TSTP Solution File: SWW671_2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW671_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 19:20:55 EDT 2022
% Result : Theorem 68.63s 9.01s
% Output : Refutation 68.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 666
% Syntax : Number of formulae : 2790 ( 40 unt; 50 typ; 0 def)
% Number of atoms : 9741 (1935 equ)
% Maximal formula atoms : 50 ( 3 avg)
% Number of connectives : 11305 (4304 ~;6145 |; 212 &)
% ( 602 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 9925 (2425 atm;3520 fun;3573 num; 407 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 49 ( 26 >; 23 *; 0 +; 0 <<)
% Number of predicates : 597 ( 593 usr; 591 prp; 0-2 aty)
% Number of functors : 79 ( 41 usr; 52 con; 0-5 aty)
% Number of variables : 694 ( 647 !; 47 ?; 694 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
list_int: $tType ).
tff(type_def_10,type,
option_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_11: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_21: ( ty * uni ) > uni ).
tff(func_def_18,type,
length1: ( ty * uni ) > $int ).
tff(func_def_21,type,
option: ty > ty ).
tff(func_def_22,type,
none: ty > uni ).
tff(func_def_23,type,
some: ( ty * uni ) > uni ).
tff(func_def_24,type,
match_option1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_25,type,
some_proj_11: ( ty * uni ) > uni ).
tff(func_def_26,type,
nth1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb: option_int > uni ).
tff(func_def_29,type,
tb2t: uni > option_int ).
tff(func_def_30,type,
t2tb1: list_int > uni ).
tff(func_def_31,type,
tb2t1: uni > list_int ).
tff(func_def_32,type,
t2tb2: $int > uni ).
tff(func_def_33,type,
tb2t2: uni > $int ).
tff(func_def_35,type,
sK0: ( $int * list_int ) > $int ).
tff(func_def_36,type,
sK1: list_int > $int ).
tff(func_def_37,type,
sK2: $int ).
tff(func_def_38,type,
sK3: list_int ).
tff(func_def_39,type,
sK4: $int ).
tff(func_def_40,type,
sK5: $int ).
tff(func_def_41,type,
sK6: list_int ).
tff(func_def_42,type,
sK7: $int ).
tff(func_def_51,type,
'$inst9': $int ).
tff(func_def_52,type,
'$inst10': $int ).
tff(func_def_53,type,
'$inst11': $int ).
tff(func_def_84,type,
'$inst12': $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
zero_at1: ( list_int * $int ) > $o ).
tff(pred_def_5,type,
no_zero1: list_int > $o ).
tff(f10208,plain,
$false,
inference(avatar_smt_refutation,[],[f386,f391,f400,f409,f418,f435,f436,f437,f442,f443,f444,f445,f446,f447,f448,f449,f450,f451,f452,f453,f454,f455,f456,f462,f468,f470,f472,f474,f476,f478,f480,f482,f484,f486,f488,f490,f495,f497,f499,f501,f503,f505,f507,f509,f511,f513,f515,f517,f519,f521,f523,f525,f527,f529,f531,f533,f535,f537,f539,f541,f543,f545,f547,f549,f551,f553,f555,f557,f559,f561,f563,f565,f567,f569,f571,f573,f575,f577,f579,f581,f583,f585,f587,f589,f591,f593,f595,f597,f599,f601,f603,f605,f607,f609,f611,f613,f615,f617,f619,f621,f623,f629,f635,f642,f646,f652,f654,f656,f670,f675,f680,f687,f715,f724,f725,f726,f743,f748,f753,f758,f778,f804,f838,f847,f862,f895,f928,f938,f949,f996,f1002,f1009,f1020,f1034,f1039,f1044,f1049,f1054,f1059,f1064,f1069,f1074,f1080,f1083,f1084,f1092,f1097,f1102,f1108,f1110,f1116,f1123,f1135,f1142,f1146,f1158,f1168,f1174,f1175,f1188,f1193,f1194,f1203,f1216,f1231,f1246,f1253,f1259,f1280,f1289,f1290,f1308,f1317,f1318,f1354,f1399,f1408,f1436,f1449,f1464,f1473,f1474,f1483,f1540,f1637,f1663,f1676,f1694,f1707,f1725,f1730,f1735,f1740,f1743,f1749,f1754,f1759,f1764,f1769,f1779,f1784,f1787,f1857,f1866,f1875,f1876,f1890,f1892,f1907,f1916,f1925,f1926,f1936,f1938,f1975,f1980,f1985,f1990,f1995,f2000,f2005,f2010,f2015,f2020,f2021,f2026,f2027,f2028,f2033,f2038,f2039,f2044,f2049,f2054,f2083,f2085,f2099,f2127,f2132,f2133,f2211,f2233,f2257,f2266,f2275,f2276,f2314,f2328,f2333,f2348,f2366,f2390,f2401,f2408,f2414,f2421,f2427,f2433,f2439,f2481,f2600,f2693,f2739,f2833,f2846,f2851,f2864,f2975,f2980,f3021,f3050,f3055,f3090,f3106,f3111,f3120,f3125,f3126,f3127,f3128,f3142,f3157,f3198,f3228,f3233,f3238,f3262,f3287,f3300,f3317,f3342,f3367,f3375,f3376,f3386,f3406,f3411,f3416,f3438,f3477,f3490,f3526,f3536,f3622,f3627,f3628,f3641,f3654,f3684,f3707,f3712,f3713,f3718,f3726,f3731,f3737,f3742,f3743,f3744,f3746,f3747,f3749,f3751,f3752,f3766,f3812,f3840,f3845,f3905,f3910,f3970,f3975,f3990,f4007,f4008,f4062,f4067,f4072,f4077,f4083,f4088,f4093,f4097,f4098,f4110,f4114,f4116,f4117,f4119,f4120,f4123,f4129,f4130,f4136,f4137,f4145,f4168,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4189,f4190,f4236,f4237,f4276,f4289,f4326,f4339,f4368,f4373,f4435,f4448,f4475,f4484,f4527,f4532,f4614,f4627,f4665,f4677,f4686,f4715,f4716,f4737,f4750,f4775,f4789,f4825,f4830,f4869,f4882,f4907,f4916,f4934,f4977,f5036,f5041,f5067,f5085,f5121,f5130,f5153,f5158,f5164,f5172,f5177,f5208,f5213,f5308,f5317,f5325,f5330,f5334,f5357,f5365,f5376,f5383,f5399,f5408,f5413,f5414,f5419,f5420,f5421,f5452,f5535,f5540,f5545,f5550,f5571,f5644,f5653,f5658,f5663,f5668,f5673,f5682,f5691,f5700,f5705,f5710,f5715,f5724,f5729,f5734,f5739,f5757,f5815,f5823,f5832,f5837,f5841,f5872,f5892,f5903,f5910,f5915,f5919,f5922,f5925,f5928,f5931,f5934,f5938,f5940,f5953,f5975,f5984,f5988,f5997,f6029,f6038,f6044,f6113,f6126,f6199,f6208,f6217,f6226,f6235,f6248,f6249,f6258,f6259,f6260,f6261,f6306,f6319,f6374,f6379,f6424,f6445,f6458,f6487,f6496,f6547,f6571,f6613,f6683,f7077,f7081,f7089,f7097,f7101,f7105,f7113,f7121,f7125,f7129,f7137,f7145,f7149,f7153,f7157,f7161,f7169,f7177,f7181,f7189,f7264,f7271,f7277,f7283,f7288,f7293,f7298,f7303,f7309,f7315,f7321,f7327,f7336,f7342,f7428,f7433,f7451,f7526,f7550,f7597,f7609,f7690,f7703,f7744,f7756,f7847,f7901,f7906,f7919,f7938,f7950,f7954,f7981,f8025,f8038,f8075,f8476,f8518,f8523,f8528,f8533,f8538,f8543,f8548,f8553,f8558,f8563,f8568,f8573,f8578,f8583,f8588,f8593,f8598,f8603,f8608,f8613,f8618,f8712,f8725,f8869,f8874,f8914,f8983,f8988,f9008,f9091,f9146,f9151,f9164,f9179,f9214,f9219,f9259,f9596,f9609,f9652,f9661,f9692,f9697,f9699,f9725,f9766,f9774,f9775,f9780,f9789,f9794,f9795,f9796,f9797,f9801,f9802,f9824,f9833,f9841,f9842,f9846,f9847,f9848,f9849,f9871,f9876,f9880,f9885,f9894,f9895,f9899,f9900,f9905,f9906,f9907,f9956,f9961,f9984,f9985,f10064,f10083,f10103,f10107,f10136,f10141,f10146,f10151,f10157,f10181,f10207]) ).
tff(f10207,plain,
( spl8_19
| ~ spl8_581 ),
inference(avatar_split_clause,[],[f10206,f9981,f424]) ).
tff(f424,plain,
( spl8_19
<=> ( 0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
tff(f9981,plain,
( spl8_581
<=> ( t2tb2(0) = t2tb2(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_581])]) ).
tff(f10206,plain,
( ( 0 = sK4 )
| ~ spl8_581 ),
inference(forward_demodulation,[],[f10204,f180]) ).
tff(f180,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f96]) ).
tff(f96,plain,
! [X0: $int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X14: $int] : ( tb2t2(t2tb2(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2) ).
tff(f10204,plain,
( ( sK4 = tb2t2(t2tb2(0)) )
| ~ spl8_581 ),
inference(superposition,[],[f180,f9983]) ).
tff(f9983,plain,
( ( t2tb2(0) = t2tb2(sK4) )
| ~ spl8_581 ),
inference(avatar_component_clause,[],[f9981]) ).
tff(f10181,plain,
( ~ spl8_590
| ~ spl8_37
| spl8_579 ),
inference(avatar_split_clause,[],[f10168,f9953,f721,f10178]) ).
tff(f10178,plain,
( spl8_590
<=> $less(21,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_590])]) ).
tff(f721,plain,
( spl8_37
<=> $less(sK2,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).
tff(f9953,plain,
( spl8_579
<=> $less(21,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_579])]) ).
tff(f10168,plain,
( ~ $less(21,sK2)
| ~ spl8_37
| spl8_579 ),
inference(resolution,[],[f9955,f1149]) ).
tff(f1149,plain,
( ! [X0: $int] :
( $less(X0,sK7)
| ~ $less(X0,sK2) )
| ~ spl8_37 ),
inference(resolution,[],[f723,f59]) ).
tff(f59,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f723,plain,
( $less(sK2,sK7)
| ~ spl8_37 ),
inference(avatar_component_clause,[],[f721]) ).
tff(f9955,plain,
( ~ $less(21,sK7)
| spl8_579 ),
inference(avatar_component_clause,[],[f9953]) ).
tff(f10157,plain,
( ~ spl8_589
| spl8_223
| ~ spl8_581 ),
inference(avatar_split_clause,[],[f10152,f9981,f3284,f10154]) ).
tff(f10154,plain,
( spl8_589
<=> ( t2tb2(0) = t2tb2(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_589])]) ).
tff(f3284,plain,
( spl8_223
<=> ( t2tb2(sK4) = t2tb2(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_223])]) ).
tff(f10152,plain,
( ( t2tb2(0) != t2tb2(sK5) )
| spl8_223
| ~ spl8_581 ),
inference(backward_demodulation,[],[f3285,f9983]) ).
tff(f3285,plain,
( ( t2tb2(sK4) != t2tb2(sK5) )
| spl8_223 ),
inference(avatar_component_clause,[],[f3284]) ).
tff(f10151,plain,
( spl8_588
| ~ spl8_107
| ~ spl8_264 ),
inference(avatar_split_clause,[],[f10128,f3987,f1433,f10148]) ).
tff(f10148,plain,
( spl8_588
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_588])]) ).
tff(f1433,plain,
( spl8_107
<=> ( cons(int,t2tb2(0),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).
tff(f3987,plain,
( spl8_264
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_264])]) ).
tff(f10128,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3))) )
| ~ spl8_107
| ~ spl8_264 ),
inference(backward_demodulation,[],[f3989,f1434]) ).
tff(f1434,plain,
( ( cons(int,t2tb2(0),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_107 ),
inference(avatar_component_clause,[],[f1433]) ).
tff(f3989,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_264 ),
inference(avatar_component_clause,[],[f3987]) ).
tff(f10146,plain,
( ~ spl8_587
| ~ spl8_107
| spl8_179 ),
inference(avatar_split_clause,[],[f10127,f2325,f1433,f10143]) ).
tff(f10143,plain,
( spl8_587
<=> ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_587])]) ).
tff(f2325,plain,
( spl8_179
<=> ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_179])]) ).
tff(f10127,plain,
( ( some(int,t2tb2(0)) != nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3))) )
| ~ spl8_107
| spl8_179 ),
inference(backward_demodulation,[],[f2326,f1434]) ).
tff(f2326,plain,
( ( some(int,t2tb2(0)) != nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| spl8_179 ),
inference(avatar_component_clause,[],[f2325]) ).
tff(f10141,plain,
( ~ spl8_586
| ~ spl8_107
| spl8_165 ),
inference(avatar_split_clause,[],[f10126,f2046,f1433,f10138]) ).
tff(f10138,plain,
( spl8_586
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_586])]) ).
tff(f2046,plain,
( spl8_165
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_165])]) ).
tff(f10126,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_107
| spl8_165 ),
inference(backward_demodulation,[],[f2048,f1434]) ).
tff(f2048,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_165 ),
inference(avatar_component_clause,[],[f2046]) ).
tff(f10136,plain,
( ~ spl8_585
| ~ spl8_107
| spl8_164 ),
inference(avatar_split_clause,[],[f10125,f2041,f1433,f10133]) ).
tff(f10133,plain,
( spl8_585
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_585])]) ).
tff(f2041,plain,
( spl8_164
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_164])]) ).
tff(f10125,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_107
| spl8_164 ),
inference(backward_demodulation,[],[f2042,f1434]) ).
tff(f2042,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_164 ),
inference(avatar_component_clause,[],[f2041]) ).
tff(f10107,plain,
( spl8_582
| ~ spl8_75
| ~ spl8_386 ),
inference(avatar_split_clause,[],[f10106,f5907,f1120,f10061]) ).
tff(f10061,plain,
( spl8_582
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_582])]) ).
tff(f1120,plain,
( spl8_75
<=> ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).
tff(f5907,plain,
( spl8_386
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_386])]) ).
tff(f10106,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_75
| ~ spl8_386 ),
inference(forward_demodulation,[],[f5909,f1121]) ).
tff(f1121,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) )
| ~ spl8_75 ),
inference(avatar_component_clause,[],[f1120]) ).
tff(f5909,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_386 ),
inference(avatar_component_clause,[],[f5907]) ).
tff(f10103,plain,
( spl8_584
| ~ spl8_75
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f9998,f1470,f1120,f10100]) ).
tff(f10100,plain,
( spl8_584
<=> ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_584])]) ).
tff(f1470,plain,
( spl8_113
<=> ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_113])]) ).
tff(f9998,plain,
( ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_75
| ~ spl8_113 ),
inference(backward_demodulation,[],[f1472,f1121]) ).
tff(f1472,plain,
( ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_113 ),
inference(avatar_component_clause,[],[f1470]) ).
tff(f10083,plain,
( ~ spl8_583
| spl8_7
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f9987,f1120,f371,f10080]) ).
tff(f10080,plain,
( spl8_583
<=> zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_583])]) ).
tff(f371,plain,
( spl8_7
<=> zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
tff(f9987,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| spl8_7
| ~ spl8_75 ),
inference(backward_demodulation,[],[f373,f1121]) ).
tff(f373,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| spl8_7 ),
inference(avatar_component_clause,[],[f371]) ).
tff(f10064,plain,
( spl8_582
| ~ spl8_75
| ~ spl8_96
| ~ spl8_553 ),
inference(avatar_split_clause,[],[f10059,f9722,f1301,f1120,f10061]) ).
tff(f1301,plain,
( spl8_96
<=> ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).
tff(f9722,plain,
( spl8_553
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_553])]) ).
tff(f10059,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_75
| ~ spl8_96
| ~ spl8_553 ),
inference(forward_demodulation,[],[f10036,f1303]) ).
tff(f1303,plain,
( ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_96 ),
inference(avatar_component_clause,[],[f1301]) ).
tff(f10036,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_75
| ~ spl8_553 ),
inference(backward_demodulation,[],[f9724,f1121]) ).
tff(f9724,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_553 ),
inference(avatar_component_clause,[],[f9722]) ).
tff(f9985,plain,
( spl8_95
| spl8_94
| spl8_31 ),
inference(avatar_split_clause,[],[f4410,f672,f1282,f1286]) ).
tff(f1286,plain,
( spl8_95
<=> $less(0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).
tff(f1282,plain,
( spl8_94
<=> ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_94])]) ).
tff(f672,plain,
( spl8_31
<=> $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
tff(f4410,plain,
( ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_31 ),
inference(resolution,[],[f674,f60]) ).
tff(f60,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f674,plain,
( ~ $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_31 ),
inference(avatar_component_clause,[],[f672]) ).
tff(f9984,plain,
( spl8_581
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f9979,f1213,f9981]) ).
tff(f1213,plain,
( spl8_85
<=> ( some(int,t2tb2(0)) = some(int,t2tb2(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).
tff(f9979,plain,
( ( t2tb2(0) = t2tb2(sK4) )
| ~ spl8_85 ),
inference(forward_demodulation,[],[f9962,f2445]) ).
tff(f2445,plain,
! [X11: uni] : ( some_proj_11(int,some(int,X11)) = X11 ),
inference(resolution,[],[f319,f661]) ).
tff(f661,plain,
! [X1: uni] : sort1(int,X1),
inference(superposition,[],[f181,f311]) ).
tff(f311,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X15: uni] : ( t2tb2(tb2t2(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2) ).
tff(f181,plain,
! [X0: $int] : sort1(int,t2tb2(X0)),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0: $int] : sort1(int,t2tb2(X0)),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X1: $int] : sort1(int,t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f319,plain,
! [X0: uni,X1: ty] :
( ~ sort1(X1,X0)
| ( some_proj_11(X1,some(X1,X0)) = X0 ) ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: uni,X1: ty] :
( ( some_proj_11(X1,some(X1,X0)) = X0 )
| ~ sort1(X1,X0) ),
inference(ennf_transformation,[],[f91]) ).
tff(f91,plain,
! [X1: ty,X0: uni] :
( sort1(X1,X0)
=> ( some_proj_11(X1,some(X1,X0)) = X0 ) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X6: uni,X0: ty] :
( sort1(X0,X6)
=> ( some_proj_11(X0,some(X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_proj_1_def1) ).
tff(f9962,plain,
( ( t2tb2(sK4) = some_proj_11(int,some(int,t2tb2(0))) )
| ~ spl8_85 ),
inference(superposition,[],[f2445,f1214]) ).
tff(f1214,plain,
( ( some(int,t2tb2(0)) = some(int,t2tb2(sK4)) )
| ~ spl8_85 ),
inference(avatar_component_clause,[],[f1213]) ).
tff(f9961,plain,
( spl8_580
| ~ spl8_493
| ~ spl8_544 ),
inference(avatar_split_clause,[],[f9929,f9593,f7935,f9958]) ).
tff(f9958,plain,
( spl8_580
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),21) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_580])]) ).
tff(f7935,plain,
( spl8_493
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_493])]) ).
tff(f9593,plain,
( spl8_544
<=> $less(sK7,21) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_544])]) ).
tff(f9929,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),21)
| ~ spl8_493
| ~ spl8_544 ),
inference(resolution,[],[f9600,f7936]) ).
tff(f7936,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),sK7)
| ~ spl8_493 ),
inference(avatar_component_clause,[],[f7935]) ).
tff(f9600,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,21) )
| ~ spl8_544 ),
inference(resolution,[],[f9595,f59]) ).
tff(f9595,plain,
( $less(sK7,21)
| ~ spl8_544 ),
inference(avatar_component_clause,[],[f9593]) ).
tff(f9956,plain,
( ~ spl8_579
| ~ spl8_544 ),
inference(avatar_split_clause,[],[f9925,f9593,f9953]) ).
tff(f9925,plain,
( ~ $less(21,sK7)
| ~ spl8_544 ),
inference(interpreted_simplification,[],[f9924]) ).
tff(f9924,plain,
( ~ $less(21,sK7)
| $less(21,21)
| ~ spl8_544 ),
inference(instantiation,[],[f9600]) ).
tff(f9907,plain,
( spl8_572
| spl8_577
| spl8_326 ),
inference(avatar_split_clause,[],[f9863,f5169,f9897,f9873]) ).
tff(f9873,plain,
( spl8_572
<=> $less(0,$sum($sum(sK7,$uminus(sK2)),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_572])]) ).
tff(f9897,plain,
( spl8_577
<=> ! [X7: $int] :
( ( $product($sum($sum(sK7,$uminus(sK2)),-1),X7) = $product(0,X7) )
| $less(X7,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_577])]) ).
tff(f5169,plain,
( spl8_326
<=> $less($sum($sum(sK7,$uminus(sK2)),-1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_326])]) ).
tff(f9863,plain,
( ! [X8: $int] :
( ( $product(0,X8) = $product($sum($sum(sK7,$uminus(sK2)),-1),X8) )
| $less(X8,0)
| $less(0,$sum($sum(sK7,$uminus(sK2)),-1)) )
| spl8_326 ),
inference(resolution,[],[f5170,f2780]) ).
tff(f2780,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| $less(X2,0)
| ( $product(X1,X2) = $product(X0,X2) ) ),
inference(duplicate_literal_removal,[],[f2774]) ).
tff(f2774,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| $less(X2,0)
| ( $product(X1,X2) = $product(X0,X2) )
| $less(X2,0) ),
inference(resolution,[],[f851,f316]) ).
tff(f316,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X0,X2),$product(X1,X2))
| $less(X0,X1)
| $less(X2,0) ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X2,0)
| $less(X0,X1)
| ~ $less($product(X0,X2),$product(X1,X2)) ),
inference(rectify,[],[f110]) ).
tff(f110,plain,
! [X2: $int,X1: $int,X0: $int] :
( $less(X0,0)
| $less(X2,X1)
| ~ $less($product(X2,X0),$product(X1,X0)) ),
inference(flattening,[],[f109]) ).
tff(f109,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less($product(X2,X0),$product(X1,X0))
| $less(X0,0)
| $less(X2,X1) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less(X2,X1)
=> ( ~ $less(X0,0)
=> ~ $less($product(X2,X0),$product(X1,X0)) ) ),
inference(rectify,[],[f52]) ).
tff(f52,plain,
! [X4: $int,X1: $int,X7: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X4: $int,X1: $int,X7: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult) ).
tff(f851,plain,
! [X3: $int,X4: $int,X5: $int] :
( $less($product(X4,X5),$product(X3,X5))
| $less(X3,X4)
| $less(X5,0)
| ( $product(X4,X5) = $product(X3,X5) ) ),
inference(resolution,[],[f316,f60]) ).
tff(f5170,plain,
( ~ $less($sum($sum(sK7,$uminus(sK2)),-1),0)
| spl8_326 ),
inference(avatar_component_clause,[],[f5169]) ).
tff(f9906,plain,
( spl8_572
| spl8_570
| spl8_326 ),
inference(avatar_split_clause,[],[f9856,f5169,f9865,f9873]) ).
tff(f9865,plain,
( spl8_570
<=> ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_570])]) ).
tff(f9856,plain,
( ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| $less(0,$sum($sum(sK7,$uminus(sK2)),-1))
| spl8_326 ),
inference(resolution,[],[f5170,f60]) ).
tff(f9905,plain,
( spl8_578
| spl8_576
| ~ spl8_43
| spl8_326 ),
inference(avatar_split_clause,[],[f9855,f5169,f793,f9891,f9902]) ).
tff(f9902,plain,
( spl8_578
<=> ( $sum($sum(sK7,$uminus(sK2)),-1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_578])]) ).
tff(f9891,plain,
( spl8_576
<=> $less(sK2,$sum($sum(sK7,$uminus(sK2)),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_576])]) ).
tff(f793,plain,
( spl8_43
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).
tff(f9855,plain,
( $less(sK2,$sum($sum(sK7,$uminus(sK2)),-1))
| ( $sum($sum(sK7,$uminus(sK2)),-1) = sK2 )
| ~ spl8_43
| spl8_326 ),
inference(resolution,[],[f5170,f857]) ).
tff(f857,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less(sK2,X1)
| ( sK2 = X1 ) )
| ~ spl8_43 ),
inference(resolution,[],[f829,f60]) ).
tff(f829,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,0) )
| ~ spl8_43 ),
inference(resolution,[],[f795,f59]) ).
tff(f795,plain,
( $less(sK2,0)
| ~ spl8_43 ),
inference(avatar_component_clause,[],[f793]) ).
tff(f9900,plain,
( spl8_570
| spl8_576
| ~ spl8_43
| spl8_326 ),
inference(avatar_split_clause,[],[f9853,f5169,f793,f9891,f9865]) ).
tff(f9853,plain,
( $less(sK2,$sum($sum(sK7,$uminus(sK2)),-1))
| ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| ~ spl8_43
| spl8_326 ),
inference(resolution,[],[f5170,f2514]) ).
tff(f2514,plain,
( ! [X26: $int] :
( $less(X26,0)
| $less(sK2,X26)
| ( 0 = X26 ) )
| ~ spl8_43 ),
inference(resolution,[],[f702,f795]) ).
tff(f702,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ $less(X3,X1)
| $less(X3,X2)
| ( X1 = X2 )
| $less(X2,X1) ),
inference(resolution,[],[f60,f59]) ).
tff(f9899,plain,
( spl8_577
| spl8_572
| spl8_326 ),
inference(avatar_split_clause,[],[f9862,f5169,f9873,f9897]) ).
tff(f9862,plain,
( ! [X7: $int] :
( $less(0,$sum($sum(sK7,$uminus(sK2)),-1))
| ( $product($sum($sum(sK7,$uminus(sK2)),-1),X7) = $product(0,X7) )
| $less(X7,0) )
| spl8_326 ),
inference(resolution,[],[f5170,f2780]) ).
tff(f9895,plain,
( spl8_575
| spl8_574
| ~ spl8_102
| spl8_326 ),
inference(avatar_split_clause,[],[f9854,f5169,f1351,f9882,f9887]) ).
tff(f9887,plain,
( spl8_575
<=> ( sK7 = $sum($sum(sK7,$uminus(sK2)),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_575])]) ).
tff(f9882,plain,
( spl8_574
<=> $less(sK7,$sum($sum(sK7,$uminus(sK2)),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_574])]) ).
tff(f1351,plain,
( spl8_102
<=> $less(sK7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).
tff(f9854,plain,
( $less(sK7,$sum($sum(sK7,$uminus(sK2)),-1))
| ( sK7 = $sum($sum(sK7,$uminus(sK2)),-1) )
| ~ spl8_102
| spl8_326 ),
inference(resolution,[],[f5170,f1368]) ).
tff(f1368,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less(sK7,X1)
| ( sK7 = X1 ) )
| ~ spl8_102 ),
inference(resolution,[],[f1355,f60]) ).
tff(f1355,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,0) )
| ~ spl8_102 ),
inference(resolution,[],[f1353,f59]) ).
tff(f1353,plain,
( $less(sK7,0)
| ~ spl8_102 ),
inference(avatar_component_clause,[],[f1351]) ).
tff(f9894,plain,
( spl8_575
| spl8_576
| ~ spl8_37
| ~ spl8_102
| spl8_326 ),
inference(avatar_split_clause,[],[f9851,f5169,f1351,f721,f9891,f9887]) ).
tff(f9851,plain,
( $less(sK2,$sum($sum(sK7,$uminus(sK2)),-1))
| ( sK7 = $sum($sum(sK7,$uminus(sK2)),-1) )
| ~ spl8_37
| ~ spl8_102
| spl8_326 ),
inference(resolution,[],[f5170,f2581]) ).
tff(f2581,plain,
( ! [X1: $int] :
( $less(sK2,X1)
| $less(X1,0)
| ( sK7 = X1 ) )
| ~ spl8_37
| ~ spl8_102 ),
inference(resolution,[],[f2551,f1355]) ).
tff(f2551,plain,
( ! [X74: $int] :
( $less(sK2,X74)
| $less(X74,sK7)
| ( sK7 = X74 ) )
| ~ spl8_37 ),
inference(resolution,[],[f702,f723]) ).
tff(f9885,plain,
( spl8_574
| spl8_570
| ~ spl8_102
| spl8_326 ),
inference(avatar_split_clause,[],[f9852,f5169,f1351,f9865,f9882]) ).
tff(f9852,plain,
( ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| $less(sK7,$sum($sum(sK7,$uminus(sK2)),-1))
| ~ spl8_102
| spl8_326 ),
inference(resolution,[],[f5170,f2515]) ).
tff(f2515,plain,
( ! [X27: $int] :
( $less(X27,0)
| $less(sK7,X27)
| ( 0 = X27 ) )
| ~ spl8_102 ),
inference(resolution,[],[f702,f1353]) ).
tff(f9880,plain,
( spl8_573
| spl8_570
| spl8_326 ),
inference(avatar_split_clause,[],[f9858,f5169,f9865,f9878]) ).
tff(f9878,plain,
( spl8_573
<=> ! [X2: $int] :
( ( 0 = X2 )
| $less(0,X2)
| $less(X2,$sum($sum(sK7,$uminus(sK2)),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_573])]) ).
tff(f9858,plain,
( ! [X2: $int] :
( ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| ( 0 = X2 )
| $less(X2,$sum($sum(sK7,$uminus(sK2)),-1))
| $less(0,X2) )
| spl8_326 ),
inference(resolution,[],[f5170,f2507]) ).
tff(f2507,plain,
! [X16: $int,X17: $int,X15: $int] :
( $less(X16,X17)
| $less(X15,X16)
| $less(X17,X15)
| ( X16 = X17 )
| ( X15 = X17 ) ),
inference(resolution,[],[f702,f60]) ).
tff(f9876,plain,
( spl8_570
| spl8_572
| spl8_326 ),
inference(avatar_split_clause,[],[f9857,f5169,f9873,f9865]) ).
tff(f9857,plain,
( $less(0,$sum($sum(sK7,$uminus(sK2)),-1))
| ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| spl8_326 ),
inference(resolution,[],[f5170,f60]) ).
tff(f9871,plain,
( spl8_570
| spl8_571
| spl8_326 ),
inference(avatar_split_clause,[],[f9859,f5169,f9869,f9865]) ).
tff(f9869,plain,
( spl8_571
<=> ! [X3: $int] :
( ( $sum($sum(sK7,$uminus(sK2)),-1) = X3 )
| $less(X3,$sum($sum(sK7,$uminus(sK2)),-1))
| $less(0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_571])]) ).
tff(f9859,plain,
( ! [X3: $int] :
( ( $sum($sum(sK7,$uminus(sK2)),-1) = X3 )
| ( 0 = $sum($sum(sK7,$uminus(sK2)),-1) )
| $less(0,X3)
| $less(X3,$sum($sum(sK7,$uminus(sK2)),-1)) )
| spl8_326 ),
inference(resolution,[],[f5170,f2507]) ).
tff(f9849,plain,
( spl8_567
| spl8_564
| spl8_312 ),
inference(avatar_split_clause,[],[f9810,f4971,f9821,f9835]) ).
tff(f9835,plain,
( spl8_567
<=> ( 0 = $sum(sK7,$uminus($sum(sK2,1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_567])]) ).
tff(f9821,plain,
( spl8_564
<=> $less(0,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_564])]) ).
tff(f4971,plain,
( spl8_312
<=> $less($sum(sK7,$uminus($sum(sK2,1))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_312])]) ).
tff(f9810,plain,
( $less(0,$sum(sK7,$uminus($sum(sK2,1))))
| ( 0 = $sum(sK7,$uminus($sum(sK2,1))) )
| spl8_312 ),
inference(resolution,[],[f4972,f60]) ).
tff(f4972,plain,
( ~ $less($sum(sK7,$uminus($sum(sK2,1))),0)
| spl8_312 ),
inference(avatar_component_clause,[],[f4971]) ).
tff(f9848,plain,
( spl8_567
| spl8_565
| ~ spl8_102
| spl8_312 ),
inference(avatar_split_clause,[],[f9805,f4971,f1351,f9826,f9835]) ).
tff(f9826,plain,
( spl8_565
<=> $less(sK7,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_565])]) ).
tff(f9805,plain,
( $less(sK7,$sum(sK7,$uminus($sum(sK2,1))))
| ( 0 = $sum(sK7,$uminus($sum(sK2,1))) )
| ~ spl8_102
| spl8_312 ),
inference(resolution,[],[f4972,f2515]) ).
tff(f9847,plain,
( spl8_567
| spl8_564
| spl8_312 ),
inference(avatar_split_clause,[],[f9809,f4971,f9821,f9835]) ).
tff(f9809,plain,
( $less(0,$sum(sK7,$uminus($sum(sK2,1))))
| ( 0 = $sum(sK7,$uminus($sum(sK2,1))) )
| spl8_312 ),
inference(resolution,[],[f4972,f60]) ).
tff(f9846,plain,
( spl8_567
| spl8_569
| spl8_312 ),
inference(avatar_split_clause,[],[f9811,f4971,f9844,f9835]) ).
tff(f9844,plain,
( spl8_569
<=> ! [X2: $int] :
( $less(0,X2)
| $less(X2,$sum(sK7,$uminus($sum(sK2,1))))
| ( 0 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_569])]) ).
tff(f9811,plain,
( ! [X2: $int] :
( $less(0,X2)
| ( 0 = $sum(sK7,$uminus($sum(sK2,1))) )
| ( 0 = X2 )
| $less(X2,$sum(sK7,$uminus($sum(sK2,1)))) )
| spl8_312 ),
inference(resolution,[],[f4972,f2507]) ).
tff(f9842,plain,
( spl8_563
| spl8_564
| spl8_312 ),
inference(avatar_split_clause,[],[f9815,f4971,f9821,f9818]) ).
tff(f9818,plain,
( spl8_563
<=> ! [X8: $int] :
( ( $product(0,X8) = $product($sum(sK7,$uminus($sum(sK2,1))),X8) )
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_563])]) ).
tff(f9815,plain,
( ! [X7: $int] :
( $less(0,$sum(sK7,$uminus($sum(sK2,1))))
| $less(X7,0)
| ( $product(0,X7) = $product($sum(sK7,$uminus($sum(sK2,1))),X7) ) )
| spl8_312 ),
inference(resolution,[],[f4972,f2780]) ).
tff(f9841,plain,
( spl8_567
| spl8_568
| spl8_312 ),
inference(avatar_split_clause,[],[f9812,f4971,f9839,f9835]) ).
tff(f9839,plain,
( spl8_568
<=> ! [X3: $int] :
( $less(X3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(0,X3)
| ( $sum(sK7,$uminus($sum(sK2,1))) = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_568])]) ).
tff(f9812,plain,
( ! [X3: $int] :
( $less(X3,$sum(sK7,$uminus($sum(sK2,1))))
| ( 0 = $sum(sK7,$uminus($sum(sK2,1))) )
| ( $sum(sK7,$uminus($sum(sK2,1))) = X3 )
| $less(0,X3) )
| spl8_312 ),
inference(resolution,[],[f4972,f2507]) ).
tff(f9833,plain,
( spl8_565
| spl8_566
| ~ spl8_102
| spl8_312 ),
inference(avatar_split_clause,[],[f9807,f4971,f1351,f9830,f9826]) ).
tff(f9830,plain,
( spl8_566
<=> ( $sum(sK7,$uminus($sum(sK2,1))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_566])]) ).
tff(f9807,plain,
( ( $sum(sK7,$uminus($sum(sK2,1))) = sK7 )
| $less(sK7,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_102
| spl8_312 ),
inference(resolution,[],[f4972,f1368]) ).
tff(f9824,plain,
( spl8_563
| spl8_564
| spl8_312 ),
inference(avatar_split_clause,[],[f9816,f4971,f9821,f9818]) ).
tff(f9816,plain,
( ! [X8: $int] :
( $less(0,$sum(sK7,$uminus($sum(sK2,1))))
| ( $product(0,X8) = $product($sum(sK7,$uminus($sum(sK2,1))),X8) )
| $less(X8,0) )
| spl8_312 ),
inference(resolution,[],[f4972,f2780]) ).
tff(f9802,plain,
( spl8_561
| spl8_558
| ~ spl8_102
| spl8_271 ),
inference(avatar_split_clause,[],[f9749,f4085,f1351,f9777,f9791]) ).
tff(f9791,plain,
( spl8_561
<=> ( $sum(sK1(tb2t1(nil(int))),-1) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_561])]) ).
tff(f9777,plain,
( spl8_558
<=> $less(sK7,$sum(sK1(tb2t1(nil(int))),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_558])]) ).
tff(f4085,plain,
( spl8_271
<=> $less($sum(sK1(tb2t1(nil(int))),-1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_271])]) ).
tff(f9749,plain,
( $less(sK7,$sum(sK1(tb2t1(nil(int))),-1))
| ( $sum(sK1(tb2t1(nil(int))),-1) = sK7 )
| ~ spl8_102
| spl8_271 ),
inference(resolution,[],[f4087,f1368]) ).
tff(f4087,plain,
( ~ $less($sum(sK1(tb2t1(nil(int))),-1),0)
| spl8_271 ),
inference(avatar_component_clause,[],[f4085]) ).
tff(f9801,plain,
( spl8_554
| spl8_562
| spl8_271 ),
inference(avatar_split_clause,[],[f9753,f4085,f9799,f9760]) ).
tff(f9760,plain,
( spl8_554
<=> ( 0 = $sum(sK1(tb2t1(nil(int))),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_554])]) ).
tff(f9799,plain,
( spl8_562
<=> ! [X2: $int] :
( $less(X2,$sum(sK1(tb2t1(nil(int))),-1))
| ( 0 = X2 )
| $less(0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_562])]) ).
tff(f9753,plain,
( ! [X2: $int] :
( $less(X2,$sum(sK1(tb2t1(nil(int))),-1))
| $less(0,X2)
| ( 0 = X2 )
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) ) )
| spl8_271 ),
inference(resolution,[],[f4087,f2507]) ).
tff(f9797,plain,
( spl8_554
| spl8_560
| ~ spl8_43
| spl8_271 ),
inference(avatar_split_clause,[],[f9748,f4085,f793,f9786,f9760]) ).
tff(f9786,plain,
( spl8_560
<=> $less(sK2,$sum(sK1(tb2t1(nil(int))),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_560])]) ).
tff(f9748,plain,
( $less(sK2,$sum(sK1(tb2t1(nil(int))),-1))
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) )
| ~ spl8_43
| spl8_271 ),
inference(resolution,[],[f4087,f2514]) ).
tff(f9796,plain,
( spl8_556
| spl8_557
| spl8_271 ),
inference(avatar_split_clause,[],[f9758,f4085,f9772,f9768]) ).
tff(f9768,plain,
( spl8_556
<=> $less(0,$sum(sK1(tb2t1(nil(int))),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_556])]) ).
tff(f9772,plain,
( spl8_557
<=> ! [X7: $int] :
( ( $product(0,X7) = $product($sum(sK1(tb2t1(nil(int))),-1),X7) )
| $less(X7,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_557])]) ).
tff(f9758,plain,
( ! [X8: $int] :
( ( $product(0,X8) = $product($sum(sK1(tb2t1(nil(int))),-1),X8) )
| $less(0,$sum(sK1(tb2t1(nil(int))),-1))
| $less(X8,0) )
| spl8_271 ),
inference(resolution,[],[f4087,f2780]) ).
tff(f9795,plain,
( spl8_554
| spl8_556
| spl8_271 ),
inference(avatar_split_clause,[],[f9752,f4085,f9768,f9760]) ).
tff(f9752,plain,
( $less(0,$sum(sK1(tb2t1(nil(int))),-1))
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) )
| spl8_271 ),
inference(resolution,[],[f4087,f60]) ).
tff(f9794,plain,
( spl8_560
| spl8_561
| ~ spl8_37
| ~ spl8_102
| spl8_271 ),
inference(avatar_split_clause,[],[f9746,f4085,f1351,f721,f9791,f9786]) ).
tff(f9746,plain,
( ( $sum(sK1(tb2t1(nil(int))),-1) = sK7 )
| $less(sK2,$sum(sK1(tb2t1(nil(int))),-1))
| ~ spl8_37
| ~ spl8_102
| spl8_271 ),
inference(resolution,[],[f4087,f2581]) ).
tff(f9789,plain,
( spl8_559
| spl8_560
| ~ spl8_43
| spl8_271 ),
inference(avatar_split_clause,[],[f9750,f4085,f793,f9786,f9782]) ).
tff(f9782,plain,
( spl8_559
<=> ( $sum(sK1(tb2t1(nil(int))),-1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_559])]) ).
tff(f9750,plain,
( $less(sK2,$sum(sK1(tb2t1(nil(int))),-1))
| ( $sum(sK1(tb2t1(nil(int))),-1) = sK2 )
| ~ spl8_43
| spl8_271 ),
inference(resolution,[],[f4087,f857]) ).
tff(f9780,plain,
( spl8_554
| spl8_558
| ~ spl8_102
| spl8_271 ),
inference(avatar_split_clause,[],[f9747,f4085,f1351,f9777,f9760]) ).
tff(f9747,plain,
( $less(sK7,$sum(sK1(tb2t1(nil(int))),-1))
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) )
| ~ spl8_102
| spl8_271 ),
inference(resolution,[],[f4087,f2515]) ).
tff(f9775,plain,
( spl8_554
| spl8_556
| spl8_271 ),
inference(avatar_split_clause,[],[f9751,f4085,f9768,f9760]) ).
tff(f9751,plain,
( $less(0,$sum(sK1(tb2t1(nil(int))),-1))
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) )
| spl8_271 ),
inference(resolution,[],[f4087,f60]) ).
tff(f9774,plain,
( spl8_556
| spl8_557
| spl8_271 ),
inference(avatar_split_clause,[],[f9757,f4085,f9772,f9768]) ).
tff(f9757,plain,
( ! [X7: $int] :
( ( $product(0,X7) = $product($sum(sK1(tb2t1(nil(int))),-1),X7) )
| $less(0,$sum(sK1(tb2t1(nil(int))),-1))
| $less(X7,0) )
| spl8_271 ),
inference(resolution,[],[f4087,f2780]) ).
tff(f9766,plain,
( spl8_554
| spl8_555
| spl8_271 ),
inference(avatar_split_clause,[],[f9754,f4085,f9764,f9760]) ).
tff(f9764,plain,
( spl8_555
<=> ! [X3: $int] :
( ( $sum(sK1(tb2t1(nil(int))),-1) = X3 )
| $less(0,X3)
| $less(X3,$sum(sK1(tb2t1(nil(int))),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_555])]) ).
tff(f9754,plain,
( ! [X3: $int] :
( ( $sum(sK1(tb2t1(nil(int))),-1) = X3 )
| $less(X3,$sum(sK1(tb2t1(nil(int))),-1))
| $less(0,X3)
| ( 0 = $sum(sK1(tb2t1(nil(int))),-1) ) )
| spl8_271 ),
inference(resolution,[],[f4087,f2507]) ).
tff(f9725,plain,
( spl8_552
| spl8_553
| ~ spl8_187 ),
inference(avatar_split_clause,[],[f9712,f2411,f9722,f9719]) ).
tff(f9719,plain,
( spl8_552
<=> ! [X3: $int] :
( ~ $less(X3,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(X3,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_552])]) ).
tff(f2411,plain,
( spl8_187
<=> ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_187])]) ).
tff(f9712,plain,
( ! [X3: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ $less(X3,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(X3,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) ) )
| ~ spl8_187 ),
inference(trivial_inequality_removal,[],[f9706]) ).
tff(f9706,plain,
( ! [X3: $int] :
( ~ $less(X3,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(X3,0) )
| ~ spl8_187 ),
inference(superposition,[],[f2883,f2413]) ).
tff(f2413,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_187 ),
inference(avatar_component_clause,[],[f2411]) ).
tff(f2883,plain,
! [X2: $int,X0: uni,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X1,tb2t1(X0)),X0)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,X0)) )
| ~ $less(X2,X1)
| $less(X2,0) ),
inference(superposition,[],[f977,f314]) ).
tff(f314,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).
tff(f977,plain,
! [X2: $int,X0: $int,X1: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) )
| ~ $less(X2,X0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X1))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X1))) )
| $less(X2,0) ),
inference(resolution,[],[f169,f172]) ).
tff(f172,plain,
! [X2: $int,X0: $int,X1: list_int] :
( ~ zero_at1(X1,X0)
| ~ $less(X2,X0)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X1))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $int,X1: list_int] :
( ( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X0,t2tb1(X1))) )
& ! [X2: $int] :
( ~ $less(X2,X0)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X1))) ) ) )
| ~ zero_at1(X1,X0) )
& ( zero_at1(X1,X0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) )
| ( $less(sK0(X0,X1),X0)
& ~ $less(sK0(X0,X1),0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X1))) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f131]) ).
tff(f131,plain,
! [X0: $int,X1: list_int] :
( ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X1))) ) )
=> ( $less(sK0(X0,X1),X0)
& ~ $less(sK0(X0,X1),0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X1))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f130,plain,
! [X0: $int,X1: list_int] :
( ( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X0,t2tb1(X1))) )
& ! [X2: $int] :
( ~ $less(X2,X0)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X1))) ) ) )
| ~ zero_at1(X1,X0) )
& ( zero_at1(X1,X0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) )
| ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X1))) ) ) ) ),
inference(rectify,[],[f129]) ).
tff(f129,plain,
! [X1: $int,X0: list_int] :
( ( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ~ $less(X2,X1)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
| ~ zero_at1(X0,X1) )
& ( zero_at1(X0,X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ? [X2: $int] :
( $less(X2,X1)
& ~ $less(X2,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) ) ) ) ),
inference(flattening,[],[f128]) ).
tff(f128,plain,
! [X1: $int,X0: list_int] :
( ( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ~ $less(X2,X1)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
| ~ zero_at1(X0,X1) )
& ( zero_at1(X0,X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ? [X2: $int] :
( $less(X2,X1)
& ~ $less(X2,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) ) ) ) ),
inference(nnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X1: $int,X0: list_int] :
( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ~ $less(X2,X1)
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
<=> zero_at1(X0,X1) ),
inference(flattening,[],[f118]) ).
tff(f118,plain,
! [X0: list_int,X1: $int] :
( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) )
| $less(X2,0)
| ~ $less(X2,X1) ) )
<=> zero_at1(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: list_int,X1: $int] :
( ( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& ! [X2: $int] :
( ( ~ $less(X2,0)
& $less(X2,X1) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ) )
<=> zero_at1(X0,X1) ),
inference(rectify,[],[f49]) ).
tff(f49,plain,
! [X12: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( ~ $less(X15,0)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) ) )
<=> zero_at1(X12,X14) ),
inference(theory_normalization,[],[f43]) ).
tff(f43,axiom,
! [X12: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $lesseq(0,X15)
& $less(X15,X14) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) ) )
<=> zero_at1(X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_at_def) ).
tff(f169,plain,
! [X0: $int,X1: list_int] :
( zero_at1(X1,X0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X1))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f9699,plain,
( spl8_84
| spl8_550
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f9698,f793,f9690,f1200]) ).
tff(f1200,plain,
( spl8_84
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).
tff(f9690,plain,
( spl8_550
<=> ! [X6: $int,X7: uni,X8: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,X7)) )
| $less(sK2,sK0(X8,tb2t1(X7)))
| $less(X6,0)
| ~ $less(X6,X8)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X8,X7)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_550])]) ).
tff(f9698,plain,
( ! [X18: $int,X19: uni,X20: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X20,X19)) )
| $less(sK2,sK0(X20,tb2t1(X19)))
| ( 0 = sK2 )
| ~ $less(X18,X20)
| $less(X18,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X18,X19)) ) )
| ~ spl8_43 ),
inference(forward_subsumption_demodulation,[],[f9674,f9672]) ).
tff(f9672,plain,
( ! [X14: $int,X12: $int,X13: uni] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X12,X13)) )
| ~ $less(X12,X14)
| $less(sK2,sK0(X14,tb2t1(X13)))
| $less(X12,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X14,X13)) )
| ( 0 = sK0(X14,tb2t1(X13)) ) )
| ~ spl8_43 ),
inference(resolution,[],[f2876,f2514]) ).
tff(f2876,plain,
! [X2: $int,X0: uni,X1: $int] :
( ~ $less(sK0(X1,tb2t1(X0)),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,X0)) )
| $less(X2,0)
| ~ $less(X2,X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) ) ),
inference(superposition,[],[f960,f314]) ).
tff(f960,plain,
! [X3: $int,X4: $int,X5: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X5))) )
| $less(X3,0)
| ~ $less(sK0(X4,X5),0)
| ~ $less(X3,X4)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X5))) ) ),
inference(resolution,[],[f172,f170]) ).
tff(f170,plain,
! [X0: $int,X1: list_int] :
( zero_at1(X1,X0)
| ~ $less(sK0(X0,X1),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f9674,plain,
( ! [X18: $int,X19: uni,X20: $int] :
( $less(X18,0)
| ( sK0(X20,tb2t1(X19)) = sK2 )
| ~ $less(X18,X20)
| $less(sK2,sK0(X20,tb2t1(X19)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X18,X19)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X20,X19)) ) )
| ~ spl8_43 ),
inference(resolution,[],[f2876,f857]) ).
tff(f9697,plain,
( spl8_202
| spl8_551
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f9693,f1351,f9695,f2969]) ).
tff(f2969,plain,
( spl8_202
<=> ( 0 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_202])]) ).
tff(f9695,plain,
( spl8_551
<=> ! [X16: uni,X17: $int,X15: $int] :
( $less(sK7,sK0(X17,tb2t1(X16)))
| $less(X15,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X17,X16)) )
| ~ $less(X15,X17)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,X16)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_551])]) ).
tff(f9693,plain,
( ! [X16: uni,X17: $int,X15: $int] :
( $less(sK7,sK0(X17,tb2t1(X16)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,X16)) )
| ( 0 = sK7 )
| ~ $less(X15,X17)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X17,X16)) )
| $less(X15,0) )
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f9673,f9671]) ).
tff(f9671,plain,
( ! [X10: uni,X11: $int,X9: $int] :
( $less(X9,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X11,X10)) )
| ( 0 = sK0(X11,tb2t1(X10)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X9,X10)) )
| $less(sK7,sK0(X11,tb2t1(X10)))
| ~ $less(X9,X11) )
| ~ spl8_102 ),
inference(resolution,[],[f2876,f2515]) ).
tff(f9673,plain,
( ! [X16: uni,X17: $int,X15: $int] :
( $less(X15,0)
| ~ $less(X15,X17)
| ( sK7 = sK0(X17,tb2t1(X16)) )
| $less(sK7,sK0(X17,tb2t1(X16)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,X16)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X17,X16)) ) )
| ~ spl8_102 ),
inference(resolution,[],[f2876,f1368]) ).
tff(f9692,plain,
( spl8_202
| spl8_550
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f9688,f1351,f793,f721,f9690,f2969]) ).
tff(f9688,plain,
( ! [X8: $int,X6: $int,X7: uni] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,X7)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X8,X7)) )
| ~ $less(X6,X8)
| $less(X6,0)
| ( 0 = sK7 )
| $less(sK2,sK0(X8,tb2t1(X7))) )
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f9670,f9672]) ).
tff(f9670,plain,
( ! [X8: $int,X6: $int,X7: uni] :
( $less(sK2,sK0(X8,tb2t1(X7)))
| ~ $less(X6,X8)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,X7)) )
| $less(X6,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X8,X7)) )
| ( sK7 = sK0(X8,tb2t1(X7)) ) )
| ~ spl8_37
| ~ spl8_102 ),
inference(resolution,[],[f2876,f2581]) ).
tff(f9661,plain,
( spl8_548
| spl8_549
| ~ spl8_264 ),
inference(avatar_split_clause,[],[f9643,f3987,f9659,f9655]) ).
tff(f9655,plain,
( spl8_548
<=> $less($sum(sK7,$uminus(sK2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_548])]) ).
tff(f9659,plain,
( spl8_549
<=> ! [X1: $int] :
( ~ $less($sum(sK7,$uminus(sK2)),X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0(X1,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_549])]) ).
tff(f9643,plain,
( ! [X1: $int] :
( ~ $less($sum(sK7,$uminus(sK2)),X1)
| $less($sum(sK7,$uminus(sK2)),0)
| $less(sK0(X1,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,cons(int,t2tb2(sK4),t2tb1(sK3)))) ) )
| ~ spl8_264 ),
inference(trivial_inequality_removal,[],[f9634]) ).
tff(f9634,plain,
( ! [X1: $int] :
( $less($sum(sK7,$uminus(sK2)),0)
| ~ $less($sum(sK7,$uminus(sK2)),X1)
| $less(sK0(X1,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_264 ),
inference(superposition,[],[f2873,f3989]) ).
tff(f2873,plain,
! [X2: $int,X0: uni,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,X0)) )
| $less(X1,0)
| ~ $less(X1,X2)
| $less(sK0(X2,tb2t1(X0)),X2) ),
inference(superposition,[],[f959,f314]) ).
tff(f959,plain,
! [X2: list_int,X0: $int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X2))) )
| ~ $less(X0,X1)
| $less(sK0(X1,X2),X1)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X2))) )
| $less(X0,0) ),
inference(resolution,[],[f172,f171]) ).
tff(f171,plain,
! [X0: $int,X1: list_int] :
( zero_at1(X1,X0)
| $less(sK0(X0,X1),X0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f9652,plain,
( spl8_547
| spl8_31
| ~ spl8_187 ),
inference(avatar_split_clause,[],[f9647,f2411,f672,f9650]) ).
tff(f9650,plain,
( spl8_547
<=> ! [X3: $int] :
( ~ $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3)
| $less(sK0(X3,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_547])]) ).
tff(f9647,plain,
( ! [X3: $int] :
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0(X3,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3) )
| ~ spl8_187 ),
inference(trivial_inequality_removal,[],[f9636]) ).
tff(f9636,plain,
( ! [X3: $int] :
( ~ $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3)
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0(X3,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X3)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_187 ),
inference(superposition,[],[f2873,f2413]) ).
tff(f9609,plain,
( spl8_545
| spl8_546
| spl8_226
| ~ spl8_37
| ~ spl8_544 ),
inference(avatar_split_clause,[],[f9599,f9593,f721,f3310,f9606,f9602]) ).
tff(f9602,plain,
( spl8_545
<=> $less(sK2,21) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_545])]) ).
tff(f9606,plain,
( spl8_546
<=> ( sK2 = 21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_546])]) ).
tff(f3310,plain,
( spl8_226
<=> $less(sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_226])]) ).
tff(f9599,plain,
( $less(sK7,sK7)
| ( sK2 = 21 )
| $less(sK2,21)
| ~ spl8_37
| ~ spl8_544 ),
inference(resolution,[],[f9595,f1221]) ).
tff(f1221,plain,
( ! [X2: $int,X3: $int] :
( ~ $less(X2,X3)
| $less(sK2,X3)
| ( sK2 = X3 )
| $less(X2,sK7) )
| ~ spl8_37 ),
inference(resolution,[],[f1205,f60]) ).
tff(f1205,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,sK2)
| ~ $less(X1,X0)
| $less(X1,sK7) )
| ~ spl8_37 ),
inference(resolution,[],[f1149,f59]) ).
tff(f9596,plain,
( spl8_544
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f9590,f3260,f9593]) ).
tff(f3260,plain,
( spl8_222
<=> ! [X6: ty,X7: uni] : $less(sK7,$sum(2,length1(X6,X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_222])]) ).
tff(f9590,plain,
( $less(sK7,21)
| ~ spl8_222 ),
inference(evaluation,[],[f9588]) ).
tff(f9588,plain,
( $less(sK7,$sum(21,0))
| ~ spl8_222 ),
inference(superposition,[],[f9159,f323]) ).
tff(f323,plain,
! [X1: ty] : ( 0 = length1(X1,nil(X1)) ),
inference(equality_resolution,[],[f179]) ).
tff(f179,plain,
! [X0: uni,X1: ty] :
( ( 0 = length1(X1,X0) )
| ( nil(X1) != X0 ) ),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: uni,X1: ty] :
( ( ( 0 = length1(X1,X0) )
| ( nil(X1) != X0 ) )
& ( ( nil(X1) = X0 )
| ( 0 != length1(X1,X0) ) ) ),
inference(rectify,[],[f135]) ).
tff(f135,plain,
! [X1: uni,X0: ty] :
( ( ( 0 = length1(X0,X1) )
| ( nil(X0) != X1 ) )
& ( ( nil(X0) = X1 )
| ( 0 != length1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f103]) ).
