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13760,f6200]) ).
thf(f13760,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13731]) ).
thf(f13731,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42 ),
inference(superposition,[],[f3539,f891]) ).
thf(f3539,plain,
( ! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( one_one_int = X0 ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f3481]) ).
thf(f3481,plain,
( ! [X0: int] :
( ( $true = $false )
| ( one_one_int = X0 )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) )
| ~ spl1_42 ),
inference(superposition,[],[f2656,f1360]) ).
thf(f1360,plain,
! [X0: int,X1: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f1359]) ).
thf(f1359,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(superposition,[],[f1157,f110]) ).
thf(f1157,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f1156]) ).
thf(f1156,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(superposition,[],[f651,f110]) ).
thf(f2656,plain,
( ! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f2482]) ).
thf(f2482,plain,
( ! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f374,f1673]) ).
thf(f374,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f152]) ).
thf(f152,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $true )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true ) ),
inference(fool_elimination,[],[f151]) ).
thf(f151,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0)
| ( X0 = X1 )
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ),
inference(rectify,[],[f97]) ).
thf(f97,axiom,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0)
| ( X0 = X1 )
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_zless__linear) ).
thf(f13798,plain,
( spl1_260
| ~ spl1_42
| ~ spl1_151 ),
inference(avatar_split_clause,[],[f13761,f6558,f858,f13787]) ).
thf(f6558,plain,
( spl1_151
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_151])]) ).
thf(f13761,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_151 ),
inference(trivial_inequality_removal,[],[f13730]) ).
thf(f13730,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_151 ),
inference(superposition,[],[f6560,f891]) ).
thf(f6560,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_151 ),
inference(avatar_component_clause,[],[f6558]) ).
thf(f13797,plain,
( spl1_260
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(avatar_split_clause,[],[f13796,f6199,f5920,f858,f13787]) ).
thf(f13796,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| spl1_110
| spl1_128 ),
inference(subsumption_resolution,[],[f13795,f5921]) ).
thf(f13795,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13777,f6200]) ).
thf(f13777,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13714]) ).
thf(f13714,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(superposition,[],[f891,f3813]) ).
thf(f13794,plain,
( spl1_260
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(avatar_split_clause,[],[f13793,f6199,f1013,f928,f858,f13787]) ).
thf(f13793,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_56
| spl1_128 ),
inference(subsumption_resolution,[],[f13792,f1015]) ).
thf(f13792,plain,
( ( one_one_nat = zero_zero_nat )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_44
| spl1_128 ),
inference(forward_demodulation,[],[f13791,f930]) ).
thf(f13791,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f13778,f6200]) ).
thf(f13778,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f13713]) ).
thf(f13713,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f891,f3539]) ).
thf(f13790,plain,
( spl1_260
| ~ spl1_42
| ~ spl1_151 ),
inference(avatar_split_clause,[],[f13783,f6558,f858,f13787]) ).
thf(f13783,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_151 ),
inference(trivial_inequality_removal,[],[f13708]) ).
thf(f13708,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_151 ),
inference(superposition,[],[f891,f6560]) ).
thf(f13700,plain,
( spl1_259
| ~ spl1_42
| ~ spl1_112
| ~ spl1_152 ),
inference(avatar_split_clause,[],[f13699,f7287,f5929,f858,f13691]) ).
thf(f13691,plain,
( spl1_259
<=> ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_259])]) ).
thf(f5929,plain,
( spl1_112
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_112])]) ).
thf(f7287,plain,
( spl1_152
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_152])]) ).
thf(f13699,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_112
| ~ spl1_152 ),
inference(trivial_inequality_removal,[],[f13698]) ).
thf(f13698,plain,
( ( $true = $false )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_112
| ~ spl1_152 ),
inference(forward_demodulation,[],[f13674,f5931]) ).
thf(f5931,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_112 ),
inference(avatar_component_clause,[],[f5929]) ).
thf(f13674,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_152 ),
inference(superposition,[],[f883,f7289]) ).
thf(f7289,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_152 ),
inference(avatar_component_clause,[],[f7287]) ).
thf(f883,plain,
( ! [X0: int] :
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f521,f860]) ).
thf(f521,plain,
! [X0: int] :
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X0) ) ),
inference(binary_proxy_clausification,[],[f350]) ).
thf(f350,plain,
! [X0: int] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X0) ),
inference(cnf_transformation,[],[f124]) ).
thf(f124,plain,
! [X0: int] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X0) ),
inference(fool_elimination,[],[f123]) ).
thf(f123,plain,
! [X0: int] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0))
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X0) ),
inference(rectify,[],[f53]) ).
thf(f53,axiom,
! [X15: int] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X15))
<=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_less__0__number__of) ).
thf(f13697,plain,
( spl1_259
| ~ spl1_42
| ~ spl1_59
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f13696,f1184,f1106,f858,f13691]) ).
thf(f1106,plain,
( spl1_59
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
thf(f1184,plain,
( spl1_63
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
thf(f13696,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_59
| ~ spl1_63 ),
inference(trivial_inequality_removal,[],[f13695]) ).
thf(f13695,plain,
( ( $true = $false )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_59
| ~ spl1_63 ),
inference(forward_demodulation,[],[f13676,f1186]) ).
thf(f1186,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ~ spl1_63 ),
inference(avatar_component_clause,[],[f1184]) ).
thf(f13676,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ~ spl1_42
| ~ spl1_59 ),
inference(superposition,[],[f883,f1108]) ).
thf(f1108,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_59 ),
inference(avatar_component_clause,[],[f1106]) ).
thf(f13694,plain,
( spl1_259
| ~ spl1_42
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f13689,f923,f858,f13691]) ).
thf(f923,plain,
( spl1_43
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
thf(f13689,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_43 ),
inference(trivial_inequality_removal,[],[f13688]) ).
thf(f13688,plain,
( ( $true = $false )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_42
| ~ spl1_43 ),
inference(forward_demodulation,[],[f13675,f974]) ).
thf(f13675,plain,
( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_43 ),
inference(superposition,[],[f883,f925]) ).
thf(f925,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_43 ),
inference(avatar_component_clause,[],[f923]) ).
thf(f13687,plain,
( ~ spl1_42
| ~ spl1_112
| ~ spl1_152
| ~ spl1_186 ),
inference(avatar_contradiction_clause,[],[f13686]) ).
thf(f13686,plain,
( $false
| ~ spl1_42
| ~ spl1_112
| ~ spl1_152
| ~ spl1_186 ),
inference(trivial_inequality_removal,[],[f13685]) ).
thf(f13685,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_112
| ~ spl1_152
| ~ spl1_186 ),
inference(forward_demodulation,[],[f13684,f5931]) ).
thf(f13684,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_152
| ~ spl1_186 ),
inference(trivial_inequality_removal,[],[f13683]) ).
thf(f13683,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_152
| ~ spl1_186 ),
inference(forward_demodulation,[],[f13674,f8090]) ).
thf(f8090,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_186 ),
inference(avatar_component_clause,[],[f8088]) ).
thf(f8088,plain,
( spl1_186
<=> ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_186])]) ).
thf(f13525,plain,
( spl1_255
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13450,f8325,f13493]) ).
thf(f13493,plain,
( spl1_255
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_255])]) ).
thf(f8325,plain,
( spl1_191
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_191])]) ).
thf(f13450,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13449]) ).
thf(f13449,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1488,f8327]) ).
thf(f8327,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) )
| ~ spl1_191 ),
inference(avatar_component_clause,[],[f8325]) ).
thf(f1488,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $false )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f1487]) ).
thf(f1487,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $false )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(superposition,[],[f1343,f110]) ).
thf(f1343,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f1336]) ).
thf(f1336,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(superposition,[],[f651,f1091]) ).
thf(f1091,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f1090,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(superposition,[],[f398,f110]) ).
thf(f398,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f13524,plain,
( spl1_255
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13451,f8325,f13493]) ).
thf(f13451,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13448]) ).
thf(f13448,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1488,f8327]) ).
thf(f13523,plain,
( spl1_256
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13452,f8325,f13499]) ).
thf(f13499,plain,
( spl1_256
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_256])]) ).
thf(f13452,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13447]) ).
thf(f13447,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1360,f8327]) ).
thf(f13522,plain,
( spl1_255
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13453,f8325,f13493]) ).
thf(f13453,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13446]) ).
thf(f13446,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1343,f8327]) ).
thf(f13521,plain,
( spl1_256
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13454,f8325,f13499]) ).
thf(f13454,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13445]) ).
thf(f13445,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1157,f8327]) ).
thf(f13520,plain,
( spl1_258
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13455,f8325,f13517]) ).
thf(f13517,plain,
( spl1_258
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_258])]) ).
thf(f13455,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13444]) ).
thf(f13444,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) )
| ~ spl1_191 ),
inference(superposition,[],[f398,f8327]) ).
thf(f13515,plain,
( spl1_252
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13456,f8325,f13478]) ).
thf(f13478,plain,
( spl1_252
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_252])]) ).
thf(f13456,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13443]) ).
thf(f13443,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f2218,f8327]) ).
thf(f2218,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) ) ),
inference(trivial_inequality_removal,[],[f2197]) ).
thf(f2197,plain,
! [X0: int] :
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) ) ),
inference(superposition,[],[f1811,f1360]) ).
thf(f1811,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1776]) ).
thf(f1776,plain,
! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(superposition,[],[f1467,f1360]) ).
thf(f1467,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1450]) ).
thf(f1450,plain,
! [X0: int] :
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f398,f1290]) ).
thf(f1290,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1271]) ).
thf(f1271,plain,
! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f523,f647]) ).
thf(f523,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f13514,plain,
( spl1_252
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13457,f8325,f13478]) ).
thf(f13457,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13442]) ).
thf(f13442,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f2213,f8327]) ).
thf(f2213,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f2202]) ).
thf(f2202,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(superposition,[],[f651,f1811]) ).
thf(f13513,plain,
( spl1_257
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13458,f8325,f13510]) ).
thf(f13510,plain,
( spl1_257
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_257])]) ).
thf(f13458,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13441]) ).
thf(f13441,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(superposition,[],[f2159,f8327]) ).
thf(f2159,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f2148]) ).
thf(f2148,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(superposition,[],[f651,f1794]) ).
thf(f1794,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1793]) ).
thf(f1793,plain,
! [X0: int] :
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f398,f1467]) ).
thf(f13508,plain,
( spl1_253
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13459,f8325,f13483]) ).
thf(f13483,plain,
( spl1_253
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_253])]) ).
thf(f13459,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13440]) ).
thf(f13440,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f2003,f8327]) ).
thf(f2003,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1994]) ).
thf(f1994,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(superposition,[],[f651,f1511]) ).
thf(f1511,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1502]) ).
thf(f1502,plain,
! [X0: int] :
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(superposition,[],[f398,f1345]) ).
thf(f1345,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1334]) ).
thf(f1334,plain,
! [X0: int] :
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f1091,f523]) ).
thf(f13507,plain,
( spl1_254
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13460,f8325,f13488]) ).
thf(f13488,plain,
( spl1_254
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_254])]) ).
thf(f13460,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13439]) ).
thf(f13439,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(superposition,[],[f1808,f8327]) ).
thf(f1808,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1779]) ).
thf(f1779,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f651,f1467]) ).
thf(f13506,plain,
( spl1_253
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13461,f8325,f13483]) ).
thf(f13461,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13438]) ).
thf(f13438,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f1513,f8327]) ).
thf(f1513,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f1500]) ).
thf(f1500,plain,
! [X0: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(superposition,[],[f1343,f1345]) ).
thf(f13505,plain,
( spl1_254
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13462,f8325,f13488]) ).
thf(f13462,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13437]) ).
thf(f13437,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(superposition,[],[f1493,f8327]) ).
thf(f1493,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f1480]) ).
thf(f1480,plain,
! [X0: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f1343,f1290]) ).
thf(f13504,plain,
( spl1_251
| ~ spl1_42
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13463,f8325,f858,f13473]) ).
thf(f13473,plain,
( spl1_251
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_251])]) ).
thf(f13463,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13436]) ).
thf(f13436,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(superposition,[],[f1223,f8327]) ).
thf(f1223,plain,
( ! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1222]) ).
thf(f1222,plain,
( ! [X0: int] :
( ( $true != $true )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) ) )
| ~ spl1_42 ),
inference(superposition,[],[f1161,f110]) ).
thf(f1161,plain,
( ! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1152]) ).
thf(f1152,plain,
( ! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f651,f1068]) ).
thf(f1068,plain,
( ! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f1045]) ).
thf(f1045,plain,
( ! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,X0) ) )
| ~ spl1_42 ),
inference(superposition,[],[f375,f1019]) ).
thf(f13503,plain,
( spl1_251
| ~ spl1_42
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13464,f8325,f858,f13473]) ).
thf(f13464,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13435]) ).
thf(f13435,plain,
( ( $true != $true )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(superposition,[],[f1161,f8327]) ).
thf(f13502,plain,
( spl1_256
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13465,f8325,f13499]) ).
thf(f13465,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13434]) ).
thf(f13434,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1360]) ).
thf(f13497,plain,
( spl1_255
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13466,f8325,f13493]) ).
thf(f13466,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13433]) ).
thf(f13433,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1488]) ).
thf(f13496,plain,
( spl1_255
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13467,f8325,f13493]) ).
thf(f13467,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13432]) ).
thf(f13432,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1488]) ).
thf(f13491,plain,
( spl1_254
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13468,f8325,f13488]) ).
thf(f13468,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13431]) ).
thf(f13431,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),one_one_int) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1493]) ).
thf(f13486,plain,
( spl1_253
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13469,f8325,f13483]) ).
thf(f13469,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13430]) ).
thf(f13430,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1513]) ).
thf(f13481,plain,
( spl1_252
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13470,f8325,f13478]) ).
thf(f13470,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13429]) ).
thf(f13429,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_191 ),
inference(superposition,[],[f8327,f2218]) ).
thf(f13476,plain,
( spl1_251
| ~ spl1_42
| ~ spl1_191 ),
inference(avatar_split_clause,[],[f13471,f8325,f858,f13473]) ).
thf(f13471,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(trivial_inequality_removal,[],[f13428]) ).
thf(f13428,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_191 ),
inference(superposition,[],[f8327,f1223]) ).
thf(f12094,plain,
( spl1_127
| ~ spl1_42
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f12093,f1367,f858,f6192]) ).
thf(f6192,plain,
( spl1_127
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_127])]) ).
thf(f12093,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42
| ~ spl1_71 ),
inference(trivial_inequality_removal,[],[f12092]) ).
thf(f12092,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42
| ~ spl1_71 ),
inference(forward_demodulation,[],[f11938,f1369]) ).
thf(f11938,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11889]) ).
thf(f11889,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42 ),
inference(superposition,[],[f890,f1671]) ).
thf(f890,plain,
( ! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f604,f860]) ).
thf(f604,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ) ),
inference(forward_demodulation,[],[f516,f336]) ).
thf(f516,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,pls)),X0) ) ),
inference(binary_proxy_clausification,[],[f352]) ).
thf(f12091,plain,
( spl1_127
| ~ spl1_42
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f12090,f1367,f858,f6192]) ).
thf(f12090,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42
| ~ spl1_71 ),
inference(trivial_inequality_removal,[],[f12089]) ).
thf(f12089,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_42
| ~ spl1_71 ),
inference(forward_demodulation,[],[f11922,f1369]) ).
thf(f11922,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11912]) ).
thf(f11912,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f1671,f890]) ).
thf(f12088,plain,
( spl1_129
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f11946,f858,f6205]) ).
thf(f6205,plain,
( spl1_129
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_129])]) ).
thf(f11946,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11881]) ).
thf(f11881,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(superposition,[],[f890,f363]) ).
thf(f12087,plain,
( spl1_129
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(avatar_split_clause,[],[f11967,f5983,f1367,f858,f6205]) ).
thf(f5983,plain,
( spl1_116
<=> ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_116])]) ).
thf(f11967,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(trivial_inequality_removal,[],[f11966]) ).
thf(f11966,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(forward_demodulation,[],[f11965,f1369]) ).
thf(f11965,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| spl1_116 ),
inference(subsumption_resolution,[],[f11936,f5984]) ).
thf(f5984,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| spl1_116 ),
inference(avatar_component_clause,[],[f5983]) ).
thf(f11936,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11891]) ).
thf(f11891,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f890,f5218]) ).
thf(f12086,plain,
( spl1_129
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f11934,f858,f6205]) ).
thf(f11934,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11893]) ).
thf(f11893,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(superposition,[],[f363,f890]) ).
thf(f12085,plain,
( spl1_129
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(avatar_split_clause,[],[f12084,f5983,f1367,f858,f6205]) ).
thf(f12084,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(trivial_inequality_removal,[],[f12083]) ).
thf(f12083,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_116 ),
inference(forward_demodulation,[],[f11990,f1369]) ).
thf(f11990,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_116 ),
inference(subsumption_resolution,[],[f11920,f5984]) ).
thf(f11920,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11918]) ).
thf(f11918,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f5218,f890]) ).
thf(f12080,plain,
( spl1_66
| ~ spl1_45
| ~ spl1_152 ),
inference(avatar_split_clause,[],[f12079,f7287,f933,f1253]) ).
thf(f1253,plain,
( spl1_66
<=> ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
thf(f933,plain,
( spl1_45
<=> ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
thf(f12079,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_45
| ~ spl1_152 ),
inference(forward_demodulation,[],[f935,f7289]) ).
thf(f935,plain,
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_45 ),
inference(avatar_component_clause,[],[f933]) ).
thf(f12078,plain,
( spl1_150
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(avatar_split_clause,[],[f11961,f6199,f1367,f858,f6380]) ).
thf(f6380,plain,
( spl1_150
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_150])]) ).
thf(f11961,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(trivial_inequality_removal,[],[f11960]) ).
thf(f11960,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(forward_demodulation,[],[f11959,f1369]) ).
thf(f11959,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f11937,f6200]) ).
thf(f11937,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11890]) ).
thf(f11890,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f890,f4445]) ).
thf(f4445,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 ) ),
inference(trivial_inequality_removal,[],[f4409]) ).
thf(f4409,plain,
! [X0: int] :
( ( $true = $false )
| ( one_one_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) ) ),
inference(superposition,[],[f2655,f647]) ).
thf(f2655,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( one_one_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f2483]) ).
thf(f2483,plain,
! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) ),
inference(superposition,[],[f374,f1429]) ).
thf(f12077,plain,
( spl1_150
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(avatar_split_clause,[],[f12076,f6199,f1367,f858,f6380]) ).
thf(f12076,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(trivial_inequality_removal,[],[f12075]) ).
thf(f12075,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_71
| spl1_128 ),
inference(forward_demodulation,[],[f11984,f1369]) ).
thf(f11984,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_128 ),
inference(subsumption_resolution,[],[f11921,f6200]) ).
thf(f11921,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(trivial_inequality_removal,[],[f11917]) ).
thf(f11917,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f4445,f890]) ).
thf(f12074,plain,
( spl1_250
| ~ spl1_202
| ~ spl1_219 ),
inference(avatar_split_clause,[],[f12073,f8570,f8433,f12065]) ).
thf(f12065,plain,
( spl1_250
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_250])]) ).
thf(f8433,plain,
( spl1_202
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_202])]) ).
thf(f8570,plain,
( spl1_219
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_219])]) ).
thf(f12073,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_202
| ~ spl1_219 ),
inference(forward_demodulation,[],[f8435,f8572]) ).
thf(f8572,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_219 ),
inference(avatar_component_clause,[],[f8570]) ).
thf(f8435,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| ~ spl1_202 ),
inference(avatar_component_clause,[],[f8433]) ).
thf(f12072,plain,
( spl1_250
| ~ spl1_201
| ~ spl1_220 ),
inference(avatar_split_clause,[],[f12071,f8576,f8423,f12065]) ).
thf(f8423,plain,
( spl1_201
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_201])]) ).
thf(f8576,plain,
( spl1_220
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_220])]) ).
thf(f12071,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_201
| ~ spl1_220 ),
inference(forward_demodulation,[],[f8425,f8578]) ).
thf(f8578,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_220 ),
inference(avatar_component_clause,[],[f8576]) ).
thf(f8425,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_201 ),
inference(avatar_component_clause,[],[f8423]) ).
thf(f12070,plain,
( spl1_250
| ~ spl1_174
| ~ spl1_247 ),
inference(avatar_split_clause,[],[f12069,f10345,f7442,f12065]) ).
thf(f7442,plain,
( spl1_174
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_174])]) ).
thf(f10345,plain,
( spl1_247
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_247])]) ).
thf(f12069,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_174
| ~ spl1_247 ),
inference(forward_demodulation,[],[f7444,f10347]) ).
thf(f10347,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_247 ),
inference(avatar_component_clause,[],[f10345]) ).
thf(f7444,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_174 ),
inference(avatar_component_clause,[],[f7442]) ).
thf(f12068,plain,
( spl1_250
| ~ spl1_173
| ~ spl1_248 ),
inference(avatar_split_clause,[],[f12063,f10351,f7437,f12065]) ).
thf(f7437,plain,
( spl1_173
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_173])]) ).
thf(f10351,plain,
( spl1_248
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_248])]) ).
thf(f12063,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_173
| ~ spl1_248 ),
inference(forward_demodulation,[],[f7439,f10353]) ).
thf(f10353,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_248 ),
inference(avatar_component_clause,[],[f10351]) ).
thf(f7439,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_173 ),
inference(avatar_component_clause,[],[f7437]) ).
thf(f12062,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12061,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12060,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12059,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12058,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12057,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12056,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12055,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12054,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12053,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12052,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12051,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12050,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12049,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12048,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12047,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12046,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12045,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12044,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12043,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12042,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12041,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12040,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12039,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12038,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12037,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12036,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12035,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12034,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12033,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12032,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12031,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12030,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12029,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12028,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12027,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12026,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12025,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12024,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12023,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12022,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12021,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12020,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12019,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12018,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12017,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12016,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12015,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( one_one_nat = zero_zero_nat ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12014,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12013,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12012,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12011,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12010,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12009,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12008,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12007,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12006,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12005,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( one_one_nat = vAPP(int,nat,number_number_of_nat,t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12004,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12003,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12002,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12001,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f12000,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f11999,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f11998,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f11997,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f11996,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f11995,plain,
( ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(avatar_contradiction_clause,[],[f11994]) ).
thf(f11994,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(trivial_inequality_removal,[],[f11993]) ).
thf(f11993,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(forward_demodulation,[],[f11992,f1369]) ).
thf(f11992,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_116
| ~ spl1_123 ),
inference(trivial_inequality_removal,[],[f11991]) ).
thf(f11991,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_116
| ~ spl1_123 ),
inference(forward_demodulation,[],[f11990,f6110]) ).
thf(f6110,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_123 ),
inference(avatar_component_clause,[],[f6108]) ).
thf(f6108,plain,
( spl1_123
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_123])]) ).
thf(f11989,plain,
( ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(avatar_contradiction_clause,[],[f11988]) ).
thf(f11988,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(trivial_inequality_removal,[],[f11987]) ).
thf(f11987,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(forward_demodulation,[],[f11986,f1369]) ).
thf(f11986,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_114
| spl1_128 ),
inference(trivial_inequality_removal,[],[f11985]) ).
thf(f11985,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_114
| spl1_128 ),
inference(forward_demodulation,[],[f11984,f5972]) ).
thf(f5972,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_114 ),
inference(avatar_component_clause,[],[f5970]) ).
thf(f5970,plain,
( spl1_114
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_114])]) ).
thf(f11983,plain,
( ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(avatar_contradiction_clause,[],[f11982]) ).
thf(f11982,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(trivial_inequality_removal,[],[f11981]) ).
thf(f11981,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(forward_demodulation,[],[f11980,f1369]) ).
thf(f11980,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_127 ),
inference(subsumption_resolution,[],[f11922,f6193]) ).
thf(f6193,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_127 ),
inference(avatar_component_clause,[],[f6192]) ).
thf(f11979,plain,
( ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(avatar_contradiction_clause,[],[f11978]) ).
thf(f11978,plain,
( $false
| ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(trivial_inequality_removal,[],[f11977]) ).
thf(f11977,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(forward_demodulation,[],[f11923,f1369]) ).
thf(f11923,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f11911]) ).
thf(f11911,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_55 ),
inference(superposition,[],[f1011,f890]) ).
thf(f1011,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f1009,plain,
( spl1_55
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
thf(f11976,plain,
( ~ spl1_42
| ~ spl1_71
| spl1_131 ),
inference(avatar_contradiction_clause,[],[f11975]) ).
thf(f11975,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| spl1_131 ),
inference(trivial_inequality_removal,[],[f11974]) ).
thf(f11974,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| spl1_131 ),
inference(forward_demodulation,[],[f11924,f1369]) ).
thf(f11924,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_131 ),
inference(trivial_inequality_removal,[],[f11910]) ).
thf(f11910,plain,
( ( $false != $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_131 ),
inference(superposition,[],[f6219,f890]) ).
thf(f6219,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_131 ),
inference(avatar_component_clause,[],[f6218]) ).
thf(f6218,plain,
( spl1_131
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_131])]) ).