tff(f103,plain,
! [X1: uni,X0: ty] :
( ( 0 = length1(X0,X1) )
<=> ( nil(X0) = X1 ) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X0: ty,X12: uni] :
( ( 0 = length1(X0,X12) )
<=> ( nil(X0) = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil) ).
tff(f9159,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(21,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f9157]) ).
tff(f9157,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(20,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f8706,f309]) ).
tff(f309,plain,
! [X2: uni,X0: ty,X1: uni] : ( $sum(1,length1(X0,X1)) = length1(X0,cons(X0,X2,X1)) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: ty] :
( ( 0 = length1(X0,nil(X0)) )
& ! [X1: uni,X2: uni] : ( $sum(1,length1(X0,X1)) = length1(X0,cons(X0,X2,X1)) ) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ( 0 = length1(X0,nil(X0)) )
& ! [X2: uni,X1: uni] : ( length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def) ).
tff(f8706,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(20,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f8705]) ).
tff(f8705,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(19,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f8019,f309]) ).
tff(f8019,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(19,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f8018]) ).
tff(f8018,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(18,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f7684,f309]) ).
tff(f7684,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(18,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f7683]) ).
tff(f7683,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(17,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f7520,f309]) ).
tff(f7520,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(17,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f7519]) ).
tff(f7519,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(16,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f6542,f309]) ).
tff(f6542,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(16,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f6540]) ).
tff(f6540,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(15,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f6439,f309]) ).
tff(f6439,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(15,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f6438]) ).
tff(f6438,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(14,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f6108,f309]) ).
tff(f6108,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(14,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f6106]) ).
tff(f6106,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(13,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f5565,f309]) ).
tff(f5565,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(13,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f5564]) ).
tff(f5564,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(12,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f5062,f309]) ).
tff(f5062,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(12,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f5060]) ).
tff(f5060,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(11,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f4863,f309]) ).
tff(f4863,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(11,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f4862]) ).
tff(f4862,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(10,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f4732,f309]) ).
tff(f4732,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(10,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f4730]) ).
tff(f4730,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(9,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f4609,f309]) ).
tff(f4609,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(9,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f4607]) ).
tff(f4607,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(8,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f4429,f309]) ).
tff(f4429,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(8,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f4428]) ).
tff(f4428,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(7,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f4271,f309]) ).
tff(f4271,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(7,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f4269]) ).
tff(f4269,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(6,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f3635,f309]) ).
tff(f3635,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(6,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f3634]) ).
tff(f3634,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(5,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f3471,f309]) ).
tff(f3471,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(5,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f3470]) ).
tff(f3470,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(4,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f3294,f309]) ).
tff(f3294,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(4,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f3293]) ).
tff(f3293,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(3,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f3269,f309]) ).
tff(f3269,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(3,length1(X1,X3)))
| ~ spl8_222 ),
inference(evaluation,[],[f3268]) ).
tff(f3268,plain,
( ! [X3: uni,X1: ty] : $less(sK7,$sum(2,$sum(1,length1(X1,X3))))
| ~ spl8_222 ),
inference(superposition,[],[f3261,f309]) ).
tff(f3261,plain,
( ! [X6: ty,X7: uni] : $less(sK7,$sum(2,length1(X6,X7)))
| ~ spl8_222 ),
inference(avatar_component_clause,[],[f3260]) ).
tff(f9259,plain,
( ~ spl8_543
| ~ spl8_37
| spl8_541 ),
inference(avatar_split_clause,[],[f9247,f9211,f721,f9256]) ).
tff(f9256,plain,
( spl8_543
<=> $less(20,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_543])]) ).
tff(f9211,plain,
( spl8_541
<=> $less(20,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_541])]) ).
tff(f9247,plain,
( ~ $less(20,sK2)
| ~ spl8_37
| spl8_541 ),
inference(resolution,[],[f9213,f1149]) ).
tff(f9213,plain,
( ~ $less(20,sK7)
| spl8_541 ),
inference(avatar_component_clause,[],[f9211]) ).
tff(f9219,plain,
( spl8_542
| ~ spl8_493
| ~ spl8_538 ),
inference(avatar_split_clause,[],[f9189,f9161,f7935,f9216]) ).
tff(f9216,plain,
( spl8_542
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),20) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_542])]) ).
tff(f9161,plain,
( spl8_538
<=> $less(sK7,20) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_538])]) ).
tff(f9189,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),20)
| ~ spl8_493
| ~ spl8_538 ),
inference(resolution,[],[f9170,f7936]) ).
tff(f9170,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,20) )
| ~ spl8_538 ),
inference(resolution,[],[f9163,f59]) ).
tff(f9163,plain,
( $less(sK7,20)
| ~ spl8_538 ),
inference(avatar_component_clause,[],[f9161]) ).
tff(f9214,plain,
( ~ spl8_541
| ~ spl8_538 ),
inference(avatar_split_clause,[],[f9185,f9161,f9211]) ).
tff(f9185,plain,
( ~ $less(20,sK7)
| ~ spl8_538 ),
inference(interpreted_simplification,[],[f9184]) ).
tff(f9184,plain,
( ~ $less(20,sK7)
| $less(20,20)
| ~ spl8_538 ),
inference(instantiation,[],[f9170]) ).
tff(f9179,plain,
( spl8_539
| spl8_226
| spl8_540
| ~ spl8_37
| ~ spl8_538 ),
inference(avatar_split_clause,[],[f9169,f9161,f721,f9176,f3310,f9172]) ).
tff(f9172,plain,
( spl8_539
<=> $less(sK2,20) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_539])]) ).
tff(f9176,plain,
( spl8_540
<=> ( sK2 = 20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_540])]) ).
tff(f9169,plain,
( ( sK2 = 20 )
| $less(sK7,sK7)
| $less(sK2,20)
| ~ spl8_37
| ~ spl8_538 ),
inference(resolution,[],[f9163,f1221]) ).
tff(f9164,plain,
( spl8_538
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f9158,f3260,f9161]) ).
tff(f9158,plain,
( $less(sK7,20)
| ~ spl8_222 ),
inference(evaluation,[],[f9156]) ).
tff(f9156,plain,
( $less(sK7,$sum(20,0))
| ~ spl8_222 ),
inference(superposition,[],[f8706,f323]) ).
tff(f9151,plain,
( spl8_36
| spl8_537
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f9147,f1351,f793,f721,f9149,f717]) ).
tff(f717,plain,
( spl8_36
<=> ( sK7 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).
tff(f9149,plain,
( spl8_537
<=> ! [X4: $int,X5: uni] :
( $less(sK2,sK1(tb2t1(X5)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,X5)) )
| $less(X4,0)
| ~ $less(X4,length1(int,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_537])]) ).
tff(f9147,plain,
( ! [X4: $int,X5: uni] :
( $less(sK2,sK1(tb2t1(X5)))
| ~ $less(X4,length1(int,X5))
| $less(X4,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,X5)) )
| ( sK7 = sK2 ) )
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f9127,f9131]) ).
tff(f9131,plain,
( ! [X12: $int,X13: uni] :
( ( sK2 = sK1(tb2t1(X13)) )
| $less(sK2,sK1(tb2t1(X13)))
| ~ $less(X12,length1(int,X13))
| $less(X12,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X12,X13)) ) )
| ~ spl8_43 ),
inference(resolution,[],[f2812,f857]) ).
tff(f2812,plain,
! [X0: uni,X1: $int] :
( ~ $less(sK1(tb2t1(X0)),0)
| ~ $less(X1,length1(int,X0))
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) ) ),
inference(superposition,[],[f965,f314]) ).
tff(f965,plain,
! [X4: $int,X5: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X5))) )
| $less(X4,0)
| ~ $less(sK1(X5),0)
| ~ $less(X4,length1(int,t2tb1(X5))) ),
inference(resolution,[],[f196,f198]) ).
tff(f198,plain,
! [X0: list_int] :
( no_zero1(X0)
| ~ $less(sK1(X0),0) ),
inference(cnf_transformation,[],[f146]) ).
tff(f146,plain,
! [X0: list_int] :
( ( no_zero1(X0)
| ( $less(sK1(X0),length1(int,t2tb1(X0)))
& ~ $less(sK1(X0),0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(X0),t2tb1(X0))) ) ) )
& ( ! [X2: $int] :
( ~ $less(X2,length1(int,t2tb1(X0)))
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) )
| ~ no_zero1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f144,f145]) ).
tff(f145,plain,
! [X0: list_int] :
( ? [X1: $int] :
( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) ) )
=> ( $less(sK1(X0),length1(int,t2tb1(X0)))
& ~ $less(sK1(X0),0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(X0),t2tb1(X0))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f144,plain,
! [X0: list_int] :
( ( no_zero1(X0)
| ? [X1: $int] :
( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) ) ) )
& ( ! [X2: $int] :
( ~ $less(X2,length1(int,t2tb1(X0)))
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) )
| ~ no_zero1(X0) ) ),
inference(rectify,[],[f143]) ).
tff(f143,plain,
! [X0: list_int] :
( ( no_zero1(X0)
| ? [X1: $int] :
( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0)
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) ) ) )
& ( ! [X1: $int] :
( ~ $less(X1,length1(int,t2tb1(X0)))
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) )
| ~ no_zero1(X0) ) ),
inference(nnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: list_int] :
( no_zero1(X0)
<=> ! [X1: $int] :
( ~ $less(X1,length1(int,t2tb1(X0)))
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ) ),
inference(flattening,[],[f111]) ).
tff(f111,plain,
! [X0: list_int] :
( no_zero1(X0)
<=> ! [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ~ $less(X1,length1(int,t2tb1(X0)))
| $less(X1,0) ) ),
inference(ennf_transformation,[],[f90]) ).
tff(f90,plain,
! [X0: list_int] :
( no_zero1(X0)
<=> ! [X1: $int] :
( ( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ) ),
inference(rectify,[],[f50]) ).
tff(f50,plain,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& ~ $less(X15,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
inference(theory_normalization,[],[f44]) ).
tff(f44,axiom,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_zero_def) ).
tff(f196,plain,
! [X2: $int,X0: list_int] :
( ~ no_zero1(X0)
| ~ $less(X2,length1(int,t2tb1(X0)))
| $less(X2,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) ),
inference(cnf_transformation,[],[f146]) ).
tff(f9127,plain,
( ! [X4: $int,X5: uni] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,X5)) )
| ~ $less(X4,length1(int,X5))
| ( sK7 = sK1(tb2t1(X5)) )
| $less(X4,0)
| $less(sK2,sK1(tb2t1(X5))) )
| ~ spl8_37
| ~ spl8_102 ),
inference(resolution,[],[f2812,f2581]) ).
tff(f9146,plain,
( spl8_536
| spl8_202
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f9142,f1351,f2969,f9144]) ).
tff(f9144,plain,
( spl8_536
<=> ! [X11: uni,X10: $int] :
( $less(X10,0)
| $less(sK7,sK1(tb2t1(X11)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,X11)) )
| ~ $less(X10,length1(int,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_536])]) ).
tff(f9142,plain,
( ! [X10: $int,X11: uni] :
( ( 0 = sK7 )
| $less(X10,0)
| ~ $less(X10,length1(int,X11))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,X11)) )
| $less(sK7,sK1(tb2t1(X11))) )
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f9130,f9128]) ).
tff(f9128,plain,
( ! [X6: $int,X7: uni] :
( $less(X6,0)
| $less(sK7,sK1(tb2t1(X7)))
| ( 0 = sK1(tb2t1(X7)) )
| ~ $less(X6,length1(int,X7))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,X7)) ) )
| ~ spl8_102 ),
inference(resolution,[],[f2812,f2515]) ).
tff(f9130,plain,
( ! [X10: $int,X11: uni] :
( $less(X10,0)
| ( sK1(tb2t1(X11)) = sK7 )
| $less(sK7,sK1(tb2t1(X11)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,X11)) )
| ~ $less(X10,length1(int,X11)) )
| ~ spl8_102 ),
inference(resolution,[],[f2812,f1368]) ).
tff(f9091,plain,
( spl8_400
| spl8_534
| spl8_535
| ~ spl8_77
| ~ spl8_205
| ~ spl8_490 ),
inference(avatar_split_clause,[],[f9066,f7903,f3018,f1139,f9088,f9084,f6196]) ).
tff(f6196,plain,
( spl8_400
<=> $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_400])]) ).
tff(f9084,plain,
( spl8_534
<=> $less(-11,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_534])]) ).
tff(f9088,plain,
( spl8_535
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_535])]) ).
tff(f1139,plain,
( spl8_77
<=> $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).
tff(f3018,plain,
( spl8_205
<=> $less(sK1(sK3),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_205])]) ).
tff(f7903,plain,
( spl8_490
<=> $less(-11,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_490])]) ).
tff(f9066,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = -11 )
| $less(-11,$sum(1,length1(int,t2tb1(sK3))))
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_490 ),
inference(resolution,[],[f8972,f4628]) ).
tff(f4628,plain,
( ! [X0: $int] :
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X0)
| ( $sum(1,length1(int,t2tb1(sK3))) = X0 )
| $less(X0,$sum(1,length1(int,t2tb1(sK3)))) )
| ~ spl8_77 ),
inference(resolution,[],[f1141,f702]) ).
tff(f1141,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77 ),
inference(avatar_component_clause,[],[f1139]) ).
tff(f8972,plain,
( ! [X0: $int] :
( ~ $less(X0,-11)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_490 ),
inference(resolution,[],[f7924,f3025]) ).
tff(f3025,plain,
( ! [X1: $int] :
( ~ $less(X1,sK1(sK3))
| $less(X1,2) )
| ~ spl8_205 ),
inference(resolution,[],[f3020,f59]) ).
tff(f3020,plain,
( $less(sK1(sK3),2)
| ~ spl8_205 ),
inference(avatar_component_clause,[],[f3018]) ).
tff(f7924,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-11) )
| ~ spl8_490 ),
inference(resolution,[],[f7905,f59]) ).
tff(f7905,plain,
( $less(-11,sK1(sK3))
| ~ spl8_490 ),
inference(avatar_component_clause,[],[f7903]) ).
tff(f9008,plain,
( spl8_532
| spl8_533
| spl8_531 ),
inference(avatar_split_clause,[],[f8996,f8985,f9006,f9002]) ).
tff(f9002,plain,
( spl8_532
<=> ( sK1(sK3) = -11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_532])]) ).
tff(f9006,plain,
( spl8_533
<=> ! [X0: $int] :
( ( -11 = X0 )
| $less(X0,sK1(sK3))
| $less(-11,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_533])]) ).
tff(f8985,plain,
( spl8_531
<=> $less(sK1(sK3),-11) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_531])]) ).
tff(f8996,plain,
( ! [X0: $int] :
( ( -11 = X0 )
| $less(-11,X0)
| $less(X0,sK1(sK3))
| ( sK1(sK3) = -11 ) )
| spl8_531 ),
inference(resolution,[],[f8987,f2507]) ).
tff(f8987,plain,
( ~ $less(sK1(sK3),-11)
| spl8_531 ),
inference(avatar_component_clause,[],[f8985]) ).
tff(f8988,plain,
( ~ spl8_531
| ~ spl8_490 ),
inference(avatar_split_clause,[],[f8973,f7903,f8985]) ).
tff(f8973,plain,
( ~ $less(sK1(sK3),-11)
| ~ spl8_490 ),
inference(resolution,[],[f7924,f58]) ).
tff(f58,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f8983,plain,
( spl8_530
| ~ spl8_490 ),
inference(avatar_split_clause,[],[f8971,f7903,f8980]) ).
tff(f8980,plain,
( spl8_530
<=> $less(-12,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_530])]) ).
tff(f8971,plain,
( $less(-12,sK1(sK3))
| ~ spl8_490 ),
inference(interpreted_simplification,[],[f8970]) ).
tff(f8970,plain,
( $less(-12,sK1(sK3))
| ~ $less(-12,-11)
| ~ spl8_490 ),
inference(instantiation,[],[f7924]) ).
tff(f8914,plain,
( ~ spl8_529
| ~ spl8_37
| spl8_527 ),
inference(avatar_split_clause,[],[f8902,f8866,f721,f8911]) ).
tff(f8911,plain,
( spl8_529
<=> $less(19,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_529])]) ).
tff(f8866,plain,
( spl8_527
<=> $less(19,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_527])]) ).
tff(f8902,plain,
( ~ $less(19,sK2)
| ~ spl8_37
| spl8_527 ),
inference(resolution,[],[f8868,f1149]) ).
tff(f8868,plain,
( ~ $less(19,sK7)
| spl8_527 ),
inference(avatar_component_clause,[],[f8866]) ).
tff(f8874,plain,
( spl8_528
| ~ spl8_493
| ~ spl8_524 ),
inference(avatar_split_clause,[],[f8844,f8709,f7935,f8871]) ).
tff(f8871,plain,
( spl8_528
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),19) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_528])]) ).
tff(f8709,plain,
( spl8_524
<=> $less(sK7,19) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_524])]) ).
tff(f8844,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),19)
| ~ spl8_493
| ~ spl8_524 ),
inference(resolution,[],[f8716,f7936]) ).
tff(f8716,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,19) )
| ~ spl8_524 ),
inference(resolution,[],[f8711,f59]) ).
tff(f8711,plain,
( $less(sK7,19)
| ~ spl8_524 ),
inference(avatar_component_clause,[],[f8709]) ).
tff(f8869,plain,
( ~ spl8_527
| ~ spl8_524 ),
inference(avatar_split_clause,[],[f8840,f8709,f8866]) ).
tff(f8840,plain,
( ~ $less(19,sK7)
| ~ spl8_524 ),
inference(interpreted_simplification,[],[f8839]) ).
tff(f8839,plain,
( ~ $less(19,sK7)
| $less(19,19)
| ~ spl8_524 ),
inference(instantiation,[],[f8716]) ).
tff(f8725,plain,
( spl8_525
| spl8_526
| spl8_226
| ~ spl8_37
| ~ spl8_524 ),
inference(avatar_split_clause,[],[f8715,f8709,f721,f3310,f8722,f8718]) ).
tff(f8718,plain,
( spl8_525
<=> $less(sK2,19) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_525])]) ).
tff(f8722,plain,
( spl8_526
<=> ( sK2 = 19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_526])]) ).
tff(f8715,plain,
( $less(sK7,sK7)
| ( sK2 = 19 )
| $less(sK2,19)
| ~ spl8_37
| ~ spl8_524 ),
inference(resolution,[],[f8711,f1221]) ).
tff(f8712,plain,
( spl8_524
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f8707,f3260,f8709]) ).
tff(f8707,plain,
( $less(sK7,19)
| ~ spl8_222 ),
inference(evaluation,[],[f8704]) ).
tff(f8704,plain,
( $less(sK7,$sum(19,0))
| ~ spl8_222 ),
inference(superposition,[],[f8019,f323]) ).
tff(f8618,plain,
( spl8_523
| ~ spl8_236
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8493,f7935,f3474,f8615]) ).
tff(f8615,plain,
( spl8_523
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_523])]) ).
tff(f3474,plain,
( spl8_236
<=> $less(sK7,4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_236])]) ).
tff(f8493,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),4)
| ~ spl8_236
| ~ spl8_493 ),
inference(resolution,[],[f7936,f3481]) ).
tff(f3481,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,4) )
| ~ spl8_236 ),
inference(resolution,[],[f3476,f59]) ).
tff(f3476,plain,
( $less(sK7,4)
| ~ spl8_236 ),
inference(avatar_component_clause,[],[f3474]) ).
tff(f8613,plain,
( spl8_522
| ~ spl8_22
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8496,f7935,f439,f8610]) ).
tff(f8610,plain,
( spl8_522
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_522])]) ).
tff(f439,plain,
( spl8_22
<=> $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
tff(f8496,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ spl8_22
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4293]) ).
tff(f4293,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) )
| ~ spl8_22 ),
inference(resolution,[],[f441,f59]) ).
tff(f441,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f439]) ).
tff(f8608,plain,
( spl8_521
| ~ spl8_276
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8495,f7935,f4273,f8605]) ).
tff(f8605,plain,
( spl8_521
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_521])]) ).
tff(f4273,plain,
( spl8_276
<=> $less(sK7,6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_276])]) ).
tff(f8495,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),6)
| ~ spl8_276
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4280]) ).
tff(f4280,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,6) )
| ~ spl8_276 ),
inference(resolution,[],[f4275,f59]) ).
tff(f4275,plain,
( $less(sK7,6)
| ~ spl8_276 ),
inference(avatar_component_clause,[],[f4273]) ).
tff(f8603,plain,
( spl8_520
| ~ spl8_493
| ~ spl8_498 ),
inference(avatar_split_clause,[],[f8509,f8022,f7935,f8600]) ).
tff(f8600,plain,
( spl8_520
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),18) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_520])]) ).
tff(f8022,plain,
( spl8_498
<=> $less(sK7,18) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_498])]) ).
tff(f8509,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),18)
| ~ spl8_493
| ~ spl8_498 ),
inference(resolution,[],[f7936,f8029]) ).
tff(f8029,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,18) )
| ~ spl8_498 ),
inference(resolution,[],[f8024,f59]) ).
tff(f8024,plain,
( $less(sK7,18)
| ~ spl8_498 ),
inference(avatar_component_clause,[],[f8022]) ).
tff(f8598,plain,
( spl8_519
| ~ spl8_283
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8498,f7935,f4432,f8595]) ).
tff(f8595,plain,
( spl8_519
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_519])]) ).
tff(f4432,plain,
( spl8_283
<=> $less(sK7,7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_283])]) ).
tff(f8498,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),7)
| ~ spl8_283
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4439]) ).
tff(f4439,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,7) )
| ~ spl8_283 ),
inference(resolution,[],[f4434,f59]) ).
tff(f4434,plain,
( $less(sK7,7)
| ~ spl8_283 ),
inference(avatar_component_clause,[],[f4432]) ).
tff(f8593,plain,
( spl8_518
| ~ spl8_27
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8497,f7935,f632,f8590]) ).
tff(f8590,plain,
( spl8_518
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_518])]) ).
tff(f632,plain,
( spl8_27
<=> $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
tff(f8497,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_27
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4297]) ).
tff(f4297,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) )
| ~ spl8_27 ),
inference(resolution,[],[f633,f59]) ).
tff(f633,plain,
( $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_27 ),
inference(avatar_component_clause,[],[f632]) ).
tff(f8588,plain,
( spl8_517
| ~ spl8_168
| ~ spl8_205
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8491,f7935,f3018,f2124,f8585]) ).
tff(f8585,plain,
( spl8_517
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_517])]) ).
tff(f2124,plain,
( spl8_168
<=> $less(sK7,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_168])]) ).
tff(f8491,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),2)
| ~ spl8_168
| ~ spl8_205
| ~ spl8_493 ),
inference(resolution,[],[f7936,f3028]) ).
tff(f3028,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,2) )
| ~ spl8_168
| ~ spl8_205 ),
inference(resolution,[],[f3025,f2137]) ).
tff(f2137,plain,
( ! [X0: $int] :
( $less(X0,sK1(sK3))
| ~ $less(X0,sK7) )
| ~ spl8_168 ),
inference(resolution,[],[f2126,f59]) ).
tff(f2126,plain,
( $less(sK7,sK1(sK3))
| ~ spl8_168 ),
inference(avatar_component_clause,[],[f2124]) ).
tff(f8583,plain,
( spl8_516
| ~ spl8_290
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8499,f7935,f4611,f8580]) ).
tff(f8580,plain,
( spl8_516
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),8) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_516])]) ).
tff(f4611,plain,
( spl8_290
<=> $less(sK7,8) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_290])]) ).
tff(f8499,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),8)
| ~ spl8_290
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4618]) ).
tff(f4618,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,8) )
| ~ spl8_290 ),
inference(resolution,[],[f4613,f59]) ).
tff(f4613,plain,
( $less(sK7,8)
| ~ spl8_290 ),
inference(avatar_component_clause,[],[f4611]) ).
tff(f8578,plain,
( spl8_515
| ~ spl8_163
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8489,f7935,f2035,f8575]) ).
tff(f8575,plain,
( spl8_515
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_515])]) ).
tff(f2035,plain,
( spl8_163
<=> $less(sK7,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_163])]) ).
tff(f8489,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),sK1(tb2t1(nil(int))))
| ~ spl8_163
| ~ spl8_493 ),
inference(resolution,[],[f7936,f2153]) ).
tff(f2153,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_163 ),
inference(resolution,[],[f2037,f59]) ).
tff(f2037,plain,
( $less(sK7,sK1(tb2t1(nil(int))))
| ~ spl8_163 ),
inference(avatar_component_clause,[],[f2035]) ).
tff(f8573,plain,
( spl8_514
| ~ spl8_352
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8503,f7935,f5568,f8570]) ).
tff(f8570,plain,
( spl8_514
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),12) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_514])]) ).
tff(f5568,plain,
( spl8_352
<=> $less(sK7,12) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_352])]) ).
tff(f8503,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),12)
| ~ spl8_352
| ~ spl8_493 ),
inference(resolution,[],[f7936,f5748]) ).
tff(f5748,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,12) )
| ~ spl8_352 ),
inference(resolution,[],[f5570,f59]) ).
tff(f5570,plain,
( $less(sK7,12)
| ~ spl8_352 ),
inference(avatar_component_clause,[],[f5568]) ).
tff(f8568,plain,
( spl8_513
| ~ spl8_306
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8501,f7935,f4866,f8565]) ).
tff(f8565,plain,
( spl8_513
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),10) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_513])]) ).
tff(f4866,plain,
( spl8_306
<=> $less(sK7,10) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_306])]) ).
tff(f8501,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),10)
| ~ spl8_306
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4873]) ).
tff(f4873,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,10) )
| ~ spl8_306 ),
inference(resolution,[],[f4868,f59]) ).
tff(f4868,plain,
( $less(sK7,10)
| ~ spl8_306 ),
inference(avatar_component_clause,[],[f4866]) ).
tff(f8563,plain,
( spl8_512
| ~ spl8_420
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8505,f7935,f6442,f8560]) ).
tff(f8560,plain,
( spl8_512
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),14) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_512])]) ).
tff(f6442,plain,
( spl8_420
<=> $less(sK7,14) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_420])]) ).
tff(f8505,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),14)
| ~ spl8_420
| ~ spl8_493 ),
inference(resolution,[],[f7936,f6449]) ).
tff(f6449,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,14) )
| ~ spl8_420 ),
inference(resolution,[],[f6444,f59]) ).
tff(f6444,plain,
( $less(sK7,14)
| ~ spl8_420 ),
inference(avatar_component_clause,[],[f6442]) ).
tff(f8558,plain,
( spl8_511
| ~ spl8_243
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8494,f7935,f3638,f8555]) ).
tff(f8555,plain,
( spl8_511
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_511])]) ).
tff(f3638,plain,
( spl8_243
<=> $less(sK7,5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_243])]) ).
tff(f8494,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),5)
| ~ spl8_243
| ~ spl8_493 ),
inference(resolution,[],[f7936,f3645]) ).
tff(f3645,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,5) )
| ~ spl8_243 ),
inference(resolution,[],[f3640,f59]) ).
tff(f3640,plain,
( $less(sK7,5)
| ~ spl8_243 ),
inference(avatar_component_clause,[],[f3638]) ).
tff(f8553,plain,
( spl8_510
| ~ spl8_425
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8506,f7935,f6544,f8550]) ).
tff(f8550,plain,
( spl8_510
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),15) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_510])]) ).
tff(f6544,plain,
( spl8_425
<=> $less(sK7,15) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_425])]) ).
tff(f8506,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),15)
| ~ spl8_425
| ~ spl8_493 ),
inference(resolution,[],[f7936,f6562]) ).
tff(f6562,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,15) )
| ~ spl8_425 ),
inference(resolution,[],[f6546,f59]) ).
tff(f6546,plain,
( $less(sK7,15)
| ~ spl8_425 ),
inference(avatar_component_clause,[],[f6544]) ).
tff(f8548,plain,
( spl8_509
| ~ spl8_316
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8502,f7935,f5064,f8545]) ).
tff(f8545,plain,
( spl8_509
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),11) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_509])]) ).
tff(f5064,plain,
( spl8_316
<=> $less(sK7,11) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_316])]) ).
tff(f8502,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),11)
| ~ spl8_316
| ~ spl8_493 ),
inference(resolution,[],[f7936,f5076]) ).
tff(f5076,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,11) )
| ~ spl8_316 ),
inference(resolution,[],[f5066,f59]) ).
tff(f5066,plain,
( $less(sK7,11)
| ~ spl8_316 ),
inference(avatar_component_clause,[],[f5064]) ).
tff(f8543,plain,
( spl8_508
| ~ spl8_477
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8507,f7935,f7523,f8540]) ).
tff(f8540,plain,
( spl8_508
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),16) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_508])]) ).
tff(f7523,plain,
( spl8_477
<=> $less(sK7,16) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_477])]) ).
tff(f8507,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),16)
| ~ spl8_477
| ~ spl8_493 ),
inference(resolution,[],[f7936,f7541]) ).
tff(f7541,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,16) )
| ~ spl8_477 ),
inference(resolution,[],[f7525,f59]) ).
tff(f7525,plain,
( $less(sK7,16)
| ~ spl8_477 ),
inference(avatar_component_clause,[],[f7523]) ).
tff(f8538,plain,
( spl8_507
| ~ spl8_395
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8504,f7935,f6110,f8535]) ).
tff(f8535,plain,
( spl8_507
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),13) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_507])]) ).
tff(f6110,plain,
( spl8_395
<=> $less(sK7,13) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_395])]) ).
tff(f8504,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),13)
| ~ spl8_395
| ~ spl8_493 ),
inference(resolution,[],[f7936,f6117]) ).
tff(f6117,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,13) )
| ~ spl8_395 ),
inference(resolution,[],[f6112,f59]) ).
tff(f6112,plain,
( $less(sK7,13)
| ~ spl8_395 ),
inference(avatar_component_clause,[],[f6110]) ).
tff(f8533,plain,
( spl8_506
| ~ spl8_482
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8508,f7935,f7687,f8530]) ).
tff(f8530,plain,
( spl8_506
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),17) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_506])]) ).
tff(f7687,plain,
( spl8_482
<=> $less(sK7,17) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_482])]) ).
tff(f8508,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),17)
| ~ spl8_482
| ~ spl8_493 ),
inference(resolution,[],[f7936,f7694]) ).
tff(f7694,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,17) )
| ~ spl8_482 ),
inference(resolution,[],[f7689,f59]) ).
tff(f7689,plain,
( $less(sK7,17)
| ~ spl8_482 ),
inference(avatar_component_clause,[],[f7687]) ).
tff(f8528,plain,
( spl8_505
| ~ spl8_194
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8490,f7935,f2690,f8525]) ).
tff(f8525,plain,
( spl8_505
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_505])]) ).
tff(f2690,plain,
( spl8_194
<=> $less(sK7,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_194])]) ).
tff(f8490,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),1)
| ~ spl8_194
| ~ spl8_493 ),
inference(resolution,[],[f7936,f2697]) ).
tff(f2697,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,1) )
| ~ spl8_194 ),
inference(resolution,[],[f2692,f59]) ).
tff(f2692,plain,
( $less(sK7,1)
| ~ spl8_194 ),
inference(avatar_component_clause,[],[f2690]) ).
tff(f8523,plain,
( spl8_504
| ~ spl8_299
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8500,f7935,f4734,f8520]) ).
tff(f8520,plain,
( spl8_504
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),9) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_504])]) ).
tff(f4734,plain,
( spl8_299
<=> $less(sK7,9) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_299])]) ).
tff(f8500,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),9)
| ~ spl8_299
| ~ spl8_493 ),
inference(resolution,[],[f7936,f4741]) ).
tff(f4741,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,9) )
| ~ spl8_299 ),
inference(resolution,[],[f4736,f59]) ).
tff(f4736,plain,
( $less(sK7,9)
| ~ spl8_299 ),
inference(avatar_component_clause,[],[f4734]) ).
tff(f8518,plain,
( spl8_503
| ~ spl8_224
| ~ spl8_493 ),
inference(avatar_split_clause,[],[f8492,f7935,f3297,f8515]) ).
tff(f8515,plain,
( spl8_503
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_503])]) ).
tff(f3297,plain,
( spl8_224
<=> $less(sK7,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_224])]) ).
tff(f8492,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),3)
| ~ spl8_224
| ~ spl8_493 ),
inference(resolution,[],[f7936,f3304]) ).
tff(f3304,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,3) )
| ~ spl8_224 ),
inference(resolution,[],[f3299,f59]) ).
tff(f3299,plain,
( $less(sK7,3)
| ~ spl8_224 ),
inference(avatar_component_clause,[],[f3297]) ).
tff(f8476,plain,
( ~ spl8_502
| ~ spl8_37
| spl8_501 ),
inference(avatar_split_clause,[],[f8464,f8072,f721,f8473]) ).
tff(f8473,plain,
( spl8_502
<=> $less(18,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_502])]) ).
tff(f8072,plain,
( spl8_501
<=> $less(18,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_501])]) ).
tff(f8464,plain,
( ~ $less(18,sK2)
| ~ spl8_37
| spl8_501 ),
inference(resolution,[],[f8074,f1149]) ).
tff(f8074,plain,
( ~ $less(18,sK7)
| spl8_501 ),
inference(avatar_component_clause,[],[f8072]) ).
tff(f8075,plain,
( ~ spl8_501
| ~ spl8_498 ),
inference(avatar_split_clause,[],[f8049,f8022,f8072]) ).
tff(f8049,plain,
( ~ $less(18,sK7)
| ~ spl8_498 ),
inference(interpreted_simplification,[],[f8048]) ).
tff(f8048,plain,
( ~ $less(18,sK7)
| $less(18,18)
| ~ spl8_498 ),
inference(instantiation,[],[f8029]) ).
tff(f8038,plain,
( spl8_226
| spl8_499
| spl8_500
| ~ spl8_37
| ~ spl8_498 ),
inference(avatar_split_clause,[],[f8028,f8022,f721,f8035,f8031,f3310]) ).
tff(f8031,plain,
( spl8_499
<=> $less(sK2,18) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_499])]) ).
tff(f8035,plain,
( spl8_500
<=> ( 18 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_500])]) ).
tff(f8028,plain,
( ( 18 = sK2 )
| $less(sK2,18)
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_498 ),
inference(resolution,[],[f8024,f1221]) ).
tff(f8025,plain,
( spl8_498
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f8020,f3260,f8022]) ).
tff(f8020,plain,
( $less(sK7,18)
| ~ spl8_222 ),
inference(evaluation,[],[f8017]) ).
tff(f8017,plain,
( $less(sK7,$sum(18,0))
| ~ spl8_222 ),
inference(superposition,[],[f7684,f323]) ).
tff(f7981,plain,
( spl8_400
| spl8_496
| spl8_497
| ~ spl8_77
| ~ spl8_205
| ~ spl8_473 ),
inference(avatar_split_clause,[],[f7958,f7425,f3018,f1139,f7978,f7974,f6196]) ).
tff(f7974,plain,
( spl8_496
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_496])]) ).
tff(f7978,plain,
( spl8_497
<=> $less(-10,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_497])]) ).
tff(f7425,plain,
( spl8_473
<=> $less(-10,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_473])]) ).
tff(f7958,plain,
( $less(-10,$sum(1,length1(int,t2tb1(sK3))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -10 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_473 ),
inference(resolution,[],[f7890,f4628]) ).
tff(f7890,plain,
( ! [X0: $int] :
( ~ $less(X0,-10)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_473 ),
inference(resolution,[],[f7438,f3025]) ).
tff(f7438,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-10) )
| ~ spl8_473 ),
inference(resolution,[],[f7427,f59]) ).
tff(f7427,plain,
( $less(-10,sK1(sK3))
| ~ spl8_473 ),
inference(avatar_component_clause,[],[f7425]) ).
tff(f7954,plain,
( spl8_471
| spl8_495
| spl8_493 ),
inference(avatar_split_clause,[],[f7943,f7935,f7952,f7333]) ).
tff(f7333,plain,
( spl8_471
<=> ( $sum(sK2,sK1(tb2t1(nil(int)))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_471])]) ).
tff(f7952,plain,
( spl8_495
<=> ! [X2: $int] :
( $less(sK7,X2)
| $less(X2,$sum(sK2,sK1(tb2t1(nil(int)))))
| ( sK7 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_495])]) ).
tff(f7943,plain,
( ! [X2: $int] :
( $less(sK7,X2)
| ( sK7 = X2 )
| ( $sum(sK2,sK1(tb2t1(nil(int)))) = sK7 )
| $less(X2,$sum(sK2,sK1(tb2t1(nil(int))))) )
| spl8_493 ),
inference(resolution,[],[f7937,f2507]) ).
tff(f7937,plain,
( ~ $less($sum(sK2,sK1(tb2t1(nil(int)))),sK7)
| spl8_493 ),
inference(avatar_component_clause,[],[f7935]) ).
tff(f7950,plain,
( ~ spl8_494
| ~ spl8_37
| spl8_493 ),
inference(avatar_split_clause,[],[f7940,f7935,f721,f7947]) ).
tff(f7947,plain,
( spl8_494
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_494])]) ).
tff(f7940,plain,
( ~ $less($sum(sK2,sK1(tb2t1(nil(int)))),sK2)
| ~ spl8_37
| spl8_493 ),
inference(resolution,[],[f7937,f1149]) ).
tff(f7938,plain,
( ~ spl8_493
| ~ spl8_466 ),
inference(avatar_split_clause,[],[f7929,f7300,f7935]) ).
tff(f7300,plain,
( spl8_466
<=> $less(sK7,$sum(sK2,sK1(tb2t1(nil(int))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_466])]) ).
tff(f7929,plain,
( ~ $less($sum(sK2,sK1(tb2t1(nil(int)))),sK7)
| ~ spl8_466 ),
inference(resolution,[],[f7928,f58]) ).
tff(f7928,plain,
( ! [X1: $int] :
( $less(X1,$sum(sK2,sK1(tb2t1(nil(int)))))
| ~ $less(X1,sK7) )
| ~ spl8_466 ),
inference(resolution,[],[f7302,f59]) ).
tff(f7302,plain,
( $less(sK7,$sum(sK2,sK1(tb2t1(nil(int)))))
| ~ spl8_466 ),
inference(avatar_component_clause,[],[f7300]) ).
tff(f7919,plain,
( spl8_491
| spl8_492
| spl8_489 ),
inference(avatar_split_clause,[],[f7909,f7898,f7917,f7913]) ).
tff(f7913,plain,
( spl8_491
<=> ( sK1(sK3) = -10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_491])]) ).
tff(f7917,plain,
( spl8_492
<=> ! [X2: $int] :
( $less(-10,X2)
| $less(X2,sK1(sK3))
| ( -10 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_492])]) ).
tff(f7898,plain,
( spl8_489
<=> $less(sK1(sK3),-10) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_489])]) ).
tff(f7909,plain,
( ! [X2: $int] :
( $less(-10,X2)
| ( sK1(sK3) = -10 )
| ( -10 = X2 )
| $less(X2,sK1(sK3)) )
| spl8_489 ),
inference(resolution,[],[f7900,f2507]) ).
tff(f7900,plain,
( ~ $less(sK1(sK3),-10)
| spl8_489 ),
inference(avatar_component_clause,[],[f7898]) ).
tff(f7906,plain,
( spl8_490
| ~ spl8_473 ),
inference(avatar_split_clause,[],[f7889,f7425,f7903]) ).
tff(f7889,plain,
( $less(-11,sK1(sK3))
| ~ spl8_473 ),
inference(interpreted_simplification,[],[f7888]) ).
tff(f7888,plain,
( $less(-11,sK1(sK3))
| ~ $less(-11,-10)
| ~ spl8_473 ),
inference(instantiation,[],[f7438]) ).
tff(f7901,plain,
( ~ spl8_489
| ~ spl8_473 ),
inference(avatar_split_clause,[],[f7891,f7425,f7898]) ).
tff(f7891,plain,
( ~ $less(sK1(sK3),-10)
| ~ spl8_473 ),
inference(resolution,[],[f7438,f58]) ).
tff(f7847,plain,
( spl8_400
| spl8_487
| spl8_488
| ~ spl8_77
| ~ spl8_205
| ~ spl8_417 ),
inference(avatar_split_clause,[],[f7837,f6376,f3018,f1139,f7844,f7840,f6196]) ).
tff(f7840,plain,
( spl8_487
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_487])]) ).
tff(f7844,plain,
( spl8_488
<=> $less(-9,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_488])]) ).
tff(f6376,plain,
( spl8_417
<=> $less(-9,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_417])]) ).
tff(f7837,plain,
( $less(-9,$sum(1,length1(int,t2tb1(sK3))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -9 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_417 ),
inference(resolution,[],[f4628,f7417]) ).
tff(f7417,plain,
( ! [X0: $int] :
( ~ $less(X0,-9)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_417 ),
inference(resolution,[],[f6386,f3025]) ).
tff(f6386,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-9) )
| ~ spl8_417 ),
inference(resolution,[],[f6378,f59]) ).
tff(f6378,plain,
( $less(-9,sK1(sK3))
| ~ spl8_417 ),
inference(avatar_component_clause,[],[f6376]) ).
tff(f7756,plain,
( ~ spl8_486
| ~ spl8_37
| spl8_485 ),
inference(avatar_split_clause,[],[f7746,f7741,f721,f7753]) ).
tff(f7753,plain,
( spl8_486
<=> $less(17,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_486])]) ).
tff(f7741,plain,
( spl8_485
<=> $less(17,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_485])]) ).
tff(f7746,plain,
( ~ $less(17,sK2)
| ~ spl8_37
| spl8_485 ),
inference(resolution,[],[f7743,f1149]) ).
tff(f7743,plain,
( ~ $less(17,sK7)
| spl8_485 ),
inference(avatar_component_clause,[],[f7741]) ).
tff(f7744,plain,
( ~ spl8_485
| ~ spl8_482 ),
inference(avatar_split_clause,[],[f7719,f7687,f7741]) ).
tff(f7719,plain,
( ~ $less(17,sK7)
| ~ spl8_482 ),
inference(interpreted_simplification,[],[f7718]) ).
tff(f7718,plain,
( ~ $less(17,sK7)
| $less(17,17)
| ~ spl8_482 ),
inference(instantiation,[],[f7694]) ).
tff(f7703,plain,
( spl8_483
| spl8_226
| spl8_484
| ~ spl8_37
| ~ spl8_482 ),
inference(avatar_split_clause,[],[f7693,f7687,f721,f7700,f3310,f7696]) ).
tff(f7696,plain,
( spl8_483
<=> ( sK2 = 17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_483])]) ).
tff(f7700,plain,
( spl8_484
<=> $less(sK2,17) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_484])]) ).
tff(f7693,plain,
( $less(sK2,17)
| $less(sK7,sK7)
| ( sK2 = 17 )
| ~ spl8_37
| ~ spl8_482 ),
inference(resolution,[],[f7689,f1221]) ).
tff(f7690,plain,
( spl8_482
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f7685,f3260,f7687]) ).
tff(f7685,plain,
( $less(sK7,17)
| ~ spl8_222 ),
inference(evaluation,[],[f7682]) ).
tff(f7682,plain,
( $less(sK7,$sum(17,0))
| ~ spl8_222 ),
inference(superposition,[],[f7520,f323]) ).
tff(f7609,plain,
( ~ spl8_481
| ~ spl8_37
| spl8_480 ),
inference(avatar_split_clause,[],[f7599,f7594,f721,f7606]) ).
tff(f7606,plain,
( spl8_481
<=> $less(16,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_481])]) ).
tff(f7594,plain,
( spl8_480
<=> $less(16,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_480])]) ).
tff(f7599,plain,
( ~ $less(16,sK2)
| ~ spl8_37
| spl8_480 ),
inference(resolution,[],[f7596,f1149]) ).
tff(f7596,plain,
( ~ $less(16,sK7)
| spl8_480 ),
inference(avatar_component_clause,[],[f7594]) ).
tff(f7597,plain,
( ~ spl8_480
| ~ spl8_477 ),
inference(avatar_split_clause,[],[f7572,f7523,f7594]) ).
tff(f7572,plain,
( ~ $less(16,sK7)
| ~ spl8_477 ),
inference(interpreted_simplification,[],[f7571]) ).
tff(f7571,plain,
( ~ $less(16,sK7)
| $less(16,16)
| ~ spl8_477 ),
inference(instantiation,[],[f7541]) ).
tff(f7550,plain,
( spl8_478
| spl8_479
| spl8_226
| ~ spl8_37
| ~ spl8_477 ),
inference(avatar_split_clause,[],[f7540,f7523,f721,f3310,f7547,f7543]) ).
tff(f7543,plain,
( spl8_478
<=> ( 16 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_478])]) ).
tff(f7547,plain,
( spl8_479
<=> $less(sK2,16) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_479])]) ).
tff(f7540,plain,
( $less(sK7,sK7)
| $less(sK2,16)
| ( 16 = sK2 )
| ~ spl8_37
| ~ spl8_477 ),
inference(resolution,[],[f7525,f1221]) ).
tff(f7526,plain,
( spl8_477
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f7521,f3260,f7523]) ).
tff(f7521,plain,
( $less(sK7,16)
| ~ spl8_222 ),
inference(evaluation,[],[f7518]) ).
tff(f7518,plain,
( $less(sK7,$sum(16,0))
| ~ spl8_222 ),
inference(superposition,[],[f6542,f323]) ).
tff(f7451,plain,
( spl8_475
| spl8_476
| spl8_474 ),
inference(avatar_split_clause,[],[f7441,f7430,f7449,f7445]) ).
tff(f7445,plain,
( spl8_475
<=> ( sK1(sK3) = -9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_475])]) ).
tff(f7449,plain,
( spl8_476
<=> ! [X2: $int] :
( ( -9 = X2 )
| $less(X2,sK1(sK3))
| $less(-9,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_476])]) ).
tff(f7430,plain,
( spl8_474
<=> $less(sK1(sK3),-9) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_474])]) ).
tff(f7441,plain,
( ! [X2: $int] :
( ( -9 = X2 )
| ( sK1(sK3) = -9 )
| $less(-9,X2)
| $less(X2,sK1(sK3)) )
| spl8_474 ),
inference(resolution,[],[f7432,f2507]) ).
tff(f7432,plain,
( ~ $less(sK1(sK3),-9)
| spl8_474 ),
inference(avatar_component_clause,[],[f7430]) ).
tff(f7433,plain,
( ~ spl8_474
| ~ spl8_417 ),
inference(avatar_split_clause,[],[f7418,f6376,f7430]) ).
tff(f7418,plain,
( ~ $less(sK1(sK3),-9)
| ~ spl8_417 ),
inference(resolution,[],[f6386,f58]) ).
tff(f7428,plain,
( spl8_473
| ~ spl8_417 ),
inference(avatar_split_clause,[],[f7416,f6376,f7425]) ).
tff(f7416,plain,
( $less(-10,sK1(sK3))
| ~ spl8_417 ),
inference(interpreted_simplification,[],[f7415]) ).
tff(f7415,plain,
( $less(-10,sK1(sK3))
| ~ $less(-10,-9)
| ~ spl8_417 ),
inference(instantiation,[],[f6386]) ).
tff(f7342,plain,
( ~ spl8_472
| spl8_101
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7196,f7134,f1347,f7339]) ).
tff(f7339,plain,
( spl8_472
<=> $less(sK1(sK3),$sum(sK2,sK1(tb2t1(nil(int))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_472])]) ).
tff(f1347,plain,
( spl8_101
<=> $less(sK1(sK3),$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).
tff(f7134,plain,
( spl8_445
<=> ( $sum(1,length1(int,t2tb1(sK3))) = sK1(tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_445])]) ).
tff(f7196,plain,
( ~ $less(sK1(sK3),$sum(sK2,sK1(tb2t1(nil(int)))))
| spl8_101
| ~ spl8_445 ),
inference(backward_demodulation,[],[f1348,f7136]) ).
tff(f7136,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = sK1(tb2t1(nil(int))) )
| ~ spl8_445 ),
inference(avatar_component_clause,[],[f7134]) ).
tff(f1348,plain,
( ~ $less(sK1(sK3),$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_101 ),
inference(avatar_component_clause,[],[f1347]) ).
tff(f7336,plain,
( ~ spl8_471
| spl8_26
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7190,f7134,f626,f7333]) ).
tff(f626,plain,
( spl8_26
<=> ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
tff(f7190,plain,
( ( $sum(sK2,sK1(tb2t1(nil(int)))) != sK7 )
| spl8_26
| ~ spl8_445 ),
inference(backward_demodulation,[],[f628,f7136]) ).
tff(f628,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) != sK7 )
| spl8_26 ),
inference(avatar_component_clause,[],[f626]) ).
tff(f7327,plain,
( spl8_470
| ~ spl8_418
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7243,f7134,f6417,f7324]) ).
tff(f7324,plain,
( spl8_470
<=> $less(-8,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_470])]) ).
tff(f6417,plain,
( spl8_418
<=> $less(-8,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_418])]) ).
tff(f7243,plain,
( $less(-8,sK1(tb2t1(nil(int))))
| ~ spl8_418
| ~ spl8_445 ),
inference(backward_demodulation,[],[f6419,f7136]) ).
tff(f6419,plain,
( $less(-8,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_418 ),
inference(avatar_component_clause,[],[f6417]) ).
tff(f7321,plain,
( ~ spl8_469
| spl8_109
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7198,f7134,f1446,f7318]) ).
tff(f7318,plain,
( spl8_469
<=> ( $sum(sK2,sK1(tb2t1(nil(int)))) = sK1(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_469])]) ).
tff(f1446,plain,
( spl8_109
<=> ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK1(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).
tff(f7198,plain,
( ( $sum(sK2,sK1(tb2t1(nil(int)))) != sK1(sK3) )
| spl8_109
| ~ spl8_445 ),
inference(backward_demodulation,[],[f1447,f7136]) ).
tff(f1447,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) != sK1(sK3) )
| spl8_109 ),
inference(avatar_component_clause,[],[f1446]) ).
tff(f7315,plain,
( ~ spl8_468
| spl8_375
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7229,f7134,f5736,f7312]) ).
tff(f7312,plain,
( spl8_468
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK2,sK1(tb2t1(nil(int))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_468])]) ).
tff(f5736,plain,
( spl8_375
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_375])]) ).
tff(f7229,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK2,sK1(tb2t1(nil(int)))))
| spl8_375
| ~ spl8_445 ),
inference(backward_demodulation,[],[f5737,f7136]) ).
tff(f5737,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_375 ),
inference(avatar_component_clause,[],[f5736]) ).
tff(f7309,plain,
( spl8_467
| ~ spl8_403
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7238,f7134,f6210,f7306]) ).
tff(f7306,plain,
( spl8_467
<=> $less($sum(sK2,1),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_467])]) ).
tff(f6210,plain,
( spl8_403
<=> $less($sum(sK2,1),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_403])]) ).
tff(f7238,plain,
( $less($sum(sK2,1),sK1(tb2t1(nil(int))))
| ~ spl8_403
| ~ spl8_445 ),
inference(backward_demodulation,[],[f6212,f7136]) ).
tff(f6212,plain,
( $less($sum(sK2,1),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_403 ),
inference(avatar_component_clause,[],[f6210]) ).
tff(f7303,plain,
( spl8_466
| ~ spl8_27
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7191,f7134,f632,f7300]) ).
tff(f7191,plain,
( $less(sK7,$sum(sK2,sK1(tb2t1(nil(int)))))
| ~ spl8_27
| ~ spl8_445 ),
inference(backward_demodulation,[],[f633,f7136]) ).
tff(f7298,plain,
( spl8_465
| ~ spl8_349
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7226,f7134,f5537,f7295]) ).
tff(f7295,plain,
( spl8_465
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_465])]) ).
tff(f5537,plain,
( spl8_349
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_349])]) ).
tff(f7226,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),sK1(tb2t1(nil(int))))
| ~ spl8_349
| ~ spl8_445 ),
inference(backward_demodulation,[],[f5539,f7136]) ).
tff(f5539,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_349 ),
inference(avatar_component_clause,[],[f5537]) ).
tff(f7293,plain,
( spl8_464
| ~ spl8_28
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7192,f7134,f639,f7290]) ).
tff(f7290,plain,
( spl8_464
<=> $less(sK2,$sum(sK2,sK1(tb2t1(nil(int))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_464])]) ).
tff(f639,plain,
( spl8_28
<=> $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
tff(f7192,plain,
( $less(sK2,$sum(sK2,sK1(tb2t1(nil(int)))))
| ~ spl8_28
| ~ spl8_445 ),
inference(backward_demodulation,[],[f640,f7136]) ).
tff(f640,plain,
( $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f639]) ).
tff(f7288,plain,
( ~ spl8_463
| spl8_57
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7194,f7134,f993,f7285]) ).
tff(f7285,plain,
( spl8_463
<=> ( sK1(tb2t1(nil(int))) = $sum(1,length1(int,t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_463])]) ).
tff(f993,plain,
( spl8_57
<=> ( $sum(1,length1(int,t2tb1(sK3))) = $sum(1,length1(int,t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).
tff(f7194,plain,
( ( sK1(tb2t1(nil(int))) != $sum(1,length1(int,t2tb1(sK6))) )
| spl8_57
| ~ spl8_445 ),
inference(backward_demodulation,[],[f994,f7136]) ).
tff(f994,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) != $sum(1,length1(int,t2tb1(sK6))) )
| spl8_57 ),
inference(avatar_component_clause,[],[f993]) ).
tff(f7283,plain,
( spl8_462
| ~ spl8_233
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7203,f7134,f3408,f7280]) ).
tff(f7280,plain,
( spl8_462
<=> $less(sK1(sK3),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_462])]) ).
tff(f3408,plain,
( spl8_233
<=> $less(sK1(sK3),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_233])]) ).
tff(f7203,plain,
( $less(sK1(sK3),sK1(tb2t1(nil(int))))
| ~ spl8_233
| ~ spl8_445 ),
inference(backward_demodulation,[],[f3410,f7136]) ).
tff(f3410,plain,
( $less(sK1(sK3),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_233 ),
inference(avatar_component_clause,[],[f3408]) ).
tff(f7277,plain,
( spl8_461
| ~ spl8_405
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7239,f7134,f6219,f7274]) ).
tff(f7274,plain,
( spl8_461
<=> $less(-7,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_461])]) ).
tff(f6219,plain,
( spl8_405
<=> $less(-7,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_405])]) ).
tff(f7239,plain,
( $less(-7,sK1(tb2t1(nil(int))))
| ~ spl8_405
| ~ spl8_445 ),
inference(backward_demodulation,[],[f6221,f7136]) ).
tff(f6221,plain,
( $less(-7,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_405 ),
inference(avatar_component_clause,[],[f6219]) ).
tff(f7271,plain,
( spl8_460
| ~ spl8_108
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7197,f7134,f1442,f7268]) ).
tff(f7268,plain,
( spl8_460
<=> $less($sum(sK2,sK1(tb2t1(nil(int)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_460])]) ).
tff(f1442,plain,
( spl8_108
<=> $less($sum(sK2,$sum(1,length1(int,t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_108])]) ).
tff(f7197,plain,
( $less($sum(sK2,sK1(tb2t1(nil(int)))),0)
| ~ spl8_108
| ~ spl8_445 ),
inference(backward_demodulation,[],[f1444,f7136]) ).
tff(f1444,plain,
( $less($sum(sK2,$sum(1,length1(int,t2tb1(sK3)))),0)
| ~ spl8_108 ),
inference(avatar_component_clause,[],[f1442]) ).
tff(f7264,plain,
( ~ spl8_459
| spl8_29
| ~ spl8_445 ),
inference(avatar_split_clause,[],[f7193,f7134,f649,f7261]) ).
tff(f7261,plain,
( spl8_459
<=> ( $sum(sK2,sK1(tb2t1(nil(int)))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_459])]) ).
tff(f649,plain,
( spl8_29
<=> ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
tff(f7193,plain,
( ( $sum(sK2,sK1(tb2t1(nil(int)))) != sK2 )
| spl8_29
| ~ spl8_445 ),
inference(backward_demodulation,[],[f651,f7136]) ).
tff(f651,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) != sK2 )
| spl8_29 ),
inference(avatar_component_clause,[],[f649]) ).
tff(f7189,plain,
( spl8_457
| spl8_458
| spl8_288 ),
inference(avatar_split_clause,[],[f6776,f4524,f7186,f7183]) ).
tff(f7183,plain,
( spl8_457
<=> ! [X170: $int] :
( $less(-5,X170)
| $less(X170,sK1(sK3))
| ( -5 = X170 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_457])]) ).
tff(f7186,plain,
( spl8_458
<=> ( sK1(sK3) = -5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_458])]) ).
tff(f4524,plain,
( spl8_288
<=> $less(sK1(sK3),-5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_288])]) ).