thf(f11973,plain,
( ~ spl1_42
| ~ spl1_123 ),
inference(avatar_contradiction_clause,[],[f11972]) ).
thf(f11972,plain,
( $false
| ~ spl1_42
| ~ spl1_123 ),
inference(trivial_inequality_removal,[],[f11971]) ).
thf(f11971,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_123 ),
inference(forward_demodulation,[],[f11934,f6110]) ).
thf(f11970,plain,
( ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(avatar_contradiction_clause,[],[f11969]) ).
thf(f11969,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(trivial_inequality_removal,[],[f11968]) ).
thf(f11968,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| spl1_116
| ~ spl1_123 ),
inference(forward_demodulation,[],[f11967,f6110]) ).
thf(f11964,plain,
( ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(avatar_contradiction_clause,[],[f11963]) ).
thf(f11963,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(trivial_inequality_removal,[],[f11962]) ).
thf(f11962,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| ~ spl1_114
| spl1_128 ),
inference(forward_demodulation,[],[f11961,f5972]) ).
thf(f11958,plain,
( ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(avatar_contradiction_clause,[],[f11957]) ).
thf(f11957,plain,
( $false
| ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(trivial_inequality_removal,[],[f11956]) ).
thf(f11956,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_71
| spl1_127 ),
inference(forward_demodulation,[],[f11955,f1369]) ).
thf(f11955,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| spl1_127 ),
inference(subsumption_resolution,[],[f11938,f6193]) ).
thf(f11954,plain,
( ~ spl1_42
| ~ spl1_123 ),
inference(avatar_contradiction_clause,[],[f11953]) ).
thf(f11953,plain,
( $false
| ~ spl1_42
| ~ spl1_123 ),
inference(trivial_inequality_removal,[],[f11952]) ).
thf(f11952,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_123 ),
inference(forward_demodulation,[],[f11946,f6110]) ).
thf(f11951,plain,
( ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(avatar_contradiction_clause,[],[f11950]) ).
thf(f11950,plain,
( $false
| ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(trivial_inequality_removal,[],[f11949]) ).
thf(f11949,plain,
( ( $true = $false )
| ~ spl1_42
| ~ spl1_55
| ~ spl1_71 ),
inference(forward_demodulation,[],[f11948,f1369]) ).
thf(f11948,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f11879]) ).
thf(f11879,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_55 ),
inference(superposition,[],[f890,f1011]) ).
thf(f10379,plain,
( ~ spl1_246
| spl1_245 ),
inference(avatar_split_clause,[],[f10377,f10294,f10305]) ).
thf(f10305,plain,
( spl1_246
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_246])]) ).
thf(f10294,plain,
( spl1_245
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_245])]) ).
thf(f10377,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| spl1_245 ),
inference(superposition,[],[f10295,f364]) ).
thf(f364,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X1),X0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),X1) ),
inference(cnf_transformation,[],[f246]) ).
thf(f246,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X1),X0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),X1) ),
inference(rectify,[],[f105]) ).
thf(f105,axiom,
! [X14: int,X12: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X12),X14) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X14),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_zadd__commute) ).
thf(f10295,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),one_one_int) )
| spl1_245 ),
inference(avatar_component_clause,[],[f10294]) ).
thf(f10378,plain,
( ~ spl1_246
| spl1_245 ),
inference(avatar_split_clause,[],[f10376,f10294,f10305]) ).
thf(f10376,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| spl1_245 ),
inference(superposition,[],[f10295,f364]) ).
thf(f10367,plain,
( spl1_249
| ~ spl1_45
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f10366,f6037,f933,f10359]) ).
thf(f10359,plain,
( spl1_249
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_249])]) ).
thf(f6037,plain,
( spl1_120
<=> ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_120])]) ).
thf(f10366,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_45
| ~ spl1_120 ),
inference(forward_demodulation,[],[f935,f6038]) ).
thf(f6038,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_120 ),
inference(avatar_component_clause,[],[f6037]) ).
thf(f10362,plain,
( spl1_249
| ~ spl1_56
| ~ spl1_152 ),
inference(avatar_split_clause,[],[f10357,f7287,f1013,f10359]) ).
thf(f10357,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_56
| ~ spl1_152 ),
inference(forward_demodulation,[],[f7289,f1014]) ).
thf(f1014,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f1013]) ).
thf(f10354,plain,
( spl1_248
| ~ spl1_56
| ~ spl1_173 ),
inference(avatar_split_clause,[],[f10349,f7437,f1013,f10351]) ).
thf(f10349,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| ~ spl1_173 ),
inference(forward_demodulation,[],[f7439,f1014]) ).
thf(f10348,plain,
( spl1_247
| ~ spl1_56
| ~ spl1_174 ),
inference(avatar_split_clause,[],[f10343,f7442,f1013,f10345]) ).
thf(f10343,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| ~ spl1_174 ),
inference(forward_demodulation,[],[f7444,f1014]) ).
thf(f10342,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10341,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10340,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10339,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10338,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10337,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10336,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10335,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10334,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10333,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10332,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10331,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10330,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10329,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10328,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10327,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10326,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10325,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10324,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10323,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10322,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10321,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f10320,plain,
( ~ spl1_42
| ~ spl1_116
| spl1_229
| ~ spl1_246 ),
inference(avatar_contradiction_clause,[],[f10319]) ).
thf(f10319,plain,
( $false
| ~ spl1_42
| ~ spl1_116
| spl1_229
| ~ spl1_246 ),
inference(subsumption_resolution,[],[f10315,f9536]) ).
thf(f9536,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| spl1_229 ),
inference(avatar_component_clause,[],[f9535]) ).
thf(f9535,plain,
( spl1_229
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_229])]) ).
thf(f10315,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_116
| ~ spl1_246 ),
inference(superposition,[],[f8243,f10307]) ).
thf(f10307,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_246 ),
inference(avatar_component_clause,[],[f10305]) ).
thf(f8243,plain,
( ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),zero_zero_int) )
| ~ spl1_42
| ~ spl1_116 ),
inference(backward_demodulation,[],[f889,f5985]) ).
thf(f5985,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_116 ),
inference(avatar_component_clause,[],[f5983]) ).
thf(f889,plain,
( ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f602,f860]) ).
thf(f602,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),vAPP(int,int,bit1,pls)) ),
inference(forward_demodulation,[],[f601,f336]) ).
thf(f601,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,number_number_of_int,X0)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),vAPP(int,int,bit1,pls)) ),
inference(forward_demodulation,[],[f341,f336]) ).
thf(f341,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,number_number_of_int,X0)),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),vAPP(int,int,bit1,pls))) ),
inference(cnf_transformation,[],[f243]) ).
thf(f243,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,number_number_of_int,X0)),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),vAPP(int,int,bit1,pls))) ),
inference(rectify,[],[f19]) ).
thf(f19,axiom,
! [X10: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,number_number_of_int,X10)),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X10),vAPP(int,int,bit1,pls))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_add__special_I3_J) ).
thf(f10318,plain,
( ~ spl1_42
| ~ spl1_116
| spl1_229
| ~ spl1_246 ),
inference(avatar_contradiction_clause,[],[f10317]) ).
thf(f10317,plain,
( $false
| ~ spl1_42
| ~ spl1_116
| spl1_229
| ~ spl1_246 ),
inference(subsumption_resolution,[],[f10314,f9536]) ).
thf(f10314,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_42
| ~ spl1_116
| ~ spl1_246 ),
inference(superposition,[],[f10307,f8243]) ).
thf(f10313,plain,
( spl1_246
| ~ spl1_245 ),
inference(avatar_split_clause,[],[f10303,f10294,f10305]) ).
thf(f10303,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_245 ),
inference(superposition,[],[f364,f10296]) ).
thf(f10296,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),one_one_int) )
| ~ spl1_245 ),
inference(avatar_component_clause,[],[f10294]) ).
thf(f10312,plain,
( spl1_246
| ~ spl1_245 ),
inference(avatar_split_clause,[],[f10302,f10294,f10305]) ).
thf(f10302,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_245 ),
inference(superposition,[],[f364,f10296]) ).
thf(f10311,plain,
( spl1_246
| ~ spl1_42
| ~ spl1_245 ),
inference(avatar_split_clause,[],[f10310,f10294,f858,f10305]) ).
thf(f10310,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_245 ),
inference(forward_demodulation,[],[f10301,f336]) ).
thf(f10301,plain,
( ( vAPP(int,int,number_number_of_int,zero_zero_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_42
| ~ spl1_245 ),
inference(superposition,[],[f2460,f10296]) ).
thf(f2460,plain,
( ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),X0) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int)) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f888,f2456]) ).
thf(f2456,plain,
( ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,zero_zero_int)),X0) )
| ~ spl1_42 ),
inference(superposition,[],[f889,f364]) ).
thf(f888,plain,
( ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),X0) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,zero_zero_int)),X0)) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f600,f860]) ).
thf(f600,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),X0) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,pls)),X0)) ),
inference(forward_demodulation,[],[f340,f336]) ).
thf(f340,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,pls)),X0)) ),
inference(cnf_transformation,[],[f242]) ).
thf(f242,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,number_number_of_int,X0)) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,pls)),X0)) ),
inference(rectify,[],[f18]) ).
thf(f18,axiom,
! [X9: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,number_number_of_int,X9)) = vAPP(int,int,number_number_of_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,bit1,pls)),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_add__special_I2_J) ).
thf(f10309,plain,
( spl1_246
| ~ spl1_245 ),
inference(avatar_split_clause,[],[f10300,f10294,f10305]) ).
thf(f10300,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_245 ),
inference(superposition,[],[f10296,f364]) ).
thf(f10308,plain,
( spl1_246
| ~ spl1_245 ),
inference(avatar_split_clause,[],[f10299,f10294,f10305]) ).
thf(f10299,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int) )
| ~ spl1_245 ),
inference(superposition,[],[f10296,f364]) ).
thf(f10298,plain,
( spl1_245
| ~ spl1_38
| ~ spl1_42
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f10289,f5983,f858,f804,f10294]) ).
thf(f804,plain,
( spl1_38
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
thf(f10289,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),one_one_int) )
| ~ spl1_38
| ~ spl1_42
| ~ spl1_116 ),
inference(superposition,[],[f806,f8243]) ).
thf(f806,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int) )
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f804]) ).
thf(f10297,plain,
( spl1_245
| ~ spl1_38
| ~ spl1_42
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f10286,f5983,f858,f804,f10294]) ).
thf(f10286,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),one_one_int) )
| ~ spl1_38
| ~ spl1_42
| ~ spl1_116 ),
inference(superposition,[],[f8243,f806]) ).
thf(f9910,plain,
( spl1_244
| ~ spl1_220
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9905,f9510,f8576,f9907]) ).
thf(f9907,plain,
( spl1_244
<=> ( t = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_244])]) ).
thf(f9510,plain,
( spl1_225
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_225])]) ).
thf(f9905,plain,
( ( t = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_220
| ~ spl1_225 ),
inference(forward_demodulation,[],[f9837,f338]) ).
thf(f338,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),X0) = X0 ),
inference(cnf_transformation,[],[f240]) ).
thf(f240,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),X0) = X0 ),
inference(rectify,[],[f71]) ).
thf(f71,axiom,
! [X14: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),X14) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_zmult__1) ).
thf(f9837,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),t) )
| ~ spl1_220
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8578,f9512]) ).
thf(f9512,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_225 ),
inference(avatar_component_clause,[],[f9510]) ).
thf(f9904,plain,
( spl1_243
| ~ spl1_219
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9899,f9510,f8570,f9901]) ).
thf(f9901,plain,
( spl1_243
<=> ( sK0 = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_243])]) ).
thf(f9899,plain,
( ( sK0 = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_219
| ~ spl1_225 ),
inference(forward_demodulation,[],[f9836,f338]) ).
thf(f9836,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),sK0) )
| ~ spl1_219
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8572,f9512]) ).
thf(f9898,plain,
( ~ spl1_242
| spl1_199
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9835,f9510,f8405,f9895]) ).
thf(f9895,plain,
( spl1_242
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_242])]) ).
thf(f8405,plain,
( spl1_199
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_199])]) ).
thf(f9835,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),one_one_int) )
| spl1_199
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8407,f9512]) ).
thf(f8407,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| spl1_199 ),
inference(avatar_component_clause,[],[f8405]) ).
thf(f9893,plain,
( ~ spl1_241
| spl1_198
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9834,f9510,f8395,f9890]) ).
thf(f9890,plain,
( spl1_241
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_241])]) ).
thf(f8395,plain,
( spl1_198
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_198])]) ).
thf(f9834,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),one_one_int) )
| spl1_198
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8397,f9512]) ).
thf(f8397,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| spl1_198 ),
inference(avatar_component_clause,[],[f8395]) ).
thf(f9888,plain,
( ~ spl1_240
| spl1_197
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9833,f9510,f8385,f9885]) ).
thf(f9885,plain,
( spl1_240
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_240])]) ).
thf(f8385,plain,
( spl1_197
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_197])]) ).
thf(f9833,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),one_one_int) )
| spl1_197
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8387,f9512]) ).
thf(f8387,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| spl1_197 ),
inference(avatar_component_clause,[],[f8385]) ).
thf(f9883,plain,
( ~ spl1_239
| spl1_196
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9832,f9510,f8375,f9880]) ).
thf(f9880,plain,
( spl1_239
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_239])]) ).
thf(f8375,plain,
( spl1_196
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_196])]) ).
thf(f9832,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),t) )
| spl1_196
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8377,f9512]) ).
thf(f8377,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| spl1_196 ),
inference(avatar_component_clause,[],[f8375]) ).
thf(f9878,plain,
( ~ spl1_238
| spl1_195
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9831,f9510,f8365,f9875]) ).
thf(f9875,plain,
( spl1_238
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_238])]) ).
thf(f8365,plain,
( spl1_195
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_195])]) ).
thf(f9831,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),sK0) )
| spl1_195
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8367,f9512]) ).
thf(f8367,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| spl1_195 ),
inference(avatar_component_clause,[],[f8365]) ).
thf(f9873,plain,
( ~ spl1_237
| spl1_194
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9830,f9510,f8355,f9870]) ).
thf(f9870,plain,
( spl1_237
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_237])]) ).
thf(f8355,plain,
( spl1_194
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_194])]) ).
thf(f9830,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),one_one_int) )
| spl1_194
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8357,f9512]) ).
thf(f8357,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| spl1_194 ),
inference(avatar_component_clause,[],[f8355]) ).
thf(f9868,plain,
( ~ spl1_236
| spl1_193
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9829,f9510,f8345,f9865]) ).
thf(f9865,plain,
( spl1_236
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_236])]) ).
thf(f8345,plain,
( spl1_193
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_193])]) ).
thf(f9829,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),sK0) )
| spl1_193
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8347,f9512]) ).
thf(f8347,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| spl1_193 ),
inference(avatar_component_clause,[],[f8345]) ).
thf(f9863,plain,
( ~ spl1_235
| spl1_192
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9828,f9510,f8335,f9860]) ).
thf(f9860,plain,
( spl1_235
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_235])]) ).
thf(f8335,plain,
( spl1_192
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_192])]) ).
thf(f9828,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,one_one_int),t) )
| spl1_192
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8337,f9512]) ).
thf(f8337,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| spl1_192 ),
inference(avatar_component_clause,[],[f8335]) ).
thf(f9857,plain,
( spl1_234
| ~ spl1_190
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9852,f9510,f8315,f9854]) ).
thf(f9854,plain,
( spl1_234
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_234])]) ).
thf(f8315,plain,
( spl1_190
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_190])]) ).
thf(f9852,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,t) )
| ~ spl1_190
| ~ spl1_225 ),
inference(forward_demodulation,[],[f9826,f339]) ).
thf(f339,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),one_one_int) = X0 ),
inference(cnf_transformation,[],[f241]) ).
thf(f241,plain,
! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),one_one_int) = X0 ),
inference(rectify,[],[f70]) ).
thf(f70,axiom,
! [X14: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X14),one_one_int) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_zmult__1__right) ).
thf(f9826,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),one_one_int)) )
| ~ spl1_190
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8317,f9512]) ).
thf(f8317,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_190 ),
inference(avatar_component_clause,[],[f8315]) ).
thf(f9851,plain,
( spl1_233
| ~ spl1_187
| ~ spl1_225 ),
inference(avatar_split_clause,[],[f9823,f9510,f8285,f9848]) ).
thf(f9848,plain,
( spl1_233
<=> ( $true = vAPP(int,$o,zprime,one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_233])]) ).
thf(f8285,plain,
( spl1_187
<=> ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_187])]) ).
thf(f9823,plain,
( ( $true = vAPP(int,$o,zprime,one_one_int) )
| ~ spl1_187
| ~ spl1_225 ),
inference(backward_demodulation,[],[f8287,f9512]) ).
thf(f8287,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_187 ),
inference(avatar_component_clause,[],[f8285]) ).
thf(f9821,plain,
( spl1_225
| spl1_224
| ~ spl1_228 ),
inference(avatar_split_clause,[],[f9703,f9526,f9506,f9510]) ).
thf(f9506,plain,
( spl1_224
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_224])]) ).
thf(f9526,plain,
( spl1_228
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_228])]) ).
thf(f9703,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_228 ),
inference(trivial_inequality_removal,[],[f9666]) ).
thf(f9666,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_228 ),
inference(superposition,[],[f9528,f4445]) ).
thf(f9528,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_228 ),
inference(avatar_component_clause,[],[f9526]) ).
thf(f9820,plain,
( spl1_225
| spl1_224
| ~ spl1_228 ),
inference(avatar_split_clause,[],[f9695,f9526,f9506,f9510]) ).
thf(f9695,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_228 ),
inference(trivial_inequality_removal,[],[f9678]) ).
thf(f9678,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_228 ),
inference(superposition,[],[f4445,f9528]) ).
thf(f9819,plain,
( spl1_225
| spl1_224
| ~ spl1_226 ),
inference(avatar_split_clause,[],[f9748,f9515,f9506,f9510]) ).
thf(f9515,plain,
( spl1_226
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_226])]) ).
thf(f9748,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(trivial_inequality_removal,[],[f9724]) ).
thf(f9724,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(superposition,[],[f9517,f374]) ).
thf(f9517,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_226 ),
inference(avatar_component_clause,[],[f9515]) ).
thf(f9818,plain,
( spl1_225
| spl1_224
| ~ spl1_226 ),
inference(avatar_split_clause,[],[f9747,f9515,f9506,f9510]) ).
thf(f9747,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(trivial_inequality_removal,[],[f9725]) ).
thf(f9725,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(superposition,[],[f9517,f374]) ).
thf(f9817,plain,
( spl1_225
| spl1_224
| ~ spl1_226 ),
inference(avatar_split_clause,[],[f9742,f9515,f9506,f9510]) ).
thf(f9742,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(trivial_inequality_removal,[],[f9734]) ).
thf(f9734,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(superposition,[],[f374,f9517]) ).
thf(f9816,plain,
( spl1_225
| spl1_224
| ~ spl1_226 ),
inference(avatar_split_clause,[],[f9741,f9515,f9506,f9510]) ).
thf(f9741,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(trivial_inequality_removal,[],[f9735]) ).
thf(f9735,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_226 ),
inference(superposition,[],[f374,f9517]) ).
thf(f9815,plain,
( spl1_232
| ~ spl1_224 ),
inference(avatar_split_clause,[],[f9797,f9506,f9810]) ).
thf(f9810,plain,
( spl1_232
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_232])]) ).
thf(f9797,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(trivial_inequality_removal,[],[f9792]) ).
thf(f9792,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(superposition,[],[f1360,f9508]) ).
thf(f9508,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_224 ),
inference(avatar_component_clause,[],[f9506]) ).
thf(f9814,plain,
( spl1_232
| ~ spl1_224 ),
inference(avatar_split_clause,[],[f9799,f9506,f9810]) ).
thf(f9799,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(trivial_inequality_removal,[],[f9790]) ).
thf(f9790,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(superposition,[],[f1157,f9508]) ).
thf(f9813,plain,
( spl1_232
| ~ spl1_224 ),
inference(avatar_split_clause,[],[f9805,f9506,f9810]) ).
thf(f9805,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(trivial_inequality_removal,[],[f9784]) ).
thf(f9784,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_224 ),
inference(superposition,[],[f9508,f1360]) ).
thf(f9576,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9575,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9574,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9573,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9572,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9571,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9570,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9569,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9568,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9567,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9566,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9565,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9564,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9563,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9562,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9561,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9560,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9559,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9558,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9557,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9556,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9555,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9554,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9553,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f9552,plain,
( spl1_227
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9489,f8305,f9520]) ).
thf(f9520,plain,
( spl1_227
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_227])]) ).
thf(f8305,plain,
( spl1_189
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_189])]) ).
thf(f9489,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9488]) ).
thf(f9488,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1488,f8307]) ).
thf(f8307,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(avatar_component_clause,[],[f8305]) ).
thf(f9551,plain,
( spl1_227
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9490,f8305,f9520]) ).
thf(f9490,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9487]) ).
thf(f9487,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1488,f8307]) ).
thf(f9550,plain,
( spl1_228
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9491,f8305,f9526]) ).
thf(f9491,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9486]) ).
thf(f9486,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1360,f8307]) ).
thf(f9549,plain,
( spl1_227
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9492,f8305,f9520]) ).
thf(f9492,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9485]) ).
thf(f9485,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1343,f8307]) ).
thf(f9548,plain,
( spl1_228
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9493,f8305,f9526]) ).
thf(f9493,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9484]) ).
thf(f9484,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1157,f8307]) ).
thf(f9547,plain,
( spl1_231
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9494,f8305,f9544]) ).
thf(f9544,plain,
( spl1_231
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_231])]) ).
thf(f9494,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9483]) ).
thf(f9483,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(superposition,[],[f398,f8307]) ).
thf(f9542,plain,
( spl1_229
| spl1_230
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9495,f8305,f9539,f9535]) ).
thf(f9539,plain,
( spl1_230
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_230])]) ).
thf(f9495,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9482]) ).
thf(f9482,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_189 ),
inference(superposition,[],[f5509,f8307]) ).
thf(f5509,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( zero_zero_int = X0 ) ),
inference(trivial_inequality_removal,[],[f5491]) ).
thf(f5491,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( zero_zero_int = X0 ) ),
inference(superposition,[],[f651,f5218]) ).
thf(f9533,plain,
( spl1_225
| spl1_224
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9496,f8305,f9506,f9510]) ).
thf(f9496,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9481]) ).
thf(f9481,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ~ spl1_189 ),
inference(superposition,[],[f5117,f8307]) ).
thf(f5117,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 ) ),
inference(trivial_inequality_removal,[],[f5104]) ).
thf(f5104,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),X0) )
| ( one_one_int = X0 ) ),
inference(superposition,[],[f651,f4445]) ).
thf(f9532,plain,
( spl1_224
| spl1_225
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9497,f8305,f9510,f9506]) ).
thf(f9497,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9480]) ).
thf(f9480,plain,
( ( $true = $false )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(superposition,[],[f2655,f8307]) ).
thf(f9531,plain,
( spl1_226
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9498,f8305,f9515]) ).
thf(f9498,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9479]) ).
thf(f9479,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(superposition,[],[f2123,f8307]) ).
thf(f2123,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f2122]) ).
thf(f2122,plain,
! [X0: int] :
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f651,f1671]) ).
thf(f9530,plain,
( spl1_226
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9499,f8305,f9515]) ).
thf(f9499,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9478]) ).
thf(f9478,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(superposition,[],[f1429,f8307]) ).
thf(f9529,plain,
( spl1_228
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9500,f8305,f9526]) ).
thf(f9500,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9477]) ).
thf(f9477,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f8307,f1360]) ).
thf(f9524,plain,
( spl1_227
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9501,f8305,f9520]) ).
thf(f9501,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9476]) ).
thf(f9476,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f8307,f1488]) ).
thf(f9523,plain,
( spl1_227
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9502,f8305,f9520]) ).
thf(f9502,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9475]) ).
thf(f9475,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),zero_zero_int) )
| ~ spl1_189 ),
inference(superposition,[],[f8307,f1488]) ).
thf(f9518,plain,
( spl1_226
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9503,f8305,f9515]) ).
thf(f9503,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9474]) ).
thf(f9474,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),one_one_int) )
| ~ spl1_189 ),
inference(superposition,[],[f8307,f1429]) ).
thf(f9513,plain,
( spl1_224
| spl1_225
| ~ spl1_189 ),
inference(avatar_split_clause,[],[f9504,f8305,f9510,f9506]) ).
thf(f9504,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(trivial_inequality_removal,[],[f9473]) ).
thf(f9473,plain,
( ( $true = $false )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_189 ),
inference(superposition,[],[f8307,f2655]) ).
thf(f9472,plain,
( spl1_221
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9443,f8295,f9453]) ).
thf(f9453,plain,
( spl1_221
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_221])]) ).
thf(f8295,plain,
( spl1_188
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_188])]) ).
thf(f9443,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9442]) ).
thf(f9442,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f1488,f8297]) ).
thf(f8297,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_188 ),
inference(avatar_component_clause,[],[f8295]) ).
thf(f9471,plain,
( spl1_221
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9444,f8295,f9453]) ).
thf(f9444,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9441]) ).
thf(f9441,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f1488,f8297]) ).
thf(f9470,plain,
( spl1_222
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9445,f8295,f9459]) ).
thf(f9459,plain,
( spl1_222
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_222])]) ).
thf(f9445,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9440]) ).
thf(f9440,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f1360,f8297]) ).
thf(f9469,plain,
( spl1_221
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9446,f8295,f9453]) ).
thf(f9446,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9439]) ).
thf(f9439,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f1343,f8297]) ).
thf(f9468,plain,
( spl1_222
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9447,f8295,f9459]) ).
thf(f9447,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9438]) ).
thf(f9438,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f1157,f8297]) ).
thf(f9467,plain,
( spl1_223
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9448,f8295,f9464]) ).
thf(f9464,plain,
( spl1_223
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_223])]) ).
thf(f9448,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9437]) ).
thf(f9437,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_188 ),
inference(superposition,[],[f398,f8297]) ).
thf(f9462,plain,
( spl1_222
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9449,f8295,f9459]) ).
thf(f9449,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9436]) ).
thf(f9436,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f8297,f1360]) ).
thf(f9457,plain,
( spl1_221
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9450,f8295,f9453]) ).
thf(f9450,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9435]) ).
thf(f9435,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f8297,f1488]) ).
thf(f9456,plain,
( spl1_221
| ~ spl1_188 ),
inference(avatar_split_clause,[],[f9451,f8295,f9453]) ).
thf(f9451,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(trivial_inequality_removal,[],[f9434]) ).
thf(f9434,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_188 ),
inference(superposition,[],[f8297,f1488]) ).
thf(f8579,plain,
( spl1_220
| ~ spl1_56
| ~ spl1_201 ),
inference(avatar_split_clause,[],[f8574,f8423,f1013,f8576]) ).
thf(f8574,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| ~ spl1_201 ),
inference(forward_demodulation,[],[f8425,f1014]) ).
thf(f8573,plain,
( spl1_219
| ~ spl1_56
| ~ spl1_202 ),
inference(avatar_split_clause,[],[f8568,f8433,f1013,f8570]) ).
thf(f8568,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| ~ spl1_202 ),
inference(forward_demodulation,[],[f8435,f1014]) ).
thf(f8566,plain,
( ~ spl1_218
| ~ spl1_56
| spl1_172 ),
inference(avatar_split_clause,[],[f8481,f7432,f1013,f8563]) ).
thf(f8563,plain,
( spl1_218
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_218])]) ).
thf(f7432,plain,
( spl1_172
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_172])]) ).
thf(f8481,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)),one_one_int) )
| ~ spl1_56
| spl1_172 ),
inference(backward_demodulation,[],[f7434,f1014]) ).
thf(f7434,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) )
| spl1_172 ),
inference(avatar_component_clause,[],[f7432]) ).
thf(f8561,plain,
( spl1_217
| ~ spl1_56
| ~ spl1_171 ),
inference(avatar_split_clause,[],[f8480,f7427,f1013,f8558]) ).
thf(f8558,plain,
( spl1_217
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_217])]) ).
thf(f7427,plain,
( spl1_171
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_171])]) ).
thf(f8480,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),one_one_int) )
| ~ spl1_56
| ~ spl1_171 ),
inference(backward_demodulation,[],[f7429,f1014]) ).
thf(f7429,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) )
| ~ spl1_171 ),
inference(avatar_component_clause,[],[f7427]) ).
thf(f8556,plain,
( spl1_216
| ~ spl1_56
| ~ spl1_170 ),
inference(avatar_split_clause,[],[f8479,f7422,f1013,f8553]) ).
thf(f8553,plain,
( spl1_216
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_216])]) ).
thf(f7422,plain,
( spl1_170
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_170])]) ).
thf(f8479,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) )
| ~ spl1_56
| ~ spl1_170 ),
inference(backward_demodulation,[],[f7424,f1014]) ).
thf(f7424,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_170 ),
inference(avatar_component_clause,[],[f7422]) ).
thf(f8551,plain,
( spl1_215
| ~ spl1_56
| ~ spl1_169 ),
inference(avatar_split_clause,[],[f8478,f7417,f1013,f8548]) ).
thf(f8548,plain,
( spl1_215
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_215])]) ).
thf(f7417,plain,
( spl1_169
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_169])]) ).
thf(f8478,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) )
| ~ spl1_56
| ~ spl1_169 ),
inference(backward_demodulation,[],[f7419,f1014]) ).
thf(f7419,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_169 ),
inference(avatar_component_clause,[],[f7417]) ).
thf(f8546,plain,
( ~ spl1_214
| ~ spl1_56
| spl1_168 ),
inference(avatar_split_clause,[],[f8477,f7412,f1013,f8543]) ).
thf(f8543,plain,
( spl1_214
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_214])]) ).
thf(f7412,plain,
( spl1_168
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_168])]) ).
thf(f8477,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| spl1_168 ),
inference(backward_demodulation,[],[f7414,f1014]) ).
thf(f7414,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| spl1_168 ),
inference(avatar_component_clause,[],[f7412]) ).
thf(f8541,plain,
( ~ spl1_213
| ~ spl1_56
| spl1_167 ),
inference(avatar_split_clause,[],[f8476,f7407,f1013,f8538]) ).
thf(f8538,plain,
( spl1_213
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_213])]) ).
thf(f7407,plain,
( spl1_167
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_167])]) ).
thf(f8476,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)),one_one_int) )
| ~ spl1_56
| spl1_167 ),
inference(backward_demodulation,[],[f7409,f1014]) ).
thf(f7409,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) )
| spl1_167 ),
inference(avatar_component_clause,[],[f7407]) ).
thf(f8536,plain,
( spl1_212
| ~ spl1_56
| ~ spl1_166 ),
inference(avatar_split_clause,[],[f8475,f7402,f1013,f8533]) ).
thf(f8533,plain,
( spl1_212
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_212])]) ).
thf(f7402,plain,
( spl1_166
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_166])]) ).
thf(f8475,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),zero_zero_int) )
| ~ spl1_56
| ~ spl1_166 ),
inference(backward_demodulation,[],[f7404,f1014]) ).
thf(f7404,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) )
| ~ spl1_166 ),
inference(avatar_component_clause,[],[f7402]) ).
thf(f8531,plain,
( spl1_211
| ~ spl1_56
| ~ spl1_165 ),
inference(avatar_split_clause,[],[f8474,f7397,f1013,f8528]) ).
thf(f8528,plain,
( spl1_211
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_211])]) ).
thf(f7397,plain,
( spl1_165
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_165])]) ).
thf(f8474,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),one_one_int) )
| ~ spl1_56
| ~ spl1_165 ),
inference(backward_demodulation,[],[f7399,f1014]) ).
thf(f7399,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) )
| ~ spl1_165 ),
inference(avatar_component_clause,[],[f7397]) ).
thf(f8526,plain,
( spl1_210
| ~ spl1_56
| ~ spl1_164 ),
inference(avatar_split_clause,[],[f8473,f7392,f1013,f8523]) ).
thf(f8523,plain,
( spl1_210
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_210])]) ).
thf(f7392,plain,
( spl1_164
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_164])]) ).
thf(f8473,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) )
| ~ spl1_56
| ~ spl1_164 ),
inference(backward_demodulation,[],[f7394,f1014]) ).
thf(f7394,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_164 ),
inference(avatar_component_clause,[],[f7392]) ).
thf(f8521,plain,
( ~ spl1_209
| ~ spl1_56
| spl1_163 ),
inference(avatar_split_clause,[],[f8472,f7387,f1013,f8518]) ).
thf(f8518,plain,
( spl1_209
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_209])]) ).
thf(f7387,plain,
( spl1_163
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_163])]) ).
thf(f8472,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat)) )
| ~ spl1_56
| spl1_163 ),
inference(backward_demodulation,[],[f7389,f1014]) ).
thf(f7389,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| spl1_163 ),
inference(avatar_component_clause,[],[f7387]) ).
thf(f8516,plain,
( spl1_208
| ~ spl1_56
| ~ spl1_162 ),
inference(avatar_split_clause,[],[f8471,f7382,f1013,f8513]) ).
thf(f8513,plain,
( spl1_208
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_208])]) ).
thf(f7382,plain,
( spl1_162
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_162])]) ).
thf(f8471,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))) )
| ~ spl1_56
| ~ spl1_162 ),
inference(backward_demodulation,[],[f7384,f1014]) ).
thf(f7384,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_162 ),
inference(avatar_component_clause,[],[f7382]) ).
thf(f8511,plain,
( spl1_207
| ~ spl1_56
| ~ spl1_161 ),
inference(avatar_split_clause,[],[f8470,f7377,f1013,f8508]) ).
thf(f8508,plain,
( spl1_207
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_207])]) ).
thf(f7377,plain,
( spl1_161
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_161])]) ).
thf(f8470,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),one_one_nat))),zero_zero_int) )
| ~ spl1_56
| ~ spl1_161 ),
inference(backward_demodulation,[],[f7379,f1014]) ).
thf(f7379,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) )
| ~ spl1_161 ),
inference(avatar_component_clause,[],[f7377]) ).
thf(f8506,plain,
( spl1_206
| ~ spl1_56
| ~ spl1_160 ),
inference(avatar_split_clause,[],[f8469,f7372,f1013,f8502]) ).
thf(f8502,plain,
( spl1_206
<=> ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_206])]) ).
thf(f7372,plain,
( spl1_160
<=> ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_160])]) ).
thf(f8469,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),one_one_nat) )
| ~ spl1_56
| ~ spl1_160 ),
inference(backward_demodulation,[],[f7374,f1014]) ).
thf(f7374,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),zero_zero_nat) )
| ~ spl1_160 ),
inference(avatar_component_clause,[],[f7372]) ).
thf(f8505,plain,
( spl1_206
| ~ spl1_56
| ~ spl1_159 ),
inference(avatar_split_clause,[],[f8468,f7367,f1013,f8502]) ).
thf(f7367,plain,
( spl1_159
<=> ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_159])]) ).
thf(f8468,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),one_one_nat) )
| ~ spl1_56
| ~ spl1_159 ),
inference(backward_demodulation,[],[f7369,f1014]) ).
thf(f7369,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_159 ),
inference(avatar_component_clause,[],[f7367]) ).
thf(f8500,plain,
( spl1_205
| ~ spl1_56
| ~ spl1_158 ),
inference(avatar_split_clause,[],[f8467,f7362,f1013,f8497]) ).
thf(f8497,plain,
( spl1_205
<=> ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_205])]) ).
thf(f7362,plain,
( spl1_158
<=> ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_158])]) ).
thf(f8467,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),one_one_nat) )
| ~ spl1_56
| ~ spl1_158 ),
inference(backward_demodulation,[],[f7364,f1014]) ).
thf(f7364,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),zero_zero_nat) )
| ~ spl1_158 ),
inference(avatar_component_clause,[],[f7362]) ).
thf(f8495,plain,
( spl1_204
| ~ spl1_56
| ~ spl1_157 ),
inference(avatar_split_clause,[],[f8466,f7357,f1013,f8492]) ).
thf(f8492,plain,
( spl1_204
<=> ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_204])]) ).
thf(f7357,plain,
( spl1_157
<=> ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),zero_zero_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_157])]) ).
thf(f8466,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),one_one_nat) )
| ~ spl1_56
| ~ spl1_157 ),
inference(backward_demodulation,[],[f7359,f1014]) ).
thf(f7359,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),zero_zero_nat) )
| ~ spl1_157 ),
inference(avatar_component_clause,[],[f7357]) ).
thf(f8441,plain,
( ~ spl1_203
| ~ spl1_116
| spl1_181 ),
inference(avatar_split_clause,[],[f8277,f7887,f5983,f8438]) ).
thf(f8438,plain,
( spl1_203
<=> ( one_one_int = vAPP(int,int,bit0,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_203])]) ).
thf(f7887,plain,
( spl1_181
<=> ( one_one_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_181])]) ).
thf(f8277,plain,
( ( one_one_int != vAPP(int,int,bit0,zero_zero_int) )
| ~ spl1_116
| spl1_181 ),
inference(backward_demodulation,[],[f7888,f5985]) ).
thf(f7888,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_181 ),
inference(avatar_component_clause,[],[f7887]) ).
thf(f8436,plain,
( spl1_202
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_174 ),
inference(avatar_split_clause,[],[f8431,f7442,f5983,f5886,f858,f8433]) ).
thf(f5886,plain,
( spl1_109
<=> ( zero_zero_int = vAPP(int,int,bit0,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_109])]) ).
thf(f8431,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_174 ),
inference(forward_demodulation,[],[f8430,f8243]) ).
thf(f8430,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),sK0) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_174 ),
inference(forward_demodulation,[],[f8429,f5888]) ).
thf(f5888,plain,
( ( zero_zero_int = vAPP(int,int,bit0,zero_zero_int) )
| ~ spl1_109 ),
inference(avatar_component_clause,[],[f5886]) ).
thf(f8429,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),sK0) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_174 ),
inference(forward_demodulation,[],[f8428,f5888]) ).
thf(f8428,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),sK0) )
| ~ spl1_42
| ~ spl1_116
| ~ spl1_174 ),
inference(forward_demodulation,[],[f8427,f863]) ).
thf(f863,plain,
( ! [X0: int] : ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),X0) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f337,f860]) ).
thf(f337,plain,
! [X0: int] : ( pls = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,pls),X0) ),
inference(cnf_transformation,[],[f239]) ).
thf(f239,plain,
! [X0: int] : ( pls = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,pls),X0) ),
inference(rectify,[],[f67]) ).
thf(f67,axiom,
! [X12: int] : ( pls = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,pls),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_mult__Pls) ).
thf(f8427,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),sK0) )
| ~ spl1_116
| ~ spl1_174 ),
inference(forward_demodulation,[],[f8276,f365]) ).
thf(f365,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X0) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1) ),
inference(cnf_transformation,[],[f247]) ).
thf(f247,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X0) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1) ),
inference(rectify,[],[f26]) ).
thf(f26,axiom,
! [X14: int,X12: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X14),X12) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X12),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_zmult__commute) ).
thf(f8276,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),sK0) )
| ~ spl1_116
| ~ spl1_174 ),
inference(backward_demodulation,[],[f7444,f5985]) ).
thf(f8426,plain,
( spl1_201
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_173 ),
inference(avatar_split_clause,[],[f8421,f7437,f5983,f5886,f858,f8423]) ).
thf(f8421,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_173 ),
inference(forward_demodulation,[],[f8420,f8243]) ).
thf(f8420,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),t) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_173 ),
inference(forward_demodulation,[],[f8419,f5888]) ).
thf(f8419,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),t) )
| ~ spl1_42
| ~ spl1_109
| ~ spl1_116
| ~ spl1_173 ),
inference(forward_demodulation,[],[f8418,f5888]) ).
thf(f8418,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),t) )
| ~ spl1_42
| ~ spl1_116
| ~ spl1_173 ),
inference(forward_demodulation,[],[f8417,f863]) ).
thf(f8417,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),t) )
| ~ spl1_116
| ~ spl1_173 ),
inference(forward_demodulation,[],[f8275,f365]) ).
thf(f8275,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),t) )
| ~ spl1_116
| ~ spl1_173 ),
inference(backward_demodulation,[],[f7439,f5985]) ).
thf(f8416,plain,
( ~ spl1_200
| ~ spl1_116
| spl1_151 ),
inference(avatar_split_clause,[],[f8273,f6558,f5983,f8413]) ).
thf(f8413,plain,
( spl1_200
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_200])]) ).
thf(f8273,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ~ spl1_116
| spl1_151 ),
inference(backward_demodulation,[],[f6559,f5985]) ).
thf(f6559,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_151 ),
inference(avatar_component_clause,[],[f6558]) ).
thf(f8408,plain,
( ~ spl1_199
| ~ spl1_42
| spl1_108
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8403,f5983,f5886,f5880,f858,f8405]) ).
thf(f5880,plain,
( spl1_108
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_108])]) ).
thf(f8403,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| spl1_108
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8402,f8243]) ).
thf(f8402,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| spl1_108
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8401,f5888]) ).
thf(f8401,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| spl1_108
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8400,f5888]) ).
thf(f8400,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| spl1_108
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8399,f863]) ).
thf(f8399,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| spl1_108
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8263,f365]) ).
thf(f8263,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| spl1_108
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5882,f5985]) ).
thf(f5882,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_108 ),
inference(avatar_component_clause,[],[f5880]) ).
thf(f8398,plain,
( ~ spl1_198
| ~ spl1_42
| spl1_107
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8393,f5983,f5886,f5872,f858,f8395]) ).
thf(f5872,plain,
( spl1_107
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).
thf(f8393,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| spl1_107
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8392,f8243]) ).
thf(f8392,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| spl1_107
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8391,f5888]) ).
thf(f8391,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| spl1_107
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8390,f5888]) ).
thf(f8390,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| spl1_107
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8389,f863]) ).
thf(f8389,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| spl1_107
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8262,f365]) ).
thf(f8262,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| spl1_107
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5874,f5985]) ).
thf(f5874,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_107 ),
inference(avatar_component_clause,[],[f5872]) ).
thf(f8388,plain,
( ~ spl1_197
| ~ spl1_42
| spl1_106
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8383,f5983,f5886,f5864,f858,f8385]) ).
thf(f5864,plain,
( spl1_106
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_106])]) ).
thf(f8383,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| spl1_106
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8382,f8243]) ).
thf(f8382,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| spl1_106
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8381,f5888]) ).
thf(f8381,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| spl1_106
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8380,f5888]) ).
thf(f8380,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| spl1_106
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8379,f863]) ).
thf(f8379,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| spl1_106
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8261,f365]) ).
thf(f8261,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| spl1_106
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5866,f5985]) ).
thf(f5866,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_106 ),
inference(avatar_component_clause,[],[f5864]) ).
thf(f8378,plain,
( ~ spl1_196
| ~ spl1_42
| spl1_105
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8373,f5983,f5886,f5856,f858,f8375]) ).
thf(f5856,plain,
( spl1_105
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_105])]) ).
thf(f8373,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_42
| spl1_105
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8372,f8243]) ).
thf(f8372,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),t) )
| ~ spl1_42
| spl1_105
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8371,f5888]) ).
thf(f8371,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),t) )
| ~ spl1_42
| spl1_105
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8370,f5888]) ).
thf(f8370,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),t) )
| ~ spl1_42
| spl1_105
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8369,f863]) ).
thf(f8369,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),t) )
| spl1_105
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8260,f365]) ).
thf(f8260,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),t) )
| spl1_105
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5858,f5985]) ).
thf(f5858,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_105 ),
inference(avatar_component_clause,[],[f5856]) ).
thf(f8368,plain,
( ~ spl1_195
| ~ spl1_42
| spl1_104
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8363,f5983,f5886,f5848,f858,f8365]) ).
thf(f5848,plain,
( spl1_104
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_104])]) ).
thf(f8363,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| ~ spl1_42
| spl1_104
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8362,f8243]) ).
thf(f8362,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),sK0) )
| ~ spl1_42
| spl1_104
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8361,f5888]) ).
thf(f8361,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),sK0) )
| ~ spl1_42
| spl1_104
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8360,f5888]) ).
thf(f8360,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),sK0) )
| ~ spl1_42
| spl1_104
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8359,f863]) ).
thf(f8359,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),sK0) )
| spl1_104
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8259,f365]) ).
thf(f8259,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),sK0) )
| spl1_104
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5850,f5985]) ).
thf(f5850,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_104 ),
inference(avatar_component_clause,[],[f5848]) ).
thf(f8358,plain,
( ~ spl1_194
| ~ spl1_42
| spl1_103
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8353,f5983,f5886,f5840,f858,f8355]) ).
thf(f5840,plain,
( spl1_103
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_103])]) ).
thf(f8353,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| spl1_103
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8352,f8243]) ).
thf(f8352,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| spl1_103
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8351,f5888]) ).
thf(f8351,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| spl1_103
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8350,f5888]) ).
thf(f8350,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| spl1_103
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8349,f863]) ).
thf(f8349,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| spl1_103
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8258,f365]) ).
thf(f8258,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| spl1_103
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5842,f5985]) ).
thf(f5842,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_103 ),
inference(avatar_component_clause,[],[f5840]) ).
thf(f8348,plain,
( ~ spl1_193
| ~ spl1_42
| spl1_102
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8343,f5983,f5886,f5832,f858,f8345]) ).
thf(f5832,plain,
( spl1_102
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).
thf(f8343,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),sK0) )
| ~ spl1_42
| spl1_102
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8342,f8243]) ).
thf(f8342,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),sK0) )
| ~ spl1_42
| spl1_102
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8341,f5888]) ).
thf(f8341,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),sK0) )
| ~ spl1_42
| spl1_102
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8340,f5888]) ).
thf(f8340,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),sK0) )
| ~ spl1_42
| spl1_102
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8339,f863]) ).
thf(f8339,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),sK0) )
| spl1_102
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8257,f365]) ).
thf(f8257,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),sK0) )
| spl1_102
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5834,f5985]) ).
thf(f5834,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_102 ),
inference(avatar_component_clause,[],[f5832]) ).
thf(f8338,plain,
( ~ spl1_192
| ~ spl1_42
| spl1_101
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8333,f5983,f5886,f5824,f858,f8335]) ).
thf(f5824,plain,
( spl1_101
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_101])]) ).
thf(f8333,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)),t) )
| ~ spl1_42
| spl1_101
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8332,f8243]) ).
thf(f8332,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)),t) )
| ~ spl1_42
| spl1_101
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8331,f5888]) ).
thf(f8331,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))),t) )
| ~ spl1_42
| spl1_101
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8330,f5888]) ).
thf(f8330,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))),t) )
| ~ spl1_42
| spl1_101
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8329,f863]) ).
thf(f8329,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))),t) )
| spl1_101
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8256,f365]) ).
thf(f8256,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))),t) )
| spl1_101
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5826,f5985]) ).
thf(f5826,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_101 ),
inference(avatar_component_clause,[],[f5824]) ).
thf(f8328,plain,
( spl1_191
| ~ spl1_42
| ~ spl1_98
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8323,f5983,f5886,f5800,f858,f8325]) ).
thf(f5800,plain,
( spl1_98
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_98])]) ).
thf(f8323,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))),zero_zero_int) )
| ~ spl1_42
| ~ spl1_98
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8322,f8243]) ).
thf(f8322,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int))),zero_zero_int) )
| ~ spl1_42
| ~ spl1_98
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8321,f5888]) ).
thf(f8321,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int)))),zero_zero_int) )
| ~ spl1_42
| ~ spl1_98
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8320,f5888]) ).
thf(f8320,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int))))),zero_zero_int) )
| ~ spl1_42
| ~ spl1_98
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8319,f863]) ).
thf(f8319,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m)))))),zero_zero_int) )
| ~ spl1_98
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8255,f365]) ).
thf(f8255,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int)))))),zero_zero_int) )
| ~ spl1_98
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5802,f5985]) ).
thf(f5802,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ~ spl1_98 ),
inference(avatar_component_clause,[],[f5800]) ).
thf(f8318,plain,
( spl1_190
| ~ spl1_42
| ~ spl1_97
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8313,f5983,f5886,f5792,f858,f8315]) ).
thf(f5792,plain,
( spl1_97
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_97])]) ).
thf(f8313,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int))) )
| ~ spl1_42
| ~ spl1_97
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8312,f8243]) ).
thf(f8312,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int))) )
| ~ spl1_42
| ~ spl1_97
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8311,f5888]) ).
thf(f8311,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| ~ spl1_97
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8310,f5888]) ).
thf(f8310,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int))))) )
| ~ spl1_42
| ~ spl1_97
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8309,f863]) ).
thf(f8309,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m)))))) )
| ~ spl1_97
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8254,f365]) ).
thf(f8254,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int)))))) )
| ~ spl1_97
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5794,f5985]) ).
thf(f5794,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_97 ),
inference(avatar_component_clause,[],[f5792]) ).
thf(f8308,plain,
( spl1_189
| ~ spl1_42
| ~ spl1_96
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8303,f5983,f5886,f5784,f858,f8305]) ).
thf(f5784,plain,
( spl1_96
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_96])]) ).
thf(f8303,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| ~ spl1_96
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8302,f8243]) ).
thf(f8302,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| ~ spl1_96
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8301,f5888]) ).
thf(f8301,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_96
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8300,f5888]) ).
thf(f8300,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| ~ spl1_96
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8299,f863]) ).
thf(f8299,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| ~ spl1_96
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8253,f365]) ).
thf(f8253,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| ~ spl1_96
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5786,f5985]) ).
thf(f5786,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_96 ),
inference(avatar_component_clause,[],[f5784]) ).
thf(f8298,plain,
( spl1_188
| ~ spl1_42
| ~ spl1_95
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8293,f5983,f5886,f5776,f858,f8295]) ).
thf(f5776,plain,
( spl1_95
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).
thf(f8293,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| ~ spl1_95
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8292,f8243]) ).
thf(f8292,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| ~ spl1_95
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8291,f5888]) ).
thf(f8291,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_95
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8290,f5888]) ).