tff(f6776,plain,
( ! [X170: $int] :
( ( sK1(sK3) = -5 )
| $less(-5,X170)
| ( -5 = X170 )
| $less(X170,sK1(sK3)) )
| spl8_288 ),
inference(resolution,[],[f2507,f4526]) ).
tff(f4526,plain,
( ~ $less(sK1(sK3),-5)
| spl8_288 ),
inference(avatar_component_clause,[],[f4524]) ).
tff(f7181,plain,
( spl8_83
| spl8_456
| spl8_30 ),
inference(avatar_split_clause,[],[f6766,f667,f7179,f1190]) ).
tff(f1190,plain,
( spl8_83
<=> ( 0 = sK1(tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).
tff(f7179,plain,
( spl8_456
<=> ! [X160: $int] :
( $less(0,X160)
| $less(X160,sK1(tb2t1(nil(int))))
| ( 0 = X160 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_456])]) ).
tff(f667,plain,
( spl8_30
<=> $less(sK1(tb2t1(nil(int))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
tff(f6766,plain,
( ! [X160: $int] :
( $less(0,X160)
| ( 0 = sK1(tb2t1(nil(int))) )
| ( 0 = X160 )
| $less(X160,sK1(tb2t1(nil(int)))) )
| spl8_30 ),
inference(resolution,[],[f2507,f669]) ).
tff(f669,plain,
( ~ $less(sK1(tb2t1(nil(int))),0)
| spl8_30 ),
inference(avatar_component_clause,[],[f667]) ).
tff(f7177,plain,
( spl8_454
| spl8_455
| spl8_282 ),
inference(avatar_split_clause,[],[f6775,f4370,f7175,f7171]) ).
tff(f7171,plain,
( spl8_454
<=> ( sK1(sK3) = -4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_454])]) ).
tff(f7175,plain,
( spl8_455
<=> ! [X169: $int] :
( $less(X169,sK1(sK3))
| $less(-4,X169)
| ( -4 = X169 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_455])]) ).
tff(f4370,plain,
( spl8_282
<=> $less(sK1(sK3),-4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_282])]) ).
tff(f6775,plain,
( ! [X169: $int] :
( $less(X169,sK1(sK3))
| ( -4 = X169 )
| ( sK1(sK3) = -4 )
| $less(-4,X169) )
| spl8_282 ),
inference(resolution,[],[f2507,f4372]) ).
tff(f4372,plain,
( ~ $less(sK1(sK3),-4)
| spl8_282 ),
inference(avatar_component_clause,[],[f4370]) ).
tff(f7169,plain,
( spl8_452
| spl8_453
| spl8_261 ),
inference(avatar_split_clause,[],[f6773,f3907,f7167,f7163]) ).
tff(f7163,plain,
( spl8_452
<=> ( sK1(sK3) = -2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_452])]) ).
tff(f7167,plain,
( spl8_453
<=> ! [X167: $int] :
( $less(-2,X167)
| $less(X167,sK1(sK3))
| ( -2 = X167 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_453])]) ).
tff(f3907,plain,
( spl8_261
<=> $less(sK1(sK3),-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_261])]) ).
tff(f6773,plain,
( ! [X167: $int] :
( $less(-2,X167)
| ( sK1(sK3) = -2 )
| ( -2 = X167 )
| $less(X167,sK1(sK3)) )
| spl8_261 ),
inference(resolution,[],[f2507,f3909]) ).
tff(f3909,plain,
( ~ $less(sK1(sK3),-2)
| spl8_261 ),
inference(avatar_component_clause,[],[f3907]) ).
tff(f7161,plain,
( spl8_173
| spl8_451
| spl8_129 ),
inference(avatar_split_clause,[],[f6763,f1732,f7159,f2254]) ).
tff(f2254,plain,
( spl8_173
<=> ( 0 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_173])]) ).
tff(f7159,plain,
( spl8_451
<=> ! [X157: $int] :
( $less(0,X157)
| $less(X157,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 = X157 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_451])]) ).
tff(f1732,plain,
( spl8_129
<=> $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_129])]) ).
tff(f6763,plain,
( ! [X157: $int] :
( $less(0,X157)
| ( 0 = X157 )
| ( 0 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(X157,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) )
| spl8_129 ),
inference(resolution,[],[f2507,f1733]) ).
tff(f1733,plain,
( ~ $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_129 ),
inference(avatar_component_clause,[],[f1732]) ).
tff(f7157,plain,
( spl8_48
| spl8_450
| spl8_45 ),
inference(avatar_split_clause,[],[f7022,f801,f7155,f844]) ).
tff(f844,plain,
( spl8_48
<=> ( sK1(sK3) = $sum(sK2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).
tff(f7155,plain,
( spl8_450
<=> ! [X162: $int] :
( $less($sum(sK2,1),X162)
| $less(X162,sK1(sK3))
| ( sK1(sK3) = X162 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_450])]) ).
tff(f801,plain,
( spl8_45
<=> $less(sK1(sK3),$sum(sK2,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
tff(f7022,plain,
( ! [X162: $int] :
( $less($sum(sK2,1),X162)
| ( sK1(sK3) = X162 )
| $less(X162,sK1(sK3))
| ( sK1(sK3) = $sum(sK2,1) ) )
| spl8_45 ),
inference(resolution,[],[f2507,f802]) ).
tff(f802,plain,
( ~ $less(sK1(sK3),$sum(sK2,1))
| spl8_45 ),
inference(avatar_component_clause,[],[f801]) ).
tff(f7153,plain,
( spl8_100
| spl8_449
| spl8_167 ),
inference(avatar_split_clause,[],[f6771,f2096,f7151,f1343]) ).
tff(f1343,plain,
( spl8_100
<=> ( sK1(sK3) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).
tff(f7151,plain,
( spl8_449
<=> ! [X165: $int] :
( $less(X165,sK1(sK3))
| $less(sK7,X165)
| ( sK7 = X165 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_449])]) ).
tff(f2096,plain,
( spl8_167
<=> $less(sK1(sK3),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_167])]) ).
tff(f6771,plain,
( ! [X165: $int] :
( $less(X165,sK1(sK3))
| ( sK1(sK3) = sK7 )
| ( sK7 = X165 )
| $less(sK7,X165) )
| spl8_167 ),
inference(resolution,[],[f2507,f2098]) ).
tff(f2098,plain,
( ~ $less(sK1(sK3),sK7)
| spl8_167 ),
inference(avatar_component_clause,[],[f2096]) ).
tff(f7149,plain,
( spl8_445
| spl8_448
| spl8_152 ),
inference(avatar_split_clause,[],[f6769,f1977,f7147,f7134]) ).
tff(f7147,plain,
( spl8_448
<=> ! [X163: $int] :
( ( $sum(1,length1(int,t2tb1(sK3))) = X163 )
| $less(X163,sK1(tb2t1(nil(int))))
| $less($sum(1,length1(int,t2tb1(sK3))),X163) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_448])]) ).
tff(f1977,plain,
( spl8_152
<=> $less(sK1(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_152])]) ).
tff(f6769,plain,
( ! [X163: $int] :
( ( $sum(1,length1(int,t2tb1(sK3))) = X163 )
| $less($sum(1,length1(int,t2tb1(sK3))),X163)
| ( $sum(1,length1(int,t2tb1(sK3))) = sK1(tb2t1(nil(int))) )
| $less(X163,sK1(tb2t1(nil(int)))) )
| spl8_152 ),
inference(resolution,[],[f2507,f1978]) ).
tff(f1978,plain,
( ~ $less(sK1(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3))))
| spl8_152 ),
inference(avatar_component_clause,[],[f1977]) ).
tff(f7145,plain,
( spl8_446
| spl8_447
| spl8_305 ),
inference(avatar_split_clause,[],[f6777,f4827,f7142,f7139]) ).
tff(f7139,plain,
( spl8_446
<=> ! [X171: $int] :
( ( -6 = X171 )
| $less(X171,sK1(sK3))
| $less(-6,X171) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_446])]) ).
tff(f7142,plain,
( spl8_447
<=> ( sK1(sK3) = -6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_447])]) ).
tff(f4827,plain,
( spl8_305
<=> $less(sK1(sK3),-6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_305])]) ).
tff(f6777,plain,
( ! [X171: $int] :
( ( sK1(sK3) = -6 )
| ( -6 = X171 )
| $less(-6,X171)
| $less(X171,sK1(sK3)) )
| spl8_305 ),
inference(resolution,[],[f2507,f4829]) ).
tff(f4829,plain,
( ~ $less(sK1(sK3),-6)
| spl8_305 ),
inference(avatar_component_clause,[],[f4827]) ).
tff(f7137,plain,
( spl8_444
| spl8_445
| spl8_152 ),
inference(avatar_split_clause,[],[f7023,f1977,f7134,f7131]) ).
tff(f7131,plain,
( spl8_444
<=> ! [X163: $int] :
( ( sK1(tb2t1(nil(int))) = X163 )
| $less($sum(1,length1(int,t2tb1(sK3))),X163)
| $less(X163,sK1(tb2t1(nil(int)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_444])]) ).
tff(f7023,plain,
( ! [X163: $int] :
( ( $sum(1,length1(int,t2tb1(sK3))) = sK1(tb2t1(nil(int))) )
| ( sK1(tb2t1(nil(int))) = X163 )
| $less(X163,sK1(tb2t1(nil(int))))
| $less($sum(1,length1(int,t2tb1(sK3))),X163) )
| spl8_152 ),
inference(resolution,[],[f2507,f1978]) ).
tff(f7129,plain,
( spl8_144
| spl8_443
| spl8_130 ),
inference(avatar_split_clause,[],[f6764,f1737,f7127,f1904]) ).
tff(f1904,plain,
( spl8_144
<=> ( 0 = sK0(0,tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_144])]) ).
tff(f7127,plain,
( spl8_443
<=> ! [X158: $int] :
( $less(X158,sK0(0,tb2t1(nil(int))))
| ( 0 = X158 )
| $less(0,X158) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_443])]) ).
tff(f1737,plain,
( spl8_130
<=> $less(sK0(0,tb2t1(nil(int))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_130])]) ).
tff(f6764,plain,
( ! [X158: $int] :
( $less(X158,sK0(0,tb2t1(nil(int))))
| $less(0,X158)
| ( 0 = X158 )
| ( 0 = sK0(0,tb2t1(nil(int))) ) )
| spl8_130 ),
inference(resolution,[],[f2507,f1738]) ).
tff(f1738,plain,
( ~ $less(sK0(0,tb2t1(nil(int))),0)
| spl8_130 ),
inference(avatar_component_clause,[],[f1737]) ).
tff(f7125,plain,
( spl8_35
| spl8_442
| spl8_32 ),
inference(avatar_split_clause,[],[f6767,f677,f7123,f712]) ).
tff(f712,plain,
( spl8_35
<=> ( 0 = sK1(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
tff(f7123,plain,
( spl8_442
<=> ! [X161: $int] :
( $less(0,X161)
| ( 0 = X161 )
| $less(X161,sK1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_442])]) ).
tff(f677,plain,
( spl8_32
<=> $less(sK1(sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
tff(f6767,plain,
( ! [X161: $int] :
( $less(0,X161)
| $less(X161,sK1(sK3))
| ( 0 = X161 )
| ( 0 = sK1(sK3) ) )
| spl8_32 ),
inference(resolution,[],[f2507,f679]) ).
tff(f679,plain,
( ~ $less(sK1(sK3),0)
| spl8_32 ),
inference(avatar_component_clause,[],[f677]) ).
tff(f7121,plain,
( spl8_440
| spl8_441
| spl8_262 ),
inference(avatar_split_clause,[],[f6774,f3967,f7118,f7115]) ).
tff(f7115,plain,
( spl8_440
<=> ! [X168: $int] :
( ( -3 = X168 )
| $less(-3,X168)
| $less(X168,sK1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_440])]) ).
tff(f7118,plain,
( spl8_441
<=> ( sK1(sK3) = -3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_441])]) ).
tff(f3967,plain,
( spl8_262
<=> $less(sK1(sK3),-3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_262])]) ).
tff(f6774,plain,
( ! [X168: $int] :
( ( sK1(sK3) = -3 )
| ( -3 = X168 )
| $less(X168,sK1(sK3))
| $less(-3,X168) )
| spl8_262 ),
inference(resolution,[],[f2507,f3969]) ).
tff(f3969,plain,
( ~ $less(sK1(sK3),-3)
| spl8_262 ),
inference(avatar_component_clause,[],[f3967]) ).
tff(f7113,plain,
( spl8_438
| spl8_439
| spl8_416 ),
inference(avatar_split_clause,[],[f6779,f6371,f7111,f7107]) ).
tff(f7107,plain,
( spl8_438
<=> ( sK1(sK3) = -8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_438])]) ).
tff(f7111,plain,
( spl8_439
<=> ! [X173: $int] :
( $less(X173,sK1(sK3))
| ( -8 = X173 )
| $less(-8,X173) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_439])]) ).
tff(f6371,plain,
( spl8_416
<=> $less(sK1(sK3),-8) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_416])]) ).
tff(f6779,plain,
( ! [X173: $int] :
( $less(X173,sK1(sK3))
| ( sK1(sK3) = -8 )
| $less(-8,X173)
| ( -8 = X173 ) )
| spl8_416 ),
inference(resolution,[],[f2507,f6373]) ).
tff(f6373,plain,
( ~ $less(sK1(sK3),-8)
| spl8_416 ),
inference(avatar_component_clause,[],[f6371]) ).
tff(f7105,plain,
( spl8_437
| spl8_36
| spl8_10 ),
inference(avatar_split_clause,[],[f6780,f383,f717,f7103]) ).
tff(f7103,plain,
( spl8_437
<=> ! [X174: $int] :
( ( sK2 = X174 )
| $less(sK2,X174)
| $less(X174,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_437])]) ).
tff(f383,plain,
( spl8_10
<=> $less(sK7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
tff(f6780,plain,
( ! [X174: $int] :
( ( sK7 = sK2 )
| ( sK2 = X174 )
| $less(X174,sK7)
| $less(sK2,X174) )
| spl8_10 ),
inference(resolution,[],[f2507,f384]) ).
tff(f384,plain,
( ~ $less(sK7,sK2)
| spl8_10 ),
inference(avatar_component_clause,[],[f383]) ).
tff(f7101,plain,
( spl8_94
| spl8_436
| spl8_31 ),
inference(avatar_split_clause,[],[f6765,f672,f7099,f1282]) ).
tff(f7099,plain,
( spl8_436
<=> ! [X159: $int] :
( $less(0,X159)
| $less(X159,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 = X159 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_436])]) ).
tff(f6765,plain,
( ! [X159: $int] :
( $less(0,X159)
| ( 0 = X159 )
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(X159,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) )
| spl8_31 ),
inference(resolution,[],[f2507,f674]) ).
tff(f7097,plain,
( spl8_434
| spl8_435
| spl8_259 ),
inference(avatar_split_clause,[],[f6772,f3842,f7095,f7091]) ).
tff(f7091,plain,
( spl8_434
<=> ( -1 = sK1(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_434])]) ).
tff(f7095,plain,
( spl8_435
<=> ! [X166: $int] :
( $less(X166,sK1(sK3))
| ( -1 = X166 )
| $less(-1,X166) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_435])]) ).
tff(f3842,plain,
( spl8_259
<=> $less(sK1(sK3),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_259])]) ).
tff(f6772,plain,
( ! [X166: $int] :
( $less(X166,sK1(sK3))
| $less(-1,X166)
| ( -1 = sK1(sK3) )
| ( -1 = X166 ) )
| spl8_259 ),
inference(resolution,[],[f2507,f3844]) ).
tff(f3844,plain,
( ~ $less(sK1(sK3),-1)
| spl8_259 ),
inference(avatar_component_clause,[],[f3842]) ).
tff(f7089,plain,
( spl8_432
| spl8_433
| spl8_329 ),
inference(avatar_split_clause,[],[f6778,f5210,f7087,f7083]) ).
tff(f7083,plain,
( spl8_432
<=> ( -7 = sK1(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_432])]) ).
tff(f7087,plain,
( spl8_433
<=> ! [X172: $int] :
( $less(X172,sK1(sK3))
| $less(-7,X172)
| ( -7 = X172 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_433])]) ).
tff(f5210,plain,
( spl8_329
<=> $less(sK1(sK3),-7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_329])]) ).
tff(f6778,plain,
( ! [X172: $int] :
( $less(X172,sK1(sK3))
| ( -7 = X172 )
| ( -7 = sK1(sK3) )
| $less(-7,X172) )
| spl8_329 ),
inference(resolution,[],[f2507,f5212]) ).
tff(f5212,plain,
( ~ $less(sK1(sK3),-7)
| spl8_329 ),
inference(avatar_component_clause,[],[f5210]) ).
tff(f7081,plain,
( spl8_136
| spl8_431
| spl8_133 ),
inference(avatar_split_clause,[],[f6762,f1756,f7079,f1850]) ).
tff(f1850,plain,
( spl8_136
<=> ( 0 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_136])]) ).
tff(f7079,plain,
( spl8_431
<=> ! [X156: $int] :
( ( 0 = X156 )
| $less(0,X156)
| $less(X156,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_431])]) ).
tff(f1756,plain,
( spl8_133
<=> $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_133])]) ).
tff(f6762,plain,
( ! [X156: $int] :
( ( 0 = X156 )
| $less(X156,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| $less(0,X156)
| ( 0 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) )
| spl8_133 ),
inference(resolution,[],[f2507,f1757]) ).
tff(f1757,plain,
( ~ $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_133 ),
inference(avatar_component_clause,[],[f1756]) ).
tff(f7077,plain,
( spl8_48
| spl8_430
| spl8_45 ),
inference(avatar_split_clause,[],[f6768,f801,f7075,f844]) ).
tff(f7075,plain,
( spl8_430
<=> ! [X162: $int] :
( $less($sum(sK2,1),X162)
| $less(X162,sK1(sK3))
| ( $sum(sK2,1) = X162 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_430])]) ).
tff(f6768,plain,
( ! [X162: $int] :
( $less($sum(sK2,1),X162)
| ( sK1(sK3) = $sum(sK2,1) )
| ( $sum(sK2,1) = X162 )
| $less(X162,sK1(sK3)) )
| spl8_45 ),
inference(resolution,[],[f2507,f802]) ).
tff(f6683,plain,
( ~ spl8_429
| ~ spl8_37
| spl8_428 ),
inference(avatar_split_clause,[],[f6676,f6610,f721,f6680]) ).
tff(f6680,plain,
( spl8_429
<=> $less(15,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_429])]) ).
tff(f6610,plain,
( spl8_428
<=> $less(15,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_428])]) ).
tff(f6676,plain,
( ~ $less(15,sK2)
| ~ spl8_37
| spl8_428 ),
inference(resolution,[],[f6612,f1149]) ).
tff(f6612,plain,
( ~ $less(15,sK7)
| spl8_428 ),
inference(avatar_component_clause,[],[f6610]) ).
tff(f6613,plain,
( ~ spl8_428
| ~ spl8_425 ),
inference(avatar_split_clause,[],[f6590,f6544,f6610]) ).
tff(f6590,plain,
( ~ $less(15,sK7)
| ~ spl8_425 ),
inference(interpreted_simplification,[],[f6589]) ).
tff(f6589,plain,
( ~ $less(15,sK7)
| $less(15,15)
| ~ spl8_425 ),
inference(instantiation,[],[f6562]) ).
tff(f6571,plain,
( spl8_426
| spl8_226
| spl8_427
| ~ spl8_37
| ~ spl8_425 ),
inference(avatar_split_clause,[],[f6561,f6544,f721,f6568,f3310,f6564]) ).
tff(f6564,plain,
( spl8_426
<=> $less(sK2,15) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_426])]) ).
tff(f6568,plain,
( spl8_427
<=> ( 15 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_427])]) ).
tff(f6561,plain,
( ( 15 = sK2 )
| $less(sK7,sK7)
| $less(sK2,15)
| ~ spl8_37
| ~ spl8_425 ),
inference(resolution,[],[f6546,f1221]) ).
tff(f6547,plain,
( spl8_425
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f6541,f3260,f6544]) ).
tff(f6541,plain,
( $less(sK7,15)
| ~ spl8_222 ),
inference(evaluation,[],[f6539]) ).
tff(f6539,plain,
( $less(sK7,$sum(15,0))
| ~ spl8_222 ),
inference(superposition,[],[f6439,f323]) ).
tff(f6496,plain,
( ~ spl8_424
| ~ spl8_37
| spl8_423 ),
inference(avatar_split_clause,[],[f6489,f6484,f721,f6493]) ).
tff(f6493,plain,
( spl8_424
<=> $less(14,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_424])]) ).
tff(f6484,plain,
( spl8_423
<=> $less(14,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_423])]) ).
tff(f6489,plain,
( ~ $less(14,sK2)
| ~ spl8_37
| spl8_423 ),
inference(resolution,[],[f6486,f1149]) ).
tff(f6486,plain,
( ~ $less(14,sK7)
| spl8_423 ),
inference(avatar_component_clause,[],[f6484]) ).
tff(f6487,plain,
( ~ spl8_423
| ~ spl8_420 ),
inference(avatar_split_clause,[],[f6464,f6442,f6484]) ).
tff(f6464,plain,
( ~ $less(14,sK7)
| ~ spl8_420 ),
inference(interpreted_simplification,[],[f6463]) ).
tff(f6463,plain,
( ~ $less(14,sK7)
| $less(14,14)
| ~ spl8_420 ),
inference(instantiation,[],[f6449]) ).
tff(f6458,plain,
( spl8_421
| spl8_422
| spl8_226
| ~ spl8_37
| ~ spl8_420 ),
inference(avatar_split_clause,[],[f6448,f6442,f721,f3310,f6455,f6451]) ).
tff(f6451,plain,
( spl8_421
<=> $less(sK2,14) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_421])]) ).
tff(f6455,plain,
( spl8_422
<=> ( 14 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_422])]) ).
tff(f6448,plain,
( $less(sK7,sK7)
| ( 14 = sK2 )
| $less(sK2,14)
| ~ spl8_37
| ~ spl8_420 ),
inference(resolution,[],[f6444,f1221]) ).
tff(f6445,plain,
( spl8_420
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f6440,f3260,f6442]) ).
tff(f6440,plain,
( $less(sK7,14)
| ~ spl8_222 ),
inference(evaluation,[],[f6437]) ).
tff(f6437,plain,
( $less(sK7,$sum(14,0))
| ~ spl8_222 ),
inference(superposition,[],[f6108,f323]) ).
tff(f6424,plain,
( spl8_418
| spl8_400
| spl8_419
| ~ spl8_77
| ~ spl8_205
| ~ spl8_328 ),
inference(avatar_split_clause,[],[f6404,f5205,f3018,f1139,f6421,f6196,f6417]) ).
tff(f6421,plain,
( spl8_419
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_419])]) ).
tff(f5205,plain,
( spl8_328
<=> $less(-8,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_328])]) ).
tff(f6404,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = -8 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| $less(-8,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_205
| ~ spl8_328 ),
inference(resolution,[],[f6363,f4628]) ).
tff(f6363,plain,
( ! [X0: $int] :
( ~ $less(X0,-8)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_328 ),
inference(resolution,[],[f5218,f3025]) ).
tff(f5218,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-8) )
| ~ spl8_328 ),
inference(resolution,[],[f5207,f59]) ).
tff(f5207,plain,
( $less(-8,sK1(sK3))
| ~ spl8_328 ),
inference(avatar_component_clause,[],[f5205]) ).
tff(f6379,plain,
( spl8_417
| ~ spl8_328 ),
inference(avatar_split_clause,[],[f6362,f5205,f6376]) ).
tff(f6362,plain,
( $less(-9,sK1(sK3))
| ~ spl8_328 ),
inference(interpreted_simplification,[],[f6361]) ).
tff(f6361,plain,
( $less(-9,sK1(sK3))
| ~ $less(-9,-8)
| ~ spl8_328 ),
inference(instantiation,[],[f5218]) ).
tff(f6374,plain,
( ~ spl8_416
| ~ spl8_328 ),
inference(avatar_split_clause,[],[f6364,f5205,f6371]) ).
tff(f6364,plain,
( ~ $less(sK1(sK3),-8)
| ~ spl8_328 ),
inference(resolution,[],[f5218,f58]) ).
tff(f6319,plain,
( ~ spl8_415
| ~ spl8_37
| spl8_414 ),
inference(avatar_split_clause,[],[f6312,f6303,f721,f6316]) ).
tff(f6316,plain,
( spl8_415
<=> $less(13,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_415])]) ).
tff(f6303,plain,
( spl8_414
<=> $less(13,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_414])]) ).
tff(f6312,plain,
( ~ $less(13,sK2)
| ~ spl8_37
| spl8_414 ),
inference(resolution,[],[f6305,f1149]) ).
tff(f6305,plain,
( ~ $less(13,sK7)
| spl8_414 ),
inference(avatar_component_clause,[],[f6303]) ).
tff(f6306,plain,
( ~ spl8_414
| ~ spl8_395 ),
inference(avatar_split_clause,[],[f6283,f6110,f6303]) ).
tff(f6283,plain,
( ~ $less(13,sK7)
| ~ spl8_395 ),
inference(interpreted_simplification,[],[f6282]) ).
tff(f6282,plain,
( ~ $less(13,sK7)
| $less(13,13)
| ~ spl8_395 ),
inference(instantiation,[],[f6117]) ).
tff(f6261,plain,
( spl8_400
| spl8_410
| spl8_409
| ~ spl8_77
| ~ spl8_205
| ~ spl8_260 ),
inference(avatar_split_clause,[],[f6178,f3902,f3018,f1139,f6237,f6241,f6196]) ).
tff(f6241,plain,
( spl8_410
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_410])]) ).
tff(f6237,plain,
( spl8_409
<=> $less(-3,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_409])]) ).
tff(f3902,plain,
( spl8_260
<=> $less(-3,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_260])]) ).
tff(f6178,plain,
( $less(-3,$sum(1,length1(int,t2tb1(sK3))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -3 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_260 ),
inference(resolution,[],[f4628,f3959]) ).
tff(f3959,plain,
( ! [X0: $int] :
( ~ $less(X0,-3)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_260 ),
inference(resolution,[],[f3915,f3025]) ).
tff(f3915,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-3) )
| ~ spl8_260 ),
inference(resolution,[],[f3904,f59]) ).
tff(f3904,plain,
( $less(-3,sK1(sK3))
| ~ spl8_260 ),
inference(avatar_component_clause,[],[f3902]) ).
tff(f6260,plain,
( spl8_399
| spl8_398
| spl8_411
| ~ spl8_77
| ~ spl8_181 ),
inference(avatar_split_clause,[],[f6181,f2345,f1139,f6245,f6188,f6192]) ).
tff(f6192,plain,
( spl8_399
<=> $less(-4,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_399])]) ).
tff(f6188,plain,
( spl8_398
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_398])]) ).
tff(f6245,plain,
( spl8_411
<=> $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_411])]) ).
tff(f2345,plain,
( spl8_181
<=> $less(-4,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_181])]) ).
tff(f6181,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK1(tb2t1(nil(int))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -4 )
| $less(-4,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_181 ),
inference(resolution,[],[f4628,f2351]) ).
tff(f2351,plain,
( ! [X0: $int] :
( ~ $less(X0,-4)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_181 ),
inference(resolution,[],[f2347,f59]) ).
tff(f2347,plain,
( $less(-4,sK1(tb2t1(nil(int))))
| ~ spl8_181 ),
inference(avatar_component_clause,[],[f2345]) ).
tff(f6259,plain,
( spl8_400
| spl8_412
| spl8_413
| ~ spl8_77
| ~ spl8_205
| ~ spl8_281 ),
inference(avatar_split_clause,[],[f6182,f4365,f3018,f1139,f6255,f6251,f6196]) ).
tff(f6251,plain,
( spl8_412
<=> $less(-5,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_412])]) ).
tff(f6255,plain,
( spl8_413
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_413])]) ).
tff(f4365,plain,
( spl8_281
<=> $less(-5,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_281])]) ).
tff(f6182,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = -5 )
| $less(-5,$sum(1,length1(int,t2tb1(sK3))))
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_281 ),
inference(resolution,[],[f4628,f4516]) ).
tff(f4516,plain,
( ! [X0: $int] :
( ~ $less(X0,-5)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_281 ),
inference(resolution,[],[f4378,f3025]) ).
tff(f4378,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-5) )
| ~ spl8_281 ),
inference(resolution,[],[f4367,f59]) ).
tff(f4367,plain,
( $less(-5,sK1(sK3))
| ~ spl8_281 ),
inference(avatar_component_clause,[],[f4365]) ).
tff(f6258,plain,
( spl8_412
| spl8_413
| spl8_411
| ~ spl8_77
| ~ spl8_182 ),
inference(avatar_split_clause,[],[f6183,f2363,f1139,f6245,f6255,f6251]) ).
tff(f2363,plain,
( spl8_182
<=> $less(-5,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_182])]) ).
tff(f6183,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK1(tb2t1(nil(int))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -5 )
| $less(-5,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_182 ),
inference(resolution,[],[f4628,f2369]) ).
tff(f2369,plain,
( ! [X0: $int] :
( ~ $less(X0,-5)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_182 ),
inference(resolution,[],[f2365,f59]) ).
tff(f2365,plain,
( $less(-5,sK1(tb2t1(nil(int))))
| ~ spl8_182 ),
inference(avatar_component_clause,[],[f2363]) ).
tff(f6249,plain,
( spl8_408
| spl8_411
| spl8_407
| ~ spl8_77
| ~ spl8_171 ),
inference(avatar_split_clause,[],[f6177,f2230,f1139,f6228,f6245,f6232]) ).
tff(f6232,plain,
( spl8_408
<=> $less(-2,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_408])]) ).
tff(f6228,plain,
( spl8_407
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_407])]) ).
tff(f2230,plain,
( spl8_171
<=> $less(-2,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_171])]) ).
tff(f6177,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = -2 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK1(tb2t1(nil(int))))
| $less(-2,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_171 ),
inference(resolution,[],[f4628,f2236]) ).
tff(f2236,plain,
( ! [X0: $int] :
( ~ $less(X0,-2)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_171 ),
inference(resolution,[],[f2232,f59]) ).
tff(f2232,plain,
( $less(-2,sK1(tb2t1(nil(int))))
| ~ spl8_171 ),
inference(avatar_component_clause,[],[f2230]) ).
tff(f6248,plain,
( spl8_409
| spl8_410
| spl8_411
| ~ spl8_77
| ~ spl8_178 ),
inference(avatar_split_clause,[],[f6179,f2311,f1139,f6245,f6241,f6237]) ).
tff(f2311,plain,
( spl8_178
<=> $less(-3,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_178])]) ).
tff(f6179,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK1(tb2t1(nil(int))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -3 )
| $less(-3,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_178 ),
inference(resolution,[],[f4628,f2317]) ).
tff(f2317,plain,
( ! [X0: $int] :
( ~ $less(X0,-3)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_178 ),
inference(resolution,[],[f2313,f59]) ).
tff(f2313,plain,
( $less(-3,sK1(tb2t1(nil(int))))
| ~ spl8_178 ),
inference(avatar_component_clause,[],[f2311]) ).
tff(f6235,plain,
( spl8_400
| spl8_407
| spl8_408
| ~ spl8_77
| ~ spl8_205
| ~ spl8_258 ),
inference(avatar_split_clause,[],[f6176,f3837,f3018,f1139,f6232,f6228,f6196]) ).
tff(f3837,plain,
( spl8_258
<=> $less(-2,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_258])]) ).
tff(f6176,plain,
( $less(-2,$sum(1,length1(int,t2tb1(sK3))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -2 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_258 ),
inference(resolution,[],[f4628,f3894]) ).
tff(f3894,plain,
( ! [X0: $int] :
( ~ $less(X0,-2)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_258 ),
inference(resolution,[],[f3850,f3025]) ).
tff(f3850,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-2) )
| ~ spl8_258 ),
inference(resolution,[],[f3839,f59]) ).
tff(f3839,plain,
( $less(-2,sK1(sK3))
| ~ spl8_258 ),
inference(avatar_component_clause,[],[f3837]) ).
tff(f6226,plain,
( spl8_400
| spl8_405
| spl8_406
| ~ spl8_77
| ~ spl8_205
| ~ spl8_304 ),
inference(avatar_split_clause,[],[f6185,f4822,f3018,f1139,f6223,f6219,f6196]) ).
tff(f6223,plain,
( spl8_406
<=> ( -7 = $sum(1,length1(int,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_406])]) ).
tff(f4822,plain,
( spl8_304
<=> $less(-7,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_304])]) ).
tff(f6185,plain,
( ( -7 = $sum(1,length1(int,t2tb1(sK3))) )
| $less(-7,$sum(1,length1(int,t2tb1(sK3))))
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| ~ spl8_77
| ~ spl8_205
| ~ spl8_304 ),
inference(resolution,[],[f4628,f5197]) ).
tff(f5197,plain,
( ! [X0: $int] :
( ~ $less(X0,-7)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_304 ),
inference(resolution,[],[f4835,f3025]) ).
tff(f4835,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-7) )
| ~ spl8_304 ),
inference(resolution,[],[f4824,f59]) ).
tff(f4824,plain,
( $less(-7,sK1(sK3))
| ~ spl8_304 ),
inference(avatar_component_clause,[],[f4822]) ).
tff(f6217,plain,
( spl8_31
| spl8_403
| spl8_404
| ~ spl8_47
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f6133,f1139,f840,f6214,f6210,f672]) ).
tff(f6214,plain,
( spl8_404
<=> ( $sum(1,length1(int,t2tb1(sK3))) = $sum(sK2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_404])]) ).
tff(f840,plain,
( spl8_47
<=> $less($sum(sK2,1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).
tff(f6133,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = $sum(sK2,1) )
| $less($sum(sK2,1),$sum(1,length1(int,t2tb1(sK3))))
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_47
| ~ spl8_77 ),
inference(resolution,[],[f4628,f852]) ).
tff(f852,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(sK2,1))
| $less(X0,0) )
| ~ spl8_47 ),
inference(resolution,[],[f842,f59]) ).
tff(f842,plain,
( $less($sum(sK2,1),0)
| ~ spl8_47 ),
inference(avatar_component_clause,[],[f840]) ).
tff(f6208,plain,
( spl8_401
| spl8_400
| spl8_402
| ~ spl8_77
| ~ spl8_205
| ~ spl8_289 ),
inference(avatar_split_clause,[],[f6184,f4529,f3018,f1139,f6205,f6196,f6201]) ).
tff(f6201,plain,
( spl8_401
<=> $less(-6,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_401])]) ).
tff(f6205,plain,
( spl8_402
<=> ( $sum(1,length1(int,t2tb1(sK3))) = -6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_402])]) ).
tff(f4529,plain,
( spl8_289
<=> $less(-6,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_289])]) ).
tff(f6184,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = -6 )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| $less(-6,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_205
| ~ spl8_289 ),
inference(resolution,[],[f4628,f4814]) ).
tff(f4814,plain,
( ! [X0: $int] :
( ~ $less(X0,-6)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_289 ),
inference(resolution,[],[f4564,f3025]) ).
tff(f4564,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-6) )
| ~ spl8_289 ),
inference(resolution,[],[f4531,f59]) ).
tff(f4531,plain,
( $less(-6,sK1(sK3))
| ~ spl8_289 ),
inference(avatar_component_clause,[],[f4529]) ).
tff(f6199,plain,
( spl8_398
| spl8_399
| spl8_400
| ~ spl8_77
| ~ spl8_205
| ~ spl8_263 ),
inference(avatar_split_clause,[],[f6180,f3972,f3018,f1139,f6196,f6192,f6188]) ).
tff(f3972,plain,
( spl8_263
<=> $less(-4,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_263])]) ).
tff(f6180,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),2)
| $less(-4,$sum(1,length1(int,t2tb1(sK3))))
| ( $sum(1,length1(int,t2tb1(sK3))) = -4 )
| ~ spl8_77
| ~ spl8_205
| ~ spl8_263 ),
inference(resolution,[],[f4628,f4357]) ).
tff(f4357,plain,
( ! [X0: $int] :
( ~ $less(X0,-4)
| $less(X0,2) )
| ~ spl8_205
| ~ spl8_263 ),
inference(resolution,[],[f3997,f3025]) ).
tff(f3997,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-4) )
| ~ spl8_263 ),
inference(resolution,[],[f3974,f59]) ).
tff(f3974,plain,
( $less(-4,sK1(sK3))
| ~ spl8_263 ),
inference(avatar_component_clause,[],[f3972]) ).
tff(f6126,plain,
( spl8_396
| spl8_226
| spl8_397
| ~ spl8_37
| ~ spl8_395 ),
inference(avatar_split_clause,[],[f6116,f6110,f721,f6123,f3310,f6119]) ).
tff(f6119,plain,
( spl8_396
<=> ( sK2 = 13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_396])]) ).
tff(f6123,plain,
( spl8_397
<=> $less(sK2,13) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_397])]) ).
tff(f6116,plain,
( $less(sK2,13)
| $less(sK7,sK7)
| ( sK2 = 13 )
| ~ spl8_37
| ~ spl8_395 ),
inference(resolution,[],[f6112,f1221]) ).
tff(f6113,plain,
( spl8_395
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f6107,f3260,f6110]) ).
tff(f6107,plain,
( $less(sK7,13)
| ~ spl8_222 ),
inference(evaluation,[],[f6105]) ).
tff(f6105,plain,
( $less(sK7,$sum(13,0))
| ~ spl8_222 ),
inference(superposition,[],[f5565,f323]) ).
tff(f6044,plain,
( ~ spl8_394
| spl8_173
| spl8_386 ),
inference(avatar_split_clause,[],[f6039,f5907,f2254,f6041]) ).
tff(f6041,plain,
( spl8_394
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_394])]) ).
tff(f6039,plain,
( ( 0 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| spl8_386 ),
inference(superposition,[],[f5908,f337]) ).
tff(f337,plain,
! [X2: uni,X3: uni,X0: $int,X1: ty] :
( ( nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) )
| ( 0 = X0 ) ),
inference(evaluation,[],[f167]) ).
tff(f167,plain,
! [X2: uni,X3: uni,X0: $int,X1: ty] :
( ( nth1(X1,$sum(X0,$uminus(1)),X2) = nth1(X1,X0,cons(X1,X3,X2)) )
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: $int,X1: ty] :
( ! [X2: uni,X3: uni] :
( ( ( nth1(X1,$sum(X0,$uminus(1)),X2) = nth1(X1,X0,cons(X1,X3,X2)) )
| ( 0 = X0 ) )
& ( ( some(X1,X3) = nth1(X1,X0,cons(X1,X3,X2)) )
| ( 0 != X0 ) ) )
& ( none(X1) = nth1(X1,X0,nil(X1)) ) ),
inference(rectify,[],[f114]) ).
tff(f114,plain,
! [X1: $int,X0: ty] :
( ! [X2: uni,X3: uni] :
( ( ( nth1(X0,X1,cons(X0,X3,X2)) = nth1(X0,$sum(X1,$uminus(1)),X2) )
| ( 0 = X1 ) )
& ( ( nth1(X0,X1,cons(X0,X3,X2)) = some(X0,X3) )
| ( 0 != X1 ) ) )
& ( none(X0) = nth1(X0,X1,nil(X0)) ) ),
inference(ennf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: ty,X1: $int] :
( ! [X2: uni,X3: uni] :
( ( ( 0 != X1 )
=> ( nth1(X0,X1,cons(X0,X3,X2)) = nth1(X0,$sum(X1,$uminus(1)),X2) ) )
& ( ( 0 = X1 )
=> ( nth1(X0,X1,cons(X0,X3,X2)) = some(X0,X3) ) ) )
& ( none(X0) = nth1(X0,X1,nil(X0)) ) ),
inference(rectify,[],[f47]) ).
tff(f47,plain,
! [X0: ty,X13: $int] :
( ! [X2: uni,X1: uni] :
( ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) )
& ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$sum(X13,$uminus(1)),X2) ) ) )
& ( none(X0) = nth1(X0,X13,nil(X0)) ) ),
inference(theory_normalization,[],[f33]) ).
tff(f33,axiom,
! [X0: ty,X13: $int] :
( ! [X2: uni,X1: uni] :
( ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) )
& ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$difference(X13,1),X2) ) ) )
& ( none(X0) = nth1(X0,X13,nil(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nth_def) ).
tff(f5908,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_386 ),
inference(avatar_component_clause,[],[f5907]) ).
tff(f6038,plain,
( ~ spl8_393
| ~ spl8_37
| spl8_392 ),
inference(avatar_split_clause,[],[f6031,f6026,f721,f6035]) ).
tff(f6035,plain,
( spl8_393
<=> $less(12,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_393])]) ).
tff(f6026,plain,
( spl8_392
<=> $less(12,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_392])]) ).
tff(f6031,plain,
( ~ $less(12,sK2)
| ~ spl8_37
| spl8_392 ),
inference(resolution,[],[f6028,f1149]) ).
tff(f6028,plain,
( ~ $less(12,sK7)
| spl8_392 ),
inference(avatar_component_clause,[],[f6026]) ).
tff(f6029,plain,
( ~ spl8_392
| ~ spl8_352 ),
inference(avatar_split_clause,[],[f6007,f5568,f6026]) ).
tff(f6007,plain,
( ~ $less(12,sK7)
| ~ spl8_352 ),
inference(interpreted_simplification,[],[f6006]) ).
tff(f6006,plain,
( ~ $less(12,sK7)
| $less(12,12)
| ~ spl8_352 ),
inference(instantiation,[],[f5748]) ).
tff(f5997,plain,
( ~ spl8_391
| spl8_312
| ~ spl8_41
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f5992,f1660,f755,f4971,f5994]) ).
tff(f5994,plain,
( spl8_391
<=> $less($sum(sK7,$uminus($sum(sK2,1))),$sum(sK2,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_391])]) ).
tff(f755,plain,
( spl8_41
<=> zero_at1(sK3,$sum(sK2,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).
tff(f1660,plain,
( spl8_120
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_120])]) ).
tff(f5992,plain,
( $less($sum(sK7,$uminus($sum(sK2,1))),0)
| ~ $less($sum(sK7,$uminus($sum(sK2,1))),$sum(sK2,$uminus($sum(sK2,1))))
| ~ spl8_41
| ~ spl8_120 ),
inference(trivial_inequality_removal,[],[f5991]) ).
tff(f5991,plain,
( $less($sum(sK7,$uminus($sum(sK2,1))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less($sum(sK7,$uminus($sum(sK2,1))),$sum(sK2,$uminus($sum(sK2,1))))
| ~ spl8_41
| ~ spl8_120 ),
inference(superposition,[],[f5945,f1662]) ).
tff(f1662,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3)) )
| ~ spl8_120 ),
inference(avatar_component_clause,[],[f1660]) ).
tff(f5945,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK2,$uminus($sum(sK2,1))))
| $less(X0,0) )
| ~ spl8_41 ),
inference(resolution,[],[f756,f172]) ).
tff(f756,plain,
( zero_at1(sK3,$sum(sK2,$uminus($sum(sK2,1))))
| ~ spl8_41 ),
inference(avatar_component_clause,[],[f755]) ).
tff(f5988,plain,
( spl8_388
| spl8_390
| ~ spl8_52 ),
inference(avatar_split_clause,[],[f5963,f925,f5986,f5977]) ).
tff(f5977,plain,
( spl8_388
<=> $less($sum(sK2,$uminus($sum(sK2,1))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_388])]) ).
tff(f5986,plain,
( spl8_390
<=> ! [X2: $int] :
( ~ $less($sum(sK2,$uminus($sum(sK2,1))),X2)
| $less(sK0(X2,sK3),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_390])]) ).
tff(f925,plain,
( spl8_52
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).
tff(f5963,plain,
( ! [X2: $int] :
( ~ $less($sum(sK2,$uminus($sum(sK2,1))),X2)
| $less($sum(sK2,$uminus($sum(sK2,1))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2) )
| ~ spl8_52 ),
inference(trivial_inequality_removal,[],[f5958]) ).
tff(f5958,plain,
( ! [X2: $int] :
( $less($sum(sK2,$uminus($sum(sK2,1))),0)
| $less(sK0(X2,sK3),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| ~ $less($sum(sK2,$uminus($sum(sK2,1))),X2) )
| ~ spl8_52 ),
inference(superposition,[],[f959,f926]) ).
tff(f926,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3))) )
| ~ spl8_52 ),
inference(avatar_component_clause,[],[f925]) ).
tff(f5984,plain,
( spl8_388
| ~ spl8_389
| ~ spl8_12
| ~ spl8_52 ),
inference(avatar_split_clause,[],[f5965,f925,f393,f5981,f5977]) ).
tff(f5981,plain,
( spl8_389
<=> $less($sum(sK2,$uminus($sum(sK2,1))),$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_389])]) ).
tff(f393,plain,
( spl8_12
<=> zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
tff(f5965,plain,
( ~ $less($sum(sK2,$uminus($sum(sK2,1))),$sum(sK7,$uminus($sum(sK2,1))))
| $less($sum(sK2,$uminus($sum(sK2,1))),0)
| ~ spl8_12
| ~ spl8_52 ),
inference(trivial_inequality_removal,[],[f5955]) ).
tff(f5955,plain,
( $less($sum(sK2,$uminus($sum(sK2,1))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less($sum(sK2,$uminus($sum(sK2,1))),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_12
| ~ spl8_52 ),
inference(superposition,[],[f4200,f926]) ).
tff(f4200,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK7,$uminus($sum(sK2,1))))
| $less(X0,0) )
| ~ spl8_12 ),
inference(resolution,[],[f395,f172]) ).
tff(f395,plain,
( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f393]) ).
tff(f5975,plain,
( spl8_387
| ~ spl8_52 ),
inference(avatar_split_clause,[],[f5970,f925,f5972]) ).
tff(f5972,plain,
( spl8_387
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_387])]) ).
tff(f5970,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3)) )
| ~ spl8_52 ),
inference(forward_demodulation,[],[f5962,f192]) ).
tff(f192,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f5962,plain,
( ( nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3)) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_52 ),
inference(superposition,[],[f192,f926]) ).
tff(f5953,plain,
( spl8_85
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5952,f1746,f1213]) ).
tff(f1746,plain,
( spl8_131
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_131])]) ).
tff(f5952,plain,
( ( some(int,t2tb2(0)) = some(int,t2tb2(sK4)) )
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5951,f192]) ).
tff(f5951,plain,
( ( t2tb(tb2t(some(int,t2tb2(0)))) = some(int,t2tb2(sK4)) )
| ~ spl8_131 ),
inference(superposition,[],[f192,f1747]) ).
tff(f1747,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK4))) )
| ~ spl8_131 ),
inference(avatar_component_clause,[],[f1746]) ).
tff(f5940,plain,
( spl8_128
| ~ spl8_14
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f5939,f1700,f402,f1727]) ).
tff(f1727,plain,
( spl8_128
<=> zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_128])]) ).
tff(f402,plain,
( spl8_14
<=> zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
tff(f1700,plain,
( spl8_125
<=> ( 0 = $sum(sK2,$uminus(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_125])]) ).
tff(f5939,plain,
( zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),0)
| ~ spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f403,f1702]) ).
tff(f1702,plain,
( ( 0 = $sum(sK2,$uminus(sK2)) )
| ~ spl8_125 ),
inference(avatar_component_clause,[],[f1700]) ).
tff(f403,plain,
( zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f402]) ).
tff(f5938,plain,
( spl8_129
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5937,f1746,f1700,f402,f1732]) ).
tff(f5937,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5936]) ).
tff(f5936,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5935,f1747]) ).
tff(f5935,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5850,f1702]) ).
tff(f5850,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5849,f322]) ).
tff(f322,plain,
! [X2: uni,X3: uni,X1: ty] : ( nth1(X1,0,cons(X1,X3,X2)) = some(X1,X3) ),
inference(equality_resolution,[],[f166]) ).
tff(f166,plain,
! [X2: uni,X3: uni,X0: $int,X1: ty] :
( ( some(X1,X3) = nth1(X1,X0,cons(X1,X3,X2)) )
| ( 0 != X0 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f5849,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1268,f1702]) ).
tff(f1268,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| spl8_14 ),
inference(forward_demodulation,[],[f1264,f314]) ).
tff(f1264,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14 ),
inference(resolution,[],[f404,f171]) ).
tff(f404,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| spl8_14 ),
inference(avatar_component_clause,[],[f402]) ).
tff(f5934,plain,
( spl8_129
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5933,f1746,f1727,f1732]) ).
tff(f5933,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5932]) ).
tff(f5932,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f1940,f1747]) ).
tff(f1940,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_128 ),
inference(forward_demodulation,[],[f1939,f322]) ).
tff(f1939,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128 ),
inference(forward_demodulation,[],[f1797,f314]) ).
tff(f1797,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128 ),
inference(resolution,[],[f1729,f171]) ).
tff(f1729,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),0)
| spl8_128 ),
inference(avatar_component_clause,[],[f1727]) ).
tff(f5931,plain,
( spl8_129
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5930,f1746,f1727,f1732]) ).
tff(f5930,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5929]) ).
tff(f5929,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f4255,f1747]) ).
tff(f4255,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128 ),
inference(forward_demodulation,[],[f4254,f322]) ).
tff(f4254,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f4249,f314]) ).
tff(f4249,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(resolution,[],[f1729,f171]) ).
tff(f5928,plain,
( spl8_386
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5927,f1746,f1700,f402,f5907]) ).
tff(f5927,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5926]) ).
tff(f5926,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5875,f1747]) ).
tff(f5875,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5874,f322]) ).
tff(f5874,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5873,f1702]) ).
tff(f5873,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f980,f1702]) ).
tff(f980,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14 ),
inference(forward_demodulation,[],[f979,f314]) ).
tff(f979,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14 ),
inference(forward_demodulation,[],[f975,f314]) ).
tff(f975,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14 ),
inference(resolution,[],[f169,f404]) ).
tff(f5925,plain,
( spl8_129
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5924,f1746,f1700,f402,f1732]) ).
tff(f5924,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5923]) ).
tff(f5923,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5846,f1747]) ).
tff(f5846,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5845,f322]) ).
tff(f5845,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5844,f1702]) ).
tff(f5844,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f956,f1702]) ).
tff(f956,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14 ),
inference(forward_demodulation,[],[f951,f314]) ).
tff(f951,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| spl8_14 ),
inference(resolution,[],[f171,f404]) ).
tff(f5922,plain,
( spl8_386
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5921,f1746,f1727,f5907]) ).
tff(f5921,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5920]) ).
tff(f5920,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f2118,f1747]) ).
tff(f2118,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f2117,f322]) ).
tff(f2117,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f2116,f314]) ).
tff(f2116,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(forward_demodulation,[],[f2111,f314]) ).
tff(f2111,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(resolution,[],[f1729,f169]) ).
tff(f5919,plain,
( spl8_386
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5918,f1746,f1727,f5907]) ).
tff(f5918,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5917]) ).
tff(f5917,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5916,f1747]) ).
tff(f5916,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_128 ),
inference(forward_demodulation,[],[f1802,f314]) ).
tff(f1802,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_128 ),
inference(forward_demodulation,[],[f1801,f322]) ).
tff(f1801,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(forward_demodulation,[],[f1796,f314]) ).
tff(f1796,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(resolution,[],[f1729,f169]) ).
tff(f5915,plain,
( spl8_386
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5914,f1746,f1700,f402,f5907]) ).
tff(f5914,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5913,f1702]) ).
tff(f5913,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5912,f314]) ).
tff(f5912,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5911]) ).
tff(f5911,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14
| ~ spl8_125
| ~ spl8_131 ),
inference(forward_demodulation,[],[f5896,f1747]) ).
tff(f5896,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5895,f322]) ).
tff(f5895,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1267,f1702]) ).
tff(f1267,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14 ),
inference(forward_demodulation,[],[f1263,f314]) ).
tff(f1263,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_14 ),
inference(resolution,[],[f404,f169]) ).
tff(f5910,plain,
( spl8_386
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5905,f1746,f1727,f5907]) ).
tff(f5905,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5904]) ).
tff(f5904,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f4253,f1747]) ).
tff(f4253,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f4252,f322]) ).
tff(f4252,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f4251,f314]) ).
tff(f4251,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f4248,f314]) ).
tff(f4248,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_128 ),
inference(resolution,[],[f1729,f169]) ).
tff(f5903,plain,
( spl8_129
| spl8_128
| ~ spl8_131 ),
inference(avatar_split_clause,[],[f5902,f1746,f1727,f1732]) ).
tff(f5902,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(trivial_inequality_removal,[],[f5901]) ).
tff(f5901,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128
| ~ spl8_131 ),
inference(forward_demodulation,[],[f2115,f1747]) ).
tff(f2115,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_128 ),
inference(forward_demodulation,[],[f2114,f322]) ).
tff(f2114,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_128 ),
inference(forward_demodulation,[],[f2112,f314]) ).
tff(f2112,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_128 ),
inference(resolution,[],[f1729,f171]) ).
tff(f5892,plain,
( spl8_131
| ~ spl8_54
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f5891,f1700,f935,f1746]) ).
tff(f935,plain,
( spl8_54
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
tff(f5891,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK4))) )
| ~ spl8_54
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5890,f322]) ).
tff(f5890,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_54
| ~ spl8_125 ),
inference(forward_demodulation,[],[f936,f1702]) ).
tff(f936,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_54 ),
inference(avatar_component_clause,[],[f935]) ).
tff(f5872,plain,
( spl8_385
| ~ spl8_113
| ~ spl8_265 ),
inference(avatar_split_clause,[],[f5865,f4004,f1470,f5869]) ).
tff(f5869,plain,
( spl8_385
<=> ( some(int,t2tb2(0)) = nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_385])]) ).
tff(f4004,plain,
( spl8_265
<=> ( some(int,t2tb2(0)) = nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_265])]) ).
tff(f5865,plain,
( ( some(int,t2tb2(0)) = nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_113
| ~ spl8_265 ),
inference(backward_demodulation,[],[f4006,f1472]) ).
tff(f4006,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_265 ),
inference(avatar_component_clause,[],[f4004]) ).
tff(f5841,plain,
( spl8_382
| spl8_384
| ~ spl8_192 ),
inference(avatar_split_clause,[],[f5803,f2478,f5839,f5829]) ).
tff(f5829,plain,
( spl8_382
<=> $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_382])]) ).
tff(f5839,plain,
( spl8_384
<=> ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_384])]) ).
tff(f2478,plain,
( spl8_192
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_192])]) ).
tff(f5803,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| ~ $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2)
| $less(sK0(X2,sK3),X2)
| $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0) )
| ~ spl8_192 ),
inference(trivial_inequality_removal,[],[f5798]) ).
tff(f5798,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_192 ),
inference(superposition,[],[f959,f2479]) ).
tff(f2479,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ~ spl8_192 ),
inference(avatar_component_clause,[],[f2478]) ).
tff(f5837,plain,
( spl8_383
| spl8_379
| ~ spl8_192 ),
inference(avatar_split_clause,[],[f5804,f2478,f5817,f5834]) ).
tff(f5834,plain,
( spl8_383
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_383])]) ).
tff(f5817,plain,
( spl8_379
<=> ! [X1: $int] :
( ~ $less(X1,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) )
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_379])]) ).
tff(f5804,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1)) )
| ~ spl8_192 ),
inference(trivial_inequality_removal,[],[f5796]) ).
tff(f5796,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| $less(X0,0) )
| ~ spl8_192 ),
inference(superposition,[],[f977,f2479]) ).
tff(f5832,plain,
( ~ spl8_381
| spl8_382
| ~ spl8_12
| ~ spl8_192 ),
inference(avatar_split_clause,[],[f5806,f2478,f393,f5829,f5825]) ).
tff(f5825,plain,
( spl8_381
<=> $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_381])]) ).
tff(f5806,plain,
( $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_12
| ~ spl8_192 ),
inference(trivial_inequality_removal,[],[f5795]) ).
tff(f5795,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1))))
| $less($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ spl8_12
| ~ spl8_192 ),
inference(superposition,[],[f4200,f2479]) ).
tff(f5823,plain,
( spl8_379
| ~ spl8_380
| ~ spl8_192 ),
inference(avatar_split_clause,[],[f5808,f2478,f5820,f5817]) ).
tff(f5820,plain,
( spl8_380
<=> $less(sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_380])]) ).
tff(f5808,plain,
( ! [X1: $int] :
( ~ $less(sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0)
| ~ $less(X1,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) ) )
| ~ spl8_192 ),
inference(trivial_inequality_removal,[],[f5797]) ).
tff(f5797,plain,
( ! [X1: $int] :
( ~ $less(sK0($sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(X1,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) ) )
| ~ spl8_192 ),
inference(superposition,[],[f960,f2479]) ).
tff(f5815,plain,
( spl8_378
| ~ spl8_192 ),
inference(avatar_split_clause,[],[f5810,f2478,f5812]) ).