thf(f8290,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| ~ spl1_95
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8289,f863]) ).
thf(f8289,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| ~ spl1_95
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8252,f365]) ).
thf(f8252,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| ~ spl1_95
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5778,f5985]) ).
thf(f5778,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_95 ),
inference(avatar_component_clause,[],[f5776]) ).
thf(f8288,plain,
( spl1_187
| ~ spl1_42
| ~ spl1_94
| ~ spl1_109
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f8283,f5983,f5886,f5768,f858,f8285]) ).
thf(f5768,plain,
( spl1_94
<=> ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_94])]) ).
thf(f8283,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int)) )
| ~ spl1_42
| ~ spl1_94
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8282,f8243]) ).
thf(f8282,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),zero_zero_int)) )
| ~ spl1_42
| ~ spl1_94
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8281,f5888]) ).
thf(f8281,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_94
| ~ spl1_109
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8280,f5888]) ).
thf(f8280,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,zero_zero_int)))) )
| ~ spl1_42
| ~ spl1_94
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8279,f863]) ).
thf(f8279,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),m))))) )
| ~ spl1_94
| ~ spl1_116 ),
inference(forward_demodulation,[],[f8251,f365]) ).
thf(f8251,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),zero_zero_int))))) )
| ~ spl1_94
| ~ spl1_116 ),
inference(backward_demodulation,[],[f5770,f5985]) ).
thf(f5770,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_94 ),
inference(avatar_component_clause,[],[f5768]) ).
thf(f8242,plain,
( spl1_56
| ~ spl1_43
| ~ spl1_118 ),
inference(avatar_split_clause,[],[f8241,f6027,f923,f1013]) ).
thf(f6027,plain,
( spl1_118
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_118])]) ).
thf(f8241,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_43
| ~ spl1_118 ),
inference(backward_demodulation,[],[f925,f6029]) ).
thf(f6029,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_118 ),
inference(avatar_component_clause,[],[f6027]) ).
thf(f8240,plain,
( spl1_56
| ~ spl1_59
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f8239,f6032,f1106,f1013]) ).
thf(f6032,plain,
( spl1_119
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_119])]) ).
thf(f8239,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_59
| ~ spl1_119 ),
inference(backward_demodulation,[],[f1108,f6034]) ).
thf(f6034,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_119 ),
inference(avatar_component_clause,[],[f6032]) ).
thf(f8238,plain,
( spl1_56
| ~ spl1_66
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f8237,f6037,f1253,f1013]) ).
thf(f8237,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_66
| ~ spl1_120 ),
inference(backward_demodulation,[],[f1254,f6038]) ).
thf(f1254,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_66 ),
inference(avatar_component_clause,[],[f1253]) ).
thf(f8236,plain,
( spl1_116
| spl1_131
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6436,f6134,f6218,f5983]) ).
thf(f6134,plain,
( spl1_125
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_125])]) ).
thf(f6436,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6407]) ).
thf(f6407,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f6135,f3802]) ).
thf(f3802,plain,
! [X0: int,X1: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f3801]) ).
thf(f3801,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( X0 = X1 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(superposition,[],[f3644,f110]) ).
thf(f6135,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(avatar_component_clause,[],[f6134]) ).
thf(f8235,plain,
( spl1_116
| spl1_131
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6435,f6134,f6218,f5983]) ).
thf(f6435,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6408]) ).
thf(f6408,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f6135,f3802]) ).
thf(f8234,plain,
( spl1_131
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6425,f6134,f5983,f6218]) ).
thf(f6425,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6418]) ).
thf(f6418,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f3644,f6135]) ).
thf(f8233,plain,
( spl1_116
| spl1_131
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6423,f6134,f6218,f5983]) ).
thf(f6423,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6420]) ).
thf(f6420,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f3802,f6135]) ).
thf(f8232,plain,
( spl1_116
| spl1_131
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6422,f6134,f6218,f5983]) ).
thf(f6422,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6421]) ).
thf(f6421,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f3802,f6135]) ).
thf(f8231,plain,
( spl1_129
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6439,f6134,f5983,f6205]) ).
thf(f6439,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6404]) ).
thf(f6404,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f6135,f5046]) ).
thf(f8230,plain,
( spl1_129
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6432,f6134,f5983,f6205]) ).
thf(f6432,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6411]) ).
thf(f6411,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f5046,f6135]) ).
thf(f8229,plain,
( spl1_129
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6431,f6134,f5983,f6205]) ).
thf(f6431,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6412]) ).
thf(f6412,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f5513,f6135]) ).
thf(f5513,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f5512]) ).
thf(f5512,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(duplicate_literal_removal,[],[f5489]) ).
thf(f5489,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( zero_zero_int = X0 ) ),
inference(superposition,[],[f381,f5218]) ).
thf(f8228,plain,
( spl1_116
| spl1_129
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6505,f6213,f6205,f5983]) ).
thf(f6213,plain,
( spl1_130
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_130])]) ).
thf(f6505,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6477]) ).
thf(f6477,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f6215,f5216]) ).
thf(f6215,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_130 ),
inference(avatar_component_clause,[],[f6213]) ).
thf(f8227,plain,
( spl1_116
| spl1_129
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6498,f6213,f6205,f5983]) ).
thf(f6498,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6488]) ).
thf(f6488,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f5216,f6215]) ).
thf(f8226,plain,
( spl1_116
| spl1_127
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6440,f6134,f6192,f5983]) ).
thf(f6440,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6403]) ).
thf(f6403,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f6135,f3815]) ).
thf(f8225,plain,
( spl1_127
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6434,f6134,f5983,f6192]) ).
thf(f6434,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6409]) ).
thf(f6409,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_125 ),
inference(superposition,[],[f3657,f6135]) ).
thf(f3657,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f3620]) ).
thf(f3620,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f381,f1671]) ).
thf(f8224,plain,
( spl1_116
| spl1_127
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6433,f6134,f6192,f5983]) ).
thf(f6433,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6410]) ).
thf(f6410,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f3815,f6135]) ).
thf(f8223,plain,
( spl1_127
| spl1_116
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6504,f6213,f5983,f6192]) ).
thf(f6504,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6478]) ).
thf(f6478,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_130 ),
inference(superposition,[],[f6215,f2647]) ).
thf(f2647,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f2491]) ).
thf(f2491,plain,
! [X0: int] :
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),one_one_int) ) ),
inference(superposition,[],[f374,f1429]) ).
thf(f8222,plain,
( spl1_127
| spl1_116
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6499,f6213,f5983,f6192]) ).
thf(f6499,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6487]) ).
thf(f6487,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_130 ),
inference(superposition,[],[f2647,f6215]) ).
thf(f8221,plain,
( spl1_126
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6437,f6134,f5983,f6141]) ).
thf(f6141,plain,
( spl1_126
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_126])]) ).
thf(f6437,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6406]) ).
thf(f6406,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f6135,f2657]) ).
thf(f2657,plain,
! [X0: int,X1: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $true ) ),
inference(trivial_inequality_removal,[],[f2481]) ).
thf(f2481,plain,
! [X0: int,X1: int] :
( ( $true = $false )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) = $true )
| ( X0 = X1 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) ) ),
inference(superposition,[],[f374,f1360]) ).
thf(f8220,plain,
( spl1_126
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6429,f6134,f5983,f6141]) ).
thf(f6429,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6414]) ).
thf(f6414,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f400,f6135]) ).
thf(f400,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f8219,plain,
( spl1_126
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6426,f6134,f5983,f6141]) ).
thf(f6426,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6417]) ).
thf(f6417,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_125 ),
inference(superposition,[],[f2657,f6135]) ).
thf(f8218,plain,
( spl1_116
| spl1_126
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6503,f6213,f6141,f5983]) ).
thf(f6503,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6479]) ).
thf(f6479,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f6215,f374]) ).
thf(f8217,plain,
( spl1_116
| spl1_126
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6502,f6213,f6141,f5983]) ).
thf(f6502,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6480]) ).
thf(f6480,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f6215,f374]) ).
thf(f8216,plain,
( spl1_116
| spl1_126
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6497,f6213,f6141,f5983]) ).
thf(f6497,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6489]) ).
thf(f6489,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f374,f6215]) ).
thf(f8215,plain,
( spl1_116
| spl1_126
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f6496,f6213,f6141,f5983]) ).
thf(f6496,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(trivial_inequality_removal,[],[f6490]) ).
thf(f6490,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_130 ),
inference(superposition,[],[f374,f6215]) ).
thf(f8214,plain,
( ~ spl1_55
| spl1_116
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f6430,f6134,f5983,f1009]) ).
thf(f6430,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_125 ),
inference(trivial_inequality_removal,[],[f6413]) ).
thf(f6413,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_125 ),
inference(superposition,[],[f381,f6135]) ).
thf(f8213,plain,
( spl1_116
| ~ spl1_109
| ~ spl1_155 ),
inference(avatar_split_clause,[],[f8101,f7302,f5886,f5983]) ).
thf(f7302,plain,
( spl1_155
<=> ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_155])]) ).
thf(f8101,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_109
| ~ spl1_155 ),
inference(trivial_inequality_removal,[],[f8097]) ).
thf(f8097,plain,
( ( zero_zero_int != zero_zero_int )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_109
| ~ spl1_155 ),
inference(superposition,[],[f5893,f7304]) ).
thf(f7304,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_155 ),
inference(avatar_component_clause,[],[f7302]) ).
thf(f5893,plain,
( ! [X0: int] :
( ( zero_zero_int != vAPP(int,int,bit0,X0) )
| ( zero_zero_int = X0 ) )
| ~ spl1_109 ),
inference(superposition,[],[f388,f5888]) ).
thf(f388,plain,
! [X0: int,X1: int] :
( ( vAPP(int,int,bit0,X0) != vAPP(int,int,bit0,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f305]) ).
thf(f305,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,int,bit0,X0) = vAPP(int,int,bit0,X1) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( vAPP(int,int,bit0,X0) != vAPP(int,int,bit0,X1) ) ) ),
inference(nnf_transformation,[],[f257]) ).
thf(f257,plain,
! [X0: int,X1: int] :
( ( vAPP(int,int,bit0,X0) = vAPP(int,int,bit0,X1) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f96]) ).
thf(f96,axiom,
! [X13: int,X16: int] :
( ( vAPP(int,int,bit0,X13) = vAPP(int,int,bit0,X16) )
<=> ( X13 = X16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_rel__simps_I48_J) ).
thf(f8212,plain,
( spl1_55
| ~ spl1_56
| ~ spl1_42
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f6712,f928,f858,f1013,f1009]) ).
thf(f6712,plain,
( ( one_one_nat != zero_zero_nat )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_42
| ~ spl1_44 ),
inference(superposition,[],[f864,f930]) ).
thf(f864,plain,
( ! [X0: int] :
( ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f343,f860]) ).
thf(f343,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),pls) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,X0) ) ),
inference(cnf_transformation,[],[f298]) ).
thf(f8211,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8210,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8209,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8208,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8207,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8206,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8205,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8204,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8203,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8202,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8201,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8200,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8199,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8198,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8197,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8196,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8195,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8194,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8193,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8192,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8191,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8190,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8189,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8188,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8187,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8186,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8185,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8184,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8183,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8182,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8181,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8180,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8179,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8178,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8177,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8176,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8175,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8174,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8173,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8172,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8171,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8170,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8169,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8168,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8167,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8166,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8165,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8164,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8163,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8162,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8161,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8160,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8159,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8158,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8157,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8156,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8155,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8154,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8153,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8152,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8151,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8150,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8149,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8148,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8147,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8146,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8145,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8144,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8143,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8142,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8141,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8140,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8139,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8138,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8137,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8136,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8135,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8134,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8133,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8132,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8131,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8130,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8129,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8128,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8127,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8126,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8125,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8124,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8123,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8122,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = zero_zero_nat ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8121,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8120,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8119,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8118,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8117,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8116,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8115,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8114,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8113,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) )
| ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8112,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = vAPP(int,nat,number_number_of_nat,t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8111,plain,
( ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) )
| ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8110,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8109,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8108,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8107,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8106,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8105,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8103,plain,
( ~ spl1_109
| spl1_116
| ~ spl1_155 ),
inference(avatar_contradiction_clause,[],[f8102]) ).
thf(f8102,plain,
( $false
| ~ spl1_109
| spl1_116
| ~ spl1_155 ),
inference(subsumption_resolution,[],[f8101,f5984]) ).
thf(f8091,plain,
( spl1_186
| ~ spl1_66
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f8084,f5933,f1253,f8088]) ).
thf(f5933,plain,
( spl1_113
<=> ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_113])]) ).
thf(f8084,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_66
| ~ spl1_113 ),
inference(backward_demodulation,[],[f5935,f1254]) ).
thf(f5935,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_113 ),
inference(avatar_component_clause,[],[f5933]) ).
thf(f8055,plain,
( spl1_66
| ~ spl1_43
| ~ spl1_45
| ~ spl1_155 ),
inference(avatar_split_clause,[],[f8054,f7302,f933,f923,f1253]) ).
thf(f8054,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_43
| ~ spl1_45
| ~ spl1_155 ),
inference(forward_demodulation,[],[f8041,f925]) ).
thf(f8041,plain,
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_45
| ~ spl1_155 ),
inference(backward_demodulation,[],[f935,f7304]) ).
thf(f8039,plain,
( spl1_185
| ~ spl1_99
| ~ spl1_173 ),
inference(avatar_split_clause,[],[f8038,f7437,f5808,f8034]) ).
thf(f8034,plain,
( spl1_185
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_185])]) ).
thf(f5808,plain,
( spl1_99
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_99])]) ).
thf(f8038,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_99
| ~ spl1_173 ),
inference(backward_demodulation,[],[f5810,f7439]) ).
thf(f5810,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_99 ),
inference(avatar_component_clause,[],[f5808]) ).
thf(f8037,plain,
( spl1_185
| ~ spl1_100
| ~ spl1_174 ),
inference(avatar_split_clause,[],[f8032,f7442,f5816,f8034]) ).
thf(f5816,plain,
( spl1_100
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_100])]) ).
thf(f8032,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_100
| ~ spl1_174 ),
inference(backward_demodulation,[],[f5818,f7444]) ).
thf(f5818,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_100 ),
inference(avatar_component_clause,[],[f5816]) ).
thf(f8031,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8030,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8029,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8028,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8027,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8026,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8025,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8024,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8023,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8022,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8021,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8020,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8019,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8018,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8017,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8016,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8015,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8014,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8013,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8012,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8011,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8010,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8009,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8008,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8007,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8006,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8005,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8004,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8003,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8002,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8001,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f8000,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7999,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7998,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7997,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7996,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7995,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7994,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7993,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7992,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7991,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7990,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7989,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7988,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7987,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7986,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7985,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7984,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7983,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7982,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7981,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7980,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7979,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7978,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7977,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7976,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7975,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7974,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7973,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7972,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7971,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7970,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7969,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7968,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7967,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7966,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7965,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7964,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7963,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7962,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7961,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7960,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7959,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7958,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7957,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7956,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7955,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7954,plain,
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7953,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7952,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7951,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7950,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7949,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7948,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7947,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7946,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7945,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7944,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7943,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7942,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7941,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7940,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7939,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7938,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7937,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7936,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7935,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7934,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7933,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7932,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7931,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7930,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7929,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = one_one_int ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7928,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7927,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7926,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7925,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7924,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7923,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7922,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7921,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7920,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7919,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7918,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7917,plain,
( ( one_one_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7916,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7915,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7914,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7913,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7912,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7911,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7910,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7909,plain,
( spl1_184
| spl1_65 ),
inference(avatar_split_clause,[],[f7871,f1249,f7906]) ).
thf(f7906,plain,
( spl1_184
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_184])]) ).
thf(f1249,plain,
( spl1_65
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).
thf(f7871,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7870]) ).
thf(f7870,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| spl1_65 ),
inference(superposition,[],[f1250,f110]) ).
thf(f1250,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| spl1_65 ),
inference(avatar_component_clause,[],[f1249]) ).
thf(f7904,plain,
( spl1_183
| spl1_65 ),
inference(avatar_split_clause,[],[f7872,f1249,f7901]) ).
thf(f7901,plain,
( spl1_183
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_183])]) ).
thf(f7872,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7865]) ).
thf(f7865,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| spl1_65 ),
inference(superposition,[],[f1250,f1091]) ).
thf(f7899,plain,
( spl1_179
| spl1_65 ),
inference(avatar_split_clause,[],[f7873,f1249,f7837]) ).
thf(f7837,plain,
( spl1_179
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_179])]) ).
thf(f7873,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7864]) ).
thf(f7864,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(superposition,[],[f1250,f647]) ).
thf(f7898,plain,
( spl1_178
| spl1_65 ),
inference(avatar_split_clause,[],[f7874,f1249,f7830]) ).
thf(f7830,plain,
( spl1_178
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_178])]) ).
thf(f7874,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7863]) ).
thf(f7863,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(superposition,[],[f1250,f375]) ).
thf(f7897,plain,
( spl1_178
| spl1_65 ),
inference(avatar_split_clause,[],[f7875,f1249,f7830]) ).
thf(f7875,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7862]) ).
thf(f7862,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65 ),
inference(superposition,[],[f1250,f375]) ).
thf(f7896,plain,
( spl1_182
| spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7891,f7302,f1249,f7893]) ).
thf(f7893,plain,
( spl1_182
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_182])]) ).
thf(f7891,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7876,f7303]) ).
thf(f7303,plain,
( ( zero_zero_int != vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_155 ),
inference(avatar_component_clause,[],[f7302]) ).
thf(f7876,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7861]) ).
thf(f7861,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65 ),
inference(superposition,[],[f1250,f5218]) ).
thf(f7890,plain,
( spl1_181
| spl1_65
| ~ spl1_153 ),
inference(avatar_split_clause,[],[f7885,f7292,f1249,f7887]) ).
thf(f7292,plain,
( spl1_153
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_153])]) ).
thf(f7885,plain,
( ( one_one_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65
| ~ spl1_153 ),
inference(trivial_inequality_removal,[],[f7884]) ).
thf(f7884,plain,
( ( $true = $false )
| ( one_one_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65
| ~ spl1_153 ),
inference(forward_demodulation,[],[f7877,f7294]) ).
thf(f7294,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_153 ),
inference(avatar_component_clause,[],[f7292]) ).
thf(f7877,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( one_one_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7860]) ).
thf(f7860,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( one_one_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| spl1_65 ),
inference(superposition,[],[f1250,f4445]) ).
thf(f7883,plain,
( spl1_180
| spl1_65 ),
inference(avatar_split_clause,[],[f7878,f1249,f7880]) ).
thf(f7880,plain,
( spl1_180
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_180])]) ).
thf(f7878,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| spl1_65 ),
inference(trivial_inequality_removal,[],[f7857]) ).
thf(f7857,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| spl1_65 ),
inference(superposition,[],[f1250,f1671]) ).
thf(f7853,plain,
( spl1_177
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7852,f7302,f1249,f7810]) ).
thf(f7810,plain,
( spl1_177
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_177])]) ).
thf(f7852,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7762,f7303]) ).
thf(f7762,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7761]) ).
thf(f7761,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f3802,f1251]) ).
thf(f1251,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(avatar_component_clause,[],[f1249]) ).
thf(f7851,plain,
( spl1_177
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7850,f7302,f1249,f7810]) ).
thf(f7850,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7763,f7303]) ).
thf(f7763,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7760]) ).
thf(f7760,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f3802,f1251]) ).
thf(f7849,plain,
( ~ spl1_65
| spl1_112
| spl1_155 ),
inference(avatar_contradiction_clause,[],[f7848]) ).
thf(f7848,plain,
( $false
| ~ spl1_65
| spl1_112
| spl1_155 ),
inference(subsumption_resolution,[],[f7847,f5930]) ).
thf(f5930,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_112 ),
inference(avatar_component_clause,[],[f5929]) ).
thf(f7847,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7764,f7303]) ).
thf(f7764,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7759]) ).
thf(f7759,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f3663,f1251]) ).
thf(f3663,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f3612]) ).
thf(f3612,plain,
! [X0: int,X1: int] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X1),X0) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $false ) ),
inference(superposition,[],[f381,f1091]) ).
thf(f7846,plain,
( spl1_177
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7845,f7302,f1249,f7810]) ).
thf(f7845,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7765,f7303]) ).
thf(f7765,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7758]) ).
thf(f7758,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f3644,f1251]) ).
thf(f7844,plain,
( spl1_156
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7843,f7302,f1249,f7306]) ).
thf(f7306,plain,
( spl1_156
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_156])]) ).
thf(f7843,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7766,f7303]) ).
thf(f7766,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7757]) ).
thf(f7757,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(superposition,[],[f2657,f1251]) ).
thf(f7842,plain,
( ~ spl1_65
| spl1_112 ),
inference(avatar_contradiction_clause,[],[f7841]) ).
thf(f7841,plain,
( $false
| ~ spl1_65
| spl1_112 ),
inference(subsumption_resolution,[],[f7767,f5930]) ).
thf(f7767,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7756]) ).
thf(f7756,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f1360,f1251]) ).
thf(f7840,plain,
( ~ spl1_179
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f7768,f1249,f7837]) ).
thf(f7768,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7755]) ).
thf(f7755,plain,
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f651,f1251]) ).
thf(f7835,plain,
( spl1_156
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7834,f7302,f1249,f7306]) ).
thf(f7834,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7769,f7303]) ).
thf(f7769,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7754]) ).
thf(f7754,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(superposition,[],[f400,f1251]) ).
thf(f7833,plain,
( ~ spl1_178
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7828,f7302,f1249,f7830]) ).
thf(f7828,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7770,f7303]) ).
thf(f7770,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7753]) ).
thf(f7753,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f381,f1251]) ).
thf(f7827,plain,
( spl1_176
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7826,f7302,f1249,f7800]) ).
thf(f7800,plain,
( spl1_176
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_176])]) ).
thf(f7826,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7771,f7303]) ).
thf(f7771,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7752]) ).
thf(f7752,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f3811,f1251]) ).
thf(f3811,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 ) ),
inference(trivial_inequality_removal,[],[f3789]) ).
thf(f3789,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(superposition,[],[f3644,f1811]) ).
thf(f7825,plain,
( spl1_175
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7824,f7302,f1249,f7794]) ).
thf(f7794,plain,
( spl1_175
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_175])]) ).
thf(f7824,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7772,f7303]) ).
thf(f7772,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7751]) ).
thf(f7751,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(superposition,[],[f3810,f1251]) ).
thf(f3810,plain,
! [X0: int] :
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f3790]) ).
thf(f3790,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(superposition,[],[f3644,f1794]) ).
thf(f7823,plain,
( spl1_176
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7822,f7302,f1249,f7800]) ).
thf(f7822,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7773,f7303]) ).
thf(f7773,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7750]) ).
thf(f7750,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f3653,f1251]) ).
thf(f3653,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(trivial_inequality_removal,[],[f3631]) ).
thf(f3631,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),X0) ) ),
inference(superposition,[],[f381,f1811]) ).
thf(f7821,plain,
( spl1_175
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7820,f7302,f1249,f7794]) ).
thf(f7820,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7774,f7303]) ).
thf(f7774,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7749]) ).
thf(f7749,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(superposition,[],[f3652,f1251]) ).
thf(f3652,plain,
! [X0: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( zero_zero_int = X0 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(trivial_inequality_removal,[],[f3632]) ).
thf(f3632,plain,
! [X0: int] :
( ( $true != $true )
| ( zero_zero_int = X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),one_one_int) ) ),
inference(superposition,[],[f381,f1794]) ).
thf(f7819,plain,
( ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(avatar_contradiction_clause,[],[f7818]) ).
thf(f7818,plain,
( $false
| ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(subsumption_resolution,[],[f7779,f7288]) ).
thf(f7288,plain,
( ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| spl1_152 ),
inference(avatar_component_clause,[],[f7287]) ).
thf(f7779,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7744]) ).
thf(f7744,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(superposition,[],[f1019,f1251]) ).
thf(f7817,plain,
( ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(avatar_contradiction_clause,[],[f7816]) ).
thf(f7816,plain,
( $false
| ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(subsumption_resolution,[],[f7780,f7288]) ).
thf(f7780,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7743]) ).
thf(f7743,plain,
( ( $true != $true )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(superposition,[],[f865,f1251]) ).
thf(f7815,plain,
( spl1_177
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7814,f7302,f1249,f7810]) ).
thf(f7814,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7781,f7303]) ).
thf(f7781,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7742]) ).
thf(f7742,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f3802]) ).
thf(f7813,plain,
( spl1_177
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7808,f7302,f1249,f7810]) ).
thf(f7808,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7782,f7303]) ).
thf(f7782,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7741]) ).
thf(f7741,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f3802]) ).
thf(f7807,plain,
( spl1_156
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7806,f7302,f1249,f7306]) ).
thf(f7806,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7783,f7303]) ).
thf(f7783,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7740]) ).
thf(f7740,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f2657]) ).
thf(f7805,plain,
( ~ spl1_65
| spl1_112 ),
inference(avatar_contradiction_clause,[],[f7804]) ).
thf(f7804,plain,
( $false
| ~ spl1_65
| spl1_112 ),
inference(subsumption_resolution,[],[f7784,f5930]) ).
thf(f7784,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7739]) ).
thf(f7739,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f1360]) ).
thf(f7803,plain,
( spl1_176
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7798,f7302,f1249,f7800]) ).
thf(f7798,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7785,f7303]) ).
thf(f7785,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7738]) ).
thf(f7738,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f3811]) ).
thf(f7797,plain,
( spl1_175
| ~ spl1_65
| spl1_155 ),
inference(avatar_split_clause,[],[f7792,f7302,f1249,f7794]) ).
thf(f7792,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65
| spl1_155 ),
inference(subsumption_resolution,[],[f7786,f7303]) ).
thf(f7786,plain,
( ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7737]) ).
thf(f7737,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_65 ),
inference(superposition,[],[f1251,f3810]) ).
thf(f7791,plain,
( ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(avatar_contradiction_clause,[],[f7790]) ).
thf(f7790,plain,
( $false
| ~ spl1_42
| ~ spl1_65
| spl1_152 ),
inference(subsumption_resolution,[],[f7789,f7288]) ).
thf(f7789,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(trivial_inequality_removal,[],[f7734]) ).
thf(f7734,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_65 ),
inference(superposition,[],[f1251,f1019]) ).
thf(f7445,plain,
( spl1_174
| ~ spl1_66
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f7353,f5816,f1253,f7442]) ).
thf(f7353,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_66
| ~ spl1_100 ),
inference(backward_demodulation,[],[f5818,f1254]) ).
thf(f7440,plain,
( spl1_173
| ~ spl1_66
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f7352,f5808,f1253,f7437]) ).
thf(f7352,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_66
| ~ spl1_99 ),
inference(backward_demodulation,[],[f5810,f1254]) ).
thf(f7435,plain,
( ~ spl1_172
| ~ spl1_66
| spl1_90 ),
inference(avatar_split_clause,[],[f7351,f3217,f1253,f7432]) ).
thf(f3217,plain,
( spl1_90
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_90])]) ).
thf(f7351,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) )
| ~ spl1_66
| spl1_90 ),
inference(backward_demodulation,[],[f3218,f1254]) ).
thf(f3218,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| spl1_90 ),
inference(avatar_component_clause,[],[f3217]) ).
thf(f7430,plain,
( spl1_171
| ~ spl1_66
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f7350,f3156,f1253,f7427]) ).
thf(f3156,plain,
( spl1_89
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_89])]) ).
thf(f7350,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) )
| ~ spl1_66
| ~ spl1_89 ),
inference(backward_demodulation,[],[f3158,f1254]) ).
thf(f3158,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_89 ),
inference(avatar_component_clause,[],[f3156]) ).
thf(f7425,plain,
( spl1_170
| ~ spl1_66
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f7349,f2887,f1253,f7422]) ).
thf(f2887,plain,
( spl1_82
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).
thf(f7349,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_66
| ~ spl1_82 ),
inference(backward_demodulation,[],[f2889,f1254]) ).
thf(f2889,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_82 ),
inference(avatar_component_clause,[],[f2887]) ).
thf(f7420,plain,
( spl1_169
| ~ spl1_66
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f7348,f2881,f1253,f7417]) ).
thf(f2881,plain,
( spl1_81
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_81])]) ).
thf(f7348,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_66
| ~ spl1_81 ),
inference(backward_demodulation,[],[f2883,f1254]) ).
thf(f2883,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_81 ),
inference(avatar_component_clause,[],[f2881]) ).
thf(f7415,plain,
( ~ spl1_168
| ~ spl1_66
| spl1_80 ),
inference(avatar_split_clause,[],[f7347,f2877,f1253,f7412]) ).
thf(f2877,plain,
( spl1_80
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_80])]) ).
thf(f7347,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_66
| spl1_80 ),
inference(backward_demodulation,[],[f2878,f1254]) ).
thf(f2878,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| spl1_80 ),
inference(avatar_component_clause,[],[f2877]) ).
thf(f7410,plain,
( ~ spl1_167
| ~ spl1_66
| spl1_79 ),
inference(avatar_split_clause,[],[f7346,f2768,f1253,f7407]) ).
thf(f2768,plain,
( spl1_79
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).
thf(f7346,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)),one_one_int) )
| ~ spl1_66
| spl1_79 ),
inference(backward_demodulation,[],[f2769,f1254]) ).
thf(f2769,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| spl1_79 ),
inference(avatar_component_clause,[],[f2768]) ).
thf(f7405,plain,
( spl1_166
| ~ spl1_66
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f7345,f2745,f1253,f7402]) ).
thf(f2745,plain,
( spl1_78
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).
thf(f7345,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) )
| ~ spl1_66
| ~ spl1_78 ),
inference(backward_demodulation,[],[f2747,f1254]) ).
thf(f2747,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_78 ),
inference(avatar_component_clause,[],[f2745]) ).
thf(f7400,plain,
( spl1_165
| ~ spl1_66
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f7344,f2740,f1253,f7397]) ).
thf(f2740,plain,
( spl1_77
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).
thf(f7344,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),one_one_int) )
| ~ spl1_66
| ~ spl1_77 ),
inference(backward_demodulation,[],[f2742,f1254]) ).
thf(f2742,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_77 ),
inference(avatar_component_clause,[],[f2740]) ).
thf(f7395,plain,
( spl1_164
| ~ spl1_66
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f7343,f2665,f1253,f7392]) ).
thf(f2665,plain,
( spl1_74
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).
thf(f7343,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_66
| ~ spl1_74 ),
inference(backward_demodulation,[],[f2667,f1254]) ).
thf(f2667,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_74 ),
inference(avatar_component_clause,[],[f2665]) ).
thf(f7390,plain,
( ~ spl1_163
| ~ spl1_66
| spl1_73 ),
inference(avatar_split_clause,[],[f7342,f2661,f1253,f7387]) ).
thf(f2661,plain,
( spl1_73
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).
thf(f7342,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat)) )
| ~ spl1_66
| spl1_73 ),
inference(backward_demodulation,[],[f2662,f1254]) ).
thf(f2662,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| spl1_73 ),
inference(avatar_component_clause,[],[f2661]) ).
thf(f7385,plain,
( spl1_162
| ~ spl1_60
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7341,f1253,f1135,f7382]) ).
thf(f1135,plain,
( spl1_60
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
thf(f7341,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))) )
| ~ spl1_60
| ~ spl1_66 ),
inference(backward_demodulation,[],[f1137,f1254]) ).
thf(f1137,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_60 ),
inference(avatar_component_clause,[],[f1135]) ).
thf(f7380,plain,
( spl1_161
| ~ spl1_54
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7340,f1253,f998,f7377]) ).
thf(f998,plain,
( spl1_54
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
thf(f7340,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),zero_zero_nat))),zero_zero_int) )
| ~ spl1_54
| ~ spl1_66 ),
inference(backward_demodulation,[],[f1000,f1254]) ).
thf(f1000,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_54 ),
inference(avatar_component_clause,[],[f998]) ).
thf(f7375,plain,
( spl1_160
| ~ spl1_36
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7339,f1253,f791,f7372]) ).
thf(f791,plain,
( spl1_36
<=> ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
thf(f7339,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),zero_zero_nat) )
| ~ spl1_36
| ~ spl1_66 ),
inference(backward_demodulation,[],[f793,f1254]) ).
thf(f793,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_36 ),
inference(avatar_component_clause,[],[f791]) ).
thf(f7370,plain,
( spl1_159
| ~ spl1_35
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7338,f1253,f785,f7367]) ).
thf(f785,plain,
( spl1_35
<=> ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
thf(f7338,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),zero_zero_nat) )
| ~ spl1_35
| ~ spl1_66 ),
inference(backward_demodulation,[],[f787,f1254]) ).
thf(f787,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_35 ),
inference(avatar_component_clause,[],[f785]) ).
thf(f7365,plain,
( spl1_158
| ~ spl1_34
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7337,f1253,f779,f7362]) ).
thf(f779,plain,
( spl1_34
<=> ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
thf(f7337,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),zero_zero_nat) )
| ~ spl1_34
| ~ spl1_66 ),
inference(backward_demodulation,[],[f781,f1254]) ).
thf(f781,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_34 ),
inference(avatar_component_clause,[],[f779]) ).
thf(f7360,plain,
( spl1_157
| ~ spl1_33
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f7336,f1253,f773,f7357]) ).
thf(f773,plain,
( spl1_33
<=> ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
thf(f7336,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),zero_zero_nat) )
| ~ spl1_33
| ~ spl1_66 ),
inference(backward_demodulation,[],[f775,f1254]) ).
thf(f775,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_33 ),
inference(avatar_component_clause,[],[f773]) ).
thf(f7324,plain,
( spl1_66
| ~ spl1_43
| ~ spl1_45
| ~ spl1_155 ),
inference(avatar_split_clause,[],[f7323,f7302,f933,f923,f1253]) ).
thf(f7323,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_43
| ~ spl1_45
| ~ spl1_155 ),
inference(forward_demodulation,[],[f7319,f925]) ).
thf(f7319,plain,
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_45
| ~ spl1_155 ),
inference(backward_demodulation,[],[f935,f7304]) ).
thf(f7318,plain,
( ( zero_zero_int != pls )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f7317,plain,
( spl1_65
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7273,f5929,f1249]) ).
thf(f7273,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7270]) ).
thf(f7270,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_112 ),
inference(superposition,[],[f647,f5931]) ).
thf(f7316,plain,
( spl1_155
| spl1_156
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7274,f5929,f7306,f7302]) ).
thf(f7274,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7268]) ).
thf(f7268,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(superposition,[],[f374,f5931]) ).
thf(f7315,plain,
( spl1_155
| spl1_156
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7275,f5929,f7306,f7302]) ).
thf(f7275,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7267]) ).
thf(f7267,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(superposition,[],[f374,f5931]) ).
thf(f7314,plain,
( spl1_153
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7276,f5929,f7292]) ).
thf(f7276,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7263]) ).
thf(f7263,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_112 ),
inference(superposition,[],[f1345,f5931]) ).
thf(f7313,plain,
( spl1_154
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7277,f5929,f7297]) ).
thf(f7297,plain,
( spl1_154
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_154])]) ).
thf(f7277,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7262]) ).
thf(f7262,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_112 ),
inference(superposition,[],[f1290,f5931]) ).
thf(f7312,plain,
( spl1_152
| ~ spl1_42
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7278,f5929,f858,f7287]) ).
thf(f7278,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7261]) ).
thf(f7261,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_112 ),
inference(superposition,[],[f1131,f5931]) ).
thf(f7311,plain,
( spl1_65
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7280,f5929,f1249]) ).
thf(f7280,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7259]) ).
thf(f7259,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_112 ),
inference(superposition,[],[f5931,f647]) ).
thf(f7310,plain,
( spl1_155
| spl1_156
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7281,f5929,f7306,f7302]) ).
thf(f7281,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7258]) ).
thf(f7258,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(superposition,[],[f5931,f374]) ).
thf(f7309,plain,
( spl1_155
| spl1_156
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7282,f5929,f7306,f7302]) ).
thf(f7282,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7257]) ).
thf(f7257,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_112 ),
inference(superposition,[],[f5931,f374]) ).
thf(f7300,plain,
( spl1_154
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7283,f5929,f7297]) ).
thf(f7283,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7256]) ).
thf(f7256,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),one_one_int) )
| ~ spl1_112 ),
inference(superposition,[],[f5931,f1290]) ).
thf(f7295,plain,
( spl1_153
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7284,f5929,f7292]) ).
thf(f7284,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7255]) ).
thf(f7255,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_112 ),
inference(superposition,[],[f5931,f1345]) ).
thf(f7290,plain,
( spl1_152
| ~ spl1_42
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f7285,f5929,f858,f7287]) ).
thf(f7285,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_112 ),
inference(trivial_inequality_removal,[],[f7254]) ).
thf(f7254,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_112 ),
inference(superposition,[],[f5931,f1131]) ).
thf(f6561,plain,
( spl1_151
| spl1_114 ),
inference(avatar_split_clause,[],[f6553,f5970,f6558]) ).
thf(f6553,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_114 ),
inference(trivial_inequality_removal,[],[f6550]) ).
thf(f6550,plain,
( ( $false != $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_114 ),
inference(superposition,[],[f5971,f1360]) ).
thf(f5971,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_114 ),
inference(avatar_component_clause,[],[f5970]) ).
thf(f6383,plain,
( spl1_128
| spl1_150
| spl1_55 ),
inference(avatar_split_clause,[],[f6189,f1009,f6380,f6199]) ).
thf(f6189,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6172]) ).
thf(f6172,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55 ),
inference(superposition,[],[f1010,f4445]) ).
thf(f1010,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_55 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f6373,plain,
( spl1_149
| ~ spl1_112
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6261,f6199,f5929,f6370]) ).
thf(f6370,plain,
( spl1_149
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_149])]) ).
thf(f6261,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,one_one_int)) )
| ~ spl1_112
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5931,f6201]) ).
thf(f6201,plain,
( ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_128 ),
inference(avatar_component_clause,[],[f6199]) ).
thf(f6368,plain,
( ~ spl1_148
| spl1_108
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6363,f6199,f5880,f6365]) ).
thf(f6365,plain,
( spl1_148
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_148])]) ).
thf(f6363,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| spl1_108
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6255,f339]) ).
thf(f6255,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| spl1_108
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5882,f6201]) ).
thf(f6362,plain,
( ~ spl1_147
| spl1_107
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6357,f6199,f5872,f6359]) ).
thf(f6359,plain,
( spl1_147
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_147])]) ).
thf(f6357,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| spl1_107
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6254,f339]) ).
thf(f6254,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| spl1_107
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5874,f6201]) ).
thf(f6356,plain,
( ~ spl1_146
| spl1_106
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6351,f6199,f5864,f6353]) ).
thf(f6353,plain,
( spl1_146
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_146])]) ).
thf(f6351,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| spl1_106
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6253,f339]) ).
thf(f6253,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| spl1_106
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5866,f6201]) ).
thf(f6350,plain,
( ~ spl1_145
| spl1_105
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6345,f6199,f5856,f6347]) ).
thf(f6347,plain,
( spl1_145
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_145])]) ).
thf(f6345,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),t) )
| spl1_105
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6252,f339]) ).
thf(f6252,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),t) )
| spl1_105
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5858,f6201]) ).
thf(f6344,plain,
( ~ spl1_144
| spl1_104
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6339,f6199,f5848,f6341]) ).
thf(f6341,plain,
( spl1_144
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_144])]) ).
thf(f6339,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),sK0) )
| spl1_104
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6251,f339]) ).
thf(f6251,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),sK0) )
| spl1_104
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5850,f6201]) ).
thf(f6338,plain,
( ~ spl1_143
| spl1_103
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6333,f6199,f5840,f6335]) ).
thf(f6335,plain,
( spl1_143
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_143])]) ).
thf(f6333,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| spl1_103
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6250,f339]) ).
thf(f6250,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| spl1_103
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5842,f6201]) ).
thf(f6332,plain,
( ~ spl1_142
| spl1_102
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6327,f6199,f5832,f6329]) ).
thf(f6329,plain,
( spl1_142
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_142])]) ).
thf(f6327,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),sK0) )
| spl1_102
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6249,f339]) ).
thf(f6249,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),sK0) )
| spl1_102
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5834,f6201]) ).
thf(f6326,plain,
( ~ spl1_141
| spl1_101
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6321,f6199,f5824,f6323]) ).
thf(f6323,plain,
( spl1_141
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_141])]) ).
thf(f6321,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),t) )
| spl1_101
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6248,f339]) ).
thf(f6248,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),t) )
| spl1_101
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5826,f6201]) ).
thf(f6320,plain,
( spl1_140
| ~ spl1_100
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6315,f6199,f5816,f6317]) ).
thf(f6317,plain,
( spl1_140
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_140])]) ).
thf(f6315,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ~ spl1_100
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6314,f365]) ).
thf(f6314,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),sK0) )
| ~ spl1_100
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6247,f339]) ).
thf(f6247,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),sK0) )
| ~ spl1_100
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5818,f6201]) ).
thf(f6313,plain,
( spl1_139
| ~ spl1_99
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6308,f6199,f5808,f6310]) ).
thf(f6310,plain,
( spl1_139
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_139])]) ).
thf(f6308,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ~ spl1_99
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6307,f365]) ).
thf(f6307,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))),t) )
| ~ spl1_99
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6246,f339]) ).
thf(f6246,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))),t) )
| ~ spl1_99
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5810,f6201]) ).
thf(f6306,plain,
( spl1_138
| ~ spl1_98
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6301,f6199,f5800,f6303]) ).
thf(f6303,plain,
( spl1_138
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_138])]) ).
thf(f6301,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))),zero_zero_int) )
| ~ spl1_98
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6245,f339]) ).
thf(f6245,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int)))))),zero_zero_int) )
| ~ spl1_98
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5802,f6201]) ).
thf(f6300,plain,
( spl1_137
| ~ spl1_97
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6295,f6199,f5792,f6297]) ).
thf(f6297,plain,
( spl1_137
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_137])]) ).
thf(f6295,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m))))) )
| ~ spl1_97
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6244,f339]) ).
thf(f6244,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int)))))) )
| ~ spl1_97
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5794,f6201]) ).
thf(f6294,plain,
( spl1_136
| ~ spl1_96
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6289,f6199,f5784,f6291]) ).
thf(f6291,plain,
( spl1_136
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_136])]) ).
thf(f6289,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ~ spl1_96
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6243,f339]) ).
thf(f6243,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| ~ spl1_96
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5786,f6201]) ).
thf(f6288,plain,
( spl1_135
| ~ spl1_95
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6283,f6199,f5776,f6285]) ).
thf(f6285,plain,
( spl1_135
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_135])]) ).
thf(f6283,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ~ spl1_95
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6242,f339]) ).
thf(f6242,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| ~ spl1_95
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5778,f6201]) ).
thf(f6282,plain,
( spl1_134
| ~ spl1_94
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6277,f6199,f5768,f6279]) ).
thf(f6279,plain,
( spl1_134
<=> ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_134])]) ).
thf(f6277,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,m)))) )
| ~ spl1_94
| ~ spl1_128 ),
inference(forward_demodulation,[],[f6241,f339]) ).
thf(f6241,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),one_one_int))))) )
| ~ spl1_94
| ~ spl1_128 ),
inference(backward_demodulation,[],[f5770,f6201]) ).
thf(f6276,plain,
( spl1_133
| ~ spl1_45
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6238,f6199,f933,f6273]) ).
thf(f6273,plain,
( spl1_133
<=> ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_133])]) ).
thf(f6238,plain,
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,one_one_int)) )
| ~ spl1_45
| ~ spl1_128 ),
inference(backward_demodulation,[],[f935,f6201]) ).
thf(f6271,plain,
( spl1_132
| ~ spl1_44
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f6237,f6199,f928,f6268]) ).
thf(f6268,plain,
( spl1_132
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_132])]) ).
thf(f6237,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,one_one_int) )
| ~ spl1_44
| ~ spl1_128 ),
inference(backward_demodulation,[],[f930,f6201]) ).
thf(f6231,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6230,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6229,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6228,plain,
( ( one_one_int != vAPP(int,int,bit1,zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6227,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6226,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6225,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6224,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6223,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6222,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6221,plain,
( spl1_131
| spl1_55 ),
inference(avatar_split_clause,[],[f6183,f1009,f6218]) ).
thf(f6183,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6182]) ).
thf(f6182,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_55 ),
inference(superposition,[],[f1010,f110]) ).
thf(f6216,plain,
( spl1_130
| spl1_55 ),
inference(avatar_split_clause,[],[f6184,f1009,f6213]) ).
thf(f6184,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6177]) ).
thf(f6177,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| spl1_55 ),
inference(superposition,[],[f1010,f1091]) ).
thf(f6211,plain,
( spl1_126
| spl1_55 ),
inference(avatar_split_clause,[],[f6185,f1009,f6141]) ).
thf(f6185,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6176]) ).
thf(f6176,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(superposition,[],[f1010,f647]) ).
thf(f6210,plain,
( spl1_125
| spl1_55 ),
inference(avatar_split_clause,[],[f6186,f1009,f6134]) ).
thf(f6186,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6175]) ).
thf(f6175,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(superposition,[],[f1010,f375]) ).
thf(f6209,plain,
( spl1_125
| spl1_55 ),
inference(avatar_split_clause,[],[f6187,f1009,f6134]) ).
thf(f6187,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6174]) ).
thf(f6174,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55 ),
inference(superposition,[],[f1010,f375]) ).
thf(f6208,plain,
( spl1_129
| spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6203,f5983,f1009,f6205]) ).
thf(f6203,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6188,f5984]) ).
thf(f6188,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6173]) ).
thf(f6173,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55 ),
inference(superposition,[],[f1010,f5218]) ).
thf(f6202,plain,
( spl1_128
| spl1_55
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f6197,f5970,f1009,f6199]) ).
thf(f6197,plain,
( ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55
| ~ spl1_114 ),
inference(trivial_inequality_removal,[],[f6196]) ).
thf(f6196,plain,
( ( $true = $false )
| ( one_one_int = vAPP(int,int,bit1,zero_zero_int) )
| spl1_55
| ~ spl1_114 ),
inference(forward_demodulation,[],[f6189,f5972]) ).
thf(f6195,plain,
( spl1_127
| spl1_55 ),
inference(avatar_split_clause,[],[f6190,f1009,f6192]) ).
thf(f6190,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_55 ),
inference(trivial_inequality_removal,[],[f6169]) ).
thf(f6169,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| spl1_55 ),
inference(superposition,[],[f1010,f1671]) ).
thf(f6160,plain,
( ( one_one_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( one_one_nat = zero_zero_nat ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6159,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,t) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6158,plain,
( ( zero_zero_int != pls )
| ( one_one_nat != vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( one_one_nat = zero_zero_nat ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6157,plain,
( spl1_124
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6156,f5983,f1009,f6118]) ).
thf(f6118,plain,
( spl1_124
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_124])]) ).
thf(f6156,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6075,f5984]) ).
thf(f6075,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6074]) ).
thf(f6074,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f3802,f1011]) ).
thf(f6155,plain,
( spl1_124
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6154,f5983,f1009,f6118]) ).
thf(f6154,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6076,f5984]) ).
thf(f6076,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6073]) ).
thf(f6073,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f3802,f1011]) ).
thf(f6153,plain,
( ~ spl1_55
| spl1_110
| spl1_116 ),
inference(avatar_contradiction_clause,[],[f6152]) ).
thf(f6152,plain,
( $false
| ~ spl1_55
| spl1_110
| spl1_116 ),
inference(subsumption_resolution,[],[f6151,f5921]) ).
thf(f6151,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6077,f5984]) ).
thf(f6077,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6072]) ).
thf(f6072,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f3663,f1011]) ).
thf(f6150,plain,
( spl1_124
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6149,f5983,f1009,f6118]) ).
thf(f6149,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6078,f5984]) ).
thf(f6078,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6071]) ).
thf(f6071,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f3644,f1011]) ).
thf(f6148,plain,
( spl1_117
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6147,f5983,f1009,f5987]) ).
thf(f5987,plain,
( spl1_117
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_117])]) ).
thf(f6147,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6079,f5984]) ).
thf(f6079,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6070]) ).
thf(f6070,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f2657,f1011]) ).
thf(f6146,plain,
( ~ spl1_55
| spl1_110 ),
inference(avatar_contradiction_clause,[],[f6145]) ).
thf(f6145,plain,
( $false
| ~ spl1_55
| spl1_110 ),
inference(subsumption_resolution,[],[f6080,f5921]) ).
thf(f6080,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6069]) ).
thf(f6069,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f1360,f1011]) ).
thf(f6144,plain,
( ~ spl1_126
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f6081,f1009,f6141]) ).
thf(f6081,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6068]) ).
thf(f6068,plain,
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f651,f1011]) ).
thf(f6139,plain,
( spl1_117
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6138,f5983,f1009,f5987]) ).
thf(f6138,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6082,f5984]) ).
thf(f6082,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6067]) ).
thf(f6067,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f400,f1011]) ).
thf(f6137,plain,
( ~ spl1_125
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6132,f5983,f1009,f6134]) ).
thf(f6132,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6083,f5984]) ).
thf(f6083,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6066]) ).
thf(f6066,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f381,f1011]) ).
thf(f6131,plain,
( spl1_123
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6130,f5983,f1009,f6108]) ).
thf(f6130,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6084,f5984]) ).
thf(f6084,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6065]) ).
thf(f6065,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f3811,f1011]) ).
thf(f6129,plain,
( spl1_122
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6128,f5983,f1009,f6102]) ).
thf(f6102,plain,
( spl1_122
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_122])]) ).
thf(f6128,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6085,f5984]) ).
thf(f6085,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6064]) ).
thf(f6064,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(superposition,[],[f3810,f1011]) ).
thf(f6127,plain,
( spl1_123
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6126,f5983,f1009,f6108]) ).
thf(f6126,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6086,f5984]) ).
thf(f6086,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6063]) ).
thf(f6063,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f3653,f1011]) ).