tff(f5812,plain,
( spl8_378
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_378])]) ).
tff(f5810,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_192 ),
inference(forward_demodulation,[],[f5802,f192]) ).
tff(f5802,plain,
( ( t2tb(tb2t(some(int,t2tb2(0)))) = nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_192 ),
inference(superposition,[],[f192,f2479]) ).
tff(f5757,plain,
( spl8_226
| spl8_376
| spl8_377
| ~ spl8_37
| ~ spl8_352 ),
inference(avatar_split_clause,[],[f5747,f5568,f721,f5754,f5750,f3310]) ).
tff(f5750,plain,
( spl8_376
<=> ( 12 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_376])]) ).
tff(f5754,plain,
( spl8_377
<=> $less(sK2,12) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_377])]) ).
tff(f5747,plain,
( $less(sK2,12)
| ( 12 = sK2 )
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_352 ),
inference(resolution,[],[f5570,f1221]) ).
tff(f5739,plain,
( spl8_357
| spl8_356
| spl8_375
| ~ spl8_27
| ~ spl8_159 ),
inference(avatar_split_clause,[],[f5614,f2012,f632,f5736,f5646,f5650]) ).
tff(f5650,plain,
( spl8_357
<=> $less(sK7,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_357])]) ).
tff(f5646,plain,
( spl8_356
<=> ( $sum(sK7,$uminus(sK2)) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_356])]) ).
tff(f2012,plain,
( spl8_159
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_159])]) ).
tff(f5614,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK7,$sum(sK7,$uminus(sK2)))
| ~ spl8_27
| ~ spl8_159 ),
inference(resolution,[],[f2523,f4297]) ).
tff(f2523,plain,
( ! [X43: $int] :
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),X43)
| ( $sum(sK7,$uminus(sK2)) = X43 )
| $less(X43,$sum(sK7,$uminus(sK2))) )
| ~ spl8_159 ),
inference(resolution,[],[f702,f2014]) ).
tff(f2014,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK7,$uminus(sK2)))
| ~ spl8_159 ),
inference(avatar_component_clause,[],[f2012]) ).
tff(f5734,plain,
( spl8_374
| spl8_356
| spl8_357
| ~ spl8_159
| ~ spl8_243 ),
inference(avatar_split_clause,[],[f5611,f3638,f2012,f5650,f5646,f5731]) ).
tff(f5731,plain,
( spl8_374
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_374])]) ).
tff(f5611,plain,
( $less(sK7,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),5)
| ~ spl8_159
| ~ spl8_243 ),
inference(resolution,[],[f2523,f3645]) ).
tff(f5729,plain,
( spl8_373
| spl8_357
| spl8_356
| ~ spl8_159
| ~ spl8_299 ),
inference(avatar_split_clause,[],[f5617,f4734,f2012,f5646,f5650,f5726]) ).
tff(f5726,plain,
( spl8_373
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),9) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_373])]) ).
tff(f5617,plain,
( ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK7,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),9)
| ~ spl8_159
| ~ spl8_299 ),
inference(resolution,[],[f2523,f4741]) ).
tff(f5724,plain,
( spl8_371
| spl8_353
| spl8_372
| ~ spl8_159
| ~ spl8_170 ),
inference(avatar_split_clause,[],[f5620,f2208,f2012,f5721,f5633,f5717]) ).
tff(f5717,plain,
( spl8_371
<=> ( $sum(sK7,$uminus(sK2)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_371])]) ).
tff(f5633,plain,
( spl8_353
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_353])]) ).
tff(f5721,plain,
( spl8_372
<=> $less(-1,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_372])]) ).
tff(f2208,plain,
( spl8_170
<=> $less(-1,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_170])]) ).
tff(f5620,plain,
( $less(-1,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| ( $sum(sK7,$uminus(sK2)) = -1 )
| ~ spl8_159
| ~ spl8_170 ),
inference(resolution,[],[f2523,f2214]) ).
tff(f2214,plain,
( ! [X0: $int] :
( ~ $less(X0,-1)
| $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_170 ),
inference(resolution,[],[f2210,f59]) ).
tff(f2210,plain,
( $less(-1,sK1(tb2t1(nil(int))))
| ~ spl8_170 ),
inference(avatar_component_clause,[],[f2208]) ).
tff(f5715,plain,
( spl8_370
| spl8_356
| spl8_357
| ~ spl8_159
| ~ spl8_283 ),
inference(avatar_split_clause,[],[f5615,f4432,f2012,f5650,f5646,f5712]) ).
tff(f5712,plain,
( spl8_370
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_370])]) ).
tff(f5615,plain,
( $less(sK7,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),7)
| ~ spl8_159
| ~ spl8_283 ),
inference(resolution,[],[f2523,f4439]) ).
tff(f5710,plain,
( spl8_357
| spl8_356
| spl8_369
| ~ spl8_159
| ~ spl8_194 ),
inference(avatar_split_clause,[],[f5607,f2690,f2012,f5707,f5646,f5650]) ).
tff(f5707,plain,
( spl8_369
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_369])]) ).
tff(f5607,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),1)
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK7,$sum(sK7,$uminus(sK2)))
| ~ spl8_159
| ~ spl8_194 ),
inference(resolution,[],[f2523,f2697]) ).
tff(f5705,plain,
( spl8_368
| spl8_356
| spl8_357
| ~ spl8_159
| ~ spl8_224 ),
inference(avatar_split_clause,[],[f5609,f3297,f2012,f5650,f5646,f5702]) ).
tff(f5702,plain,
( spl8_368
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_368])]) ).
tff(f5609,plain,
( $less(sK7,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),3)
| ~ spl8_159
| ~ spl8_224 ),
inference(resolution,[],[f2523,f3304]) ).
tff(f5700,plain,
( spl8_366
| spl8_353
| spl8_367
| ~ spl8_159
| ~ spl8_171 ),
inference(avatar_split_clause,[],[f5622,f2230,f2012,f5697,f5633,f5693]) ).
tff(f5693,plain,
( spl8_366
<=> ( $sum(sK7,$uminus(sK2)) = -2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_366])]) ).
tff(f5697,plain,
( spl8_367
<=> $less(-2,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_367])]) ).
tff(f5622,plain,
( $less(-2,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| ( $sum(sK7,$uminus(sK2)) = -2 )
| ~ spl8_159
| ~ spl8_171 ),
inference(resolution,[],[f2523,f2236]) ).
tff(f5691,plain,
( spl8_364
| spl8_365
| spl8_353
| ~ spl8_159
| ~ spl8_182 ),
inference(avatar_split_clause,[],[f5628,f2363,f2012,f5633,f5688,f5684]) ).
tff(f5684,plain,
( spl8_364
<=> ( $sum(sK7,$uminus(sK2)) = -5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_364])]) ).
tff(f5688,plain,
( spl8_365
<=> $less(-5,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_365])]) ).
tff(f5628,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| $less(-5,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = -5 )
| ~ spl8_159
| ~ spl8_182 ),
inference(resolution,[],[f2523,f2369]) ).
tff(f5682,plain,
( spl8_353
| spl8_362
| spl8_363
| ~ spl8_159
| ~ spl8_178 ),
inference(avatar_split_clause,[],[f5624,f2311,f2012,f5679,f5675,f5633]) ).
tff(f5675,plain,
( spl8_362
<=> $less(-3,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_362])]) ).
tff(f5679,plain,
( spl8_363
<=> ( $sum(sK7,$uminus(sK2)) = -3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_363])]) ).
tff(f5624,plain,
( ( $sum(sK7,$uminus(sK2)) = -3 )
| $less(-3,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| ~ spl8_159
| ~ spl8_178 ),
inference(resolution,[],[f2523,f2317]) ).
tff(f5673,plain,
( spl8_357
| spl8_356
| spl8_361
| ~ spl8_22
| ~ spl8_159 ),
inference(avatar_split_clause,[],[f5613,f2012,f439,f5670,f5646,f5650]) ).
tff(f5670,plain,
( spl8_361
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_361])]) ).
tff(f5613,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK7,$sum(sK7,$uminus(sK2)))
| ~ spl8_22
| ~ spl8_159 ),
inference(resolution,[],[f2523,f4293]) ).
tff(f5668,plain,
( spl8_357
| spl8_360
| spl8_356
| ~ spl8_159
| ~ spl8_290 ),
inference(avatar_split_clause,[],[f5616,f4611,f2012,f5646,f5665,f5650]) ).
tff(f5665,plain,
( spl8_360
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),8) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_360])]) ).
tff(f5616,plain,
( ( $sum(sK7,$uminus(sK2)) = sK7 )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),8)
| $less(sK7,$sum(sK7,$uminus(sK2)))
| ~ spl8_159
| ~ spl8_290 ),
inference(resolution,[],[f2523,f4618]) ).
tff(f5663,plain,
( spl8_356
| spl8_357
| spl8_359
| ~ spl8_159
| ~ spl8_316 ),
inference(avatar_split_clause,[],[f5619,f5064,f2012,f5660,f5650,f5646]) ).
tff(f5660,plain,
( spl8_359
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),11) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_359])]) ).
tff(f5619,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),11)
| $less(sK7,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| ~ spl8_159
| ~ spl8_316 ),
inference(resolution,[],[f2523,f5076]) ).
tff(f5658,plain,
( spl8_356
| spl8_358
| spl8_357
| ~ spl8_159
| ~ spl8_276 ),
inference(avatar_split_clause,[],[f5612,f4273,f2012,f5650,f5655,f5646]) ).
tff(f5655,plain,
( spl8_358
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_358])]) ).
tff(f5612,plain,
( $less(sK7,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),6)
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| ~ spl8_159
| ~ spl8_276 ),
inference(resolution,[],[f2523,f4280]) ).
tff(f5653,plain,
( spl8_356
| spl8_353
| spl8_357
| ~ spl8_159
| ~ spl8_163 ),
inference(avatar_split_clause,[],[f5606,f2035,f2012,f5650,f5633,f5646]) ).
tff(f5606,plain,
( $less(sK7,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| ( $sum(sK7,$uminus(sK2)) = sK7 )
| ~ spl8_159
| ~ spl8_163 ),
inference(resolution,[],[f2523,f2153]) ).
tff(f5644,plain,
( spl8_353
| spl8_354
| spl8_355
| ~ spl8_159
| ~ spl8_181 ),
inference(avatar_split_clause,[],[f5626,f2345,f2012,f5641,f5637,f5633]) ).
tff(f5637,plain,
( spl8_354
<=> ( $sum(sK7,$uminus(sK2)) = -4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_354])]) ).
tff(f5641,plain,
( spl8_355
<=> $less(-4,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_355])]) ).
tff(f5626,plain,
( $less(-4,$sum(sK7,$uminus(sK2)))
| ( $sum(sK7,$uminus(sK2)) = -4 )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK1(tb2t1(nil(int))))
| ~ spl8_159
| ~ spl8_181 ),
inference(resolution,[],[f2523,f2351]) ).
tff(f5571,plain,
( spl8_352
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f5566,f3260,f5568]) ).
tff(f5566,plain,
( $less(sK7,12)
| ~ spl8_222 ),
inference(evaluation,[],[f5563]) ).
tff(f5563,plain,
( $less(sK7,$sum(12,0))
| ~ spl8_222 ),
inference(superposition,[],[f5062,f323]) ).
tff(f5550,plain,
( spl8_351
| spl8_35
| spl8_32
| ~ spl8_51
| ~ spl8_205 ),
inference(avatar_split_clause,[],[f5483,f3018,f921,f677,f712,f5547]) ).
tff(f5547,plain,
( spl8_351
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_351])]) ).
tff(f921,plain,
( spl8_51
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
tff(f5483,plain,
( $less(sK1(sK3),0)
| ( 0 = sK1(sK3) )
| $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),2)
| ~ spl8_51
| ~ spl8_205 ),
inference(resolution,[],[f5424,f3025]) ).
tff(f5424,plain,
( ! [X0: $int] :
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),X0)
| ( 0 = X0 )
| $less(X0,0) )
| ~ spl8_51 ),
inference(resolution,[],[f922,f702]) ).
tff(f922,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),0)
| ~ spl8_51 ),
inference(avatar_component_clause,[],[f921]) ).
tff(f5545,plain,
( spl8_89
| spl8_113
| spl8_350
| ~ spl8_51
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f5481,f1256,f921,f5542,f1470,f1243]) ).
tff(f1243,plain,
( spl8_89
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
tff(f5542,plain,
( spl8_350
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_350])]) ).
tff(f1256,plain,
( spl8_91
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_91])]) ).
tff(f5481,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),$sum(sK7,$uminus(sK2)))
| ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_51
| ~ spl8_91 ),
inference(resolution,[],[f5424,f1681]) ).
tff(f1681,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(X0,$sum(sK7,$uminus(sK2))) )
| ~ spl8_91 ),
inference(resolution,[],[f1258,f59]) ).
tff(f1258,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK7,$uminus(sK2)))
| ~ spl8_91 ),
inference(avatar_component_clause,[],[f1256]) ).
tff(f5540,plain,
( spl8_349
| spl8_94
| spl8_31
| ~ spl8_51
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f5484,f1139,f921,f672,f1282,f5537]) ).
tff(f5484,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_51
| ~ spl8_77 ),
inference(resolution,[],[f5424,f4631]) ).
tff(f4631,plain,
( ! [X1: $int] :
( ~ $less(X1,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(X1,$sum(1,length1(int,t2tb1(sK3)))) )
| ~ spl8_77 ),
inference(resolution,[],[f1141,f59]) ).
tff(f5535,plain,
( spl8_348
| ~ spl8_51 ),
inference(avatar_split_clause,[],[f5472,f921,f5532]) ).
tff(f5532,plain,
( spl8_348
<=> $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_348])]) ).
tff(f5472,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),1)
| ~ spl8_51 ),
inference(interpreted_simplification,[],[f5471]) ).
tff(f5471,plain,
( $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),1)
| ( 0 = 1 )
| $less(1,0)
| ~ spl8_51 ),
inference(instantiation,[],[f5424]) ).
tff(f5452,plain,
( spl8_347
| ~ spl8_79
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f5441,f1301,f1165,f5449]) ).
tff(f5449,plain,
( spl8_347
<=> $less(-1,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_347])]) ).
tff(f1165,plain,
( spl8_79
<=> $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).
tff(f5441,plain,
( $less(-1,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_79
| ~ spl8_96 ),
inference(interpreted_simplification,[],[f5440]) ).
tff(f5440,plain,
( $less(-1,$sum(1,length1(int,t2tb1(sK3))))
| ~ $less(-1,0)
| ~ spl8_79
| ~ spl8_96 ),
inference(instantiation,[],[f5347]) ).
tff(f5347,plain,
( ! [X1: $int] :
( $less(X1,$sum(1,length1(int,t2tb1(sK3))))
| ~ $less(X1,0) )
| ~ spl8_79
| ~ spl8_96 ),
inference(backward_demodulation,[],[f4635,f1303]) ).
tff(f4635,plain,
( ! [X1: $int] :
( ~ $less(X1,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| $less(X1,$sum(1,length1(int,t2tb1(sK3)))) )
| ~ spl8_79 ),
inference(resolution,[],[f1167,f59]) ).
tff(f1167,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_79 ),
inference(avatar_component_clause,[],[f1165]) ).
tff(f5421,plain,
( spl8_345
| spl8_341
| ~ spl8_37
| ~ spl8_102
| spl8_338 ),
inference(avatar_split_clause,[],[f5384,f5362,f1351,f721,f5392,f5410]) ).
tff(f5410,plain,
( spl8_345
<=> ( sK7 = sK0(-1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_345])]) ).
tff(f5392,plain,
( spl8_341
<=> $less(sK2,sK0(-1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_341])]) ).
tff(f5362,plain,
( spl8_338
<=> $less(sK0(-1,sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_338])]) ).
tff(f5384,plain,
( $less(sK2,sK0(-1,sK3))
| ( sK7 = sK0(-1,sK3) )
| ~ spl8_37
| ~ spl8_102
| spl8_338 ),
inference(resolution,[],[f5364,f2581]) ).
tff(f5364,plain,
( ~ $less(sK0(-1,sK3),0)
| spl8_338 ),
inference(avatar_component_clause,[],[f5362]) ).
tff(f5420,plain,
( spl8_346
| spl8_343
| spl8_338 ),
inference(avatar_split_clause,[],[f5390,f5362,f5401,f5416]) ).
tff(f5416,plain,
( spl8_346
<=> $less(0,sK0(-1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_346])]) ).
tff(f5401,plain,
( spl8_343
<=> ( 0 = sK0(-1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_343])]) ).
tff(f5390,plain,
( ( 0 = sK0(-1,sK3) )
| $less(0,sK0(-1,sK3))
| spl8_338 ),
inference(resolution,[],[f5364,f60]) ).
tff(f5419,plain,
( spl8_343
| spl8_346
| spl8_338 ),
inference(avatar_split_clause,[],[f5389,f5362,f5416,f5401]) ).
tff(f5389,plain,
( $less(0,sK0(-1,sK3))
| ( 0 = sK0(-1,sK3) )
| spl8_338 ),
inference(resolution,[],[f5364,f60]) ).
tff(f5414,plain,
( spl8_343
| spl8_341
| ~ spl8_43
| spl8_338 ),
inference(avatar_split_clause,[],[f5386,f5362,f793,f5392,f5401]) ).
tff(f5386,plain,
( $less(sK2,sK0(-1,sK3))
| ( 0 = sK0(-1,sK3) )
| ~ spl8_43
| spl8_338 ),
inference(resolution,[],[f5364,f2514]) ).
tff(f5413,plain,
( spl8_345
| spl8_344
| ~ spl8_102
| spl8_338 ),
inference(avatar_split_clause,[],[f5387,f5362,f1351,f5405,f5410]) ).
tff(f5405,plain,
( spl8_344
<=> $less(sK7,sK0(-1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_344])]) ).
tff(f5387,plain,
( $less(sK7,sK0(-1,sK3))
| ( sK7 = sK0(-1,sK3) )
| ~ spl8_102
| spl8_338 ),
inference(resolution,[],[f5364,f1368]) ).
tff(f5408,plain,
( spl8_343
| spl8_344
| ~ spl8_102
| spl8_338 ),
inference(avatar_split_clause,[],[f5385,f5362,f1351,f5405,f5401]) ).
tff(f5385,plain,
( $less(sK7,sK0(-1,sK3))
| ( 0 = sK0(-1,sK3) )
| ~ spl8_102
| spl8_338 ),
inference(resolution,[],[f5364,f2515]) ).
tff(f5399,plain,
( spl8_341
| spl8_342
| ~ spl8_43
| spl8_338 ),
inference(avatar_split_clause,[],[f5388,f5362,f793,f5396,f5392]) ).
tff(f5396,plain,
( spl8_342
<=> ( sK0(-1,sK3) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_342])]) ).
tff(f5388,plain,
( ( sK0(-1,sK3) = sK2 )
| $less(sK2,sK0(-1,sK3))
| ~ spl8_43
| spl8_338 ),
inference(resolution,[],[f5364,f857]) ).
tff(f5383,plain,
( ~ spl8_340
| ~ spl8_96
| spl8_333 ),
inference(avatar_split_clause,[],[f5378,f5319,f1301,f5380]) ).
tff(f5380,plain,
( spl8_340
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(-1,sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_340])]) ).
tff(f5319,plain,
( spl8_333
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_333])]) ).
tff(f5378,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0(-1,sK3),t2tb1(sK3))) )
| ~ spl8_96
| spl8_333 ),
inference(evaluation,[],[f5377]) ).
tff(f5377,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(0,-1),sK3),t2tb1(sK3))) )
| ~ spl8_96
| spl8_333 ),
inference(forward_demodulation,[],[f5320,f1303]) ).
tff(f5320,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| spl8_333 ),
inference(avatar_component_clause,[],[f5319]) ).
tff(f5376,plain,
( ~ spl8_339
| ~ spl8_96
| spl8_330 ),
inference(avatar_split_clause,[],[f5371,f5305,f1301,f5373]) ).
tff(f5373,plain,
( spl8_339
<=> ( some(int,t2tb2(0)) = nth1(int,-1,t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_339])]) ).
tff(f5305,plain,
( spl8_330
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_330])]) ).
tff(f5371,plain,
( ( some(int,t2tb2(0)) != nth1(int,-1,t2tb1(sK3)) )
| ~ spl8_96
| spl8_330 ),
inference(evaluation,[],[f5370]) ).
tff(f5370,plain,
( ( some(int,t2tb2(0)) != nth1(int,$sum(0,-1),t2tb1(sK3)) )
| ~ spl8_96
| spl8_330 ),
inference(forward_demodulation,[],[f5306,f1303]) ).
tff(f5306,plain,
( ( some(int,t2tb2(0)) != nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| spl8_330 ),
inference(avatar_component_clause,[],[f5305]) ).
tff(f5365,plain,
( ~ spl8_338
| ~ spl8_96
| spl8_335 ),
inference(avatar_split_clause,[],[f5360,f5327,f1301,f5362]) ).
tff(f5327,plain,
( spl8_335
<=> $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_335])]) ).
tff(f5360,plain,
( ~ $less(sK0(-1,sK3),0)
| ~ spl8_96
| spl8_335 ),
inference(evaluation,[],[f5359]) ).
tff(f5359,plain,
( ~ $less(sK0($sum(0,-1),sK3),0)
| ~ spl8_96
| spl8_335 ),
inference(forward_demodulation,[],[f5329,f1303]) ).
tff(f5329,plain,
( ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),0)
| spl8_335 ),
inference(avatar_component_clause,[],[f5327]) ).
tff(f5357,plain,
( spl8_337
| ~ spl8_96
| ~ spl8_331 ),
inference(avatar_split_clause,[],[f5350,f5310,f1301,f5354]) ).
tff(f5354,plain,
( spl8_337
<=> $less(-1,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_337])]) ).
tff(f5310,plain,
( spl8_331
<=> $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_331])]) ).
tff(f5350,plain,
( $less(-1,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_96
| ~ spl8_331 ),
inference(evaluation,[],[f5349]) ).
tff(f5349,plain,
( $less($sum(0,-1),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_96
| ~ spl8_331 ),
inference(backward_demodulation,[],[f5311,f1303]) ).
tff(f5311,plain,
( $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_331 ),
inference(avatar_component_clause,[],[f5310]) ).
tff(f5334,plain,
( spl8_332
| spl8_336
| ~ spl8_188 ),
inference(avatar_split_clause,[],[f5296,f2418,f5332,f5314]) ).
tff(f5314,plain,
( spl8_332
<=> $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_332])]) ).
tff(f5332,plain,
( spl8_336
<=> ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_336])]) ).
tff(f2418,plain,
( spl8_188
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_188])]) ).
tff(f5296,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),X2)
| $less(sK0(X2,sK3),X2) )
| ~ spl8_188 ),
inference(trivial_inequality_removal,[],[f5291]) ).
tff(f5291,plain,
( ! [X2: $int] :
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),0)
| $less(sK0(X2,sK3),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) ) )
| ~ spl8_188 ),
inference(superposition,[],[f959,f2420]) ).
tff(f2420,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ~ spl8_188 ),
inference(avatar_component_clause,[],[f2418]) ).
tff(f5330,plain,
( spl8_334
| ~ spl8_335
| ~ spl8_188 ),
inference(avatar_split_clause,[],[f5297,f2418,f5327,f5323]) ).
tff(f5323,plain,
( spl8_334
<=> ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| $less(X0,0)
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_334])]) ).
tff(f5297,plain,
( ! [X1: $int] :
( ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),0)
| $less(X1,0)
| ~ $less(X1,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) ) )
| ~ spl8_188 ),
inference(trivial_inequality_removal,[],[f5290]) ).
tff(f5290,plain,
( ! [X1: $int] :
( ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),0)
| $less(X1,0)
| ~ $less(X1,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_188 ),
inference(superposition,[],[f960,f2420]) ).
tff(f5325,plain,
( spl8_333
| spl8_334
| ~ spl8_188 ),
inference(avatar_split_clause,[],[f5300,f2418,f5323,f5319]) ).
tff(f5300,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1))
| $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) ) )
| ~ spl8_188 ),
inference(trivial_inequality_removal,[],[f5289]) ).
tff(f5289,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1)) )
| ~ spl8_188 ),
inference(superposition,[],[f977,f2420]) ).
tff(f5317,plain,
( ~ spl8_331
| spl8_332
| ~ spl8_12
| ~ spl8_188 ),
inference(avatar_split_clause,[],[f5301,f2418,f393,f5314,f5310]) ).
tff(f5301,plain,
( $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_12
| ~ spl8_188 ),
inference(trivial_inequality_removal,[],[f5288]) ).
tff(f5288,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),$sum(sK7,$uminus($sum(sK2,1))))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ spl8_12
| ~ spl8_188 ),
inference(superposition,[],[f4200,f2420]) ).
tff(f5308,plain,
( spl8_330
| ~ spl8_188 ),
inference(avatar_split_clause,[],[f5303,f2418,f5305]) ).
tff(f5303,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_188 ),
inference(forward_demodulation,[],[f5295,f192]) ).
tff(f5295,plain,
( ( t2tb(tb2t(some(int,t2tb2(0)))) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_188 ),
inference(superposition,[],[f192,f2420]) ).
tff(f5213,plain,
( ~ spl8_329
| ~ spl8_304 ),
inference(avatar_split_clause,[],[f5198,f4822,f5210]) ).
tff(f5198,plain,
( ~ $less(sK1(sK3),-7)
| ~ spl8_304 ),
inference(resolution,[],[f4835,f58]) ).
tff(f5208,plain,
( spl8_328
| ~ spl8_304 ),
inference(avatar_split_clause,[],[f5196,f4822,f5205]) ).
tff(f5196,plain,
( $less(-8,sK1(sK3))
| ~ spl8_304 ),
inference(interpreted_simplification,[],[f5195]) ).
tff(f5195,plain,
( $less(-8,sK1(sK3))
| ~ $less(-8,-7)
| ~ spl8_304 ),
inference(instantiation,[],[f4835]) ).
tff(f5177,plain,
( ~ spl8_327
| spl8_326
| ~ spl8_12
| ~ spl8_149 ),
inference(avatar_split_clause,[],[f5140,f1929,f393,f5169,f5174]) ).
tff(f5174,plain,
( spl8_327
<=> $less($sum($sum(sK7,$uminus(sK2)),-1),$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_327])]) ).
tff(f1929,plain,
( spl8_149
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_149])]) ).
tff(f5140,plain,
( $less($sum($sum(sK7,$uminus(sK2)),-1),0)
| ~ $less($sum($sum(sK7,$uminus(sK2)),-1),$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_12
| ~ spl8_149 ),
inference(trivial_inequality_removal,[],[f5131]) ).
tff(f5131,plain,
( ~ $less($sum($sum(sK7,$uminus(sK2)),-1),$sum(sK7,$uminus($sum(sK2,1))))
| $less($sum($sum(sK7,$uminus(sK2)),-1),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ spl8_12
| ~ spl8_149 ),
inference(superposition,[],[f4200,f1930]) ).
tff(f1930,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3))) )
| ~ spl8_149 ),
inference(avatar_component_clause,[],[f1929]) ).
tff(f5172,plain,
( spl8_325
| spl8_326
| ~ spl8_149 ),
inference(avatar_split_clause,[],[f5141,f1929,f5169,f5166]) ).
tff(f5166,plain,
( spl8_325
<=> ! [X2: $int] :
( $less(sK0(X2,sK3),X2)
| ~ $less($sum($sum(sK7,$uminus(sK2)),-1),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_325])]) ).
tff(f5141,plain,
( ! [X2: $int] :
( $less($sum($sum(sK7,$uminus(sK2)),-1),0)
| $less(sK0(X2,sK3),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| ~ $less($sum($sum(sK7,$uminus(sK2)),-1),X2) )
| ~ spl8_149 ),
inference(trivial_inequality_removal,[],[f5134]) ).
tff(f5134,plain,
( ! [X2: $int] :
( $less(sK0(X2,sK3),X2)
| $less($sum($sum(sK7,$uminus(sK2)),-1),0)
| ~ $less($sum($sum(sK7,$uminus(sK2)),-1),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) ) )
| ~ spl8_149 ),
inference(superposition,[],[f959,f1930]) ).
tff(f5164,plain,
( spl8_324
| ~ spl8_149 ),
inference(avatar_split_clause,[],[f5159,f1929,f5161]) ).
tff(f5161,plain,
( spl8_324
<=> ( some(int,t2tb2(0)) = nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_324])]) ).
tff(f5159,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3)) )
| ~ spl8_149 ),
inference(forward_demodulation,[],[f5138,f192]) ).
tff(f5138,plain,
( ( t2tb(tb2t(some(int,t2tb2(0)))) = nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3)) )
| ~ spl8_149 ),
inference(superposition,[],[f192,f1930]) ).
tff(f5158,plain,
( ~ spl8_323
| spl8_321
| ~ spl8_149 ),
inference(avatar_split_clause,[],[f5142,f1929,f5147,f5155]) ).
tff(f5155,plain,
( spl8_323
<=> $less(sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_323])]) ).
tff(f5147,plain,
( spl8_321
<=> ! [X0: $int] :
( ~ $less(X0,$sum($sum(sK7,$uminus(sK2)),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_321])]) ).
tff(f5142,plain,
( ! [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) )
| ~ $less(sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),0)
| $less(X1,0)
| ~ $less(X1,$sum($sum(sK7,$uminus(sK2)),-1)) )
| ~ spl8_149 ),
inference(trivial_inequality_removal,[],[f5133]) ).
tff(f5133,plain,
( ! [X1: $int] :
( ~ $less(sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),0)
| ~ $less(X1,$sum($sum(sK7,$uminus(sK2)),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(X1,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) ) )
| ~ spl8_149 ),
inference(superposition,[],[f960,f1930]) ).
tff(f5153,plain,
( spl8_321
| spl8_322
| ~ spl8_149 ),
inference(avatar_split_clause,[],[f5144,f1929,f5150,f5147]) ).
tff(f5150,plain,
( spl8_322
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_322])]) ).
tff(f5144,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),t2tb1(sK3))) )
| ~ $less(X0,$sum($sum(sK7,$uminus(sK2)),-1))
| $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) ) )
| ~ spl8_149 ),
inference(trivial_inequality_removal,[],[f5132]) ).
tff(f5132,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum($sum(sK7,$uminus(sK2)),-1),sK3),t2tb1(sK3))) )
| ~ $less(X0,$sum($sum(sK7,$uminus(sK2)),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) ) )
| ~ spl8_149 ),
inference(superposition,[],[f977,f1930]) ).
tff(f5130,plain,
( ~ spl8_320
| ~ spl8_37
| spl8_319 ),
inference(avatar_split_clause,[],[f5123,f5118,f721,f5127]) ).
tff(f5127,plain,
( spl8_320
<=> $less(11,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_320])]) ).
tff(f5118,plain,
( spl8_319
<=> $less(11,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_319])]) ).
tff(f5123,plain,
( ~ $less(11,sK2)
| ~ spl8_37
| spl8_319 ),
inference(resolution,[],[f5120,f1149]) ).
tff(f5120,plain,
( ~ $less(11,sK7)
| spl8_319 ),
inference(avatar_component_clause,[],[f5118]) ).
tff(f5121,plain,
( ~ spl8_319
| ~ spl8_316 ),
inference(avatar_split_clause,[],[f5101,f5064,f5118]) ).
tff(f5101,plain,
( ~ $less(11,sK7)
| ~ spl8_316 ),
inference(interpreted_simplification,[],[f5100]) ).
tff(f5100,plain,
( ~ $less(11,sK7)
| $less(11,11)
| ~ spl8_316 ),
inference(instantiation,[],[f5076]) ).
tff(f5085,plain,
( spl8_226
| spl8_317
| spl8_318
| ~ spl8_37
| ~ spl8_316 ),
inference(avatar_split_clause,[],[f5075,f5064,f721,f5082,f5078,f3310]) ).
tff(f5078,plain,
( spl8_317
<=> $less(sK2,11) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_317])]) ).
tff(f5082,plain,
( spl8_318
<=> ( sK2 = 11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_318])]) ).
tff(f5075,plain,
( ( sK2 = 11 )
| $less(sK2,11)
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_316 ),
inference(resolution,[],[f5066,f1221]) ).
tff(f5067,plain,
( spl8_316
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f5061,f3260,f5064]) ).
tff(f5061,plain,
( $less(sK7,11)
| ~ spl8_222 ),
inference(evaluation,[],[f5059]) ).
tff(f5059,plain,
( $less(sK7,$sum(11,0))
| ~ spl8_222 ),
inference(superposition,[],[f4863,f323]) ).
tff(f5041,plain,
( spl8_315
| spl8_35
| spl8_32
| ~ spl8_154
| ~ spl8_205 ),
inference(avatar_split_clause,[],[f4988,f3018,f1987,f677,f712,f5038]) ).
tff(f5038,plain,
( spl8_315
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_315])]) ).
tff(f1987,plain,
( spl8_154
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_154])]) ).
tff(f4988,plain,
( $less(sK1(sK3),0)
| ( 0 = sK1(sK3) )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),2)
| ~ spl8_154
| ~ spl8_205 ),
inference(resolution,[],[f4412,f3025]) ).
tff(f4412,plain,
( ! [X0: $int] :
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),X0)
| ( 0 = X0 )
| $less(X0,0) )
| ~ spl8_154 ),
inference(resolution,[],[f1989,f702]) ).
tff(f1989,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0)
| ~ spl8_154 ),
inference(avatar_component_clause,[],[f1987]) ).
tff(f5036,plain,
( spl8_314
| ~ spl8_154 ),
inference(avatar_split_clause,[],[f4979,f1987,f5033]) ).
tff(f5033,plain,
( spl8_314
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),10) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_314])]) ).
tff(f4979,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),10)
| ~ spl8_154 ),
inference(interpreted_simplification,[],[f4978]) ).
tff(f4978,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),10)
| ( 0 = 10 )
| $less(10,0)
| ~ spl8_154 ),
inference(instantiation,[],[f4412]) ).
tff(f4977,plain,
( spl8_312
| spl8_313
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f4969,f1660,f4975,f4971]) ).
tff(f4975,plain,
( spl8_313
<=> ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK7,$uminus($sum(sK2,1))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_313])]) ).
tff(f4969,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| ~ $less($sum(sK7,$uminus($sum(sK2,1))),X2)
| $less($sum(sK7,$uminus($sum(sK2,1))),0)
| $less(sK0(X2,sK3),X2) )
| ~ spl8_120 ),
inference(trivial_inequality_removal,[],[f4958]) ).
tff(f4958,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK7,$uminus($sum(sK2,1))),X2)
| $less($sum(sK7,$uminus($sum(sK2,1))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_120 ),
inference(superposition,[],[f959,f1662]) ).
tff(f4934,plain,
( ~ spl8_311
| ~ spl8_154 ),
inference(avatar_split_clause,[],[f4918,f1987,f4931]) ).
tff(f4931,plain,
( spl8_311
<=> $less(10,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_311])]) ).
tff(f4918,plain,
( ~ $less(10,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_154 ),
inference(interpreted_simplification,[],[f4917]) ).
tff(f4917,plain,
( ~ $less(10,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| $less(10,0)
| ~ spl8_154 ),
inference(instantiation,[],[f4415]) ).
tff(f4415,plain,
( ! [X1: $int] :
( ~ $less(X1,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| $less(X1,0) )
| ~ spl8_154 ),
inference(resolution,[],[f1989,f59]) ).
tff(f4916,plain,
( ~ spl8_310
| ~ spl8_37
| spl8_309 ),
inference(avatar_split_clause,[],[f4909,f4904,f721,f4913]) ).
tff(f4913,plain,
( spl8_310
<=> $less(10,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_310])]) ).
tff(f4904,plain,
( spl8_309
<=> $less(10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_309])]) ).
tff(f4909,plain,
( ~ $less(10,sK2)
| ~ spl8_37
| spl8_309 ),
inference(resolution,[],[f4906,f1149]) ).
tff(f4906,plain,
( ~ $less(10,sK7)
| spl8_309 ),
inference(avatar_component_clause,[],[f4904]) ).
tff(f4907,plain,
( ~ spl8_309
| ~ spl8_306 ),
inference(avatar_split_clause,[],[f4888,f4866,f4904]) ).
tff(f4888,plain,
( ~ $less(10,sK7)
| ~ spl8_306 ),
inference(interpreted_simplification,[],[f4887]) ).
tff(f4887,plain,
( ~ $less(10,sK7)
| $less(10,10)
| ~ spl8_306 ),
inference(instantiation,[],[f4873]) ).
tff(f4882,plain,
( spl8_226
| spl8_307
| spl8_308
| ~ spl8_37
| ~ spl8_306 ),
inference(avatar_split_clause,[],[f4872,f4866,f721,f4879,f4875,f3310]) ).
tff(f4875,plain,
( spl8_307
<=> ( sK2 = 10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_307])]) ).
tff(f4879,plain,
( spl8_308
<=> $less(sK2,10) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_308])]) ).
tff(f4872,plain,
( $less(sK2,10)
| ( sK2 = 10 )
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_306 ),
inference(resolution,[],[f4868,f1221]) ).
tff(f4869,plain,
( spl8_306
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f4864,f3260,f4866]) ).
tff(f4864,plain,
( $less(sK7,10)
| ~ spl8_222 ),
inference(evaluation,[],[f4861]) ).
tff(f4861,plain,
( $less(sK7,$sum(10,0))
| ~ spl8_222 ),
inference(superposition,[],[f4732,f323]) ).
tff(f4830,plain,
( ~ spl8_305
| ~ spl8_289 ),
inference(avatar_split_clause,[],[f4815,f4529,f4827]) ).
tff(f4815,plain,
( ~ $less(sK1(sK3),-6)
| ~ spl8_289 ),
inference(resolution,[],[f4564,f58]) ).
tff(f4825,plain,
( spl8_304
| ~ spl8_289 ),
inference(avatar_split_clause,[],[f4813,f4529,f4822]) ).
tff(f4813,plain,
( $less(-7,sK1(sK3))
| ~ spl8_289 ),
inference(interpreted_simplification,[],[f4812]) ).
tff(f4812,plain,
( $less(-7,sK1(sK3))
| ~ $less(-7,-6)
| ~ spl8_289 ),
inference(instantiation,[],[f4564]) ).
tff(f4789,plain,
( ~ spl8_303
| ~ spl8_37
| spl8_302 ),
inference(avatar_split_clause,[],[f4782,f4772,f721,f4786]) ).
tff(f4786,plain,
( spl8_303
<=> $less(9,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_303])]) ).
tff(f4772,plain,
( spl8_302
<=> $less(9,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_302])]) ).
tff(f4782,plain,
( ~ $less(9,sK2)
| ~ spl8_37
| spl8_302 ),
inference(resolution,[],[f4774,f1149]) ).
tff(f4774,plain,
( ~ $less(9,sK7)
| spl8_302 ),
inference(avatar_component_clause,[],[f4772]) ).
tff(f4775,plain,
( ~ spl8_302
| ~ spl8_299 ),
inference(avatar_split_clause,[],[f4756,f4734,f4772]) ).
tff(f4756,plain,
( ~ $less(9,sK7)
| ~ spl8_299 ),
inference(interpreted_simplification,[],[f4755]) ).
tff(f4755,plain,
( ~ $less(9,sK7)
| $less(9,9)
| ~ spl8_299 ),
inference(instantiation,[],[f4741]) ).
tff(f4750,plain,
( spl8_300
| spl8_226
| spl8_301
| ~ spl8_37
| ~ spl8_299 ),
inference(avatar_split_clause,[],[f4740,f4734,f721,f4747,f3310,f4743]) ).
tff(f4743,plain,
( spl8_300
<=> $less(sK2,9) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_300])]) ).
tff(f4747,plain,
( spl8_301
<=> ( 9 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_301])]) ).
tff(f4740,plain,
( ( 9 = sK2 )
| $less(sK7,sK7)
| $less(sK2,9)
| ~ spl8_37
| ~ spl8_299 ),
inference(resolution,[],[f4736,f1221]) ).
tff(f4737,plain,
( spl8_299
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f4731,f3260,f4734]) ).
tff(f4731,plain,
( $less(sK7,9)
| ~ spl8_222 ),
inference(evaluation,[],[f4729]) ).
tff(f4729,plain,
( $less(sK7,$sum(9,0))
| ~ spl8_222 ),
inference(superposition,[],[f4609,f323]) ).
tff(f4716,plain,
( spl8_297
| spl8_298
| spl8_293
| ~ spl8_37
| ~ spl8_295 ),
inference(avatar_split_clause,[],[f4704,f4674,f721,f4662,f4712,f4708]) ).
tff(f4708,plain,
( spl8_297
<=> $less(sK2,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_297])]) ).
tff(f4712,plain,
( spl8_298
<=> ( $sum(sK7,$uminus($sum(sK2,1))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_298])]) ).
tff(f4662,plain,
( spl8_293
<=> $less(8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_293])]) ).
tff(f4674,plain,
( spl8_295
<=> $less(8,$sum(sK7,$uminus($sum(sK2,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_295])]) ).
tff(f4704,plain,
( $less(8,sK7)
| ( $sum(sK7,$uminus($sum(sK2,1))) = sK2 )
| $less(sK2,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_37
| ~ spl8_295 ),
inference(resolution,[],[f4675,f1221]) ).
tff(f4675,plain,
( $less(8,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_295 ),
inference(avatar_component_clause,[],[f4674]) ).
tff(f4715,plain,
( spl8_297
| spl8_298
| ~ spl8_43
| ~ spl8_295 ),
inference(avatar_split_clause,[],[f4706,f4674,f793,f4712,f4708]) ).
tff(f4706,plain,
( ( $sum(sK7,$uminus($sum(sK2,1))) = sK2 )
| $less(sK2,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_43
| ~ spl8_295 ),
inference(evaluation,[],[f4703]) ).
tff(f4703,plain,
( ( $sum(sK7,$uminus($sum(sK2,1))) = sK2 )
| $less(8,0)
| $less(sK2,$sum(sK7,$uminus($sum(sK2,1))))
| ~ spl8_43
| ~ spl8_295 ),
inference(resolution,[],[f4675,f905]) ).
tff(f905,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| $less(X1,0)
| $less(sK2,X0)
| ( sK2 = X0 ) )
| ~ spl8_43 ),
inference(resolution,[],[f857,f59]) ).
tff(f4686,plain,
( ~ spl8_296
| ~ spl8_37
| spl8_293 ),
inference(avatar_split_clause,[],[f4679,f4662,f721,f4683]) ).
tff(f4683,plain,
( spl8_296
<=> $less(8,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_296])]) ).
tff(f4679,plain,
( ~ $less(8,sK2)
| ~ spl8_37
| spl8_293 ),
inference(resolution,[],[f4664,f1149]) ).
tff(f4664,plain,
( ~ $less(8,sK7)
| spl8_293 ),
inference(avatar_component_clause,[],[f4662]) ).
tff(f4677,plain,
( ~ spl8_294
| ~ spl8_295
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f4668,f393,f4674,f4670]) ).
tff(f4670,plain,
( spl8_294
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,8,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_294])]) ).
tff(f4668,plain,
( ~ $less(8,$sum(sK7,$uminus($sum(sK2,1))))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,8,t2tb1(sK3))) )
| ~ spl8_12 ),
inference(interpreted_simplification,[],[f4667]) ).
tff(f4667,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,8,t2tb1(sK3))) )
| ~ $less(8,$sum(sK7,$uminus($sum(sK2,1))))
| $less(8,0)
| ~ spl8_12 ),
inference(instantiation,[],[f4200]) ).
tff(f4665,plain,
( ~ spl8_293
| ~ spl8_290 ),
inference(avatar_split_clause,[],[f4646,f4611,f4662]) ).
tff(f4646,plain,
( ~ $less(8,sK7)
| ~ spl8_290 ),
inference(interpreted_simplification,[],[f4645]) ).
tff(f4645,plain,
( ~ $less(8,sK7)
| $less(8,8)
| ~ spl8_290 ),
inference(instantiation,[],[f4618]) ).
tff(f4627,plain,
( spl8_226
| spl8_291
| spl8_292
| ~ spl8_37
| ~ spl8_290 ),
inference(avatar_split_clause,[],[f4617,f4611,f721,f4624,f4620,f3310]) ).
tff(f4620,plain,
( spl8_291
<=> ( 8 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_291])]) ).
tff(f4624,plain,
( spl8_292
<=> $less(sK2,8) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_292])]) ).
tff(f4617,plain,
( $less(sK2,8)
| ( 8 = sK2 )
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_290 ),
inference(resolution,[],[f4613,f1221]) ).
tff(f4614,plain,
( spl8_290
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f4608,f3260,f4611]) ).
tff(f4608,plain,
( $less(sK7,8)
| ~ spl8_222 ),
inference(evaluation,[],[f4606]) ).
tff(f4606,plain,
( $less(sK7,$sum(8,0))
| ~ spl8_222 ),
inference(superposition,[],[f4429,f323]) ).
tff(f4532,plain,
( spl8_289
| ~ spl8_281 ),
inference(avatar_split_clause,[],[f4515,f4365,f4529]) ).
tff(f4515,plain,
( $less(-6,sK1(sK3))
| ~ spl8_281 ),
inference(interpreted_simplification,[],[f4514]) ).
tff(f4514,plain,
( $less(-6,sK1(sK3))
| ~ $less(-6,-5)
| ~ spl8_281 ),
inference(instantiation,[],[f4378]) ).
tff(f4527,plain,
( ~ spl8_288
| ~ spl8_281 ),
inference(avatar_split_clause,[],[f4517,f4365,f4524]) ).
tff(f4517,plain,
( ~ $less(sK1(sK3),-5)
| ~ spl8_281 ),
inference(resolution,[],[f4378,f58]) ).
tff(f4484,plain,
( ~ spl8_287
| ~ spl8_37
| spl8_286 ),
inference(avatar_split_clause,[],[f4477,f4472,f721,f4481]) ).
tff(f4481,plain,
( spl8_287
<=> $less(7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_287])]) ).
tff(f4472,plain,
( spl8_286
<=> $less(7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_286])]) ).
tff(f4477,plain,
( ~ $less(7,sK2)
| ~ spl8_37
| spl8_286 ),
inference(resolution,[],[f4474,f1149]) ).
tff(f4474,plain,
( ~ $less(7,sK7)
| spl8_286 ),
inference(avatar_component_clause,[],[f4472]) ).
tff(f4475,plain,
( ~ spl8_286
| ~ spl8_283 ),
inference(avatar_split_clause,[],[f4456,f4432,f4472]) ).
tff(f4456,plain,
( ~ $less(7,sK7)
| ~ spl8_283 ),
inference(interpreted_simplification,[],[f4455]) ).
tff(f4455,plain,
( ~ $less(7,sK7)
| $less(7,7)
| ~ spl8_283 ),
inference(instantiation,[],[f4439]) ).
tff(f4448,plain,
( spl8_284
| spl8_226
| spl8_285
| ~ spl8_37
| ~ spl8_283 ),
inference(avatar_split_clause,[],[f4438,f4432,f721,f4445,f3310,f4441]) ).
tff(f4441,plain,
( spl8_284
<=> ( 7 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_284])]) ).
tff(f4445,plain,
( spl8_285
<=> $less(sK2,7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_285])]) ).
tff(f4438,plain,
( $less(sK2,7)
| $less(sK7,sK7)
| ( 7 = sK2 )
| ~ spl8_37
| ~ spl8_283 ),
inference(resolution,[],[f4434,f1221]) ).
tff(f4435,plain,
( spl8_283
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f4430,f3260,f4432]) ).
tff(f4430,plain,
( $less(sK7,7)
| ~ spl8_222 ),
inference(evaluation,[],[f4427]) ).
tff(f4427,plain,
( $less(sK7,$sum(7,0))
| ~ spl8_222 ),
inference(superposition,[],[f4271,f323]) ).
tff(f4373,plain,
( ~ spl8_282
| ~ spl8_263 ),
inference(avatar_split_clause,[],[f4358,f3972,f4370]) ).
tff(f4358,plain,
( ~ $less(sK1(sK3),-4)
| ~ spl8_263 ),
inference(resolution,[],[f3997,f58]) ).
tff(f4368,plain,
( spl8_281
| ~ spl8_263 ),
inference(avatar_split_clause,[],[f4356,f3972,f4365]) ).
tff(f4356,plain,
( $less(-5,sK1(sK3))
| ~ spl8_263 ),
inference(interpreted_simplification,[],[f4355]) ).
tff(f4355,plain,
( $less(-5,sK1(sK3))
| ~ $less(-5,-4)
| ~ spl8_263 ),
inference(instantiation,[],[f3997]) ).
tff(f4339,plain,
( ~ spl8_280
| ~ spl8_37
| spl8_279 ),
inference(avatar_split_clause,[],[f4332,f4323,f721,f4336]) ).
tff(f4336,plain,
( spl8_280
<=> $less(6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_280])]) ).
tff(f4323,plain,
( spl8_279
<=> $less(6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_279])]) ).
tff(f4332,plain,
( ~ $less(6,sK2)
| ~ spl8_37
| spl8_279 ),
inference(resolution,[],[f4325,f1149]) ).
tff(f4325,plain,
( ~ $less(6,sK7)
| spl8_279 ),
inference(avatar_component_clause,[],[f4323]) ).
tff(f4326,plain,
( ~ spl8_279
| ~ spl8_276 ),
inference(avatar_split_clause,[],[f4307,f4273,f4323]) ).
tff(f4307,plain,
( ~ $less(6,sK7)
| ~ spl8_276 ),
inference(interpreted_simplification,[],[f4306]) ).
tff(f4306,plain,
( ~ $less(6,sK7)
| $less(6,6)
| ~ spl8_276 ),
inference(instantiation,[],[f4280]) ).
tff(f4289,plain,
( spl8_226
| spl8_277
| spl8_278
| ~ spl8_37
| ~ spl8_276 ),
inference(avatar_split_clause,[],[f4279,f4273,f721,f4286,f4282,f3310]) ).
tff(f4282,plain,
( spl8_277
<=> ( 6 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_277])]) ).
tff(f4286,plain,
( spl8_278
<=> $less(sK2,6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_278])]) ).
tff(f4279,plain,
( $less(sK2,6)
| ( 6 = sK2 )
| $less(sK7,sK7)
| ~ spl8_37
| ~ spl8_276 ),
inference(resolution,[],[f4275,f1221]) ).
tff(f4276,plain,
( spl8_276
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f4270,f3260,f4273]) ).
tff(f4270,plain,
( $less(sK7,6)
| ~ spl8_222 ),
inference(evaluation,[],[f4268]) ).
tff(f4268,plain,
( $less(sK7,$sum(6,0))
| ~ spl8_222 ),
inference(superposition,[],[f3635,f323]) ).
tff(f4237,plain,
( spl8_189
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f2422,f1171,f2424]) ).
tff(f2424,plain,
( spl8_189
<=> ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_189])]) ).
tff(f1171,plain,
( spl8_80
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).
tff(f2422,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3))) )
| ~ spl8_80 ),
inference(forward_demodulation,[],[f2416,f192]) ).
tff(f2416,plain,
( ( nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3))) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_80 ),
inference(superposition,[],[f192,f1173]) ).
tff(f1173,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_80 ),
inference(avatar_component_clause,[],[f1171]) ).
tff(f4236,plain,
( ~ spl8_232
| ~ spl8_61 ),
inference(avatar_split_clause,[],[f4235,f1031,f3403]) ).
tff(f3403,plain,
( spl8_232
<=> $less(0,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_232])]) ).
tff(f1031,plain,
( spl8_61
<=> no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).
tff(f4235,plain,
( ~ $less(0,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_61 ),
inference(trivial_inequality_removal,[],[f4234]) ).
tff(f4234,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(0,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f4233,f322]) ).
tff(f4233,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ $less(0,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f4232,f314]) ).
tff(f4232,plain,
( ~ $less(0,$sum(1,length1(int,t2tb1(sK3))))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ~ spl8_61 ),
inference(forward_demodulation,[],[f4231,f309]) ).
tff(f4231,plain,
( ~ $less(0,length1(int,cons(int,t2tb2(0),t2tb1(sK3))))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ~ spl8_61 ),
inference(forward_demodulation,[],[f4226,f314]) ).
tff(f4226,plain,
( ~ $less(0,length1(int,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ~ spl8_61 ),
inference(resolution,[],[f1032,f962]) ).
tff(f962,plain,
! [X0: list_int] :
( ~ no_zero1(X0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) )
| ~ $less(0,length1(int,t2tb1(X0))) ),
inference(interpreted_simplification,[],[f961]) ).
tff(f961,plain,
! [X0: list_int] :
( ~ no_zero1(X0)
| ~ $less(0,length1(int,t2tb1(X0)))
| $less(0,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) ) ),
inference(instantiation,[],[f196]) ).
tff(f1032,plain,
( no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))
| ~ spl8_61 ),
inference(avatar_component_clause,[],[f1031]) ).
tff(f4190,plain,
( spl8_187
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f2409,f1132,f2411]) ).
tff(f1132,plain,
( spl8_76
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).
tff(f2409,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_76 ),
inference(forward_demodulation,[],[f2403,f192]) ).
tff(f2403,plain,
( ( nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_76 ),
inference(superposition,[],[f192,f1134]) ).
tff(f1134,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_76 ),
inference(avatar_component_clause,[],[f1132]) ).
tff(f4189,plain,
( spl8_264
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f3985,f1239,f3987]) ).
tff(f1239,plain,
( spl8_88
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).
tff(f3985,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3984,f192]) ).
tff(f3984,plain,
( ( nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3))) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_88 ),
inference(superposition,[],[f192,f1240]) ).
tff(f1240,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_88 ),
inference(avatar_component_clause,[],[f1239]) ).
tff(f4185,plain,
( ~ spl8_29
| spl8_9 ),
inference(avatar_split_clause,[],[f647,f379,f649]) ).
tff(f379,plain,
( spl8_9
<=> ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
tff(f647,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) != sK2 )
| spl8_9 ),
inference(forward_demodulation,[],[f381,f309]) ).
tff(f381,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| spl8_9 ),
inference(avatar_component_clause,[],[f379]) ).
tff(f4184,plain,
( spl8_28
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f655,f406,f639]) ).
tff(f406,plain,
( spl8_15
<=> $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
tff(f655,plain,
( $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f407,f309]) ).
tff(f407,plain,
( $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f406]) ).
tff(f4183,plain,
( spl8_27
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f653,f347,f632]) ).
tff(f347,plain,
( spl8_1
<=> $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
tff(f653,plain,
( $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_1 ),
inference(forward_demodulation,[],[f348,f309]) ).
tff(f348,plain,
( $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f4182,plain,
( spl8_232
| ~ spl8_77
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f3387,f1286,f1139,f3403]) ).
tff(f3387,plain,
( $less(0,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_77
| ~ spl8_95 ),
inference(resolution,[],[f1581,f1288]) ).
tff(f1288,plain,
( $less(0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_95 ),
inference(avatar_component_clause,[],[f1286]) ).
tff(f1581,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(X0,$sum(1,length1(int,t2tb1(sK3)))) )
| ~ spl8_77 ),
inference(resolution,[],[f1141,f59]) ).
tff(f4181,plain,
( spl8_27
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f3748,f347,f632]) ).
tff(f3748,plain,
( $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_1 ),
inference(forward_demodulation,[],[f348,f309]) ).
tff(f4180,plain,
( spl8_265
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f4002,f1250,f4004]) ).
tff(f1250,plain,
( spl8_90
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
tff(f4002,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_90 ),
inference(forward_demodulation,[],[f4001,f192]) ).
tff(f4001,plain,
( ( nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3))) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_90 ),
inference(superposition,[],[f192,f1252]) ).
tff(f1252,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_90 ),
inference(avatar_component_clause,[],[f1250]) ).
tff(f4179,plain,
( spl8_275
| spl8_184 ),
inference(avatar_split_clause,[],[f4172,f2394,f4176]) ).
tff(f4176,plain,
( spl8_275
<=> ( 0 = length1(int,t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_275])]) ).
tff(f2394,plain,
( spl8_184
<=> $less(0,length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_184])]) ).
tff(f4172,plain,
( ( 0 = length1(int,t2tb1(sK3)) )
| spl8_184 ),
inference(resolution,[],[f2396,f698]) ).
tff(f698,plain,
! [X4: ty,X5: uni] :
( $less(0,length1(X4,X5))
| ( 0 = length1(X4,X5) ) ),
inference(resolution,[],[f60,f175]) ).
tff(f175,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X0: ty,X12: uni] : ~ $less(length1(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length1(X0,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative) ).
tff(f2396,plain,
( ~ $less(0,length1(int,t2tb1(sK3)))
| spl8_184 ),
inference(avatar_component_clause,[],[f2394]) ).