thf(f6125,plain,
( spl1_122
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6124,f5983,f1009,f6102]) ).
thf(f6124,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6087,f5984]) ).
thf(f6087,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6062]) ).
thf(f6062,plain,
( ( $true != $true )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(superposition,[],[f3652,f1011]) ).
thf(f6123,plain,
( spl1_124
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6122,f5983,f1009,f6118]) ).
thf(f6122,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6092,f5984]) ).
thf(f6092,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6057]) ).
thf(f6057,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f3802]) ).
thf(f6121,plain,
( spl1_124
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6116,f5983,f1009,f6118]) ).
thf(f6116,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6093,f5984]) ).
thf(f6093,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6056]) ).
thf(f6056,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f3802]) ).
thf(f6115,plain,
( spl1_117
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6114,f5983,f1009,f5987]) ).
thf(f6114,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6094,f5984]) ).
thf(f6094,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6055]) ).
thf(f6055,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f2657]) ).
thf(f6113,plain,
( ~ spl1_55
| spl1_110 ),
inference(avatar_contradiction_clause,[],[f6112]) ).
thf(f6112,plain,
( $false
| ~ spl1_55
| spl1_110 ),
inference(subsumption_resolution,[],[f6095,f5921]) ).
thf(f6095,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6054]) ).
thf(f6054,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f1360]) ).
thf(f6111,plain,
( spl1_123
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6106,f5983,f1009,f6108]) ).
thf(f6106,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6096,f5984]) ).
thf(f6096,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6053]) ).
thf(f6053,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f3811]) ).
thf(f6105,plain,
( spl1_122
| ~ spl1_55
| spl1_116 ),
inference(avatar_split_clause,[],[f6100,f5983,f1009,f6102]) ).
thf(f6100,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55
| spl1_116 ),
inference(subsumption_resolution,[],[f6097,f5984]) ).
thf(f6097,plain,
( ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(trivial_inequality_removal,[],[f6052]) ).
thf(f6052,plain,
( ( $true = $false )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_55 ),
inference(superposition,[],[f1011,f3810]) ).
thf(f6045,plain,
( spl1_121
| ~ spl1_56
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f6025,f5924,f1013,f6042]) ).
thf(f6042,plain,
( spl1_121
<=> ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,one_one_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_121])]) ).
thf(f5924,plain,
( spl1_111
<=> ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).
thf(f6025,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,one_one_nat),one_one_nat) )
| ~ spl1_56
| ~ spl1_111 ),
inference(backward_demodulation,[],[f5926,f1014]) ).
thf(f5926,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),one_one_nat) )
| ~ spl1_111 ),
inference(avatar_component_clause,[],[f5924]) ).
thf(f6040,plain,
( ~ spl1_120
| ~ spl1_56
| spl1_66 ),
inference(avatar_split_clause,[],[f6014,f1253,f1013,f6037]) ).
thf(f6014,plain,
( ( one_one_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_56
| spl1_66 ),
inference(backward_demodulation,[],[f1255,f1014]) ).
thf(f1255,plain,
( ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| spl1_66 ),
inference(avatar_component_clause,[],[f1253]) ).
thf(f6035,plain,
( spl1_119
| ~ spl1_56
| ~ spl1_59 ),
inference(avatar_split_clause,[],[f6010,f1106,f1013,f6032]) ).
thf(f6010,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_56
| ~ spl1_59 ),
inference(backward_demodulation,[],[f1108,f1014]) ).
thf(f6030,plain,
( spl1_118
| ~ spl1_43
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f6007,f1013,f923,f6027]) ).
thf(f6007,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_43
| ~ spl1_56 ),
inference(backward_demodulation,[],[f925,f1014]) ).
thf(f6001,plain,
( ( zero_zero_int != vAPP(int,int,bit1,zero_zero_int) )
| ( zero_zero_int != vAPP(int,int,bit0,zero_zero_int) )
| ( zero_zero_int != pls )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_nat != vAPP(int,nat,number_number_of_nat,pls) )
| ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f6000,plain,
( spl1_55
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5956,f5920,f1009]) ).
thf(f5956,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5953]) ).
thf(f5953,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f647,f5922]) ).
thf(f5922,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_110 ),
inference(avatar_component_clause,[],[f5920]) ).
thf(f5999,plain,
( spl1_116
| spl1_117
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5957,f5920,f5987,f5983]) ).
thf(f5957,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5951]) ).
thf(f5951,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f374,f5922]) ).
thf(f5998,plain,
( spl1_116
| spl1_117
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5958,f5920,f5987,f5983]) ).
thf(f5958,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5950]) ).
thf(f5950,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f374,f5922]) ).
thf(f5997,plain,
( spl1_114
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5959,f5920,f5970]) ).
thf(f5959,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5946]) ).
thf(f5946,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_110 ),
inference(superposition,[],[f1345,f5922]) ).
thf(f5996,plain,
( spl1_115
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5960,f5920,f5975]) ).
thf(f5975,plain,
( spl1_115
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_115])]) ).
thf(f5960,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5945]) ).
thf(f5945,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_110 ),
inference(superposition,[],[f1290,f5922]) ).
thf(f5995,plain,
( ~ spl1_42
| ~ spl1_44
| spl1_56
| ~ spl1_110 ),
inference(avatar_contradiction_clause,[],[f5994]) ).
thf(f5994,plain,
( $false
| ~ spl1_42
| ~ spl1_44
| spl1_56
| ~ spl1_110 ),
inference(subsumption_resolution,[],[f5993,f1015]) ).
thf(f5993,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_42
| ~ spl1_44
| ~ spl1_110 ),
inference(forward_demodulation,[],[f5961,f930]) ).
thf(f5961,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5944]) ).
thf(f5944,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_110 ),
inference(superposition,[],[f1131,f5922]) ).
thf(f5992,plain,
( spl1_55
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5963,f5920,f1009]) ).
thf(f5963,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5942]) ).
thf(f5942,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f5922,f647]) ).
thf(f5991,plain,
( spl1_116
| spl1_117
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5964,f5920,f5987,f5983]) ).
thf(f5964,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5941]) ).
thf(f5941,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f5922,f374]) ).
thf(f5990,plain,
( spl1_116
| spl1_117
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5965,f5920,f5987,f5983]) ).
thf(f5965,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5940]) ).
thf(f5940,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ( zero_zero_int = vAPP(int,int,bit1,zero_zero_int) )
| ~ spl1_110 ),
inference(superposition,[],[f5922,f374]) ).
thf(f5981,plain,
( ~ spl1_42
| ~ spl1_44
| spl1_56
| ~ spl1_110 ),
inference(avatar_contradiction_clause,[],[f5980]) ).
thf(f5980,plain,
( $false
| ~ spl1_42
| ~ spl1_44
| spl1_56
| ~ spl1_110 ),
inference(subsumption_resolution,[],[f5979,f1015]) ).
thf(f5979,plain,
( ( one_one_nat = zero_zero_nat )
| ~ spl1_42
| ~ spl1_44
| ~ spl1_110 ),
inference(forward_demodulation,[],[f5966,f930]) ).
thf(f5966,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5939]) ).
thf(f5939,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_110 ),
inference(superposition,[],[f5922,f1131]) ).
thf(f5978,plain,
( spl1_115
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5967,f5920,f5975]) ).
thf(f5967,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5938]) ).
thf(f5938,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,bit1,zero_zero_int)),one_one_int) )
| ~ spl1_110 ),
inference(superposition,[],[f5922,f1290]) ).
thf(f5973,plain,
( spl1_114
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f5968,f5920,f5970]) ).
thf(f5968,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_110 ),
inference(trivial_inequality_removal,[],[f5937]) ).
thf(f5937,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_110 ),
inference(superposition,[],[f5922,f1345]) ).
thf(f5936,plain,
( spl1_112
| spl1_113
| ~ spl1_42
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f5917,f933,f858,f5933,f5929]) ).
thf(f5917,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_42
| ~ spl1_45 ),
inference(superposition,[],[f882,f935]) ).
thf(f882,plain,
( ! [X0: int] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),X0) ) )
| ~ spl1_42 ),
inference(backward_demodulation,[],[f520,f860]) ).
thf(f520,plain,
! [X0: int] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,X0)) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,pls),X0) ) ),
inference(binary_proxy_clausification,[],[f350]) ).
thf(f5927,plain,
( spl1_110
| spl1_111
| ~ spl1_42
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f5916,f928,f858,f5924,f5920]) ).
thf(f5916,plain,
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,zero_zero_nat),one_one_nat) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_42
| ~ spl1_44 ),
inference(superposition,[],[f882,f930]) ).
thf(f5891,plain,
( spl1_109
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f5890,f858,f5886]) ).
thf(f5890,plain,
( ( zero_zero_int = vAPP(int,int,bit0,zero_zero_int) )
| ~ spl1_42 ),
inference(forward_demodulation,[],[f5748,f1030]) ).
thf(f1030,plain,
( ! [X0: int] : ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),zero_zero_int) )
| ~ spl1_42 ),
inference(superposition,[],[f365,f863]) ).
thf(f5748,plain,
( ! [X0: int] : ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),zero_zero_int)) )
| ~ spl1_42 ),
inference(superposition,[],[f1030,f366]) ).
thf(f366,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,X0)),X1) = vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1)) ),
inference(cnf_transformation,[],[f248]) ).
thf(f248,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,X0)),X1) = vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1)) ),
inference(rectify,[],[f68]) ).
thf(f68,axiom,
! [X13: int,X16: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,X13)),X16) = vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X13),X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_mult__Bit0) ).
thf(f5889,plain,
( spl1_109
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f5884,f858,f5886]) ).
thf(f5884,plain,
( ( zero_zero_int = vAPP(int,int,bit0,zero_zero_int) )
| ~ spl1_42 ),
inference(forward_demodulation,[],[f5744,f1030]) ).
thf(f5744,plain,
( ! [X0: int] : ( zero_zero_int = vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),zero_zero_int)) )
| ~ spl1_42 ),
inference(superposition,[],[f366,f1030]) ).
thf(f5883,plain,
( ~ spl1_108
| spl1_93 ),
inference(avatar_split_clause,[],[f5878,f3466,f5880]) ).
thf(f3466,plain,
( spl1_93
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).
thf(f5878,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_93 ),
inference(forward_demodulation,[],[f5877,f365]) ).
thf(f5877,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| spl1_93 ),
inference(forward_demodulation,[],[f5876,f5741]) ).
thf(f5741,plain,
! [X0: int,X1: int] : ( vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1)) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),vAPP(int,int,bit0,X0)) ),
inference(superposition,[],[f366,f365]) ).
thf(f5876,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_93 ),
inference(forward_demodulation,[],[f5763,f365]) ).
thf(f5763,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| spl1_93 ),
inference(backward_demodulation,[],[f3468,f5741]) ).
thf(f3468,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_93 ),
inference(avatar_component_clause,[],[f3466]) ).
thf(f5875,plain,
( ~ spl1_107
| spl1_92 ),
inference(avatar_split_clause,[],[f5870,f3245,f5872]) ).
thf(f3245,plain,
( spl1_92
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).
thf(f5870,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_92 ),
inference(forward_demodulation,[],[f5869,f365]) ).
thf(f5869,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| spl1_92 ),
inference(forward_demodulation,[],[f5868,f5741]) ).
thf(f5868,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_92 ),
inference(forward_demodulation,[],[f5762,f365]) ).
thf(f5762,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| spl1_92 ),
inference(backward_demodulation,[],[f3246,f5741]) ).
thf(f3246,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_92 ),
inference(avatar_component_clause,[],[f3245]) ).
thf(f5867,plain,
( ~ spl1_106
| spl1_91 ),
inference(avatar_split_clause,[],[f5862,f3227,f5864]) ).
thf(f3227,plain,
( spl1_91
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).
thf(f5862,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_91 ),
inference(forward_demodulation,[],[f5861,f365]) ).
thf(f5861,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| spl1_91 ),
inference(forward_demodulation,[],[f5860,f5741]) ).
thf(f5860,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_91 ),
inference(forward_demodulation,[],[f5761,f365]) ).
thf(f5761,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| spl1_91 ),
inference(backward_demodulation,[],[f3228,f5741]) ).
thf(f3228,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_91 ),
inference(avatar_component_clause,[],[f3227]) ).
thf(f5859,plain,
( ~ spl1_105
| spl1_87 ),
inference(avatar_split_clause,[],[f5854,f3008,f5856]) ).
thf(f3008,plain,
( spl1_87
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_87])]) ).
thf(f5854,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_87 ),
inference(forward_demodulation,[],[f5853,f365]) ).
thf(f5853,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),t) )
| spl1_87 ),
inference(forward_demodulation,[],[f5852,f5741]) ).
thf(f5852,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_87 ),
inference(forward_demodulation,[],[f5760,f365]) ).
thf(f5760,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),t) )
| spl1_87 ),
inference(backward_demodulation,[],[f3009,f5741]) ).
thf(f3009,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_87 ),
inference(avatar_component_clause,[],[f3008]) ).
thf(f5851,plain,
( ~ spl1_104
| spl1_86 ),
inference(avatar_split_clause,[],[f5846,f3003,f5848]) ).
thf(f3003,plain,
( spl1_86
<=> ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_86])]) ).
thf(f5846,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_86 ),
inference(forward_demodulation,[],[f5845,f365]) ).
thf(f5845,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),sK0) )
| spl1_86 ),
inference(forward_demodulation,[],[f5844,f5741]) ).
thf(f5844,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_86 ),
inference(forward_demodulation,[],[f5759,f365]) ).
thf(f5759,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),sK0) )
| spl1_86 ),
inference(backward_demodulation,[],[f3004,f5741]) ).
thf(f3004,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_86 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f5843,plain,
( ~ spl1_103
| spl1_85 ),
inference(avatar_split_clause,[],[f5838,f2985,f5840]) ).
thf(f2985,plain,
( spl1_85
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).
thf(f5838,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_85 ),
inference(forward_demodulation,[],[f5837,f365]) ).
thf(f5837,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| spl1_85 ),
inference(forward_demodulation,[],[f5836,f5741]) ).
thf(f5836,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_85 ),
inference(forward_demodulation,[],[f5758,f365]) ).
thf(f5758,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| spl1_85 ),
inference(backward_demodulation,[],[f2986,f5741]) ).
thf(f2986,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_85 ),
inference(avatar_component_clause,[],[f2985]) ).
thf(f5835,plain,
( ~ spl1_102
| spl1_76 ),
inference(avatar_split_clause,[],[f5830,f2682,f5832]) ).
thf(f2682,plain,
( spl1_76
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).
thf(f5830,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_76 ),
inference(forward_demodulation,[],[f5829,f365]) ).
thf(f5829,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),sK0) )
| spl1_76 ),
inference(forward_demodulation,[],[f5828,f5741]) ).
thf(f5828,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_76 ),
inference(forward_demodulation,[],[f5757,f365]) ).
thf(f5757,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),sK0) )
| spl1_76 ),
inference(backward_demodulation,[],[f2683,f5741]) ).
thf(f2683,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| spl1_76 ),
inference(avatar_component_clause,[],[f2682]) ).
thf(f5827,plain,
( ~ spl1_101
| spl1_75 ),
inference(avatar_split_clause,[],[f5822,f2677,f5824]) ).
thf(f2677,plain,
( spl1_75
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).
thf(f5822,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_75 ),
inference(forward_demodulation,[],[f5821,f365]) ).
thf(f5821,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),t) )
| spl1_75 ),
inference(forward_demodulation,[],[f5820,f5741]) ).
thf(f5820,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_75 ),
inference(forward_demodulation,[],[f5756,f365]) ).
thf(f5756,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),t) )
| spl1_75 ),
inference(backward_demodulation,[],[f2678,f5741]) ).
thf(f2678,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| spl1_75 ),
inference(avatar_component_clause,[],[f2677]) ).
thf(f5819,plain,
( spl1_100
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f5814,f969,f5816]) ).
thf(f969,plain,
( spl1_52
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
thf(f5814,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_52 ),
inference(forward_demodulation,[],[f5813,f365]) ).
thf(f5813,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),sK0) )
| ~ spl1_52 ),
inference(forward_demodulation,[],[f5812,f5741]) ).
thf(f5812,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_52 ),
inference(forward_demodulation,[],[f5755,f365]) ).
thf(f5755,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),sK0) )
| ~ spl1_52 ),
inference(backward_demodulation,[],[f971,f5741]) ).
thf(f971,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_52 ),
inference(avatar_component_clause,[],[f969]) ).
thf(f5811,plain,
( spl1_99
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f5806,f964,f5808]) ).
thf(f964,plain,
( spl1_51
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
thf(f5806,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_51 ),
inference(forward_demodulation,[],[f5805,f365]) ).
thf(f5805,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))),t) )
| ~ spl1_51 ),
inference(forward_demodulation,[],[f5804,f5741]) ).
thf(f5804,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_51 ),
inference(forward_demodulation,[],[f5754,f365]) ).
thf(f5754,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))),t) )
| ~ spl1_51 ),
inference(backward_demodulation,[],[f966,f5741]) ).
thf(f966,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_51 ),
inference(avatar_component_clause,[],[f964]) ).
thf(f5803,plain,
( spl1_98
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f5798,f959,f5800]) ).
thf(f959,plain,
( spl1_50
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
thf(f5798,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ~ spl1_50 ),
inference(forward_demodulation,[],[f5797,f365]) ).
thf(f5797,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m)))))),zero_zero_int) )
| ~ spl1_50 ),
inference(forward_demodulation,[],[f5796,f5741]) ).
thf(f5796,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ~ spl1_50 ),
inference(forward_demodulation,[],[f5753,f365]) ).
thf(f5753,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m))))),zero_zero_int) )
| ~ spl1_50 ),
inference(backward_demodulation,[],[f961,f5741]) ).
thf(f961,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f959]) ).
thf(f5795,plain,
( spl1_97
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f5790,f953,f5792]) ).
thf(f953,plain,
( spl1_49
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
thf(f5790,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_49 ),
inference(forward_demodulation,[],[f5789,f365]) ).
thf(f5789,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m)))))) )
| ~ spl1_49 ),
inference(forward_demodulation,[],[f5788,f5741]) ).
thf(f5788,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_49 ),
inference(forward_demodulation,[],[f5752,f365]) ).
thf(f5752,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m))))) )
| ~ spl1_49 ),
inference(backward_demodulation,[],[f955,f5741]) ).
thf(f955,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f953]) ).
thf(f5787,plain,
( spl1_96
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f5782,f948,f5784]) ).
thf(f948,plain,
( spl1_48
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
thf(f5782,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_48 ),
inference(forward_demodulation,[],[f5781,f365]) ).
thf(f5781,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| ~ spl1_48 ),
inference(forward_demodulation,[],[f5780,f5741]) ).
thf(f5780,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_48 ),
inference(forward_demodulation,[],[f5751,f365]) ).
thf(f5751,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| ~ spl1_48 ),
inference(backward_demodulation,[],[f950,f5741]) ).
thf(f950,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_48 ),
inference(avatar_component_clause,[],[f948]) ).
thf(f5779,plain,
( spl1_95
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f5774,f943,f5776]) ).
thf(f943,plain,
( spl1_47
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
thf(f5774,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_47 ),
inference(forward_demodulation,[],[f5773,f365]) ).
thf(f5773,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| ~ spl1_47 ),
inference(forward_demodulation,[],[f5772,f5741]) ).
thf(f5772,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_47 ),
inference(forward_demodulation,[],[f5750,f365]) ).
thf(f5750,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| ~ spl1_47 ),
inference(backward_demodulation,[],[f945,f5741]) ).
thf(f945,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_47 ),
inference(avatar_component_clause,[],[f943]) ).
thf(f5771,plain,
( spl1_94
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f5766,f938,f5768]) ).
thf(f938,plain,
( spl1_46
<=> ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
thf(f5766,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_46 ),
inference(forward_demodulation,[],[f5765,f365]) ).
thf(f5765,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit1,zero_zero_int)),m))))) )
| ~ spl1_46 ),
inference(forward_demodulation,[],[f5764,f5741]) ).
thf(f5764,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_46 ),
inference(forward_demodulation,[],[f5749,f365]) ).
thf(f5749,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,bit0,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),m)))) )
| ~ spl1_46 ),
inference(backward_demodulation,[],[f940,f5741]) ).
thf(f940,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_46 ),
inference(avatar_component_clause,[],[f938]) ).
thf(f3474,plain,
( ~ spl1_92
| spl1_87 ),
inference(avatar_split_clause,[],[f3472,f3008,f3245]) ).
thf(f3472,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_87 ),
inference(superposition,[],[f3009,f365]) ).
thf(f3473,plain,
( ~ spl1_92
| spl1_87 ),
inference(avatar_split_clause,[],[f3471,f3008,f3245]) ).
thf(f3471,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_87 ),
inference(superposition,[],[f3009,f365]) ).
thf(f3470,plain,
( ~ spl1_93
| spl1_76 ),
inference(avatar_split_clause,[],[f3453,f2682,f3466]) ).
thf(f3453,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_76 ),
inference(superposition,[],[f2683,f365]) ).
thf(f3469,plain,
( ~ spl1_93
| spl1_76 ),
inference(avatar_split_clause,[],[f3454,f2682,f3466]) ).
thf(f3454,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_76 ),
inference(superposition,[],[f2683,f365]) ).
thf(f3464,plain,
( ~ spl1_91
| spl1_86 ),
inference(avatar_split_clause,[],[f3457,f3003,f3227]) ).
thf(f3457,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_86 ),
inference(superposition,[],[f3004,f365]) ).
thf(f3463,plain,
( ~ spl1_91
| spl1_86 ),
inference(avatar_split_clause,[],[f3458,f3003,f3227]) ).
thf(f3458,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_86 ),
inference(superposition,[],[f3004,f365]) ).
thf(f3462,plain,
( spl1_86
| ~ spl1_91 ),
inference(avatar_contradiction_clause,[],[f3461]) ).
thf(f3461,plain,
( $false
| spl1_86
| ~ spl1_91 ),
inference(subsumption_resolution,[],[f3458,f3229]) ).
thf(f3229,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_91 ),
inference(avatar_component_clause,[],[f3227]) ).
thf(f3460,plain,
( spl1_86
| ~ spl1_91 ),
inference(avatar_contradiction_clause,[],[f3459]) ).
thf(f3459,plain,
( $false
| spl1_86
| ~ spl1_91 ),
inference(subsumption_resolution,[],[f3457,f3229]) ).
thf(f3452,plain,
( ~ spl1_85
| spl1_75 ),
inference(avatar_split_clause,[],[f3450,f2677,f2985]) ).
thf(f3450,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_75 ),
inference(superposition,[],[f2678,f365]) ).
thf(f3451,plain,
( ~ spl1_85
| spl1_75 ),
inference(avatar_split_clause,[],[f3449,f2677,f2985]) ).
thf(f3449,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| spl1_75 ),
inference(superposition,[],[f2678,f365]) ).
thf(f3266,plain,
( spl1_80
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f3234,f3217,f2877]) ).
thf(f3234,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_90 ),
inference(superposition,[],[f3219,f364]) ).
thf(f3219,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ~ spl1_90 ),
inference(avatar_component_clause,[],[f3217]) ).
thf(f3265,plain,
( spl1_80
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f3235,f3217,f2877]) ).
thf(f3235,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_90 ),
inference(superposition,[],[f3219,f364]) ).
thf(f3264,plain,
( spl1_80
| ~ spl1_42
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f3239,f3217,f858,f2877]) ).
thf(f3239,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_42
| ~ spl1_90 ),
inference(forward_demodulation,[],[f3236,f336]) ).
thf(f3236,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,number_number_of_int,one_one_int) )
| ~ spl1_42
| ~ spl1_90 ),
inference(superposition,[],[f2460,f3219]) ).
thf(f3263,plain,
( spl1_80
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f3237,f3217,f2877]) ).
thf(f3237,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_90 ),
inference(superposition,[],[f364,f3219]) ).
thf(f3262,plain,
( spl1_80
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f3238,f3217,f2877]) ).
thf(f3238,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_90 ),
inference(superposition,[],[f364,f3219]) ).
thf(f3261,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3260,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3259,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3258,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3257,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3256,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3255,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3254,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3253,plain,
( ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3252,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( one_one_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != pls )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3251,plain,
( spl1_92
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f3243,f3008,f3245]) ).
thf(f3243,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_87 ),
inference(superposition,[],[f365,f3010]) ).
thf(f3010,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_87 ),
inference(avatar_component_clause,[],[f3008]) ).
thf(f3250,plain,
( spl1_92
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f3242,f3008,f3245]) ).
thf(f3242,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_87 ),
inference(superposition,[],[f365,f3010]) ).
thf(f3249,plain,
( spl1_92
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f3241,f3008,f3245]) ).
thf(f3241,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_87 ),
inference(superposition,[],[f3010,f365]) ).
thf(f3248,plain,
( spl1_92
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f3240,f3008,f3245]) ).
thf(f3240,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_87 ),
inference(superposition,[],[f3010,f365]) ).
thf(f3233,plain,
( spl1_91
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f3225,f3003,f3227]) ).
thf(f3225,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_86 ),
inference(superposition,[],[f365,f3005]) ).
thf(f3005,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_86 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f3232,plain,
( spl1_91
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f3224,f3003,f3227]) ).
thf(f3224,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_86 ),
inference(superposition,[],[f365,f3005]) ).
thf(f3231,plain,
( spl1_91
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f3223,f3003,f3227]) ).
thf(f3223,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_86 ),
inference(superposition,[],[f3005,f365]) ).
thf(f3230,plain,
( spl1_91
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f3222,f3003,f3227]) ).
thf(f3222,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,sK0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_86 ),
inference(superposition,[],[f3005,f365]) ).
thf(f3220,plain,
( spl1_90
| ~ spl1_42
| ~ spl1_80 ),
inference(avatar_split_clause,[],[f3215,f2877,f858,f3217]) ).
thf(f3215,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ~ spl1_42
| ~ spl1_80 ),
inference(equality_resolution,[],[f3214]) ).
thf(f3214,plain,
( ! [X0: int] :
( ( one_one_int != X0 )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) = X0 ) )
| ~ spl1_42
| ~ spl1_80 ),
inference(superposition,[],[f2464,f2879]) ).
thf(f2879,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_80 ),
inference(avatar_component_clause,[],[f2877]) ).
thf(f2464,plain,
( ! [X0: int,X1: int] :
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),X0) != X1 )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),one_one_int) = X1 ) )
| ~ spl1_42 ),
inference(superposition,[],[f980,f2460]) ).
thf(f980,plain,
! [X0: int,X1: int] :
( ( vAPP(int,int,number_number_of_int,X1) != X0 )
| ( X0 = X1 ) ),
inference(superposition,[],[f390,f336]) ).
thf(f390,plain,
! [X0: int,X1: int] :
( ( vAPP(int,int,number_number_of_int,X0) != vAPP(int,int,number_number_of_int,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f306]) ).
thf(f306,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,int,number_number_of_int,X0) = vAPP(int,int,number_number_of_int,X1) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( vAPP(int,int,number_number_of_int,X0) != vAPP(int,int,number_number_of_int,X1) ) ) ),
inference(nnf_transformation,[],[f258]) ).
thf(f258,plain,
! [X0: int,X1: int] :
( ( vAPP(int,int,number_number_of_int,X0) = vAPP(int,int,number_number_of_int,X1) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f92]) ).
thf(f92,axiom,
! [X50: int,X51: int] :
( ( vAPP(int,int,number_number_of_int,X50) = vAPP(int,int,number_number_of_int,X51) )
<=> ( X50 = X51 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_eq__number__of) ).
thf(f3204,plain,
( spl1_80
| ~ spl1_52
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f3202,f3003,f969,f2877]) ).
thf(f3202,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_52
| ~ spl1_86 ),
inference(backward_demodulation,[],[f971,f3005]) ).
thf(f3201,plain,
( spl1_80
| ~ spl1_51
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f3199,f3008,f964,f2877]) ).
thf(f3199,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_51
| ~ spl1_87 ),
inference(backward_demodulation,[],[f966,f3010]) ).
thf(f3198,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f3124,f2740,f2881,f2877]) ).
thf(f3124,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f3102]) ).
thf(f3102,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f2742,f374]) ).
thf(f3197,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f3123,f2740,f2881,f2877]) ).
thf(f3123,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f3103]) ).
thf(f3103,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f2742,f374]) ).
thf(f3196,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f3118,f2740,f2881,f2877]) ).
thf(f3118,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f3110]) ).
thf(f3110,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f374,f2742]) ).
thf(f3195,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f3117,f2740,f2881,f2877]) ).
thf(f3117,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f3111]) ).
thf(f3111,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f374,f2742]) ).
thf(f3194,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3193,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3192,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3191,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3190,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3189,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3188,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3187,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3186,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3185,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3184,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3183,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3182,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3181,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3180,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3179,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3178,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ( zero_zero_int != pls )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3177,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3176,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3175,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3174,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3173,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3172,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3171,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3170,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3169,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3168,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3167,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3166,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3165,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3164,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3163,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3162,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f3161,plain,
( spl1_89
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f3143,f2881,f3156]) ).
thf(f3143,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(trivial_inequality_removal,[],[f3138]) ).
thf(f3138,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(superposition,[],[f1360,f2883]) ).
thf(f3160,plain,
( spl1_89
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f3145,f2881,f3156]) ).
thf(f3145,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(trivial_inequality_removal,[],[f3136]) ).
thf(f3136,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(superposition,[],[f1157,f2883]) ).
thf(f3159,plain,
( spl1_89
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f3151,f2881,f3156]) ).
thf(f3151,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(trivial_inequality_removal,[],[f3130]) ).
thf(f3130,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_81 ),
inference(superposition,[],[f2883,f1360]) ).
thf(f3020,plain,
( ~ spl1_88
| spl1_73
| ~ spl1_80 ),
inference(avatar_split_clause,[],[f3015,f2877,f2661,f3017]) ).
thf(f3015,plain,
( ( zero_zero_int != one_one_int )
| spl1_73
| ~ spl1_80 ),
inference(forward_demodulation,[],[f2662,f2879]) ).
thf(f3011,plain,
( spl1_87
| ~ spl1_51
| ~ spl1_80 ),
inference(avatar_split_clause,[],[f2999,f2877,f964,f3008]) ).
thf(f2999,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_51
| ~ spl1_80 ),
inference(backward_demodulation,[],[f966,f2879]) ).
thf(f3006,plain,
( spl1_86
| ~ spl1_52
| ~ spl1_80 ),
inference(avatar_split_clause,[],[f2998,f2877,f969,f3003]) ).
thf(f2998,plain,
( ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_52
| ~ spl1_80 ),
inference(backward_demodulation,[],[f971,f2879]) ).
thf(f2996,plain,
( spl1_73
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f2973,f2768,f2661]) ).
thf(f2973,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_79 ),
inference(superposition,[],[f2770,f364]) ).
thf(f2770,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ~ spl1_79 ),
inference(avatar_component_clause,[],[f2768]) ).
thf(f2995,plain,
( spl1_73
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f2974,f2768,f2661]) ).
thf(f2974,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_79 ),
inference(superposition,[],[f2770,f364]) ).
thf(f2994,plain,
( spl1_73
| ~ spl1_42
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f2978,f2768,f858,f2661]) ).
thf(f2978,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_42
| ~ spl1_79 ),
inference(forward_demodulation,[],[f2975,f336]) ).
thf(f2975,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,number_number_of_int,zero_zero_int) )
| ~ spl1_42
| ~ spl1_79 ),
inference(superposition,[],[f2460,f2770]) ).
thf(f2993,plain,
( spl1_73
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f2976,f2768,f2661]) ).
thf(f2976,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_79 ),
inference(superposition,[],[f364,f2770]) ).
thf(f2992,plain,
( spl1_73
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f2977,f2768,f2661]) ).
thf(f2977,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_79 ),
inference(superposition,[],[f364,f2770]) ).
thf(f2991,plain,
( spl1_85
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2983,f2677,f2985]) ).
thf(f2983,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_75 ),
inference(superposition,[],[f365,f2679]) ).
thf(f2679,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_75 ),
inference(avatar_component_clause,[],[f2677]) ).
thf(f2990,plain,
( spl1_85
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2982,f2677,f2985]) ).
thf(f2982,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_75 ),
inference(superposition,[],[f365,f2679]) ).
thf(f2989,plain,
( spl1_85
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2981,f2677,f2985]) ).
thf(f2981,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_75 ),
inference(superposition,[],[f2679,f365]) ).
thf(f2988,plain,
( spl1_85
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2980,f2677,f2985]) ).
thf(f2980,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_75 ),
inference(superposition,[],[f2679,f365]) ).
thf(f2929,plain,
( ~ spl1_84
| ~ spl1_73
| spl1_78 ),
inference(avatar_split_clause,[],[f2918,f2745,f2661,f2926]) ).
thf(f2926,plain,
( spl1_84
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).
thf(f2918,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),zero_zero_int) )
| ~ spl1_73
| spl1_78 ),
inference(backward_demodulation,[],[f2746,f2663]) ).
thf(f2663,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_73 ),
inference(avatar_component_clause,[],[f2661]) ).
thf(f2746,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| spl1_78 ),
inference(avatar_component_clause,[],[f2745]) ).
thf(f2924,plain,
( ~ spl1_83
| ~ spl1_73
| spl1_77 ),
inference(avatar_split_clause,[],[f2917,f2740,f2661,f2921]) ).
thf(f2917,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_73
| spl1_77 ),
inference(backward_demodulation,[],[f2741,f2663]) ).
thf(f2741,plain,
( ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| spl1_77 ),
inference(avatar_component_clause,[],[f2740]) ).
thf(f2913,plain,
( spl1_73
| ~ spl1_51
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2912,f2677,f964,f2661]) ).
thf(f2912,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_51
| ~ spl1_75 ),
inference(backward_demodulation,[],[f966,f2679]) ).
thf(f2911,plain,
( spl1_73
| ~ spl1_52
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f2910,f2682,f969,f2661]) ).
thf(f2910,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_52
| ~ spl1_76 ),
inference(backward_demodulation,[],[f971,f2684]) ).
thf(f2684,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_76 ),
inference(avatar_component_clause,[],[f2682]) ).
thf(f2909,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2793,f998,f2665,f2661]) ).
thf(f2793,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2772]) ).
thf(f2772,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2908,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2792,f998,f2665,f2661]) ).
thf(f2792,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2773]) ).
thf(f2773,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2907,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2789,f998,f2665,f2661]) ).
thf(f2789,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2781]) ).
thf(f2781,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f2906,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2788,f998,f2665,f2661]) ).
thf(f2788,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2782]) ).
thf(f2782,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f2905,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2904,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2903,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $false )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2902,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2901,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2900,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2899,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2898,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2897,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2896,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2895,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2894,plain,
( ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ( $false != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f2893,plain,
( spl1_82
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2865,f2740,f2887]) ).
thf(f2865,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2862]) ).
thf(f2862,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_77 ),
inference(superposition,[],[f647,f2742]) ).
thf(f2892,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2866,f2740,f2881,f2877]) ).
thf(f2866,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2860]) ).
thf(f2860,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f374,f2742]) ).
thf(f2891,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2867,f2740,f2881,f2877]) ).
thf(f2867,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2859]) ).
thf(f2859,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f374,f2742]) ).
thf(f2890,plain,
( spl1_82
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2871,f2740,f2887]) ).
thf(f2871,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2853]) ).
thf(f2853,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_77 ),
inference(superposition,[],[f2742,f647]) ).
thf(f2885,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2872,f2740,f2881,f2877]) ).
thf(f2872,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2852]) ).
thf(f2852,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f2742,f374]) ).
thf(f2884,plain,
( spl1_80
| spl1_81
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f2873,f2740,f2881,f2877]) ).
thf(f2873,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(trivial_inequality_removal,[],[f2851]) ).
thf(f2851,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( one_one_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_77 ),
inference(superposition,[],[f2742,f374]) ).
thf(f2771,plain,
( spl1_79
| ~ spl1_42
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f2766,f2661,f858,f2768]) ).
thf(f2766,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) )
| ~ spl1_42
| ~ spl1_73 ),
inference(equality_resolution,[],[f2765]) ).
thf(f2765,plain,
( ! [X0: int] :
( ( zero_zero_int != X0 )
| ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),one_one_int) = X0 ) )
| ~ spl1_42
| ~ spl1_73 ),
inference(superposition,[],[f2464,f2663]) ).
thf(f2760,plain,
( spl1_73
| ~ spl1_51
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f2759,f2677,f964,f2661]) ).
thf(f2759,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_51
| ~ spl1_75 ),
inference(backward_demodulation,[],[f966,f2679]) ).
thf(f2758,plain,
( spl1_73
| ~ spl1_52
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f2757,f2682,f969,f2661]) ).
thf(f2757,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_52
| ~ spl1_76 ),
inference(backward_demodulation,[],[f971,f2684]) ).
thf(f2756,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2707,f998,f2665,f2661]) ).
thf(f2707,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2686]) ).
thf(f2686,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2755,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2706,f998,f2665,f2661]) ).
thf(f2706,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2687]) ).
thf(f2687,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2754,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2703,f998,f2665,f2661]) ).
thf(f2703,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2695]) ).
thf(f2695,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f2753,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2702,f998,f2665,f2661]) ).
thf(f2702,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2696]) ).
thf(f2696,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f2752,plain,
( spl1_78
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2729,f2665,f2745]) ).
thf(f2729,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2724]) ).
thf(f2724,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(superposition,[],[f1360,f2667]) ).
thf(f2751,plain,
( spl1_78
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2731,f2665,f2745]) ).
thf(f2731,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2722]) ).
thf(f2722,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(superposition,[],[f1157,f2667]) ).
thf(f2750,plain,
( spl1_77
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2733,f2665,f2740]) ).
thf(f2733,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2720]) ).
thf(f2720,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(superposition,[],[f1429,f2667]) ).
thf(f2749,plain,
( spl1_77
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2734,f2665,f2740]) ).
thf(f2734,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2719]) ).
thf(f2719,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(superposition,[],[f2123,f2667]) ).
thf(f2748,plain,
( spl1_78
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2735,f2665,f2745]) ).
thf(f2735,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2718]) ).
thf(f2718,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| ~ spl1_74 ),
inference(superposition,[],[f2667,f1360]) ).
thf(f2743,plain,
( spl1_77
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f2738,f2665,f2740]) ).
thf(f2738,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(trivial_inequality_removal,[],[f2715]) ).
thf(f2715,plain,
( ( $true = $false )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),one_one_int) )
| ~ spl1_74 ),
inference(superposition,[],[f2667,f1429]) ).
thf(f2685,plain,
( spl1_76
| ~ spl1_52
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f2675,f2661,f969,f2682]) ).
thf(f2675,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_52
| ~ spl1_73 ),
inference(backward_demodulation,[],[f971,f2663]) ).
thf(f2680,plain,
( spl1_75
| ~ spl1_51
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f2674,f2661,f964,f2677]) ).
thf(f2674,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_51
| ~ spl1_73 ),
inference(backward_demodulation,[],[f966,f2663]) ).
thf(f2671,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2574,f998,f2665,f2661]) ).
thf(f2574,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2567]) ).
thf(f2567,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2670,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2603,f998,f2665,f2661]) ).
thf(f2603,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2537]) ).
thf(f2537,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f374]) ).
thf(f2669,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2630,f998,f2665,f2661]) ).
thf(f2630,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2509]) ).
thf(f2509,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f2668,plain,
( spl1_73
| spl1_74
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f2645,f998,f2665,f2661]) ).
thf(f2645,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f2493]) ).
thf(f2493,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_54 ),
inference(superposition,[],[f374,f1000]) ).
thf(f1375,plain,
( spl1_72
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f1361,f679,f1372]) ).
thf(f1372,plain,
( spl1_72
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).
thf(f679,plain,
( spl1_22
<=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
thf(f1361,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),t) )
| ~ spl1_22 ),
inference(trivial_inequality_removal,[],[f1357]) ).
thf(f1357,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),t) )
| ~ spl1_22 ),
inference(superposition,[],[f1157,f681]) ).
thf(f681,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int) = $true )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f679]) ).
thf(f1370,plain,
( spl1_71
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f1363,f1294,f1367]) ).
thf(f1294,plain,
( spl1_67
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
thf(f1363,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_67 ),
inference(trivial_inequality_removal,[],[f1355]) ).
thf(f1355,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),zero_zero_int) )
| ~ spl1_67 ),
inference(superposition,[],[f1157,f1296]) ).
thf(f1296,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) )
| ~ spl1_67 ),
inference(avatar_component_clause,[],[f1294]) ).
thf(f1322,plain,
( spl1_70
| spl1_69 ),
inference(avatar_split_clause,[],[f1316,f1309,f1319]) ).
thf(f1309,plain,
( spl1_69
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).
thf(f1316,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| spl1_69 ),
inference(trivial_inequality_removal,[],[f1315]) ).
thf(f1315,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| spl1_69 ),
inference(superposition,[],[f1311,f110]) ).
thf(f1311,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| spl1_69 ),
inference(avatar_component_clause,[],[f1309]) ).
thf(f1312,plain,
( ~ spl1_69
| ~ spl1_68 ),
inference(avatar_split_clause,[],[f1307,f1302,f1309]) ).
thf(f1302,plain,
( spl1_68
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).
thf(f1307,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ~ spl1_68 ),
inference(trivial_inequality_removal,[],[f1306]) ).
thf(f1306,plain,
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),zero_zero_int) )
| ~ spl1_68 ),
inference(superposition,[],[f651,f1304]) ).
thf(f1304,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ~ spl1_68 ),
inference(avatar_component_clause,[],[f1302]) ).
thf(f1305,plain,
( spl1_68
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f1300,f1294,f1302]) ).
thf(f1300,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ~ spl1_67 ),
inference(trivial_inequality_removal,[],[f1299]) ).
thf(f1299,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),one_one_int) )
| ~ spl1_67 ),
inference(superposition,[],[f398,f1296]) ).
thf(f1298,plain,
spl1_67,
inference(avatar_split_clause,[],[f1285,f1294]) ).
thf(f1285,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int),
inference(trivial_inequality_removal,[],[f1276]) ).
thf(f1276,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
inference(superposition,[],[f363,f523]) ).
thf(f1297,plain,
spl1_67,
inference(avatar_split_clause,[],[f1291,f1294]) ).
thf(f1291,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int),
inference(trivial_inequality_removal,[],[f1270]) ).
thf(f1270,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),one_one_int) ) ),
inference(superposition,[],[f523,f363]) ).
thf(f1256,plain,
( spl1_65
| ~ spl1_66
| ~ spl1_42
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f1247,f933,f858,f1253,f1249]) ).
thf(f1247,plain,
( ( zero_zero_nat != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),zero_zero_int) )
| ~ spl1_42
| ~ spl1_45 ),
inference(superposition,[],[f864,f935]) ).
thf(f1197,plain,
( spl1_64
| spl1_61 ),
inference(avatar_split_clause,[],[f1191,f1168,f1194]) ).
thf(f1194,plain,
( spl1_64
<=> ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).
thf(f1168,plain,
( spl1_61
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
thf(f1191,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| spl1_61 ),
inference(trivial_inequality_removal,[],[f1190]) ).
thf(f1190,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| spl1_61 ),
inference(superposition,[],[f1170,f110]) ).
thf(f1170,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| spl1_61 ),
inference(avatar_component_clause,[],[f1168]) ).
thf(f1187,plain,
( spl1_63
| spl1_62 ),
inference(avatar_split_clause,[],[f1180,f1173,f1184]) ).
thf(f1173,plain,
( spl1_62
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
thf(f1180,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| spl1_62 ),
inference(trivial_inequality_removal,[],[f1179]) ).
thf(f1179,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| spl1_62 ),
inference(superposition,[],[f1175,f110]) ).
thf(f1175,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| spl1_62 ),
inference(avatar_component_clause,[],[f1173]) ).
thf(f1176,plain,
( ~ spl1_62
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f1158,f1095,f1173]) ).
thf(f1095,plain,
( spl1_58
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
thf(f1158,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ~ spl1_58 ),
inference(trivial_inequality_removal,[],[f1155]) ).
thf(f1155,plain,
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),t) )
| ~ spl1_58 ),
inference(superposition,[],[f651,f1097]) ).
thf(f1097,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),zero_zero_int) )
| ~ spl1_58 ),
inference(avatar_component_clause,[],[f1095]) ).
thf(f1171,plain,
( ~ spl1_61
| ~ spl1_57 ),
inference(avatar_split_clause,[],[f1159,f1070,f1168]) ).
thf(f1070,plain,
( spl1_57
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
thf(f1159,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ~ spl1_57 ),
inference(trivial_inequality_removal,[],[f1154]) ).
thf(f1154,plain,
( ( $true != $true )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) )
| ~ spl1_57 ),
inference(superposition,[],[f651,f1072]) ).
thf(f1072,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_57 ),
inference(avatar_component_clause,[],[f1070]) ).
thf(f1139,plain,
( spl1_60
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f1127,f998,f1135]) ).
thf(f1127,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f1120]) ).
thf(f1120,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_54 ),
inference(superposition,[],[f1000,f647]) ).
thf(f1138,plain,
( spl1_60
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f1132,f998,f1135]) ).
thf(f1132,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_54 ),
inference(trivial_inequality_removal,[],[f1115]) ).
thf(f1115,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))) )
| ~ spl1_54 ),
inference(superposition,[],[f647,f1000]) ).
thf(f1111,plain,
( spl1_59
| ~ spl1_42
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f1102,f1095,f858,f1106]) ).
thf(f1102,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(trivial_inequality_removal,[],[f1101]) ).
thf(f1101,plain,
( ( $true != $true )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(superposition,[],[f865,f1097]) ).
thf(f1110,plain,
( spl1_59
| ~ spl1_42
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f1103,f1095,f858,f1106]) ).
thf(f1103,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(trivial_inequality_removal,[],[f1100]) ).
thf(f1100,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(superposition,[],[f1019,f1097]) ).
thf(f1109,plain,
( spl1_59
| ~ spl1_42
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f1104,f1095,f858,f1106]) ).
thf(f1104,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(trivial_inequality_removal,[],[f1099]) ).
thf(f1099,plain,
( ( $true = $false )
| ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,t) )
| ~ spl1_42
| ~ spl1_58 ),
inference(superposition,[],[f1097,f1019]) ).
thf(f1098,plain,
( spl1_58
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f1092,f679,f1095]) ).
thf(f1092,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),zero_zero_int) )
| ~ spl1_22 ),
inference(trivial_inequality_removal,[],[f1088]) ).
thf(f1088,plain,
( ( $true != $true )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),zero_zero_int) )
| ~ spl1_22 ),
inference(superposition,[],[f398,f681]) ).
thf(f1076,plain,
( spl1_57
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f1059,f988,f1070]) ).
thf(f988,plain,
( spl1_53
<=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
thf(f1059,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(trivial_inequality_removal,[],[f1054]) ).
thf(f1054,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(superposition,[],[f990,f375]) ).
thf(f990,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $false )
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f988]) ).
thf(f1075,plain,
( spl1_57
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f1062,f988,f1070]) ).
thf(f1062,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(trivial_inequality_removal,[],[f1051]) ).
thf(f1051,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(superposition,[],[f990,f375]) ).
thf(f1074,plain,
( spl1_57
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f1065,f988,f1070]) ).
thf(f1065,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(trivial_inequality_removal,[],[f1048]) ).
thf(f1048,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(superposition,[],[f375,f990]) ).
thf(f1073,plain,
( spl1_57
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f1067,f988,f1070]) ).
thf(f1067,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(trivial_inequality_removal,[],[f1046]) ).
thf(f1046,plain,
( ( $true = $false )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,t),one_one_int) )
| ~ spl1_53 ),
inference(superposition,[],[f375,f990]) ).
thf(f1016,plain,
( spl1_55
| ~ spl1_56
| ~ spl1_42
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f1006,f928,f858,f1013,f1009]) ).
thf(f1006,plain,
( ( one_one_nat != zero_zero_nat )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,bit1,zero_zero_int)),zero_zero_int) )
| ~ spl1_42
| ~ spl1_44 ),
inference(superposition,[],[f864,f930]) ).
thf(f1001,plain,
( spl1_54
| spl1_37 ),
inference(avatar_split_clause,[],[f996,f798,f998]) ).
thf(f798,plain,
( spl1_37
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
thf(f996,plain,
( ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| spl1_37 ),
inference(trivial_inequality_removal,[],[f995]) ).
thf(f995,plain,
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| spl1_37 ),
inference(superposition,[],[f800,f110]) ).
thf(f800,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| spl1_37 ),
inference(avatar_component_clause,[],[f798]) ).
thf(f991,plain,
( spl1_53
| spl1_15 ),
inference(avatar_split_clause,[],[f986,f596,f988]) ).
thf(f596,plain,
( spl1_15
<=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
thf(f986,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $false )
| spl1_15 ),
inference(trivial_inequality_removal,[],[f985]) ).
thf(f985,plain,
( ( $true != $true )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $false )
| spl1_15 ),
inference(superposition,[],[f598,f110]) ).
thf(f598,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $true )
| spl1_15 ),
inference(avatar_component_clause,[],[f596]) ).
thf(f972,plain,
( spl1_52
| ~ spl1_40
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f905,f858,f817,f969]) ).
thf(f817,plain,
( spl1_40
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
thf(f905,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),sK0) )
| ~ spl1_40
| ~ spl1_42 ),
inference(backward_demodulation,[],[f819,f860]) ).
thf(f819,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f817]) ).
thf(f967,plain,
( spl1_51
| ~ spl1_39
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f904,f858,f811,f964]) ).
thf(f811,plain,
( spl1_39
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
thf(f904,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))),t) )
| ~ spl1_39
| ~ spl1_42 ),
inference(backward_demodulation,[],[f813,f860]) ).
thf(f813,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_39 ),
inference(avatar_component_clause,[],[f811]) ).
thf(f962,plain,
( spl1_50
| ~ spl1_27
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f957,f858,f722,f959]) ).