tff(f4168,plain,
( ~ spl8_274
| spl8_57
| ~ spl8_217 ),
inference(avatar_split_clause,[],[f4157,f3154,f993,f4165]) ).
tff(f4165,plain,
( spl8_274
<=> ( 0 = $sum(1,length1(int,t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_274])]) ).
tff(f3154,plain,
( spl8_217
<=> ( 0 = $sum(1,length1(int,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_217])]) ).
tff(f4157,plain,
( ( 0 != $sum(1,length1(int,t2tb1(sK6))) )
| spl8_57
| ~ spl8_217 ),
inference(backward_demodulation,[],[f994,f3155]) ).
tff(f3155,plain,
( ( 0 = $sum(1,length1(int,t2tb1(sK3))) )
| ~ spl8_217 ),
inference(avatar_component_clause,[],[f3154]) ).
tff(f4145,plain,
( ~ spl8_273
| ~ spl8_166
| spl8_249 ),
inference(avatar_split_clause,[],[f4140,f3709,f2080,f4142]) ).
tff(f4142,plain,
( spl8_273
<=> $less($sum(sK1(tb2t1(nil(int))),-1),length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_273])]) ).
tff(f2080,plain,
( spl8_166
<=> ( nil(int) = cons(int,t2tb2(sK4),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_166])]) ).
tff(f3709,plain,
( spl8_249
<=> $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_249])]) ).
tff(f4140,plain,
( ~ $less($sum(sK1(tb2t1(nil(int))),-1),length1(int,t2tb1(sK3)))
| ~ spl8_166
| spl8_249 ),
inference(forward_demodulation,[],[f3711,f2082]) ).
tff(f2082,plain,
( ( nil(int) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_166 ),
inference(avatar_component_clause,[],[f2080]) ).
tff(f3711,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| spl8_249 ),
inference(avatar_component_clause,[],[f3709]) ).
tff(f4137,plain,
( ~ spl8_27
| spl8_1 ),
inference(avatar_split_clause,[],[f630,f347,f632]) ).
tff(f630,plain,
( ~ $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_1 ),
inference(forward_demodulation,[],[f349,f309]) ).
tff(f349,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_1 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f4136,plain,
( ~ spl8_27
| spl8_1 ),
inference(avatar_split_clause,[],[f4135,f347,f632]) ).
tff(f4135,plain,
( ~ $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_1 ),
inference(forward_demodulation,[],[f349,f309]) ).
tff(f4130,plain,
( ~ spl8_151
| ~ spl8_2
| spl8_112 ),
inference(avatar_split_clause,[],[f1962,f1466,f351,f1972]) ).
tff(f1972,plain,
( spl8_151
<=> $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_151])]) ).
tff(f351,plain,
( spl8_2
<=> ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
tff(f1466,plain,
( spl8_112
<=> $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_112])]) ).
tff(f1962,plain,
( ~ $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_2
| spl8_112 ),
inference(backward_demodulation,[],[f1467,f353]) ).
tff(f353,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f351]) ).
tff(f1467,plain,
( ~ $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_112 ),
inference(avatar_component_clause,[],[f1466]) ).
tff(f4129,plain,
( spl8_267
| ~ spl8_89
| ~ spl8_166 ),
inference(avatar_split_clause,[],[f4128,f2080,f1243,f4064]) ).
tff(f4064,plain,
( spl8_267
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_267])]) ).
tff(f4128,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),4)
| ~ spl8_89
| ~ spl8_166 ),
inference(forward_demodulation,[],[f3581,f2082]) ).
tff(f3581,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),4)
| ~ spl8_89 ),
inference(interpreted_simplification,[],[f3580]) ).
tff(f3580,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),4)
| ( 0 = 4 )
| $less(4,0)
| ~ spl8_89 ),
inference(instantiation,[],[f2512]) ).
tff(f2512,plain,
( ! [X24: $int] :
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),X24)
| ( 0 = X24 )
| $less(X24,0) )
| ~ spl8_89 ),
inference(resolution,[],[f702,f1244]) ).
tff(f1244,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_89 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f4123,plain,
( ~ spl8_230
| ~ spl8_166
| spl8_254 ),
inference(avatar_split_clause,[],[f4122,f3734,f2080,f3372]) ).
tff(f3372,plain,
( spl8_230
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_230])]) ).
tff(f3734,plain,
( spl8_254
<=> ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_254])]) ).
tff(f4122,plain,
( ( some(int,t2tb2(0)) != nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3)) )
| ~ spl8_166
| spl8_254 ),
inference(forward_demodulation,[],[f3735,f2082]) ).
tff(f3735,plain,
( ( some(int,t2tb2(0)) != nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| spl8_254 ),
inference(avatar_component_clause,[],[f3734]) ).
tff(f4120,plain,
( ~ spl8_28
| spl8_15 ),
inference(avatar_split_clause,[],[f637,f406,f639]) ).
tff(f637,plain,
( ~ $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_15 ),
inference(forward_demodulation,[],[f408,f309]) ).
tff(f408,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_15 ),
inference(avatar_component_clause,[],[f406]) ).
tff(f4119,plain,
( ~ spl8_180
| ~ spl8_166
| spl8_186 ),
inference(avatar_split_clause,[],[f4118,f2405,f2080,f2330]) ).
tff(f2330,plain,
( spl8_180
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_180])]) ).
tff(f2405,plain,
( spl8_186
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_186])]) ).
tff(f4118,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3))) )
| ~ spl8_166
| spl8_186 ),
inference(forward_demodulation,[],[f2406,f2082]) ).
tff(f2406,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| spl8_186 ),
inference(avatar_component_clause,[],[f2405]) ).
tff(f4117,plain,
( ~ spl8_27
| spl8_1 ),
inference(avatar_split_clause,[],[f2086,f347,f632]) ).
tff(f2086,plain,
( ~ $less(sK7,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_1 ),
inference(forward_demodulation,[],[f349,f309]) ).
tff(f4116,plain,
( spl8_29
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f4115,f379,f649]) ).
tff(f4115,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK2 )
| ~ spl8_9 ),
inference(forward_demodulation,[],[f380,f309]) ).
tff(f380,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK2 )
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f379]) ).
tff(f4114,plain,
( ~ spl8_270
| ~ spl8_89
| ~ spl8_166 ),
inference(avatar_split_clause,[],[f4113,f2080,f1243,f4080]) ).
tff(f4080,plain,
( spl8_270
<=> $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_270])]) ).
tff(f4113,plain,
( ~ $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_89
| ~ spl8_166 ),
inference(forward_demodulation,[],[f3323,f2082]) ).
tff(f3323,plain,
( ~ $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_89 ),
inference(interpreted_simplification,[],[f3322]) ).
tff(f3322,plain,
( ~ $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(2,0)
| ~ spl8_89 ),
inference(instantiation,[],[f2296]) ).
tff(f2296,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(X0,0) )
| ~ spl8_89 ),
inference(resolution,[],[f1244,f59]) ).
tff(f4110,plain,
( ~ spl8_28
| spl8_15 ),
inference(avatar_split_clause,[],[f4109,f406,f639]) ).
tff(f4109,plain,
( ~ $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| spl8_15 ),
inference(forward_demodulation,[],[f408,f309]) ).
tff(f4098,plain,
( spl8_255
| spl8_18 ),
inference(avatar_split_clause,[],[f3754,f420,f3739]) ).
tff(f3739,plain,
( spl8_255
<=> $less(sK1(sK3),length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_255])]) ).
tff(f420,plain,
( spl8_18
<=> no_zero1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
tff(f3754,plain,
( $less(sK1(sK3),length1(int,t2tb1(sK3)))
| spl8_18 ),
inference(resolution,[],[f421,f199]) ).
tff(f199,plain,
! [X0: list_int] :
( no_zero1(X0)
| $less(sK1(X0),length1(int,t2tb1(X0))) ),
inference(cnf_transformation,[],[f146]) ).
tff(f421,plain,
( ~ no_zero1(sK3)
| spl8_18 ),
inference(avatar_component_clause,[],[f420]) ).
tff(f4097,plain,
( ~ spl8_151
| spl8_112
| ~ spl8_166 ),
inference(avatar_split_clause,[],[f4096,f2080,f1466,f1972]) ).
tff(f4096,plain,
( ~ $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| spl8_112
| ~ spl8_166 ),
inference(forward_demodulation,[],[f1467,f2082]) ).
tff(f4093,plain,
( ~ spl8_272
| ~ spl8_166
| spl8_253 ),
inference(avatar_split_clause,[],[f4055,f3728,f2080,f4090]) ).
tff(f4090,plain,
( spl8_272
<=> $less(sK0($sum(sK1(tb2t1(nil(int))),-1),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_272])]) ).
tff(f3728,plain,
( spl8_253
<=> $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_253])]) ).
tff(f4055,plain,
( ~ $less(sK0($sum(sK1(tb2t1(nil(int))),-1),sK3),0)
| ~ spl8_166
| spl8_253 ),
inference(backward_demodulation,[],[f3730,f2082]) ).
tff(f3730,plain,
( ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0)
| spl8_253 ),
inference(avatar_component_clause,[],[f3728]) ).
tff(f4088,plain,
( ~ spl8_271
| ~ spl8_166
| spl8_247 ),
inference(avatar_split_clause,[],[f4053,f3701,f2080,f4085]) ).
tff(f3701,plain,
( spl8_247
<=> $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_247])]) ).
tff(f4053,plain,
( ~ $less($sum(sK1(tb2t1(nil(int))),-1),0)
| ~ spl8_166
| spl8_247 ),
inference(backward_demodulation,[],[f3702,f2082]) ).
tff(f3702,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| spl8_247 ),
inference(avatar_component_clause,[],[f3701]) ).
tff(f4083,plain,
( ~ spl8_270
| ~ spl8_166
| spl8_228 ),
inference(avatar_split_clause,[],[f4048,f3339,f2080,f4080]) ).
tff(f3339,plain,
( spl8_228
<=> $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_228])]) ).
tff(f4048,plain,
( ~ $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_166
| spl8_228 ),
inference(backward_demodulation,[],[f3341,f2082]) ).
tff(f3341,plain,
( ~ $less(2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_228 ),
inference(avatar_component_clause,[],[f3339]) ).
tff(f4077,plain,
( ~ spl8_269
| ~ spl8_166
| spl8_252 ),
inference(avatar_split_clause,[],[f4054,f3723,f2080,f4074]) ).
tff(f4074,plain,
( spl8_269
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(nil(int))),-1),sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_269])]) ).
tff(f3723,plain,
( spl8_252
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_252])]) ).
tff(f4054,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK1(tb2t1(nil(int))),-1),sK3),t2tb1(sK3))) )
| ~ spl8_166
| spl8_252 ),
inference(backward_demodulation,[],[f3724,f2082]) ).
tff(f3724,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| spl8_252 ),
inference(avatar_component_clause,[],[f3723]) ).
tff(f4072,plain,
( ~ spl8_268
| ~ spl8_166
| spl8_234 ),
inference(avatar_split_clause,[],[f4049,f3413,f2080,f4069]) ).
tff(f4069,plain,
( spl8_268
<=> ( sK1(sK3) = sK1(tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_268])]) ).
tff(f3413,plain,
( spl8_234
<=> ( sK1(sK3) = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_234])]) ).
tff(f4049,plain,
( ( sK1(sK3) != sK1(tb2t1(nil(int))) )
| ~ spl8_166
| spl8_234 ),
inference(backward_demodulation,[],[f3414,f2082]) ).
tff(f3414,plain,
( ( sK1(sK3) != sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_234 ),
inference(avatar_component_clause,[],[f3413]) ).
tff(f4067,plain,
( spl8_267
| ~ spl8_166
| ~ spl8_242 ),
inference(avatar_split_clause,[],[f4052,f3624,f2080,f4064]) ).
tff(f3624,plain,
( spl8_242
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_242])]) ).
tff(f4052,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),4)
| ~ spl8_166
| ~ spl8_242 ),
inference(backward_demodulation,[],[f3626,f2082]) ).
tff(f3626,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),4)
| ~ spl8_242 ),
inference(avatar_component_clause,[],[f3624]) ).
tff(f4062,plain,
( spl8_266
| ~ spl8_166
| ~ spl8_241 ),
inference(avatar_split_clause,[],[f4051,f3619,f2080,f4059]) ).
tff(f4059,plain,
( spl8_266
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_266])]) ).
tff(f3619,plain,
( spl8_241
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_241])]) ).
tff(f4051,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_166
| ~ spl8_241 ),
inference(backward_demodulation,[],[f3621,f2082]) ).
tff(f3621,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_241 ),
inference(avatar_component_clause,[],[f3619]) ).
tff(f4008,plain,
( spl8_192
| spl8_113
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f4000,f1250,f1470,f2478]) ).
tff(f4000,plain,
( ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ~ spl8_90 ),
inference(superposition,[],[f1252,f337]) ).
tff(f4007,plain,
( spl8_265
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f4002,f1250,f4004]) ).
tff(f3990,plain,
( spl8_264
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f3985,f1239,f3987]) ).
tff(f3975,plain,
( spl8_263
| ~ spl8_260 ),
inference(avatar_split_clause,[],[f3958,f3902,f3972]) ).
tff(f3958,plain,
( $less(-4,sK1(sK3))
| ~ spl8_260 ),
inference(interpreted_simplification,[],[f3957]) ).
tff(f3957,plain,
( $less(-4,sK1(sK3))
| ~ $less(-4,-3)
| ~ spl8_260 ),
inference(instantiation,[],[f3915]) ).
tff(f3970,plain,
( ~ spl8_262
| ~ spl8_260 ),
inference(avatar_split_clause,[],[f3960,f3902,f3967]) ).
tff(f3960,plain,
( ~ $less(sK1(sK3),-3)
| ~ spl8_260 ),
inference(resolution,[],[f3915,f58]) ).
tff(f3910,plain,
( ~ spl8_261
| ~ spl8_258 ),
inference(avatar_split_clause,[],[f3895,f3837,f3907]) ).
tff(f3895,plain,
( ~ $less(sK1(sK3),-2)
| ~ spl8_258 ),
inference(resolution,[],[f3850,f58]) ).
tff(f3905,plain,
( spl8_260
| ~ spl8_258 ),
inference(avatar_split_clause,[],[f3893,f3837,f3902]) ).
tff(f3893,plain,
( $less(-3,sK1(sK3))
| ~ spl8_258 ),
inference(interpreted_simplification,[],[f3892]) ).
tff(f3892,plain,
( $less(-3,sK1(sK3))
| ~ $less(-3,-2)
| ~ spl8_258 ),
inference(instantiation,[],[f3850]) ).
tff(f3845,plain,
( ~ spl8_259
| ~ spl8_257 ),
inference(avatar_split_clause,[],[f3830,f3809,f3842]) ).
tff(f3809,plain,
( spl8_257
<=> $less(-1,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_257])]) ).
tff(f3830,plain,
( ~ $less(sK1(sK3),-1)
| ~ spl8_257 ),
inference(resolution,[],[f3821,f58]) ).
tff(f3821,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,-1) )
| ~ spl8_257 ),
inference(resolution,[],[f3811,f59]) ).
tff(f3811,plain,
( $less(-1,sK1(sK3))
| ~ spl8_257 ),
inference(avatar_component_clause,[],[f3809]) ).
tff(f3840,plain,
( spl8_258
| ~ spl8_257 ),
inference(avatar_split_clause,[],[f3828,f3809,f3837]) ).
tff(f3828,plain,
( $less(-2,sK1(sK3))
| ~ spl8_257 ),
inference(interpreted_simplification,[],[f3827]) ).
tff(f3827,plain,
( $less(-2,sK1(sK3))
| ~ $less(-2,-1)
| ~ spl8_257 ),
inference(instantiation,[],[f3821]) ).
tff(f3812,plain,
( spl8_257
| ~ spl8_34 ),
inference(avatar_split_clause,[],[f3800,f708,f3809]) ).
tff(f708,plain,
( spl8_34
<=> $less(0,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
tff(f3800,plain,
( $less(-1,sK1(sK3))
| ~ spl8_34 ),
inference(interpreted_simplification,[],[f3799]) ).
tff(f3799,plain,
( $less(-1,sK1(sK3))
| ~ $less(-1,0)
| ~ spl8_34 ),
inference(instantiation,[],[f3780]) ).
tff(f3780,plain,
( ! [X1: $int] :
( $less(X1,sK1(sK3))
| ~ $less(X1,0) )
| ~ spl8_34 ),
inference(resolution,[],[f710,f59]) ).
tff(f710,plain,
( $less(0,sK1(sK3))
| ~ spl8_34 ),
inference(avatar_component_clause,[],[f708]) ).
tff(f3766,plain,
( ~ spl8_256
| ~ spl8_37
| spl8_246 ),
inference(avatar_split_clause,[],[f3759,f3681,f721,f3763]) ).
tff(f3763,plain,
( spl8_256
<=> $less(5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_256])]) ).
tff(f3681,plain,
( spl8_246
<=> $less(5,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_246])]) ).
tff(f3759,plain,
( ~ $less(5,sK2)
| ~ spl8_37
| spl8_246 ),
inference(resolution,[],[f3683,f1149]) ).
tff(f3683,plain,
( ~ $less(5,sK7)
| spl8_246 ),
inference(avatar_component_clause,[],[f3681]) ).
tff(f3752,plain,
( spl8_28
| ~ spl8_27
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f1336,f721,f632,f639]) ).
tff(f1336,plain,
( $less(sK2,$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ~ spl8_27
| ~ spl8_37 ),
inference(resolution,[],[f691,f723]) ).
tff(f691,plain,
( ! [X1: $int] :
( ~ $less(X1,sK7)
| $less(X1,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) )
| ~ spl8_27 ),
inference(resolution,[],[f59,f633]) ).
tff(f3751,plain,
( spl8_27
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f653,f347,f632]) ).
tff(f3749,plain,
( spl8_27
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f3748,f347,f632]) ).
tff(f3747,plain,
( spl8_39
| ~ spl8_22
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f1356,f721,f439,f745]) ).
tff(f745,plain,
( spl8_39
<=> $less(sK2,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).
tff(f1356,plain,
( $less(sK2,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ spl8_22
| ~ spl8_37 ),
inference(resolution,[],[f692,f723]) ).
tff(f692,plain,
( ! [X2: $int] :
( ~ $less(X2,sK7)
| $less(X2,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) )
| ~ spl8_22 ),
inference(resolution,[],[f59,f441]) ).
tff(f3746,plain,
( spl8_90
| ~ spl8_88
| spl8_7 ),
inference(avatar_split_clause,[],[f3745,f371,f1239,f1250]) ).
tff(f3745,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f2149,f314]) ).
tff(f2149,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_7 ),
inference(forward_demodulation,[],[f2146,f314]) ).
tff(f2146,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_7 ),
inference(resolution,[],[f373,f169]) ).
tff(f3744,plain,
( ~ spl8_26
| spl8_11 ),
inference(avatar_split_clause,[],[f624,f388,f626]) ).
tff(f388,plain,
( spl8_11
<=> ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
tff(f624,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) != sK7 )
| spl8_11 ),
inference(forward_demodulation,[],[f390,f309]) ).
tff(f390,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| spl8_11 ),
inference(avatar_component_clause,[],[f388]) ).
tff(f3743,plain,
( ~ spl8_88
| ~ spl8_89
| spl8_7 ),
inference(avatar_split_clause,[],[f2150,f371,f1243,f1239]) ).
tff(f2150,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f2148,f314]) ).
tff(f2148,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_7 ),
inference(resolution,[],[f373,f170]) ).
tff(f3742,plain,
( spl8_247
| spl8_255
| ~ spl8_249
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3693,f2405,f3709,f3739,f3701]) ).
tff(f3693,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| $less(sK1(sK3),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3690]) ).
tff(f3690,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK1(sK3),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ spl8_186 ),
inference(superposition,[],[f964,f2407]) ).
tff(f2407,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ~ spl8_186 ),
inference(avatar_component_clause,[],[f2405]) ).
tff(f964,plain,
! [X2: $int,X3: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X3))) )
| $less(X2,0)
| ~ $less(X2,length1(int,t2tb1(X3)))
| $less(sK1(X3),length1(int,t2tb1(X3))) ),
inference(resolution,[],[f196,f199]) ).
tff(f3737,plain,
( spl8_254
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3732,f2405,f3734]) ).
tff(f3732,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_186 ),
inference(forward_demodulation,[],[f3692,f192]) ).
tff(f3692,plain,
( ( t2tb(tb2t(some(int,t2tb2(0)))) = nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3)) )
| ~ spl8_186 ),
inference(superposition,[],[f192,f2407]) ).
tff(f3731,plain,
( ~ spl8_253
| spl8_251
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3694,f2405,f3720,f3728]) ).
tff(f3720,plain,
( spl8_251
<=> ! [X0: $int] :
( $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_251])]) ).
tff(f3694,plain,
( ! [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) )
| $less(X1,0)
| ~ $less(X1,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0) )
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3687]) ).
tff(f3687,plain,
( ! [X1: $int] :
( $less(X1,0)
| ~ $less(sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(X1,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK3))) ) )
| ~ spl8_186 ),
inference(superposition,[],[f960,f2407]) ).
tff(f3726,plain,
( spl8_251
| spl8_252
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3695,f2405,f3723,f3720]) ).
tff(f3695,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) )
| $less(X0,0)
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) ) )
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3686]) ).
tff(f3686,plain,
( ! [X0: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK3))) )
| ~ $less(X0,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1))
| $less(X0,0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),sK3),t2tb1(sK3))) ) )
| ~ spl8_186 ),
inference(superposition,[],[f977,f2407]) ).
tff(f3718,plain,
( spl8_250
| spl8_247
| ~ spl8_249
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3696,f2405,f3709,f3701,f3715]) ).
tff(f3715,plain,
( spl8_250
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(sK3),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_250])]) ).
tff(f3696,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(sK3),t2tb1(sK3))) )
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3689]) ).
tff(f3689,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(sK3),t2tb1(sK3))) )
| ~ spl8_186 ),
inference(superposition,[],[f963,f2407]) ).
tff(f963,plain,
! [X0: $int,X1: list_int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X1))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(X1),t2tb1(X1))) )
| $less(X0,0)
| ~ $less(X0,length1(int,t2tb1(X1))) ),
inference(resolution,[],[f196,f197]) ).
tff(f197,plain,
! [X0: list_int] :
( no_zero1(X0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(X0),t2tb1(X0))) ) ),
inference(cnf_transformation,[],[f146]) ).
tff(f3713,plain,
( ~ spl8_249
| ~ spl8_32
| spl8_247
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3697,f2405,f3701,f677,f3709]) ).
tff(f3697,plain,
( $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ $less(sK1(sK3),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3691]) ).
tff(f3691,plain,
( ~ $less(sK1(sK3),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ spl8_186 ),
inference(superposition,[],[f965,f2407]) ).
tff(f3712,plain,
( spl8_247
| ~ spl8_249
| ~ spl8_18
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3698,f2405,f420,f3709,f3701]) ).
tff(f3698,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ spl8_18
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3685]) ).
tff(f3685,plain,
( ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),length1(int,t2tb1(sK3)))
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ spl8_18
| ~ spl8_186 ),
inference(superposition,[],[f968,f2407]) ).
tff(f968,plain,
( ! [X8: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X8,t2tb1(sK3))) )
| $less(X8,0)
| ~ $less(X8,length1(int,t2tb1(sK3))) )
| ~ spl8_18 ),
inference(resolution,[],[f196,f422]) ).
tff(f422,plain,
( no_zero1(sK3)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f420]) ).
tff(f3707,plain,
( spl8_247
| spl8_248
| ~ spl8_186 ),
inference(avatar_split_clause,[],[f3699,f2405,f3705,f3701]) ).
tff(f3705,plain,
( spl8_248
<=> ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_248])]) ).
tff(f3699,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2)
| $less(sK0(X2,sK3),X2) )
| ~ spl8_186 ),
inference(trivial_inequality_removal,[],[f3688]) ).
tff(f3688,plain,
( ! [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK3))) )
| $less(sK0(X2,sK3),X2)
| $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),0)
| ~ $less($sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),X2)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) ) )
| ~ spl8_186 ),
inference(superposition,[],[f959,f2407]) ).
tff(f3684,plain,
( ~ spl8_246
| ~ spl8_243 ),
inference(avatar_split_clause,[],[f3660,f3638,f3681]) ).
tff(f3660,plain,
( ~ $less(5,sK7)
| ~ spl8_243 ),
inference(interpreted_simplification,[],[f3659]) ).
tff(f3659,plain,
( ~ $less(5,sK7)
| $less(5,5)
| ~ spl8_243 ),
inference(instantiation,[],[f3645]) ).
tff(f3654,plain,
( spl8_244
| spl8_245
| spl8_226
| ~ spl8_37
| ~ spl8_243 ),
inference(avatar_split_clause,[],[f3644,f3638,f721,f3310,f3651,f3647]) ).
tff(f3647,plain,
( spl8_244
<=> $less(sK2,5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_244])]) ).
tff(f3651,plain,
( spl8_245
<=> ( sK2 = 5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_245])]) ).
tff(f3644,plain,
( $less(sK7,sK7)
| ( sK2 = 5 )
| $less(sK2,5)
| ~ spl8_37
| ~ spl8_243 ),
inference(resolution,[],[f3640,f1221]) ).
tff(f3641,plain,
( spl8_243
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f3636,f3260,f3638]) ).
tff(f3636,plain,
( $less(sK7,5)
| ~ spl8_222 ),
inference(evaluation,[],[f3633]) ).
tff(f3633,plain,
( $less(sK7,$sum(5,0))
| ~ spl8_222 ),
inference(superposition,[],[f3471,f323]) ).
tff(f3628,plain,
( spl8_241
| spl8_96
| spl8_63
| ~ spl8_79
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3594,f1243,f1165,f1041,f1301,f3619]) ).
tff(f1041,plain,
( spl8_63
<=> $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).
tff(f3594,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_79
| ~ spl8_89 ),
inference(resolution,[],[f2512,f1643]) ).
tff(f1643,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| $less(X0,$sum(1,length1(int,t2tb1(sK3)))) )
| ~ spl8_79 ),
inference(resolution,[],[f1167,f59]) ).
tff(f3627,plain,
( spl8_242
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3581,f1243,f3624]) ).
tff(f3622,plain,
( spl8_31
| spl8_94
| spl8_241
| ~ spl8_77
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3593,f1243,f1139,f3619,f1282,f672]) ).
tff(f3593,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_77
| ~ spl8_89 ),
inference(resolution,[],[f2512,f1581]) ).
tff(f3536,plain,
( ~ spl8_240
| ~ spl8_37
| spl8_239 ),
inference(avatar_split_clause,[],[f3529,f3523,f721,f3533]) ).
tff(f3533,plain,
( spl8_240
<=> $less(4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_240])]) ).
tff(f3523,plain,
( spl8_239
<=> $less(4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_239])]) ).
tff(f3529,plain,
( ~ $less(4,sK2)
| ~ spl8_37
| spl8_239 ),
inference(resolution,[],[f3525,f1149]) ).
tff(f3525,plain,
( ~ $less(4,sK7)
| spl8_239 ),
inference(avatar_component_clause,[],[f3523]) ).
tff(f3526,plain,
( ~ spl8_239
| ~ spl8_236 ),
inference(avatar_split_clause,[],[f3503,f3474,f3523]) ).
tff(f3503,plain,
( ~ $less(4,sK7)
| ~ spl8_236 ),
inference(interpreted_simplification,[],[f3502]) ).
tff(f3502,plain,
( ~ $less(4,sK7)
| $less(4,4)
| ~ spl8_236 ),
inference(instantiation,[],[f3481]) ).
tff(f3490,plain,
( spl8_237
| spl8_238
| spl8_226
| ~ spl8_37
| ~ spl8_236 ),
inference(avatar_split_clause,[],[f3480,f3474,f721,f3310,f3487,f3483]) ).
tff(f3483,plain,
( spl8_237
<=> $less(sK2,4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_237])]) ).
tff(f3487,plain,
( spl8_238
<=> ( 4 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_238])]) ).
tff(f3480,plain,
( $less(sK7,sK7)
| ( 4 = sK2 )
| $less(sK2,4)
| ~ spl8_37
| ~ spl8_236 ),
inference(resolution,[],[f3476,f1221]) ).
tff(f3477,plain,
( spl8_236
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f3472,f3260,f3474]) ).
tff(f3472,plain,
( $less(sK7,4)
| ~ spl8_222 ),
inference(evaluation,[],[f3469]) ).
tff(f3469,plain,
( $less(sK7,$sum(4,0))
| ~ spl8_222 ),
inference(superposition,[],[f3294,f323]) ).
tff(f3438,plain,
( spl8_235
| ~ spl8_79
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f3419,f1396,f1165,f3435]) ).
tff(f3435,plain,
( spl8_235
<=> $less(sK7,$sum(1,length1(int,t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_235])]) ).
tff(f1396,plain,
( spl8_104
<=> $less(sK7,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_104])]) ).
tff(f3419,plain,
( $less(sK7,$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_79
| ~ spl8_104 ),
inference(resolution,[],[f1643,f1398]) ).
tff(f1398,plain,
( $less(sK7,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ~ spl8_104 ),
inference(avatar_component_clause,[],[f1396]) ).
tff(f3416,plain,
( spl8_31
| spl8_233
| spl8_234
| ~ spl8_32
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f3389,f1139,f677,f3413,f3408,f672]) ).
tff(f3389,plain,
( ( sK1(sK3) = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK1(sK3),$sum(1,length1(int,t2tb1(sK3))))
| $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_32
| ~ spl8_77 ),
inference(resolution,[],[f1581,f766]) ).
tff(f766,plain,
( ! [X1: $int] :
( $less(sK1(sK3),X1)
| ( sK1(sK3) = X1 )
| $less(X1,0) )
| ~ spl8_32 ),
inference(resolution,[],[f760,f60]) ).
tff(f760,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1(sK3))
| $less(X0,0) )
| ~ spl8_32 ),
inference(resolution,[],[f678,f59]) ).
tff(f678,plain,
( $less(sK1(sK3),0)
| ~ spl8_32 ),
inference(avatar_component_clause,[],[f677]) ).
tff(f3411,plain,
( spl8_233
| spl8_94
| spl8_31
| ~ spl8_32
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f3388,f1139,f677,f672,f1282,f3408]) ).
tff(f3388,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK1(sK3),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_32
| ~ spl8_77 ),
inference(resolution,[],[f1581,f2513]) ).
tff(f2513,plain,
( ! [X25: $int] :
( $less(sK1(sK3),X25)
| ( 0 = X25 )
| $less(X25,0) )
| ~ spl8_32 ),
inference(resolution,[],[f702,f678]) ).
tff(f3406,plain,
( spl8_232
| ~ spl8_77
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f3387,f1286,f1139,f3403]) ).
tff(f3386,plain,
( ~ spl8_231
| ~ spl8_37
| spl8_229 ),
inference(avatar_split_clause,[],[f3379,f3364,f721,f3383]) ).
tff(f3383,plain,
( spl8_231
<=> $less(3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_231])]) ).
tff(f3364,plain,
( spl8_229
<=> $less(3,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_229])]) ).
tff(f3379,plain,
( ~ $less(3,sK2)
| ~ spl8_37
| spl8_229 ),
inference(resolution,[],[f3366,f1149]) ).
tff(f3366,plain,
( ~ $less(3,sK7)
| spl8_229 ),
inference(avatar_component_clause,[],[f3364]) ).
tff(f3376,plain,
( spl8_83
| spl8_230
| ~ spl8_179 ),
inference(avatar_split_clause,[],[f3368,f2325,f3372,f1190]) ).
tff(f3368,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3)) )
| ( 0 = sK1(tb2t1(nil(int))) )
| ~ spl8_179 ),
inference(superposition,[],[f2327,f337]) ).
tff(f2327,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_179 ),
inference(avatar_component_clause,[],[f2325]) ).
tff(f3375,plain,
( spl8_83
| spl8_230
| ~ spl8_179 ),
inference(avatar_split_clause,[],[f3369,f2325,f3372,f1190]) ).
tff(f3369,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3)) )
| ( 0 = sK1(tb2t1(nil(int))) )
| ~ spl8_179 ),
inference(superposition,[],[f337,f2327]) ).
tff(f3367,plain,
( ~ spl8_229
| ~ spl8_224 ),
inference(avatar_split_clause,[],[f3344,f3297,f3364]) ).
tff(f3344,plain,
( ~ $less(3,sK7)
| ~ spl8_224 ),
inference(interpreted_simplification,[],[f3343]) ).
tff(f3343,plain,
( ~ $less(3,sK7)
| $less(3,3)
| ~ spl8_224 ),
inference(instantiation,[],[f3304]) ).
tff(f3342,plain,
( ~ spl8_228
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3323,f1243,f3339]) ).
tff(f3317,plain,
( spl8_225
| spl8_226
| spl8_227
| ~ spl8_37
| ~ spl8_224 ),
inference(avatar_split_clause,[],[f3303,f3297,f721,f3314,f3310,f3306]) ).
tff(f3306,plain,
( spl8_225
<=> ( 3 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_225])]) ).
tff(f3314,plain,
( spl8_227
<=> $less(sK2,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_227])]) ).
tff(f3303,plain,
( $less(sK2,3)
| $less(sK7,sK7)
| ( 3 = sK2 )
| ~ spl8_37
| ~ spl8_224 ),
inference(resolution,[],[f3299,f1221]) ).
tff(f3300,plain,
( spl8_224
| ~ spl8_222 ),
inference(avatar_split_clause,[],[f3295,f3260,f3297]) ).
tff(f3295,plain,
( $less(sK7,3)
| ~ spl8_222 ),
inference(evaluation,[],[f3292]) ).
tff(f3292,plain,
( $less(sK7,$sum(3,0))
| ~ spl8_222 ),
inference(superposition,[],[f3269,f323]) ).
tff(f3287,plain,
( spl8_223
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f3282,f999,f3284]) ).
tff(f999,plain,
( spl8_58
<=> ( some(int,t2tb2(sK5)) = some(int,t2tb2(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).
tff(f3282,plain,
( ( t2tb2(sK4) = t2tb2(sK5) )
| ~ spl8_58 ),
inference(forward_demodulation,[],[f3279,f2445]) ).
tff(f3279,plain,
( ( some_proj_11(int,some(int,t2tb2(sK4))) = t2tb2(sK5) )
| ~ spl8_58 ),
inference(superposition,[],[f2445,f1001]) ).
tff(f1001,plain,
( ( some(int,t2tb2(sK5)) = some(int,t2tb2(sK4)) )
| ~ spl8_58 ),
inference(avatar_component_clause,[],[f999]) ).
tff(f3262,plain,
( spl8_202
| spl8_222
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f3258,f1351,f3260,f2969]) ).
tff(f3258,plain,
( ! [X6: ty,X7: uni] :
( $less(sK7,$sum(2,length1(X6,X7)))
| ( 0 = sK7 ) )
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f3251,f3249]) ).
tff(f3249,plain,
( ! [X2: ty,X3: uni] :
( ( 0 = $sum(2,length1(X2,X3)) )
| $less(sK7,$sum(2,length1(X2,X3))) )
| ~ spl8_102 ),
inference(resolution,[],[f1656,f2515]) ).
tff(f1656,plain,
! [X3: uni,X1: ty] : ~ $less($sum(2,length1(X1,X3)),0),
inference(evaluation,[],[f1655]) ).
tff(f1655,plain,
! [X3: uni,X1: ty] : ~ $less($sum(1,$sum(1,length1(X1,X3))),0),
inference(superposition,[],[f828,f309]) ).
tff(f828,plain,
! [X3: ty,X5: uni] : ~ $less($sum(1,length1(X3,X5)),0),
inference(superposition,[],[f175,f309]) ).
tff(f3251,plain,
( ! [X6: ty,X7: uni] :
( ( sK7 = $sum(2,length1(X6,X7)) )
| $less(sK7,$sum(2,length1(X6,X7))) )
| ~ spl8_102 ),
inference(resolution,[],[f1656,f1368]) ).
tff(f3238,plain,
( spl8_221
| ~ spl8_151
| ~ spl8_159 ),
inference(avatar_split_clause,[],[f3209,f2012,f1972,f3235]) ).
tff(f3235,plain,
( spl8_221
<=> $less(0,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_221])]) ).
tff(f3209,plain,
( $less(0,$sum(sK7,$uminus(sK2)))
| ~ spl8_151
| ~ spl8_159 ),
inference(resolution,[],[f2293,f1973]) ).
tff(f1973,plain,
( $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_151 ),
inference(avatar_component_clause,[],[f1972]) ).
tff(f2293,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| $less(X0,$sum(sK7,$uminus(sK2))) )
| ~ spl8_159 ),
inference(resolution,[],[f2014,f59]) ).
tff(f3233,plain,
( spl8_219
| spl8_220
| spl8_154
| ~ spl8_32
| ~ spl8_159 ),
inference(avatar_split_clause,[],[f3211,f2012,f677,f1987,f3230,f3225]) ).
tff(f3225,plain,
( spl8_219
<=> $less(sK1(sK3),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_219])]) ).
tff(f3230,plain,
( spl8_220
<=> ( sK1(sK3) = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_220])]) ).
tff(f3211,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0)
| ( sK1(sK3) = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| $less(sK1(sK3),$sum(sK7,$uminus(sK2)))
| ~ spl8_32
| ~ spl8_159 ),
inference(resolution,[],[f2293,f766]) ).
tff(f3228,plain,
( spl8_153
| spl8_219
| spl8_154
| ~ spl8_32
| ~ spl8_159 ),
inference(avatar_split_clause,[],[f3210,f2012,f677,f1987,f3225,f1982]) ).
tff(f1982,plain,
( spl8_153
<=> ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_153])]) ).
tff(f3210,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0)
| $less(sK1(sK3),$sum(sK7,$uminus(sK2)))
| ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| ~ spl8_32
| ~ spl8_159 ),
inference(resolution,[],[f2293,f2513]) ).
tff(f3198,plain,
( ~ spl8_218
| ~ spl8_152 ),
inference(avatar_split_clause,[],[f3189,f1977,f3195]) ).
tff(f3195,plain,
( spl8_218
<=> $less($sum(1,length1(int,t2tb1(sK3))),sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_218])]) ).
tff(f3189,plain,
( ~ $less($sum(1,length1(int,t2tb1(sK3))),sK1(tb2t1(nil(int))))
| ~ spl8_152 ),
inference(resolution,[],[f2290,f58]) ).
tff(f2290,plain,
( ! [X0: $int] :
( $less(X0,$sum(1,length1(int,t2tb1(sK3))))
| ~ $less(X0,sK1(tb2t1(nil(int)))) )
| ~ spl8_152 ),
inference(resolution,[],[f1979,f59]) ).
tff(f1979,plain,
( $less(sK1(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_152 ),
inference(avatar_component_clause,[],[f1977]) ).
tff(f3157,plain,
( spl8_216
| ~ spl8_217
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f3148,f993,f3154,f3151]) ).
tff(f3151,plain,
( spl8_216
<=> ! [X0: uni] : ( nil(int) = cons(int,X0,t2tb1(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_216])]) ).
tff(f3148,plain,
( ! [X0: uni] :
( ( 0 != $sum(1,length1(int,t2tb1(sK3))) )
| ( nil(int) = cons(int,X0,t2tb1(sK6)) ) )
| ~ spl8_57 ),
inference(superposition,[],[f827,f995]) ).
tff(f995,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = $sum(1,length1(int,t2tb1(sK6))) )
| ~ spl8_57 ),
inference(avatar_component_clause,[],[f993]) ).
tff(f827,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( 0 != $sum(1,length1(X0,X2)) )
| ( nil(X0) = cons(X0,X1,X2) ) ),
inference(superposition,[],[f178,f309]) ).
tff(f178,plain,
! [X0: uni,X1: ty] :
( ( 0 != length1(X1,X0) )
| ( nil(X1) = X0 ) ),
inference(cnf_transformation,[],[f136]) ).
tff(f3142,plain,
( ~ spl8_215
| ~ spl8_168
| spl8_207 ),
inference(avatar_split_clause,[],[f3134,f3052,f2124,f3139]) ).
tff(f3139,plain,
( spl8_215
<=> $less(2,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_215])]) ).
tff(f3052,plain,
( spl8_207
<=> $less(2,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_207])]) ).
tff(f3134,plain,
( ~ $less(2,sK7)
| ~ spl8_168
| spl8_207 ),
inference(resolution,[],[f3054,f2137]) ).
tff(f3054,plain,
( ~ $less(2,sK1(sK3))
| spl8_207 ),
inference(avatar_component_clause,[],[f3052]) ).
tff(f3128,plain,
( spl8_210
| spl8_212
| ~ spl8_37
| spl8_51
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f3091,f1351,f921,f721,f3113,f3103]) ).
tff(f3103,plain,
( spl8_210
<=> ( sK7 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_210])]) ).
tff(f3113,plain,
( spl8_212
<=> $less(sK2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_212])]) ).
tff(f3091,plain,
( $less(sK2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| ( sK7 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| ~ spl8_37
| spl8_51
| ~ spl8_102 ),
inference(resolution,[],[f923,f2581]) ).
tff(f923,plain,
( ~ $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),0)
| spl8_51 ),
inference(avatar_component_clause,[],[f921]) ).
tff(f3127,plain,
( spl8_214
| spl8_211
| spl8_51 ),
inference(avatar_split_clause,[],[f3097,f921,f3108,f3122]) ).
tff(f3122,plain,
( spl8_214
<=> $less(0,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_214])]) ).
tff(f3108,plain,
( spl8_211
<=> ( 0 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_211])]) ).
tff(f3097,plain,
( ( 0 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| $less(0,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| spl8_51 ),
inference(resolution,[],[f923,f60]) ).
tff(f3126,plain,
( spl8_212
| spl8_211
| ~ spl8_43
| spl8_51 ),
inference(avatar_split_clause,[],[f3093,f921,f793,f3108,f3113]) ).
tff(f3093,plain,
( ( 0 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| $less(sK2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| ~ spl8_43
| spl8_51 ),
inference(resolution,[],[f923,f2514]) ).
tff(f3125,plain,
( spl8_214
| spl8_211
| spl8_51 ),
inference(avatar_split_clause,[],[f3096,f921,f3108,f3122]) ).
tff(f3096,plain,
( ( 0 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| $less(0,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| spl8_51 ),
inference(resolution,[],[f923,f60]) ).
tff(f3120,plain,
( spl8_212
| spl8_213
| ~ spl8_43
| spl8_51 ),
inference(avatar_split_clause,[],[f3095,f921,f793,f3117,f3113]) ).
tff(f3117,plain,
( spl8_213
<=> ( sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_213])]) ).
tff(f3095,plain,
( ( sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) = sK2 )
| $less(sK2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| ~ spl8_43
| spl8_51 ),
inference(resolution,[],[f923,f857]) ).
tff(f3111,plain,
( spl8_211
| spl8_209
| spl8_51
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f3092,f1351,f921,f3099,f3108]) ).
tff(f3099,plain,
( spl8_209
<=> $less(sK7,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_209])]) ).
tff(f3092,plain,
( $less(sK7,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| ( 0 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| spl8_51
| ~ spl8_102 ),
inference(resolution,[],[f923,f2515]) ).
tff(f3106,plain,
( spl8_209
| spl8_210
| spl8_51
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f3094,f1351,f921,f3103,f3099]) ).
tff(f3094,plain,
( ( sK7 = sK0($sum(sK2,$uminus($sum(sK2,1))),sK3) )
| $less(sK7,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| spl8_51
| ~ spl8_102 ),
inference(resolution,[],[f923,f1368]) ).
tff(f3090,plain,
( ~ spl8_208
| ~ spl8_51 ),
inference(avatar_split_clause,[],[f3071,f921,f3087]) ).
tff(f3087,plain,
( spl8_208
<=> $less(2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_208])]) ).
tff(f3071,plain,
( ~ $less(2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| ~ spl8_51 ),
inference(interpreted_simplification,[],[f3070]) ).
tff(f3070,plain,
( ~ $less(2,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| $less(2,0)
| ~ spl8_51 ),
inference(instantiation,[],[f983]) ).
tff(f983,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0($sum(sK2,$uminus($sum(sK2,1))),sK3))
| $less(X0,0) )
| ~ spl8_51 ),
inference(resolution,[],[f922,f59]) ).
tff(f3055,plain,
( ~ spl8_207
| ~ spl8_205 ),
inference(avatar_split_clause,[],[f3027,f3018,f3052]) ).
tff(f3027,plain,
( ~ $less(2,sK1(sK3))
| ~ spl8_205 ),
inference(interpreted_simplification,[],[f3026]) ).
tff(f3026,plain,
( ~ $less(2,sK1(sK3))
| $less(2,2)
| ~ spl8_205 ),
inference(instantiation,[],[f3025]) ).
tff(f3050,plain,
( spl8_206
| ~ spl8_168
| ~ spl8_205 ),
inference(avatar_split_clause,[],[f3031,f3018,f2124,f3047]) ).
tff(f3047,plain,
( spl8_206
<=> $less(sK7,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_206])]) ).
tff(f3031,plain,
( $less(sK7,2)
| ~ spl8_168
| ~ spl8_205 ),
inference(resolution,[],[f3025,f2126]) ).
tff(f3021,plain,
( spl8_205
| ~ spl8_32 ),
inference(avatar_split_clause,[],[f2988,f677,f3018]) ).
tff(f2988,plain,
( $less(sK1(sK3),2)
| ~ spl8_32 ),
inference(interpreted_simplification,[],[f2987]) ).
tff(f2987,plain,
( $less(sK1(sK3),2)
| ( 0 = 2 )
| $less(2,0)
| ~ spl8_32 ),
inference(instantiation,[],[f2513]) ).
tff(f2980,plain,
( spl8_202
| spl8_204
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f2976,f1351,f793,f721,f2978,f2969]) ).
tff(f2978,plain,
( spl8_204
<=> ! [X9: uni,X8: ty] : $less(sK2,$sum(1,length1(X8,X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_204])]) ).
tff(f2976,plain,
( ! [X8: ty,X9: uni] :
( $less(sK2,$sum(1,length1(X8,X9)))
| ( 0 = sK7 ) )
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f2958,f2617]) ).
tff(f2617,plain,
( ! [X8: ty,X9: uni] :
( ( 0 = $sum(1,length1(X8,X9)) )
| $less(sK2,$sum(1,length1(X8,X9))) )
| ~ spl8_43 ),
inference(resolution,[],[f2514,f828]) ).
tff(f2958,plain,
( ! [X8: ty,X9: uni] :
( $less(sK2,$sum(1,length1(X8,X9)))
| ( $sum(1,length1(X8,X9)) = sK7 ) )
| ~ spl8_37
| ~ spl8_102 ),
inference(resolution,[],[f2581,f828]) ).
tff(f2975,plain,
( spl8_202
| spl8_203
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f2967,f1351,f793,f721,f2973,f2969]) ).
tff(f2973,plain,
( spl8_203
<=> ! [X6: ty,X7: uni] : $less(sK2,length1(X6,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_203])]) ).
tff(f2967,plain,
( ! [X6: ty,X7: uni] :
( $less(sK2,length1(X6,X7))
| ( 0 = sK7 ) )
| ~ spl8_37
| ~ spl8_43
| ~ spl8_102 ),
inference(forward_subsumption_demodulation,[],[f2957,f2616]) ).
tff(f2616,plain,
( ! [X6: ty,X7: uni] :
( ( 0 = length1(X6,X7) )
| $less(sK2,length1(X6,X7)) )
| ~ spl8_43 ),
inference(resolution,[],[f2514,f175]) ).
tff(f2957,plain,
( ! [X6: ty,X7: uni] :
( $less(sK2,length1(X6,X7))
| ( sK7 = length1(X6,X7) ) )
| ~ spl8_37
| ~ spl8_102 ),
inference(resolution,[],[f2581,f175]) ).
tff(f2864,plain,
( ~ spl8_201
| ~ spl8_37
| spl8_198 ),
inference(avatar_split_clause,[],[f2857,f2839,f721,f2861]) ).
tff(f2861,plain,
( spl8_201
<=> $less(-1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_201])]) ).
tff(f2839,plain,
( spl8_198
<=> $less(-1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_198])]) ).
tff(f2857,plain,
( ~ $less(-1,sK2)
| ~ spl8_37
| spl8_198 ),
inference(resolution,[],[f2840,f1149]) ).
tff(f2840,plain,
( ~ $less(-1,sK7)
| spl8_198 ),
inference(avatar_component_clause,[],[f2839]) ).
tff(f2851,plain,
( spl8_199
| spl8_200
| spl8_198
| ~ spl8_37
| ~ spl8_193 ),
inference(avatar_split_clause,[],[f2820,f2597,f721,f2839,f2848,f2843]) ).
tff(f2843,plain,
( spl8_199
<=> $less(sK2,length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_199])]) ).
tff(f2848,plain,
( spl8_200
<=> ( -1 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_200])]) ).
tff(f2597,plain,
( spl8_193
<=> $less(-1,length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_193])]) ).
tff(f2820,plain,
( $less(-1,sK7)
| ( -1 = sK7 )
| $less(sK2,length1(int,t2tb1(sK3)))
| ~ spl8_37
| ~ spl8_193 ),
inference(resolution,[],[f2604,f2551]) ).
tff(f2604,plain,
( ! [X1: $int] :
( ~ $less(X1,-1)
| $less(X1,length1(int,t2tb1(sK3))) )
| ~ spl8_193 ),
inference(resolution,[],[f2599,f59]) ).
tff(f2599,plain,
( $less(-1,length1(int,t2tb1(sK3)))
| ~ spl8_193 ),
inference(avatar_component_clause,[],[f2597]) ).
tff(f2846,plain,
( spl8_197
| spl8_198
| spl8_199
| ~ spl8_26
| ~ spl8_28
| ~ spl8_193 ),
inference(avatar_split_clause,[],[f2821,f2597,f639,f626,f2843,f2839,f2835]) ).
tff(f2835,plain,
( spl8_197
<=> ( -1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_197])]) ).
tff(f2821,plain,
( $less(sK2,length1(int,t2tb1(sK3)))
| $less(-1,sK7)
| ( -1 = sK2 )
| ~ spl8_26
| ~ spl8_28
| ~ spl8_193 ),
inference(resolution,[],[f2604,f2091]) ).
tff(f2091,plain,
( ! [X1: $int] :
( $less(sK2,X1)
| $less(X1,sK7)
| ( sK2 = X1 ) )
| ~ spl8_26
| ~ spl8_28 ),
inference(backward_demodulation,[],[f1416,f627]) ).
tff(f627,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK7 )
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f626]) ).
tff(f1416,plain,
( ! [X1: $int] :
( $less(sK2,X1)
| ( sK2 = X1 )
| $less(X1,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) )
| ~ spl8_28 ),
inference(resolution,[],[f693,f60]) ).
tff(f693,plain,
( ! [X3: $int] :
( ~ $less(X3,sK2)
| $less(X3,$sum(sK2,$sum(1,length1(int,t2tb1(sK3))))) )
| ~ spl8_28 ),
inference(resolution,[],[f59,f640]) ).
tff(f2833,plain,
( spl8_196
| ~ spl8_193 ),
inference(avatar_split_clause,[],[f2817,f2597,f2830]) ).
tff(f2830,plain,
( spl8_196
<=> $less(-2,length1(int,t2tb1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_196])]) ).
tff(f2817,plain,
( $less(-2,length1(int,t2tb1(sK3)))
| ~ spl8_193 ),
inference(interpreted_simplification,[],[f2816]) ).
tff(f2816,plain,
( ~ $less(-2,-1)
| $less(-2,length1(int,t2tb1(sK3)))
| ~ spl8_193 ),
inference(instantiation,[],[f2604]) ).
tff(f2739,plain,
( ~ spl8_195
| ~ spl8_194 ),
inference(avatar_split_clause,[],[f2719,f2690,f2736]) ).
tff(f2736,plain,
( spl8_195
<=> $less(1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_195])]) ).
tff(f2719,plain,
( ~ $less(1,sK7)
| ~ spl8_194 ),
inference(interpreted_simplification,[],[f2718]) ).
tff(f2718,plain,
( ~ $less(1,sK7)
| $less(1,1)
| ~ spl8_194 ),
inference(instantiation,[],[f2697]) ).
tff(f2693,plain,
( spl8_194
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f2649,f1351,f2690]) ).
tff(f2649,plain,
( $less(sK7,1)
| ~ spl8_102 ),
inference(interpreted_simplification,[],[f2648]) ).
tff(f2648,plain,
( $less(1,0)
| $less(sK7,1)
| ( 0 = 1 )
| ~ spl8_102 ),
inference(instantiation,[],[f2515]) ).
tff(f2600,plain,
( spl8_193
| ~ spl8_184 ),
inference(avatar_split_clause,[],[f2590,f2394,f2597]) ).
tff(f2590,plain,
( $less(-1,length1(int,t2tb1(sK3)))
| ~ spl8_184 ),
inference(interpreted_simplification,[],[f2589]) ).
tff(f2589,plain,
( $less(-1,length1(int,t2tb1(sK3)))
| ~ $less(-1,0)
| ~ spl8_184 ),
inference(instantiation,[],[f2460]) ).
tff(f2460,plain,
( ! [X0: $int] :
( $less(X0,length1(int,t2tb1(sK3)))
| ~ $less(X0,0) )
| ~ spl8_184 ),
inference(resolution,[],[f2395,f59]) ).
tff(f2395,plain,
( $less(0,length1(int,t2tb1(sK3)))
| ~ spl8_184 ),
inference(avatar_component_clause,[],[f2394]) ).
tff(f2481,plain,
( spl8_113
| ~ spl8_192
| spl8_90 ),
inference(avatar_split_clause,[],[f2476,f1250,f2478,f1470]) ).
tff(f2476,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_90 ),
inference(superposition,[],[f1251,f337]) ).
tff(f1251,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_90 ),
inference(avatar_component_clause,[],[f1250]) ).
tff(f2439,plain,
( ~ spl8_191
| spl8_136
| spl8_135 ),
inference(avatar_split_clause,[],[f2434,f1776,f1850,f2436]) ).
tff(f2436,plain,
( spl8_191
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_191])]) ).
tff(f1776,plain,
( spl8_135
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_135])]) ).
tff(f2434,plain,
( ( 0 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| spl8_135 ),
inference(superposition,[],[f1777,f337]) ).
tff(f1777,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_135 ),
inference(avatar_component_clause,[],[f1776]) ).
tff(f2433,plain,
( ~ spl8_190
| spl8_153
| spl8_165 ),
inference(avatar_split_clause,[],[f2428,f2046,f1982,f2430]) ).
tff(f2430,plain,
( spl8_190
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_190])]) ).
tff(f2428,plain,
( ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),-1),t2tb1(sK3))) )
| spl8_165 ),
inference(superposition,[],[f2048,f337]) ).
tff(f2427,plain,
( spl8_189
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f2422,f1171,f2424]) ).
tff(f2421,plain,
( spl8_188
| spl8_96
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f2415,f1171,f1301,f2418]) ).
tff(f2415,plain,
( ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ~ spl8_80 ),
inference(superposition,[],[f1173,f337]) ).
tff(f2414,plain,
( spl8_187
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f2409,f1132,f2411]) ).
tff(f2408,plain,
( spl8_94
| spl8_186
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f2402,f1132,f2405,f1282]) ).
tff(f2402,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),-1),t2tb1(sK3))) )
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_76 ),
inference(superposition,[],[f1134,f337]) ).
tff(f2401,plain,
( ~ spl8_184
| ~ spl8_185
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f2392,f420,f2398,f2394]) ).
tff(f2398,plain,
( spl8_185
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_185])]) ).
tff(f2392,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK3))) )
| ~ $less(0,length1(int,t2tb1(sK3)))
| ~ spl8_18 ),
inference(interpreted_simplification,[],[f2391]) ).
tff(f2391,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK3))) )
| $less(0,0)
| ~ $less(0,length1(int,t2tb1(sK3)))
| ~ spl8_18 ),
inference(instantiation,[],[f968]) ).
tff(f2390,plain,
( spl8_183
| ~ spl8_182 ),
inference(avatar_split_clause,[],[f2377,f2363,f2387]) ).
tff(f2387,plain,
( spl8_183
<=> $less(-6,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_183])]) ).
tff(f2377,plain,
( $less(-6,sK1(tb2t1(nil(int))))
| ~ spl8_182 ),
inference(interpreted_simplification,[],[f2376]) ).
tff(f2376,plain,
( ~ $less(-6,-5)
| $less(-6,sK1(tb2t1(nil(int))))
| ~ spl8_182 ),
inference(instantiation,[],[f2369]) ).
tff(f2366,plain,
( spl8_182
| ~ spl8_181 ),
inference(avatar_split_clause,[],[f2353,f2345,f2363]) ).