thf(f722,plain,
( spl1_27
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
thf(f957,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),zero_zero_int) )
| ~ spl1_27
| ~ spl1_42 ),
inference(forward_demodulation,[],[f903,f863]) ).
thf(f903,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_27
| ~ spl1_42 ),
inference(backward_demodulation,[],[f724,f860]) ).
thf(f724,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))) )
| ~ spl1_27 ),
inference(avatar_component_clause,[],[f722]) ).
thf(f956,plain,
( spl1_49
| ~ spl1_26
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f902,f858,f712,f953]) ).
thf(f712,plain,
( spl1_26
<=> ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
thf(f902,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))))))) )
| ~ spl1_26
| ~ spl1_42 ),
inference(backward_demodulation,[],[f714,f860]) ).
thf(f714,plain,
( ( $true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))) )
| ~ spl1_26 ),
inference(avatar_component_clause,[],[f712]) ).
thf(f951,plain,
( spl1_48
| ~ spl1_25
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f901,f858,f703,f948]) ).
thf(f703,plain,
( spl1_25
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
thf(f901,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_25
| ~ spl1_42 ),
inference(backward_demodulation,[],[f705,f860]) ).
thf(f705,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f946,plain,
( spl1_47
| ~ spl1_24
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f900,f858,f695,f943]) ).
thf(f695,plain,
( spl1_24
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
thf(f900,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_24
| ~ spl1_42 ),
inference(backward_demodulation,[],[f697,f860]) ).
thf(f697,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f695]) ).
thf(f941,plain,
( spl1_46
| ~ spl1_23
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f899,f858,f687,f938]) ).
thf(f687,plain,
( spl1_23
<=> ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
thf(f899,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))))) )
| ~ spl1_23
| ~ spl1_42 ),
inference(backward_demodulation,[],[f689,f860]) ).
thf(f689,plain,
( ( $true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f687]) ).
thf(f936,plain,
( spl1_45
| ~ spl1_10
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f887,f858,f572,f933]) ).
thf(f572,plain,
( spl1_10
<=> ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
thf(f887,plain,
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))) )
| ~ spl1_10
| ~ spl1_42 ),
inference(backward_demodulation,[],[f574,f860]) ).
thf(f574,plain,
( ( vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f572]) ).
thf(f931,plain,
( spl1_44
| ~ spl1_5
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f886,f858,f546,f928]) ).
thf(f546,plain,
( spl1_5
<=> ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
thf(f886,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,zero_zero_int)) )
| ~ spl1_5
| ~ spl1_42 ),
inference(backward_demodulation,[],[f548,f860]) ).
thf(f548,plain,
( ( one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f546]) ).
thf(f926,plain,
( spl1_43
| ~ spl1_3
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f884,f858,f535,f923]) ).
thf(f535,plain,
( spl1_3
<=> ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
thf(f884,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,zero_zero_int) )
| ~ spl1_3
| ~ spl1_42 ),
inference(backward_demodulation,[],[f537,f860]) ).
thf(f537,plain,
( ( zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f535]) ).
thf(f862,plain,
( spl1_42
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f856,f541,f858]) ).
thf(f541,plain,
( spl1_4
<=> ( zero_zero_int = vAPP(int,int,number_number_of_int,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
thf(f856,plain,
( ( zero_zero_int = pls )
| ~ spl1_4 ),
inference(superposition,[],[f336,f543]) ).
thf(f543,plain,
( ( zero_zero_int = vAPP(int,int,number_number_of_int,pls) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f861,plain,
( spl1_42
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f855,f541,f858]) ).
thf(f855,plain,
( ( zero_zero_int = pls )
| ~ spl1_4 ),
inference(superposition,[],[f543,f336]) ).
thf(f826,plain,
( spl1_41
| ~ spl1_28
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f821,f804,f728,f823]) ).
thf(f823,plain,
( spl1_41
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
thf(f728,plain,
( spl1_28
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
thf(f821,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),zero_zero_int) )
| ~ spl1_28
| ~ spl1_38 ),
inference(backward_demodulation,[],[f730,f806]) ).
thf(f730,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f728]) ).
thf(f820,plain,
( spl1_40
| ~ spl1_10
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f815,f738,f572,f817]) ).
thf(f738,plain,
( spl1_29
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
thf(f815,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_10
| ~ spl1_29 ),
inference(forward_demodulation,[],[f740,f574]) ).
thf(f740,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f738]) ).
thf(f814,plain,
( spl1_39
| ~ spl1_10
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f809,f747,f572,f811]) ).
thf(f747,plain,
( spl1_30
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
thf(f809,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_10
| ~ spl1_30 ),
inference(forward_demodulation,[],[f749,f574]) ).
thf(f749,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f747]) ).
thf(f807,plain,
( spl1_38
| ~ spl1_32
| ~ spl1_33 ),
inference(avatar_split_clause,[],[f802,f773,f767,f804]) ).
thf(f767,plain,
( spl1_32
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
thf(f802,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int) )
| ~ spl1_32
| ~ spl1_33 ),
inference(forward_demodulation,[],[f769,f775]) ).
thf(f769,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f767]) ).
thf(f801,plain,
( ~ spl1_37
| spl1_2
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f796,f572,f530,f798]) ).
thf(f530,plain,
( spl1_2
<=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f796,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)))),zero_zero_int) )
| spl1_2
| ~ spl1_10 ),
inference(forward_demodulation,[],[f795,f574]) ).
thf(f795,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),zero_zero_int) )
| spl1_2 ),
inference(forward_demodulation,[],[f532,f364]) ).
thf(f532,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) != $true )
| spl1_2 ),
inference(avatar_component_clause,[],[f530]) ).
thf(f794,plain,
( spl1_36
| ~ spl1_6
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f789,f572,f552,f791]) ).
thf(f552,plain,
( spl1_6
<=> ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
thf(f789,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_demodulation,[],[f554,f574]) ).
thf(f554,plain,
( ( one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f788,plain,
( spl1_35
| ~ spl1_7
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f783,f572,f557,f785]) ).
thf(f557,plain,
( spl1_7
<=> ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
thf(f783,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_7
| ~ spl1_10 ),
inference(forward_demodulation,[],[f559,f574]) ).
thf(f559,plain,
( ( zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f557]) ).
thf(f782,plain,
( spl1_34
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f777,f572,f562,f779]) ).
thf(f562,plain,
( spl1_8
<=> ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
thf(f777,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_demodulation,[],[f564,f574]) ).
thf(f564,plain,
( ( one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f562]) ).
thf(f776,plain,
( spl1_33
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f771,f572,f567,f773]) ).
thf(f567,plain,
( spl1_9
<=> ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
thf(f771,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)) )
| ~ spl1_9
| ~ spl1_10 ),
inference(forward_demodulation,[],[f569,f574]) ).
thf(f569,plain,
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f567]) ).
thf(f770,plain,
( spl1_32
| ~ spl1_10
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f760,f635,f572,f767]) ).
thf(f635,plain,
( spl1_18
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
thf(f760,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_10
| ~ spl1_18 ),
inference(backward_demodulation,[],[f637,f574]) ).
thf(f637,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f635]) ).
thf(f765,plain,
( ~ spl1_31
| ~ spl1_10
| spl1_16 ),
inference(avatar_split_clause,[],[f759,f613,f572,f762]) ).
thf(f762,plain,
( spl1_31
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
thf(f613,plain,
( spl1_16
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
thf(f759,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat))) )
| ~ spl1_10
| spl1_16 ),
inference(backward_demodulation,[],[f615,f574]) ).
thf(f615,plain,
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| spl1_16 ),
inference(avatar_component_clause,[],[f613]) ).
thf(f750,plain,
( spl1_30
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f745,f577,f747]) ).
thf(f577,plain,
( spl1_11
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
thf(f745,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_11 ),
inference(forward_demodulation,[],[f744,f336]) ).
thf(f744,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_11 ),
inference(forward_demodulation,[],[f743,f365]) ).
thf(f743,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_11 ),
inference(forward_demodulation,[],[f742,f364]) ).
thf(f742,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_11 ),
inference(forward_demodulation,[],[f579,f364]) ).
thf(f579,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f577]) ).
thf(f741,plain,
( spl1_29
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f736,f591,f738]) ).
thf(f591,plain,
( spl1_14
<=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
thf(f736,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ~ spl1_14 ),
inference(forward_demodulation,[],[f735,f364]) ).
thf(f735,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),sK0) )
| ~ spl1_14 ),
inference(forward_demodulation,[],[f734,f336]) ).
thf(f734,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),sK0) )
| ~ spl1_14 ),
inference(forward_demodulation,[],[f733,f365]) ).
thf(f733,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),sK0) )
| ~ spl1_14 ),
inference(forward_demodulation,[],[f593,f364]) ).
thf(f593,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),sK0) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f591]) ).
thf(f731,plain,
( spl1_28
| ~ spl1_19 ),
inference(avatar_split_clause,[],[f726,f661,f728]) ).
thf(f661,plain,
( spl1_19
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
thf(f726,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ~ spl1_19 ),
inference(forward_demodulation,[],[f663,f436]) ).
thf(f436,plain,
! [X2: int,X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X1),X2)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X2)) ),
inference(cnf_transformation,[],[f268]) ).
thf(f268,plain,
! [X0: int,X1: int,X2: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X1),X2)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X1)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X2)) ),
inference(rectify,[],[f74]) ).
thf(f74,axiom,
! [X12: int,X19: int,X20: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X12),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X19),X20)) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X12),X19)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X12),X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_zadd__zmult__distrib2) ).
thf(f663,plain,
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f661]) ).
thf(f725,plain,
spl1_27,
inference(avatar_split_clause,[],[f720,f722]) ).
thf(f720,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f719,f365]) ).
thf(f719,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f718,f336]) ).
thf(f718,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))))),
inference(forward_demodulation,[],[f717,f365]) ).
thf(f717,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)))),
inference(forward_demodulation,[],[f716,f364]) ).
thf(f716,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int))),
inference(forward_demodulation,[],[f453,f365]) ).
thf(f453,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),zero_zero_int)) = $true,
inference(cnf_transformation,[],[f234]) ).
thf(f234,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),zero_zero_int)) = $true,
inference(fool_elimination,[],[f233]) ).
thf(f233,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),zero_zero_int)),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
thf(f715,plain,
spl1_26,
inference(avatar_split_clause,[],[f710,f712]) ).
thf(f710,plain,
$true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f709,f336]) ).
thf(f709,plain,
$true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))))),
inference(forward_demodulation,[],[f708,f365]) ).
thf(f708,plain,
$true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)))),
inference(forward_demodulation,[],[f707,f364]) ).
thf(f707,plain,
$true = vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int))),
inference(forward_demodulation,[],[f452,f365]) ).
thf(f452,plain,
vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)) = $true,
inference(cnf_transformation,[],[f232]) ).
thf(f232,plain,
vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)) = $true,
inference(fool_elimination,[],[f231]) ).
thf(f231,plain,
vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),
inference(rectify,[],[f23]) ).
thf(f23,axiom,
vAPP(int,$o,twoSqu1013291560sum2sq,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_qf1pt) ).
thf(f706,plain,
spl1_25,
inference(avatar_split_clause,[],[f701,f703]) ).
thf(f701,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),
inference(forward_demodulation,[],[f700,f336]) ).
thf(f700,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f699,f365]) ).
thf(f699,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),
inference(forward_demodulation,[],[f451,f364]) ).
thf(f451,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(cnf_transformation,[],[f230]) ).
thf(f230,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(fool_elimination,[],[f229]) ).
thf(f229,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_p0) ).
thf(f698,plain,
spl1_24,
inference(avatar_split_clause,[],[f693,f695]) ).
thf(f693,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),
inference(forward_demodulation,[],[f692,f336]) ).
thf(f692,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f691,f365]) ).
thf(f691,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),
inference(forward_demodulation,[],[f450,f364]) ).
thf(f450,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(cnf_transformation,[],[f228]) ).
thf(f228,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(fool_elimination,[],[f227]) ).
thf(f227,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
inference(rectify,[],[f20]) ).
thf(f20,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_t__l__p) ).
thf(f690,plain,
spl1_23,
inference(avatar_split_clause,[],[f685,f687]) ).
thf(f685,plain,
$true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),
inference(forward_demodulation,[],[f684,f336]) ).
thf(f684,plain,
$true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,m),vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))),
inference(forward_demodulation,[],[f683,f365]) ).
thf(f683,plain,
$true = vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m))),
inference(forward_demodulation,[],[f449,f364]) ).
thf(f449,plain,
vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(cnf_transformation,[],[f226]) ).
thf(f226,plain,
vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)) = $true,
inference(fool_elimination,[],[f225]) ).
thf(f225,plain,
vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
inference(rectify,[],[f22]) ).
thf(f22,axiom,
vAPP(int,$o,zprime,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_p) ).
thf(f682,plain,
spl1_22,
inference(avatar_split_clause,[],[f447,f679]) ).
thf(f447,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int) = $true,
inference(cnf_transformation,[],[f222]) ).
thf(f222,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int) = $true,
inference(fool_elimination,[],[f221]) ).
thf(f221,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__096t_A_060_A0_096) ).
thf(f677,plain,
spl1_21,
inference(avatar_split_clause,[],[f446,f674]) ).
thf(f674,plain,
( spl1_21
<=> ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
thf(f446,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int) = $true,
inference(cnf_transformation,[],[f220]) ).
thf(f220,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int) = $true,
inference(fool_elimination,[],[f219]) ).
thf(f219,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_calculation_I1_J) ).
thf(f669,plain,
~ spl1_20,
inference(avatar_split_clause,[],[f471,f666]) ).
thf(f666,plain,
( spl1_20
<=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
thf(f471,plain,
$true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))),
inference(equality_resolution,[],[f470]) ).
thf(f470,plain,
! [X0: int] :
( ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
inference(equality_resolution,[],[f427]) ).
thf(f427,plain,
! [X0: int,X1: int] :
( ( zero_zero_int != X1 )
| ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ),
inference(cnf_transformation,[],[f320]) ).
thf(f320,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
| ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) )
& ( ( zero_zero_int != X1 )
| ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ) ),
inference(flattening,[],[f319]) ).
thf(f319,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
| ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) )
& ( ( zero_zero_int != X1 )
| ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) ) ) ),
inference(nnf_transformation,[],[f208]) ).
thf(f208,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))) )
<=> ( ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) ) ),
inference(fool_elimination,[],[f207]) ).
thf(f207,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))
<=> ( ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: int,X3: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))))
<=> ( ( zero_zero_int != X3 )
| ( zero_zero_int != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_sum__power2__gt__zero__iff) ).
thf(f664,plain,
spl1_19,
inference(avatar_split_clause,[],[f469,f661]) ).
thf(f469,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int),
inference(equality_resolution,[],[f468]) ).
thf(f468,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int))),zero_zero_int) )
| ( zero_zero_int != X0 ) ),
inference(equality_resolution,[],[f426]) ).
thf(f426,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) ),
inference(cnf_transformation,[],[f318]) ).
thf(f318,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) ) ) ),
inference(flattening,[],[f317]) ).
thf(f317,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) ) ) ),
inference(nnf_transformation,[],[f206]) ).
thf(f206,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int) )
<=> ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) ),
inference(fool_elimination,[],[f205]) ).
thf(f205,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1))),zero_zero_int)
<=> ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) ),
inference(rectify,[],[f49]) ).
thf(f49,axiom,
! [X35: int,X36: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X35),X35)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X36),X36))),zero_zero_int)
<=> ( ( zero_zero_int = X36 )
& ( zero_zero_int = X35 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_sum__squares__le__zero__iff) ).
thf(f638,plain,
spl1_18,
inference(avatar_split_clause,[],[f466,f635]) ).
thf(f466,plain,
zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),
inference(equality_resolution,[],[f465]) ).
thf(f465,plain,
! [X0: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != X0 ) ),
inference(equality_resolution,[],[f397]) ).
thf(f397,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) ),
inference(cnf_transformation,[],[f310]) ).
thf(f310,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ) ),
inference(flattening,[],[f309]) ).
thf(f309,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ) ),
inference(nnf_transformation,[],[f260]) ).
thf(f260,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
<=> ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X4: int,X5: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X4),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X5),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
<=> ( ( zero_zero_int = X5 )
& ( zero_zero_int = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_sum__power2__eq__zero__iff) ).
thf(f633,plain,
spl1_17,
inference(avatar_split_clause,[],[f464,f630]) ).
thf(f630,plain,
( spl1_17
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
thf(f464,plain,
zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)),
inference(equality_resolution,[],[f463]) ).
thf(f463,plain,
! [X0: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,zero_zero_int),zero_zero_int)) )
| ( zero_zero_int != X0 ) ),
inference(equality_resolution,[],[f394]) ).
thf(f394,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) ),
inference(cnf_transformation,[],[f308]) ).
thf(f308,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) ) ) ),
inference(flattening,[],[f307]) ).
thf(f307,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) ) ) ),
inference(nnf_transformation,[],[f259]) ).
thf(f259,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X0),X0)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X1),X1)) )
<=> ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) ),
inference(rectify,[],[f98]) ).
thf(f98,axiom,
! [X54: int,X55: int] :
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X54),X54)),vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,X55),X55)) )
<=> ( ( zero_zero_int = X55 )
& ( zero_zero_int = X54 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_sum__squares__eq__zero__iff) ).
thf(f616,plain,
~ spl1_16,
inference(avatar_split_clause,[],[f455,f613]) ).
thf(f455,plain,
$true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),
inference(equality_resolution,[],[f360]) ).
thf(f360,plain,
! [X0: int] :
( ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
inference(cnf_transformation,[],[f301]) ).
thf(f301,plain,
! [X0: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( zero_zero_int = X0 ) )
& ( ( zero_zero_int != X0 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ) ),
inference(nnf_transformation,[],[f144]) ).
thf(f144,plain,
! [X0: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
<=> ( zero_zero_int != X0 ) ),
inference(fool_elimination,[],[f143]) ).
thf(f143,plain,
! [X0: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))
<=> ( zero_zero_int != X0 ) ),
inference(rectify,[],[f12]) ).
thf(f12,axiom,
! [X7: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X7),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))))
<=> ( zero_zero_int != X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_zero__less__power2) ).
thf(f603,plain,
spl1_9,
inference(avatar_split_clause,[],[f454,f567]) ).
thf(f454,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(equality_resolution,[],[f348]) ).
thf(f348,plain,
! [X0: int] :
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != X0 ) ),
inference(cnf_transformation,[],[f300]) ).
thf(f300,plain,
! [X0: int] :
( ( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
| ( zero_zero_int != X0 ) )
& ( ( zero_zero_int = X0 )
| ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) ) ) ),
inference(nnf_transformation,[],[f244]) ).
thf(f244,plain,
! [X0: int] :
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
<=> ( zero_zero_int = X0 ) ),
inference(rectify,[],[f17]) ).
thf(f17,axiom,
! [X8: int] :
( ( zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X8),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))) )
<=> ( zero_zero_int = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_zero__eq__power2) ).
thf(f599,plain,
~ spl1_15,
inference(avatar_split_clause,[],[f335,f596]) ).
thf(f335,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $true,
inference(cnf_transformation,[],[f237]) ).
thf(f237,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $true,
inference(flattening,[],[f114]) ).
thf(f114,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) != $true,
inference(fool_elimination,[],[f113]) ).
thf(f113,plain,
~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__096_126_A1_A_060_061_At_096) ).
thf(f594,plain,
spl1_14,
inference(avatar_split_clause,[],[f334,f591]) ).
thf(f334,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),sK0),
inference(cnf_transformation,[],[f297]) ).
thf(f297,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f276,f296]) ).
thf(f296,plain,
( ? [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),X0) )
=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),sK0) ) ),
introduced(choice_axiom,[]) ).
thf(f276,plain,
? [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),X0) ),
inference(ennf_transformation,[],[f236]) ).
thf(f236,plain,
~ ! [X0: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),X0) ),
inference(rectify,[],[f21]) ).
thf(f21,axiom,
~ ! [X11: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) != vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_) ).
thf(f589,plain,
( ~ spl1_12
| spl1_13 ),
inference(avatar_split_clause,[],[f333,f586,f582]) ).
thf(f582,plain,
( spl1_12
<=> ( t = zero_zero_int ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
thf(f586,plain,
( spl1_13
<=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
thf(f333,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) )
| ( t != zero_zero_int ) ),
inference(cnf_transformation,[],[f275]) ).
thf(f275,plain,
( ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) )
| ( t != zero_zero_int ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,axiom,
( ( t = zero_zero_int )
=> ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_calculation_I2_J) ).
thf(f580,plain,
spl1_11,
inference(avatar_split_clause,[],[f332,f577]) ).
thf(f332,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int)),t) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
thf(f575,plain,
spl1_10,
inference(avatar_split_clause,[],[f331,f572]) ).
thf(f331,plain,
vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f66]) ).
thf(f66,axiom,
vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_nat__1__add__1) ).
thf(f570,plain,
spl1_9,
inference(avatar_split_clause,[],[f330,f567]) ).
thf(f330,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f16]) ).
thf(f16,axiom,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,zero_zero_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_zero__power2) ).
thf(f565,plain,
spl1_8,
inference(avatar_split_clause,[],[f329,f562]) ).
thf(f329,plain,
one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f14]) ).
thf(f14,axiom,
one_one_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,one_one_int),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_one__power2) ).
thf(f560,plain,
spl1_7,
inference(avatar_split_clause,[],[f328,f557]) ).
thf(f328,plain,
zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f15]) ).
thf(f15,axiom,
zero_zero_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,zero_zero_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_zero__power2) ).
thf(f555,plain,
spl1_6,
inference(avatar_split_clause,[],[f327,f552]) ).
thf(f327,plain,
one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f13]) ).
thf(f13,axiom,
one_one_nat = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power_nat,one_one_nat),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_one__power2) ).
thf(f550,plain,
spl1_5,
inference(avatar_split_clause,[],[f326,f546]) ).
thf(f326,plain,
one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)),
inference(cnf_transformation,[],[f84]) ).
thf(f84,axiom,
one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Numeral1__eq1__nat) ).
thf(f549,plain,
spl1_5,
inference(avatar_split_clause,[],[f325,f546]) ).
thf(f325,plain,
one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)),
inference(cnf_transformation,[],[f83]) ).
thf(f83,axiom,
one_one_nat = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit1,pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_nat__numeral__1__eq__1) ).
thf(f544,plain,
spl1_4,
inference(avatar_split_clause,[],[f324,f541]) ).
thf(f324,plain,
zero_zero_int = vAPP(int,int,number_number_of_int,pls),
inference(cnf_transformation,[],[f106]) ).
thf(f106,axiom,
zero_zero_int = vAPP(int,int,number_number_of_int,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_zero__is__num__zero) ).
thf(f539,plain,
spl1_3,
inference(avatar_split_clause,[],[f323,f535]) ).
thf(f323,plain,
zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls),
inference(cnf_transformation,[],[f63]) ).
thf(f63,axiom,
zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_semiring__norm_I113_J) ).
thf(f538,plain,
spl1_3,
inference(avatar_split_clause,[],[f322,f535]) ).
thf(f322,plain,
zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls),
inference(cnf_transformation,[],[f62]) ).
thf(f62,axiom,
zero_zero_nat = vAPP(int,nat,number_number_of_nat,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_nat__number__of__Pls) ).
thf(f533,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f321,f530]) ).
thf(f321,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) != $true,
inference(cnf_transformation,[],[f235]) ).
thf(f235,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) != $true,
inference(flattening,[],[f112]) ).
thf(f112,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int) != $true,
inference(fool_elimination,[],[f111]) ).
thf(f111,plain,
~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int),
inference(rectify,[],[f108]) ).
thf(f108,negated_conjecture,
~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int),
inference(negated_conjecture,[],[f107]) ).
thf(f107,conjecture,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,s),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),one_one_int)),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f528,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f109,f525]) ).
thf(f525,plain,
( spl1_1
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f109,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM924^1 : TPTP v8.2.0. Released v5.3.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 04:38:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (15630)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (15632)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (15637)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (15635)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (15633)WARNING: value z3 for option sas not known
% 0.11/0.34 % (15631)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (15634)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (15636)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (15633)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (15637)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.35 % Exception at run slice level
% 0.11/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.35 % Exception at run slice level
% 0.11/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.35 % Exception at run slice level
% 0.11/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % (15638)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.11/0.36 % (15639)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.11/0.37 % (15640)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.11/0.37 % (15638)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.37 % Exception at run slice level
% 0.11/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.37 % (15639)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.38 % (15641)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.19/0.65 % (15641)First to succeed.
% 2.56/0.71 % (15641)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15630"
% 2.56/0.72 % (15641)Refutation found. Thanks to Tanya!
% 2.56/0.72 % SZS status Theorem for theBenchmark
% 2.56/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.74 % (15641)------------------------------
% 2.56/0.74 % (15641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.56/0.74 % (15641)Termination reason: Refutation
% 2.56/0.74
% 2.56/0.74 % (15641)Memory used [KB]: 3297
% 2.56/0.74 % (15641)Time elapsed: 0.332 s
% 2.56/0.74 % (15641)Instructions burned: 896 (million)
% 2.56/0.74 % (15630)Success in time 0.397 s
%------------------------------------------------------------------------------