tff(f2353,plain,
( $less(-5,sK1(tb2t1(nil(int))))
| ~ spl8_181 ),
inference(interpreted_simplification,[],[f2352]) ).
tff(f2352,plain,
( ~ $less(-5,-4)
| $less(-5,sK1(tb2t1(nil(int))))
| ~ spl8_181 ),
inference(instantiation,[],[f2351]) ).
tff(f2348,plain,
( spl8_181
| ~ spl8_178 ),
inference(avatar_split_clause,[],[f2335,f2311,f2345]) ).
tff(f2335,plain,
( $less(-4,sK1(tb2t1(nil(int))))
| ~ spl8_178 ),
inference(interpreted_simplification,[],[f2334]) ).
tff(f2334,plain,
( ~ $less(-4,-3)
| $less(-4,sK1(tb2t1(nil(int))))
| ~ spl8_178 ),
inference(instantiation,[],[f2317]) ).
tff(f2333,plain,
( spl8_83
| spl8_180
| ~ spl8_164 ),
inference(avatar_split_clause,[],[f2321,f2041,f2330,f1190]) ).
tff(f2321,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK1(tb2t1(nil(int))),-1),t2tb1(sK3))) )
| ( 0 = sK1(tb2t1(nil(int))) )
| ~ spl8_164 ),
inference(superposition,[],[f2043,f337]) ).
tff(f2043,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_164 ),
inference(avatar_component_clause,[],[f2041]) ).
tff(f2328,plain,
( spl8_179
| ~ spl8_164 ),
inference(avatar_split_clause,[],[f2323,f2041,f2325]) ).
tff(f2323,plain,
( ( some(int,t2tb2(0)) = nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_164 ),
inference(forward_demodulation,[],[f2322,f192]) ).
tff(f2322,plain,
( ( nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3))) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_164 ),
inference(superposition,[],[f192,f2043]) ).
tff(f2314,plain,
( spl8_178
| ~ spl8_171 ),
inference(avatar_split_clause,[],[f2301,f2230,f2311]) ).
tff(f2301,plain,
( $less(-3,sK1(tb2t1(nil(int))))
| ~ spl8_171 ),
inference(interpreted_simplification,[],[f2300]) ).
tff(f2300,plain,
( ~ $less(-3,-2)
| $less(-3,sK1(tb2t1(nil(int))))
| ~ spl8_171 ),
inference(instantiation,[],[f2236]) ).
tff(f2276,plain,
( spl8_173
| spl8_172
| spl8_129 ),
inference(avatar_split_clause,[],[f2247,f1732,f2250,f2254]) ).
tff(f2250,plain,
( spl8_172
<=> $less(0,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_172])]) ).
tff(f2247,plain,
( $less(0,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_129 ),
inference(resolution,[],[f1733,f60]) ).
tff(f2275,plain,
( spl8_176
| spl8_177
| ~ spl8_102
| spl8_129 ),
inference(avatar_split_clause,[],[f2245,f1732,f1351,f2272,f2268]) ).
tff(f2268,plain,
( spl8_176
<=> ( sK7 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_176])]) ).
tff(f2272,plain,
( spl8_177
<=> $less(sK7,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_177])]) ).
tff(f2245,plain,
( $less(sK7,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK7 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_102
| spl8_129 ),
inference(resolution,[],[f1733,f1368]) ).
tff(f2266,plain,
( spl8_174
| spl8_175
| ~ spl8_43
| spl8_129 ),
inference(avatar_split_clause,[],[f2246,f1732,f793,f2263,f2259]) ).
tff(f2259,plain,
( spl8_174
<=> ( sK2 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_174])]) ).
tff(f2263,plain,
( spl8_175
<=> $less(sK2,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_175])]) ).
tff(f2246,plain,
( $less(sK2,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK2 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_43
| spl8_129 ),
inference(resolution,[],[f1733,f857]) ).
tff(f2257,plain,
( spl8_172
| spl8_173
| spl8_129 ),
inference(avatar_split_clause,[],[f2248,f1732,f2254,f2250]) ).
tff(f2248,plain,
( ( 0 = sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(0,sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_129 ),
inference(resolution,[],[f1733,f60]) ).
tff(f2233,plain,
( spl8_171
| ~ spl8_170 ),
inference(avatar_split_clause,[],[f2220,f2208,f2230]) ).
tff(f2220,plain,
( $less(-2,sK1(tb2t1(nil(int))))
| ~ spl8_170 ),
inference(interpreted_simplification,[],[f2219]) ).
tff(f2219,plain,
( ~ $less(-2,-1)
| $less(-2,sK1(tb2t1(nil(int))))
| ~ spl8_170 ),
inference(instantiation,[],[f2214]) ).
tff(f2211,plain,
( spl8_170
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f2202,f775,f2208]) ).
tff(f775,plain,
( spl8_42
<=> $less(0,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
tff(f2202,plain,
( $less(-1,sK1(tb2t1(nil(int))))
| ~ spl8_42 ),
inference(interpreted_simplification,[],[f2201]) ).
tff(f2201,plain,
( $less(-1,sK1(tb2t1(nil(int))))
| ~ $less(-1,0)
| ~ spl8_42 ),
inference(instantiation,[],[f2065]) ).
tff(f2065,plain,
( ! [X0: $int] :
( $less(X0,sK1(tb2t1(nil(int))))
| ~ $less(X0,0) )
| ~ spl8_42 ),
inference(resolution,[],[f776,f59]) ).
tff(f776,plain,
( $less(0,sK1(tb2t1(nil(int))))
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f775]) ).
tff(f2133,plain,
( spl8_100
| spl8_168
| spl8_167 ),
inference(avatar_split_clause,[],[f2122,f2096,f2124,f1343]) ).
tff(f2122,plain,
( $less(sK7,sK1(sK3))
| ( sK1(sK3) = sK7 )
| spl8_167 ),
inference(resolution,[],[f2098,f60]) ).
tff(f2132,plain,
( ~ spl8_169
| ~ spl8_37
| spl8_167 ),
inference(avatar_split_clause,[],[f2119,f2096,f721,f2129]) ).
tff(f2129,plain,
( spl8_169
<=> $less(sK1(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_169])]) ).
tff(f2119,plain,
( ~ $less(sK1(sK3),sK2)
| ~ spl8_37
| spl8_167 ),
inference(resolution,[],[f2098,f1149]) ).
tff(f2127,plain,
( spl8_168
| spl8_100
| spl8_167 ),
inference(avatar_split_clause,[],[f2121,f2096,f1343,f2124]) ).
tff(f2121,plain,
( ( sK1(sK3) = sK7 )
| $less(sK7,sK1(sK3))
| spl8_167 ),
inference(resolution,[],[f2098,f60]) ).
tff(f2099,plain,
( ~ spl8_167
| ~ spl8_26
| spl8_101 ),
inference(avatar_split_clause,[],[f2090,f1347,f626,f2096]) ).
tff(f2090,plain,
( ~ $less(sK1(sK3),sK7)
| ~ spl8_26
| spl8_101 ),
inference(backward_demodulation,[],[f1348,f627]) ).
tff(f2085,plain,
( spl8_26
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f2084,f388,f626]) ).
tff(f2084,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK7 )
| ~ spl8_11 ),
inference(forward_demodulation,[],[f389,f309]) ).
tff(f389,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK7 )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f388]) ).
tff(f2083,plain,
( spl8_166
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f2078,f351,f2080]) ).
tff(f2078,plain,
( ( nil(int) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_2 ),
inference(forward_demodulation,[],[f2077,f314]) ).
tff(f2077,plain,
( ( t2tb1(tb2t1(nil(int))) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_2 ),
inference(superposition,[],[f314,f353]) ).
tff(f2054,plain,
( ~ spl8_154
| ~ spl8_2
| spl8_89 ),
inference(avatar_split_clause,[],[f2053,f1243,f351,f1987]) ).
tff(f2053,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0)
| ~ spl8_2
| spl8_89 ),
inference(forward_demodulation,[],[f1245,f353]) ).
tff(f1245,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_89 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f2049,plain,
( ~ spl8_165
| ~ spl8_2
| spl8_90 ),
inference(avatar_split_clause,[],[f1949,f1250,f351,f2046]) ).
tff(f1949,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_2
| spl8_90 ),
inference(backward_demodulation,[],[f1251,f353]) ).
tff(f2044,plain,
( spl8_164
| ~ spl8_2
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f1946,f1132,f351,f2041]) ).
tff(f1946,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_2
| ~ spl8_76 ),
inference(backward_demodulation,[],[f1134,f353]) ).
tff(f2039,plain,
( spl8_82
| ~ spl8_2
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f1952,f1277,f351,f1185]) ).
tff(f1185,plain,
( spl8_82
<=> $less(sK2,sK1(tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).
tff(f1277,plain,
( spl8_93
<=> $less(sK2,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).
tff(f1952,plain,
( $less(sK2,sK1(tb2t1(nil(int))))
| ~ spl8_2
| ~ spl8_93 ),
inference(backward_demodulation,[],[f1279,f353]) ).
tff(f1279,plain,
( $less(sK2,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_93 ),
inference(avatar_component_clause,[],[f1277]) ).
tff(f2038,plain,
( spl8_163
| ~ spl8_2
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f1957,f1401,f351,f2035]) ).
tff(f1401,plain,
( spl8_105
<=> $less(sK7,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).
tff(f1957,plain,
( $less(sK7,sK1(tb2t1(nil(int))))
| ~ spl8_2
| ~ spl8_105 ),
inference(backward_demodulation,[],[f1403,f353]) ).
tff(f1403,plain,
( $less(sK7,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f1401]) ).
tff(f2033,plain,
( ~ spl8_162
| ~ spl8_2
| spl8_106 ),
inference(avatar_split_clause,[],[f1958,f1405,f351,f2030]) ).
tff(f2030,plain,
( spl8_162
<=> ( sK7 = sK1(tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_162])]) ).
tff(f1405,plain,
( spl8_106
<=> ( sK7 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).
tff(f1958,plain,
( ( sK7 != sK1(tb2t1(nil(int))) )
| ~ spl8_2
| spl8_106 ),
inference(backward_demodulation,[],[f1406,f353]) ).
tff(f1406,plain,
( ( sK7 != sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_106 ),
inference(avatar_component_clause,[],[f1405]) ).
tff(f2028,plain,
( ~ spl8_81
| ~ spl8_2
| spl8_92 ),
inference(avatar_split_clause,[],[f1951,f1273,f351,f1181]) ).
tff(f1181,plain,
( spl8_81
<=> ( sK2 = sK1(tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).
tff(f1273,plain,
( spl8_92
<=> ( sK2 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_92])]) ).
tff(f1951,plain,
( ( sK2 != sK1(tb2t1(nil(int))) )
| ~ spl8_2
| spl8_92 ),
inference(backward_demodulation,[],[f1274,f353]) ).
tff(f1274,plain,
( ( sK2 != sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_92 ),
inference(avatar_component_clause,[],[f1273]) ).
tff(f2027,plain,
( ~ spl8_30
| ~ spl8_2
| spl8_31 ),
inference(avatar_split_clause,[],[f1943,f672,f351,f667]) ).
tff(f1943,plain,
( ~ $less(sK1(tb2t1(nil(int))),0)
| ~ spl8_2
| spl8_31 ),
inference(backward_demodulation,[],[f674,f353]) ).
tff(f2026,plain,
( spl8_161
| ~ spl8_2
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f1969,f1683,f351,f2023]) ).
tff(f2023,plain,
( spl8_161
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_161])]) ).
tff(f1683,plain,
( spl8_122
<=> $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).
tff(f1969,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),sK7)
| ~ spl8_2
| ~ spl8_122 ),
inference(backward_demodulation,[],[f1685,f353]) ).
tff(f1685,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK7)
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f1683]) ).
tff(f2021,plain,
( ~ spl8_70
| ~ spl8_2
| spl8_74 ),
inference(avatar_split_clause,[],[f1944,f1113,f351,f1089]) ).
tff(f1089,plain,
( spl8_70
<=> ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).
tff(f1113,plain,
( spl8_74
<=> ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).
tff(f1944,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) )
| ~ spl8_2
| spl8_74 ),
inference(backward_demodulation,[],[f1114,f353]) ).
tff(f1114,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) )
| spl8_74 ),
inference(avatar_component_clause,[],[f1113]) ).
tff(f2020,plain,
( ~ spl8_160
| ~ spl8_2
| spl8_115 ),
inference(avatar_split_clause,[],[f1965,f1480,f351,f2017]) ).
tff(f2017,plain,
( spl8_160
<=> ( sK7 = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_160])]) ).
tff(f1480,plain,
( spl8_115
<=> ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).
tff(f1965,plain,
( ( sK7 != sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| ~ spl8_2
| spl8_115 ),
inference(backward_demodulation,[],[f1481,f353]) ).
tff(f1481,plain,
( ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| spl8_115 ),
inference(avatar_component_clause,[],[f1480]) ).
tff(f2015,plain,
( spl8_159
| ~ spl8_2
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1950,f1256,f351,f2012]) ).
tff(f1950,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),$sum(sK7,$uminus(sK2)))
| ~ spl8_2
| ~ spl8_91 ),
inference(backward_demodulation,[],[f1258,f353]) ).
tff(f2010,plain,
( ~ spl8_158
| ~ spl8_2
| spl8_111 ),
inference(avatar_split_clause,[],[f1961,f1461,f351,f2007]) ).
tff(f2007,plain,
( spl8_158
<=> $less(sK2,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_158])]) ).
tff(f1461,plain,
( spl8_111
<=> $less(sK2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).
tff(f1961,plain,
( ~ $less(sK2,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_2
| spl8_111 ),
inference(backward_demodulation,[],[f1462,f353]) ).
tff(f1462,plain,
( ~ $less(sK2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_111 ),
inference(avatar_component_clause,[],[f1461]) ).
tff(f2005,plain,
( ~ spl8_157
| ~ spl8_2
| spl8_114 ),
inference(avatar_split_clause,[],[f1964,f1476,f351,f2002]) ).
tff(f2002,plain,
( spl8_157
<=> $less(sK7,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_157])]) ).
tff(f1476,plain,
( spl8_114
<=> $less(sK7,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).
tff(f1964,plain,
( ~ $less(sK7,sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))))
| ~ spl8_2
| spl8_114 ),
inference(backward_demodulation,[],[f1477,f353]) ).
tff(f1477,plain,
( ~ $less(sK7,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_114 ),
inference(avatar_component_clause,[],[f1476]) ).
tff(f2000,plain,
( ~ spl8_156
| ~ spl8_2
| spl8_7 ),
inference(avatar_split_clause,[],[f1941,f371,f351,f1997]) ).
tff(f1997,plain,
( spl8_156
<=> zero_at1(tb2t1(nil(int)),$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_156])]) ).
tff(f1941,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK7,$uminus(sK2)))
| ~ spl8_2
| spl8_7 ),
inference(backward_demodulation,[],[f373,f353]) ).
tff(f1995,plain,
( ~ spl8_155
| ~ spl8_2
| spl8_110 ),
inference(avatar_split_clause,[],[f1960,f1457,f351,f1992]) ).
tff(f1992,plain,
( spl8_155
<=> ( sK2 = sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_155])]) ).
tff(f1457,plain,
( spl8_110
<=> ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_110])]) ).
tff(f1960,plain,
( ( sK2 != sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| ~ spl8_2
| spl8_110 ),
inference(backward_demodulation,[],[f1458,f353]) ).
tff(f1458,plain,
( ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| spl8_110 ),
inference(avatar_component_clause,[],[f1457]) ).
tff(f1990,plain,
( spl8_154
| ~ spl8_2
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f1948,f1243,f351,f1987]) ).
tff(f1948,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))),0)
| ~ spl8_2
| ~ spl8_89 ),
inference(backward_demodulation,[],[f1244,f353]) ).
tff(f1985,plain,
( ~ spl8_153
| ~ spl8_2
| spl8_113 ),
inference(avatar_split_clause,[],[f1963,f1470,f351,f1982]) ).
tff(f1963,plain,
( ( 0 != sK0($sum(sK7,$uminus(sK2)),tb2t1(nil(int))) )
| ~ spl8_2
| spl8_113 ),
inference(backward_demodulation,[],[f1471,f353]) ).
tff(f1471,plain,
( ( 0 != sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_113 ),
inference(avatar_component_clause,[],[f1470]) ).
tff(f1980,plain,
( spl8_152
| ~ spl8_2
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f1947,f1139,f351,f1977]) ).
tff(f1947,plain,
( $less(sK1(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK3))))
| ~ spl8_2
| ~ spl8_77 ),
inference(backward_demodulation,[],[f1141,f353]) ).
tff(f1975,plain,
( ~ spl8_151
| ~ spl8_2
| spl8_112 ),
inference(avatar_split_clause,[],[f1962,f1466,f351,f1972]) ).
tff(f1938,plain,
( ~ spl8_129
| spl8_53
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1937,f1700,f931,f1732]) ).
tff(f931,plain,
( spl8_53
<=> $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).
tff(f1937,plain,
( ~ $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_53
| ~ spl8_125 ),
inference(forward_demodulation,[],[f933,f1702]) ).
tff(f933,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_53 ),
inference(avatar_component_clause,[],[f931]) ).
tff(f1936,plain,
( ~ spl8_149
| spl8_150
| spl8_88 ),
inference(avatar_split_clause,[],[f1927,f1239,f1933,f1929]) ).
tff(f1933,plain,
( spl8_150
<=> ( 0 = $sum(sK7,$uminus(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_150])]) ).
tff(f1927,plain,
( ( 0 = $sum(sK7,$uminus(sK2)) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7,$uminus(sK2)),-1),t2tb1(sK3))) )
| spl8_88 ),
inference(superposition,[],[f1241,f337]) ).
tff(f1241,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_88 ),
inference(avatar_component_clause,[],[f1239]) ).
tff(f1926,plain,
( spl8_143
| spl8_144
| spl8_130 ),
inference(avatar_split_clause,[],[f1897,f1737,f1904,f1900]) ).
tff(f1900,plain,
( spl8_143
<=> $less(0,sK0(0,tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_143])]) ).
tff(f1897,plain,
( ( 0 = sK0(0,tb2t1(nil(int))) )
| $less(0,sK0(0,tb2t1(nil(int))))
| spl8_130 ),
inference(resolution,[],[f1738,f60]) ).
tff(f1925,plain,
( spl8_147
| spl8_148
| ~ spl8_43
| spl8_130 ),
inference(avatar_split_clause,[],[f1896,f1737,f793,f1922,f1918]) ).
tff(f1918,plain,
( spl8_147
<=> $less(sK2,sK0(0,tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_147])]) ).
tff(f1922,plain,
( spl8_148
<=> ( sK0(0,tb2t1(nil(int))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_148])]) ).
tff(f1896,plain,
( ( sK0(0,tb2t1(nil(int))) = sK2 )
| $less(sK2,sK0(0,tb2t1(nil(int))))
| ~ spl8_43
| spl8_130 ),
inference(resolution,[],[f1738,f857]) ).
tff(f1916,plain,
( spl8_145
| spl8_146
| ~ spl8_102
| spl8_130 ),
inference(avatar_split_clause,[],[f1895,f1737,f1351,f1913,f1909]) ).
tff(f1909,plain,
( spl8_145
<=> ( sK0(0,tb2t1(nil(int))) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_145])]) ).
tff(f1913,plain,
( spl8_146
<=> $less(sK7,sK0(0,tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_146])]) ).
tff(f1895,plain,
( $less(sK7,sK0(0,tb2t1(nil(int))))
| ( sK0(0,tb2t1(nil(int))) = sK7 )
| ~ spl8_102
| spl8_130 ),
inference(resolution,[],[f1738,f1368]) ).
tff(f1907,plain,
( spl8_143
| spl8_144
| spl8_130 ),
inference(avatar_split_clause,[],[f1898,f1737,f1904,f1900]) ).
tff(f1898,plain,
( ( 0 = sK0(0,tb2t1(nil(int))) )
| $less(0,sK0(0,tb2t1(nil(int))))
| spl8_130 ),
inference(resolution,[],[f1738,f60]) ).
tff(f1892,plain,
( ~ spl8_130
| spl8_56
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1891,f1700,f946,f1737]) ).
tff(f946,plain,
( spl8_56
<=> $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).
tff(f1891,plain,
( ~ $less(sK0(0,tb2t1(nil(int))),0)
| spl8_56
| ~ spl8_125 ),
inference(forward_demodulation,[],[f948,f1702]) ).
tff(f948,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0)
| spl8_56 ),
inference(avatar_component_clause,[],[f946]) ).
tff(f1890,plain,
( ~ spl8_142
| ~ spl8_56
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1878,f1700,f946,f1887]) ).
tff(f1887,plain,
( spl8_142
<=> $less(2,sK0(0,tb2t1(nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_142])]) ).
tff(f1878,plain,
( ~ $less(2,sK0(0,tb2t1(nil(int))))
| ~ spl8_56
| ~ spl8_125 ),
inference(interpreted_simplification,[],[f1877]) ).
tff(f1877,plain,
( ~ $less(2,sK0(0,tb2t1(nil(int))))
| $less(2,0)
| ~ spl8_56
| ~ spl8_125 ),
inference(instantiation,[],[f1713]) ).
tff(f1713,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0(0,tb2t1(nil(int))))
| $less(X0,0) )
| ~ spl8_56
| ~ spl8_125 ),
inference(backward_demodulation,[],[f984,f1702]) ).
tff(f984,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int)))) )
| ~ spl8_56 ),
inference(resolution,[],[f947,f59]) ).
tff(f947,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0)
| ~ spl8_56 ),
inference(avatar_component_clause,[],[f946]) ).
tff(f1876,plain,
( spl8_136
| spl8_137
| spl8_133 ),
inference(avatar_split_clause,[],[f1847,f1756,f1854,f1850]) ).
tff(f1854,plain,
( spl8_137
<=> $less(0,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_137])]) ).
tff(f1847,plain,
( $less(0,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( 0 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_133 ),
inference(resolution,[],[f1757,f60]) ).
tff(f1875,plain,
( spl8_140
| spl8_141
| ~ spl8_102
| spl8_133 ),
inference(avatar_split_clause,[],[f1845,f1756,f1351,f1872,f1868]) ).
tff(f1868,plain,
( spl8_140
<=> ( sK7 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_140])]) ).
tff(f1872,plain,
( spl8_141
<=> $less(sK7,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_141])]) ).
tff(f1845,plain,
( $less(sK7,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( sK7 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_102
| spl8_133 ),
inference(resolution,[],[f1757,f1368]) ).
tff(f1866,plain,
( spl8_138
| spl8_139
| ~ spl8_43
| spl8_133 ),
inference(avatar_split_clause,[],[f1846,f1756,f793,f1863,f1859]) ).
tff(f1859,plain,
( spl8_138
<=> $less(sK2,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_138])]) ).
tff(f1863,plain,
( spl8_139
<=> ( sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_139])]) ).
tff(f1846,plain,
( ( sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) = sK2 )
| $less(sK2,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ~ spl8_43
| spl8_133 ),
inference(resolution,[],[f1757,f857]) ).
tff(f1857,plain,
( spl8_136
| spl8_137
| spl8_133 ),
inference(avatar_split_clause,[],[f1848,f1756,f1854,f1850]) ).
tff(f1848,plain,
( $less(0,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( 0 = sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_133 ),
inference(resolution,[],[f1757,f60]) ).
tff(f1787,plain,
( spl8_134
| ~ spl8_66
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1786,f1700,f1056,f1761]) ).
tff(f1761,plain,
( spl8_134
<=> zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_134])]) ).
tff(f1056,plain,
( spl8_66
<=> zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).
tff(f1786,plain,
( zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),0)
| ~ spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1057,f1702]) ).
tff(f1057,plain,
( zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ spl8_66 ),
inference(avatar_component_clause,[],[f1056]) ).
tff(f1784,plain,
( ~ spl8_133
| spl8_66
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1783,f1700,f1056,f1756]) ).
tff(f1783,plain,
( ~ $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1782,f1702]) ).
tff(f1782,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66
| ~ spl8_125 ),
inference(trivial_inequality_removal,[],[f1781]) ).
tff(f1781,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1780,f322]) ).
tff(f1780,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1296,f1702]) ).
tff(f1296,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66 ),
inference(forward_demodulation,[],[f1293,f314]) ).
tff(f1293,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66 ),
inference(resolution,[],[f1058,f170]) ).
tff(f1058,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| spl8_66 ),
inference(avatar_component_clause,[],[f1056]) ).
tff(f1779,plain,
( spl8_135
| spl8_66
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1774,f1700,f1056,f1776]) ).
tff(f1774,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(trivial_inequality_removal,[],[f1773]) ).
tff(f1773,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1772,f322]) ).
tff(f1772,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1771,f1702]) ).
tff(f1771,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1770,f1702]) ).
tff(f1770,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66 ),
inference(forward_demodulation,[],[f1294,f314]) ).
tff(f1294,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66 ),
inference(forward_demodulation,[],[f1291,f314]) ).
tff(f1291,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| spl8_66 ),
inference(resolution,[],[f1058,f169]) ).
tff(f1769,plain,
( spl8_133
| spl8_66
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1768,f1700,f1056,f1756]) ).
tff(f1768,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_66
| ~ spl8_125 ),
inference(trivial_inequality_removal,[],[f1767]) ).
tff(f1767,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1766,f322]) ).
tff(f1766,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1765,f1702]) ).
tff(f1765,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_66
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1295,f1702]) ).
tff(f1295,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| spl8_66 ),
inference(forward_demodulation,[],[f1292,f314]) ).
tff(f1292,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(sK2,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| spl8_66 ),
inference(resolution,[],[f1058,f171]) ).
tff(f1764,plain,
( ~ spl8_134
| spl8_66
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1714,f1700,f1056,f1761]) ).
tff(f1714,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),0)
| spl8_66
| ~ spl8_125 ),
inference(backward_demodulation,[],[f1058,f1702]) ).
tff(f1759,plain,
( spl8_133
| ~ spl8_69
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1716,f1700,f1071,f1756]) ).
tff(f1071,plain,
( spl8_69
<=> $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).
tff(f1716,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ~ spl8_69
| ~ spl8_125 ),
inference(backward_demodulation,[],[f1073,f1702]) ).
tff(f1073,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ~ spl8_69 ),
inference(avatar_component_clause,[],[f1071]) ).
tff(f1754,plain,
( ~ spl8_132
| spl8_3
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1708,f1700,f355,f1751]) ).
tff(f1751,plain,
( spl8_132
<=> zero_at1(tb2t1(nil(int)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_132])]) ).
tff(f355,plain,
( spl8_3
<=> zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f1708,plain,
( ~ zero_at1(tb2t1(nil(int)),0)
| spl8_3
| ~ spl8_125 ),
inference(backward_demodulation,[],[f357,f1702]) ).
tff(f357,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| spl8_3 ),
inference(avatar_component_clause,[],[f355]) ).
tff(f1749,plain,
( ~ spl8_131
| spl8_54
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1744,f1700,f935,f1746]) ).
tff(f1744,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK4))) )
| spl8_54
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1711,f322]) ).
tff(f1711,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_54
| ~ spl8_125 ),
inference(backward_demodulation,[],[f937,f1702]) ).
tff(f937,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_54 ),
inference(avatar_component_clause,[],[f935]) ).
tff(f1743,plain,
( spl8_68
| ~ spl8_125 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
tff(f1742,plain,
( $false
| spl8_68
| ~ spl8_125 ),
inference(trivial_inequality_removal,[],[f1741]) ).
tff(f1741,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| spl8_68
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1715,f322]) ).
tff(f1715,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_68
| ~ spl8_125 ),
inference(backward_demodulation,[],[f1068,f1702]) ).
tff(f1068,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_68 ),
inference(avatar_component_clause,[],[f1066]) ).
tff(f1066,plain,
( spl8_68
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
tff(f1740,plain,
( spl8_130
| ~ spl8_56
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1712,f1700,f946,f1737]) ).
tff(f1712,plain,
( $less(sK0(0,tb2t1(nil(int))),0)
| ~ spl8_56
| ~ spl8_125 ),
inference(backward_demodulation,[],[f947,f1702]) ).
tff(f1735,plain,
( spl8_129
| ~ spl8_53
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1710,f1700,f931,f1732]) ).
tff(f1710,plain,
( $less(sK0(0,tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_53
| ~ spl8_125 ),
inference(backward_demodulation,[],[f932,f1702]) ).
tff(f932,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ~ spl8_53 ),
inference(avatar_component_clause,[],[f931]) ).
tff(f1730,plain,
( ~ spl8_128
| spl8_14
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f1709,f1700,f402,f1727]) ).
tff(f1709,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),0)
| spl8_14
| ~ spl8_125 ),
inference(backward_demodulation,[],[f404,f1702]) ).
tff(f1725,plain,
( ~ spl8_127
| ~ spl8_125
| spl8_126 ),
inference(avatar_split_clause,[],[f1720,f1704,f1700,f1722]) ).
tff(f1722,plain,
( spl8_127
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,-1,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_127])]) ).
tff(f1704,plain,
( spl8_126
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum($sum(sK2,$uminus(sK2)),-1),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).
tff(f1720,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,-1,t2tb1(sK3))) )
| ~ spl8_125
| spl8_126 ),
inference(evaluation,[],[f1719]) ).
tff(f1719,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(0,-1),t2tb1(sK3))) )
| ~ spl8_125
| spl8_126 ),
inference(backward_demodulation,[],[f1706,f1702]) ).
tff(f1706,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK2,$uminus(sK2)),-1),t2tb1(sK3))) )
| spl8_126 ),
inference(avatar_component_clause,[],[f1704]) ).
tff(f1707,plain,
( spl8_125
| ~ spl8_126
| spl8_54 ),
inference(avatar_split_clause,[],[f1698,f935,f1704,f1700]) ).
tff(f1698,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK2,$uminus(sK2)),-1),t2tb1(sK3))) )
| ( 0 = $sum(sK2,$uminus(sK2)) )
| spl8_54 ),
inference(superposition,[],[f937,f337]) ).
tff(f1694,plain,
( spl8_122
| spl8_123
| spl8_124
| ~ spl8_37
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1680,f1256,f721,f1691,f1687,f1683]) ).
tff(f1687,plain,
( spl8_123
<=> $less(sK2,$sum(sK7,$uminus(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).
tff(f1691,plain,
( spl8_124
<=> ( $sum(sK7,$uminus(sK2)) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_124])]) ).
tff(f1680,plain,
( ( $sum(sK7,$uminus(sK2)) = sK2 )
| $less(sK2,$sum(sK7,$uminus(sK2)))
| $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),sK7)
| ~ spl8_37
| ~ spl8_91 ),
inference(resolution,[],[f1258,f1221]) ).
tff(f1676,plain,
( ~ spl8_121
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f1665,f1630,f1673]) ).
tff(f1673,plain,
( spl8_121
<=> $less(2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).
tff(f1630,plain,
( spl8_118
<=> $less(sK2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).
tff(f1665,plain,
( ~ $less(2,sK2)
| ~ spl8_118 ),
inference(interpreted_simplification,[],[f1664]) ).
tff(f1664,plain,
( ~ $less(2,sK2)
| $less(2,2)
| ~ spl8_118 ),
inference(instantiation,[],[f1640]) ).
tff(f1640,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,2) )
| ~ spl8_118 ),
inference(resolution,[],[f1632,f59]) ).
tff(f1632,plain,
( $less(sK2,2)
| ~ spl8_118 ),
inference(avatar_component_clause,[],[f1630]) ).
tff(f1663,plain,
( spl8_120
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f1658,f1155,f1660]) ).
tff(f1155,plain,
( spl8_78
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).
tff(f1658,plain,
( ( some(int,t2tb2(0)) = nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3)) )
| ~ spl8_78 ),
inference(forward_demodulation,[],[f1657,f192]) ).
tff(f1657,plain,
( ( nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3)) = t2tb(tb2t(some(int,t2tb2(0)))) )
| ~ spl8_78 ),
inference(superposition,[],[f192,f1157]) ).
tff(f1157,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3))) )
| ~ spl8_78 ),
inference(avatar_component_clause,[],[f1155]) ).
tff(f1637,plain,
( spl8_118
| spl8_119
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f1583,f793,f1634,f1630]) ).
tff(f1634,plain,
( spl8_119
<=> ( 2 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).
tff(f1583,plain,
( ( 2 = sK2 )
| $less(sK2,2)
| ~ spl8_43 ),
inference(interpreted_simplification,[],[f1582]) ).
tff(f1582,plain,
( ~ $less(1,2)
| $less(1,0)
| $less(sK2,2)
| ( 2 = sK2 )
| ~ spl8_43 ),
inference(instantiation,[],[f905]) ).
tff(f1540,plain,
( spl8_116
| spl8_87
| spl8_117
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f1493,f721,f1537,f1228,f1533]) ).
tff(f1533,plain,
( spl8_116
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).
tff(f1228,plain,
( spl8_87
<=> $less(0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).
tff(f1537,plain,
( spl8_117
<=> $less(sK2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_117])]) ).
tff(f1493,plain,
( $less(sK2,1)
| $less(0,sK7)
| ( 1 = sK2 )
| ~ spl8_37 ),
inference(interpreted_simplification,[],[f1492]) ).
tff(f1492,plain,
( ~ $less(0,1)
| $less(sK2,1)
| ( 1 = sK2 )
| $less(0,sK7)
| ~ spl8_37 ),
inference(instantiation,[],[f1221]) ).
tff(f1483,plain,
( spl8_114
| spl8_115
| spl8_89
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1452,f1351,f1243,f1480,f1476]) ).
tff(f1452,plain,
( ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK7 )
| $less(sK7,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_89
| ~ spl8_102 ),
inference(resolution,[],[f1245,f1368]) ).
tff(f1474,plain,
( spl8_113
| spl8_112
| spl8_89 ),
inference(avatar_split_clause,[],[f1454,f1243,f1466,f1470]) ).
tff(f1454,plain,
( $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_89 ),
inference(resolution,[],[f1245,f60]) ).
tff(f1473,plain,
( spl8_112
| spl8_113
| spl8_89 ),
inference(avatar_split_clause,[],[f1455,f1243,f1470,f1466]) ).
tff(f1455,plain,
( ( 0 = sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(0,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_89 ),
inference(resolution,[],[f1245,f60]) ).
tff(f1464,plain,
( spl8_110
| spl8_111
| ~ spl8_43
| spl8_89 ),
inference(avatar_split_clause,[],[f1453,f1243,f793,f1461,f1457]) ).
tff(f1453,plain,
( $less(sK2,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) = sK2 )
| ~ spl8_43
| spl8_89 ),
inference(resolution,[],[f1245,f857]) ).
tff(f1449,plain,
( spl8_108
| spl8_109
| ~ spl8_32
| spl8_101 ),
inference(avatar_split_clause,[],[f1438,f1347,f677,f1446,f1442]) ).
tff(f1438,plain,
( ( $sum(sK2,$sum(1,length1(int,t2tb1(sK3)))) = sK1(sK3) )
| $less($sum(sK2,$sum(1,length1(int,t2tb1(sK3)))),0)
| ~ spl8_32
| spl8_101 ),
inference(resolution,[],[f1348,f766]) ).
tff(f1436,plain,
( ~ spl8_107
| spl8_72
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f1424,f1105,f1099,f1433]) ).
tff(f1099,plain,
( spl8_72
<=> ( cons(int,t2tb2(sK5),t2tb1(sK3)) = cons(int,t2tb2(0),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).
tff(f1105,plain,
( spl8_73
<=> ( cons(int,t2tb2(sK5),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).
tff(f1424,plain,
( ( cons(int,t2tb2(0),t2tb1(sK3)) != cons(int,t2tb2(sK4),t2tb1(sK3)) )
| spl8_72
| ~ spl8_73 ),
inference(superposition,[],[f1101,f1107]) ).
tff(f1107,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_73 ),
inference(avatar_component_clause,[],[f1105]) ).
tff(f1101,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK3)) != cons(int,t2tb2(0),t2tb1(sK3)) )
| spl8_72 ),
inference(avatar_component_clause,[],[f1099]) ).
tff(f1408,plain,
( spl8_105
| spl8_106
| spl8_31
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1375,f1351,f672,f1405,f1401]) ).
tff(f1375,plain,
( ( sK7 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(sK7,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_31
| ~ spl8_102 ),
inference(resolution,[],[f1368,f674]) ).
tff(f1399,plain,
( spl8_103
| spl8_104
| spl8_63
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1376,f1351,f1041,f1396,f1392]) ).
tff(f1392,plain,
( spl8_103
<=> ( sK7 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_103])]) ).
tff(f1376,plain,
( $less(sK7,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( sK7 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_63
| ~ spl8_102 ),
inference(resolution,[],[f1368,f1043]) ).
tff(f1043,plain,
( ~ $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_63 ),
inference(avatar_component_clause,[],[f1041]) ).
tff(f1354,plain,
( spl8_100
| spl8_101
| spl8_102
| ~ spl8_27
| ~ spl8_32 ),
inference(avatar_split_clause,[],[f1338,f677,f632,f1351,f1347,f1343]) ).
tff(f1338,plain,
( $less(sK7,0)
| $less(sK1(sK3),$sum(sK2,$sum(1,length1(int,t2tb1(sK3)))))
| ( sK1(sK3) = sK7 )
| ~ spl8_27
| ~ spl8_32 ),
inference(resolution,[],[f691,f766]) ).
tff(f1318,plain,
( spl8_97
| spl8_96
| spl8_63 ),
inference(avatar_split_clause,[],[f1298,f1041,f1301,f1305]) ).
tff(f1305,plain,
( spl8_97
<=> $less(0,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_97])]) ).
tff(f1298,plain,
( ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| $less(0,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| spl8_63 ),
inference(resolution,[],[f1043,f60]) ).
tff(f1317,plain,
( spl8_98
| spl8_99
| ~ spl8_43
| spl8_63 ),
inference(avatar_split_clause,[],[f1297,f1041,f793,f1314,f1310]) ).
tff(f1310,plain,
( spl8_98
<=> ( sK2 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).
tff(f1314,plain,
( spl8_99
<=> $less(sK2,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).
tff(f1297,plain,
( $less(sK2,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( sK2 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_43
| spl8_63 ),
inference(resolution,[],[f1043,f857]) ).
tff(f1308,plain,
( spl8_96
| spl8_97
| spl8_63 ),
inference(avatar_split_clause,[],[f1299,f1041,f1305,f1301]) ).
tff(f1299,plain,
( $less(0,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))
| ( 0 = sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_63 ),
inference(resolution,[],[f1043,f60]) ).
tff(f1290,plain,
( spl8_95
| spl8_94
| spl8_31 ),
inference(avatar_split_clause,[],[f1271,f672,f1282,f1286]) ).
tff(f1271,plain,
( ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| $less(0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| spl8_31 ),
inference(resolution,[],[f674,f60]) ).
tff(f1289,plain,
( spl8_94
| spl8_95
| spl8_31 ),
inference(avatar_split_clause,[],[f1270,f672,f1286,f1282]) ).
tff(f1270,plain,
( $less(0,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_31 ),
inference(resolution,[],[f674,f60]) ).
tff(f1280,plain,
( spl8_92
| spl8_93
| spl8_31
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f1269,f793,f672,f1277,f1273]) ).
tff(f1269,plain,
( $less(sK2,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK2 = sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_31
| ~ spl8_43 ),
inference(resolution,[],[f674,f857]) ).
tff(f1259,plain,
( ~ spl8_88
| spl8_91
| spl8_7 ),
inference(avatar_split_clause,[],[f1254,f371,f1256,f1239]) ).
tff(f1254,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK7,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f1235,f314]) ).
tff(f1235,plain,
( $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(sK7,$uminus(sK2)))
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_7 ),
inference(resolution,[],[f373,f171]) ).
tff(f1253,plain,
( spl8_90
| ~ spl8_88
| spl8_7 ),
inference(avatar_split_clause,[],[f1248,f371,f1239,f1250]) ).
tff(f1248,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f1247,f314]) ).
tff(f1247,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f1234,f314]) ).
tff(f1234,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_7 ),
inference(resolution,[],[f373,f169]) ).
tff(f1246,plain,
( ~ spl8_88
| ~ spl8_89
| spl8_7 ),
inference(avatar_split_clause,[],[f1237,f371,f1243,f1239]) ).
tff(f1237,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_7 ),
inference(forward_demodulation,[],[f1236,f314]) ).
tff(f1236,plain,
( ~ $less(sK0($sum(sK7,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_7 ),
inference(resolution,[],[f373,f170]) ).
tff(f1231,plain,
( ~ spl8_86
| spl8_87
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f1218,f721,f1228,f1224]) ).
tff(f1224,plain,
( spl8_86
<=> $less(1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).
tff(f1218,plain,
( $less(0,sK7)
| ~ $less(1,sK2)
| ~ spl8_37 ),
inference(interpreted_simplification,[],[f1217]) ).
tff(f1217,plain,
( ~ $less(1,sK2)
| ~ $less(0,1)
| $less(0,sK7)
| ~ spl8_37 ),
inference(instantiation,[],[f1205]) ).
tff(f1216,plain,
( ~ spl8_85
| ~ spl8_58
| spl8_62 ),
inference(avatar_split_clause,[],[f1211,f1036,f999,f1213]) ).
tff(f1036,plain,
( spl8_62
<=> ( some(int,t2tb2(0)) = some(int,t2tb2(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).
tff(f1211,plain,
( ( some(int,t2tb2(0)) != some(int,t2tb2(sK4)) )
| ~ spl8_58
| spl8_62 ),
inference(superposition,[],[f1038,f1001]) ).
tff(f1038,plain,
( ( some(int,t2tb2(0)) != some(int,t2tb2(sK5)) )
| spl8_62 ),
inference(avatar_component_clause,[],[f1036]) ).
tff(f1203,plain,
( ~ spl8_84
| spl8_81
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f1198,f1190,f1181,f1200]) ).
tff(f1198,plain,
( ( 0 != sK2 )
| spl8_81
| ~ spl8_83 ),
inference(forward_demodulation,[],[f1182,f1192]) ).
tff(f1192,plain,
( ( 0 = sK1(tb2t1(nil(int))) )
| ~ spl8_83 ),
inference(avatar_component_clause,[],[f1190]) ).
tff(f1182,plain,
( ( sK2 != sK1(tb2t1(nil(int))) )
| spl8_81 ),
inference(avatar_component_clause,[],[f1181]) ).
tff(f1194,plain,
( spl8_83
| spl8_42
| spl8_30 ),
inference(avatar_split_clause,[],[f1179,f667,f775,f1190]) ).
tff(f1179,plain,
( $less(0,sK1(tb2t1(nil(int))))
| ( 0 = sK1(tb2t1(nil(int))) )
| spl8_30 ),
inference(resolution,[],[f669,f60]) ).
tff(f1193,plain,
( spl8_42
| spl8_83
| spl8_30 ),
inference(avatar_split_clause,[],[f1178,f667,f1190,f775]) ).
tff(f1178,plain,
( ( 0 = sK1(tb2t1(nil(int))) )
| $less(0,sK1(tb2t1(nil(int))))
| spl8_30 ),
inference(resolution,[],[f669,f60]) ).
tff(f1188,plain,
( spl8_81
| spl8_82
| spl8_30
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f1177,f793,f667,f1185,f1181]) ).
tff(f1177,plain,
( $less(sK2,sK1(tb2t1(nil(int))))
| ( sK2 = sK1(tb2t1(nil(int))) )
| spl8_30
| ~ spl8_43 ),
inference(resolution,[],[f669,f857]) ).
tff(f1175,plain,
( ~ spl8_63
| spl8_61 ),
inference(avatar_split_clause,[],[f1161,f1031,f1041]) ).
tff(f1161,plain,
( ~ $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| spl8_61 ),
inference(resolution,[],[f1033,f198]) ).
tff(f1033,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))
| spl8_61 ),
inference(avatar_component_clause,[],[f1031]) ).
tff(f1174,plain,
( spl8_80
| spl8_61 ),
inference(avatar_split_clause,[],[f1169,f1031,f1171]) ).
tff(f1169,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),cons(int,t2tb2(0),t2tb1(sK3)))) )
| spl8_61 ),
inference(forward_demodulation,[],[f1159,f314]) ).
tff(f1159,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))))) )
| spl8_61 ),
inference(resolution,[],[f1033,f197]) ).
tff(f1168,plain,
( spl8_79
| spl8_61 ),
inference(avatar_split_clause,[],[f1163,f1031,f1165]) ).
tff(f1163,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| spl8_61 ),
inference(forward_demodulation,[],[f1162,f309]) ).
tff(f1162,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),length1(int,cons(int,t2tb2(0),t2tb1(sK3))))
| spl8_61 ),
inference(forward_demodulation,[],[f1160,f314]) ).
tff(f1160,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))))
| spl8_61 ),
inference(resolution,[],[f1033,f199]) ).
tff(f1158,plain,
( spl8_78
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1153,f393,f1155]) ).
tff(f1153,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7,$uminus($sum(sK2,1))),t2tb1(sK3))) )
| ~ spl8_12 ),
inference(resolution,[],[f395,f173]) ).
tff(f173,plain,
! [X0: $int,X1: list_int] :
( ~ zero_at1(X1,X0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X0,t2tb1(X1))) ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f1146,plain,
( spl8_4
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f1145,f1006,f359]) ).
tff(f359,plain,
( spl8_4
<=> ( sK6 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
tff(f1006,plain,
( spl8_59
<=> ( t2tb1(sK3) = t2tb1(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).
tff(f1145,plain,
( ( sK6 = sK3 )
| ~ spl8_59 ),
inference(forward_demodulation,[],[f1143,f315]) ).
tff(f315,plain,
! [X0: list_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: list_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X14: list_int] : ( tb2t1(t2tb1(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1) ).
tff(f1143,plain,
( ( tb2t1(t2tb1(sK3)) = sK6 )
| ~ spl8_59 ),
inference(superposition,[],[f315,f1008]) ).
tff(f1008,plain,
( ( t2tb1(sK3) = t2tb1(sK6) )
| ~ spl8_59 ),
inference(avatar_component_clause,[],[f1006]) ).
tff(f1142,plain,
( spl8_77
| spl8_6 ),
inference(avatar_split_clause,[],[f1137,f367,f1139]) ).
tff(f367,plain,
( spl8_6
<=> no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
tff(f1137,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),$sum(1,length1(int,t2tb1(sK3))))
| spl8_6 ),
inference(forward_demodulation,[],[f1136,f309]) ).
tff(f1136,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))
| spl8_6 ),
inference(forward_demodulation,[],[f1128,f314]) ).
tff(f1128,plain,
( $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))))
| spl8_6 ),
inference(resolution,[],[f369,f199]) ).
tff(f369,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| spl8_6 ),
inference(avatar_component_clause,[],[f367]) ).
tff(f1135,plain,
( spl8_76
| spl8_6 ),
inference(avatar_split_clause,[],[f1130,f367,f1132]) ).
tff(f1130,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| spl8_6 ),
inference(forward_demodulation,[],[f1127,f314]) ).
tff(f1127,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| spl8_6 ),
inference(resolution,[],[f369,f197]) ).
tff(f1123,plain,
( ~ spl8_75
| spl8_71
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f1117,f1105,f1094,f1120]) ).
tff(f1094,plain,
( spl8_71
<=> ( tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).
tff(f1117,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) )
| spl8_71
| ~ spl8_73 ),
inference(backward_demodulation,[],[f1096,f1107]) ).
tff(f1096,plain,
( ( tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) )
| spl8_71 ),
inference(avatar_component_clause,[],[f1094]) ).
tff(f1116,plain,
( spl8_74
| ~ spl8_20
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f1111,f1006,f428,f1113]) ).
tff(f428,plain,
( spl8_20
<=> ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
tff(f1111,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) )
| ~ spl8_20
| ~ spl8_59 ),
inference(forward_demodulation,[],[f430,f1008]) ).
tff(f430,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f428]) ).
tff(f1110,plain,
( spl8_73
| ~ spl8_33
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f1109,f1006,f684,f1105]) ).
tff(f684,plain,
( spl8_33
<=> ( cons(int,t2tb2(sK5),t2tb1(sK6)) = cons(int,t2tb2(sK4),t2tb1(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
tff(f1109,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_33
| ~ spl8_59 ),
inference(forward_demodulation,[],[f686,f1008]) ).
tff(f686,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK6)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_33 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f1108,plain,
( spl8_73
| ~ spl8_20
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f1103,f1006,f428,f1105]) ).
tff(f1103,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK3)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_20
| ~ spl8_59 ),
inference(forward_demodulation,[],[f682,f1008]) ).
tff(f682,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK6)) = cons(int,t2tb2(sK4),t2tb1(sK3)) )
| ~ spl8_20 ),
inference(forward_demodulation,[],[f681,f314]) ).
tff(f681,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK6)) = t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ spl8_20 ),
inference(superposition,[],[f314,f430]) ).
tff(f1102,plain,
( ~ spl8_72
| ~ spl8_59
| spl8_64 ),
inference(avatar_split_clause,[],[f1086,f1046,f1006,f1099]) ).
tff(f1046,plain,
( spl8_64
<=> ( cons(int,t2tb2(0),t2tb1(sK3)) = cons(int,t2tb2(sK5),t2tb1(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).
tff(f1086,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK3)) != cons(int,t2tb2(0),t2tb1(sK3)) )
| ~ spl8_59
| spl8_64 ),
inference(backward_demodulation,[],[f1048,f1008]) ).
tff(f1048,plain,
( ( cons(int,t2tb2(0),t2tb1(sK3)) != cons(int,t2tb2(sK5),t2tb1(sK6)) )
| spl8_64 ),
inference(avatar_component_clause,[],[f1046]) ).
tff(f1097,plain,
( ~ spl8_71
| ~ spl8_59
| spl8_65 ),
inference(avatar_split_clause,[],[f1087,f1051,f1006,f1094]) ).
tff(f1051,plain,
( spl8_65
<=> ( tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).
tff(f1087,plain,
( ( tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) )
| ~ spl8_59
| spl8_65 ),
inference(backward_demodulation,[],[f1053,f1008]) ).
tff(f1053,plain,
( ( tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| spl8_65 ),
inference(avatar_component_clause,[],[f1051]) ).
tff(f1092,plain,
( ~ spl8_70
| ~ spl8_59
| spl8_60 ),
inference(avatar_split_clause,[],[f1085,f1017,f1006,f1089]) ).
tff(f1017,plain,
( spl8_60
<=> ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).
tff(f1085,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK3))) )
| ~ spl8_59
| spl8_60 ),
inference(backward_demodulation,[],[f1019,f1008]) ).
tff(f1019,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| spl8_60 ),
inference(avatar_component_clause,[],[f1017]) ).
tff(f1084,plain,
( spl8_58
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f997,f684,f999]) ).
tff(f997,plain,
( ( some(int,t2tb2(sK5)) = some(int,t2tb2(sK4)) )
| ~ spl8_33 ),
inference(forward_demodulation,[],[f987,f322]) ).
tff(f987,plain,
( ( some(int,t2tb2(sK5)) = nth1(int,0,cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_33 ),
inference(superposition,[],[f322,f686]) ).
tff(f1083,plain,
( spl8_55
| spl8_17 ),
inference(avatar_split_clause,[],[f1082,f415,f942]) ).
tff(f942,plain,
( spl8_55
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(none(int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
tff(f415,plain,
( spl8_17
<=> no_zero1(tb2t1(nil(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
tff(f1082,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(none(int)) )
| spl8_17 ),
inference(forward_demodulation,[],[f1081,f165]) ).
tff(f165,plain,
! [X0: $int,X1: ty] : ( none(X1) = nth1(X1,X0,nil(X1)) ),
inference(cnf_transformation,[],[f126]) ).
tff(f1081,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),nil(int))) )
| spl8_17 ),
inference(forward_demodulation,[],[f1075,f314]) ).
tff(f1075,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK1(tb2t1(nil(int))),t2tb1(tb2t1(nil(int))))) )
| spl8_17 ),
inference(resolution,[],[f417,f197]) ).
tff(f417,plain,
( ~ no_zero1(tb2t1(nil(int)))
| spl8_17 ),
inference(avatar_component_clause,[],[f415]) ).
tff(f1080,plain,
( spl8_30
| spl8_17 ),
inference(avatar_split_clause,[],[f1079,f415,f667]) ).
tff(f1079,plain,
( $less(sK1(tb2t1(nil(int))),0)
| spl8_17 ),
inference(forward_demodulation,[],[f1078,f323]) ).
tff(f1078,plain,
( $less(sK1(tb2t1(nil(int))),length1(int,nil(int)))
| spl8_17 ),
inference(forward_demodulation,[],[f1076,f314]) ).
tff(f1076,plain,
( $less(sK1(tb2t1(nil(int))),length1(int,t2tb1(tb2t1(nil(int)))))
| spl8_17 ),
inference(resolution,[],[f417,f199]) ).
tff(f1074,plain,
( spl8_69
| ~ spl8_19
| ~ spl8_53 ),
inference(avatar_split_clause,[],[f1027,f931,f424,f1071]) ).
tff(f1027,plain,
( $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ~ spl8_19
| ~ spl8_53 ),
inference(backward_demodulation,[],[f932,f426]) ).
tff(f426,plain,
( ( 0 = sK4 )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f424]) ).
tff(f1069,plain,
( ~ spl8_68
| ~ spl8_19
| spl8_54 ),
inference(avatar_split_clause,[],[f1028,f935,f424,f1066]) ).
tff(f1028,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(0),t2tb1(sK3)))) )
| ~ spl8_19
| spl8_54 ),
inference(backward_demodulation,[],[f937,f426]) ).
tff(f1064,plain,
( ~ spl8_67
| spl8_2
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f1021,f424,f351,f1061]) ).
tff(f1061,plain,
( spl8_67
<=> ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
tff(f1021,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) )
| spl8_2
| ~ spl8_19 ),
inference(backward_demodulation,[],[f352,f426]) ).
tff(f352,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| spl8_2 ),
inference(avatar_component_clause,[],[f351]) ).
tff(f1059,plain,
( ~ spl8_66
| spl8_14
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f1023,f424,f402,f1056]) ).
tff(f1023,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| spl8_14
| ~ spl8_19 ),
inference(backward_demodulation,[],[f404,f426]) ).
tff(f1054,plain,
( ~ spl8_65
| ~ spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f1024,f428,f424,f1051]) ).
tff(f1024,plain,
( ( tb2t1(cons(int,t2tb2(0),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ spl8_19
| spl8_20 ),
inference(backward_demodulation,[],[f429,f426]) ).
tff(f429,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| spl8_20 ),
inference(avatar_component_clause,[],[f428]) ).
tff(f1049,plain,
( ~ spl8_64
| ~ spl8_19
| spl8_33 ),
inference(avatar_split_clause,[],[f1026,f684,f424,f1046]) ).
tff(f1026,plain,
( ( cons(int,t2tb2(0),t2tb1(sK3)) != cons(int,t2tb2(sK5),t2tb1(sK6)) )
| ~ spl8_19
| spl8_33 ),
inference(backward_demodulation,[],[f685,f426]) ).
tff(f685,plain,
( ( cons(int,t2tb2(sK5),t2tb1(sK6)) != cons(int,t2tb2(sK4),t2tb1(sK3)) )
| spl8_33 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f1044,plain,
( ~ spl8_63
| ~ spl8_19
| spl8_31 ),
inference(avatar_split_clause,[],[f1025,f672,f424,f1041]) ).
tff(f1025,plain,
( ~ $less(sK1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3)))),0)
| ~ spl8_19
| spl8_31 ),
inference(backward_demodulation,[],[f674,f426]) ).
tff(f1039,plain,
( ~ spl8_62
| ~ spl8_19
| spl8_58 ),
inference(avatar_split_clause,[],[f1029,f999,f424,f1036]) ).
tff(f1029,plain,
( ( some(int,t2tb2(0)) != some(int,t2tb2(sK5)) )
| ~ spl8_19
| spl8_58 ),
inference(backward_demodulation,[],[f1000,f426]) ).
tff(f1000,plain,
( ( some(int,t2tb2(sK5)) != some(int,t2tb2(sK4)) )
| spl8_58 ),
inference(avatar_component_clause,[],[f999]) ).
tff(f1034,plain,
( ~ spl8_61
| spl8_6
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f1022,f424,f367,f1031]) ).
tff(f1022,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK3))))
| spl8_6
| ~ spl8_19 ),
inference(backward_demodulation,[],[f369,f426]) ).
tff(f1020,plain,
( ~ spl8_60
| ~ spl8_2
| spl8_20 ),
inference(avatar_split_clause,[],[f1010,f428,f351,f1017]) ).
tff(f1010,plain,
( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ spl8_2
| spl8_20 ),
inference(backward_demodulation,[],[f429,f353]) ).
tff(f1009,plain,
( spl8_59
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f1004,f684,f1006]) ).
tff(f1004,plain,
( ( t2tb1(sK3) = t2tb1(sK6) )
| ~ spl8_33 ),
inference(forward_demodulation,[],[f988,f187]) ).
tff(f187,plain,
! [X2: ty,X0: uni,X1: uni] : ( cons_proj_21(X2,cons(X2,X0,X1)) = X1 ),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: uni,X1: uni,X2: ty] : ( cons_proj_21(X2,cons(X2,X0,X1)) = X1 ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X2: uni,X0: uni,X1: ty] : ( cons_proj_21(X1,cons(X1,X2,X0)) = X0 ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X9: uni,X0: ty,X6: uni] : ( cons_proj_21(X0,cons(X0,X6,X9)) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1) ).
tff(f988,plain,
( ( t2tb1(sK6) = cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_33 ),
inference(superposition,[],[f187,f686]) ).
tff(f1002,plain,
( spl8_58
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f997,f684,f999]) ).
tff(f996,plain,
( spl8_57
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f991,f684,f993]) ).
tff(f991,plain,
( ( $sum(1,length1(int,t2tb1(sK3))) = $sum(1,length1(int,t2tb1(sK6))) )
| ~ spl8_33 ),
inference(forward_demodulation,[],[f986,f309]) ).
tff(f986,plain,
( ( $sum(1,length1(int,t2tb1(sK6))) = length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ spl8_33 ),
inference(superposition,[],[f309,f686]) ).
tff(f949,plain,
( ~ spl8_55
| ~ spl8_56
| spl8_3 ),
inference(avatar_split_clause,[],[f940,f355,f946,f942]) ).
tff(f940,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(none(int)) )
| spl8_3 ),
inference(forward_demodulation,[],[f939,f165]) ).
tff(f939,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),nil(int))) )
| spl8_3 ),
inference(forward_demodulation,[],[f916,f314]) ).
tff(f916,plain,
( ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(nil(int))),0)
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(nil(int))))) )
| spl8_3 ),
inference(resolution,[],[f170,f357]) ).
tff(f938,plain,
( ~ spl8_53
| ~ spl8_54
| spl8_14 ),
inference(avatar_split_clause,[],[f929,f402,f935,f931]) ).
tff(f929,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),cons(int,t2tb2(sK4),t2tb1(sK3)))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14 ),
inference(forward_demodulation,[],[f917,f314]) ).
tff(f917,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus(sK2)),t2tb1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))))) )
| ~ $less(sK0($sum(sK2,$uminus(sK2)),tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_14 ),
inference(resolution,[],[f170,f404]) ).
tff(f928,plain,
( ~ spl8_51
| ~ spl8_52
| spl8_41 ),
inference(avatar_split_clause,[],[f918,f755,f925,f921]) ).
tff(f918,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK2,$uminus($sum(sK2,1))),t2tb1(sK3))) )
| ~ $less(sK0($sum(sK2,$uminus($sum(sK2,1))),sK3),0)
| spl8_41 ),
inference(resolution,[],[f170,f757]) ).
tff(f757,plain,
( ~ zero_at1(sK3,$sum(sK2,$uminus($sum(sK2,1))))
| spl8_41 ),
inference(avatar_component_clause,[],[f755]) ).
tff(f895,plain,
( ~ spl8_50
| ~ spl8_47 ),
inference(avatar_split_clause,[],[f885,f840,f892]) ).
tff(f892,plain,
( spl8_50
<=> $less(0,$sum(sK2,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).
tff(f885,plain,
( ~ $less(0,$sum(sK2,1))
| ~ spl8_47 ),
inference(interpreted_simplification,[],[f884]) ).
tff(f884,plain,
( ~ $less(0,$sum(sK2,1))
| $less(0,0)
| ~ spl8_47 ),
inference(instantiation,[],[f852]) ).
tff(f862,plain,
( ~ spl8_49
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f854,f793,f859]) ).
tff(f859,plain,
( spl8_49
<=> $less(0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).
tff(f854,plain,
( ~ $less(0,sK2)
| ~ spl8_43 ),
inference(interpreted_simplification,[],[f853]) ).
tff(f853,plain,
( ~ $less(0,sK2)
| $less(0,0)
| ~ spl8_43 ),
inference(instantiation,[],[f829]) ).
tff(f847,plain,
( spl8_47
| spl8_48
| ~ spl8_32
| spl8_45 ),
inference(avatar_split_clause,[],[f831,f801,f677,f844,f840]) ).
tff(f831,plain,
( ( sK1(sK3) = $sum(sK2,1) )
| $less($sum(sK2,1),0)
| ~ spl8_32
| spl8_45 ),
inference(resolution,[],[f802,f766]) ).
tff(f838,plain,
( spl8_46
| spl8_44
| ~ spl8_21
| ~ spl8_36
| spl8_45 ),
inference(avatar_split_clause,[],[f830,f801,f717,f432,f797,f835]) ).
tff(f835,plain,
( spl8_46
<=> $less(sK2,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).
tff(f797,plain,
( spl8_44
<=> ( sK1(sK3) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).
tff(f432,plain,
( spl8_21
<=> $less(sK7,$sum(sK2,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
tff(f830,plain,
( ( sK1(sK3) = sK2 )
| $less(sK2,sK1(sK3))
| ~ spl8_21
| ~ spl8_36
| spl8_45 ),
inference(resolution,[],[f802,f767]) ).
tff(f767,plain,
( ! [X0: $int] :
( $less(X0,$sum(sK2,1))
| ( sK2 = X0 )
| $less(sK2,X0) )
| ~ spl8_21
| ~ spl8_36 ),
inference(resolution,[],[f735,f60]) ).
tff(f735,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,$sum(sK2,1)) )
| ~ spl8_21
| ~ spl8_36 ),
inference(backward_demodulation,[],[f690,f719]) ).
tff(f719,plain,
( ( sK7 = sK2 )
| ~ spl8_36 ),
inference(avatar_component_clause,[],[f717]) ).
tff(f690,plain,
( ! [X0: $int] :
( $less(X0,$sum(sK2,1))
| ~ $less(X0,sK7) )
| ~ spl8_21 ),
inference(resolution,[],[f59,f433]) ).
tff(f433,plain,
( $less(sK7,$sum(sK2,1))
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f432]) ).
tff(f804,plain,
( spl8_43
| spl8_44
| spl8_45
| ~ spl8_21
| ~ spl8_32
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f790,f717,f677,f432,f801,f797,f793]) ).
tff(f790,plain,
( $less(sK1(sK3),$sum(sK2,1))
| ( sK1(sK3) = sK2 )
| $less(sK2,0)
| ~ spl8_21
| ~ spl8_32
| ~ spl8_36 ),
inference(resolution,[],[f766,f735]) ).
tff(f778,plain,
( ~ spl8_42
| ~ spl8_30 ),
inference(avatar_split_clause,[],[f771,f667,f775]) ).
tff(f771,plain,
( ~ $less(0,sK1(tb2t1(nil(int))))
| ~ spl8_30 ),
inference(interpreted_simplification,[],[f770]) ).
tff(f770,plain,
( ~ $less(0,sK1(tb2t1(nil(int))))
| $less(0,0)
| ~ spl8_30 ),
inference(instantiation,[],[f694]) ).
tff(f694,plain,
( ! [X4: $int] :
( ~ $less(X4,sK1(tb2t1(nil(int))))
| $less(X4,0) )
| ~ spl8_30 ),
inference(resolution,[],[f59,f668]) ).
tff(f668,plain,
( $less(sK1(tb2t1(nil(int))),0)
| ~ spl8_30 ),
inference(avatar_component_clause,[],[f667]) ).
tff(f758,plain,
( ~ spl8_41
| spl8_12
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f729,f717,f393,f755]) ).
tff(f729,plain,
( ~ zero_at1(sK3,$sum(sK2,$uminus($sum(sK2,1))))
| spl8_12
| ~ spl8_36 ),
inference(backward_demodulation,[],[f394,f719]) ).
tff(f394,plain,
( ~ zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| spl8_12 ),
inference(avatar_component_clause,[],[f393]) ).
tff(f753,plain,
( spl8_40
| ~ spl8_21
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f731,f717,f432,f750]) ).
tff(f750,plain,
( spl8_40
<=> $less(sK2,$sum(sK2,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).
tff(f731,plain,
( $less(sK2,$sum(sK2,1))
| ~ spl8_21
| ~ spl8_36 ),
inference(backward_demodulation,[],[f433,f719]) ).
tff(f748,plain,
( spl8_39
| ~ spl8_22
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f732,f717,f439,f745]) ).
tff(f732,plain,
( $less(sK2,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ spl8_22
| ~ spl8_36 ),
inference(backward_demodulation,[],[f441,f719]) ).
tff(f743,plain,
( ~ spl8_38
| spl8_13
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f730,f717,f397,f740]) ).
tff(f740,plain,
( spl8_38
<=> ( sK2 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
tff(f397,plain,
( spl8_13
<=> ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
tff(f730,plain,
( ( sK2 != $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| spl8_13
| ~ spl8_36 ),
inference(backward_demodulation,[],[f398,f719]) ).
tff(f398,plain,
( ( sK7 != $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| spl8_13 ),
inference(avatar_component_clause,[],[f397]) ).
tff(f726,plain,
( spl8_36
| spl8_37
| spl8_10 ),
inference(avatar_split_clause,[],[f705,f383,f721,f717]) ).
tff(f705,plain,
( $less(sK2,sK7)
| ( sK7 = sK2 )
| spl8_10 ),
inference(resolution,[],[f60,f384]) ).
tff(f725,plain,
( spl8_34
| spl8_35
| spl8_32 ),
inference(avatar_split_clause,[],[f699,f677,f712,f708]) ).
tff(f699,plain,
( ( 0 = sK1(sK3) )
| $less(0,sK1(sK3))
| spl8_32 ),
inference(resolution,[],[f60,f679]) ).
tff(f724,plain,
( spl8_36
| spl8_37
| spl8_10 ),
inference(avatar_split_clause,[],[f700,f383,f721,f717]) ).
tff(f700,plain,
( $less(sK2,sK7)
| ( sK7 = sK2 )
| spl8_10 ),
inference(resolution,[],[f60,f384]) ).
tff(f715,plain,
( spl8_34
| spl8_35
| spl8_32 ),
inference(avatar_split_clause,[],[f704,f677,f712,f708]) ).
tff(f704,plain,
( ( 0 = sK1(sK3) )
| $less(0,sK1(sK3))
| spl8_32 ),
inference(resolution,[],[f60,f679]) ).
tff(f687,plain,
( spl8_33
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f682,f428,f684]) ).
tff(f680,plain,
( ~ spl8_32
| spl8_18 ),
inference(avatar_split_clause,[],[f663,f420,f677]) ).
tff(f663,plain,
( ~ $less(sK1(sK3),0)
| spl8_18 ),
inference(resolution,[],[f198,f421]) ).
tff(f675,plain,
( ~ spl8_31
| spl8_6 ),
inference(avatar_split_clause,[],[f665,f367,f672]) ).
tff(f665,plain,
( ~ $less(sK1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))),0)
| spl8_6 ),
inference(resolution,[],[f198,f369]) ).
tff(f670,plain,
( ~ spl8_30
| spl8_17 ),
inference(avatar_split_clause,[],[f664,f415,f667]) ).
tff(f664,plain,
( ~ $less(sK1(tb2t1(nil(int))),0)
| spl8_17 ),
inference(resolution,[],[f198,f417]) ).
tff(f656,plain,
( spl8_28
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f655,f406,f639]) ).
tff(f654,plain,
( spl8_27
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f653,f347,f632]) ).
tff(f652,plain,
( ~ spl8_29
| spl8_9 ),
inference(avatar_split_clause,[],[f647,f379,f649]) ).
tff(f646,plain,
( ~ spl8_24
| spl8_16 ),
inference(avatar_split_clause,[],[f645,f411,f465]) ).
tff(f465,plain,
( spl8_24
<=> ( $sum(sK2,0) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
tff(f411,plain,
( spl8_16
<=> ( $sum(sK2,length1(int,nil(int))) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
tff(f645,plain,
( ( $sum(sK2,0) != sK2 )
| spl8_16 ),
inference(forward_demodulation,[],[f413,f323]) ).
tff(f413,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| spl8_16 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f642,plain,
( ~ spl8_28
| spl8_15 ),
inference(avatar_split_clause,[],[f637,f406,f639]) ).
tff(f635,plain,
( ~ spl8_27
| spl8_1 ),
inference(avatar_split_clause,[],[f630,f347,f632]) ).
tff(f629,plain,
( ~ spl8_26
| spl8_11 ),
inference(avatar_split_clause,[],[f624,f388,f626]) ).
tff(f623,plain,
( spl8_2
| ~ spl8_23
| spl8_13
| spl8_19
| ~ spl8_21
| ~ spl8_4
| spl8_5
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f622,f355,f363,f359,f432,f424,f397,f459,f351]) ).
tff(f459,plain,
( spl8_23
<=> $less(sK2,$sum(sK2,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
tff(f363,plain,
( spl8_5
<=> $less(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
tff(f622,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ~ $less(sK7,$sum(sK2,1))
| ( 0 = sK4 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f207,f323]) ).
tff(f207,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ $less(sK7,$sum(sK2,1)) ),
inference(cnf_transformation,[],[f152]) ).
tff(f152,plain,
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2) )
& ( 0 = sK4 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
& ( sK6 != sK3 ) )
| ( ( $less(sK7,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) )
& ( ( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
& $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
& ~ $less(sK7,$sum(sK2,1)) )
| ( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
& no_zero1(sK3) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ) )
& ( 0 != sK4 ) )
| ( ( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) )
& ( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f147,f151,f150,f149,f148]) ).
tff(f148,plain,
( ? [X0: $int] :
( ? [X1: list_int,X2: $int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))))
| ( $sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X0 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X0,$uminus(X0)))
| ~ $less(X0,$sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))))
| $less(X0,X0) )
& ( 0 = X2 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
| ? [X3: $int,X4: list_int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
& ( X1 != X4 ) )
| ? [X5: $int] :
( ( $less(X5,X0)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X5,$uminus(X0)))
| ~ $less(X5,$sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1))))) )
& ( ( zero_at1(X1,$sum(X5,$uminus($sum(X0,1))))
& $less(X5,$sum($sum(X0,1),length1(int,t2tb1(X1))))
& ~ $less(X5,$sum(X0,1)) )
| ( ( $sum($sum(X0,1),length1(int,t2tb1(X1))) = X5 )
& no_zero1(X1) ) )
& ( ( $sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1)))) ) ) )
& ( 0 != X2 ) ) )
| ( ( $less(X0,X0)
| ~ $less(X0,$sum(X0,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))) )
& ( ( $sum(X0,length1(int,nil(int))) != X0 )
| ~ no_zero1(tb2t1(nil(int))) ) ) )
=> ( ? [X2: $int,X1: list_int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != sK2 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))))
| $less(sK2,sK2) )
& ( 0 = X2 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
| ? [X3: $int,X4: list_int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
& ( X1 != X4 ) )
| ? [X5: $int] :
( ( $less(X5,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X5,$uminus(sK2)))
| ~ $less(X5,$sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1))))) )
& ( ( zero_at1(X1,$sum(X5,$uminus($sum(sK2,1))))
& $less(X5,$sum($sum(sK2,1),length1(int,t2tb1(X1))))
& ~ $less(X5,$sum(sK2,1)) )
| ( ( $sum($sum(sK2,1),length1(int,t2tb1(X1))) = X5 )
& no_zero1(X1) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1)))) ) ) )
& ( 0 != X2 ) ) )
| ( ( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) )
& ( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int))) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f149,plain,
( ? [X2: $int,X1: list_int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != sK2 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))))
| $less(sK2,sK2) )
& ( 0 = X2 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
| ? [X3: $int,X4: list_int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
& ( X1 != X4 ) )
| ? [X5: $int] :
( ( $less(X5,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X5,$uminus(sK2)))
| ~ $less(X5,$sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1))))) )
& ( ( zero_at1(X1,$sum(X5,$uminus($sum(sK2,1))))
& $less(X5,$sum($sum(sK2,1),length1(int,t2tb1(X1))))
& ~ $less(X5,$sum(sK2,1)) )
| ( ( $sum($sum(sK2,1),length1(int,t2tb1(X1))) = X5 )
& no_zero1(X1) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1)))) ) ) )
& ( 0 != X2 ) ) )
=> ( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2) )
& ( 0 = sK4 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ? [X4: list_int,X3: $int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
& ( sK3 != X4 ) )
| ? [X5: $int] :
( ( $less(X5,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(X5,$uminus(sK2)))
| ~ $less(X5,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) )
& ( ( zero_at1(sK3,$sum(X5,$uminus($sum(sK2,1))))
& $less(X5,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
& ~ $less(X5,$sum(sK2,1)) )
| ( ( $sum($sum(sK2,1),length1(int,t2tb1(sK3))) = X5 )
& no_zero1(sK3) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ) )
& ( 0 != sK4 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f150,plain,
( ? [X4: list_int,X3: $int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
& ( sK3 != X4 ) )
=> ( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
& ( sK6 != sK3 ) ) ),
introduced(choice_axiom,[]) ).
tff(f151,plain,
( ? [X5: $int] :
( ( $less(X5,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(X5,$uminus(sK2)))
| ~ $less(X5,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) )
& ( ( zero_at1(sK3,$sum(X5,$uminus($sum(sK2,1))))
& $less(X5,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
& ~ $less(X5,$sum(sK2,1)) )
| ( ( $sum($sum(sK2,1),length1(int,t2tb1(sK3))) = X5 )
& no_zero1(sK3) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) )
=> ( ( $less(sK7,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) )
& ( ( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
& $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
& ~ $less(sK7,$sum(sK2,1)) )
| ( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
& no_zero1(sK3) ) )
& ( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f147,plain,
? [X0: $int] :
( ? [X1: list_int,X2: $int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))))
| ( $sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X0 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X0,$uminus(X0)))
| ~ $less(X0,$sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))))
| $less(X0,X0) )
& ( 0 = X2 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
| ? [X3: $int,X4: list_int] :
( ( tb2t1(cons(int,t2tb2(X3),t2tb1(X4))) = tb2t1(cons(int,t2tb2(X2),t2tb1(X1))) )
& ( X1 != X4 ) )
| ? [X5: $int] :
( ( $less(X5,X0)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1))),$sum(X5,$uminus(X0)))
| ~ $less(X5,$sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1))))) )
& ( ( zero_at1(X1,$sum(X5,$uminus($sum(X0,1))))
& $less(X5,$sum($sum(X0,1),length1(int,t2tb1(X1))))
& ~ $less(X5,$sum(X0,1)) )
| ( ( $sum($sum(X0,1),length1(int,t2tb1(X1))) = X5 )
& no_zero1(X1) ) )
& ( ( $sum(X0,length1(int,cons(int,t2tb2(X2),t2tb1(X1)))) != X5 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X2),t2tb1(X1)))) ) ) )
& ( 0 != X2 ) ) )
| ( ( $less(X0,X0)
| ~ $less(X0,$sum(X0,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))) )
& ( ( $sum(X0,length1(int,nil(int))) != X0 )
| ~ no_zero1(tb2t1(nil(int))) ) ) ),
inference(rectify,[],[f116]) ).
tff(f116,plain,
? [X0: $int] :
( ? [X2: list_int,X1: $int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))
| ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0)))
| ~ $less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
| $less(X0,X0) )
& ( 0 = X1 ) )
| ( ( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) )
| ? [X4: $int,X5: list_int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) )
& ( X2 != X5 ) )
| ? [X3: $int] :
( ( $less(X3,X0)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))
| ~ $less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) )
& ( ( zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))
& $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2))))
& ~ $less(X3,$sum(X0,1)) )
| ( ( $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3 )
& no_zero1(X2) ) )
& ( ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) ) ) )
& ( 0 != X1 ) ) )
| ( ( $less(X0,X0)
| ~ $less(X0,$sum(X0,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))) )
& ( ( $sum(X0,length1(int,nil(int))) != X0 )
| ~ no_zero1(tb2t1(nil(int))) ) ) ),
inference(flattening,[],[f115]) ).
tff(f115,plain,
? [X0: $int] :
( ( ( $less(X0,X0)
| ~ $less(X0,$sum(X0,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))) )
& ( ( $sum(X0,length1(int,nil(int))) != X0 )
| ~ no_zero1(tb2t1(nil(int))) ) )
| ? [X1: $int,X2: list_int] :
( ( ( ~ no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))
| ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0 ) )
& ( ~ zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0)))
| ~ $less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
| $less(X0,X0) )
& ( 0 = X1 ) )
| ( ( ? [X3: $int] :
( ( $less(X3,X0)
| ~ zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))
| ~ $less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) )
& ( ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
& ( ( zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))
& $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2))))
& ~ $less(X3,$sum(X0,1)) )
| ( ( $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3 )
& no_zero1(X2) ) ) )
| ? [X4: $int,X5: list_int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) )
& ( X2 != X5 ) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) ) )
& ( 0 != X1 ) ) ) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,plain,
~ ! [X0: $int] :
( ( ( ( $sum(X0,length1(int,nil(int))) = X0 )
& no_zero1(tb2t1(nil(int))) )
| ( zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0)))
& $less(X0,$sum(X0,length1(int,nil(int))))
& ~ $less(X0,X0) ) )
& ! [X1: $int,X2: list_int] :
( ( ( 0 = X1 )
=> ( ( no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))
& ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X0 ) )
| ( zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0)))
& ~ $less(X0,X0)
& $less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) ) ) )
& ( ( 0 != X1 )
=> ( ! [X3: $int] :
( ( ( zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))
& $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2))))
& ~ $less(X3,$sum(X0,1)) )
| ( ( $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3 )
& no_zero1(X2) ) )
=> ( ( zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))
& $less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
& ~ $less(X3,X0) )
| ( no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))
& ( $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X3 ) ) ) )
& ! [X5: list_int,X4: $int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) )
=> ( X2 = X5 ) )
& ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) ) ) ) ) ),
inference(rectify,[],[f51]) ).
tff(f51,plain,
~ ! [X14: $int] :
( ( ( no_zero1(tb2t1(nil(int)))
& ( $sum(X14,length1(int,nil(int))) = X14 ) )
| ( zero_at1(tb2t1(nil(int)),$sum(X14,$uminus(X14)))
& ~ $less(X14,X14)
& $less(X14,$sum(X14,length1(int,nil(int)))) ) )
& ! [X1: $int,X2: list_int] :
( ( ( 0 = X1 )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X14 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X14,$uminus(X14)))
& ~ $less(X14,X14)
& $less(X14,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) ) ) )
& ( ( 0 != X1 )
=> ( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) )
& ! [X17: $int] :
( ( ( no_zero1(X2)
& ( $sum($sum(X14,1),length1(int,t2tb1(X2))) = X17 ) )
| ( $less(X17,$sum($sum(X14,1),length1(int,t2tb1(X2))))
& ~ $less(X17,$sum(X14,1))
& zero_at1(X2,$sum(X17,$uminus($sum(X14,1)))) ) )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X17 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( $less(X17,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
& zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X17,$uminus(X14)))
& ~ $less(X17,X14) ) ) )
& ! [X3: $int,X16: list_int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X3),t2tb1(X16))) )
=> ( X2 = X16 ) ) ) ) ) ),
inference(theory_normalization,[],[f46]) ).
tff(f46,negated_conjecture,
~ ! [X14: $int] :
( ( ( no_zero1(tb2t1(nil(int)))
& ( $sum(X14,length1(int,nil(int))) = X14 ) )
| ( zero_at1(tb2t1(nil(int)),$difference(X14,X14))
& $lesseq(X14,X14)
& $less(X14,$sum(X14,length1(int,nil(int)))) ) )
& ! [X1: $int,X2: list_int] :
( ( ( 0 = X1 )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X14 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$difference(X14,X14))
& $lesseq(X14,X14)
& $less(X14,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) ) ) )
& ( ( 0 != X1 )
=> ( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) )
& ! [X17: $int] :
( ( ( no_zero1(X2)
& ( $sum($sum(X14,1),length1(int,t2tb1(X2))) = X17 ) )
| ( $less(X17,$sum($sum(X14,1),length1(int,t2tb1(X2))))
& $lesseq($sum(X14,1),X17)
& zero_at1(X2,$difference(X17,$sum(X14,1))) ) )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X17 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( $less(X17,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
& zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$difference(X17,X14))
& $lesseq(X14,X17) ) ) )
& ! [X3: $int,X16: list_int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X3),t2tb1(X16))) )
=> ( X2 = X16 ) ) ) ) ) ),
inference(negated_conjecture,[],[f45]) ).
tff(f45,conjecture,
! [X14: $int] :
( ( ( no_zero1(tb2t1(nil(int)))
& ( $sum(X14,length1(int,nil(int))) = X14 ) )
| ( zero_at1(tb2t1(nil(int)),$difference(X14,X14))
& $lesseq(X14,X14)
& $less(X14,$sum(X14,length1(int,nil(int)))) ) )
& ! [X1: $int,X2: list_int] :
( ( ( 0 = X1 )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X14 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$difference(X14,X14))
& $lesseq(X14,X14)
& $less(X14,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) ) ) )
& ( ( 0 != X1 )
=> ( ( tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) )
& ! [X17: $int] :
( ( ( no_zero1(X2)
& ( $sum($sum(X14,1),length1(int,t2tb1(X2))) = X17 ) )
| ( $less(X17,$sum($sum(X14,1),length1(int,t2tb1(X2))))
& $lesseq($sum(X14,1),X17)
& zero_at1(X2,$difference(X17,$sum(X14,1))) ) )
=> ( ( ( $sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X17 )
& no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) )
| ( $less(X17,$sum(X14,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))))
& zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$difference(X17,X14))
& $lesseq(X14,X17) ) ) )
& ! [X3: $int,X16: list_int] :
( ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X3),t2tb1(X16))) )
=> ( X2 = X16 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search) ).
tff(f621,plain,
( spl8_19
| ~ spl8_24
| ~ spl8_4
| spl8_22
| spl8_18
| spl8_2
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f620,f415,f351,f420,f439,f359,f465,f424]) ).
tff(f620,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK6 != sK3 )
| ( $sum(sK2,0) != sK2 )
| ( 0 = sK4 ) ),
inference(forward_demodulation,[],[f208,f323]) ).
tff(f208,plain,
( ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3)
| ( 0 = sK4 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f619,plain,
( spl8_2
| spl8_12
| ~ spl8_17
| ~ spl8_24
| spl8_20
| spl8_19
| spl8_13 ),
inference(avatar_split_clause,[],[f618,f397,f424,f428,f465,f415,f393,f351]) ).
tff(f618,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( 0 = sK4 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f230,f323]) ).
tff(f230,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f617,plain,
( ~ spl8_3
| spl8_2
| ~ spl8_23
| spl8_19
| ~ spl8_11
| spl8_5
| ~ spl8_6
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f616,f359,f367,f363,f388,f424,f459,f351,f355]) ).
tff(f616,plain,
( ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( 0 = sK4 )
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f203,f323]) ).
tff(f203,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f615,plain,
( ~ spl8_6
| ~ spl8_3
| ~ spl8_23
| spl8_5
| ~ spl8_11
| ~ spl8_9
| spl8_20
| spl8_2 ),
inference(avatar_split_clause,[],[f614,f351,f428,f379,f388,f363,f459,f355,f367]) ).
tff(f614,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f324,f323]) ).
tff(f324,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(duplicate_literal_removal,[],[f287]) ).
tff(f287,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| $less(sK2,sK2)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f613,plain,
( ~ spl8_4
| spl8_19
| ~ spl8_3
| ~ spl8_23
| spl8_2
| spl8_18
| spl8_5
| spl8_12 ),
inference(avatar_split_clause,[],[f612,f393,f363,f420,f351,f459,f355,f424,f359]) ).
tff(f612,plain,
( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 = sK4 )
| ( sK6 != sK3 ) ),
inference(forward_demodulation,[],[f213,f323]) ).
tff(f213,plain,
( no_zero1(sK3)
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( sK6 != sK3 )
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f611,plain,
( spl8_2
| spl8_18
| ~ spl8_6
| ~ spl8_9
| ~ spl8_23
| spl8_12
| ~ spl8_4
| ~ spl8_3
| spl8_5 ),
inference(avatar_split_clause,[],[f610,f363,f355,f359,f393,f459,f379,f367,f420,f351]) ).
tff(f610,plain,
( $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,0))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f281,f323]) ).
tff(f281,plain,
( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f609,plain,
( ~ spl8_6
| ~ spl8_7
| ~ spl8_24
| ~ spl8_17
| spl8_10
| spl8_2
| spl8_20
| ~ spl8_1
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f608,f379,f347,f428,f351,f383,f415,f465,f371,f367]) ).
tff(f608,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,sK2)
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,0) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f300,f323]) ).
tff(f300,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| $less(sK7,sK2)
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f607,plain,
( ~ spl8_3
| ~ spl8_7
| ~ spl8_15
| ~ spl8_23
| spl8_2
| ~ spl8_4
| ~ spl8_1
| spl8_10
| spl8_5
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f606,f402,f363,f383,f347,f359,f351,f459,f406,f371,f355]) ).
tff(f606,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| $less(sK7,sK2)
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,0))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f325,f323]) ).
tff(f325,plain,
( $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK7,sK2)
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(duplicate_literal_removal,[],[f251]) ).
tff(f251,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| $less(sK7,sK2)
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f605,plain,
( spl8_13
| spl8_20
| ~ spl8_14
| ~ spl8_15
| ~ spl8_3
| spl8_2
| ~ spl8_23
| spl8_5
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f604,f432,f363,f459,f351,f355,f406,f402,f428,f397]) ).
tff(f604,plain,
( ~ $less(sK7,$sum(sK2,1))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f326,f323]) ).
tff(f326,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ $less(sK7,$sum(sK2,1))
| $less(sK2,sK2) ),
inference(duplicate_literal_removal,[],[f257]) ).
tff(f257,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f603,plain,
( ~ spl8_3
| spl8_12
| spl8_2
| spl8_20
| spl8_13
| spl8_5
| spl8_19
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f602,f459,f424,f363,f397,f428,f351,f393,f355]) ).
tff(f602,plain,
( ~ $less(sK2,$sum(sK2,0))
| ( 0 = sK4 )
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f231,f323]) ).
tff(f231,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f601,plain,
( ~ spl8_14
| ~ spl8_17
| spl8_20
| ~ spl8_15
| spl8_12
| spl8_2
| spl8_5
| ~ spl8_24
| spl8_13 ),
inference(avatar_split_clause,[],[f600,f397,f465,f363,f351,f393,f406,f428,f415,f402]) ).
tff(f600,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( $sum(sK2,0) != sK2 )
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f264,f323]) ).
tff(f264,plain,
( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f599,plain,
( ~ spl8_17
| spl8_5
| spl8_18
| spl8_12
| ~ spl8_24
| ~ spl8_4
| ~ spl8_14
| ~ spl8_15
| spl8_2 ),
inference(avatar_split_clause,[],[f598,f351,f406,f402,f359,f465,f393,f420,f363,f415]) ).
tff(f598,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ( $sum(sK2,0) != sK2 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| no_zero1(sK3)
| $less(sK2,sK2)
| ~ no_zero1(tb2t1(nil(int))) ),
inference(forward_demodulation,[],[f246,f323]) ).
tff(f246,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| no_zero1(sK3)
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( sK6 != sK3 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f597,plain,
( ~ spl8_9
| spl8_18
| spl8_20
| spl8_2
| ~ spl8_21
| ~ spl8_17
| ~ spl8_6
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f596,f465,f367,f415,f432,f351,f428,f420,f379]) ).
tff(f596,plain,
( ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ no_zero1(tb2t1(nil(int)))
| ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| no_zero1(sK3)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(forward_demodulation,[],[f288,f323]) ).
tff(f288,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| no_zero1(sK3)
| ~ $less(sK7,$sum(sK2,1)) ),
inference(cnf_transformation,[],[f152]) ).
tff(f595,plain,
( spl8_18
| ~ spl8_3
| spl8_2
| ~ spl8_15
| spl8_5
| spl8_12
| ~ spl8_23
| ~ spl8_4
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f594,f402,f359,f459,f393,f363,f406,f351,f355,f420]) ).
tff(f594,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,0))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3) ),
inference(forward_demodulation,[],[f327,f323]) ).
tff(f327,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| $less(sK2,sK2)
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(duplicate_literal_removal,[],[f247]) ).
tff(f247,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f593,plain,
( spl8_2
| ~ spl8_14
| spl8_13
| ~ spl8_3
| ~ spl8_23
| ~ spl8_21
| spl8_5
| ~ spl8_4
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f592,f406,f359,f363,f432,f459,f355,f397,f402,f351]) ).
tff(f592,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f328,f323]) ).
tff(f328,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,1))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2) ),
inference(duplicate_literal_removal,[],[f241]) ).
tff(f241,plain,
( ~ $less(sK7,$sum(sK2,1))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ( sK6 != sK3 )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f591,plain,
( ~ spl8_23
| spl8_19
| spl8_10
| ~ spl8_7
| spl8_5
| ~ spl8_1
| ~ spl8_4
| ~ spl8_3
| spl8_2 ),
inference(avatar_split_clause,[],[f590,f351,f355,f359,f347,f363,f371,f383,f424,f459]) ).
tff(f590,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| $less(sK7,sK2)
| ( 0 = sK4 )
| ~ $less(sK2,$sum(sK2,0)) ),
inference(forward_demodulation,[],[f217,f323]) ).
tff(f217,plain,
( $less(sK2,sK2)
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ( 0 = sK4 )
| $less(sK7,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f589,plain,
( spl8_18
| ~ spl8_17
| spl8_2
| spl8_22
| ~ spl8_24
| ~ spl8_6
| ~ spl8_4
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f588,f379,f359,f367,f465,f439,f351,f415,f420]) ).
tff(f588,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,0) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3) ),
inference(forward_demodulation,[],[f276,f323]) ).
tff(f276,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| no_zero1(sK3)
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f587,plain,
( ~ spl8_21
| spl8_2
| spl8_5
| spl8_18
| ~ spl8_24
| ~ spl8_4
| ~ spl8_17
| ~ spl8_15
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f586,f402,f406,f415,f359,f465,f420,f363,f351,f432]) ).
tff(f586,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( $sum(sK2,0) != sK2 )
| no_zero1(sK3)
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1)) ),
inference(forward_demodulation,[],[f238,f323]) ).
tff(f238,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ $less(sK7,$sum(sK2,1)) ),
inference(cnf_transformation,[],[f152]) ).
tff(f585,plain,
( spl8_2
| spl8_22
| ~ spl8_6
| spl8_5
| spl8_13
| ~ spl8_9
| ~ spl8_3
| ~ spl8_23
| spl8_20 ),
inference(avatar_split_clause,[],[f584,f428,f459,f355,f379,f397,f363,f367,f439,f351]) ).
tff(f584,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f295,f323]) ).
tff(f295,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f583,plain,
( spl8_19
| ~ spl8_4
| ~ spl8_17
| ~ spl8_24
| spl8_13
| spl8_12
| spl8_2 ),
inference(avatar_split_clause,[],[f582,f351,f393,f397,f465,f415,f359,f424]) ).
tff(f582,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( 0 = sK4 ) ),
inference(forward_demodulation,[],[f214,f323]) ).
tff(f214,plain,
( ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f581,plain,
( ~ spl8_7
| ~ spl8_17
| spl8_20
| ~ spl8_1
| spl8_10
| spl8_2
| spl8_19
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f580,f465,f424,f351,f383,f347,f428,f415,f371]) ).
tff(f580,plain,
( ( $sum(sK2,0) != sK2 )
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,sK2)
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(forward_demodulation,[],[f232,f323]) ).
tff(f232,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f579,plain,
( spl8_12
| spl8_2
| spl8_13
| ~ spl8_3
| ~ spl8_4
| spl8_19
| spl8_5
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f578,f459,f363,f424,f359,f355,f397,f351,f393]) ).
tff(f578,plain,
( ~ $less(sK2,$sum(sK2,0))
| $less(sK2,sK2)
| ( 0 = sK4 )
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(forward_demodulation,[],[f215,f323]) ).
tff(f215,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| $less(sK2,sK2)
| ( sK6 != sK3 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f577,plain,
( ~ spl8_3
| ~ spl8_14
| spl8_13
| spl8_5
| spl8_12
| ~ spl8_15
| spl8_20
| spl8_2
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f576,f459,f351,f428,f406,f393,f363,f397,f402,f355]) ).
tff(f576,plain,
( ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f329,f323]) ).
tff(f329,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(duplicate_literal_removal,[],[f265]) ).
tff(f265,plain,
( ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f575,plain,
( ~ spl8_14
| spl8_5
| spl8_2
| ~ spl8_15
| ~ spl8_24
| ~ spl8_17
| ~ spl8_11
| spl8_20
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f574,f367,f428,f388,f415,f465,f406,f351,f363,f402]) ).
tff(f574,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,0) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f252,f323]) ).
tff(f252,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f573,plain,
( ~ spl8_3
| spl8_18
| ~ spl8_6
| ~ spl8_9
| spl8_22
| spl8_2
| ~ spl8_23
| spl8_20
| spl8_5 ),
inference(avatar_split_clause,[],[f572,f363,f428,f459,f351,f439,f379,f367,f420,f355]) ).
tff(f572,plain,
( $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| no_zero1(sK3)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f293,f323]) ).
tff(f293,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f571,plain,
( spl8_2
| ~ spl8_9
| spl8_5
| ~ spl8_3
| ~ spl8_6
| spl8_20
| ~ spl8_23
| ~ spl8_7
| spl8_10
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f570,f347,f383,f371,f459,f428,f367,f355,f363,f379,f351]) ).
tff(f570,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f301,f323]) ).
tff(f301,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK7,sK2)
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f569,plain,
( spl8_12
| ~ spl8_3
| spl8_2
| spl8_5
| spl8_18
| ~ spl8_23
| spl8_20
| spl8_19 ),
inference(avatar_split_clause,[],[f568,f424,f428,f459,f420,f363,f351,f355,f393]) ).
tff(f568,plain,
( ( 0 = sK4 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,0))
| no_zero1(sK3)
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(forward_demodulation,[],[f229,f323]) ).
tff(f229,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f567,plain,
( ~ spl8_6
| ~ spl8_9
| spl8_2
| ~ spl8_24
| spl8_10
| ~ spl8_1
| ~ spl8_7
| ~ spl8_4
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f566,f415,f359,f371,f347,f383,f465,f351,f379,f367]) ).
tff(f566,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ( $sum(sK2,0) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f284,f323]) ).
tff(f284,plain,
( ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| $less(sK7,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f565,plain,
( ~ spl8_23
| ~ spl8_4
| spl8_2
| spl8_22
| spl8_19
| ~ spl8_3
| spl8_5
| spl8_13 ),
inference(avatar_split_clause,[],[f564,f397,f363,f355,f424,f439,f351,f359,f459]) ).
tff(f564,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 = sK4 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,0)) ),
inference(forward_demodulation,[],[f211,f323]) ).
tff(f211,plain,
( ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f563,plain,
( ~ spl8_14
| ~ spl8_3
| spl8_18
| spl8_5
| ~ spl8_23
| ~ spl8_21
| spl8_2
| ~ spl8_15
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f562,f359,f406,f351,f432,f459,f363,f420,f355,f402]) ).
tff(f562,plain,
( ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,0))
| $less(sK2,sK2)
| no_zero1(sK3)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f330,f323]) ).
tff(f330,plain,
( ~ $less(sK7,$sum(sK2,1))
| no_zero1(sK3)
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(duplicate_literal_removal,[],[f239]) ).
tff(f239,plain,
( ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| no_zero1(sK3)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f561,plain,
( ~ spl8_4
| spl8_2
| spl8_5
| ~ spl8_9
| ~ spl8_3
| ~ spl8_6
| ~ spl8_23
| spl8_13
| spl8_22 ),
inference(avatar_split_clause,[],[f560,f439,f397,f459,f367,f355,f379,f363,f351,f359]) ).
tff(f560,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,0))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 ) ),
inference(forward_demodulation,[],[f279,f323]) ).
tff(f279,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f559,plain,
( ~ spl8_24
| spl8_19
| ~ spl8_21
| spl8_13
| spl8_2
| ~ spl8_17
| spl8_20 ),
inference(avatar_split_clause,[],[f558,f428,f415,f351,f397,f432,f424,f465]) ).
tff(f558,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ( 0 = sK4 )
| ( $sum(sK2,0) != sK2 ) ),
inference(forward_demodulation,[],[f222,f323]) ).
tff(f222,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ $less(sK7,$sum(sK2,1))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f557,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_4
| ~ spl8_15
| ~ spl8_24
| spl8_5
| ~ spl8_17
| ~ spl8_21
| spl8_13 ),
inference(avatar_split_clause,[],[f556,f397,f432,f415,f363,f465,f406,f359,f402,f351]) ).
tff(f556,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK2,sK2)
| ( $sum(sK2,0) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f240,f323]) ).
tff(f240,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK7,$sum(sK2,1))
| ( sK6 != sK3 )
| $less(sK2,sK2)
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f555,plain,
( ~ spl8_9
| ~ spl8_17
| ~ spl8_4
| ~ spl8_6
| spl8_2
| ~ spl8_24
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f554,f388,f465,f351,f367,f359,f415,f379]) ).
tff(f554,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( $sum(sK2,0) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(forward_demodulation,[],[f331,f323]) ).
tff(f331,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(duplicate_literal_removal,[],[f270]) ).
tff(f270,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK6 != sK3 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f553,plain,
( spl8_19
| ~ spl8_24
| ~ spl8_4
| ~ spl8_17
| ~ spl8_21
| spl8_2
| spl8_18 ),
inference(avatar_split_clause,[],[f552,f420,f351,f432,f415,f359,f465,f424]) ).
tff(f552,plain,
( no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( $sum(sK2,0) != sK2 )
| ( 0 = sK4 ) ),
inference(forward_demodulation,[],[f204,f323]) ).
tff(f204,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| no_zero1(sK3)
| ( sK6 != sK3 )
| ~ $less(sK7,$sum(sK2,1))
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f551,plain,
( spl8_2
| spl8_18
| ~ spl8_14
| spl8_5
| spl8_20
| spl8_22
| ~ spl8_17
| ~ spl8_15
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f550,f465,f406,f415,f439,f428,f363,f402,f420,f351]) ).
tff(f550,plain,
( ( $sum(sK2,0) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f258,f323]) ).
tff(f258,plain,
( ~ no_zero1(tb2t1(nil(int)))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f549,plain,
( ~ spl8_3
| ~ spl8_9
| spl8_2
| ~ spl8_23
| spl8_13
| ~ spl8_6
| ~ spl8_4
| ~ spl8_21
| spl8_5 ),
inference(avatar_split_clause,[],[f548,f363,f432,f359,f367,f397,f459,f351,f379,f355]) ).
tff(f548,plain,
( $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f275,f323]) ).
tff(f275,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f547,plain,
( spl8_18
| spl8_19
| ~ spl8_3
| spl8_22
| ~ spl8_23
| spl8_5
| spl8_2
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f546,f359,f351,f363,f459,f439,f355,f424,f420]) ).
tff(f546,plain,
( ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,0))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 = sK4 )
| no_zero1(sK3) ),
inference(forward_demodulation,[],[f209,f323]) ).
tff(f209,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( 0 = sK4 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f545,plain,
( ~ spl8_4
| spl8_13
| ~ spl8_3
| ~ spl8_15
| spl8_2
| spl8_5
| ~ spl8_23
| ~ spl8_14
| spl8_22 ),
inference(avatar_split_clause,[],[f544,f439,f402,f459,f363,f351,f406,f355,f397,f359]) ).
tff(f544,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,0))
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( sK6 != sK3 ) ),
inference(forward_demodulation,[],[f332,f323]) ).
tff(f332,plain,
( $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(duplicate_literal_removal,[],[f245]) ).
tff(f245,plain,
( ( sK6 != sK3 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2)
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f543,plain,
( ~ spl8_11
| ~ spl8_3
| spl8_2
| ~ spl8_23
| spl8_19
| spl8_20
| ~ spl8_6
| spl8_5 ),
inference(avatar_split_clause,[],[f542,f363,f367,f428,f424,f459,f351,f355,f388]) ).
tff(f542,plain,
( $less(sK2,sK2)
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( 0 = sK4 )
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 ) ),
inference(forward_demodulation,[],[f219,f323]) ).
tff(f219,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f541,plain,
( ~ spl8_6
| ~ spl8_9
| ~ spl8_4
| ~ spl8_23
| spl8_22
| spl8_5
| spl8_18
| ~ spl8_3
| spl8_2 ),
inference(avatar_split_clause,[],[f540,f351,f355,f420,f363,f439,f459,f359,f379,f367]) ).
tff(f540,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3)
| $less(sK2,sK2)
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,0))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f277,f323]) ).
tff(f277,plain,
( ( sK6 != sK3 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| no_zero1(sK3) ),
inference(cnf_transformation,[],[f152]) ).
tff(f539,plain,
( ~ spl8_6
| ~ spl8_17
| ~ spl8_19
| ~ spl8_24
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f538,f379,f465,f424,f415,f367]) ).
tff(f538,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,0) != sK2 )
| ( 0 != sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f268,f323]) ).
tff(f268,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( 0 != sK4 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f537,plain,
( spl8_13
| spl8_20
| spl8_5
| ~ spl8_6
| ~ spl8_3
| ~ spl8_21
| spl8_2
| ~ spl8_9
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f536,f459,f379,f351,f432,f355,f367,f363,f428,f397]) ).
tff(f536,plain,
( ~ $less(sK2,$sum(sK2,0))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f291,f323]) ).
tff(f291,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ $less(sK7,$sum(sK2,1))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f535,plain,
( ~ spl8_4
| spl8_13
| ~ spl8_3
| spl8_5
| ~ spl8_23
| ~ spl8_15
| spl8_12
| spl8_2
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f534,f402,f351,f393,f406,f459,f363,f355,f397,f359]) ).
tff(f534,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,0))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( sK6 != sK3 ) ),
inference(forward_demodulation,[],[f333,f323]) ).
tff(f333,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(duplicate_literal_removal,[],[f249]) ).
tff(f249,plain,
( ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2)
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f533,plain,
( ~ spl8_7
| ~ spl8_24
| spl8_5
| spl8_2
| spl8_20
| ~ spl8_15
| ~ spl8_17
| spl8_10
| ~ spl8_14
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f532,f347,f402,f383,f415,f406,f428,f351,f363,f465,f371]) ).
tff(f532,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,sK2)
| ~ no_zero1(tb2t1(nil(int)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ( $sum(sK2,0) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(forward_demodulation,[],[f266,f323]) ).
tff(f266,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(nil(int)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f531,plain,
( spl8_2
| ~ spl8_24
| ~ spl8_14
| spl8_13
| ~ spl8_17
| ~ spl8_15
| spl8_5
| spl8_20
| spl8_22 ),
inference(avatar_split_clause,[],[f530,f439,f428,f363,f406,f415,f397,f402,f465,f351]) ).
tff(f530,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,0) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f260,f323]) ).
tff(f260,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f529,plain,
( ~ spl8_21
| ~ spl8_24
| spl8_2
| ~ spl8_17
| spl8_20
| ~ spl8_9
| ~ spl8_6
| spl8_13 ),
inference(avatar_split_clause,[],[f528,f397,f367,f379,f428,f415,f351,f465,f432]) ).
tff(f528,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,0) != sK2 )
| ~ $less(sK7,$sum(sK2,1)) ),
inference(forward_demodulation,[],[f290,f323]) ).
tff(f290,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f527,plain,
( ~ spl8_9
| spl8_2
| spl8_18
| ~ spl8_4
| ~ spl8_17
| ~ spl8_21
| ~ spl8_24
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f526,f367,f465,f432,f415,f359,f420,f351,f379]) ).
tff(f526,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,0) != sK2 )
| ~ $less(sK7,$sum(sK2,1))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(forward_demodulation,[],[f272,f323]) ).
tff(f272,plain,
( ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| no_zero1(sK3)
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f525,plain,
( ~ spl8_6
| spl8_2
| ~ spl8_17
| ~ spl8_24
| ~ spl8_9
| ~ spl8_11
| spl8_20 ),
inference(avatar_split_clause,[],[f524,f428,f388,f379,f465,f415,f351,f367]) ).
tff(f524,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f334,f323]) ).
tff(f334,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 ) ),
inference(duplicate_literal_removal,[],[f286]) ).
tff(f286,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f523,plain,
( ~ spl8_14
| ~ spl8_23
| ~ spl8_3
| spl8_20
| spl8_2
| spl8_18
| ~ spl8_15
| spl8_5
| spl8_22 ),
inference(avatar_split_clause,[],[f522,f439,f363,f406,f420,f351,f428,f355,f459,f402]) ).
tff(f522,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f335,f323]) ).
tff(f335,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2) ),
inference(duplicate_literal_removal,[],[f259]) ).
tff(f259,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f521,plain,
( spl8_12
| ~ spl8_6
| spl8_2
| spl8_18
| ~ spl8_9
| spl8_20
| ~ spl8_3
| ~ spl8_23
| spl8_5 ),
inference(avatar_split_clause,[],[f520,f363,f459,f355,f428,f379,f420,f351,f367,f393]) ).
tff(f520,plain,
( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(forward_demodulation,[],[f297,f323]) ).
tff(f297,plain,
( no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f519,plain,
( ~ spl8_23
| ~ spl8_15
| spl8_18
| ~ spl8_14
| ~ spl8_21
| spl8_5
| ~ spl8_3
| spl8_20
| spl8_2 ),
inference(avatar_split_clause,[],[f518,f351,f428,f355,f363,f432,f402,f420,f406,f459]) ).
tff(f518,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,0)) ),
inference(forward_demodulation,[],[f336,f323]) ).
tff(f336,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ~ $less(sK7,$sum(sK2,1)) ),
inference(duplicate_literal_removal,[],[f255]) ).
tff(f255,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,1))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f517,plain,
( ~ spl8_7
| spl8_19
| spl8_20
| spl8_2
| ~ spl8_23
| ~ spl8_3
| ~ spl8_1
| spl8_5
| spl8_10 ),
inference(avatar_split_clause,[],[f516,f383,f363,f347,f355,f459,f351,f428,f424,f371]) ).
tff(f516,plain,
( $less(sK7,sK2)
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(forward_demodulation,[],[f233,f323]) ).
tff(f233,plain,
( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f515,plain,
( ~ spl8_6
| ~ spl8_19
| ~ spl8_9
| ~ spl8_23
| spl8_5
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f514,f355,f363,f459,f379,f424,f367]) ).
tff(f514,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,0))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( 0 != sK4 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f269,f323]) ).
tff(f269,plain,
( ( 0 != sK4 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f513,plain,
( ~ spl8_17
| spl8_20
| spl8_19
| spl8_2
| spl8_22
| ~ spl8_24
| spl8_18 ),
inference(avatar_split_clause,[],[f512,f420,f465,f439,f351,f424,f428,f415]) ).
tff(f512,plain,
( no_zero1(sK3)
| ( $sum(sK2,0) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(forward_demodulation,[],[f224,f323]) ).
tff(f224,plain,
( ( 0 = sK4 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3)
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f511,plain,
( ~ spl8_17
| ~ spl8_11
| ~ spl8_6
| ~ spl8_24
| spl8_2
| ~ spl8_4
| spl8_19 ),
inference(avatar_split_clause,[],[f510,f424,f359,f351,f465,f367,f388,f415]) ).
tff(f510,plain,
( ( 0 = sK4 )
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(forward_demodulation,[],[f202,f323]) ).
tff(f202,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f509,plain,
( ~ spl8_15
| ~ spl8_6
| ~ spl8_14
| ~ spl8_23
| spl8_20
| ~ spl8_11
| spl8_2
| ~ spl8_3
| spl8_5 ),
inference(avatar_split_clause,[],[f508,f363,f355,f351,f388,f428,f459,f402,f367,f406]) ).
tff(f508,plain,
( $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(forward_demodulation,[],[f338,f323]) ).
tff(f338,plain,
( $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(duplicate_literal_removal,[],[f253]) ).
tff(f253,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f507,plain,
( spl8_13
| ~ spl8_6
| spl8_2
| ~ spl8_4
| ~ spl8_17
| ~ spl8_9
| spl8_22
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f506,f465,f439,f379,f415,f359,f351,f367,f397]) ).
tff(f506,plain,
( ( $sum(sK2,0) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f278,f323]) ).
tff(f278,plain,
( ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f505,plain,
( ~ spl8_21
| ~ spl8_23
| ~ spl8_3
| spl8_13
| spl8_20
| spl8_5
| spl8_19
| spl8_2 ),
inference(avatar_split_clause,[],[f504,f351,f424,f363,f428,f397,f355,f459,f432]) ).
tff(f504,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,0))
| ~ $less(sK7,$sum(sK2,1)) ),
inference(forward_demodulation,[],[f223,f323]) ).
tff(f223,plain,
( $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 = sK4 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f503,plain,
( ~ spl8_17
| ~ spl8_4
| ~ spl8_24
| spl8_18
| spl8_22
| ~ spl8_15
| spl8_2
| ~ spl8_14
| spl8_5 ),
inference(avatar_split_clause,[],[f502,f363,f402,f351,f406,f439,f420,f465,f359,f415]) ).
tff(f502,plain,
( $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| no_zero1(sK3)
| ( $sum(sK2,0) != sK2 )
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(forward_demodulation,[],[f242,f323]) ).
tff(f242,plain,
( ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f501,plain,
( spl8_12
| ~ spl8_24
| ~ spl8_17
| spl8_19
| spl8_2
| ~ spl8_4
| spl8_18 ),
inference(avatar_split_clause,[],[f500,f420,f359,f351,f424,f415,f465,f393]) ).
tff(f500,plain,
( no_zero1(sK3)
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,0) != sK2 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(forward_demodulation,[],[f212,f323]) ).
tff(f212,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( sK6 != sK3 )
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f499,plain,
( ~ spl8_7
| spl8_5
| spl8_2
| ~ spl8_4
| ~ spl8_17
| ~ spl8_15
| ~ spl8_1
| ~ spl8_14
| spl8_10
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f498,f465,f383,f402,f347,f406,f415,f359,f351,f363,f371]) ).
tff(f498,plain,
( ( $sum(sK2,0) != sK2 )
| $less(sK7,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2))) ),
inference(forward_demodulation,[],[f250,f323]) ).
tff(f250,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| $less(sK7,sK2)
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f497,plain,
( spl8_2
| ~ spl8_3
| spl8_20
| spl8_5
| ~ spl8_21
| ~ spl8_6
| ~ spl8_23
| ~ spl8_9
| spl8_18 ),
inference(avatar_split_clause,[],[f496,f420,f379,f459,f367,f432,f363,f428,f355,f351]) ).
tff(f496,plain,
( no_zero1(sK3)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ $less(sK2,$sum(sK2,0))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK7,$sum(sK2,1))
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f289,f323]) ).
tff(f289,plain,
( ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK7,$sum(sK2,1))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f495,plain,
~ spl8_25,
inference(avatar_split_clause,[],[f193,f492]) ).
tff(f492,plain,
( spl8_25
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
tff(f193,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).
tff(f490,plain,
( spl8_22
| spl8_13
| ~ spl8_17
| spl8_20
| spl8_19
| spl8_2
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f489,f465,f351,f424,f428,f415,f397,f439]) ).
tff(f489,plain,
( ( $sum(sK2,0) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3)))) ),
inference(forward_demodulation,[],[f226,f323]) ).
tff(f226,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f488,plain,
( ~ spl8_24
| ~ spl8_4
| ~ spl8_17
| spl8_18
| spl8_12
| ~ spl8_6
| ~ spl8_9
| spl8_2 ),
inference(avatar_split_clause,[],[f487,f351,f379,f367,f393,f420,f415,f359,f465]) ).
tff(f487,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| no_zero1(sK3)
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 )
| ( $sum(sK2,0) != sK2 ) ),
inference(forward_demodulation,[],[f280,f323]) ).
tff(f280,plain,
( zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f486,plain,
( ~ spl8_19
| ~ spl8_15
| ~ spl8_3
| ~ spl8_14
| spl8_5
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f485,f459,f363,f402,f355,f406,f424]) ).
tff(f485,plain,
( ~ $less(sK2,$sum(sK2,0))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 != sK4 ) ),
inference(forward_demodulation,[],[f339,f323]) ).
tff(f339,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( 0 != sK4 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2) ),
inference(duplicate_literal_removal,[],[f235]) ).
tff(f235,plain,
( ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( 0 != sK4 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f484,plain,
( spl8_12
| ~ spl8_17
| ~ spl8_24
| spl8_2
| spl8_19
| spl8_18
| spl8_20 ),
inference(avatar_split_clause,[],[f483,f428,f420,f424,f351,f465,f415,f393]) ).
tff(f483,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| no_zero1(sK3)
| ( 0 = sK4 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(forward_demodulation,[],[f228,f323]) ).
tff(f228,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| no_zero1(sK3)
| ( 0 = sK4 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f482,plain,
( ~ spl8_24
| spl8_22
| spl8_2
| ~ spl8_4
| spl8_13
| ~ spl8_17
| spl8_19 ),
inference(avatar_split_clause,[],[f481,f424,f415,f397,f359,f351,f439,f465]) ).
tff(f481,plain,
( ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK2,0) != sK2 ) ),
inference(forward_demodulation,[],[f210,f323]) ).
tff(f210,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f480,plain,
( spl8_5
| ~ spl8_4
| ~ spl8_9
| ~ spl8_6
| spl8_2
| ~ spl8_3
| ~ spl8_23
| ~ spl8_21
| spl8_18 ),
inference(avatar_split_clause,[],[f479,f420,f432,f459,f355,f351,f367,f379,f359,f363]) ).
tff(f479,plain,
( no_zero1(sK3)
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,0))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK6 != sK3 )
| $less(sK2,sK2) ),
inference(forward_demodulation,[],[f273,f323]) ).
tff(f273,plain,
( no_zero1(sK3)
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f478,plain,
( ~ spl8_23
| ~ spl8_21
| ~ spl8_4
| spl8_5
| ~ spl8_3
| spl8_19
| spl8_2
| spl8_18 ),
inference(avatar_split_clause,[],[f477,f420,f351,f424,f355,f363,f359,f432,f459]) ).
tff(f477,plain,
( no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,0)) ),
inference(forward_demodulation,[],[f205,f323]) ).
tff(f205,plain,
( ( 0 = sK4 )
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3) ),
inference(cnf_transformation,[],[f152]) ).
tff(f476,plain,
( ~ spl8_21
| spl8_13
| ~ spl8_15
| spl8_2
| ~ spl8_17
| ~ spl8_24
| spl8_20
| spl8_5
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f475,f402,f363,f428,f465,f415,f351,f406,f397,f432]) ).
tff(f475,plain,
( ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,0) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1)) ),
inference(forward_demodulation,[],[f256,f323]) ).
tff(f256,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ $less(sK7,$sum(sK2,1))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f474,plain,
( ~ spl8_3
| spl8_5
| spl8_13
| spl8_19
| spl8_22
| ~ spl8_23
| spl8_20
| spl8_2 ),
inference(avatar_split_clause,[],[f473,f351,f428,f459,f439,f424,f397,f363,f355]) ).
tff(f473,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,0))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( 0 = sK4 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f227,f323]) ).
tff(f227,plain,
( ( 0 = sK4 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f472,plain,
( spl8_13
| spl8_5
| spl8_22
| ~ spl8_14
| spl8_2
| ~ spl8_15
| ~ spl8_4
| ~ spl8_24
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f471,f415,f465,f359,f406,f351,f402,f439,f363,f397]) ).
tff(f471,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,0) != sK2 )
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| $less(sK2,sK2)
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f244,f323]) ).
tff(f244,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f470,plain,
( spl8_2
| ~ spl8_6
| spl8_22
| ~ spl8_9
| ~ spl8_17
| spl8_18
| ~ spl8_24
| spl8_20 ),
inference(avatar_split_clause,[],[f469,f428,f465,f420,f415,f379,f439,f367,f351]) ).
tff(f469,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( $sum(sK2,0) != sK2 )
| no_zero1(sK3)
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(forward_demodulation,[],[f292,f323]) ).
tff(f292,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f468,plain,
( ~ spl8_24
| spl8_19
| spl8_18
| ~ spl8_17
| spl8_2
| spl8_20
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f463,f432,f428,f351,f415,f420,f424,f465]) ).
tff(f463,plain,
( ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3)
| ( 0 = sK4 )
| ( $sum(sK2,0) != sK2 ) ),
inference(forward_demodulation,[],[f220,f323]) ).
tff(f220,plain,
( ( 0 = sK4 )
| ~ $less(sK7,$sum(sK2,1))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| no_zero1(sK3)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f462,plain,
( ~ spl8_14
| spl8_5
| spl8_12
| spl8_20
| ~ spl8_23
| spl8_18
| spl8_2
| ~ spl8_15
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f457,f355,f406,f351,f420,f459,f428,f393,f363,f402]) ).
tff(f457,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,0))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(forward_demodulation,[],[f340,f323]) ).
tff(f340,plain,
( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| no_zero1(sK3)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1)))) ),
inference(duplicate_literal_removal,[],[f263]) ).
tff(f263,plain,
( $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f456,plain,
( ~ spl8_4
| ~ spl8_17
| ~ spl8_9
| spl8_2
| ~ spl8_16
| ~ spl8_6
| spl8_13
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f274,f432,f397,f367,f411,f351,f379,f415,f359]) ).
tff(f274,plain,
( ~ $less(sK7,$sum(sK2,1))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ no_zero1(tb2t1(nil(int)))
| ( sK6 != sK3 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f455,plain,
( ~ spl8_17
| spl8_2
| ~ spl8_6
| ~ spl8_16
| spl8_19
| spl8_20
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f218,f388,f428,f424,f411,f367,f351,f415]) ).
tff(f218,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( 0 = sK4 )
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f454,plain,
( ~ spl8_15
| spl8_5
| ~ spl8_14
| spl8_10
| spl8_2
| ~ spl8_3
| ~ spl8_8
| ~ spl8_7
| spl8_20
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f341,f347,f428,f371,f375,f355,f351,f383,f402,f363,f406]) ).
tff(f375,plain,
( spl8_8
<=> $less(sK2,$sum(sK2,length1(int,nil(int)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
tff(f341,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK7,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(duplicate_literal_removal,[],[f267]) ).
tff(f267,plain,
( ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| $less(sK7,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f453,plain,
( ~ spl8_3
| spl8_22
| spl8_19
| spl8_2
| spl8_20
| spl8_18
| spl8_5
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f225,f375,f363,f420,f428,f351,f424,f439,f355]) ).
tff(f225,plain,
( ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| no_zero1(sK3)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f452,plain,
( ~ spl8_14
| spl8_18
| ~ spl8_16
| ~ spl8_17
| ~ spl8_15
| ~ spl8_21
| spl8_5
| spl8_2
| spl8_20 ),
inference(avatar_split_clause,[],[f254,f428,f351,f363,f432,f406,f415,f411,f420,f402]) ).
tff(f254,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ $less(sK7,$sum(sK2,1))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| no_zero1(sK3)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f451,plain,
( ~ spl8_15
| ~ spl8_19
| spl8_5
| ~ spl8_16
| ~ spl8_14
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f234,f415,f402,f411,f363,f424,f406]) ).
tff(f234,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| $less(sK2,sK2)
| ( 0 != sK4 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f450,plain,
( spl8_19
| ~ spl8_17
| ~ spl8_7
| ~ spl8_4
| ~ spl8_1
| spl8_2
| spl8_10
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f216,f411,f383,f351,f347,f359,f371,f415,f424]) ).
tff(f216,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| $less(sK7,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ no_zero1(tb2t1(nil(int)))
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f449,plain,
( ~ spl8_16
| spl8_12
| ~ spl8_9
| ~ spl8_6
| spl8_2
| spl8_18
| spl8_20
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f296,f415,f428,f420,f351,f367,f379,f393,f411]) ).
tff(f296,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| no_zero1(sK3)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f448,plain,
( ~ spl8_3
| spl8_2
| ~ spl8_14
| spl8_5
| ~ spl8_8
| spl8_22
| spl8_13
| ~ spl8_15
| spl8_20 ),
inference(avatar_split_clause,[],[f342,f428,f406,f397,f439,f375,f363,f402,f351,f355]) ).
tff(f342,plain,
( ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(duplicate_literal_removal,[],[f261]) ).
tff(f261,plain,
( $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK2,sK2)
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f447,plain,
( ~ spl8_6
| spl8_12
| spl8_20
| spl8_2
| ~ spl8_9
| ~ spl8_17
| spl8_13
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f298,f411,f397,f415,f379,f351,f428,f393,f367]) ).
tff(f298,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f446,plain,
( spl8_20
| ~ spl8_17
| spl8_2
| spl8_13
| ~ spl8_9
| spl8_22
| ~ spl8_6
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f294,f411,f367,f439,f379,f397,f351,f415,f428]) ).
tff(f294,plain,
( ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f445,plain,
( spl8_13
| ~ spl8_21
| ~ spl8_16
| ~ spl8_17
| spl8_19
| spl8_2
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f206,f359,f351,f424,f415,f411,f432,f397]) ).
tff(f206,plain,
( ( sK6 != sK3 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( 0 = sK4 )
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ $less(sK7,$sum(sK2,1))
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f444,plain,
( spl8_2
| ~ spl8_11
| ~ spl8_14
| ~ spl8_16
| ~ spl8_6
| spl8_5
| ~ spl8_17
| ~ spl8_4
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f236,f406,f359,f415,f363,f367,f411,f402,f388,f351]) ).
tff(f236,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(nil(int)))
| $less(sK2,sK2)
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f443,plain,
( ~ spl8_15
| spl8_18
| ~ spl8_16
| ~ spl8_14
| spl8_20
| ~ spl8_17
| spl8_12
| spl8_2
| spl8_5 ),
inference(avatar_split_clause,[],[f262,f363,f351,f393,f415,f428,f402,f411,f420,f406]) ).
tff(f262,plain,
( $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ no_zero1(tb2t1(nil(int)))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| no_zero1(sK3)
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f442,plain,
( spl8_18
| spl8_5
| ~ spl8_8
| spl8_2
| ~ spl8_15
| spl8_22
| ~ spl8_14
| ~ spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f343,f359,f355,f402,f439,f406,f351,f375,f363,f420]) ).
tff(f343,plain,
( ( sK6 != sK3 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| no_zero1(sK3) ),
inference(duplicate_literal_removal,[],[f243]) ).
tff(f243,plain,
( $less(sK2,sK2)
| $less(sK2,sK2)
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| no_zero1(sK3)
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| $less(sK7,$sum($sum(sK2,1),length1(int,t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f437,plain,
( ~ spl8_16
| ~ spl8_17
| spl8_5
| spl8_2
| ~ spl8_14
| spl8_12
| spl8_13
| ~ spl8_4
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f248,f406,f359,f397,f393,f402,f351,f363,f415,f411]) ).
tff(f248,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| $less(sK2,sK2)
| ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,nil(int))) != sK2 ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f436,plain,
( ~ spl8_3
| spl8_2
| spl8_12
| ~ spl8_6
| spl8_13
| ~ spl8_9
| ~ spl8_8
| spl8_20
| spl8_5 ),
inference(avatar_split_clause,[],[f299,f363,f428,f375,f379,f397,f367,f393,f351,f355]) ).
tff(f299,plain,
( $less(sK2,sK2)
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f435,plain,
( spl8_5
| spl8_18
| ~ spl8_8
| ~ spl8_3
| spl8_19
| spl8_20
| ~ spl8_21
| spl8_2 ),
inference(avatar_split_clause,[],[f221,f351,f432,f428,f424,f355,f375,f420,f363]) ).
tff(f221,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,1))
| ( tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) = tb2t1(cons(int,t2tb2(sK5),t2tb1(sK6))) )
| ( 0 = sK4 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| no_zero1(sK3)
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f418,plain,
( spl8_13
| ~ spl8_4
| spl8_2
| ~ spl8_6
| ~ spl8_16
| spl8_12
| ~ spl8_9
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f282,f415,f379,f393,f411,f367,f351,f359,f397]) ).
tff(f282,plain,
( ~ no_zero1(tb2t1(nil(int)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| ( $sum(sK2,length1(int,nil(int))) != sK2 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) ) ),
inference(cnf_transformation,[],[f152]) ).
tff(f409,plain,
( ~ spl8_3
| spl8_5
| ~ spl8_11
| ~ spl8_14
| ~ spl8_6
| ~ spl8_8
| ~ spl8_15
| ~ spl8_4
| spl8_2 ),
inference(avatar_split_clause,[],[f344,f351,f359,f406,f375,f367,f402,f388,f363,f355]) ).
tff(f344,plain,
( ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2))) ),
inference(duplicate_literal_removal,[],[f237]) ).
tff(f237,plain,
( ~ $less(sK2,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ( sK6 != sK3 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| $less(sK2,sK2)
| $less(sK2,sK2) ),
inference(cnf_transformation,[],[f152]) ).
tff(f400,plain,
( ~ spl8_6
| ~ spl8_3
| spl8_5
| spl8_12
| ~ spl8_4
| spl8_2
| spl8_13
| ~ spl8_9
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f283,f375,f379,f397,f351,f359,f393,f363,f355,f367]) ).
tff(f283,plain,
( ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ( sK7 = $sum($sum(sK2,1),length1(int,t2tb1(sK3))) )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| zero_at1(sK3,$sum(sK7,$uminus($sum(sK2,1))))
| $less(sK2,sK2)
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f391,plain,
( ~ spl8_9
| ~ spl8_4
| spl8_2
| spl8_5
| ~ spl8_8
| ~ spl8_6
| ~ spl8_11
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f345,f355,f388,f367,f375,f363,f351,f359,f379]) ).
tff(f345,plain,
( ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| $less(sK2,sK2)
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ( sK6 != sK3 )
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 ) ),
inference(duplicate_literal_removal,[],[f271]) ).
tff(f271,plain,
( ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK7 )
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f386,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_3
| ~ spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| spl8_10 ),
inference(avatar_split_clause,[],[f285,f383,f379,f375,f371,f367,f363,f359,f355,f351,f347]) ).
tff(f285,plain,
( $less(sK7,sK2)
| ( $sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3)))) != sK2 )
| ~ $less(sK2,$sum(sK2,length1(int,nil(int))))
| ~ zero_at1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))),$sum(sK7,$uminus(sK2)))
| ~ no_zero1(tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))))
| $less(sK2,sK2)
| ( sK6 != sK3 )
| ~ zero_at1(tb2t1(nil(int)),$sum(sK2,$uminus(sK2)))
| ( tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK3))) )
| ~ $less(sK7,$sum(sK2,length1(int,cons(int,t2tb2(sK4),t2tb1(sK3))))) ),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW671=2 : TPTP v8.1.0. Released v6.1.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 30 21:00:55 EDT 2022
% 0.08/0.30 % CPUTime :
% 0.14/0.45 % (31417)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.45 % (31417)Instruction limit reached!
% 0.14/0.45 % (31417)------------------------------
% 0.14/0.45 % (31417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45 % (31417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45 % (31417)Termination reason: Unknown
% 0.14/0.45 % (31417)Termination phase: Including theory axioms
% 0.14/0.45
% 0.14/0.45 % (31417)Memory used [KB]: 895
% 0.14/0.45 % (31417)Time elapsed: 0.003 s
% 0.14/0.45 % (31417)Instructions burned: 3 (million)
% 0.14/0.45 % (31417)------------------------------
% 0.14/0.45 % (31417)------------------------------
% 0.14/0.45 % (31428)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.46 % (31436)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.46 % (31425)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.46 % (31433)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.47 % (31420)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.49 % (31415)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49 % (31410)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (31415)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.49 % (31415)Terminated due to inappropriate strategy.
% 0.14/0.49 % (31415)------------------------------
% 0.14/0.49 % (31415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (31415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (31415)Termination reason: Inappropriate
% 0.14/0.49
% 0.14/0.49 % (31415)Memory used [KB]: 1023
% 0.14/0.49 % (31415)Time elapsed: 0.005 s
% 0.14/0.49 % (31415)Instructions burned: 7 (million)
% 0.14/0.49 % (31415)------------------------------
% 0.14/0.49 % (31415)------------------------------
% 0.14/0.50 % (31416)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.50 % (31413)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50 % (31412)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50 % (31416)Instruction limit reached!
% 0.14/0.50 % (31416)------------------------------
% 0.14/0.50 % (31416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (31416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (31416)Termination reason: Unknown
% 0.14/0.50 % (31416)Termination phase: Property scanning
% 0.14/0.50
% 0.14/0.50 % (31416)Memory used [KB]: 1023
% 0.14/0.50 % (31416)Time elapsed: 0.006 s
% 0.14/0.50 % (31416)Instructions burned: 7 (million)
% 0.14/0.50 % (31416)------------------------------
% 0.14/0.50 % (31416)------------------------------
% 0.14/0.50 % (31409)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.14/0.51 % (31414)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.51 % (31426)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.51 % (31426)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.51 % (31426)Terminated due to inappropriate strategy.
% 0.14/0.51 % (31426)------------------------------
% 0.14/0.51 % (31426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (31426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (31426)Termination reason: Inappropriate
% 0.14/0.51
% 0.14/0.51 % (31426)Memory used [KB]: 1023
% 0.14/0.51 % (31426)Time elapsed: 0.006 s
% 0.14/0.51 % (31426)Instructions burned: 9 (million)
% 0.14/0.51 % (31426)------------------------------
% 0.14/0.51 % (31426)------------------------------
% 0.14/0.52 % (31430)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.52 % (31419)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.52 % (31429)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.52 % (31423)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.52 % (31421)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.52 % (31435)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.52 % (31434)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.52 % (31422)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.52 % (31409)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.52 % (31409)Terminated due to inappropriate strategy.
% 0.14/0.52 % (31409)------------------------------
% 0.14/0.52 % (31409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (31409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (31409)Termination reason: Inappropriate
% 0.14/0.52
% 0.14/0.52 % (31409)Memory used [KB]: 1023
% 0.14/0.52 % (31409)Time elapsed: 0.006 s
% 0.14/0.52 % (31409)Instructions burned: 7 (million)
% 0.14/0.52 % (31409)------------------------------
% 0.14/0.52 % (31409)------------------------------
% 0.14/0.52 % (31438)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.52 % (31431)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.53 % (31432)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.53 % (31418)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.53 % (31437)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.53 % (31424)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.53 % (31427)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.53 % (31411)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.17/0.61 % (31411)Instruction limit reached!
% 2.17/0.61 % (31411)------------------------------
% 2.17/0.61 % (31411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.61 % (31411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.61 % (31411)Termination reason: Unknown
% 2.17/0.61 % (31411)Termination phase: Saturation
% 2.17/0.61
% 2.17/0.61 % (31411)Memory used [KB]: 1407
% 2.17/0.61 % (31411)Time elapsed: 0.212 s
% 2.17/0.61 % (31411)Instructions burned: 37 (million)
% 2.17/0.61 % (31411)------------------------------
% 2.17/0.61 % (31411)------------------------------
% 2.17/0.61 % (31412)Instruction limit reached!
% 2.17/0.61 % (31412)------------------------------
% 2.17/0.61 % (31412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.61 % (31412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.61 % (31412)Termination reason: Unknown
% 2.17/0.61 % (31412)Termination phase: Saturation
% 2.17/0.61
% 2.17/0.61 % (31412)Memory used [KB]: 6140
% 2.17/0.61 % (31412)Time elapsed: 0.256 s
% 2.17/0.61 % (31412)Instructions burned: 51 (million)
% 2.17/0.61 % (31412)------------------------------
% 2.17/0.61 % (31412)------------------------------
% 2.17/0.62 % (31414)Instruction limit reached!
% 2.17/0.62 % (31414)------------------------------
% 2.17/0.62 % (31414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.62 % (31414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.62 % (31414)Termination reason: Unknown
% 2.17/0.62 % (31414)Termination phase: Saturation
% 2.17/0.62
% 2.17/0.62 % (31414)Memory used [KB]: 6012
% 2.17/0.62 % (31414)Time elapsed: 0.264 s
% 2.17/0.62 % (31414)Instructions burned: 49 (million)
% 2.17/0.62 % (31414)------------------------------
% 2.17/0.62 % (31414)------------------------------
% 2.17/0.63 % (31440)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.17/0.63 % (31410)Instruction limit reached!
% 2.17/0.63 % (31410)------------------------------
% 2.17/0.63 % (31410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (31410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (31410)Termination reason: Unknown
% 2.17/0.63 % (31410)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (31410)Memory used [KB]: 6268
% 2.17/0.63 % (31410)Time elapsed: 0.271 s
% 2.17/0.63 % (31410)Instructions burned: 50 (million)
% 2.17/0.63 % (31410)------------------------------
% 2.17/0.63 % (31410)------------------------------
% 2.17/0.64 % (31413)Instruction limit reached!
% 2.17/0.64 % (31413)------------------------------
% 2.17/0.64 % (31413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64 % (31413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64 % (31413)Termination reason: Unknown
% 2.17/0.64 % (31413)Termination phase: Saturation
% 2.17/0.64
% 2.17/0.64 % (31413)Memory used [KB]: 6140
% 2.17/0.64 % (31413)Time elapsed: 0.280 s
% 2.17/0.64 % (31413)Instructions burned: 51 (million)
% 2.17/0.64 % (31413)------------------------------
% 2.17/0.64 % (31413)------------------------------
% 2.17/0.64 % (31428)Instruction limit reached!
% 2.17/0.64 % (31428)------------------------------
% 2.17/0.64 % (31428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (31419)Instruction limit reached!
% 2.17/0.65 % (31419)------------------------------
% 2.17/0.65 % (31419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (31419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (31419)Termination reason: Unknown
% 2.17/0.65 % (31419)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (31419)Memory used [KB]: 6268
% 2.17/0.65 % (31419)Time elapsed: 0.282 s
% 2.17/0.65 % (31419)Instructions burned: 50 (million)
% 2.17/0.65 % (31419)------------------------------
% 2.17/0.65 % (31419)------------------------------
% 2.17/0.65 % (31428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (31428)Termination reason: Unknown
% 2.17/0.65 % (31428)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (31428)Memory used [KB]: 2174
% 2.17/0.65 % (31428)Time elapsed: 0.283 s
% 2.17/0.65 % (31428)Instructions burned: 101 (million)
% 2.17/0.65 % (31428)------------------------------
% 2.17/0.65 % (31428)------------------------------
% 2.68/0.65 % (31420)Instruction limit reached!
% 2.68/0.65 % (31420)------------------------------
% 2.68/0.65 % (31420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.65 % (31420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.65 % (31420)Termination reason: Unknown
% 2.68/0.65 % (31420)Termination phase: Saturation
% 2.68/0.65
% 2.68/0.65 % (31420)Memory used [KB]: 6524
% 2.68/0.65 % (31420)Time elapsed: 0.288 s
% 2.68/0.65 % (31420)Instructions burned: 100 (million)
% 2.68/0.65 % (31420)------------------------------
% 2.68/0.65 % (31420)------------------------------
% 2.68/0.66 % (31418)Instruction limit reached!
% 2.68/0.66 % (31418)------------------------------
% 2.68/0.66 % (31418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.66 % (31418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.66 % (31418)Termination reason: Unknown
% 2.68/0.66 % (31418)Termination phase: Saturation
% 2.68/0.66
% 2.68/0.66 % (31418)Memory used [KB]: 1791
% 2.68/0.66 % (31418)Time elapsed: 0.233 s
% 2.68/0.66 % (31418)Instructions burned: 51 (million)
% 2.68/0.66 % (31418)------------------------------
% 2.68/0.66 % (31418)------------------------------
% 2.75/0.67 % (31425)Instruction limit reached!
% 2.75/0.67 % (31425)------------------------------
% 2.75/0.67 % (31425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.67 % (31425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.67 % (31425)Termination reason: Unknown
% 2.75/0.67 % (31425)Termination phase: Saturation
% 2.75/0.67
% 2.75/0.67 % (31425)Memory used [KB]: 6524
% 2.75/0.67 % (31425)Time elapsed: 0.318 s
% 2.75/0.67 % (31425)Instructions burned: 100 (million)
% 2.75/0.67 % (31425)------------------------------
% 2.75/0.67 % (31425)------------------------------
% 2.75/0.69 % (31435)Instruction limit reached!
% 2.75/0.69 % (31435)------------------------------
% 2.75/0.69 % (31435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.69 % (31435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.69 % (31435)Termination reason: Unknown
% 2.75/0.69 % (31435)Termination phase: Saturation
% 2.75/0.69
% 2.75/0.69 % (31435)Memory used [KB]: 6652
% 2.75/0.69 % (31435)Time elapsed: 0.051 s
% 2.75/0.69 % (31435)Instructions burned: 68 (million)
% 2.75/0.69 % (31435)------------------------------
% 2.75/0.69 % (31435)------------------------------
% 3.02/0.71 % (31441)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 3.02/0.72 % (31424)Instruction limit reached!
% 3.02/0.72 % (31424)------------------------------
% 3.02/0.72 % (31424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.72 % (31424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.72 % (31424)Termination reason: Unknown
% 3.02/0.72 % (31424)Termination phase: Saturation
% 3.02/0.72
% 3.02/0.72 % (31424)Memory used [KB]: 2046
% 3.02/0.72 % (31424)Time elapsed: 0.351 s
% 3.02/0.72 % (31424)Instructions burned: 76 (million)
% 3.02/0.72 % (31424)------------------------------
% 3.02/0.72 % (31424)------------------------------
% 3.02/0.73 % (31423)Instruction limit reached!
% 3.02/0.73 % (31423)------------------------------
% 3.02/0.73 % (31423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.73 % (31423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.73 % (31423)Termination reason: Unknown
% 3.02/0.73 % (31423)Termination phase: Saturation
% 3.02/0.73
% 3.02/0.73 % (31423)Memory used [KB]: 6780
% 3.02/0.73 % (31423)Time elapsed: 0.051 s
% 3.02/0.73 % (31423)Instructions burned: 68 (million)
% 3.02/0.73 % (31423)------------------------------
% 3.02/0.73 % (31423)------------------------------
% 3.21/0.75 % (31442)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.21/0.76 % (31444)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.21/0.76 % (31443)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.21/0.78 % (31427)Instruction limit reached!
% 3.21/0.78 % (31427)------------------------------
% 3.21/0.78 % (31427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.78 % (31427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.78 % (31427)Termination reason: Unknown
% 3.21/0.78 % (31427)Termination phase: Saturation
% 3.21/0.78
% 3.21/0.78 % (31427)Memory used [KB]: 6652
% 3.21/0.78 % (31427)Time elapsed: 0.422 s
% 3.21/0.78 % (31427)Instructions burned: 100 (million)
% 3.21/0.78 % (31427)------------------------------
% 3.21/0.78 % (31427)------------------------------
% 3.21/0.78 % (31422)Instruction limit reached!
% 3.21/0.78 % (31422)------------------------------
% 3.21/0.78 % (31422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.78 % (31422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.78 % (31422)Termination reason: Unknown
% 3.21/0.78 % (31422)Termination phase: Saturation
% 3.21/0.78
% 3.21/0.78 % (31422)Memory used [KB]: 6780
% 3.21/0.78 % (31422)Time elapsed: 0.422 s
% 3.21/0.78 % (31422)Instructions burned: 100 (million)
% 3.21/0.78 % (31422)------------------------------
% 3.21/0.78 % (31422)------------------------------
% 3.21/0.79 % (31421)Instruction limit reached!
% 3.21/0.79 % (31421)------------------------------
% 3.21/0.79 % (31421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.79 % (31421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.79 % (31421)Termination reason: Unknown
% 3.21/0.79 % (31421)Termination phase: Saturation
% 3.21/0.79
% 3.21/0.79 % (31421)Memory used [KB]: 6524
% 3.21/0.79 % (31421)Time elapsed: 0.396 s
% 3.21/0.79 % (31421)Instructions burned: 101 (million)
% 3.21/0.79 % (31421)------------------------------
% 3.21/0.79 % (31421)------------------------------
% 3.21/0.80 % (31436)Instruction limit reached!
% 3.21/0.80 % (31436)------------------------------
% 3.21/0.80 % (31436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.83 % (31436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.83 % (31436)Termination reason: Unknown
% 3.21/0.83 % (31436)Termination phase: Saturation
% 3.21/0.83
% 3.21/0.83 % (31436)Memory used [KB]: 2942
% 3.21/0.83 % (31436)Time elapsed: 0.448 s
% 3.21/0.83 % (31436)Instructions burned: 178 (million)
% 3.21/0.83 % (31436)------------------------------
% 3.21/0.83 % (31436)------------------------------
% 3.21/0.84 % (31451)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.65/0.84 % (31454)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.65/0.84 % (31452)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.65/0.84 % (31450)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.65/0.85 % (31447)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.65/0.85 % (31446)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.65/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.65/0.85 % (31449)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.65/0.85 % (31448)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.65/0.85 % (31445)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.65/0.87 % (31453)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.65/0.87 % (31430)Instruction limit reached!
% 3.65/0.87 % (31430)------------------------------
% 3.65/0.87 % (31430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.87 % (31430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.87 % (31430)Termination reason: Unknown
% 3.65/0.87 % (31430)Termination phase: Saturation
% 3.65/0.87
% 3.65/0.87 % (31430)Memory used [KB]: 7164
% 3.65/0.87 % (31430)Time elapsed: 0.490 s
% 3.65/0.87 % (31430)Instructions burned: 139 (million)
% 3.65/0.87 % (31430)------------------------------
% 3.65/0.87 % (31430)------------------------------
% 3.82/0.89 % (31455)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.82/0.93 % (31458)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 4.02/0.97 % (31457)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 4.02/0.98 % (31429)Instruction limit reached!
% 4.02/0.98 % (31429)------------------------------
% 4.02/0.98 % (31429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/0.98 % (31429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/0.98 % (31429)Termination reason: Unknown
% 4.02/0.98 % (31429)Termination phase: Saturation
% 4.02/0.98
% 4.02/0.98 % (31429)Memory used [KB]: 7419
% 4.02/0.98 % (31429)Time elapsed: 0.598 s
% 4.02/0.98 % (31429)Instructions burned: 176 (million)
% 4.02/0.98 % (31429)------------------------------
% 4.02/0.98 % (31429)------------------------------
% 4.02/0.98 % (31447)Instruction limit reached!
% 4.02/0.98 % (31447)------------------------------
% 4.02/0.98 % (31447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/0.98 % (31447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/0.98 % (31447)Termination reason: Unknown
% 4.02/0.98 % (31447)Termination phase: Saturation
% 4.02/0.98
% 4.02/0.98 % (31447)Memory used [KB]: 6780
% 4.02/0.98 % (31447)Time elapsed: 0.050 s
% 4.02/0.98 % (31447)Instructions burned: 69 (million)
% 4.02/0.98 % (31447)------------------------------
% 4.02/0.98 % (31447)------------------------------
% 4.28/1.01 % (31450)Instruction limit reached!
% 4.28/1.01 % (31450)------------------------------
% 4.28/1.01 % (31450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.01 % (31450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.01 % (31450)Termination reason: Unknown
% 4.28/1.01 % (31450)Termination phase: Saturation
% 4.28/1.01
% 4.28/1.01 % (31450)Memory used [KB]: 6652
% 4.28/1.01 % (31450)Time elapsed: 0.314 s
% 4.28/1.01 % (31450)Instructions burned: 90 (million)
% 4.28/1.01 % (31450)------------------------------
% 4.28/1.01 % (31450)------------------------------
% 4.28/1.01 % (31460)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 4.28/1.03 % (31442)Instruction limit reached!
% 4.28/1.03 % (31442)------------------------------
% 4.28/1.03 % (31442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.03 % (31442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.03 % (31442)Termination reason: Unknown
% 4.28/1.03 % (31442)Termination phase: Saturation
% 4.28/1.03
% 4.28/1.03 % (31442)Memory used [KB]: 6780
% 4.28/1.03 % (31442)Time elapsed: 0.432 s
% 4.28/1.03 % (31442)Instructions burned: 91 (million)
% 4.28/1.03 % (31442)------------------------------
% 4.28/1.03 % (31442)------------------------------
% 4.28/1.03 % (31459)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 5.93/1.08 % (31461)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 5.93/1.09 % (31458)Instruction limit reached!
% 5.93/1.09 % (31458)------------------------------
% 5.93/1.09 % (31458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.93/1.09 % (31458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.93/1.09 % (31458)Termination reason: Unknown
% 5.93/1.09 % (31458)Termination phase: Saturation
% 5.93/1.09
% 5.93/1.09 % (31458)Memory used [KB]: 6780
% 5.93/1.09 % (31458)Time elapsed: 0.054 s
% 5.93/1.09 % (31458)Instructions burned: 68 (million)
% 5.93/1.09 % (31458)------------------------------
% 5.93/1.09 % (31458)------------------------------
% 5.93/1.12 % (31464)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 5.93/1.12 % (31463)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 5.93/1.14 % (31467)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 7.05/1.22 % (31465)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 7.05/1.23 % (31466)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 7.05/1.24 % (31441)Instruction limit reached!
% 7.05/1.24 % (31441)------------------------------
% 7.05/1.24 % (31441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.24 % (31441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.24 % (31441)Termination reason: Unknown
% 7.05/1.24 % (31441)Termination phase: Saturation
% 7.05/1.24
% 7.05/1.24 % (31441)Memory used [KB]: 3709
% 7.05/1.24 % (31441)Time elapsed: 0.684 s
% 7.05/1.24 % (31441)Instructions burned: 211 (million)
% 7.05/1.24 % (31441)------------------------------
% 7.05/1.24 % (31441)------------------------------
% 7.35/1.28 % (31468)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.35/1.34 % (31469)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 7.99/1.34 % (31464)Instruction limit reached!
% 7.99/1.34 % (31464)------------------------------
% 7.99/1.34 % (31464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.99/1.34 % (31464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.99/1.34 % (31464)Termination reason: Unknown
% 7.99/1.34 % (31464)Termination phase: Saturation
% 7.99/1.34
% 7.99/1.34 % (31464)Memory used [KB]: 6652
% 7.99/1.34 % (31464)Time elapsed: 0.428 s
% 7.99/1.34 % (31464)Instructions burned: 91 (million)
% 7.99/1.34 % (31464)------------------------------
% 7.99/1.34 % (31464)------------------------------
% 8.34/1.44 % (31438)Instruction limit reached!
% 8.34/1.44 % (31438)------------------------------
% 8.34/1.44 % (31438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.44 % (31438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.34/1.44 % (31438)Termination reason: Unknown
% 8.34/1.44 % (31438)Termination phase: Saturation
% 8.34/1.44
% 8.34/1.44 % (31438)Memory used [KB]: 9210
% 8.34/1.44 % (31438)Time elapsed: 1.051 s
% 8.34/1.44 % (31438)Instructions burned: 355 (million)
% 8.34/1.44 % (31438)------------------------------
% 8.34/1.44 % (31438)------------------------------
% 8.88/1.49 % (31440)Instruction limit reached!
% 8.88/1.49 % (31440)------------------------------
% 8.88/1.49 % (31440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.88/1.49 % (31440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.88/1.49 % (31440)Termination reason: Unknown
% 8.88/1.49 % (31440)Termination phase: Saturation
% 8.88/1.49
% 8.88/1.49 % (31440)Memory used [KB]: 7931
% 8.88/1.49 % (31440)Time elapsed: 0.911 s
% 8.88/1.49 % (31440)Instructions burned: 388 (million)
% 8.88/1.49 % (31440)------------------------------
% 8.88/1.49 % (31440)------------------------------
% 8.88/1.49 % (31470)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 9.27/1.53 % (31433)Instruction limit reached!
% 9.27/1.53 % (31433)------------------------------
% 9.27/1.53 % (31433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.27/1.53 % (31433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.27/1.53 % (31433)Termination reason: Unknown
% 9.27/1.53 % (31433)Termination phase: Saturation
% 9.27/1.53
% 9.27/1.53 % (31433)Memory used [KB]: 10490
% 9.27/1.53 % (31433)Time elapsed: 1.171 s
% 9.27/1.53 % (31433)Instructions burned: 482 (million)
% 9.27/1.53 % (31433)------------------------------
% 9.27/1.53 % (31433)------------------------------
% 9.53/1.59 % (31471)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 10.08/1.65 % (31432)Instruction limit reached!
% 10.08/1.65 % (31432)------------------------------
% 10.08/1.65 % (31432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.08/1.65 % (31432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.08/1.65 % (31432)Termination reason: Unknown
% 10.08/1.65 % (31432)Termination phase: Saturation
% 10.08/1.65
% 10.08/1.65 % (31432)Memory used [KB]: 9466
% 10.08/1.65 % (31432)Time elapsed: 1.273 s
% 10.08/1.65 % (31432)Instructions burned: 468 (million)
% 10.08/1.65 % (31432)------------------------------
% 10.08/1.65 % (31432)------------------------------
% 10.08/1.66 % (31437)Instruction limit reached!
% 10.08/1.66 % (31437)------------------------------
% 10.08/1.66 % (31437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.08/1.66 % (31437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.08/1.66 % (31437)Termination reason: Unknown
% 10.08/1.66 % (31437)Termination phase: Saturation
% 10.08/1.66
% 10.08/1.66 % (31437)Memory used [KB]: 8699
% 10.08/1.66 % (31437)Time elapsed: 1.264 s
% 10.08/1.66 % (31437)Instructions burned: 439 (million)
% 10.08/1.66 % (31437)------------------------------
% 10.08/1.66 % (31437)------------------------------
% 10.08/1.69 % (31472)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 10.96/1.71 % (31474)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/44001Mi)
% 11.47/1.78 % (31431)Instruction limit reached!
% 11.47/1.78 % (31431)------------------------------
% 11.47/1.78 % (31431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.47/1.78 % (31431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.47/1.78 % (31431)Termination reason: Unknown
% 11.47/1.78 % (31431)Termination phase: Saturation
% 11.47/1.78
% 11.47/1.78 % (31431)Memory used [KB]: 2686
% 11.47/1.78 % (31431)Time elapsed: 1.405 s
% 11.47/1.78 % (31431)Instructions burned: 498 (million)
% 11.47/1.78 % (31431)------------------------------
% 11.47/1.78 % (31431)------------------------------
% 11.58/1.79 % (31434)Instruction limit reached!
% 11.58/1.79 % (31434)------------------------------
% 11.58/1.79 % (31434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.58/1.79 % (31434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.58/1.79 % (31434)Termination reason: Unknown
% 11.58/1.79 % (31434)Termination phase: Saturation
% 11.58/1.79
% 11.58/1.79 % (31434)Memory used [KB]: 10490
% 11.58/1.79 % (31434)Time elapsed: 1.385 s
% 11.58/1.79 % (31434)Instructions burned: 500 (million)
% 11.58/1.79 % (31434)------------------------------
% 11.58/1.79 % (31434)------------------------------
% 11.82/1.81 % (31473)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 11.94/1.90 % (31475)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/4958Mi)
% 11.94/1.91 % (31476)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/35256Mi)
% 13.07/2.03 % (31477)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/32293Mi)
% 14.21/2.13 % (31478)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/37001Mi)
% 14.21/2.14 % (31473)Instruction limit reached!
% 14.21/2.14 % (31473)------------------------------
% 14.21/2.14 % (31473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.21/2.14 % (31473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.21/2.14 % (31473)Termination reason: Unknown
% 14.21/2.14 % (31473)Termination phase: Saturation
% 14.21/2.14
% 14.21/2.14 % (31473)Memory used [KB]: 6652
% 14.21/2.14 % (31473)Time elapsed: 0.565 s
% 14.21/2.14 % (31473)Instructions burned: 90 (million)
% 14.21/2.14 % (31473)------------------------------
% 14.21/2.14 % (31473)------------------------------
% 14.21/2.16 % (31446)Instruction limit reached!
% 14.21/2.16 % (31446)------------------------------
% 14.21/2.16 % (31446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.21/2.16 % (31446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.21/2.16 % (31446)Termination reason: Unknown
% 14.21/2.16 % (31446)Termination phase: Saturation
% 14.21/2.16
% 14.21/2.16 % (31446)Memory used [KB]: 2942
% 14.21/2.16 % (31446)Time elapsed: 1.478 s
% 14.21/2.16 % (31446)Instructions burned: 656 (million)
% 14.21/2.16 % (31446)------------------------------
% 14.21/2.16 % (31446)------------------------------
% 16.51/2.41 % (31480)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/29337Mi)
% 16.51/2.48 % (31479)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/10187Mi)
% 18.92/2.75 % (31445)Instruction limit reached!
% 18.92/2.75 % (31445)------------------------------
% 18.92/2.75 % (31445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.92/2.75 % (31445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.92/2.75 % (31445)Termination reason: Unknown
% 18.92/2.75 % (31445)Termination phase: Saturation
% 18.92/2.75
% 18.92/2.75 % (31445)Memory used [KB]: 10106
% 18.92/2.75 % (31445)Time elapsed: 2.056 s
% 18.92/2.75 % (31445)Instructions burned: 747 (million)
% 18.92/2.75 % (31445)------------------------------
% 18.92/2.75 % (31445)------------------------------
% 20.84/3.00 % (31481)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/10147Mi)
% 21.71/3.13 % (31449)Instruction limit reached!
% 21.71/3.13 % (31449)------------------------------
% 21.71/3.13 % (31449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.71/3.13 % (31449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.71/3.13 % (31449)Termination reason: Unknown
% 21.71/3.13 % (31449)Termination phase: Saturation
% 21.71/3.13
% 21.71/3.13 % (31449)Memory used [KB]: 17782
% 21.71/3.13 % (31449)Time elapsed: 2.400 s
% 21.71/3.13 % (31449)Instructions burned: 981 (million)
% 21.71/3.13 % (31449)------------------------------
% 21.71/3.13 % (31449)------------------------------
% 22.51/3.17 % (31444)Instruction limit reached!
% 22.51/3.17 % (31444)------------------------------
% 22.51/3.17 % (31444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.51/3.17 % (31444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.51/3.17 % (31444)Termination reason: Unknown
% 22.51/3.17 % (31444)Termination phase: Saturation
% 22.51/3.17
% 22.51/3.17 % (31444)Memory used [KB]: 15991
% 22.51/3.17 % (31444)Time elapsed: 2.526 s
% 22.51/3.17 % (31444)Instructions burned: 934 (million)
% 22.51/3.17 % (31444)------------------------------
% 22.51/3.17 % (31444)------------------------------
% 23.21/3.27 % (31448)Instruction limit reached!
% 23.21/3.27 % (31448)------------------------------
% 23.21/3.27 % (31448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.21/3.27 % (31448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.21/3.27 % (31448)Termination reason: Unknown
% 23.21/3.27 % (31448)Termination phase: Saturation
% 23.21/3.27
% 23.21/3.27 % (31448)Memory used [KB]: 11641
% 23.21/3.27 % (31448)Time elapsed: 2.527 s
% 23.21/3.27 % (31448)Instructions burned: 940 (million)
% 23.21/3.27 % (31448)------------------------------
% 23.21/3.27 % (31448)------------------------------
% 24.02/3.38 % (31483)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/38056Mi)
% 24.02/3.41 % (31483)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 24.02/3.41 % (31483)Terminated due to inappropriate strategy.
% 24.02/3.41 % (31483)------------------------------
% 24.02/3.41 % (31483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.02/3.41 % (31483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.02/3.41 % (31483)Termination reason: Inappropriate
% 24.02/3.41
% 24.02/3.41 % (31483)Memory used [KB]: 1023
% 24.02/3.41 % (31483)Time elapsed: 0.006 s
% 24.02/3.41 % (31483)Instructions burned: 6 (million)
% 24.02/3.41 % (31483)------------------------------
% 24.02/3.41 % (31483)------------------------------
% 24.02/3.43 % (31484)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/33239Mi)
% 24.02/3.45 % (31484)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 24.02/3.45 % (31484)Terminated due to inappropriate strategy.
% 24.02/3.45 % (31484)------------------------------
% 24.02/3.45 % (31484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.02/3.45 % (31484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.02/3.45 % (31484)Termination reason: Inappropriate
% 24.02/3.45
% 24.02/3.45 % (31484)Memory used [KB]: 1023
% 24.02/3.45 % (31484)Time elapsed: 0.006 s
% 24.02/3.45 % (31484)Instructions burned: 6 (million)
% 24.02/3.45 % (31484)------------------------------
% 24.02/3.45 % (31484)------------------------------
% 25.39/3.52 % (31485)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/20987Mi)
% 25.39/3.55 % (31485)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.39/3.55 % (31485)Terminated due to inappropriate strategy.
% 25.39/3.55 % (31485)------------------------------
% 25.39/3.55 % (31485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.39/3.55 % (31485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.39/3.55 % (31485)Termination reason: Inappropriate
% 25.39/3.55
% 25.39/3.55 % (31485)Memory used [KB]: 1023
% 25.39/3.55 % (31485)Time elapsed: 0.006 s
% 25.39/3.55 % (31485)Instructions burned: 6 (million)
% 25.39/3.55 % (31485)------------------------------
% 25.39/3.55 % (31485)------------------------------
% 26.39/3.66 % (31487)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/49917Mi)
% 26.64/3.68 % (31487)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 26.64/3.68 % (31487)Terminated due to inappropriate strategy.
% 26.64/3.68 % (31487)------------------------------
% 26.64/3.68 % (31487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.64/3.68 % (31487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.64/3.68 % (31487)Termination reason: Inappropriate
% 26.64/3.68
% 26.64/3.68 % (31487)Memory used [KB]: 1023
% 26.64/3.68 % (31487)Time elapsed: 0.008 s
% 26.64/3.68 % (31487)Instructions burned: 8 (million)
% 26.64/3.68 % (31487)------------------------------
% 26.64/3.68 % (31487)------------------------------
% 26.64/3.69 % (31488)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/19144Mi)
% 27.22/3.76 % (31443)Instruction limit reached!
% 27.22/3.76 % (31443)------------------------------
% 27.22/3.76 % (31443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.22/3.76 % (31443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.22/3.76 % (31443)Termination reason: Unknown
% 27.22/3.76 % (31443)Termination phase: Saturation
% 27.22/3.76
% 27.22/3.76 % (31443)Memory used [KB]: 16886
% 27.22/3.76 % (31443)Time elapsed: 3.162 s
% 27.22/3.76 % (31443)Instructions burned: 920 (million)
% 27.22/3.76 % (31443)------------------------------
% 27.22/3.76 % (31443)------------------------------
% 27.22/3.80 % (31489)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/27492Mi)
% 28.90/3.99 % (31490)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/6101Mi)
% 28.90/4.01 % (31491)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/90Mi)
% 30.84/4.24 % (31491)Instruction limit reached!
% 30.84/4.24 % (31491)------------------------------
% 30.84/4.24 % (31491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.84/4.24 % (31491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.84/4.24 % (31491)Termination reason: Unknown
% 30.84/4.24 % (31491)Termination phase: Saturation
% 30.84/4.24
% 30.84/4.24 % (31491)Memory used [KB]: 6652
% 30.84/4.24 % (31491)Time elapsed: 0.404 s
% 30.84/4.24 % (31491)Instructions burned: 91 (million)
% 30.84/4.24 % (31491)------------------------------
% 30.84/4.24 % (31491)------------------------------
% 32.85/4.49 % (31493)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/91600Mi)
% 36.23/4.89 % (31459)Instruction limit reached!
% 36.23/4.89 % (31459)------------------------------
% 36.23/4.89 % (31459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.23/4.89 % (31459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.23/4.89 % (31459)Termination reason: Unknown
% 36.23/4.89 % (31459)Termination phase: Saturation
% 36.23/4.89
% 36.23/4.89 % (31459)Memory used [KB]: 6012
% 36.23/4.89 % (31459)Time elapsed: 4.015 s
% 36.23/4.89 % (31459)Instructions burned: 1824 (million)
% 36.23/4.89 % (31459)------------------------------
% 36.23/4.89 % (31459)------------------------------
% 36.82/4.98 % (31451)Instruction limit reached!
% 36.82/4.98 % (31451)------------------------------
% 36.82/4.98 % (31451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.82/4.98 % (31451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.82/4.98 % (31451)Termination reason: Unknown
% 36.82/4.98 % (31451)Termination phase: Saturation
% 36.82/4.98
% 36.82/4.98 % (31451)Memory used [KB]: 5117
% 36.82/4.98 % (31451)Time elapsed: 4.268 s
% 36.82/4.98 % (31451)Instructions burned: 2016 (million)
% 36.82/4.98 % (31451)------------------------------
% 36.82/4.98 % (31451)------------------------------
% 37.54/5.08 % (31495)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/7127Mi)
% 38.80/5.23 % (31496)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/35256Mi)
% 39.75/5.33 % (31465)Instruction limit reached!
% 39.75/5.33 % (31465)------------------------------
% 39.75/5.33 % (31465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.75/5.33 % (31465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.75/5.33 % (31465)Termination reason: Unknown
% 39.75/5.33 % (31465)Termination phase: Saturation
% 39.75/5.33
% 39.75/5.33 % (31465)Memory used [KB]: 4605
% 39.75/5.33 % (31465)Time elapsed: 4.264 s
% 39.75/5.33 % (31465)Instructions burned: 2016 (million)
% 39.75/5.33 % (31465)------------------------------
% 39.75/5.33 % (31465)------------------------------
% 41.61/5.58 % (31497)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/32293Mi)
% 46.81/6.24 % (31470)Instruction limit reached!
% 46.81/6.24 % (31470)------------------------------
% 46.81/6.24 % (31470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.81/6.24 % (31470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.81/6.24 % (31470)Termination reason: Unknown
% 46.81/6.24 % (31470)Termination phase: Saturation
% 46.81/6.24
% 46.81/6.24 % (31470)Memory used [KB]: 5756
% 46.81/6.24 % (31470)Time elapsed: 4.898 s
% 46.81/6.24 % (31470)Instructions burned: 1825 (million)
% 46.81/6.24 % (31470)------------------------------
% 46.81/6.24 % (31470)------------------------------
% 48.59/6.44 % (31460)Instruction limit reached!
% 48.59/6.44 % (31460)------------------------------
% 48.59/6.44 % (31460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.59/6.44 % (31460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.59/6.44 % (31460)Termination reason: Unknown
% 48.59/6.44 % (31460)Termination phase: Saturation
% 48.59/6.44
% 48.59/6.44 % (31460)Memory used [KB]: 17910
% 48.59/6.44 % (31460)Time elapsed: 5.561 s
% 48.59/6.44 % (31460)Instructions burned: 2135 (million)
% 48.59/6.44 % (31460)------------------------------
% 48.59/6.44 % (31460)------------------------------
% 49.51/6.59 % (31498)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/29337Mi)
% 51.04/6.79 % (31513)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/99860Mi)
% 51.50/6.82 % (31513)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 51.50/6.82 % (31513)Terminated due to inappropriate strategy.
% 51.50/6.82 % (31513)------------------------------
% 51.50/6.82 % (31513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.50/6.82 % (31513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.50/6.82 % (31513)Termination reason: Inappropriate
% 51.50/6.82
% 51.50/6.82 % (31513)Memory used [KB]: 1023
% 51.50/6.82 % (31513)Time elapsed: 0.007 s
% 51.50/6.82 % (31513)Instructions burned: 7 (million)
% 51.50/6.82 % (31513)------------------------------
% 51.50/6.82 % (31513)------------------------------
% 54.27/7.17 % (31515)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/96985Mi)
% 54.53/7.20 % (31515)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 54.53/7.20 % (31515)Terminated due to inappropriate strategy.
% 54.53/7.20 % (31515)------------------------------
% 54.53/7.20 % (31515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.53/7.20 % (31515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.53/7.20 % (31515)Termination reason: Inappropriate
% 54.53/7.20
% 54.53/7.20 % (31515)Memory used [KB]: 1023
% 54.53/7.20 % (31515)Time elapsed: 0.006 s
% 54.53/7.20 % (31515)Instructions burned: 6 (million)
% 54.53/7.20 % (31515)------------------------------
% 54.53/7.20 % (31515)------------------------------
% 55.91/7.42 % (31455)Instruction limit reached!
% 55.91/7.42 % (31455)------------------------------
% 55.91/7.42 % (31455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.91/7.42 % (31455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.91/7.42 % (31455)Termination reason: Unknown
% 55.91/7.42 % (31455)Termination phase: Saturation
% 55.91/7.42
% 55.91/7.42 % (31455)Memory used [KB]: 49380
% 55.91/7.42 % (31455)Time elapsed: 6.691 s
% 55.91/7.42 % (31455)Instructions burned: 4756 (million)
% 55.91/7.42 % (31455)------------------------------
% 55.91/7.42 % (31455)------------------------------
% 55.91/7.45 % (31516)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=99648:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/99648Mi)
% 56.60/7.47 % (31516)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 56.60/7.47 % (31516)Terminated due to inappropriate strategy.
% 56.60/7.47 % (31516)------------------------------
% 56.60/7.47 % (31516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.60/7.47 % (31516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.60/7.47 % (31516)Termination reason: Inappropriate
% 56.60/7.47
% 56.60/7.47 % (31516)Memory used [KB]: 1023
% 56.60/7.47 % (31516)Time elapsed: 0.007 s
% 56.60/7.47 % (31516)Instructions burned: 7 (million)
% 56.60/7.47 % (31516)------------------------------
% 56.60/7.47 % (31516)------------------------------
% 57.48/7.57 % (31517)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=99882:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/99882Mi)
% 57.63/7.58 % (31517)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 57.63/7.58 % (31517)Terminated due to inappropriate strategy.
% 57.63/7.58 % (31517)------------------------------
% 57.63/7.58 % (31517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.63/7.58 % (31517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.63/7.58 % (31517)Termination reason: Inappropriate
% 57.63/7.58
% 57.63/7.58 % (31517)Memory used [KB]: 1023
% 57.63/7.58 % (31517)Time elapsed: 0.014 s
% 57.63/7.58 % (31517)Instructions burned: 8 (million)
% 57.63/7.58 % (31517)------------------------------
% 57.63/7.58 % (31517)------------------------------
% 58.31/7.71 % (31519)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=28201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/28201Mi)
% 58.70/7.72 % (31518)fmb+10_1:1_bce=on:fmbas=predicate:fmbsr=1.5:fmbsso=preprocessed_usage:nm=4:skr=on:i=99913:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/99913Mi)
% 58.70/7.73 % (31518)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 58.70/7.74 % (31518)Terminated due to inappropriate strategy.
% 58.70/7.74 % (31518)------------------------------
% 58.70/7.74 % (31518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.70/7.74 % (31518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.70/7.74 % (31518)Termination reason: Inappropriate
% 58.70/7.74
% 58.70/7.74 % (31518)Memory used [KB]: 1023
% 58.70/7.74 % (31518)Time elapsed: 0.006 s
% 58.70/7.74 % (31518)Instructions burned: 9 (million)
% 58.70/7.74 % (31518)------------------------------
% 58.70/7.74 % (31518)------------------------------
% 59.89/7.90 % (31543)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/9707Mi)
% 66.27/8.67 % (31461)Instruction limit reached!
% 66.27/8.67 % (31461)------------------------------
% 66.27/8.67 % (31461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.27/8.67 % (31461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.27/8.67 % (31461)Termination reason: Unknown
% 66.27/8.67 % (31461)Termination phase: Saturation
% 66.27/8.67
% 66.27/8.67 % (31461)Memory used [KB]: 31854
% 66.27/8.67 % (31461)Time elapsed: 7.761 s
% 66.27/8.67 % (31461)Instructions burned: 2892 (million)
% 66.27/8.67 % (31461)------------------------------
% 66.27/8.67 % (31461)------------------------------
% 67.22/8.82 % (31753)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=144582:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/144582Mi)
% 67.67/8.89 % (31452)Instruction limit reached!
% 67.67/8.89 % (31452)------------------------------
% 67.67/8.89 % (31452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.20/8.91 % (31453)First to succeed.
% 68.20/8.92 % (31452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.20/8.92 % (31452)Termination reason: Unknown
% 68.20/8.92 % (31452)Termination phase: Saturation
% 68.20/8.92
% 68.20/8.92 % (31452)Memory used [KB]: 40169
% 68.20/8.92 % (31452)Time elapsed: 8.113 s
% 68.20/8.92 % (31452)Instructions burned: 3735 (million)
% 68.20/8.92 % (31452)------------------------------
% 68.20/8.92 % (31452)------------------------------
% 68.63/9.01 % (31453)Refutation found. Thanks to Tanya!
% 68.63/9.01 % SZS status Theorem for theBenchmark
% 68.63/9.01 % SZS output start Proof for theBenchmark
% See solution above
% 68.63/9.03 % (31453)------------------------------
% 68.63/9.03 % (31453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.63/9.03 % (31453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.63/9.03 % (31453)Termination reason: Refutation
% 68.63/9.03
% 68.63/9.03 % (31453)Memory used [KB]: 6780
% 68.63/9.03 % (31453)Time elapsed: 8.196 s
% 68.63/9.03 % (31453)Instructions burned: 3899 (million)
% 68.63/9.03 % (31453)------------------------------
% 68.63/9.03 % (31453)------------------------------
% 68.63/9.03 % (31408)Success in time 8.718 s
%------------------------------------------------------------------------------